Properties

Label 483.2.bf.a.19.22
Level $483$
Weight $2$
Character 483.19
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 19.22
Character \(\chi\) \(=\) 483.19
Dual form 483.2.bf.a.178.22

$q$-expansion

\(f(q)\) \(=\) \(q+(1.10657 + 0.105665i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(-0.750523 - 0.144651i) q^{4} +(3.37131 - 1.73803i) q^{5} +(-0.840095 + 0.727946i) q^{6} +(-0.627390 - 2.57029i) q^{7} +(-2.94838 - 0.865721i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})\) \(q+(1.10657 + 0.105665i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(-0.750523 - 0.144651i) q^{4} +(3.37131 - 1.73803i) q^{5} +(-0.840095 + 0.727946i) q^{6} +(-0.627390 - 2.57029i) q^{7} +(-2.94838 - 0.865721i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(3.91425 - 1.56703i) q^{10} +(-0.285682 - 2.99180i) q^{11} +(0.622609 - 0.443358i) q^{12} +(-2.29335 - 0.329734i) q^{13} +(-0.422663 - 2.91050i) q^{14} +(-1.06860 + 3.63931i) q^{15} +(-1.75194 - 0.701372i) q^{16} +(1.19799 - 3.46136i) q^{17} +(0.0528923 - 1.11035i) q^{18} +(2.28076 + 6.58983i) q^{19} +(-2.78166 + 0.816768i) q^{20} +(2.29315 + 1.31964i) q^{21} -3.34082i q^{22} +(-1.59110 - 4.52420i) q^{23} +(2.66116 - 1.53642i) q^{24} +(5.44471 - 7.64603i) q^{25} +(-2.50291 - 0.607199i) q^{26} +(0.755750 + 0.654861i) q^{27} +(0.0990745 + 2.01981i) q^{28} +(6.18274 + 7.13526i) q^{29} +(-1.56703 + 3.91425i) q^{30} +(2.57633 - 0.625012i) q^{31} +(3.59797 + 1.85488i) q^{32} +(2.36241 + 1.85782i) q^{33} +(1.69140 - 3.70365i) q^{34} +(-6.58237 - 7.57482i) q^{35} +(-0.108776 + 0.756556i) q^{36} +(-2.24970 + 0.107166i) q^{37} +(1.82751 + 7.53311i) q^{38} +(1.82123 - 1.43223i) q^{39} +(-11.4446 + 2.20576i) q^{40} +(3.73314 - 5.80888i) q^{41} +(2.39810 + 1.70258i) q^{42} +(1.76468 + 6.00996i) q^{43} +(-0.218357 + 2.28674i) q^{44} +(-1.89648 - 3.28480i) q^{45} +(-1.28262 - 5.17447i) q^{46} +(-7.19644 - 4.15486i) q^{47} +(1.71659 - 0.783938i) q^{48} +(-6.21276 + 3.22515i) q^{49} +(6.83287 - 7.88556i) q^{50} +(1.67840 + 3.25563i) q^{51} +(1.67351 + 0.579208i) q^{52} +(8.24340 + 10.4823i) q^{53} +(0.767095 + 0.804506i) q^{54} +(-6.16297 - 9.58977i) q^{55} +(-0.375372 + 8.12132i) q^{56} +(-6.34319 - 2.89684i) q^{57} +(6.08770 + 8.54897i) q^{58} +(0.639339 + 1.59699i) q^{59} +(1.32844 - 2.57681i) q^{60} +(5.01806 - 4.78471i) q^{61} +(2.91694 - 0.419392i) q^{62} +(-2.53752 + 0.748978i) q^{63} +(6.96051 + 4.47325i) q^{64} +(-8.30468 + 2.87428i) q^{65} +(2.41787 + 2.30543i) q^{66} +(-6.05249 - 4.30996i) q^{67} +(-1.39981 + 2.42454i) q^{68} +(4.37230 + 1.97052i) q^{69} +(-6.48347 - 9.07760i) q^{70} +(3.77666 + 8.26972i) q^{71} +(-0.724451 + 2.98623i) q^{72} +(2.35864 - 12.2378i) q^{73} +(-2.50078 - 0.119127i) q^{74} +(1.77641 + 9.21688i) q^{75} +(-0.758535 - 5.27573i) q^{76} +(-7.51055 + 2.61131i) q^{77} +(2.16666 - 1.39243i) q^{78} +(-7.26838 + 9.24250i) q^{79} +(-7.12535 + 0.680389i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(4.74478 - 6.03347i) q^{82} +(-11.3350 + 7.28458i) q^{83} +(-1.53018 - 1.32213i) q^{84} +(-1.97716 - 13.7515i) q^{85} +(1.31771 + 6.83692i) q^{86} +(-9.43061 - 0.449236i) q^{87} +(-1.74777 + 9.06827i) q^{88} +(-0.831743 + 3.42849i) q^{89} +(-1.75150 - 3.83525i) q^{90} +(0.591312 + 6.10143i) q^{91} +(0.539726 + 3.62567i) q^{92} +(-1.32553 + 2.29589i) q^{93} +(-7.52435 - 5.35806i) q^{94} +(19.1425 + 18.2523i) q^{95} +(-3.82533 + 1.32396i) q^{96} +(3.50532 + 2.25274i) q^{97} +(-7.21565 + 2.91238i) q^{98} +(-2.97482 + 0.427714i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{15}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.10657 + 0.105665i 0.782464 + 0.0747162i 0.478639 0.878012i \(-0.341130\pi\)
0.303825 + 0.952728i \(0.401736\pi\)
\(3\) −0.690079 + 0.723734i −0.398417 + 0.417848i
\(4\) −0.750523 0.144651i −0.375261 0.0723257i
\(5\) 3.37131 1.73803i 1.50770 0.777272i 0.511086 0.859530i \(-0.329243\pi\)
0.996611 + 0.0822577i \(0.0262131\pi\)
\(6\) −0.840095 + 0.727946i −0.342967 + 0.297183i
\(7\) −0.627390 2.57029i −0.237131 0.971478i
\(8\) −2.94838 0.865721i −1.04241 0.306079i
\(9\) −0.0475819 0.998867i −0.0158606 0.332956i
\(10\) 3.91425 1.56703i 1.23779 0.495538i
\(11\) −0.285682 2.99180i −0.0861364 0.902061i −0.930500 0.366291i \(-0.880627\pi\)
0.844364 0.535770i \(-0.179979\pi\)
\(12\) 0.622609 0.443358i 0.179732 0.127986i
\(13\) −2.29335 0.329734i −0.636060 0.0914516i −0.183261 0.983064i \(-0.558665\pi\)
−0.452799 + 0.891613i \(0.649574\pi\)
\(14\) −0.422663 2.91050i −0.112961 0.777864i
\(15\) −1.06860 + 3.63931i −0.275911 + 0.939667i
\(16\) −1.75194 0.701372i −0.437986 0.175343i
\(17\) 1.19799 3.46136i 0.290554 0.839502i −0.701384 0.712783i \(-0.747434\pi\)
0.991939 0.126719i \(-0.0404445\pi\)
\(18\) 0.0528923 1.11035i 0.0124668 0.261711i
\(19\) 2.28076 + 6.58983i 0.523242 + 1.51181i 0.828749 + 0.559620i \(0.189053\pi\)
−0.305507 + 0.952190i \(0.598826\pi\)
\(20\) −2.78166 + 0.816768i −0.621997 + 0.182635i
\(21\) 2.29315 + 1.31964i 0.500407 + 0.287969i
\(22\) 3.34082i 0.712266i
\(23\) −1.59110 4.52420i −0.331768 0.943361i
\(24\) 2.66116 1.53642i 0.543208 0.313621i
\(25\) 5.44471 7.64603i 1.08894 1.52921i
\(26\) −2.50291 0.607199i −0.490861 0.119082i
\(27\) 0.755750 + 0.654861i 0.145444 + 0.126028i
\(28\) 0.0990745 + 2.01981i 0.0187233 + 0.381709i
\(29\) 6.18274 + 7.13526i 1.14811 + 1.32499i 0.937730 + 0.347365i \(0.112923\pi\)
0.210376 + 0.977620i \(0.432531\pi\)
\(30\) −1.56703 + 3.91425i −0.286099 + 0.714640i
\(31\) 2.57633 0.625012i 0.462723 0.112255i 0.00238127 0.999997i \(-0.499242\pi\)
0.460342 + 0.887742i \(0.347727\pi\)
\(32\) 3.59797 + 1.85488i 0.636038 + 0.327900i
\(33\) 2.36241 + 1.85782i 0.411243 + 0.323405i
\(34\) 1.69140 3.70365i 0.290073 0.635171i
\(35\) −6.58237 7.57482i −1.11262 1.28038i
\(36\) −0.108776 + 0.756556i −0.0181294 + 0.126093i
\(37\) −2.24970 + 0.107166i −0.369848 + 0.0176180i −0.231683 0.972791i \(-0.574423\pi\)
−0.138165 + 0.990409i \(0.544120\pi\)
\(38\) 1.82751 + 7.53311i 0.296462 + 1.22203i
\(39\) 1.82123 1.43223i 0.291630 0.229341i
\(40\) −11.4446 + 2.20576i −1.80954 + 0.348761i
\(41\) 3.73314 5.80888i 0.583018 0.907194i −0.416980 0.908916i \(-0.636912\pi\)
0.999999 + 0.00172136i \(0.000547926\pi\)
\(42\) 2.39810 + 1.70258i 0.370035 + 0.262714i
\(43\) 1.76468 + 6.00996i 0.269112 + 0.916511i 0.977544 + 0.210732i \(0.0675847\pi\)
−0.708432 + 0.705779i \(0.750597\pi\)
\(44\) −0.218357 + 2.28674i −0.0329186 + 0.344739i
\(45\) −1.89648 3.28480i −0.282710 0.489668i
\(46\) −1.28262 5.17447i −0.189112 0.762934i
\(47\) −7.19644 4.15486i −1.04971 0.606049i −0.127140 0.991885i \(-0.540580\pi\)
−0.922568 + 0.385835i \(0.873913\pi\)
\(48\) 1.71659 0.783938i 0.247768 0.113152i
\(49\) −6.21276 + 3.22515i −0.887538 + 0.460735i
\(50\) 6.83287 7.88556i 0.966314 1.11519i
\(51\) 1.67840 + 3.25563i 0.235022 + 0.455880i
\(52\) 1.67351 + 0.579208i 0.232074 + 0.0803218i
\(53\) 8.24340 + 10.4823i 1.13232 + 1.43986i 0.881723 + 0.471767i \(0.156384\pi\)
0.250594 + 0.968092i \(0.419374\pi\)
\(54\) 0.767095 + 0.804506i 0.104388 + 0.109479i
\(55\) −6.16297 9.58977i −0.831014 1.29308i
\(56\) −0.375372 + 8.12132i −0.0501613 + 1.08526i
\(57\) −6.34319 2.89684i −0.840176 0.383695i
\(58\) 6.08770 + 8.54897i 0.799354 + 1.12254i
\(59\) 0.639339 + 1.59699i 0.0832348 + 0.207911i 0.964147 0.265370i \(-0.0854940\pi\)
−0.880912 + 0.473280i \(0.843070\pi\)
\(60\) 1.32844 2.57681i 0.171501 0.332665i
\(61\) 5.01806 4.78471i 0.642497 0.612619i −0.297123 0.954839i \(-0.596027\pi\)
0.939620 + 0.342220i \(0.111179\pi\)
\(62\) 2.91694 0.419392i 0.370451 0.0532629i
\(63\) −2.53752 + 0.748978i −0.319698 + 0.0943624i
\(64\) 6.96051 + 4.47325i 0.870064 + 0.559156i
\(65\) −8.30468 + 2.87428i −1.03007 + 0.356510i
\(66\) 2.41787 + 2.30543i 0.297619 + 0.283779i
\(67\) −6.05249 4.30996i −0.739429 0.526545i 0.147155 0.989114i \(-0.452989\pi\)
−0.886584 + 0.462569i \(0.846928\pi\)
\(68\) −1.39981 + 2.42454i −0.169751 + 0.294018i
\(69\) 4.37230 + 1.97052i 0.526364 + 0.237223i
\(70\) −6.48347 9.07760i −0.774923 1.08498i
\(71\) 3.77666 + 8.26972i 0.448207 + 0.981435i 0.990019 + 0.140936i \(0.0450111\pi\)
−0.541812 + 0.840500i \(0.682262\pi\)
\(72\) −0.724451 + 2.98623i −0.0853774 + 0.351930i
\(73\) 2.35864 12.2378i 0.276058 1.43233i −0.533755 0.845639i \(-0.679220\pi\)
0.809813 0.586688i \(-0.199568\pi\)
\(74\) −2.50078 0.119127i −0.290709 0.0138482i
\(75\) 1.77641 + 9.21688i 0.205122 + 1.06427i
\(76\) −0.758535 5.27573i −0.0870100 0.605168i
\(77\) −7.51055 + 2.61131i −0.855907 + 0.297586i
\(78\) 2.16666 1.39243i 0.245326 0.157661i
\(79\) −7.26838 + 9.24250i −0.817757 + 1.03986i 0.180656 + 0.983546i \(0.442178\pi\)
−0.998413 + 0.0563162i \(0.982065\pi\)
\(80\) −7.12535 + 0.680389i −0.796639 + 0.0760698i
\(81\) −0.995472 + 0.0950560i −0.110608 + 0.0105618i
\(82\) 4.74478 6.03347i 0.523973 0.666286i
\(83\) −11.3350 + 7.28458i −1.24418 + 0.799587i −0.986038 0.166520i \(-0.946747\pi\)
−0.258143 + 0.966107i \(0.583111\pi\)
\(84\) −1.53018 1.32213i −0.166956 0.144256i
\(85\) −1.97716 13.7515i −0.214453 1.49155i
\(86\) 1.31771 + 6.83692i 0.142092 + 0.737244i
\(87\) −9.43061 0.449236i −1.01107 0.0481631i
\(88\) −1.74777 + 9.06827i −0.186312 + 0.966681i
\(89\) −0.831743 + 3.42849i −0.0881646 + 0.363420i −0.998755 0.0498912i \(-0.984113\pi\)
0.910590 + 0.413311i \(0.135628\pi\)
\(90\) −1.75150 3.83525i −0.184624 0.404271i
\(91\) 0.591312 + 6.10143i 0.0619864 + 0.639604i
\(92\) 0.539726 + 3.62567i 0.0562704 + 0.378002i
\(93\) −1.32553 + 2.29589i −0.137451 + 0.238072i
\(94\) −7.52435 5.35806i −0.776077 0.552642i
\(95\) 19.1425 + 18.2523i 1.96398 + 1.87265i
\(96\) −3.82533 + 1.32396i −0.390421 + 0.135126i
\(97\) 3.50532 + 2.25274i 0.355912 + 0.228731i 0.706362 0.707851i \(-0.250335\pi\)
−0.350450 + 0.936581i \(0.613971\pi\)
\(98\) −7.21565 + 2.91238i −0.728891 + 0.294195i
\(99\) −2.97482 + 0.427714i −0.298980 + 0.0429869i
\(100\) −5.19239 + 4.95093i −0.519239 + 0.495093i
\(101\) −3.48814 + 6.76606i −0.347083 + 0.673248i −0.996167 0.0874691i \(-0.972122\pi\)
0.649084 + 0.760717i \(0.275152\pi\)
\(102\) 1.51326 + 3.77994i 0.149835 + 0.374269i
\(103\) −1.70690 2.39701i −0.168186 0.236184i 0.721877 0.692021i \(-0.243279\pi\)
−0.890063 + 0.455837i \(0.849340\pi\)
\(104\) 6.47619 + 2.95758i 0.635043 + 0.290014i
\(105\) 10.0245 + 0.463339i 0.978292 + 0.0452173i
\(106\) 8.01429 + 12.4705i 0.778417 + 1.21124i
\(107\) 6.36114 + 6.67138i 0.614955 + 0.644946i 0.955399 0.295319i \(-0.0954258\pi\)
−0.340444 + 0.940265i \(0.610577\pi\)
\(108\) −0.472481 0.600808i −0.0454645 0.0578128i
\(109\) −4.76191 1.64811i −0.456108 0.157861i 0.0893469 0.996001i \(-0.471522\pi\)
−0.545455 + 0.838140i \(0.683643\pi\)
\(110\) −5.80646 11.2630i −0.553624 1.07388i
\(111\) 1.47491 1.70214i 0.139992 0.161560i
\(112\) −0.703577 + 4.94303i −0.0664818 + 0.467072i
\(113\) −1.52807 + 0.697847i −0.143749 + 0.0656479i −0.485991 0.873964i \(-0.661541\pi\)
0.342242 + 0.939612i \(0.388814\pi\)
\(114\) −6.71309 3.87581i −0.628739 0.363002i
\(115\) −13.2273 12.4871i −1.23345 1.16443i
\(116\) −3.60816 6.24952i −0.335010 0.580254i
\(117\) −0.220238 + 2.30644i −0.0203610 + 0.213230i
\(118\) 0.538728 + 1.83474i 0.0495940 + 0.168902i
\(119\) −9.64829 0.907553i −0.884457 0.0831952i
\(120\) 6.30126 9.80496i 0.575224 0.895066i
\(121\) 1.93197 0.372357i 0.175634 0.0338506i
\(122\) 6.05841 4.76439i 0.548503 0.431348i
\(123\) 1.62792 + 6.71038i 0.146785 + 0.605055i
\(124\) −2.02401 + 0.0964153i −0.181761 + 0.00865835i
\(125\) 2.36781 16.4685i 0.211784 1.47299i
\(126\) −2.88709 + 0.560671i −0.257203 + 0.0499485i
\(127\) 6.01209 13.1646i 0.533487 1.16817i −0.430590 0.902548i \(-0.641694\pi\)
0.964076 0.265625i \(-0.0855783\pi\)
\(128\) 0.865807 + 0.680878i 0.0765272 + 0.0601817i
\(129\) −5.56739 2.87019i −0.490181 0.252706i
\(130\) −9.49343 + 2.30308i −0.832629 + 0.201994i
\(131\) 1.23883 3.09445i 0.108237 0.270363i −0.864355 0.502883i \(-0.832273\pi\)
0.972592 + 0.232519i \(0.0746969\pi\)
\(132\) −1.50431 1.73606i −0.130933 0.151105i
\(133\) 15.5068 9.99660i 1.34461 0.866815i
\(134\) −6.24210 5.40881i −0.539235 0.467250i
\(135\) 3.68604 + 0.894223i 0.317244 + 0.0769625i
\(136\) −6.52868 + 9.16825i −0.559830 + 0.786171i
\(137\) 16.0980 9.29419i 1.37535 0.794056i 0.383751 0.923437i \(-0.374632\pi\)
0.991595 + 0.129380i \(0.0412988\pi\)
\(138\) 4.63005 + 2.64252i 0.394136 + 0.224946i
\(139\) 0.126715i 0.0107478i 0.999986 + 0.00537390i \(0.00171057\pi\)
−0.999986 + 0.00537390i \(0.998289\pi\)
\(140\) 3.84451 + 6.63723i 0.324921 + 0.560948i
\(141\) 7.97313 2.34112i 0.671458 0.197158i
\(142\) 3.30532 + 9.55009i 0.277376 + 0.801426i
\(143\) −0.331328 + 6.95543i −0.0277070 + 0.581642i
\(144\) −0.617217 + 1.78333i −0.0514347 + 0.148611i
\(145\) 33.2453 + 13.3094i 2.76087 + 1.10529i
\(146\) 3.90311 13.2928i 0.323024 1.10012i
\(147\) 1.95315 6.72199i 0.161093 0.554421i
\(148\) 1.70395 + 0.244991i 0.140064 + 0.0201382i
\(149\) 15.0840 10.7412i 1.23573 0.879956i 0.239861 0.970807i \(-0.422898\pi\)
0.995865 + 0.0908509i \(0.0289587\pi\)
\(150\) 0.991823 + 10.3868i 0.0809820 + 0.848082i
\(151\) 5.72308 2.29117i 0.465737 0.186453i −0.126912 0.991914i \(-0.540506\pi\)
0.592649 + 0.805461i \(0.298082\pi\)
\(152\) −1.01959 21.4038i −0.0826995 1.73608i
\(153\) −3.51444 1.03193i −0.284125 0.0834268i
\(154\) −8.58688 + 2.09600i −0.691951 + 0.168900i
\(155\) 7.59933 6.58486i 0.610393 0.528909i
\(156\) −1.57405 + 0.811479i −0.126025 + 0.0649703i
\(157\) 0.190136 + 0.0366458i 0.0151745 + 0.00292465i 0.196833 0.980437i \(-0.436934\pi\)
−0.181658 + 0.983362i \(0.558146\pi\)
\(158\) −9.01959 + 9.45947i −0.717560 + 0.752555i
\(159\) −13.2750 1.26761i −1.05278 0.100528i
\(160\) 15.3537 1.21382
\(161\) −10.6303 + 6.92803i −0.837782 + 0.546005i
\(162\) −1.11160 −0.0873359
\(163\) 1.71879 + 0.164125i 0.134626 + 0.0128552i 0.162152 0.986766i \(-0.448157\pi\)
−0.0275254 + 0.999621i \(0.508763\pi\)
\(164\) −3.64207 + 3.81969i −0.284398 + 0.298268i
\(165\) 11.1934 + 2.15735i 0.871403 + 0.167949i
\(166\) −13.3127 + 6.86319i −1.03327 + 0.532687i
\(167\) −4.20197 + 3.64103i −0.325158 + 0.281751i −0.802108 0.597179i \(-0.796288\pi\)
0.476949 + 0.878931i \(0.341743\pi\)
\(168\) −5.61864 5.87602i −0.433487 0.453345i
\(169\) −7.32269 2.15014i −0.563284 0.165395i
\(170\) −0.734825 15.4259i −0.0563585 1.18311i
\(171\) 6.47384 2.59173i 0.495067 0.198195i
\(172\) −0.455086 4.76588i −0.0347000 0.363395i
\(173\) 12.6747 9.02564i 0.963643 0.686207i 0.0141186 0.999900i \(-0.495506\pi\)
0.949524 + 0.313693i \(0.101566\pi\)
\(174\) −10.3882 1.49359i −0.787526 0.113229i
\(175\) −23.0684 9.19744i −1.74381 0.695261i
\(176\) −1.59786 + 5.44183i −0.120444 + 0.410193i
\(177\) −1.59699 0.639339i −0.120037 0.0480557i
\(178\) −1.28265 + 3.70599i −0.0961390 + 0.277775i
\(179\) −0.402463 + 8.44873i −0.0300815 + 0.631488i 0.932610 + 0.360886i \(0.117526\pi\)
−0.962691 + 0.270602i \(0.912777\pi\)
\(180\) 0.948200 + 2.73964i 0.0706746 + 0.204201i
\(181\) −9.64795 + 2.83289i −0.717127 + 0.210567i −0.619884 0.784693i \(-0.712820\pi\)
−0.0972426 + 0.995261i \(0.531002\pi\)
\(182\) 0.00962255 + 6.81415i 0.000713271 + 0.505099i
\(183\) 6.93357i 0.512544i
\(184\) 0.774470 + 14.7165i 0.0570947 + 1.08491i
\(185\) −7.39818 + 4.27134i −0.543925 + 0.314035i
\(186\) −1.70939 + 2.40050i −0.125338 + 0.176013i
\(187\) −10.6979 2.59529i −0.782310 0.189786i
\(188\) 4.80008 + 4.15930i 0.350082 + 0.303348i
\(189\) 1.20903 2.35335i 0.0879441 0.171181i
\(190\) 19.2539 + 22.2202i 1.39682 + 1.61202i
\(191\) −1.18729 + 2.96571i −0.0859093 + 0.214591i −0.965101 0.261876i \(-0.915659\pi\)
0.879192 + 0.476467i \(0.158083\pi\)
\(192\) −8.04075 + 1.95066i −0.580291 + 0.140777i
\(193\) 10.0795 + 5.19637i 0.725541 + 0.374043i 0.781094 0.624413i \(-0.214662\pi\)
−0.0555529 + 0.998456i \(0.517692\pi\)
\(194\) 3.64086 + 2.86320i 0.261398 + 0.205566i
\(195\) 3.65067 7.99386i 0.261430 0.572452i
\(196\) 5.12934 1.52186i 0.366382 0.108704i
\(197\) −2.64067 + 18.3663i −0.188140 + 1.30854i 0.648679 + 0.761062i \(0.275322\pi\)
−0.836819 + 0.547479i \(0.815587\pi\)
\(198\) −3.33704 + 0.158963i −0.237153 + 0.0112970i
\(199\) −2.48679 10.2507i −0.176284 0.726653i −0.989481 0.144664i \(-0.953790\pi\)
0.813197 0.581989i \(-0.197725\pi\)
\(200\) −22.6724 + 17.8298i −1.60318 + 1.26075i
\(201\) 7.29596 1.40618i 0.514617 0.0991843i
\(202\) −4.57481 + 7.11855i −0.321883 + 0.500859i
\(203\) 14.4607 20.3680i 1.01494 1.42955i
\(204\) −0.788742 2.68621i −0.0552230 0.188072i
\(205\) 2.48956 26.0719i 0.173878 1.82094i
\(206\) −1.63553 2.83282i −0.113953 0.197372i
\(207\) −4.44337 + 1.80457i −0.308835 + 0.125426i
\(208\) 3.78655 + 2.18616i 0.262550 + 0.151583i
\(209\) 19.0639 8.70617i 1.31867 0.602219i
\(210\) 11.0439 + 1.57196i 0.762100 + 0.108475i
\(211\) −4.85329 + 5.60100i −0.334114 + 0.385588i −0.897802 0.440400i \(-0.854837\pi\)
0.563688 + 0.825988i \(0.309382\pi\)
\(212\) −4.67057 9.05965i −0.320776 0.622219i
\(213\) −8.59127 2.97347i −0.588664 0.203739i
\(214\) 6.33413 + 8.05450i 0.432992 + 0.550594i
\(215\) 16.3948 + 17.1944i 1.11812 + 1.17265i
\(216\) −1.66131 2.58504i −0.113038 0.175890i
\(217\) −3.22282 6.22979i −0.218780 0.422906i
\(218\) −5.09525 2.32692i −0.345094 0.157599i
\(219\) 7.22927 + 10.1521i 0.488509 + 0.686014i
\(220\) 3.23828 + 8.08882i 0.218324 + 0.545348i
\(221\) −3.88872 + 7.54307i −0.261584 + 0.507402i
\(222\) 1.81195 1.72769i 0.121610 0.115955i
\(223\) 4.97036 0.714629i 0.332840 0.0478551i 0.0261309 0.999659i \(-0.491681\pi\)
0.306709 + 0.951803i \(0.400772\pi\)
\(224\) 2.51026 10.4116i 0.167724 0.695652i
\(225\) −7.89644 5.07473i −0.526429 0.338315i
\(226\) −1.76466 + 0.610754i −0.117383 + 0.0406268i
\(227\) 2.76259 + 2.63412i 0.183360 + 0.174833i 0.776200 0.630487i \(-0.217145\pi\)
−0.592840 + 0.805320i \(0.701993\pi\)
\(228\) 4.34167 + 3.09169i 0.287534 + 0.204752i
\(229\) −9.33514 + 16.1689i −0.616883 + 1.06847i 0.373168 + 0.927764i \(0.378272\pi\)
−0.990051 + 0.140709i \(0.955062\pi\)
\(230\) −13.3175 15.2155i −0.878131 1.00328i
\(231\) 3.29298 7.23765i 0.216662 0.476202i
\(232\) −12.0519 26.3900i −0.791246 1.73259i
\(233\) −6.51713 + 26.8640i −0.426952 + 1.75992i 0.198944 + 0.980011i \(0.436249\pi\)
−0.625895 + 0.779907i \(0.715266\pi\)
\(234\) −0.487418 + 2.52897i −0.0318635 + 0.165324i
\(235\) −31.4827 1.49971i −2.05371 0.0978301i
\(236\) −0.248831 1.29106i −0.0161975 0.0840409i
\(237\) −1.67335 11.6384i −0.108696 0.755997i
\(238\) −10.5806 2.02376i −0.685840 0.131181i
\(239\) 11.8047 7.58642i 0.763583 0.490725i −0.0999658 0.994991i \(-0.531873\pi\)
0.863548 + 0.504266i \(0.168237\pi\)
\(240\) 4.42464 5.62638i 0.285609 0.363181i
\(241\) 27.2838 2.60528i 1.75750 0.167821i 0.834089 0.551630i \(-0.185994\pi\)
0.923412 + 0.383809i \(0.125388\pi\)
\(242\) 2.17721 0.207898i 0.139956 0.0133642i
\(243\) 0.618159 0.786053i 0.0396549 0.0504253i
\(244\) −4.45828 + 2.86516i −0.285412 + 0.183423i
\(245\) −15.3398 + 21.6710i −0.980022 + 1.38451i
\(246\) 1.09236 + 7.59753i 0.0696463 + 0.484401i
\(247\) −3.05769 15.8648i −0.194556 1.00945i
\(248\) −8.13708 0.387617i −0.516705 0.0246137i
\(249\) 2.54997 13.2305i 0.161598 0.838448i
\(250\) 4.36029 17.9734i 0.275769 1.13674i
\(251\) −3.26743 7.15468i −0.206238 0.451599i 0.778042 0.628212i \(-0.216213\pi\)
−0.984280 + 0.176613i \(0.943486\pi\)
\(252\) 2.01281 0.195069i 0.126795 0.0122882i
\(253\) −13.0809 + 6.05274i −0.822392 + 0.380533i
\(254\) 8.04384 13.9323i 0.504716 0.874193i
\(255\) 11.3168 + 8.05865i 0.708685 + 0.504652i
\(256\) −11.0902 10.5745i −0.693136 0.660904i
\(257\) −1.26939 + 0.439342i −0.0791826 + 0.0274054i −0.366372 0.930468i \(-0.619400\pi\)
0.287189 + 0.957874i \(0.407279\pi\)
\(258\) −5.85743 3.76434i −0.364668 0.234358i
\(259\) 1.68689 + 5.71514i 0.104818 + 0.355121i
\(260\) 6.64862 0.955927i 0.412330 0.0592841i
\(261\) 6.83300 6.51525i 0.422952 0.403284i
\(262\) 1.69783 3.29333i 0.104892 0.203463i
\(263\) −6.06610 15.1524i −0.374052 0.934336i −0.989286 0.145992i \(-0.953363\pi\)
0.615234 0.788345i \(-0.289062\pi\)
\(264\) −5.35692 7.52274i −0.329695 0.462993i
\(265\) 46.0097 + 21.0119i 2.82635 + 1.29075i
\(266\) 18.2157 9.42343i 1.11688 0.577787i
\(267\) −1.90735 2.96789i −0.116728 0.181632i
\(268\) 3.91909 + 4.11022i 0.239396 + 0.251072i
\(269\) −6.57746 8.36392i −0.401035 0.509957i 0.543032 0.839712i \(-0.317276\pi\)
−0.944067 + 0.329755i \(0.893034\pi\)
\(270\) 3.98438 + 1.37901i 0.242481 + 0.0839236i
\(271\) −5.68019 11.0180i −0.345047 0.669298i 0.650908 0.759157i \(-0.274389\pi\)
−0.995954 + 0.0898593i \(0.971358\pi\)
\(272\) −4.52650 + 5.22386i −0.274459 + 0.316743i
\(273\) −4.82387 3.78252i −0.291954 0.228928i
\(274\) 18.7957 8.58369i 1.13549 0.518560i
\(275\) −24.4308 14.1051i −1.47323 0.850572i
\(276\) −2.99648 2.11138i −0.180367 0.127090i
\(277\) 2.42750 + 4.20455i 0.145854 + 0.252627i 0.929691 0.368339i \(-0.120074\pi\)
−0.783837 + 0.620967i \(0.786740\pi\)
\(278\) −0.0133893 + 0.140219i −0.000803036 + 0.00840977i
\(279\) −0.746891 2.54368i −0.0447152 0.152286i
\(280\) 12.8496 + 28.0319i 0.767912 + 1.67523i
\(281\) −12.2619 + 19.0799i −0.731484 + 1.13821i 0.253796 + 0.967258i \(0.418321\pi\)
−0.985279 + 0.170953i \(0.945315\pi\)
\(282\) 9.07020 1.74814i 0.540123 0.104100i
\(283\) 9.09300 7.15081i 0.540522 0.425072i −0.310212 0.950667i \(-0.600400\pi\)
0.850734 + 0.525596i \(0.176158\pi\)
\(284\) −1.63824 6.75291i −0.0972116 0.400712i
\(285\) −26.4197 + 1.25852i −1.56497 + 0.0745485i
\(286\) −1.10158 + 7.66167i −0.0651379 + 0.453044i
\(287\) −17.2726 5.95081i −1.01957 0.351265i
\(288\) 1.68158 3.68216i 0.0990883 0.216973i
\(289\) 2.81709 + 2.21539i 0.165711 + 0.130317i
\(290\) 35.3819 + 18.2407i 2.07770 + 1.07113i
\(291\) −4.04933 + 0.982357i −0.237376 + 0.0575868i
\(292\) −3.54043 + 8.84357i −0.207188 + 0.517531i
\(293\) −6.58784 7.60277i −0.384866 0.444159i 0.529951 0.848028i \(-0.322210\pi\)
−0.914817 + 0.403870i \(0.867665\pi\)
\(294\) 2.87158 7.23198i 0.167474 0.421778i
\(295\) 4.93104 + 4.27277i 0.287096 + 0.248770i
\(296\) 6.72573 + 1.63165i 0.390925 + 0.0948375i
\(297\) 1.74331 2.44813i 0.101157 0.142055i
\(298\) 17.8264 10.2921i 1.03266 0.596205i
\(299\) 2.15717 + 10.9002i 0.124752 + 0.630375i
\(300\) 7.17444i 0.414217i
\(301\) 14.3402 8.30634i 0.826555 0.478769i
\(302\) 6.57509 1.93062i 0.378354 0.111095i
\(303\) −2.48973 7.19360i −0.143031 0.413262i
\(304\) 0.626157 13.1447i 0.0359126 0.753898i
\(305\) 8.60147 24.8523i 0.492519 1.42304i
\(306\) −3.77994 1.51326i −0.216085 0.0865072i
\(307\) −5.83995 + 19.8891i −0.333304 + 1.13513i 0.606975 + 0.794721i \(0.292383\pi\)
−0.940278 + 0.340407i \(0.889435\pi\)
\(308\) 6.01457 0.873435i 0.342712 0.0497686i
\(309\) 2.91269 + 0.418782i 0.165697 + 0.0238237i
\(310\) 9.10499 6.48364i 0.517129 0.368246i
\(311\) 0.693749 + 7.26526i 0.0393389 + 0.411975i 0.993596 + 0.112989i \(0.0360425\pi\)
−0.954257 + 0.298986i \(0.903351\pi\)
\(312\) −6.60958 + 2.64608i −0.374194 + 0.149805i
\(313\) 0.131757 + 2.76593i 0.00744737 + 0.156340i 0.999528 + 0.0307338i \(0.00978441\pi\)
−0.992080 + 0.125606i \(0.959913\pi\)
\(314\) 0.206527 + 0.0606418i 0.0116550 + 0.00342222i
\(315\) −7.25304 + 6.93534i −0.408663 + 0.390762i
\(316\) 6.79203 5.88533i 0.382081 0.331075i
\(317\) −18.9836 + 9.78672i −1.06622 + 0.549677i −0.899767 0.436371i \(-0.856263\pi\)
−0.166458 + 0.986049i \(0.553233\pi\)
\(318\) −14.5558 2.80540i −0.816249 0.157319i
\(319\) 19.5810 20.5359i 1.09632 1.14979i
\(320\) 31.2407 + 2.98313i 1.74641 + 0.166762i
\(321\) −9.21800 −0.514498
\(322\) −12.4952 + 6.54311i −0.696330 + 0.364633i
\(323\) 25.5421 1.42120
\(324\) 0.760874 + 0.0726547i 0.0422708 + 0.00403637i
\(325\) −15.0078 + 15.7397i −0.832481 + 0.873081i
\(326\) 1.88462 + 0.363231i 0.104380 + 0.0201175i
\(327\) 4.47889 2.30903i 0.247683 0.127690i
\(328\) −16.0356 + 13.8949i −0.885416 + 0.767217i
\(329\) −6.16423 + 21.1036i −0.339845 + 1.16348i
\(330\) 12.1583 + 3.57000i 0.669293 + 0.196522i
\(331\) 0.869532 + 18.2537i 0.0477938 + 1.00332i 0.887654 + 0.460512i \(0.152334\pi\)
−0.839860 + 0.542803i \(0.817363\pi\)
\(332\) 9.56092 3.82762i 0.524724 0.210068i
\(333\) 0.214090 + 2.24205i 0.0117321 + 0.122864i
\(334\) −5.03451 + 3.58506i −0.275476 + 0.196166i
\(335\) −27.8957 4.01079i −1.52410 0.219133i
\(336\) −3.09191 3.92028i −0.168678 0.213869i
\(337\) 7.72426 26.3064i 0.420767 1.43300i −0.427780 0.903883i \(-0.640704\pi\)
0.848547 0.529119i \(-0.177478\pi\)
\(338\) −7.87589 3.15303i −0.428392 0.171502i
\(339\) 0.549435 1.58749i 0.0298412 0.0862205i
\(340\) −0.505263 + 10.6068i −0.0274017 + 0.575233i
\(341\) −2.60592 7.52931i −0.141119 0.407735i
\(342\) 7.43762 2.18388i 0.402180 0.118091i
\(343\) 12.1874 + 13.9452i 0.658057 + 0.752969i
\(344\) 19.2474i 1.03775i
\(345\) 18.1652 0.955963i 0.977984 0.0514673i
\(346\) 14.9792 8.64824i 0.805287 0.464932i
\(347\) 9.61346 13.5002i 0.516077 0.724729i −0.471499 0.881866i \(-0.656287\pi\)
0.987577 + 0.157137i \(0.0502265\pi\)
\(348\) 7.01291 + 1.70131i 0.375931 + 0.0912000i
\(349\) −26.7021 23.1375i −1.42933 1.23852i −0.927639 0.373477i \(-0.878165\pi\)
−0.501692 0.865046i \(-0.667289\pi\)
\(350\) −24.5550 12.6151i −1.31252 0.674308i
\(351\) −1.51727 1.75102i −0.0809857 0.0934625i
\(352\) 4.52156 11.2943i 0.241000 0.601989i
\(353\) 5.76412 1.39836i 0.306793 0.0744272i −0.0794068 0.996842i \(-0.525303\pi\)
0.386200 + 0.922415i \(0.373787\pi\)
\(354\) −1.69963 0.876220i −0.0903343 0.0465706i
\(355\) 27.1053 + 21.3159i 1.43860 + 1.13133i
\(356\) 1.12018 2.45285i 0.0593694 0.130001i
\(357\) 7.31491 6.35651i 0.387146 0.336422i
\(358\) −1.33809 + 9.30660i −0.0707201 + 0.491869i
\(359\) −9.12397 + 0.434628i −0.481544 + 0.0229388i −0.286951 0.957945i \(-0.592642\pi\)
−0.194593 + 0.980884i \(0.562339\pi\)
\(360\) 2.74781 + 11.3266i 0.144822 + 0.596966i
\(361\) −23.2889 + 18.3146i −1.22573 + 0.963927i
\(362\) −10.9755 + 2.11535i −0.576859 + 0.111180i
\(363\) −1.06373 + 1.65519i −0.0558311 + 0.0868749i
\(364\) 0.438788 4.66480i 0.0229987 0.244502i
\(365\) −13.3180 45.3569i −0.697095 2.37409i
\(366\) −0.732634 + 7.67249i −0.0382954 + 0.401047i
\(367\) 6.96817 + 12.0692i 0.363736 + 0.630009i 0.988572 0.150747i \(-0.0481678\pi\)
−0.624837 + 0.780755i \(0.714835\pi\)
\(368\) −0.385628 + 9.04209i −0.0201023 + 0.471352i
\(369\) −5.97993 3.45251i −0.311303 0.179731i
\(370\) −8.63794 + 3.94482i −0.449065 + 0.205081i
\(371\) 21.7708 27.7644i 1.13028 1.44146i
\(372\) 1.32694 1.53138i 0.0687989 0.0793981i
\(373\) 4.73132 + 9.17747i 0.244978 + 0.475191i 0.978980 0.203956i \(-0.0653800\pi\)
−0.734002 + 0.679147i \(0.762350\pi\)
\(374\) −11.5638 4.00226i −0.597949 0.206952i
\(375\) 10.2848 + 13.0782i 0.531106 + 0.675357i
\(376\) 17.6208 + 18.4802i 0.908726 + 0.953044i
\(377\) −11.8264 18.4023i −0.609092 0.947766i
\(378\) 1.58654 2.47639i 0.0816031 0.127372i
\(379\) 11.4929 + 5.24863i 0.590350 + 0.269604i 0.688110 0.725606i \(-0.258441\pi\)
−0.0977602 + 0.995210i \(0.531168\pi\)
\(380\) −11.7267 16.4678i −0.601565 0.844779i
\(381\) 5.37888 + 13.4358i 0.275568 + 0.688337i
\(382\) −1.62719 + 3.15631i −0.0832544 + 0.161491i
\(383\) −17.5832 + 16.7655i −0.898458 + 0.856678i −0.990279 0.139097i \(-0.955580\pi\)
0.0918204 + 0.995776i \(0.470731\pi\)
\(384\) −1.09025 + 0.156754i −0.0556366 + 0.00799933i
\(385\) −20.7819 + 21.8571i −1.05914 + 1.11394i
\(386\) 10.6047 + 6.81520i 0.539763 + 0.346885i
\(387\) 5.91919 2.04865i 0.300889 0.104139i
\(388\) −2.30496 2.19778i −0.117017 0.111575i
\(389\) 7.87318 + 5.60647i 0.399186 + 0.284259i 0.761968 0.647615i \(-0.224233\pi\)
−0.362782 + 0.931874i \(0.618173\pi\)
\(390\) 4.88440 8.46002i 0.247331 0.428390i
\(391\) −17.5660 + 0.0874367i −0.888350 + 0.00442186i
\(392\) 21.1096 4.13042i 1.06620 0.208618i
\(393\) 1.38467 + 3.03200i 0.0698473 + 0.152944i
\(394\) −4.86275 + 20.0445i −0.244982 + 1.00983i
\(395\) −8.44023 + 43.7921i −0.424674 + 2.20342i
\(396\) 2.29454 + 0.109302i 0.115305 + 0.00549265i
\(397\) −3.21306 16.6710i −0.161259 0.836692i −0.968982 0.247130i \(-0.920513\pi\)
0.807723 0.589562i \(-0.200700\pi\)
\(398\) −1.66868 11.6059i −0.0836432 0.581751i
\(399\) −3.46605 + 18.1213i −0.173520 + 0.907198i
\(400\) −14.9015 + 9.57663i −0.745076 + 0.478831i
\(401\) −12.8798 + 16.3780i −0.643187 + 0.817879i −0.992897 0.118980i \(-0.962038\pi\)
0.349710 + 0.936858i \(0.386280\pi\)
\(402\) 8.22208 0.785113i 0.410080 0.0391579i
\(403\) −6.11451 + 0.583865i −0.304586 + 0.0290844i
\(404\) 3.59665 4.57352i 0.178940 0.227541i
\(405\) −3.19084 + 2.05063i −0.158554 + 0.101896i
\(406\) 18.1540 21.0107i 0.900966 1.04274i
\(407\) 0.963319 + 6.70003i 0.0477499 + 0.332108i
\(408\) −2.13007 11.0519i −0.105454 0.547148i
\(409\) −14.7381 0.702062i −0.728752 0.0347147i −0.320073 0.947393i \(-0.603707\pi\)
−0.408679 + 0.912678i \(0.634010\pi\)
\(410\) 5.50975 28.5873i 0.272107 1.41183i
\(411\) −4.38238 + 18.0644i −0.216167 + 0.891051i
\(412\) 0.934338 + 2.04591i 0.0460315 + 0.100795i
\(413\) 3.70361 2.64522i 0.182243 0.130163i
\(414\) −5.10758 + 1.52738i −0.251024 + 0.0750665i
\(415\) −25.5531 + 44.2593i −1.25435 + 2.17260i
\(416\) −7.63978 5.44027i −0.374571 0.266731i
\(417\) −0.0917078 0.0874432i −0.00449095 0.00428211i
\(418\) 22.0154 7.61962i 1.07681 0.372688i
\(419\) 27.2684 + 17.5243i 1.33215 + 0.856120i 0.996312 0.0858005i \(-0.0273448\pi\)
0.335836 + 0.941920i \(0.390981\pi\)
\(420\) −7.45661 1.79781i −0.363845 0.0877240i
\(421\) −29.0537 + 4.17729i −1.41599 + 0.203588i −0.807450 0.589936i \(-0.799153\pi\)
−0.608539 + 0.793524i \(0.708244\pi\)
\(422\) −5.96234 + 5.68508i −0.290242 + 0.276745i
\(423\) −3.80774 + 7.38598i −0.185139 + 0.359119i
\(424\) −15.2299 38.0423i −0.739627 1.84750i
\(425\) −19.9429 28.0059i −0.967374 1.35849i
\(426\) −9.19266 4.19815i −0.445386 0.203401i
\(427\) −15.4464 9.89598i −0.747502 0.478900i
\(428\) −3.80916 5.92717i −0.184123 0.286501i
\(429\) −4.80524 5.03959i −0.231999 0.243314i
\(430\) 16.3252 + 20.7592i 0.787271 + 1.00110i
\(431\) −15.1935 5.25851i −0.731844 0.253294i −0.0643693 0.997926i \(-0.520504\pi\)
−0.667475 + 0.744632i \(0.732625\pi\)
\(432\) −0.864729 1.67734i −0.0416043 0.0807010i
\(433\) −4.23802 + 4.89094i −0.203666 + 0.235044i −0.848389 0.529373i \(-0.822427\pi\)
0.644723 + 0.764416i \(0.276973\pi\)
\(434\) −2.90802 7.23425i −0.139589 0.347255i
\(435\) −32.5743 + 14.8762i −1.56182 + 0.713259i
\(436\) 3.33552 + 1.92576i 0.159743 + 0.0922274i
\(437\) 26.1848 20.8037i 1.25259 0.995176i
\(438\) 6.92698 + 11.9979i 0.330984 + 0.573281i
\(439\) 3.34223 35.0014i 0.159516 1.67052i −0.461815 0.886976i \(-0.652802\pi\)
0.621331 0.783548i \(-0.286592\pi\)
\(440\) 9.86868 + 33.6096i 0.470471 + 1.60228i
\(441\) 3.51711 + 6.05227i 0.167481 + 0.288203i
\(442\) −5.10019 + 7.93605i −0.242591 + 0.377479i
\(443\) −5.03023 + 0.969498i −0.238994 + 0.0460622i −0.307341 0.951599i \(-0.599439\pi\)
0.0683478 + 0.997662i \(0.478227\pi\)
\(444\) −1.35317 + 1.06414i −0.0642186 + 0.0505021i
\(445\) 3.15477 + 13.0041i 0.149550 + 0.616454i
\(446\) 5.57556 0.265597i 0.264011 0.0125764i
\(447\) −2.63532 + 18.3291i −0.124646 + 0.866935i
\(448\) 7.13059 20.6970i 0.336889 0.977841i
\(449\) −6.45459 + 14.1336i −0.304611 + 0.667005i −0.998595 0.0529852i \(-0.983126\pi\)
0.693984 + 0.719990i \(0.255854\pi\)
\(450\) −8.20175 6.44993i −0.386634 0.304052i
\(451\) −18.4455 9.50931i −0.868564 0.447776i
\(452\) 1.24780 0.302712i 0.0586915 0.0142384i
\(453\) −2.29117 + 5.72308i −0.107649 + 0.268894i
\(454\) 2.77867 + 3.20675i 0.130409 + 0.150500i
\(455\) 12.5980 + 19.5421i 0.590603 + 0.916149i
\(456\) 16.1942 + 14.0324i 0.758365 + 0.657127i
\(457\) −25.7792 6.25397i −1.20590 0.292548i −0.418055 0.908422i \(-0.637288\pi\)
−0.787845 + 0.615874i \(0.788803\pi\)
\(458\) −12.0385 + 16.9057i −0.562521 + 0.789951i
\(459\) 3.17208 1.83140i 0.148060 0.0854826i
\(460\) 8.12112 + 11.2852i 0.378649 + 0.526176i
\(461\) 2.70580i 0.126021i 0.998013 + 0.0630107i \(0.0200702\pi\)
−0.998013 + 0.0630107i \(0.979930\pi\)
\(462\) 4.40868 7.66102i 0.205110 0.356423i
\(463\) 31.3853 9.21555i 1.45860 0.428283i 0.546224 0.837639i \(-0.316065\pi\)
0.912375 + 0.409356i \(0.134247\pi\)
\(464\) −5.82733 16.8370i −0.270527 0.781637i
\(465\) −0.478453 + 10.0440i −0.0221877 + 0.465778i
\(466\) −10.0502 + 29.0383i −0.465569 + 1.34517i
\(467\) −9.13200 3.65590i −0.422579 0.169175i 0.150619 0.988592i \(-0.451873\pi\)
−0.573198 + 0.819417i \(0.694297\pi\)
\(468\) 0.498923 1.69918i 0.0230627 0.0785445i
\(469\) −7.28056 + 18.2607i −0.336185 + 0.843199i
\(470\) −34.6794 4.98615i −1.59964 0.229994i
\(471\) −0.157731 + 0.112320i −0.00726785 + 0.00517542i
\(472\) −0.502462 5.26202i −0.0231277 0.242204i
\(473\) 17.4765 6.99652i 0.803569 0.321700i
\(474\) −0.621913 13.0556i −0.0285654 0.599662i
\(475\) 62.8041 + 18.4409i 2.88165 + 0.846128i
\(476\) 7.10998 + 2.07678i 0.325885 + 0.0951889i
\(477\) 10.0782 8.73283i 0.461450 0.399849i
\(478\) 13.8644 7.14757i 0.634141 0.326922i
\(479\) −30.2954 5.83896i −1.38423 0.266789i −0.557870 0.829928i \(-0.688381\pi\)
−0.826362 + 0.563139i \(0.809593\pi\)
\(480\) −10.5953 + 11.1120i −0.483607 + 0.507192i
\(481\) 5.19468 + 0.496031i 0.236857 + 0.0226171i
\(482\) 30.4667 1.38772
\(483\) 2.32167 12.4744i 0.105640 0.567603i
\(484\) −1.50385 −0.0683568
\(485\) 15.7329 + 1.50231i 0.714393 + 0.0682163i
\(486\) 0.767095 0.804506i 0.0347961 0.0364931i
\(487\) −4.22986 0.815239i −0.191673 0.0369420i 0.0925111 0.995712i \(-0.470511\pi\)
−0.284184 + 0.958770i \(0.591723\pi\)
\(488\) −18.9373 + 9.76288i −0.857253 + 0.441945i
\(489\) −1.30488 + 1.13069i −0.0590089 + 0.0511315i
\(490\) −19.2644 + 22.3596i −0.870277 + 1.01010i
\(491\) 8.29670 + 2.43613i 0.374425 + 0.109941i 0.463530 0.886081i \(-0.346583\pi\)
−0.0891053 + 0.996022i \(0.528401\pi\)
\(492\) −0.251126 5.27178i −0.0113216 0.237670i
\(493\) 32.1045 12.8527i 1.44592 0.578857i
\(494\) −1.70720 17.8786i −0.0768106 0.804397i
\(495\) −9.28566 + 6.61229i −0.417359 + 0.297200i
\(496\) −4.95195 0.711983i −0.222349 0.0319690i
\(497\) 18.8861 14.8954i 0.847159 0.668151i
\(498\) 4.21971 14.3710i 0.189090 0.643981i
\(499\) 11.3971 + 4.56270i 0.510203 + 0.204254i 0.612457 0.790504i \(-0.290181\pi\)
−0.102254 + 0.994758i \(0.532606\pi\)
\(500\) −4.15929 + 12.0175i −0.186009 + 0.537438i
\(501\) 0.264556 5.55371i 0.0118195 0.248121i
\(502\) −2.85965 8.26241i −0.127632 0.368770i
\(503\) 14.0604 4.12850i 0.626921 0.184081i 0.0471865 0.998886i \(-0.484974\pi\)
0.579734 + 0.814805i \(0.303156\pi\)
\(504\) 8.12998 0.0114807i 0.362138 0.000511390i
\(505\) 28.8730i 1.28483i
\(506\) −15.1146 + 5.31559i −0.671924 + 0.236307i
\(507\) 6.60936 3.81592i 0.293532 0.169471i
\(508\) −6.41649 + 9.01071i −0.284686 + 0.399785i
\(509\) 20.2767 + 4.91907i 0.898748 + 0.218034i 0.658414 0.752656i \(-0.271228\pi\)
0.240335 + 0.970690i \(0.422743\pi\)
\(510\) 11.6713 + 10.1133i 0.516815 + 0.447823i
\(511\) −32.9345 + 1.61548i −1.45694 + 0.0714646i
\(512\) −12.5973 14.5381i −0.556729 0.642499i
\(513\) −2.59173 + 6.47384i −0.114428 + 0.285827i
\(514\) −1.45110 + 0.352032i −0.0640052 + 0.0155275i
\(515\) −9.92057 5.11441i −0.437153 0.225368i
\(516\) 3.76327 + 2.95947i 0.165669 + 0.130283i
\(517\) −10.3746 + 22.7173i −0.456275 + 0.999104i
\(518\) 1.26277 + 6.50245i 0.0554830 + 0.285701i
\(519\) −2.21441 + 15.4016i −0.0972018 + 0.676053i
\(520\) 26.9736 1.28491i 1.18287 0.0563471i
\(521\) −2.44328 10.0713i −0.107042 0.441233i 0.892918 0.450220i \(-0.148655\pi\)
−0.999960 + 0.00898686i \(0.997139\pi\)
\(522\) 8.24963 6.48758i 0.361076 0.283954i
\(523\) −20.6358 + 3.97722i −0.902340 + 0.173912i −0.619262 0.785185i \(-0.712568\pi\)
−0.283079 + 0.959097i \(0.591356\pi\)
\(524\) −1.37739 + 2.14326i −0.0601715 + 0.0936286i
\(525\) 22.5755 10.3485i 0.985278 0.451644i
\(526\) −5.11150 17.4082i −0.222872 0.759032i
\(527\) 0.923026 9.66636i 0.0402076 0.421073i
\(528\) −2.83578 4.91172i −0.123412 0.213755i
\(529\) −17.9368 + 14.3969i −0.779860 + 0.625953i
\(530\) 48.6928 + 28.1128i 2.11508 + 1.22114i
\(531\) 1.56476 0.714603i 0.0679049 0.0310111i
\(532\) −13.0843 + 5.25959i −0.567274 + 0.228032i
\(533\) −10.4768 + 12.0908i −0.453799 + 0.523712i
\(534\) −1.79701 3.48572i −0.0777644 0.150842i
\(535\) 33.0405 + 11.4354i 1.42846 + 0.494396i
\(536\) 14.1138 + 17.9471i 0.609623 + 0.775198i
\(537\) −5.83691 6.12157i −0.251881 0.264165i
\(538\) −6.39466 9.95028i −0.275693 0.428987i
\(539\) 11.4239 + 17.6660i 0.492060 + 0.760927i
\(540\) −2.63711 1.20433i −0.113483 0.0518259i
\(541\) −4.51618 6.34209i −0.194166 0.272668i 0.706003 0.708209i \(-0.250496\pi\)
−0.900169 + 0.435541i \(0.856557\pi\)
\(542\) −5.12132 12.7924i −0.219979 0.549482i
\(543\) 4.60759 8.93747i 0.197731 0.383544i
\(544\) 10.7307 10.2317i 0.460077 0.438682i
\(545\) −18.9184 + 2.72005i −0.810374 + 0.116514i
\(546\) −4.93827 4.69534i −0.211339 0.200942i
\(547\) −11.6396 7.48034i −0.497675 0.319836i 0.267611 0.963527i \(-0.413766\pi\)
−0.765286 + 0.643691i \(0.777402\pi\)
\(548\) −13.4263 + 4.64690i −0.573545 + 0.198506i
\(549\) −5.01806 4.78471i −0.214166 0.204206i
\(550\) −25.5440 18.1898i −1.08920 0.775617i
\(551\) −32.9188 + 57.0170i −1.40239 + 2.42901i
\(552\) −11.1853 9.59503i −0.476077 0.408392i
\(553\) 28.3160 + 12.8832i 1.20412 + 0.547849i
\(554\) 2.24193 + 4.90914i 0.0952504 + 0.208569i
\(555\) 2.01401 8.30188i 0.0854901 0.352395i
\(556\) 0.0183295 0.0951023i 0.000777343 0.00403324i
\(557\) −38.2385 1.82152i −1.62022 0.0771805i −0.782273 0.622936i \(-0.785940\pi\)
−0.837945 + 0.545755i \(0.816243\pi\)
\(558\) −0.557711 2.89368i −0.0236098 0.122499i
\(559\) −2.06535 14.3648i −0.0873549 0.607567i
\(560\) 6.21917 + 17.8873i 0.262808 + 0.755878i
\(561\) 9.26071 5.95150i 0.390987 0.251272i
\(562\) −15.5847 + 19.8176i −0.657402 + 0.835955i
\(563\) −11.7830 + 1.12514i −0.496595 + 0.0474191i −0.340349 0.940299i \(-0.610545\pi\)
−0.156246 + 0.987718i \(0.549939\pi\)
\(564\) −6.32266 + 0.603741i −0.266232 + 0.0254221i
\(565\) −3.93873 + 5.00850i −0.165704 + 0.210709i
\(566\) 10.8176 6.95207i 0.454699 0.292217i
\(567\) 0.868870 + 2.49901i 0.0364891 + 0.104949i
\(568\) −3.97573 27.6518i −0.166818 1.16024i
\(569\) −0.352448 1.82867i −0.0147754 0.0766619i 0.973793 0.227438i \(-0.0730349\pi\)
−0.988568 + 0.150776i \(0.951823\pi\)
\(570\) −29.3682 1.39898i −1.23010 0.0585968i
\(571\) 2.13011 11.0521i 0.0891423 0.462514i −0.909737 0.415185i \(-0.863717\pi\)
0.998879 0.0473293i \(-0.0150710\pi\)
\(572\) 1.25478 5.17228i 0.0524651 0.216264i
\(573\) −1.32706 2.90586i −0.0554387 0.121394i
\(574\) −18.4846 8.41010i −0.771532 0.351031i
\(575\) −43.2552 12.4674i −1.80387 0.519925i
\(576\) 4.13699 7.16547i 0.172374 0.298561i
\(577\) −18.9336 13.4825i −0.788215 0.561285i 0.113540 0.993533i \(-0.463781\pi\)
−0.901755 + 0.432248i \(0.857720\pi\)
\(578\) 2.88322 + 2.74915i 0.119926 + 0.114349i
\(579\) −10.7165 + 3.70901i −0.445361 + 0.154141i
\(580\) −23.0261 14.7980i −0.956108 0.614453i
\(581\) 25.8350 + 24.5640i 1.07181 + 1.01909i
\(582\) −4.58467 + 0.659177i −0.190041 + 0.0273238i
\(583\) 29.0060 27.6572i 1.20131 1.14544i
\(584\) −17.5487 + 34.0397i −0.726170 + 1.40857i
\(585\) 3.26617 + 8.15851i 0.135040 + 0.337313i
\(586\) −6.48657 9.10911i −0.267958 0.376294i
\(587\) 16.9145 + 7.72461i 0.698138 + 0.318829i 0.732679 0.680575i \(-0.238270\pi\)
−0.0345413 + 0.999403i \(0.510997\pi\)
\(588\) −2.43823 + 4.76248i −0.100551 + 0.196402i
\(589\) 9.99472 + 15.5521i 0.411825 + 0.640812i
\(590\) 5.00506 + 5.24916i 0.206055 + 0.216104i
\(591\) −11.4700 14.5853i −0.471813 0.599959i
\(592\) 4.01651 + 1.39013i 0.165077 + 0.0571338i
\(593\) −7.39723 14.3486i −0.303768 0.589227i 0.686705 0.726936i \(-0.259056\pi\)
−0.990473 + 0.137709i \(0.956026\pi\)
\(594\) 2.18777 2.52483i 0.0897655 0.103595i
\(595\) −34.1048 + 13.7094i −1.39816 + 0.562030i
\(596\) −12.8746 + 5.87963i −0.527364 + 0.240839i
\(597\) 9.13487 + 5.27402i 0.373865 + 0.215851i
\(598\) 1.23529 + 12.2898i 0.0505149 + 0.502567i
\(599\) 17.0680 + 29.5626i 0.697380 + 1.20790i 0.969372 + 0.245598i \(0.0789842\pi\)
−0.271992 + 0.962299i \(0.587682\pi\)
\(600\) 2.74173 28.7127i 0.111931 1.17219i
\(601\) 8.86859 + 30.2037i 0.361757 + 1.23203i 0.916508 + 0.400016i \(0.130995\pi\)
−0.554751 + 0.832017i \(0.687186\pi\)
\(602\) 16.7461 7.67630i 0.682521 0.312863i
\(603\) −4.01709 + 6.25071i −0.163588 + 0.254548i
\(604\) −4.62672 + 0.891727i −0.188259 + 0.0362839i
\(605\) 5.86611 4.61316i 0.238491 0.187552i
\(606\) −1.99495 8.22331i −0.0810394 0.334049i
\(607\) −10.8921 + 0.518853i −0.442095 + 0.0210596i −0.267450 0.963572i \(-0.586181\pi\)
−0.174645 + 0.984631i \(0.555878\pi\)
\(608\) −4.01725 + 27.9406i −0.162921 + 1.13314i
\(609\) 4.76201 + 24.5212i 0.192966 + 0.993651i
\(610\) 12.1441 26.5920i 0.491702 1.07668i
\(611\) 15.1339 + 11.9015i 0.612253 + 0.481481i
\(612\) 2.48840 + 1.28286i 0.100587 + 0.0518564i
\(613\) 18.1638 4.40649i 0.733629 0.177976i 0.148495 0.988913i \(-0.452557\pi\)
0.585134 + 0.810937i \(0.301042\pi\)
\(614\) −8.56389 + 21.3916i −0.345611 + 0.863294i
\(615\) 17.1511 + 19.7934i 0.691599 + 0.798148i
\(616\) 24.4046 1.19708i 0.983289 0.0482316i
\(617\) 13.5746 + 11.7624i 0.546492 + 0.473538i 0.883806 0.467854i \(-0.154973\pi\)
−0.337313 + 0.941392i \(0.609518\pi\)
\(618\) 3.17885 + 0.771181i 0.127872 + 0.0310214i
\(619\) 15.8096 22.2014i 0.635440 0.892351i −0.363794 0.931479i \(-0.618519\pi\)
0.999234 + 0.0391284i \(0.0124581\pi\)
\(620\) −6.65598 + 3.84283i −0.267311 + 0.154332i
\(621\) 1.76025 4.46111i 0.0706363 0.179018i
\(622\) 8.11283i 0.325295i
\(623\) 9.33404 0.0131810i 0.373961 0.000528085i
\(624\) −4.19522 + 1.23183i −0.167943 + 0.0493125i
\(625\) −5.29001 15.2845i −0.211600 0.611379i
\(626\) −0.146462 + 3.07462i −0.00585380 + 0.122886i
\(627\) −6.85461 + 19.8051i −0.273747 + 0.790940i
\(628\) −0.137401 0.0550070i −0.00548289 0.00219502i
\(629\) −2.32417 + 7.91539i −0.0926707 + 0.315607i
\(630\) −8.75883 + 6.90806i −0.348960 + 0.275224i
\(631\) −28.3088 4.07019i −1.12696 0.162032i −0.446474 0.894797i \(-0.647320\pi\)
−0.680482 + 0.732765i \(0.738229\pi\)
\(632\) 29.4314 20.9580i 1.17072 0.833663i
\(633\) −0.704477 7.37762i −0.0280005 0.293234i
\(634\) −22.0408 + 8.82381i −0.875352 + 0.350438i
\(635\) −2.61194 54.8313i −0.103652 2.17591i
\(636\) 9.77984 + 2.87162i 0.387796 + 0.113867i
\(637\) 15.3115 5.34782i 0.606662 0.211888i
\(638\) 23.8377 20.6555i 0.943742 0.817757i
\(639\) 8.08065 4.16587i 0.319666 0.164799i
\(640\) 4.10229 + 0.790652i 0.162157 + 0.0312533i
\(641\) −4.87481 + 5.11256i −0.192544 + 0.201934i −0.812928 0.582364i \(-0.802128\pi\)
0.620385 + 0.784298i \(0.286976\pi\)
\(642\) −10.2004 0.974017i −0.402576 0.0384414i
\(643\) 17.7359 0.699435 0.349717 0.936855i \(-0.386278\pi\)
0.349717 + 0.936855i \(0.386278\pi\)
\(644\) 8.98040 3.66196i 0.353877 0.144302i
\(645\) −23.7579 −0.935466
\(646\) 28.2641 + 2.69889i 1.11204 + 0.106187i
\(647\) 9.05696 9.49867i 0.356066 0.373431i −0.521201 0.853434i \(-0.674516\pi\)
0.877267 + 0.480003i \(0.159364\pi\)
\(648\) 3.01732 + 0.581540i 0.118531 + 0.0228451i
\(649\) 4.59523 2.36901i 0.180379 0.0929916i
\(650\) −18.2703 + 15.8313i −0.716619 + 0.620954i
\(651\) 6.73272 + 1.96658i 0.263876 + 0.0770764i
\(652\) −1.26625 0.371805i −0.0495902 0.0145610i
\(653\) −0.316153 6.63688i −0.0123720 0.259721i −0.996576 0.0826824i \(-0.973651\pi\)
0.984204 0.177039i \(-0.0566517\pi\)
\(654\) 5.20019 2.08184i 0.203344 0.0814065i
\(655\) −1.20177 12.5855i −0.0469570 0.491756i
\(656\) −10.6144 + 7.55850i −0.414424 + 0.295110i
\(657\) −12.3362 1.77367i −0.481280 0.0691976i
\(658\) −9.05107 + 22.7013i −0.352847 + 0.884990i
\(659\) −3.05361 + 10.3996i −0.118952 + 0.405112i −0.997345 0.0728271i \(-0.976798\pi\)
0.878393 + 0.477939i \(0.158616\pi\)
\(660\) −8.08882 3.23828i −0.314857 0.126050i
\(661\) 12.9378 37.3814i 0.503224 1.45397i −0.352143 0.935946i \(-0.614547\pi\)
0.855367 0.518023i \(-0.173332\pi\)
\(662\) −0.966576 + 20.2909i −0.0375670 + 0.788629i
\(663\) −2.77565 8.01972i −0.107797 0.311460i
\(664\) 39.7263 11.6647i 1.54168 0.452678i
\(665\) 34.9039 60.6530i 1.35352 2.35202i
\(666\) 2.50361i 0.0970130i
\(667\) 22.4440 39.3249i 0.869035 1.52267i
\(668\) 3.68036 2.12485i 0.142397 0.0822131i
\(669\) −2.91274 + 4.09037i −0.112613 + 0.158143i
\(670\) −30.4447 7.38582i −1.17618 0.285339i
\(671\) −15.7485 13.6461i −0.607962 0.526802i
\(672\) 5.80293 + 9.00156i 0.223853 + 0.347243i
\(673\) −7.59375 8.76365i −0.292718 0.337814i 0.590274 0.807203i \(-0.299020\pi\)
−0.882992 + 0.469389i \(0.844474\pi\)
\(674\) 11.3271 28.2937i 0.436304 1.08983i
\(675\) 9.12192 2.21295i 0.351103 0.0851766i
\(676\) 5.18483 + 2.67296i 0.199416 + 0.102806i
\(677\) −1.33844 1.05256i −0.0514403 0.0404531i 0.592108 0.805859i \(-0.298296\pi\)
−0.643548 + 0.765406i \(0.722538\pi\)
\(678\) 0.775730 1.69861i 0.0297917 0.0652348i
\(679\) 3.59097 10.4230i 0.137809 0.399999i
\(680\) −6.07551 + 42.2561i −0.232985 + 1.62045i
\(681\) −3.81281 + 0.181627i −0.146107 + 0.00695995i
\(682\) −2.08805 8.60708i −0.0799557 0.329582i
\(683\) −31.7924 + 25.0018i −1.21650 + 0.956668i −0.999808 0.0195715i \(-0.993770\pi\)
−0.216694 + 0.976240i \(0.569527\pi\)
\(684\) −5.23366 + 1.00871i −0.200114 + 0.0385688i
\(685\) 38.1178 59.3125i 1.45641 2.26621i
\(686\) 12.0127 + 16.7191i 0.458646 + 0.638338i
\(687\) −5.26003 17.9140i −0.200682 0.683462i
\(688\) 1.12359 11.7668i 0.0428366 0.448605i
\(689\) −15.4486 26.7577i −0.588545 1.01939i
\(690\) 20.2021 + 0.861584i 0.769082 + 0.0327999i
\(691\) 1.65258 + 0.954117i 0.0628671 + 0.0362963i 0.531104 0.847307i \(-0.321777\pi\)
−0.468237 + 0.883603i \(0.655111\pi\)
\(692\) −10.8183 + 4.94053i −0.411248 + 0.187811i
\(693\) 2.96572 + 7.37779i 0.112658 + 0.280259i
\(694\) 12.0645 13.9231i 0.457961 0.528515i
\(695\) 0.220234 + 0.427195i 0.00835397 + 0.0162044i
\(696\) 27.4161 + 9.48880i 1.03920 + 0.359672i
\(697\) −15.6343 19.8807i −0.592193 0.753034i
\(698\) −27.1030 28.4248i −1.02586 1.07589i
\(699\) −14.9450 23.2549i −0.565273 0.879583i
\(700\) 15.9830 + 10.2398i 0.604100 + 0.387027i
\(701\) −1.80796 0.825667i −0.0682856 0.0311850i 0.380979 0.924583i \(-0.375587\pi\)
−0.449265 + 0.893398i \(0.648314\pi\)
\(702\) −1.49394 2.09795i −0.0563852 0.0791820i
\(703\) −5.83723 14.5807i −0.220155 0.549922i
\(704\) 11.3946 22.1024i 0.429449 0.833015i
\(705\) 22.8110 21.7502i 0.859110 0.819160i
\(706\) 6.52617 0.938321i 0.245616 0.0353142i
\(707\) 19.5791 + 4.72058i 0.736349 + 0.177536i
\(708\) 1.10610 + 0.710846i 0.0415697 + 0.0267152i
\(709\) −23.8854 + 8.26682i −0.897035 + 0.310467i −0.736399 0.676547i \(-0.763476\pi\)
−0.160635 + 0.987014i \(0.551354\pi\)
\(710\) 27.7416 + 26.4516i 1.04113 + 0.992711i
\(711\) 9.57788 + 6.82037i 0.359198 + 0.255784i
\(712\) 5.42041 9.38843i 0.203138 0.351846i
\(713\) −6.92689 10.6614i −0.259414 0.399272i
\(714\) 8.76612 6.26100i 0.328064 0.234312i
\(715\) 10.9718 + 24.0248i 0.410320 + 0.898476i
\(716\) 1.52418 6.28275i 0.0569612 0.234797i
\(717\) −2.65563 + 13.7787i −0.0991761 + 0.514575i
\(718\) −10.1422 0.483134i −0.378505 0.0180304i
\(719\) 2.08994 + 10.8436i 0.0779416 + 0.404400i 0.999855 + 0.0170045i \(0.00541296\pi\)
−0.921914 + 0.387395i \(0.873375\pi\)
\(720\) 1.01866 + 7.08491i 0.0379631 + 0.264039i
\(721\) −5.09011 + 5.89109i −0.189565 + 0.219395i
\(722\) −27.7061 + 17.8056i −1.03111 + 0.662656i
\(723\) −16.9424 + 21.5440i −0.630095 + 0.801231i
\(724\) 7.65079 0.730562i 0.284339 0.0271511i
\(725\) 88.2197 8.42396i 3.27640 0.312858i
\(726\) −1.35198 + 1.71919i −0.0501768 + 0.0638050i
\(727\) −0.632322 + 0.406369i −0.0234515 + 0.0150714i −0.552314 0.833636i \(-0.686255\pi\)
0.528863 + 0.848707i \(0.322619\pi\)
\(728\) 3.53873 18.5012i 0.131154 0.685701i
\(729\) 0.142315 + 0.989821i 0.00527092 + 0.0366601i
\(730\) −9.94467 51.5979i −0.368069 1.90972i
\(731\) 22.9167 + 1.09166i 0.847604 + 0.0403764i
\(732\) 1.00295 5.20380i 0.0370701 0.192338i
\(733\) −3.04554 + 12.5539i −0.112489 + 0.463688i 0.887506 + 0.460795i \(0.152436\pi\)
−0.999996 + 0.00289236i \(0.999079\pi\)
\(734\) 6.43549 + 14.0917i 0.237538 + 0.520136i
\(735\) −5.09836 26.0566i −0.188056 0.961112i
\(736\) 2.66713 19.2293i 0.0983116 0.708800i
\(737\) −11.1654 + 19.3391i −0.411284 + 0.712365i
\(738\) −6.25241 4.45232i −0.230154 0.163892i
\(739\) −3.75635 3.58167i −0.138179 0.131754i 0.617838 0.786306i \(-0.288009\pi\)
−0.756017 + 0.654552i \(0.772857\pi\)
\(740\) 6.17036 2.13558i 0.226827 0.0785056i
\(741\) 13.5919 + 8.73501i 0.499312 + 0.320889i
\(742\) 27.0246 28.4229i 0.992106 1.04344i
\(743\) −2.28547 + 0.328600i −0.0838456 + 0.0120552i −0.184110 0.982906i \(-0.558940\pi\)
0.100264 + 0.994961i \(0.468031\pi\)
\(744\) 5.89576 5.62160i 0.216149 0.206098i
\(745\) 32.1841 62.4285i 1.17913 2.28720i
\(746\) 4.26580 + 10.6555i 0.156182 + 0.390124i
\(747\) 7.81567 + 10.9756i 0.285961 + 0.401575i
\(748\) 7.65362 + 3.49529i 0.279844 + 0.127801i
\(749\) 13.1564 20.5355i 0.480726 0.750352i
\(750\) 9.99899 + 15.5587i 0.365111 + 0.568124i
\(751\) −4.29340 4.50278i −0.156668 0.164309i 0.640722 0.767773i \(-0.278635\pi\)
−0.797390 + 0.603464i \(0.793787\pi\)
\(752\) 9.69363 + 12.3265i 0.353490 + 0.449500i
\(753\) 7.43287 + 2.57254i 0.270869 + 0.0937486i
\(754\) −11.1423 21.6131i −0.405779 0.787102i
\(755\) 15.3121 17.6712i 0.557266 0.643119i
\(756\) −1.24782 + 1.59135i −0.0453828 + 0.0578769i
\(757\) −16.3288 + 7.45711i −0.593480 + 0.271033i −0.689429 0.724353i \(-0.742139\pi\)
0.0959492 + 0.995386i \(0.469411\pi\)
\(758\) 12.1631 + 7.02237i 0.441784 + 0.255064i
\(759\) 4.64631 13.6440i 0.168651 0.495246i
\(760\) −40.6378 70.3868i −1.47409 2.55320i
\(761\) 0.776254 8.12930i 0.0281392 0.294687i −0.970438 0.241352i \(-0.922409\pi\)
0.998577 0.0533344i \(-0.0169849\pi\)
\(762\) 4.53242 + 15.4360i 0.164192 + 0.559188i
\(763\) −1.24855 + 13.2735i −0.0452006 + 0.480533i
\(764\) 1.32008 2.05409i 0.0477589 0.0743143i
\(765\) −13.6418 + 2.62924i −0.493220 + 0.0950604i
\(766\) −21.2286 + 16.6943i −0.767019 + 0.603190i
\(767\) −0.939644 3.87327i −0.0339286 0.139856i
\(768\) 15.3062 0.729124i 0.552315 0.0263100i
\(769\) 0.0406024 0.282396i 0.00146416 0.0101835i −0.989076 0.147405i \(-0.952908\pi\)
0.990540 + 0.137221i \(0.0438171\pi\)
\(770\) −25.3062 + 21.9906i −0.911970 + 0.792484i
\(771\) 0.558016 1.22188i 0.0200964 0.0440051i
\(772\) −6.81327 5.35801i −0.245215 0.192839i
\(773\) −20.9552 10.8032i −0.753707