Properties

Label 552.2.bb.a.13.4
Level $552$
Weight $2$
Character 552.13
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 13.4
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37160 + 0.344553i) q^{2} +(0.540641 - 0.841254i) q^{3} +(1.76257 - 0.945176i) q^{4} +(2.26933 + 1.03637i) q^{5} +(-0.451686 + 1.34014i) q^{6} +(-2.49497 - 0.732589i) q^{7} +(-2.09187 + 1.90370i) q^{8} +(-0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(-1.37160 + 0.344553i) q^{2} +(0.540641 - 0.841254i) q^{3} +(1.76257 - 0.945176i) q^{4} +(2.26933 + 1.03637i) q^{5} +(-0.451686 + 1.34014i) q^{6} +(-2.49497 - 0.732589i) q^{7} +(-2.09187 + 1.90370i) q^{8} +(-0.415415 - 0.909632i) q^{9} +(-3.46970 - 0.639578i) q^{10} +(-3.71536 - 3.21937i) q^{11} +(0.157783 - 1.99377i) q^{12} +(-1.81486 - 6.18084i) q^{13} +(3.67451 + 0.145170i) q^{14} +(2.09874 - 1.34878i) q^{15} +(2.21328 - 3.33187i) q^{16} +(0.253473 + 1.76294i) q^{17} +(0.883199 + 1.10452i) q^{18} +(-2.93640 - 0.422191i) q^{19} +(4.97940 - 0.318249i) q^{20} +(-1.96517 + 1.70283i) q^{21} +(6.20522 + 3.13555i) q^{22} +(1.87931 - 4.41228i) q^{23} +(0.470543 + 2.78901i) q^{24} +(0.801505 + 0.924986i) q^{25} +(4.61889 + 7.85233i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(-5.08997 + 1.06695i) q^{28} +(8.21491 - 1.18113i) q^{29} +(-2.41391 + 2.57311i) q^{30} +(-7.54861 + 4.85119i) q^{31} +(-1.88773 + 5.33259i) q^{32} +(-4.71698 + 1.38503i) q^{33} +(-0.955090 - 2.33071i) q^{34} +(-4.90268 - 4.24820i) q^{35} +(-1.59196 - 1.21065i) q^{36} +(6.44490 - 2.94329i) q^{37} +(4.17303 - 0.432669i) q^{38} +(-6.18084 - 1.81486i) q^{39} +(-6.72009 + 2.15218i) q^{40} +(-1.79665 + 3.93411i) q^{41} +(2.10872 - 3.01271i) q^{42} +(2.68440 - 4.17701i) q^{43} +(-9.59144 - 2.16270i) q^{44} -2.49478i q^{45} +(-1.05740 + 6.69940i) q^{46} +8.53380 q^{47} +(-1.60636 - 3.66328i) q^{48} +(-0.200594 - 0.128914i) q^{49} +(-1.41805 - 0.992549i) q^{50} +(1.62012 + 0.739884i) q^{51} +(-9.04080 - 9.17879i) q^{52} +(1.11051 - 3.78203i) q^{53} +(1.40667 - 0.145847i) q^{54} +(-5.09492 - 11.1563i) q^{55} +(6.61378 - 3.21719i) q^{56} +(-1.94271 + 2.24201i) q^{57} +(-10.8606 + 4.45050i) q^{58} +(4.07872 + 13.8908i) q^{59} +(2.42434 - 4.36100i) q^{60} +(-5.74932 - 8.94611i) q^{61} +(8.68217 - 9.25479i) q^{62} +(0.370061 + 2.57383i) q^{63} +(0.751854 - 7.96459i) q^{64} +(2.28712 - 15.9073i) q^{65} +(5.99259 - 3.52496i) q^{66} +(7.32397 - 6.34625i) q^{67} +(2.11305 + 2.86773i) q^{68} +(-2.69581 - 3.96644i) q^{69} +(8.18824 + 4.13759i) q^{70} +(-3.72958 - 4.30416i) q^{71} +(2.60066 + 1.11201i) q^{72} +(-1.02497 + 7.12881i) q^{73} +(-7.82570 + 6.25762i) q^{74} +(1.21147 - 0.174184i) q^{75} +(-5.57465 + 2.03128i) q^{76} +(6.91122 + 10.7541i) q^{77} +(9.10295 + 0.359633i) q^{78} +(0.901525 - 0.264712i) q^{79} +(8.47573 - 5.26735i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(1.10877 - 6.01506i) q^{82} +(-5.74905 + 2.62550i) q^{83} +(-1.85427 + 4.85879i) q^{84} +(-1.25185 + 4.26339i) q^{85} +(-2.24272 + 6.65410i) q^{86} +(3.44769 - 7.54938i) q^{87} +(13.9008 - 0.338405i) q^{88} +(-1.07103 - 0.688312i) q^{89} +(0.859584 + 3.42184i) q^{90} +16.7506i q^{91} +(-0.857962 - 9.55321i) q^{92} +8.97304i q^{93} +(-11.7049 + 2.94034i) q^{94} +(-6.22613 - 4.00129i) q^{95} +(3.46547 + 4.47107i) q^{96} +(-3.10826 + 6.80614i) q^{97} +(0.319552 + 0.107703i) q^{98} +(-1.38503 + 4.71698i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{7}{11}\right)\) \(1\) \(-1\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37160 + 0.344553i −0.969867 + 0.243636i
\(3\) 0.540641 0.841254i 0.312139 0.485698i
\(4\) 1.76257 0.945176i 0.881283 0.472588i
\(5\) 2.26933 + 1.03637i 1.01488 + 0.463479i 0.852208 0.523202i \(-0.175263\pi\)
0.162668 + 0.986681i \(0.447990\pi\)
\(6\) −0.451686 + 1.34014i −0.184400 + 0.547111i
\(7\) −2.49497 0.732589i −0.943009 0.276893i −0.226136 0.974096i \(-0.572609\pi\)
−0.716874 + 0.697203i \(0.754428\pi\)
\(8\) −2.09187 + 1.90370i −0.739588 + 0.673060i
\(9\) −0.415415 0.909632i −0.138472 0.303211i
\(10\) −3.46970 0.639578i −1.09721 0.202252i
\(11\) −3.71536 3.21937i −1.12022 0.970678i −0.120465 0.992718i \(-0.538439\pi\)
−0.999757 + 0.0220398i \(0.992984\pi\)
\(12\) 0.157783 1.99377i 0.0455480 0.575551i
\(13\) −1.81486 6.18084i −0.503352 1.71426i −0.682903 0.730509i \(-0.739283\pi\)
0.179551 0.983749i \(-0.442535\pi\)
\(14\) 3.67451 + 0.145170i 0.982054 + 0.0387983i
\(15\) 2.09874 1.34878i 0.541893 0.348254i
\(16\) 2.21328 3.33187i 0.553321 0.832968i
\(17\) 0.253473 + 1.76294i 0.0614762 + 0.427576i 0.997196 + 0.0748325i \(0.0238422\pi\)
−0.935720 + 0.352744i \(0.885249\pi\)
\(18\) 0.883199 + 1.10452i 0.208172 + 0.260337i
\(19\) −2.93640 0.422191i −0.673657 0.0968572i −0.203007 0.979177i \(-0.565071\pi\)
−0.470650 + 0.882320i \(0.655981\pi\)
\(20\) 4.97940 0.318249i 1.11343 0.0711626i
\(21\) −1.96517 + 1.70283i −0.428836 + 0.371589i
\(22\) 6.20522 + 3.13555i 1.32296 + 0.668502i
\(23\) 1.87931 4.41228i 0.391864 0.920023i
\(24\) 0.470543 + 2.78901i 0.0960492 + 0.569305i
\(25\) 0.801505 + 0.924986i 0.160301 + 0.184997i
\(26\) 4.61889 + 7.85233i 0.905838 + 1.53997i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) −5.08997 + 1.06695i −0.961915 + 0.201634i
\(29\) 8.21491 1.18113i 1.52547 0.219329i 0.672031 0.740523i \(-0.265422\pi\)
0.853439 + 0.521193i \(0.174513\pi\)
\(30\) −2.41391 + 2.57311i −0.440717 + 0.469784i
\(31\) −7.54861 + 4.85119i −1.35577 + 0.871300i −0.998043 0.0625263i \(-0.980084\pi\)
−0.357726 + 0.933826i \(0.616448\pi\)
\(32\) −1.88773 + 5.33259i −0.333707 + 0.942677i
\(33\) −4.71698 + 1.38503i −0.821121 + 0.241103i
\(34\) −0.955090 2.33071i −0.163797 0.399714i
\(35\) −4.90268 4.24820i −0.828704 0.718076i
\(36\) −1.59196 1.21065i −0.265327 0.201774i
\(37\) 6.44490 2.94329i 1.05953 0.483873i 0.192075 0.981380i \(-0.438478\pi\)
0.867460 + 0.497507i \(0.165751\pi\)
\(38\) 4.17303 0.432669i 0.676955 0.0701882i
\(39\) −6.18084 1.81486i −0.989727 0.290610i
\(40\) −6.72009 + 2.15218i −1.06254 + 0.340289i
\(41\) −1.79665 + 3.93411i −0.280589 + 0.614405i −0.996482 0.0838053i \(-0.973293\pi\)
0.715893 + 0.698210i \(0.246020\pi\)
\(42\) 2.10872 3.01271i 0.325382 0.464871i
\(43\) 2.68440 4.17701i 0.409367 0.636988i −0.573949 0.818891i \(-0.694589\pi\)
0.983316 + 0.181903i \(0.0582257\pi\)
\(44\) −9.59144 2.16270i −1.44596 0.326039i
\(45\) 2.49478i 0.371900i
\(46\) −1.05740 + 6.69940i −0.155906 + 0.987772i
\(47\) 8.53380 1.24478 0.622391 0.782706i \(-0.286161\pi\)
0.622391 + 0.782706i \(0.286161\pi\)
\(48\) −1.60636 3.66328i −0.231858 0.528749i
\(49\) −0.200594 0.128914i −0.0286563 0.0184163i
\(50\) −1.41805 0.992549i −0.200543 0.140368i
\(51\) 1.62012 + 0.739884i 0.226862 + 0.103604i
\(52\) −9.04080 9.17879i −1.25373 1.27287i
\(53\) 1.11051 3.78203i 0.152540 0.519502i −0.847395 0.530964i \(-0.821830\pi\)
0.999934 + 0.0114611i \(0.00364827\pi\)
\(54\) 1.40667 0.145847i 0.191424 0.0198472i
\(55\) −5.09492 11.1563i −0.686998 1.50432i
\(56\) 6.61378 3.21719i 0.883804 0.429915i
\(57\) −1.94271 + 2.24201i −0.257318 + 0.296961i
\(58\) −10.8606 + 4.45050i −1.42607 + 0.584379i
\(59\) 4.07872 + 13.8908i 0.531004 + 1.80843i 0.586468 + 0.809973i \(0.300518\pi\)
−0.0554637 + 0.998461i \(0.517664\pi\)
\(60\) 2.42434 4.36100i 0.312981 0.563002i
\(61\) −5.74932 8.94611i −0.736125 1.14543i −0.984263 0.176708i \(-0.943455\pi\)
0.248139 0.968724i \(-0.420181\pi\)
\(62\) 8.68217 9.25479i 1.10264 1.17536i
\(63\) 0.370061 + 2.57383i 0.0466233 + 0.324272i
\(64\) 0.751854 7.96459i 0.0939817 0.995574i
\(65\) 2.28712 15.9073i 0.283682 1.97305i
\(66\) 5.99259 3.52496i 0.737637 0.433892i
\(67\) 7.32397 6.34625i 0.894765 0.775318i −0.0804081 0.996762i \(-0.525622\pi\)
0.975173 + 0.221444i \(0.0710769\pi\)
\(68\) 2.11305 + 2.86773i 0.256245 + 0.347763i
\(69\) −2.69581 3.96644i −0.324537 0.477503i
\(70\) 8.18824 + 4.13759i 0.978682 + 0.494537i
\(71\) −3.72958 4.30416i −0.442620 0.510810i 0.489975 0.871737i \(-0.337006\pi\)
−0.932594 + 0.360926i \(0.882461\pi\)
\(72\) 2.60066 + 1.11201i 0.306491 + 0.131051i
\(73\) −1.02497 + 7.12881i −0.119964 + 0.834365i 0.837629 + 0.546239i \(0.183941\pi\)
−0.957593 + 0.288125i \(0.906968\pi\)
\(74\) −7.82570 + 6.25762i −0.909719 + 0.727433i
\(75\) 1.21147 0.174184i 0.139889 0.0201130i
\(76\) −5.57465 + 2.03128i −0.639456 + 0.233004i
\(77\) 6.91122 + 10.7541i 0.787606 + 1.22554i
\(78\) 9.10295 + 0.359633i 1.03071 + 0.0407204i
\(79\) 0.901525 0.264712i 0.101429 0.0297824i −0.230624 0.973043i \(-0.574077\pi\)
0.332053 + 0.943261i \(0.392259\pi\)
\(80\) 8.47573 5.26735i 0.947615 0.588907i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) 1.10877 6.01506i 0.122443 0.664252i
\(83\) −5.74905 + 2.62550i −0.631040 + 0.288186i −0.705144 0.709064i \(-0.749118\pi\)
0.0741040 + 0.997251i \(0.476390\pi\)
\(84\) −1.85427 + 4.85879i −0.202318 + 0.530138i
\(85\) −1.25185 + 4.26339i −0.135782 + 0.462430i
\(86\) −2.24272 + 6.65410i −0.241839 + 0.717530i
\(87\) 3.44769 7.54938i 0.369631 0.809379i
\(88\) 13.9008 0.338405i 1.48183 0.0360741i
\(89\) −1.07103 0.688312i −0.113529 0.0729609i 0.482644 0.875817i \(-0.339677\pi\)
−0.596173 + 0.802856i \(0.703313\pi\)
\(90\) 0.859584 + 3.42184i 0.0906081 + 0.360693i
\(91\) 16.7506i 1.75594i
\(92\) −0.857962 9.55321i −0.0894487 0.995991i
\(93\) 8.97304i 0.930461i
\(94\) −11.7049 + 2.94034i −1.20727 + 0.303273i
\(95\) −6.22613 4.00129i −0.638787 0.410524i
\(96\) 3.46547 + 4.47107i 0.353693 + 0.456327i
\(97\) −3.10826 + 6.80614i −0.315596 + 0.691059i −0.999249 0.0387485i \(-0.987663\pi\)
0.683653 + 0.729807i \(0.260390\pi\)
\(98\) 0.319552 + 0.107703i 0.0322796 + 0.0108796i
\(99\) −1.38503 + 4.71698i −0.139201 + 0.474075i
\(100\) 2.28698 + 0.872787i 0.228698 + 0.0872787i
\(101\) −10.6491 + 4.86327i −1.05962 + 0.483913i −0.867490 0.497455i \(-0.834268\pi\)
−0.192133 + 0.981369i \(0.561541\pi\)
\(102\) −2.47708 0.456607i −0.245268 0.0452108i
\(103\) 2.31960 2.67696i 0.228557 0.263769i −0.629875 0.776697i \(-0.716894\pi\)
0.858432 + 0.512928i \(0.171439\pi\)
\(104\) 15.5629 + 9.47459i 1.52607 + 0.929060i
\(105\) −6.22440 + 1.82765i −0.607439 + 0.178360i
\(106\) −0.220058 + 5.57006i −0.0213739 + 0.541012i
\(107\) −10.0446 15.6297i −0.971045 1.51098i −0.855584 0.517664i \(-0.826802\pi\)
−0.115461 0.993312i \(-0.536835\pi\)
\(108\) −1.87914 + 0.684716i −0.180820 + 0.0658869i
\(109\) 7.46777 1.07370i 0.715283 0.102842i 0.224941 0.974372i \(-0.427781\pi\)
0.490342 + 0.871530i \(0.336872\pi\)
\(110\) 10.8321 + 13.5465i 1.03280 + 1.29161i
\(111\) 1.00833 7.01305i 0.0957060 0.665650i
\(112\) −7.96297 + 6.69149i −0.752430 + 0.632286i
\(113\) 7.98575 + 9.21604i 0.751236 + 0.866972i 0.994687 0.102941i \(-0.0328252\pi\)
−0.243452 + 0.969913i \(0.578280\pi\)
\(114\) 1.89213 3.74450i 0.177214 0.350704i
\(115\) 8.83754 8.06526i 0.824105 0.752089i
\(116\) 13.3630 9.84635i 1.24072 0.914210i
\(117\) −4.86837 + 4.21847i −0.450081 + 0.389998i
\(118\) −10.3805 17.6473i −0.955602 1.62457i
\(119\) 0.659105 4.58418i 0.0604201 0.420231i
\(120\) −1.82263 + 6.81685i −0.166382 + 0.622291i
\(121\) 1.87404 + 13.0342i 0.170367 + 1.18493i
\(122\) 10.9682 + 10.2895i 0.993011 + 0.931571i
\(123\) 2.33824 + 3.63838i 0.210832 + 0.328061i
\(124\) −8.71969 + 15.6853i −0.783051 + 1.40858i
\(125\) −2.65405 9.03887i −0.237386 0.808461i
\(126\) −1.39440 3.40276i −0.124223 0.303142i
\(127\) 0.500748 0.577895i 0.0444342 0.0512798i −0.733097 0.680124i \(-0.761926\pi\)
0.777532 + 0.628844i \(0.216472\pi\)
\(128\) 1.71298 + 11.1833i 0.151407 + 0.988471i
\(129\) −2.06263 4.51652i −0.181604 0.397658i
\(130\) 2.34388 + 22.6064i 0.205572 + 1.98271i
\(131\) −1.78108 + 6.06579i −0.155614 + 0.529971i −0.999983 0.00578998i \(-0.998157\pi\)
0.844370 + 0.535761i \(0.179975\pi\)
\(132\) −7.00490 + 6.89959i −0.609698 + 0.600532i
\(133\) 7.01694 + 3.20453i 0.608446 + 0.277868i
\(134\) −7.85893 + 11.2280i −0.678908 + 0.969952i
\(135\) −2.09874 1.34878i −0.180631 0.116085i
\(136\) −3.88635 3.20531i −0.333251 0.274853i
\(137\) −1.06203 −0.0907357 −0.0453678 0.998970i \(-0.514446\pi\)
−0.0453678 + 0.998970i \(0.514446\pi\)
\(138\) 5.06421 + 4.51151i 0.431095 + 0.384045i
\(139\) 8.91669i 0.756304i 0.925744 + 0.378152i \(0.123440\pi\)
−0.925744 + 0.378152i \(0.876560\pi\)
\(140\) −12.6566 2.85383i −1.06968 0.241193i
\(141\) 4.61372 7.17909i 0.388545 0.604588i
\(142\) 6.59850 + 4.61855i 0.553734 + 0.387580i
\(143\) −13.1556 + 28.8068i −1.10013 + 2.40894i
\(144\) −3.95021 0.629164i −0.329184 0.0524303i
\(145\) 19.8664 + 5.83331i 1.64982 + 0.484430i
\(146\) −1.05041 10.1310i −0.0869323 0.838450i
\(147\) −0.216898 + 0.0990542i −0.0178895 + 0.00816985i
\(148\) 8.57764 11.2793i 0.705078 0.927153i
\(149\) 9.19730 + 7.96951i 0.753472 + 0.652887i 0.944431 0.328711i \(-0.106614\pi\)
−0.190958 + 0.981598i \(0.561160\pi\)
\(150\) −1.60164 + 0.656327i −0.130773 + 0.0535889i
\(151\) 16.3136 4.79011i 1.32758 0.389813i 0.460359 0.887733i \(-0.347721\pi\)
0.867223 + 0.497919i \(0.165902\pi\)
\(152\) 6.94630 4.70686i 0.563419 0.381777i
\(153\) 1.49833 0.962920i 0.121133 0.0778474i
\(154\) −13.1848 12.3690i −1.06246 0.996721i
\(155\) −22.1579 + 3.18583i −1.77977 + 0.255892i
\(156\) −12.6095 + 2.64318i −1.00957 + 0.211623i
\(157\) 22.2349 + 3.19690i 1.77454 + 0.255140i 0.950352 0.311177i \(-0.100723\pi\)
0.824187 + 0.566317i \(0.191632\pi\)
\(158\) −1.14532 + 0.673701i −0.0911171 + 0.0535968i
\(159\) −2.58127 2.97894i −0.204708 0.236245i
\(160\) −9.81042 + 10.1450i −0.775582 + 0.802034i
\(161\) −7.92121 + 9.63172i −0.624279 + 0.759086i
\(162\) 0.637811 1.26222i 0.0501111 0.0991693i
\(163\) 5.53347 4.79478i 0.433415 0.375556i −0.410654 0.911791i \(-0.634699\pi\)
0.844069 + 0.536235i \(0.180154\pi\)
\(164\) 0.551715 + 8.63228i 0.0430817 + 0.674068i
\(165\) −12.1398 1.74544i −0.945083 0.135882i
\(166\) 6.98076 5.58198i 0.541812 0.433246i
\(167\) −1.01076 7.02997i −0.0782147 0.543995i −0.990824 0.135162i \(-0.956845\pi\)
0.912609 0.408834i \(-0.134064\pi\)
\(168\) 0.869209 7.30321i 0.0670609 0.563455i
\(169\) −23.9728 + 15.4064i −1.84406 + 1.18511i
\(170\) 0.248066 6.27899i 0.0190258 0.481577i
\(171\) 0.835787 + 2.84643i 0.0639142 + 0.217672i
\(172\) 0.783426 9.89949i 0.0597357 0.754829i
\(173\) −11.5461 10.0048i −0.877837 0.760650i 0.0941816 0.995555i \(-0.469977\pi\)
−0.972018 + 0.234905i \(0.924522\pi\)
\(174\) −2.12768 + 11.5426i −0.161299 + 0.875045i
\(175\) −1.32210 2.89499i −0.0999410 0.218840i
\(176\) −18.9497 + 5.25370i −1.42839 + 0.396013i
\(177\) 13.8908 + 4.07872i 1.04410 + 0.306575i
\(178\) 1.70619 + 0.575060i 0.127884 + 0.0431026i
\(179\) 18.6525 + 8.51832i 1.39416 + 0.636689i 0.963960 0.266047i \(-0.0857175\pi\)
0.430195 + 0.902736i \(0.358445\pi\)
\(180\) −2.35801 4.39722i −0.175756 0.327749i
\(181\) −1.26051 + 1.96139i −0.0936927 + 0.145789i −0.884936 0.465713i \(-0.845798\pi\)
0.791243 + 0.611502i \(0.209434\pi\)
\(182\) −5.77145 22.9750i −0.427808 1.70302i
\(183\) −10.6343 −0.786107
\(184\) 4.46837 + 12.8076i 0.329412 + 0.944186i
\(185\) 17.6760 1.29956
\(186\) −3.09169 12.3074i −0.226693 0.902424i
\(187\) 4.73383 7.36598i 0.346172 0.538654i
\(188\) 15.0414 8.06594i 1.09701 0.588269i
\(189\) 2.36531 + 1.08020i 0.172051 + 0.0785732i
\(190\) 9.91840 + 3.34293i 0.719557 + 0.242522i
\(191\) −11.1346 3.26942i −0.805673 0.236567i −0.147137 0.989116i \(-0.547006\pi\)
−0.658536 + 0.752549i \(0.728824\pi\)
\(192\) −6.29376 4.93848i −0.454213 0.356404i
\(193\) −4.41382 9.66493i −0.317714 0.695697i 0.681638 0.731690i \(-0.261268\pi\)
−0.999352 + 0.0359929i \(0.988541\pi\)
\(194\) 1.91821 10.4063i 0.137720 0.747125i
\(195\) −12.1455 10.5242i −0.869759 0.753651i
\(196\) −0.475406 0.0376227i −0.0339576 0.00268734i
\(197\) 5.00416 + 17.0426i 0.356531 + 1.21423i 0.921257 + 0.388955i \(0.127164\pi\)
−0.564725 + 0.825279i \(0.691018\pi\)
\(198\) 0.274458 6.94702i 0.0195049 0.493704i
\(199\) 7.18828 4.61962i 0.509563 0.327476i −0.260468 0.965482i \(-0.583877\pi\)
0.770031 + 0.638006i \(0.220241\pi\)
\(200\) −3.43754 0.409127i −0.243071 0.0289297i
\(201\) −1.37917 9.59236i −0.0972794 0.676593i
\(202\) 12.9306 10.3396i 0.909794 0.727493i
\(203\) −21.3612 3.07128i −1.49926 0.215561i
\(204\) 3.55489 0.227204i 0.248892 0.0159074i
\(205\) −8.15438 + 7.06581i −0.569527 + 0.493498i
\(206\) −2.25920 + 4.47094i −0.157406 + 0.311505i
\(207\) −4.79424 + 0.123441i −0.333223 + 0.00857978i
\(208\) −24.6106 7.63308i −1.70644 0.529259i
\(209\) 9.55059 + 11.0220i 0.660628 + 0.762405i
\(210\) 7.90766 4.65143i 0.545680 0.320979i
\(211\) −0.978058 0.140624i −0.0673323 0.00968093i 0.108566 0.994089i \(-0.465374\pi\)
−0.175899 + 0.984408i \(0.556283\pi\)
\(212\) −1.61735 7.71571i −0.111080 0.529917i
\(213\) −5.63726 + 0.810515i −0.386258 + 0.0555356i
\(214\) 19.1624 + 17.9767i 1.30991 + 1.22886i
\(215\) 10.4207 6.69699i 0.710687 0.456731i
\(216\) 2.34150 1.58662i 0.159319 0.107956i
\(217\) 22.3875 6.57355i 1.51976 0.446242i
\(218\) −9.87284 + 4.04573i −0.668673 + 0.274012i
\(219\) 5.44300 + 4.71639i 0.367804 + 0.318704i
\(220\) −19.5248 14.8482i −1.31636 1.00106i
\(221\) 10.4365 4.76617i 0.702032 0.320607i
\(222\) 1.03335 + 9.96652i 0.0693539 + 0.668909i
\(223\) 14.3379 + 4.20999i 0.960137 + 0.281922i 0.724001 0.689799i \(-0.242301\pi\)
0.236135 + 0.971720i \(0.424119\pi\)
\(224\) 8.61642 11.9217i 0.575709 0.796552i
\(225\) 0.508440 1.11333i 0.0338960 0.0742219i
\(226\) −14.1287 9.88920i −0.939824 0.657820i
\(227\) 10.2597 15.9644i 0.680960 1.05959i −0.312990 0.949756i \(-0.601331\pi\)
0.993950 0.109837i \(-0.0350330\pi\)
\(228\) −1.30506 + 5.78789i −0.0864300 + 0.383312i
\(229\) 0.817962i 0.0540525i −0.999635 0.0270262i \(-0.991396\pi\)
0.999635 0.0270262i \(-0.00860377\pi\)
\(230\) −9.34265 + 14.1073i −0.616036 + 0.930208i
\(231\) 12.7834 0.841085
\(232\) −14.9360 + 18.1095i −0.980598 + 1.18895i
\(233\) −2.28765 1.47019i −0.149869 0.0963151i 0.463557 0.886067i \(-0.346573\pi\)
−0.613426 + 0.789752i \(0.710209\pi\)
\(234\) 5.22397 7.46346i 0.341502 0.487902i
\(235\) 19.3660 + 8.84417i 1.26330 + 0.576930i
\(236\) 20.3183 + 20.6284i 1.32261 + 1.34280i
\(237\) 0.264712 0.901525i 0.0171949 0.0585603i
\(238\) 0.675463 + 6.51475i 0.0437837 + 0.422288i
\(239\) 1.95146 + 4.27309i 0.126229 + 0.276403i 0.962187 0.272391i \(-0.0878144\pi\)
−0.835958 + 0.548794i \(0.815087\pi\)
\(240\) 0.151150 9.97798i 0.00975669 0.644076i
\(241\) 1.06439 1.22837i 0.0685631 0.0791260i −0.720432 0.693526i \(-0.756056\pi\)
0.788995 + 0.614400i \(0.210602\pi\)
\(242\) −7.06140 17.2320i −0.453924 1.10771i
\(243\) 0.281733 + 0.959493i 0.0180732 + 0.0615515i
\(244\) −18.5892 10.3340i −1.19005 0.661567i
\(245\) −0.321612 0.500438i −0.0205470 0.0319718i
\(246\) −4.46074 4.18475i −0.284407 0.266810i
\(247\) 2.71966 + 18.9157i 0.173048 + 1.20357i
\(248\) 6.55550 24.5184i 0.416274 1.55692i
\(249\) −0.899457 + 6.25586i −0.0570008 + 0.396449i
\(250\) 6.75466 + 11.4832i 0.427202 + 0.726264i
\(251\) 3.66156 3.17276i 0.231116 0.200263i −0.531602 0.846994i \(-0.678410\pi\)
0.762718 + 0.646731i \(0.223864\pi\)
\(252\) 3.08498 + 4.18678i 0.194336 + 0.263742i
\(253\) −21.1871 + 10.3430i −1.33202 + 0.650256i
\(254\) −0.487711 + 0.965174i −0.0306017 + 0.0605604i
\(255\) 2.90980 + 3.35808i 0.182219 + 0.210291i
\(256\) −6.20275 14.7488i −0.387672 0.921797i
\(257\) −0.351940 + 2.44779i −0.0219534 + 0.152689i −0.997850 0.0655463i \(-0.979121\pi\)
0.975896 + 0.218235i \(0.0700301\pi\)
\(258\) 4.38528 + 5.48417i 0.273015 + 0.341430i
\(259\) −18.2360 + 2.62195i −1.13313 + 0.162920i
\(260\) −11.0040 30.1993i −0.682437 1.87288i
\(261\) −4.48698 6.98188i −0.277737 0.432168i
\(262\) 0.352939 8.93351i 0.0218046 0.551914i
\(263\) 5.90435 1.73367i 0.364078 0.106903i −0.0945768 0.995518i \(-0.530150\pi\)
0.458654 + 0.888615i \(0.348332\pi\)
\(264\) 7.23064 11.8770i 0.445015 0.730980i
\(265\) 6.43969 7.43180i 0.395587 0.456532i
\(266\) −10.7286 1.97762i −0.657810 0.121256i
\(267\) −1.15809 + 0.528882i −0.0708739 + 0.0323670i
\(268\) 6.91065 18.1081i 0.422135 1.10613i
\(269\) −1.89761 + 6.46268i −0.115700 + 0.394037i −0.996897 0.0787109i \(-0.974920\pi\)
0.881198 + 0.472748i \(0.156738\pi\)
\(270\) 3.34336 + 1.12686i 0.203470 + 0.0685784i
\(271\) 5.51868 12.0842i 0.335236 0.734064i −0.664679 0.747129i \(-0.731432\pi\)
0.999915 + 0.0130652i \(0.00415891\pi\)
\(272\) 6.43491 + 3.05735i 0.390174 + 0.185379i
\(273\) 14.0915 + 9.05604i 0.852854 + 0.548096i
\(274\) 1.45668 0.365927i 0.0880015 0.0221064i
\(275\) 6.01700i 0.362839i
\(276\) −8.50052 4.44309i −0.511671 0.267443i
\(277\) 17.0554i 1.02476i −0.858758 0.512381i \(-0.828763\pi\)
0.858758 0.512381i \(-0.171237\pi\)
\(278\) −3.07227 12.2301i −0.184262 0.733514i
\(279\) 7.54861 + 4.85119i 0.451923 + 0.290433i
\(280\) 18.3431 0.446550i 1.09621 0.0266864i
\(281\) 5.94061 13.0081i 0.354387 0.775999i −0.645538 0.763728i \(-0.723367\pi\)
0.999925 0.0122709i \(-0.00390603\pi\)
\(282\) −3.85460 + 11.4365i −0.229538 + 0.681033i
\(283\) 1.43324 4.88117i 0.0851974 0.290156i −0.905863 0.423571i \(-0.860776\pi\)
0.991060 + 0.133416i \(0.0425945\pi\)
\(284\) −10.6418 4.06127i −0.631476 0.240992i
\(285\) −6.73220 + 3.07449i −0.398781 + 0.182117i
\(286\) 8.11876 44.0441i 0.480073 2.60438i
\(287\) 7.36467 8.49928i 0.434722 0.501696i
\(288\) 5.63488 0.498095i 0.332039 0.0293505i
\(289\) 13.2677 3.89574i 0.780451 0.229161i
\(290\) −29.2587 1.15593i −1.71813 0.0678785i
\(291\) 4.04524 + 6.29451i 0.237136 + 0.368991i
\(292\) 4.93141 + 13.5338i 0.288589 + 0.792005i
\(293\) −1.93509 + 0.278224i −0.113049 + 0.0162540i −0.198607 0.980079i \(-0.563642\pi\)
0.0855581 + 0.996333i \(0.472733\pi\)
\(294\) 0.263368 0.210596i 0.0153599 0.0122822i
\(295\) −5.14007 + 35.7500i −0.299267 + 2.08145i
\(296\) −7.87877 + 18.4261i −0.457944 + 1.07100i
\(297\) 3.21937 + 3.71536i 0.186807 + 0.215587i
\(298\) −15.3609 7.76201i −0.889834 0.449641i
\(299\) −30.6823 3.60809i −1.77440 0.208661i
\(300\) 1.97067 1.45207i 0.113777 0.0838352i
\(301\) −9.75752 + 8.45494i −0.562414 + 0.487335i
\(302\) −20.7253 + 12.1910i −1.19261 + 0.701513i
\(303\) −1.66608 + 11.5879i −0.0957139 + 0.665705i
\(304\) −7.90578 + 8.84929i −0.453427 + 0.507542i
\(305\) −3.77564 26.2601i −0.216192 1.50365i
\(306\) −1.72333 + 1.83699i −0.0985165 + 0.105014i
\(307\) −5.82245 9.05991i −0.332305 0.517077i 0.634388 0.773015i \(-0.281252\pi\)
−0.966693 + 0.255938i \(0.917616\pi\)
\(308\) 22.3460 + 12.4224i 1.27328 + 0.707834i
\(309\) −0.997931 3.39864i −0.0567703 0.193342i
\(310\) 29.2941 12.0043i 1.66379 0.681796i
\(311\) −9.14397 + 10.5527i −0.518507 + 0.598389i −0.953256 0.302163i \(-0.902291\pi\)
0.434750 + 0.900551i \(0.356837\pi\)
\(312\) 16.3845 7.97002i 0.927589 0.451214i
\(313\) −9.66041 21.1534i −0.546039 1.19566i −0.958607 0.284732i \(-0.908096\pi\)
0.412569 0.910927i \(-0.364632\pi\)
\(314\) −31.5989 + 3.27624i −1.78323 + 0.184889i
\(315\) −1.82765 + 6.22440i −0.102976 + 0.350705i
\(316\) 1.33880 1.31867i 0.0753133 0.0741811i
\(317\) 9.37272 + 4.28038i 0.526424 + 0.240410i 0.660856 0.750513i \(-0.270194\pi\)
−0.134431 + 0.990923i \(0.542921\pi\)
\(318\) 4.56686 + 3.19653i 0.256097 + 0.179252i
\(319\) −34.3238 22.0586i −1.92176 1.23504i
\(320\) 9.96047 17.2951i 0.556807 0.966826i
\(321\) −18.5790 −1.03698
\(322\) 7.54609 15.9401i 0.420527 0.888309i
\(323\) 5.28372i 0.293994i
\(324\) −0.439919 + 1.95102i −0.0244400 + 0.108390i
\(325\) 4.26258 6.63270i 0.236445 0.367916i
\(326\) −5.93765 + 8.48309i −0.328856 + 0.469835i
\(327\) 3.13413 6.86278i 0.173318 0.379513i
\(328\) −3.73101 11.6499i −0.206010 0.643260i
\(329\) −21.2915 6.25176i −1.17384 0.344671i
\(330\) 17.2523 1.78876i 0.949710 0.0984679i
\(331\) −8.60315 + 3.92893i −0.472872 + 0.215953i −0.637573 0.770390i \(-0.720061\pi\)
0.164701 + 0.986344i \(0.447334\pi\)
\(332\) −7.65152 + 10.0615i −0.419932 + 0.552196i
\(333\) −5.35462 4.63980i −0.293431 0.254260i
\(334\) 3.80855 + 9.29404i 0.208394 + 0.508547i
\(335\) 23.1976 6.81143i 1.26742 0.372148i
\(336\) 1.32414 + 10.3166i 0.0722375 + 0.562815i
\(337\) −11.7394 + 7.54444i −0.639484 + 0.410972i −0.819810 0.572635i \(-0.805921\pi\)
0.180326 + 0.983607i \(0.442285\pi\)
\(338\) 27.5728 29.3913i 1.49976 1.59868i
\(339\) 12.0704 1.73547i 0.655577 0.0942577i
\(340\) 1.82320 + 8.69773i 0.0988768 + 0.471701i
\(341\) 43.6636 + 6.27787i 2.36451 + 0.339966i
\(342\) −2.12711 3.61619i −0.115021 0.195541i
\(343\) 12.3259 + 14.2248i 0.665534 + 0.768068i
\(344\) 2.33635 + 13.8481i 0.125968 + 0.746637i
\(345\) −2.00699 11.7950i −0.108053 0.635022i
\(346\) 19.2838 + 9.74430i 1.03671 + 0.523857i
\(347\) −9.33432 + 8.08823i −0.501092 + 0.434199i −0.868373 0.495911i \(-0.834834\pi\)
0.367281 + 0.930110i \(0.380289\pi\)
\(348\) −1.05872 16.5650i −0.0567532 0.887975i
\(349\) −28.6029 4.11248i −1.53108 0.220136i −0.675325 0.737520i \(-0.735997\pi\)
−0.855753 + 0.517384i \(0.826906\pi\)
\(350\) 2.81086 + 3.51523i 0.150247 + 0.187897i
\(351\) 0.916761 + 6.37621i 0.0489331 + 0.340337i
\(352\) 24.1812 13.7351i 1.28886 0.732085i
\(353\) −9.74320 + 6.26157i −0.518578 + 0.333270i −0.773609 0.633663i \(-0.781551\pi\)
0.255031 + 0.966933i \(0.417914\pi\)
\(354\) −20.4580 0.808239i −1.08733 0.0429574i
\(355\) −4.00295 13.6328i −0.212455 0.723554i
\(356\) −2.53834 0.200880i −0.134532 0.0106466i
\(357\) −3.50012 3.03287i −0.185246 0.160516i
\(358\) −28.5188 5.25694i −1.50727 0.277838i
\(359\) 5.26744 + 11.5341i 0.278005 + 0.608745i 0.996200 0.0870963i \(-0.0277588\pi\)
−0.718195 + 0.695842i \(0.755031\pi\)
\(360\) 4.74931 + 5.21876i 0.250311 + 0.275053i
\(361\) −9.78615 2.87347i −0.515061 0.151235i
\(362\) 1.05311 3.12455i 0.0553502 0.164223i
\(363\) 11.9783 + 5.47028i 0.628695 + 0.287115i
\(364\) 15.8322 + 29.5240i 0.829834 + 1.54748i
\(365\) −9.71408 + 15.1154i −0.508458 + 0.791176i
\(366\) 14.5859 3.66406i 0.762419 0.191524i
\(367\) 27.1188 1.41559 0.707795 0.706418i \(-0.249690\pi\)
0.707795 + 0.706418i \(0.249690\pi\)
\(368\) −10.5417 16.0273i −0.549523 0.835478i
\(369\) 4.32495 0.225148
\(370\) −24.2443 + 6.09030i −1.26040 + 0.316619i
\(371\) −5.54135 + 8.62251i −0.287693 + 0.447659i
\(372\) 8.48111 + 15.8156i 0.439725 + 0.820000i
\(373\) 4.61647 + 2.10827i 0.239032 + 0.109162i 0.531330 0.847165i \(-0.321693\pi\)
−0.292298 + 0.956327i \(0.594420\pi\)
\(374\) −3.95495 + 11.7342i −0.204505 + 0.606762i
\(375\) −9.03887 2.65405i −0.466765 0.137055i
\(376\) −17.8516 + 16.2458i −0.920626 + 0.837812i
\(377\) −22.2093 48.6315i −1.14383 2.50465i
\(378\) −3.61645 0.666630i −0.186010 0.0342877i
\(379\) −13.4409 11.6466i −0.690412 0.598245i 0.237347 0.971425i \(-0.423722\pi\)
−0.927759 + 0.373180i \(0.878268\pi\)
\(380\) −14.7559 1.16775i −0.756961 0.0599044i
\(381\) −0.215431 0.733690i −0.0110369 0.0375881i
\(382\) 16.3987 + 0.647869i 0.839032 + 0.0331478i
\(383\) −18.6265 + 11.9705i −0.951769 + 0.611665i −0.921708 0.387884i \(-0.873206\pi\)
−0.0300603 + 0.999548i \(0.509570\pi\)
\(384\) 10.3341 + 4.60509i 0.527359 + 0.235002i
\(385\) 4.53867 + 31.5671i 0.231312 + 1.60881i
\(386\) 9.38407 + 11.7356i 0.477637 + 0.597327i
\(387\) −4.91468 0.706624i −0.249827 0.0359197i
\(388\) 0.954486 + 14.9341i 0.0484567 + 0.758165i
\(389\) −2.34444 + 2.03147i −0.118868 + 0.103000i −0.712266 0.701909i \(-0.752331\pi\)
0.593399 + 0.804909i \(0.297786\pi\)
\(390\) 20.2849 + 10.2502i 1.02717 + 0.519037i
\(391\) 8.25494 + 2.19473i 0.417470 + 0.110992i
\(392\) 0.665030 0.112199i 0.0335891 0.00566692i
\(393\) 4.13995 + 4.77775i 0.208833 + 0.241006i
\(394\) −12.7358 21.6514i −0.641619 1.09078i
\(395\) 2.32020 + 0.333594i 0.116742 + 0.0167850i
\(396\) 2.01717 + 9.62310i 0.101367 + 0.483579i
\(397\) −9.15193 + 1.31585i −0.459322 + 0.0660406i −0.368092 0.929789i \(-0.619989\pi\)
−0.0912301 + 0.995830i \(0.529080\pi\)
\(398\) −8.26773 + 8.81301i −0.414424 + 0.441756i
\(399\) 6.48946 4.17053i 0.324880 0.208787i
\(400\) 4.85590 0.623256i 0.242795 0.0311628i
\(401\) 15.7838 4.63454i 0.788205 0.231438i 0.137232 0.990539i \(-0.456179\pi\)
0.650973 + 0.759101i \(0.274361\pi\)
\(402\) 5.19675 + 12.6817i 0.259190 + 0.632504i
\(403\) 43.6841 + 37.8525i 2.17606 + 1.88557i
\(404\) −14.1731 + 18.6371i −0.705136 + 0.927230i
\(405\) −2.26933 + 1.03637i −0.112764 + 0.0514976i
\(406\) 30.3572 3.14750i 1.50660 0.156208i
\(407\) −33.4206 9.81318i −1.65660 0.486421i
\(408\) −4.79760 + 1.53648i −0.237516 + 0.0760670i
\(409\) −9.56672 + 20.9482i −0.473044 + 1.03582i 0.511274 + 0.859418i \(0.329174\pi\)
−0.984318 + 0.176404i \(0.943554\pi\)
\(410\) 8.75000 12.5011i 0.432132 0.617384i
\(411\) −0.574179 + 0.893440i −0.0283222 + 0.0440701i
\(412\) 1.55825 6.91075i 0.0767694 0.340468i
\(413\) 37.6452i 1.85240i
\(414\) 6.53325 1.82118i 0.321092 0.0895062i
\(415\) −15.7675 −0.773996
\(416\) 36.3859 + 1.98988i 1.78396 + 0.0975620i
\(417\) 7.50120 + 4.82073i 0.367335 + 0.236072i
\(418\) −16.8972 11.8270i −0.826470 0.578479i
\(419\) 15.9425 + 7.28070i 0.778842 + 0.355685i 0.764843 0.644217i \(-0.222816\pi\)
0.0139993 + 0.999902i \(0.495544\pi\)
\(420\) −9.24347 + 9.10451i −0.451035 + 0.444254i
\(421\) 11.0122 37.5040i 0.536701 1.82784i −0.0238500 0.999716i \(-0.507592\pi\)
0.560551 0.828120i \(-0.310589\pi\)
\(422\) 1.38996 0.144114i 0.0676620 0.00701534i
\(423\) −3.54507 7.76261i −0.172367 0.377431i
\(424\) 4.87682 + 10.0256i 0.236840 + 0.486886i
\(425\) −1.42754 + 1.64747i −0.0692458 + 0.0799139i
\(426\) 7.45279 3.05403i 0.361089 0.147968i
\(427\) 7.79054 + 26.5321i 0.377011 + 1.28398i
\(428\) −32.4770 18.0544i −1.56984 0.872694i
\(429\) 17.1213 + 26.6413i 0.826625 + 1.28625i
\(430\) −11.9856 + 12.7761i −0.577996 + 0.616117i
\(431\) 3.11827 + 21.6881i 0.150202 + 1.04468i 0.915880 + 0.401453i \(0.131495\pi\)
−0.765678 + 0.643225i \(0.777596\pi\)
\(432\) −2.66493 + 2.98298i −0.128217 + 0.143518i
\(433\) 1.91696 13.3328i 0.0921233 0.640731i −0.890481 0.455020i \(-0.849632\pi\)
0.982604 0.185711i \(-0.0594589\pi\)
\(434\) −28.4417 + 16.7299i −1.36524 + 0.803063i
\(435\) 15.6479 13.5590i 0.750259 0.650104i
\(436\) 12.1476 8.95084i 0.581765 0.428667i
\(437\) −7.38124 + 12.1628i −0.353093 + 0.581825i
\(438\) −9.09066 4.59359i −0.434368 0.219490i
\(439\) 11.3308 + 13.0764i 0.540790 + 0.624104i 0.958712 0.284378i \(-0.0917872\pi\)
−0.417923 + 0.908483i \(0.637242\pi\)
\(440\) 31.8962 + 13.6384i 1.52059 + 0.650184i
\(441\) −0.0339345 + 0.236019i −0.00161593 + 0.0112390i
\(442\) −12.6724 + 10.1332i −0.602766 + 0.481986i
\(443\) 3.13276 0.450424i 0.148842 0.0214003i −0.0674910 0.997720i \(-0.521499\pi\)
0.216333 + 0.976320i \(0.430590\pi\)
\(444\) −4.85133 13.3140i −0.230234 0.631856i
\(445\) −1.71719 2.67199i −0.0814025 0.126665i
\(446\) −21.1164 0.834251i −0.999891 0.0395029i
\(447\) 11.6768 3.42862i 0.552294 0.162168i
\(448\) −7.71062 + 19.3206i −0.364293 + 0.912813i
\(449\) 0.393845 0.454521i 0.0185867 0.0214502i −0.746380 0.665520i \(-0.768210\pi\)
0.764967 + 0.644070i \(0.222755\pi\)
\(450\) −0.313775 + 1.70222i −0.0147915 + 0.0802436i
\(451\) 19.3406 8.83254i 0.910711 0.415908i
\(452\) 22.7862 + 8.69595i 1.07177 + 0.409023i
\(453\) 4.79011 16.3136i 0.225059 0.766480i
\(454\) −8.57161 + 25.4317i −0.402285 + 1.19357i
\(455\) −17.3598 + 38.0126i −0.813838 + 1.78206i
\(456\) −0.204208 8.38832i −0.00956292 0.392819i
\(457\) 25.5683 + 16.4318i 1.19604 + 0.768646i 0.978266 0.207354i \(-0.0664853\pi\)
0.217770 + 0.976000i \(0.430122\pi\)
\(458\) 0.281831 + 1.12192i 0.0131691 + 0.0524237i
\(459\) 1.78107i 0.0831333i
\(460\) 7.95366 22.5686i 0.370841 1.05227i
\(461\) 22.3125i 1.03920i −0.854410 0.519599i \(-0.826081\pi\)
0.854410 0.519599i \(-0.173919\pi\)
\(462\) −17.5337 + 4.40455i −0.815740 + 0.204918i
\(463\) 24.5615 + 15.7847i 1.14147 + 0.733577i 0.967923 0.251248i \(-0.0808411\pi\)
0.173546 + 0.984826i \(0.444477\pi\)
\(464\) 14.2466 29.9852i 0.661380 1.39203i
\(465\) −9.29939 + 20.3628i −0.431249 + 0.944303i
\(466\) 3.64430 + 1.22829i 0.168819 + 0.0568993i
\(467\) 0.287045 0.977585i 0.0132828 0.0452372i −0.952585 0.304273i \(-0.901587\pi\)
0.965868 + 0.259036i \(0.0834047\pi\)
\(468\) −4.59364 + 12.0368i −0.212341 + 0.556402i
\(469\) −22.9223 + 10.4682i −1.05845 + 0.483379i
\(470\) −29.6097 5.45803i −1.36579 0.251760i
\(471\) 14.7105 16.9768i 0.677824 0.782251i
\(472\) −34.9761 21.2932i −1.60991 0.980099i
\(473\) −23.4209 + 6.87698i −1.07689 + 0.316204i
\(474\) −0.0524553 + 1.32774i −0.00240935 + 0.0609850i
\(475\) −1.96302 3.05452i −0.0900696 0.140151i
\(476\) −3.17114 8.70289i −0.145349 0.398896i
\(477\) −3.90158 + 0.560963i −0.178641 + 0.0256847i
\(478\) −4.14892 5.18859i −0.189767 0.237321i
\(479\) −0.341375 + 2.37431i −0.0155978 + 0.108485i −0.996133 0.0878584i \(-0.971998\pi\)
0.980535 + 0.196344i \(0.0629068\pi\)
\(480\) 3.23062 + 13.7379i 0.147457 + 0.627045i
\(481\) −29.8886 34.4933i −1.36280 1.57276i
\(482\) −1.03667 + 2.05156i −0.0472192 + 0.0934461i
\(483\) 3.82019 + 11.8711i 0.173825 + 0.540152i
\(484\) 15.6227 + 21.2024i 0.710124 + 0.963744i
\(485\) −14.1073 + 12.2241i −0.640582 + 0.555067i
\(486\) −0.717020 1.21897i −0.0325247 0.0552935i
\(487\) 0.0974437 0.677736i 0.00441560 0.0307111i −0.987495 0.157653i \(-0.949607\pi\)
0.991910 + 0.126942i \(0.0405163\pi\)
\(488\) 29.0575 + 7.76914i 1.31537 + 0.351693i
\(489\) −1.04201 7.24731i −0.0471211 0.327735i
\(490\) 0.613550 + 0.575588i 0.0277173 + 0.0260024i
\(491\) 20.6265 + 32.0954i 0.930859 + 1.44845i 0.893459 + 0.449145i \(0.148271\pi\)
0.0374007 + 0.999300i \(0.488092\pi\)
\(492\) 7.56022 + 4.20283i 0.340841 + 0.189478i
\(493\) 4.16451 + 14.1830i 0.187560 + 0.638771i
\(494\) −10.2477 25.0076i −0.461067 1.12515i
\(495\) −8.03163 + 9.26900i −0.360995 + 0.416611i
\(496\) −0.543645 + 35.8881i −0.0244104 + 1.61142i
\(497\) 6.15200 + 13.4710i 0.275955 + 0.604257i
\(498\) −0.921779 8.89044i −0.0413059 0.398390i
\(499\) 10.2975 35.0701i 0.460980 1.56995i −0.321270 0.946988i \(-0.604110\pi\)
0.782250 0.622965i \(-0.214072\pi\)
\(500\) −13.2213 13.4231i −0.591273 0.600298i
\(501\) −6.46044 2.95039i −0.288631 0.131813i
\(502\) −3.92901 + 5.61336i −0.175360 + 0.250537i
\(503\) 11.4471 + 7.35660i 0.510401 + 0.328015i 0.770365 0.637604i \(-0.220074\pi\)
−0.259964 + 0.965618i \(0.583711\pi\)
\(504\) −5.67392 4.67964i −0.252737 0.208448i
\(505\) −29.2064 −1.29967
\(506\) 25.4965 21.4865i 1.13346 0.955190i
\(507\) 28.4966i 1.26558i
\(508\) 0.336390 1.49187i 0.0149249 0.0661912i
\(509\) 5.41814 8.43080i 0.240155 0.373689i −0.700164 0.713982i \(-0.746890\pi\)
0.940319 + 0.340293i \(0.110526\pi\)
\(510\) −5.14811 3.60337i −0.227962 0.159560i
\(511\) 7.77975 17.0353i 0.344156 0.753597i
\(512\) 13.5894 + 18.0922i 0.600573 + 0.799570i
\(513\) 2.84643 + 0.835787i 0.125673 + 0.0369009i
\(514\) −0.360674 3.47865i −0.0159086 0.153437i
\(515\) 8.03826 3.67095i 0.354208 0.161761i
\(516\) −7.90443 6.01113i −0.347973 0.264625i
\(517\) −31.7061 27.4735i −1.39443 1.20828i
\(518\) 24.1091 9.87953i 1.05929 0.434082i
\(519\) −14.6589 + 4.30423i −0.643453 + 0.188935i
\(520\) 25.4983 + 37.6299i 1.11817 + 1.65018i
\(521\) 22.1454 14.2320i 0.970207 0.623514i 0.0434020 0.999058i \(-0.486180\pi\)
0.926805 + 0.375544i \(0.122544\pi\)
\(522\) 8.55997 + 8.03034i 0.374660 + 0.351479i
\(523\) −18.6887 + 2.68703i −0.817200 + 0.117496i −0.538224 0.842802i \(-0.680904\pi\)
−0.278977 + 0.960298i \(0.589995\pi\)
\(524\) 2.59398 + 12.3748i 0.113318 + 0.540596i
\(525\) −3.15020 0.452930i −0.137486 0.0197675i
\(526\) −7.50105 + 4.41226i −0.327061 + 0.192384i
\(527\) −10.4657 12.0781i −0.455895 0.526131i
\(528\) −5.82527 + 18.7819i −0.253513 + 0.817375i
\(529\) −15.9364 16.5841i −0.692885 0.721048i
\(530\) −6.27203 + 12.4123i −0.272439 + 0.539154i
\(531\) 10.9412 9.48060i 0.474807 0.411423i
\(532\) 15.3967 0.984048i 0.667530 0.0426639i
\(533\) 27.5768 + 3.96494i 1.19448 + 0.171741i
\(534\) 1.40621 1.12444i 0.0608525 0.0486591i
\(535\) −6.59637 45.8788i −0.285186 1.98351i
\(536\) −3.23944 + 27.2182i −0.139922 + 1.17565i
\(537\) 17.2504 11.0861i 0.744409 0.478403i
\(538\) 0.376031 9.51804i 0.0162119 0.410352i
\(539\) 0.330256 + 1.12475i 0.0142251 + 0.0484463i
\(540\) −4.97401 0.393633i −0.214047 0.0169393i
\(541\) 25.2084 + 21.8432i 1.08379 + 0.939113i 0.998361 0.0572309i \(-0.0182271\pi\)
0.0854332 + 0.996344i \(0.472773\pi\)
\(542\) −3.40576 + 18.4762i −0.146290 + 0.793620i
\(543\) 0.968542 + 2.12081i 0.0415641 + 0.0910127i
\(544\) −9.87953 1.97630i −0.423581 0.0847330i
\(545\) 18.0596 + 5.30278i 0.773589 + 0.227146i
\(546\) −22.4481 7.56600i −0.960691 0.323795i
\(547\) 4.52157 + 2.06493i 0.193328 + 0.0882900i 0.509727 0.860336i \(-0.329746\pi\)
−0.316399 + 0.948626i \(0.602474\pi\)
\(548\) −1.87191 + 1.00381i −0.0799638 + 0.0428806i
\(549\) −5.74932 + 8.94611i −0.245375 + 0.381811i
\(550\) 2.07317 + 8.25291i 0.0884004 + 0.351905i
\(551\) −24.6209 −1.04889
\(552\) 13.1902 + 3.16526i 0.561412 + 0.134723i
\(553\) −2.44320 −0.103895
\(554\) 5.87650 + 23.3932i 0.249669 + 0.993883i
\(555\) 9.55634 14.8700i 0.405644 0.631195i
\(556\) 8.42784 + 15.7163i 0.357420 + 0.666518i
\(557\) 0.148531 + 0.0678319i 0.00629347 + 0.00287413i 0.418559 0.908189i \(-0.362535\pi\)
−0.412266 + 0.911064i \(0.635262\pi\)
\(558\) −12.0252 4.05300i −0.509065 0.171577i
\(559\) −30.6893 9.01118i −1.29802 0.381132i
\(560\) −25.0055 + 6.93264i −1.05667 + 0.292958i
\(561\) −3.63736 7.96470i −0.153569 0.336270i
\(562\) −3.66615 + 19.8888i −0.154647 + 0.838957i
\(563\) −20.9140 18.1221i −0.881420 0.763755i 0.0912791 0.995825i \(-0.470904\pi\)
−0.972699 + 0.232071i \(0.925450\pi\)
\(564\) 1.34649 17.0144i 0.0566973 0.716435i
\(565\) 8.57109 + 29.1904i 0.360588 + 1.22805i
\(566\) −0.284011 + 7.18884i −0.0119379 + 0.302169i
\(567\) 2.18751 1.40583i 0.0918668 0.0590392i
\(568\) 15.9956 + 1.90376i 0.671162 + 0.0798800i
\(569\) −3.43240 23.8728i −0.143894 1.00080i −0.925964 0.377612i \(-0.876745\pi\)
0.782070 0.623190i \(-0.214164\pi\)
\(570\) 8.17455 6.53657i 0.342394 0.273787i
\(571\) 5.55222 + 0.798289i 0.232353 + 0.0334074i 0.257508 0.966276i \(-0.417099\pi\)
−0.0251545 + 0.999684i \(0.508008\pi\)
\(572\) 4.03983 + 63.2082i 0.168914 + 2.64287i
\(573\) −8.77024 + 7.59946i −0.366382 + 0.317472i
\(574\) −7.17292 + 14.1951i −0.299392 + 0.592493i
\(575\) 5.58758 1.79812i 0.233018 0.0749869i
\(576\) −7.55718 + 2.62470i −0.314882 + 0.109363i
\(577\) −9.52665 10.9943i −0.396600 0.457701i 0.521967 0.852965i \(-0.325198\pi\)
−0.918567 + 0.395265i \(0.870653\pi\)
\(578\) −16.8556 + 9.91480i −0.701102 + 0.412401i
\(579\) −10.5169 1.51211i −0.437069 0.0628411i
\(580\) 40.5294 8.49568i 1.68289 0.352764i
\(581\) 16.2671 2.33886i 0.674873 0.0970321i
\(582\) −7.71723 7.23975i −0.319890 0.300097i
\(583\) −16.3017 + 10.4765i −0.675148 + 0.433891i
\(584\) −11.4270 16.8638i −0.472853 0.697829i
\(585\) −15.4199 + 4.52768i −0.637533 + 0.187196i
\(586\) 2.55830 1.04835i 0.105682 0.0433070i
\(587\) −10.4445 9.05017i −0.431089 0.373541i 0.412117 0.911131i \(-0.364789\pi\)
−0.843206 + 0.537590i \(0.819335\pi\)
\(588\) −0.288674 + 0.379597i −0.0119047 + 0.0156543i
\(589\) 24.2139 11.0581i 0.997715 0.455641i
\(590\) −5.26764 50.8057i −0.216865 2.09164i
\(591\) 17.0426 + 5.00416i 0.701038 + 0.205843i
\(592\) 4.45773 27.9879i 0.183212 1.15030i
\(593\) 10.6045 23.2206i 0.435474 0.953555i −0.556933 0.830557i \(-0.688022\pi\)
0.992407 0.122998i \(-0.0392508\pi\)
\(594\) −5.69583 3.98673i −0.233703 0.163578i
\(595\) 6.24663 9.71995i 0.256087 0.398479i
\(596\) 23.7434 + 5.35372i 0.972570 + 0.219297i
\(597\) 8.54472i 0.349712i
\(598\) 43.3270 5.62282i 1.77177 0.229934i
\(599\) 24.3980 0.996877 0.498438 0.866925i \(-0.333907\pi\)
0.498438 + 0.866925i \(0.333907\pi\)
\(600\) −2.20266 + 2.67065i −0.0899230 + 0.109029i
\(601\) 13.7405 + 8.83047i 0.560486 + 0.360202i 0.790004 0.613102i \(-0.210079\pi\)
−0.229518 + 0.973304i \(0.573715\pi\)
\(602\) 10.4702 14.9588i 0.426735 0.609674i
\(603\) −8.81524 4.02579i −0.358984 0.163943i
\(604\) 24.2263 23.8621i 0.985755 0.970936i
\(605\) −9.25544 + 31.5211i −0.376287 + 1.28152i
\(606\) −1.70743 16.4679i −0.0693596 0.668964i
\(607\) −7.33012 16.0507i −0.297520 0.651479i 0.700548 0.713605i \(-0.252939\pi\)
−0.998068 + 0.0621266i \(0.980212\pi\)
\(608\) 7.79451 14.8616i 0.316109 0.602719i
\(609\) −14.1325 + 16.3097i −0.572676 + 0.660904i
\(610\) 14.2267 + 34.7174i 0.576020 + 1.40567i
\(611\) −15.4876 52.7461i −0.626563 2.13388i
\(612\) 1.73078 3.11340i 0.0699627 0.125852i
\(613\) 8.07873 + 12.5707i 0.326297 + 0.507728i 0.965184 0.261573i \(-0.0842412\pi\)
−0.638887 + 0.769301i \(0.720605\pi\)
\(614\) 11.1077 + 10.4204i 0.448270 + 0.420534i
\(615\) 1.53555 + 10.6800i 0.0619193 + 0.430658i
\(616\) −34.9299 9.33924i −1.40737 0.376289i
\(617\) −0.423933 + 2.94852i −0.0170669 + 0.118703i −0.996574 0.0827074i \(-0.973643\pi\)
0.979507 + 0.201410i \(0.0645524\pi\)
\(618\) 2.53977 + 4.31773i 0.102165 + 0.173685i
\(619\) −24.6741 + 21.3803i −0.991737 + 0.859345i −0.990059 0.140653i \(-0.955080\pi\)
−0.00167853 + 0.999999i \(0.500534\pi\)
\(620\) −36.0437 + 26.5584i −1.44755 + 1.06661i
\(621\) −2.48812 + 4.09991i −0.0998447 + 0.164524i
\(622\) 8.90589 17.6246i 0.357094 0.706684i
\(623\) 2.16795 + 2.50194i 0.0868569 + 0.100238i
\(624\) −19.7268 + 16.5770i −0.789706 + 0.663611i
\(625\) 4.21560 29.3201i 0.168624 1.17281i
\(626\) 20.5387 + 25.6854i 0.820890 + 1.02659i
\(627\) 14.4357 2.07554i 0.576507 0.0828891i
\(628\) 42.2122 15.3812i 1.68445 0.613775i
\(629\) 6.82245 + 10.6159i 0.272029 + 0.423285i
\(630\) 0.362167 9.16710i 0.0144291 0.365226i
\(631\) −16.7757 + 4.92578i −0.667829 + 0.196092i −0.598036 0.801469i \(-0.704052\pi\)
−0.0697928 + 0.997562i \(0.522234\pi\)
\(632\) −1.38194 + 2.26998i −0.0549708 + 0.0902948i
\(633\) −0.647078 + 0.746768i −0.0257191 + 0.0296814i
\(634\) −14.3304 2.64156i −0.569134 0.104910i
\(635\) 1.73528 0.792474i 0.0688624 0.0314484i
\(636\) −7.36528 2.81083i −0.292052 0.111457i
\(637\) −0.432747 + 1.47380i −0.0171461 + 0.0583941i
\(638\) 54.6788 + 18.4291i 2.16475 + 0.729617i
\(639\) −2.36588 + 5.18056i −0.0935929 + 0.204940i
\(640\) −7.70269 + 27.1539i −0.304475 + 1.07335i
\(641\) −22.8736 14.7000i −0.903454 0.580614i 0.00435895 0.999990i \(-0.498612\pi\)
−0.907813 + 0.419376i \(0.862249\pi\)
\(642\) 25.4829 6.40145i 1.00573 0.252645i
\(643\) 27.6854i 1.09181i −0.837848 0.545904i \(-0.816186\pi\)
0.837848 0.545904i \(-0.183814\pi\)
\(644\) −4.85799 + 24.4635i −0.191432 + 0.963997i
\(645\) 12.3871i 0.487743i
\(646\) 1.82052 + 7.24715i 0.0716274 + 0.285135i
\(647\) 6.18926 + 3.97759i 0.243325 + 0.156375i 0.656620 0.754222i \(-0.271986\pi\)
−0.413295 + 0.910597i \(0.635622\pi\)
\(648\) −0.0688358 2.82759i −0.00270412 0.111078i
\(649\) 29.5659 64.7403i 1.16056 2.54128i
\(650\) −3.56123 + 10.5661i −0.139683 + 0.414436i
\(651\) 6.57355 22.3875i 0.257638 0.877434i
\(652\) 5.22120 13.6812i 0.204478 0.535798i
\(653\) 16.9152 7.72490i 0.661942 0.302299i −0.0559703 0.998432i \(-0.517825\pi\)
0.717912 + 0.696134i \(0.245098\pi\)
\(654\) −1.93417 + 10.4929i −0.0756322 + 0.410303i
\(655\) −10.3283 + 11.9195i −0.403559 + 0.465731i
\(656\) 9.13146 + 14.6935i 0.356524 + 0.573685i
\(657\) 6.91038 2.02907i 0.269600 0.0791616i
\(658\) 31.3575 + 1.23885i 1.22244 + 0.0482954i
\(659\) −10.9244 16.9986i −0.425553 0.662173i 0.560586 0.828096i \(-0.310576\pi\)
−0.986139 + 0.165923i \(0.946940\pi\)
\(660\) −23.0470 + 8.39780i −0.897102 + 0.326884i
\(661\) −47.6931 + 6.85723i −1.85505 + 0.266715i −0.977214 0.212255i \(-0.931919\pi\)
−0.877831 + 0.478970i \(0.841010\pi\)
\(662\) 10.4464 8.35315i 0.406009 0.324655i
\(663\) 1.63282 11.3565i 0.0634134 0.441050i
\(664\) 7.02810 16.4367i 0.272743 0.637866i
\(665\) 12.6027 + 14.5443i 0.488711 + 0.564003i
\(666\) 8.94304 + 4.51900i 0.346536 + 0.175108i
\(667\) 10.2269 38.4661i 0.395989 1.48941i
\(668\) −8.42609 11.4354i −0.326015 0.442451i
\(669\) 11.2933 9.78572i 0.436625 0.378338i
\(670\) −29.4709 + 17.3353i −1.13856 + 0.669722i
\(671\) −7.44012 + 51.7472i −0.287223 + 1.99768i
\(672\) −5.37078 13.6940i −0.207182 0.528256i
\(673\) −1.76993 12.3102i −0.0682259 0.474522i −0.995078 0.0990950i \(-0.968405\pi\)
0.926852 0.375427i \(-0.122504\pi\)
\(674\) 13.5023 14.3928i 0.520087 0.554389i
\(675\) −0.661708 1.02964i −0.0254691 0.0396308i
\(676\) −27.6920 + 49.8134i −1.06508 + 1.91590i
\(677\) −8.59802 29.2822i −0.330449 1.12540i −0.942394 0.334505i \(-0.891431\pi\)
0.611945 0.790900i \(-0.290387\pi\)
\(678\) −15.9579 + 6.53927i −0.612858 + 0.251139i
\(679\) 12.7411 14.7040i 0.488959 0.564289i
\(680\) −5.49752 11.3016i −0.210820 0.433397i
\(681\) −7.88329 17.2620i −0.302088 0.661481i
\(682\) −62.0520 + 6.43368i −2.37609 + 0.246358i
\(683\) 2.83608 9.65880i 0.108520 0.369584i −0.887270 0.461250i \(-0.847401\pi\)
0.995790 + 0.0916662i \(0.0292193\pi\)
\(684\) 4.16351 + 4.22706i 0.159196 + 0.161626i
\(685\) −2.41011 1.10066i −0.0920855 0.0420540i
\(686\) −21.8073 15.2638i −0.832608 0.582775i
\(687\) −0.688114 0.442224i −0.0262532 0.0168719i
\(688\) −7.97592 18.1890i −0.304079 0.693449i
\(689\) −25.3916 −0.967342
\(690\) 6.81680 + 15.4865i 0.259511 + 0.589562i
\(691\) 38.4909i 1.46426i 0.681164 + 0.732131i \(0.261474\pi\)
−0.681164 + 0.732131i \(0.738526\pi\)
\(692\) −29.8071 6.72097i −1.13310 0.255493i
\(693\) 6.91122 10.7541i 0.262535 0.408513i
\(694\) 10.0161 14.3100i 0.380207 0.543199i
\(695\) −9.24098 + 20.2349i −0.350530 + 0.767555i
\(696\) 7.15964 + 22.3557i 0.271385 + 0.847391i
\(697\) −7.39101 2.17020i −0.279955 0.0822021i
\(698\) 40.6487 4.21454i 1.53858 0.159523i
\(699\) −2.47360 + 1.12965i −0.0935601 + 0.0427274i
\(700\) −5.06655 3.85299i −0.191498 0.145629i
\(701\) −19.0953 16.5461i −0.721218 0.624939i 0.214895 0.976637i \(-0.431059\pi\)
−0.936114 + 0.351698i \(0.885604\pi\)
\(702\) −3.45437 8.42974i −0.130377 0.318160i
\(703\) −20.1674 + 5.92170i −0.760630 + 0.223341i
\(704\) −28.4344 + 27.1708i −1.07166 + 1.02404i
\(705\) 17.9102 11.5102i 0.674539 0.433500i
\(706\) 11.2063 11.9454i 0.421755 0.449572i
\(707\) 30.1319 4.33231i 1.13323 0.162933i
\(708\) 28.3386 5.94028i 1.06503 0.223249i
\(709\) −41.2840 5.93574i −1.55045 0.222921i −0.686738 0.726905i \(-0.740958\pi\)
−0.863713 + 0.503984i \(0.831867\pi\)
\(710\) 10.1877 + 17.3195i 0.382336 + 0.649990i
\(711\) −0.615297 0.710091i −0.0230754 0.0266305i
\(712\) 3.55080 0.599067i 0.133072 0.0224510i
\(713\) 7.21861 + 42.4234i 0.270339 + 1.58877i
\(714\) 5.84574 + 2.95390i 0.218771 + 0.110547i
\(715\) −59.7089 + 51.7380i −2.23299 + 1.93489i
\(716\) 40.9276 2.61581i 1.52954 0.0977574i
\(717\) 4.64979 + 0.668539i 0.173650 + 0.0249670i
\(718\) −11.1989 14.0052i −0.417940 0.522670i
\(719\) −1.27591 8.87417i −0.0475835 0.330951i −0.999683 0.0251633i \(-0.991989\pi\)
0.952100 0.305787i \(-0.0989197\pi\)
\(720\) −8.31229 5.52166i −0.309781 0.205780i
\(721\) −7.74843 + 4.97961i −0.288567 + 0.185451i
\(722\) 14.4127 + 0.569408i 0.536387 + 0.0211912i
\(723\) −0.457917 1.55952i −0.0170301 0.0579993i
\(724\) −0.367871 + 4.64848i −0.0136718 + 0.172759i
\(725\) 7.67682 + 6.65200i 0.285110 + 0.247049i
\(726\) −18.3142 3.37590i −0.679702 0.125291i
\(727\) −3.40334 7.45227i −0.126223 0.276389i 0.835962 0.548788i \(-0.184910\pi\)
−0.962185 + 0.272398i \(0.912183\pi\)
\(728\) −31.8880 35.0400i −1.18185 1.29867i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) 8.11577 24.0793i 0.300378 0.891214i
\(731\) 8.04425 + 3.67368i 0.297527 + 0.135876i
\(732\) −18.7436 + 10.0513i −0.692783 + 0.371505i
\(733\) 4.83784 7.52783i 0.178690 0.278047i −0.740342 0.672231i \(-0.765336\pi\)
0.919032 + 0.394184i \(0.128973\pi\)
\(734\) −37.1961 + 9.34386i −1.37293 + 0.344888i
\(735\) −0.594871 −0.0219422
\(736\) 19.9812 + 18.3508i 0.736517 + 0.676419i
\(737\) −47.6421 −1.75492
\(738\) −5.93209 + 1.49017i −0.218363 + 0.0548540i
\(739\) −10.7346 + 16.7033i −0.394878 + 0.614442i −0.980588 0.196079i \(-0.937179\pi\)
0.585710 + 0.810520i \(0.300816\pi\)
\(740\) 31.1550 16.7069i 1.14528 0.614157i
\(741\) 17.3832 + 7.93866i 0.638589 + 0.291634i
\(742\) 4.62960 13.7359i 0.169958 0.504261i
\(743\) 9.71237 + 2.85181i 0.356312 + 0.104623i 0.454990 0.890497i \(-0.349643\pi\)
−0.0986773 + 0.995119i \(0.531461\pi\)
\(744\) −17.0820 18.7705i −0.626256 0.688158i
\(745\) 12.6124 + 27.6173i 0.462082 + 1.01182i
\(746\) −7.05836 1.30109i −0.258425 0.0476361i
\(747\) 4.77648 + 4.13884i 0.174762 + 0.151432i
\(748\) 1.38154 17.4573i 0.0505141 0.638303i
\(749\) 13.6108 + 46.3540i 0.497327 + 1.69374i
\(750\) 13.3122 + 0.525927i 0.486091 + 0.0192041i
\(751\) −15.2735 + 9.81569i −0.557338 + 0.358180i −0.788786 0.614668i \(-0.789290\pi\)
0.231448 + 0.972847i \(0.425654\pi\)
\(752\) 18.8877 28.4335i 0.688764 1.03686i
\(753\) −0.689507 4.79563i −0.0251270 0.174762i
\(754\) 47.2183 + 59.0506i 1.71959 + 2.15050i
\(755\) 41.9853 + 6.03658i 1.52800 + 0.219694i
\(756\) 5.19001 0.331709i 0.188759 0.0120641i
\(757\) −13.4627 + 11.6655i −0.489312 + 0.423991i −0.864253 0.503058i \(-0.832208\pi\)
0.374941 + 0.927049i \(0.377663\pi\)
\(758\) 22.4484 + 11.3434i 0.815361 + 0.412009i
\(759\) −2.75355 + 23.4155i −0.0999476 + 0.849930i
\(760\) 20.6415 3.48249i 0.748746 0.126323i
\(761\) −25.2920 29.1885i −0.916833 1.05808i −0.998114 0.0613901i \(-0.980447\pi\)
0.0812812 0.996691i \(-0.474099\pi\)
\(762\) 0.548279 + 0.932101i 0.0198621 + 0.0337664i
\(763\) −19.4184 2.79195i −0.702995 0.101075i
\(764\) −22.7157 + 4.76161i −0.821825 + 0.172269i
\(765\) 4.39815 0.632359i 0.159016 0.0228630i
\(766\) 21.4236 22.8365i 0.774066 0.825118i
\(767\) 78.4548 50.4199i 2.83284 1.82056i
\(768\) −15.7609 2.75570i −0.568723 0.0994376i
\(769\) 37.0275 10.8723i 1.33525 0.392064i 0.465275 0.885166i \(-0.345955\pi\)
0.869971 + 0.493102i \(0.164137\pi\)
\(770\) −17.1018 41.7336i −0.616305 1.50398i
\(771\) 1.86894 + 1.61945i 0.0673083 + 0.0583230i
\(772\) −16.9147 12.8632i −0.608774 0.462958i
\(773\) 8.89825 4.06369i 0.320048 0.146161i −0.248912 0.968526i \(-0.580073\pi\)