Properties

Label 91.2.bc.a.20.2
Level $91$
Weight $2$
Character 91.20
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bc (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 20.2
Character \(\chi\) \(=\) 91.20
Dual form 91.2.bc.a.41.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.47996 + 0.664504i) q^{2} +(2.33506 + 1.34815i) q^{3} +(3.97660 - 2.29589i) q^{4} +(0.281686 - 0.281686i) q^{5} +(-6.68671 - 1.79170i) q^{6} +(1.14426 - 2.38551i) q^{7} +(-4.70528 + 4.70528i) q^{8} +(2.13500 + 3.69793i) q^{9} +O(q^{10})\) \(q+(-2.47996 + 0.664504i) q^{2} +(2.33506 + 1.34815i) q^{3} +(3.97660 - 2.29589i) q^{4} +(0.281686 - 0.281686i) q^{5} +(-6.68671 - 1.79170i) q^{6} +(1.14426 - 2.38551i) q^{7} +(-4.70528 + 4.70528i) q^{8} +(2.13500 + 3.69793i) q^{9} +(-0.511390 + 0.885754i) q^{10} +(0.939666 + 3.50688i) q^{11} +12.3808 q^{12} +(-3.44571 + 1.06165i) q^{13} +(-1.25253 + 6.67635i) q^{14} +(1.03751 - 0.278000i) q^{15} +(3.95046 - 6.84240i) q^{16} +(-2.04856 - 3.54822i) q^{17} +(-7.75202 - 7.75202i) q^{18} +(-0.777996 - 0.208463i) q^{19} +(0.473433 - 1.76688i) q^{20} +(5.88793 - 4.02769i) q^{21} +(-4.66067 - 8.07252i) q^{22} +(-4.41149 - 2.54698i) q^{23} +(-17.3305 + 4.64370i) q^{24} +4.84131i q^{25} +(7.83976 - 4.92254i) q^{26} +3.42430i q^{27} +(-0.926631 - 12.1133i) q^{28} +(1.00735 - 1.74478i) q^{29} +(-2.38825 + 1.37886i) q^{30} +(4.44176 - 4.44176i) q^{31} +(-1.80569 + 6.73893i) q^{32} +(-2.53362 + 9.45558i) q^{33} +(7.43817 + 7.43817i) q^{34} +(-0.349645 - 0.994288i) q^{35} +(16.9801 + 9.80347i) q^{36} +(0.463819 + 1.73100i) q^{37} +2.06793 q^{38} +(-9.47719 - 2.16630i) q^{39} +2.65083i q^{40} +(-0.578490 - 2.15895i) q^{41} +(-11.9254 + 13.9011i) q^{42} +(-2.65096 + 1.53053i) q^{43} +(11.7881 + 11.7881i) q^{44} +(1.64306 + 0.440256i) q^{45} +(12.6328 + 3.38495i) q^{46} +(-5.99945 - 5.99945i) q^{47} +(18.4491 - 10.6516i) q^{48} +(-4.38135 - 5.45928i) q^{49} +(-3.21707 - 12.0063i) q^{50} -11.0471i q^{51} +(-11.2648 + 12.1327i) q^{52} +9.09347 q^{53} +(-2.27546 - 8.49214i) q^{54} +(1.25253 + 0.723149i) q^{55} +(5.84047 + 16.6086i) q^{56} +(-1.53563 - 1.53563i) q^{57} +(-1.33878 + 4.99638i) q^{58} +(-1.92316 + 7.17731i) q^{59} +(3.48750 - 3.48750i) q^{60} +(-2.40353 + 1.38768i) q^{61} +(-8.06384 + 13.9670i) q^{62} +(11.2645 - 0.861695i) q^{63} -2.11035i q^{64} +(-0.671556 + 1.26966i) q^{65} -25.1331i q^{66} +(-4.85858 + 1.30185i) q^{67} +(-16.2926 - 9.40656i) q^{68} +(-6.86740 - 11.8947i) q^{69} +(1.52782 + 2.23346i) q^{70} +(-0.582978 + 2.17570i) q^{71} +(-27.4456 - 7.35402i) q^{72} +(3.50176 + 3.50176i) q^{73} +(-2.30051 - 3.98460i) q^{74} +(-6.52679 + 11.3047i) q^{75} +(-3.57239 + 0.957219i) q^{76} +(9.44093 + 1.77118i) q^{77} +(24.9426 - 0.925283i) q^{78} -3.61967 q^{79} +(-0.814620 - 3.04020i) q^{80} +(1.78854 - 3.09785i) q^{81} +(2.86927 + 4.96972i) q^{82} +(-5.36774 + 5.36774i) q^{83} +(14.1668 - 29.5346i) q^{84} +(-1.57654 - 0.422432i) q^{85} +(5.55723 - 5.55723i) q^{86} +(4.70444 - 2.71611i) q^{87} +(-20.9222 - 12.0795i) q^{88} +(11.5425 - 3.09280i) q^{89} -4.36728 q^{90} +(-1.41019 + 9.43458i) q^{91} -23.3903 q^{92} +(16.3599 - 4.38363i) q^{93} +(18.8651 + 10.8918i) q^{94} +(-0.277872 + 0.160430i) q^{95} +(-13.3015 + 13.3015i) q^{96} +(7.71975 + 2.06850i) q^{97} +(14.4933 + 10.6274i) q^{98} +(-10.9620 + 10.9620i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} - 4q^{11} - 32q^{14} - 8q^{15} + 12q^{16} - 4q^{18} + 16q^{21} + 4q^{22} - 12q^{23} + 24q^{28} + 4q^{29} + 12q^{30} + 4q^{32} - 20q^{35} + 4q^{37} - 36q^{39} - 28q^{42} - 48q^{43} + 24q^{44} + 84q^{46} + 24q^{49} - 44q^{50} + 72q^{53} + 60q^{56} - 92q^{57} - 16q^{58} + 76q^{60} + 48q^{63} + 4q^{65} - 56q^{67} + 56q^{70} + 84q^{71} - 128q^{72} - 24q^{74} + 148q^{78} - 80q^{79} + 28q^{81} - 64q^{84} + 36q^{85} - 48q^{86} - 228q^{88} - 48q^{91} + 24q^{92} + 108q^{93} - 84q^{95} - 32q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{11}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.47996 + 0.664504i −1.75360 + 0.469875i −0.985388 0.170322i \(-0.945519\pi\)
−0.768211 + 0.640197i \(0.778853\pi\)
\(3\) 2.33506 + 1.34815i 1.34815 + 0.778353i 0.987987 0.154537i \(-0.0493887\pi\)
0.360160 + 0.932890i \(0.382722\pi\)
\(4\) 3.97660 2.29589i 1.98830 1.14795i
\(5\) 0.281686 0.281686i 0.125974 0.125974i −0.641309 0.767283i \(-0.721608\pi\)
0.767283 + 0.641309i \(0.221608\pi\)
\(6\) −6.68671 1.79170i −2.72984 0.731458i
\(7\) 1.14426 2.38551i 0.432488 0.901640i
\(8\) −4.70528 + 4.70528i −1.66357 + 1.66357i
\(9\) 2.13500 + 3.69793i 0.711667 + 1.23264i
\(10\) −0.511390 + 0.885754i −0.161716 + 0.280100i
\(11\) 0.939666 + 3.50688i 0.283320 + 1.05736i 0.950058 + 0.312072i \(0.101023\pi\)
−0.666738 + 0.745292i \(0.732310\pi\)
\(12\) 12.3808 3.57403
\(13\) −3.44571 + 1.06165i −0.955667 + 0.294449i
\(14\) −1.25253 + 6.67635i −0.334753 + 1.78433i
\(15\) 1.03751 0.278000i 0.267884 0.0717792i
\(16\) 3.95046 6.84240i 0.987615 1.71060i
\(17\) −2.04856 3.54822i −0.496850 0.860569i 0.503144 0.864203i \(-0.332177\pi\)
−0.999993 + 0.00363405i \(0.998843\pi\)
\(18\) −7.75202 7.75202i −1.82717 1.82717i
\(19\) −0.777996 0.208463i −0.178484 0.0478248i 0.168470 0.985707i \(-0.446117\pi\)
−0.346954 + 0.937882i \(0.612784\pi\)
\(20\) 0.473433 1.76688i 0.105863 0.395086i
\(21\) 5.88793 4.02769i 1.28485 0.878914i
\(22\) −4.66067 8.07252i −0.993659 1.72107i
\(23\) −4.41149 2.54698i −0.919860 0.531081i −0.0362693 0.999342i \(-0.511547\pi\)
−0.883590 + 0.468261i \(0.844881\pi\)
\(24\) −17.3305 + 4.64370i −3.53758 + 0.947891i
\(25\) 4.84131i 0.968261i
\(26\) 7.83976 4.92254i 1.53750 0.965390i
\(27\) 3.42430i 0.659007i
\(28\) −0.926631 12.1133i −0.175117 2.28920i
\(29\) 1.00735 1.74478i 0.187060 0.323998i −0.757209 0.653173i \(-0.773437\pi\)
0.944269 + 0.329175i \(0.106771\pi\)
\(30\) −2.38825 + 1.37886i −0.436033 + 0.251744i
\(31\) 4.44176 4.44176i 0.797764 0.797764i −0.184978 0.982743i \(-0.559221\pi\)
0.982743 + 0.184978i \(0.0592214\pi\)
\(32\) −1.80569 + 6.73893i −0.319204 + 1.19129i
\(33\) −2.53362 + 9.45558i −0.441046 + 1.64601i
\(34\) 7.43817 + 7.43817i 1.27563 + 1.27563i
\(35\) −0.349645 0.994288i −0.0591009 0.168065i
\(36\) 16.9801 + 9.80347i 2.83002 + 1.63391i
\(37\) 0.463819 + 1.73100i 0.0762514 + 0.284574i 0.993514 0.113708i \(-0.0362730\pi\)
−0.917263 + 0.398283i \(0.869606\pi\)
\(38\) 2.06793 0.335462
\(39\) −9.47719 2.16630i −1.51757 0.346886i
\(40\) 2.65083i 0.419133i
\(41\) −0.578490 2.15895i −0.0903449 0.337172i 0.905928 0.423432i \(-0.139175\pi\)
−0.996273 + 0.0862606i \(0.972508\pi\)
\(42\) −11.9254 + 13.9011i −1.84013 + 2.14498i
\(43\) −2.65096 + 1.53053i −0.404267 + 0.233404i −0.688323 0.725404i \(-0.741653\pi\)
0.284057 + 0.958808i \(0.408320\pi\)
\(44\) 11.7881 + 11.7881i 1.77712 + 1.77712i
\(45\) 1.64306 + 0.440256i 0.244933 + 0.0656295i
\(46\) 12.6328 + 3.38495i 1.86261 + 0.499084i
\(47\) −5.99945 5.99945i −0.875109 0.875109i 0.117914 0.993024i \(-0.462379\pi\)
−0.993024 + 0.117914i \(0.962379\pi\)
\(48\) 18.4491 10.6516i 2.66290 1.53743i
\(49\) −4.38135 5.45928i −0.625908 0.779897i
\(50\) −3.21707 12.0063i −0.454962 1.69794i
\(51\) 11.0471i 1.54690i
\(52\) −11.2648 + 12.1327i −1.56214 + 1.68251i
\(53\) 9.09347 1.24908 0.624542 0.780991i \(-0.285286\pi\)
0.624542 + 0.780991i \(0.285286\pi\)
\(54\) −2.27546 8.49214i −0.309651 1.15563i
\(55\) 1.25253 + 0.723149i 0.168891 + 0.0975094i
\(56\) 5.84047 + 16.6086i 0.780465 + 2.21941i
\(57\) −1.53563 1.53563i −0.203399 0.203399i
\(58\) −1.33878 + 4.99638i −0.175790 + 0.656057i
\(59\) −1.92316 + 7.17731i −0.250374 + 0.934407i 0.720232 + 0.693733i \(0.244035\pi\)
−0.970606 + 0.240674i \(0.922632\pi\)
\(60\) 3.48750 3.48750i 0.450235 0.450235i
\(61\) −2.40353 + 1.38768i −0.307741 + 0.177674i −0.645915 0.763409i \(-0.723524\pi\)
0.338174 + 0.941084i \(0.390191\pi\)
\(62\) −8.06384 + 13.9670i −1.02411 + 1.77381i
\(63\) 11.2645 0.861695i 1.41919 0.108563i
\(64\) 2.11035i 0.263794i
\(65\) −0.671556 + 1.26966i −0.0832963 + 0.157482i
\(66\) 25.1331i 3.09367i
\(67\) −4.85858 + 1.30185i −0.593570 + 0.159046i −0.543084 0.839678i \(-0.682744\pi\)
−0.0504855 + 0.998725i \(0.516077\pi\)
\(68\) −16.2926 9.40656i −1.97577 1.14071i
\(69\) −6.86740 11.8947i −0.826737 1.43195i
\(70\) 1.52782 + 2.23346i 0.182609 + 0.266949i
\(71\) −0.582978 + 2.17570i −0.0691867 + 0.258208i −0.991852 0.127393i \(-0.959339\pi\)
0.922666 + 0.385601i \(0.126006\pi\)
\(72\) −27.4456 7.35402i −3.23449 0.866680i
\(73\) 3.50176 + 3.50176i 0.409850 + 0.409850i 0.881686 0.471836i \(-0.156409\pi\)
−0.471836 + 0.881686i \(0.656409\pi\)
\(74\) −2.30051 3.98460i −0.267429 0.463200i
\(75\) −6.52679 + 11.3047i −0.753649 + 1.30536i
\(76\) −3.57239 + 0.957219i −0.409781 + 0.109801i
\(77\) 9.44093 + 1.77118i 1.07589 + 0.201845i
\(78\) 24.9426 0.925283i 2.82419 0.104768i
\(79\) −3.61967 −0.407245 −0.203622 0.979050i \(-0.565271\pi\)
−0.203622 + 0.979050i \(0.565271\pi\)
\(80\) −0.814620 3.04020i −0.0910772 0.339905i
\(81\) 1.78854 3.09785i 0.198727 0.344205i
\(82\) 2.86927 + 4.96972i 0.316857 + 0.548813i
\(83\) −5.36774 + 5.36774i −0.589186 + 0.589186i −0.937411 0.348225i \(-0.886785\pi\)
0.348225 + 0.937411i \(0.386785\pi\)
\(84\) 14.1668 29.5346i 1.54573 3.22249i
\(85\) −1.57654 0.422432i −0.170999 0.0458191i
\(86\) 5.55723 5.55723i 0.599251 0.599251i
\(87\) 4.70444 2.71611i 0.504369 0.291198i
\(88\) −20.9222 12.0795i −2.23032 1.28768i
\(89\) 11.5425 3.09280i 1.22350 0.327836i 0.411454 0.911430i \(-0.365021\pi\)
0.812045 + 0.583595i \(0.198354\pi\)
\(90\) −4.36728 −0.460351
\(91\) −1.41019 + 9.43458i −0.147828 + 0.989013i
\(92\) −23.3903 −2.43861
\(93\) 16.3599 4.38363i 1.69645 0.454561i
\(94\) 18.8651 + 10.8918i 1.94578 + 1.12340i
\(95\) −0.277872 + 0.160430i −0.0285091 + 0.0164597i
\(96\) −13.3015 + 13.3015i −1.35758 + 1.35758i
\(97\) 7.71975 + 2.06850i 0.783822 + 0.210024i 0.628469 0.777835i \(-0.283682\pi\)
0.155353 + 0.987859i \(0.450349\pi\)
\(98\) 14.4933 + 10.6274i 1.46405 + 1.07353i
\(99\) −10.9620 + 10.9620i −1.10172 + 1.10172i
\(100\) 11.1151 + 19.2519i 1.11151 + 1.92519i
\(101\) 2.25123 3.89924i 0.224005 0.387989i −0.732015 0.681288i \(-0.761420\pi\)
0.956021 + 0.293300i \(0.0947533\pi\)
\(102\) 7.34082 + 27.3963i 0.726849 + 2.71264i
\(103\) −16.1000 −1.58638 −0.793192 0.608971i \(-0.791582\pi\)
−0.793192 + 0.608971i \(0.791582\pi\)
\(104\) 11.2177 21.2084i 1.09998 2.07965i
\(105\) 0.524004 2.79310i 0.0511376 0.272578i
\(106\) −22.5515 + 6.04265i −2.19039 + 0.586914i
\(107\) 5.40840 9.36762i 0.522850 0.905602i −0.476797 0.879014i \(-0.658202\pi\)
0.999646 0.0265887i \(-0.00846443\pi\)
\(108\) 7.86183 + 13.6171i 0.756505 + 1.31030i
\(109\) 2.35784 + 2.35784i 0.225841 + 0.225841i 0.810953 0.585112i \(-0.198949\pi\)
−0.585112 + 0.810953i \(0.698949\pi\)
\(110\) −3.58677 0.961072i −0.341985 0.0916346i
\(111\) −1.25059 + 4.66728i −0.118701 + 0.442998i
\(112\) −11.8023 17.2533i −1.11521 1.63029i
\(113\) 3.82032 + 6.61699i 0.359386 + 0.622474i 0.987858 0.155357i \(-0.0496529\pi\)
−0.628473 + 0.777832i \(0.716320\pi\)
\(114\) 4.82873 + 2.78787i 0.452252 + 0.261108i
\(115\) −1.96011 + 0.525209i −0.182781 + 0.0489760i
\(116\) 9.25107i 0.858940i
\(117\) −11.2825 10.4754i −1.04307 0.968447i
\(118\) 19.0774i 1.75622i
\(119\) −10.8084 + 0.826808i −0.990804 + 0.0757934i
\(120\) −3.57371 + 6.18984i −0.326233 + 0.565052i
\(121\) −1.88896 + 1.09059i −0.171723 + 0.0991446i
\(122\) 5.03856 5.03856i 0.456169 0.456169i
\(123\) 1.55978 5.82117i 0.140640 0.524877i
\(124\) 7.46532 27.8609i 0.670405 2.50199i
\(125\) 2.77216 + 2.77216i 0.247950 + 0.247950i
\(126\) −27.3628 + 9.62225i −2.43768 + 0.857218i
\(127\) 10.8931 + 6.28911i 0.966602 + 0.558068i 0.898199 0.439590i \(-0.144876\pi\)
0.0684037 + 0.997658i \(0.478209\pi\)
\(128\) −2.20905 8.24427i −0.195254 0.728697i
\(129\) −8.25352 −0.726682
\(130\) 0.821740 3.59497i 0.0720713 0.315299i
\(131\) 11.7715i 1.02848i 0.857646 + 0.514241i \(0.171926\pi\)
−0.857646 + 0.514241i \(0.828074\pi\)
\(132\) 11.6338 + 43.4180i 1.01259 + 3.77905i
\(133\) −1.38752 + 1.61738i −0.120313 + 0.140245i
\(134\) 11.1840 6.45709i 0.966151 0.557808i
\(135\) 0.964579 + 0.964579i 0.0830177 + 0.0830177i
\(136\) 26.3344 + 7.05628i 2.25816 + 0.605071i
\(137\) −12.5772 3.37005i −1.07454 0.287923i −0.322184 0.946677i \(-0.604417\pi\)
−0.752358 + 0.658754i \(0.771084\pi\)
\(138\) 24.9350 + 24.9350i 2.12260 + 2.12260i
\(139\) −7.49780 + 4.32886i −0.635955 + 0.367169i −0.783055 0.621953i \(-0.786340\pi\)
0.147099 + 0.989122i \(0.453006\pi\)
\(140\) −3.67318 3.15114i −0.310440 0.266320i
\(141\) −5.92093 22.0972i −0.498632 1.86092i
\(142\) 5.78305i 0.485303i
\(143\) −6.96090 11.0861i −0.582099 0.927065i
\(144\) 33.7370 2.81141
\(145\) −0.207724 0.775238i −0.0172506 0.0643800i
\(146\) −11.0112 6.35730i −0.911291 0.526134i
\(147\) −2.87081 18.6545i −0.236781 1.53859i
\(148\) 5.81861 + 5.81861i 0.478287 + 0.478287i
\(149\) −4.83483 + 18.0438i −0.396085 + 1.47821i 0.423840 + 0.905737i \(0.360682\pi\)
−0.819925 + 0.572471i \(0.805985\pi\)
\(150\) 8.67416 32.3724i 0.708242 2.64320i
\(151\) 9.94985 9.94985i 0.809707 0.809707i −0.174882 0.984589i \(-0.555954\pi\)
0.984589 + 0.174882i \(0.0559544\pi\)
\(152\) 4.64157 2.67981i 0.376481 0.217361i
\(153\) 8.74737 15.1509i 0.707183 1.22488i
\(154\) −24.5901 + 1.88107i −1.98153 + 0.151581i
\(155\) 2.50237i 0.200995i
\(156\) −42.6606 + 13.1441i −3.41558 + 1.05237i
\(157\) 14.0101i 1.11813i 0.829124 + 0.559064i \(0.188840\pi\)
−0.829124 + 0.559064i \(0.811160\pi\)
\(158\) 8.97665 2.40529i 0.714144 0.191354i
\(159\) 21.2338 + 12.2593i 1.68395 + 0.972229i
\(160\) 1.38963 + 2.40690i 0.109860 + 0.190282i
\(161\) −11.1237 + 7.60928i −0.876672 + 0.599695i
\(162\) −2.37699 + 8.87104i −0.186754 + 0.696975i
\(163\) −9.15502 2.45308i −0.717076 0.192140i −0.118210 0.992989i \(-0.537715\pi\)
−0.598867 + 0.800849i \(0.704382\pi\)
\(164\) −7.25715 7.25715i −0.566688 0.566688i
\(165\) 1.94982 + 3.37719i 0.151794 + 0.262914i
\(166\) 9.74492 16.8787i 0.756353 1.31004i
\(167\) 9.41229 2.52202i 0.728345 0.195159i 0.124453 0.992226i \(-0.460282\pi\)
0.603892 + 0.797066i \(0.293616\pi\)
\(168\) −8.75295 + 46.6558i −0.675305 + 3.59957i
\(169\) 10.7458 7.31628i 0.826600 0.562790i
\(170\) 4.19046 0.321394
\(171\) −0.890139 3.32204i −0.0680706 0.254043i
\(172\) −7.02786 + 12.1726i −0.535870 + 0.928153i
\(173\) 8.50332 + 14.7282i 0.646496 + 1.11976i 0.983954 + 0.178423i \(0.0570995\pi\)
−0.337458 + 0.941341i \(0.609567\pi\)
\(174\) −9.86198 + 9.86198i −0.747635 + 0.747635i
\(175\) 11.5490 + 5.53969i 0.873023 + 0.418762i
\(176\) 27.7076 + 7.42423i 2.08854 + 0.559622i
\(177\) −14.1668 + 14.1668i −1.06484 + 1.06484i
\(178\) −26.5697 + 15.3400i −1.99149 + 1.14978i
\(179\) 9.41215 + 5.43411i 0.703497 + 0.406164i 0.808649 0.588292i \(-0.200199\pi\)
−0.105152 + 0.994456i \(0.533533\pi\)
\(180\) 7.54457 2.02156i 0.562339 0.150678i
\(181\) 20.7716 1.54394 0.771969 0.635661i \(-0.219272\pi\)
0.771969 + 0.635661i \(0.219272\pi\)
\(182\) −2.77210 24.3345i −0.205482 1.80379i
\(183\) −7.48319 −0.553173
\(184\) 32.7415 8.77307i 2.41374 0.646759i
\(185\) 0.618250 + 0.356947i 0.0454546 + 0.0262432i
\(186\) −37.6591 + 21.7425i −2.76130 + 1.59424i
\(187\) 10.5182 10.5182i 0.769167 0.769167i
\(188\) −37.6315 10.0833i −2.74456 0.735402i
\(189\) 8.16872 + 3.91828i 0.594187 + 0.285013i
\(190\) 0.582507 0.582507i 0.0422595 0.0422595i
\(191\) −0.742192 1.28551i −0.0537031 0.0930165i 0.837924 0.545787i \(-0.183769\pi\)
−0.891627 + 0.452770i \(0.850436\pi\)
\(192\) 2.84506 4.92779i 0.205325 0.355633i
\(193\) −1.90039 7.09237i −0.136793 0.510520i −0.999984 0.00564177i \(-0.998204\pi\)
0.863191 0.504878i \(-0.168463\pi\)
\(194\) −20.5192 −1.47319
\(195\) −3.27981 + 2.05938i −0.234872 + 0.147475i
\(196\) −29.9568 11.6503i −2.13977 0.832162i
\(197\) 17.4416 4.67347i 1.24266 0.332971i 0.423166 0.906052i \(-0.360919\pi\)
0.819499 + 0.573081i \(0.194252\pi\)
\(198\) 19.9011 34.4697i 1.41431 2.44965i
\(199\) −1.63076 2.82456i −0.115602 0.200228i 0.802418 0.596762i \(-0.203546\pi\)
−0.918020 + 0.396534i \(0.870213\pi\)
\(200\) −22.7797 22.7797i −1.61077 1.61077i
\(201\) −13.1002 3.51017i −0.924013 0.247589i
\(202\) −2.99190 + 11.1659i −0.210509 + 0.785631i
\(203\) −3.00953 4.39952i −0.211228 0.308786i
\(204\) −25.3629 43.9298i −1.77576 3.07570i
\(205\) −0.771100 0.445195i −0.0538560 0.0310938i
\(206\) 39.9275 10.6985i 2.78188 0.745403i
\(207\) 21.7512i 1.51181i
\(208\) −6.34789 + 27.7709i −0.440147 + 1.92557i
\(209\) 2.92422i 0.202273i
\(210\) 0.556513 + 7.27498i 0.0384030 + 0.502021i
\(211\) 1.10904 1.92091i 0.0763492 0.132241i −0.825323 0.564661i \(-0.809007\pi\)
0.901672 + 0.432420i \(0.142340\pi\)
\(212\) 36.1611 20.8776i 2.48356 1.43388i
\(213\) −4.29445 + 4.29445i −0.294251 + 0.294251i
\(214\) −7.18781 + 26.8253i −0.491348 + 1.83374i
\(215\) −0.315609 + 1.17787i −0.0215243 + 0.0803299i
\(216\) −16.1123 16.1123i −1.09630 1.09630i
\(217\) −5.51337 15.6784i −0.374272 1.06432i
\(218\) −7.41417 4.28057i −0.502151 0.289917i
\(219\) 3.45593 + 12.8977i 0.233530 + 0.871546i
\(220\) 6.64109 0.447742
\(221\) 10.8257 + 10.0513i 0.728216 + 0.676120i
\(222\) 12.4057i 0.832616i
\(223\) −1.40793 5.25448i −0.0942823 0.351866i 0.902627 0.430423i \(-0.141636\pi\)
−0.996910 + 0.0785566i \(0.974969\pi\)
\(224\) 14.0096 + 12.0186i 0.936059 + 0.803024i
\(225\) −17.9028 + 10.3362i −1.19352 + 0.689080i
\(226\) −13.8713 13.8713i −0.922704 0.922704i
\(227\) 0.334926 + 0.0897430i 0.0222298 + 0.00595646i 0.269917 0.962884i \(-0.413004\pi\)
−0.247687 + 0.968840i \(0.579670\pi\)
\(228\) −9.63221 2.58094i −0.637909 0.170927i
\(229\) −18.7465 18.7465i −1.23880 1.23880i −0.960491 0.278312i \(-0.910225\pi\)
−0.278312 0.960491i \(-0.589775\pi\)
\(230\) 4.51199 2.60500i 0.297512 0.171768i
\(231\) 19.6573 + 16.8636i 1.29336 + 1.10954i
\(232\) 3.46982 + 12.9496i 0.227805 + 0.850180i
\(233\) 21.8266i 1.42991i 0.699173 + 0.714953i \(0.253552\pi\)
−0.699173 + 0.714953i \(0.746448\pi\)
\(234\) 34.9411 + 18.4812i 2.28417 + 1.20816i
\(235\) −3.37993 −0.220482
\(236\) 8.83072 + 32.9567i 0.574831 + 2.14530i
\(237\) −8.45215 4.87985i −0.549026 0.316980i
\(238\) 26.2550 9.23268i 1.70186 0.598466i
\(239\) 2.02192 + 2.02192i 0.130787 + 0.130787i 0.769470 0.638683i \(-0.220520\pi\)
−0.638683 + 0.769470i \(0.720520\pi\)
\(240\) 2.19645 8.19728i 0.141781 0.529132i
\(241\) −7.81005 + 29.1475i −0.503090 + 1.87756i −0.0241515 + 0.999708i \(0.507688\pi\)
−0.478938 + 0.877849i \(0.658978\pi\)
\(242\) 3.95985 3.95985i 0.254549 0.254549i
\(243\) 17.2493 9.95889i 1.10654 0.638863i
\(244\) −6.37193 + 11.0365i −0.407921 + 0.706540i
\(245\) −2.77197 0.303637i −0.177095 0.0193986i
\(246\) 15.4728i 0.986508i
\(247\) 2.90206 0.107656i 0.184654 0.00685001i
\(248\) 41.7995i 2.65427i
\(249\) −19.7705 + 5.29749i −1.25291 + 0.335715i
\(250\) −8.71697 5.03275i −0.551310 0.318299i
\(251\) −8.33953 14.4445i −0.526386 0.911728i −0.999527 0.0307412i \(-0.990213\pi\)
0.473141 0.880987i \(-0.343120\pi\)
\(252\) 42.8159 29.2886i 2.69715 1.84501i
\(253\) 4.78661 17.8639i 0.300932 1.12309i
\(254\) −31.1935 8.35828i −1.95726 0.524445i
\(255\) −3.11181 3.11181i −0.194869 0.194869i
\(256\) 13.0671 + 22.6328i 0.816691 + 1.41455i
\(257\) −6.10569 + 10.5754i −0.380863 + 0.659674i −0.991186 0.132479i \(-0.957706\pi\)
0.610323 + 0.792153i \(0.291040\pi\)
\(258\) 20.4684 5.48450i 1.27431 0.341450i
\(259\) 4.66005 + 0.874257i 0.289561 + 0.0543237i
\(260\) 0.244494 + 6.59076i 0.0151629 + 0.408742i
\(261\) 8.60277 0.532498
\(262\) −7.82222 29.1929i −0.483258 1.80354i
\(263\) −7.30314 + 12.6494i −0.450331 + 0.779996i −0.998406 0.0564328i \(-0.982027\pi\)
0.548075 + 0.836429i \(0.315361\pi\)
\(264\) −32.5698 56.4125i −2.00453 3.47195i
\(265\) 2.56151 2.56151i 0.157352 0.157352i
\(266\) 2.36624 4.93307i 0.145083 0.302466i
\(267\) 31.1219 + 8.33909i 1.90463 + 0.510344i
\(268\) −16.3317 + 16.3317i −0.997618 + 0.997618i
\(269\) −4.31634 + 2.49204i −0.263172 + 0.151942i −0.625781 0.779999i \(-0.715219\pi\)
0.362609 + 0.931941i \(0.381886\pi\)
\(270\) −3.03309 1.75115i −0.184588 0.106572i
\(271\) −25.5915 + 6.85721i −1.55457 + 0.416546i −0.930940 0.365173i \(-0.881010\pi\)
−0.623631 + 0.781719i \(0.714343\pi\)
\(272\) −32.3711 −1.96278
\(273\) −16.0121 + 20.1292i −0.969095 + 1.21827i
\(274\) 33.4304 2.01960
\(275\) −16.9779 + 4.54921i −1.02380 + 0.274328i
\(276\) −54.6178 31.5336i −3.28761 1.89810i
\(277\) 17.6881 10.2122i 1.06277 0.613592i 0.136574 0.990630i \(-0.456391\pi\)
0.926198 + 0.377038i \(0.123057\pi\)
\(278\) 15.7177 15.7177i 0.942687 0.942687i
\(279\) 25.9085 + 6.94216i 1.55110 + 0.415617i
\(280\) 6.32359 + 3.03323i 0.377907 + 0.181270i
\(281\) −3.86728 + 3.86728i −0.230703 + 0.230703i −0.812986 0.582283i \(-0.802159\pi\)
0.582283 + 0.812986i \(0.302159\pi\)
\(282\) 29.3674 + 50.8658i 1.74880 + 3.02901i
\(283\) 12.5189 21.6835i 0.744174 1.28895i −0.206405 0.978467i \(-0.566177\pi\)
0.950580 0.310481i \(-0.100490\pi\)
\(284\) 2.67691 + 9.99036i 0.158845 + 0.592819i
\(285\) −0.865131 −0.0512459
\(286\) 24.6295 + 22.8675i 1.45637 + 1.35219i
\(287\) −5.81215 1.09040i −0.343081 0.0643643i
\(288\) −28.7753 + 7.71031i −1.69560 + 0.454334i
\(289\) 0.106779 0.184946i 0.00628111 0.0108792i
\(290\) 1.03030 + 1.78453i 0.0605012 + 0.104791i
\(291\) 15.2374 + 15.2374i 0.893234 + 0.893234i
\(292\) 21.9648 + 5.88544i 1.28539 + 0.344420i
\(293\) 4.77690 17.8276i 0.279069 1.04150i −0.673996 0.738735i \(-0.735423\pi\)
0.953065 0.302766i \(-0.0979100\pi\)
\(294\) 19.5155 + 44.3547i 1.13817 + 2.58682i
\(295\) 1.48003 + 2.56348i 0.0861704 + 0.149251i
\(296\) −10.3272 5.96243i −0.600258 0.346559i
\(297\) −12.0086 + 3.21770i −0.696810 + 0.186710i
\(298\) 47.9608i 2.77829i
\(299\) 17.9047 + 4.09267i 1.03546 + 0.236685i
\(300\) 59.9393i 3.46059i
\(301\) 0.617728 + 8.07521i 0.0356052 + 0.465447i
\(302\) −18.0636 + 31.2870i −1.03944 + 1.80036i
\(303\) 10.5135 6.06997i 0.603985 0.348711i
\(304\) −4.49983 + 4.49983i −0.258083 + 0.258083i
\(305\) −0.286152 + 1.06793i −0.0163850 + 0.0611497i
\(306\) −11.6253 + 43.3863i −0.664576 + 2.48023i
\(307\) 14.6697 + 14.6697i 0.837243 + 0.837243i 0.988495 0.151252i \(-0.0483305\pi\)
−0.151252 + 0.988495i \(0.548330\pi\)
\(308\) 41.6093 14.6321i 2.37091 0.833739i
\(309\) −37.5946 21.7052i −2.13868 1.23477i
\(310\) 1.66284 + 6.20579i 0.0944427 + 0.352465i
\(311\) −5.86149 −0.332374 −0.166187 0.986094i \(-0.553146\pi\)
−0.166187 + 0.986094i \(0.553146\pi\)
\(312\) 54.7859 34.3998i 3.10164 1.94750i
\(313\) 20.4076i 1.15351i −0.816918 0.576754i \(-0.804319\pi\)
0.816918 0.576754i \(-0.195681\pi\)
\(314\) −9.30978 34.7446i −0.525381 1.96075i
\(315\) 2.93032 3.41577i 0.165105 0.192457i
\(316\) −14.3940 + 8.31037i −0.809725 + 0.467495i
\(317\) −5.42384 5.42384i −0.304633 0.304633i 0.538190 0.842824i \(-0.319108\pi\)
−0.842824 + 0.538190i \(0.819108\pi\)
\(318\) −60.8054 16.2928i −3.40980 0.913653i
\(319\) 7.06531 + 1.89314i 0.395582 + 0.105996i
\(320\) −0.594457 0.594457i −0.0332312 0.0332312i
\(321\) 25.2579 14.5826i 1.40976 0.813923i
\(322\) 22.5300 26.2625i 1.25555 1.46355i
\(323\) 0.854101 + 3.18755i 0.0475234 + 0.177360i
\(324\) 16.4252i 0.912512i
\(325\) −5.13978 16.6817i −0.285103 0.925335i
\(326\) 24.3342 1.34775
\(327\) 2.32699 + 8.68443i 0.128683 + 0.480250i
\(328\) 12.8804 + 7.43652i 0.711203 + 0.410613i
\(329\) −21.1767 + 7.44686i −1.16751 + 0.410559i
\(330\) −7.07965 7.07965i −0.389722 0.389722i
\(331\) 6.52453 24.3499i 0.358621 1.33839i −0.517246 0.855837i \(-0.673043\pi\)
0.875866 0.482554i \(-0.160291\pi\)
\(332\) −9.02162 + 33.6691i −0.495126 + 1.84783i
\(333\) −5.41085 + 5.41085i −0.296513 + 0.296513i
\(334\) −21.6662 + 12.5090i −1.18552 + 0.684463i
\(335\) −1.00188 + 1.73531i −0.0547386 + 0.0948100i
\(336\) −4.29903 56.1988i −0.234531 3.06590i
\(337\) 30.1306i 1.64132i 0.571417 + 0.820660i \(0.306394\pi\)
−0.571417 + 0.820660i \(0.693606\pi\)
\(338\) −21.7875 + 25.2847i −1.18508 + 1.37531i
\(339\) 20.6014i 1.11892i
\(340\) −7.23912 + 1.93972i −0.392596 + 0.105196i
\(341\) 19.7505 + 11.4030i 1.06955 + 0.617505i
\(342\) 4.41503 + 7.64705i 0.238737 + 0.413505i
\(343\) −18.0366 + 4.20497i −0.973884 + 0.227047i
\(344\) 5.27192 19.6751i 0.284243 1.06081i
\(345\) −5.28502 1.41612i −0.284536 0.0762412i
\(346\) −30.8749 30.8749i −1.65984 1.65984i
\(347\) −17.2300 29.8433i −0.924957 1.60207i −0.791631 0.611000i \(-0.790768\pi\)
−0.133326 0.991072i \(-0.542566\pi\)
\(348\) 12.4718 21.6018i 0.668559 1.15798i
\(349\) −3.97028 + 1.06383i −0.212524 + 0.0569457i −0.363510 0.931590i \(-0.618422\pi\)
0.150986 + 0.988536i \(0.451755\pi\)
\(350\) −32.3223 6.06388i −1.72770 0.324128i
\(351\) −3.63541 11.7991i −0.194044 0.629791i
\(352\) −25.3294 −1.35006
\(353\) 2.81747 + 10.5149i 0.149959 + 0.559653i 0.999484 + 0.0321060i \(0.0102214\pi\)
−0.849526 + 0.527547i \(0.823112\pi\)
\(354\) 25.7192 44.5469i 1.36696 2.36764i
\(355\) 0.448649 + 0.777083i 0.0238118 + 0.0412433i
\(356\) 38.7991 38.7991i 2.05635 2.05635i
\(357\) −26.3529 12.6407i −1.39474 0.669015i
\(358\) −26.9528 7.22197i −1.42450 0.381693i
\(359\) 21.7659 21.7659i 1.14876 1.14876i 0.161963 0.986797i \(-0.448218\pi\)
0.986797 0.161963i \(-0.0517824\pi\)
\(360\) −9.80258 + 5.65952i −0.516641 + 0.298283i
\(361\) −15.8927 9.17563i −0.836456 0.482928i
\(362\) −51.5127 + 13.8028i −2.70745 + 0.725458i
\(363\) −5.88111 −0.308678
\(364\) 16.0530 + 40.7552i 0.841407 + 2.13615i
\(365\) 1.97280 0.103261
\(366\) 18.5580 4.97261i 0.970044 0.259923i
\(367\) −21.5968 12.4689i −1.12734 0.650873i −0.184079 0.982912i \(-0.558930\pi\)
−0.943266 + 0.332039i \(0.892263\pi\)
\(368\) −34.8548 + 20.1235i −1.81693 + 1.04901i
\(369\) 6.74858 6.74858i 0.351317 0.351317i
\(370\) −1.77043 0.474385i −0.0920403 0.0246621i
\(371\) 10.4053 21.6926i 0.540214 1.12622i
\(372\) 54.9926 54.9926i 2.85123 2.85123i
\(373\) −9.09462 15.7523i −0.470902 0.815626i 0.528544 0.848906i \(-0.322738\pi\)
−0.999446 + 0.0332801i \(0.989405\pi\)
\(374\) −19.0954 + 33.0741i −0.987398 + 1.71022i
\(375\) 2.73588 + 10.2104i 0.141280 + 0.527265i
\(376\) 56.4582 2.91161
\(377\) −1.61868 + 7.08146i −0.0833665 + 0.364714i
\(378\) −22.8618 4.28904i −1.17589 0.220604i
\(379\) −0.810924 + 0.217286i −0.0416544 + 0.0111613i −0.279586 0.960121i \(-0.590197\pi\)
0.237932 + 0.971282i \(0.423531\pi\)
\(380\) −0.736658 + 1.27593i −0.0377898 + 0.0654538i
\(381\) 16.9573 + 29.3709i 0.868748 + 1.50472i
\(382\) 2.69484 + 2.69484i 0.137880 + 0.137880i
\(383\) −5.60755 1.50254i −0.286532 0.0767761i 0.112690 0.993630i \(-0.464053\pi\)
−0.399223 + 0.916854i \(0.630720\pi\)
\(384\) 5.95624 22.2290i 0.303953 1.13437i
\(385\) 3.15830 2.16046i 0.160962 0.110107i
\(386\) 9.42582 + 16.3260i 0.479761 + 0.830971i
\(387\) −11.3196 6.53537i −0.575407 0.332211i
\(388\) 35.4474 9.49811i 1.79957 0.482194i
\(389\) 8.72624i 0.442438i 0.975224 + 0.221219i \(0.0710036\pi\)
−0.975224 + 0.221219i \(0.928996\pi\)
\(390\) 6.76535 7.28663i 0.342577 0.368973i
\(391\) 20.8706i 1.05547i
\(392\) 46.3029 + 5.07194i 2.33865 + 0.256172i
\(393\) −15.8697 + 27.4872i −0.800522 + 1.38654i
\(394\) −40.1491 + 23.1801i −2.02268 + 1.16780i
\(395\) −1.01961 + 1.01961i −0.0513022 + 0.0513022i
\(396\) −18.4240 + 68.7592i −0.925839 + 3.45528i
\(397\) −0.0550441 + 0.205427i −0.00276258 + 0.0103101i −0.967293 0.253660i \(-0.918365\pi\)
0.964531 + 0.263970i \(0.0850321\pi\)
\(398\) 5.92117 + 5.92117i 0.296801 + 0.296801i
\(399\) −5.42041 + 1.90611i −0.271360 + 0.0954248i
\(400\) 33.1261 + 19.1254i 1.65631 + 0.956269i
\(401\) −1.81652 6.77934i −0.0907126 0.338544i 0.905622 0.424086i \(-0.139405\pi\)
−0.996335 + 0.0855419i \(0.972738\pi\)
\(402\) 34.8204 1.73668
\(403\) −10.5894 + 20.0206i −0.527496 + 0.997298i
\(404\) 20.6743i 1.02858i
\(405\) −0.368813 1.37643i −0.0183265 0.0683953i
\(406\) 10.3870 + 8.91081i 0.515500 + 0.442236i
\(407\) −5.63456 + 3.25312i −0.279295 + 0.161251i
\(408\) 51.9795 + 51.9795i 2.57337 + 2.57337i
\(409\) 10.3417 + 2.77106i 0.511366 + 0.137020i 0.505270 0.862961i \(-0.331393\pi\)
0.00609589 + 0.999981i \(0.498060\pi\)
\(410\) 2.20813 + 0.591668i 0.109052 + 0.0292204i
\(411\) −24.8252 24.8252i −1.22454 1.22454i
\(412\) −64.0235 + 36.9640i −3.15421 + 1.82108i
\(413\) 14.9210 + 12.8004i 0.734214 + 0.629867i
\(414\) 14.4538 + 53.9421i 0.710363 + 2.65111i
\(415\) 3.02404i 0.148444i
\(416\) −0.932509 25.1374i −0.0457200 1.23246i
\(417\) −23.3438 −1.14315
\(418\) 1.94316 + 7.25197i 0.0950430 + 0.354705i
\(419\) 0.903448 + 0.521606i 0.0441363 + 0.0254821i 0.521906 0.853003i \(-0.325221\pi\)
−0.477769 + 0.878485i \(0.658555\pi\)
\(420\) −4.32889 12.3101i −0.211228 0.600671i
\(421\) −22.9876 22.9876i −1.12035 1.12035i −0.991689 0.128658i \(-0.958933\pi\)
−0.128658 0.991689i \(-0.541067\pi\)
\(422\) −1.47392 + 5.50074i −0.0717492 + 0.267772i
\(423\) 9.37671 34.9944i 0.455911 1.70148i
\(424\) −42.7873 + 42.7873i −2.07794 + 2.07794i
\(425\) 17.1780 9.91772i 0.833255 0.481080i
\(426\) 7.79641 13.5038i 0.377737 0.654260i
\(427\) 0.560073 + 7.32152i 0.0271038 + 0.354313i
\(428\) 49.6684i 2.40081i
\(429\) −1.30843 35.2710i −0.0631716 1.70290i
\(430\) 3.13079i 0.150980i
\(431\) 7.90477 2.11808i 0.380760 0.102024i −0.0633623 0.997991i \(-0.520182\pi\)
0.444122 + 0.895966i \(0.353516\pi\)
\(432\) 23.4304 + 13.5276i 1.12730 + 0.650845i
\(433\) 9.95068 + 17.2351i 0.478199 + 0.828266i 0.999688 0.0249929i \(-0.00795632\pi\)
−0.521488 + 0.853258i \(0.674623\pi\)
\(434\) 24.0913 + 35.2182i 1.15642 + 1.69053i
\(435\) 0.560086 2.09027i 0.0268541 0.100221i
\(436\) 14.7896 + 3.96285i 0.708292 + 0.189786i
\(437\) 2.90117 + 2.90117i 0.138782 + 0.138782i
\(438\) −17.1412 29.6894i −0.819036 1.41861i
\(439\) −3.63272 + 6.29205i −0.173380 + 0.300303i −0.939599 0.342276i \(-0.888802\pi\)
0.766219 + 0.642579i \(0.222136\pi\)
\(440\) −9.29613 + 2.49089i −0.443176 + 0.118749i
\(441\) 10.8338 27.8575i 0.515897 1.32655i
\(442\) −33.5265 17.7330i −1.59469 0.843473i
\(443\) 26.5617 1.26198 0.630992 0.775789i \(-0.282648\pi\)
0.630992 + 0.775789i \(0.282648\pi\)
\(444\) 5.74246 + 21.4311i 0.272525 + 1.01708i
\(445\) 2.38016 4.12255i 0.112830 0.195428i
\(446\) 6.98325 + 12.0954i 0.330667 + 0.572731i
\(447\) −35.6153 + 35.6153i −1.68455 + 1.68455i
\(448\) −5.03427 2.41478i −0.237847 0.114088i
\(449\) 19.1518 + 5.13170i 0.903828 + 0.242180i 0.680659 0.732600i \(-0.261693\pi\)
0.223168 + 0.974780i \(0.428360\pi\)
\(450\) 37.5299 37.5299i 1.76918 1.76918i
\(451\) 7.02760 4.05739i 0.330917 0.191055i
\(452\) 30.3838 + 17.5421i 1.42913 + 0.825111i
\(453\) 36.6474 9.81963i 1.72184 0.461366i
\(454\) −0.890238 −0.0417809
\(455\) 2.26036 + 3.05483i 0.105967 + 0.143212i
\(456\) 14.4511 0.676735
\(457\) 24.2444 6.49628i 1.13411 0.303883i 0.357528 0.933903i \(-0.383620\pi\)
0.776579 + 0.630019i \(0.216953\pi\)
\(458\) 58.9477 + 34.0335i 2.75445 + 1.59028i
\(459\) 12.1502 7.01490i 0.567121 0.327427i
\(460\) −6.58874 + 6.58874i −0.307201 + 0.307201i
\(461\) −32.6719 8.75440i −1.52168 0.407733i −0.601386 0.798959i \(-0.705385\pi\)
−0.920295 + 0.391226i \(0.872051\pi\)
\(462\) −59.9554 28.7587i −2.78938 1.33798i
\(463\) 13.6651 13.6651i 0.635073 0.635073i −0.314263 0.949336i \(-0.601757\pi\)
0.949336 + 0.314263i \(0.101757\pi\)
\(464\) −7.95899 13.7854i −0.369487 0.639970i
\(465\) 3.37356 5.84318i 0.156445 0.270971i
\(466\) −14.5038 54.1291i −0.671877 2.50748i
\(467\) 15.1526 0.701178 0.350589 0.936529i \(-0.385981\pi\)
0.350589 + 0.936529i \(0.385981\pi\)
\(468\) −68.9163 15.7529i −3.18566 0.728180i
\(469\) −2.45387 + 13.0799i −0.113309 + 0.603972i
\(470\) 8.38209 2.24597i 0.386637 0.103599i
\(471\) −18.8877 + 32.7145i −0.870299 + 1.50740i
\(472\) −24.7223 42.8203i −1.13794 1.97096i
\(473\) −7.85840 7.85840i −0.361329 0.361329i
\(474\) 24.2037 + 6.48536i 1.11171 + 0.297882i
\(475\) 1.00923 3.76652i 0.0463069 0.172820i
\(476\) −41.0824 + 28.1028i −1.88301 + 1.28809i
\(477\) 19.4146 + 33.6270i 0.888932 + 1.53968i
\(478\) −6.35787 3.67072i −0.290802 0.167895i
\(479\) −24.2829 + 6.50658i −1.10951 + 0.297293i −0.766633 0.642086i \(-0.778069\pi\)
−0.342881 + 0.939379i \(0.611403\pi\)
\(480\) 7.49368i 0.342038i
\(481\) −3.43590 5.47209i −0.156664 0.249506i
\(482\) 77.4746i 3.52887i
\(483\) −36.2330 + 2.77171i −1.64866 + 0.126117i
\(484\) −5.00776 + 8.67369i −0.227625 + 0.394259i
\(485\) 2.75722 1.59188i 0.125199 0.0722836i
\(486\) −36.1599 + 36.1599i −1.64025 + 1.64025i
\(487\) −6.68642 + 24.9540i −0.302990 + 1.13078i 0.631671 + 0.775237i \(0.282369\pi\)
−0.934661 + 0.355539i \(0.884297\pi\)
\(488\) 4.77987 17.8387i 0.216375 0.807521i
\(489\) −18.0704 18.0704i −0.817172 0.817172i
\(490\) 7.07616 1.08898i 0.319668 0.0491951i
\(491\) −31.2520 18.0433i −1.41038 0.814284i −0.414958 0.909841i \(-0.636204\pi\)
−0.995424 + 0.0955563i \(0.969537\pi\)
\(492\) −7.16217 26.7296i −0.322895 1.20506i
\(493\) −8.25448 −0.371763
\(494\) −7.12547 + 2.19542i −0.320590 + 0.0987764i
\(495\) 6.17570i 0.277577i
\(496\) −12.8453 47.9393i −0.576771 2.15254i
\(497\) 4.52309 + 3.88026i 0.202888 + 0.174054i
\(498\) 45.5099 26.2752i 2.03935 1.17742i
\(499\) 19.9711 + 19.9711i 0.894029 + 0.894029i 0.994900 0.100871i \(-0.0321628\pi\)
−0.100871 + 0.994900i \(0.532163\pi\)
\(500\) 17.3884 + 4.65920i 0.777632 + 0.208366i
\(501\) 25.3783 + 6.80010i 1.13382 + 0.303806i
\(502\) 30.2801 + 30.2801i 1.35147 + 1.35147i
\(503\) −23.3796 + 13.4982i −1.04244 + 0.601855i −0.920525 0.390685i \(-0.872238\pi\)
−0.121920 + 0.992540i \(0.538905\pi\)
\(504\) −48.9479 + 57.0569i −2.18031 + 2.54152i
\(505\) −0.464223 1.73250i −0.0206576 0.0770954i
\(506\) 47.4825i 2.11085i
\(507\) 34.9555 2.59703i 1.55243 0.115338i
\(508\) 57.7565 2.56253
\(509\) 1.30100 + 4.85539i 0.0576658 + 0.215212i 0.988746 0.149602i \(-0.0477993\pi\)
−0.931081 + 0.364814i \(0.881133\pi\)
\(510\) 9.78497 + 5.64936i 0.433286 + 0.250158i
\(511\) 12.3604 4.34659i 0.546792 0.192282i
\(512\) −35.3750 35.3750i −1.56337 1.56337i
\(513\) 0.713841 2.66409i 0.0315169 0.117623i
\(514\) 8.11452 30.2838i 0.357916 1.33576i
\(515\) −4.53516 + 4.53516i −0.199843 + 0.199843i
\(516\) −32.8210 + 18.9492i −1.44486 + 0.834191i
\(517\) 15.4019 26.6768i 0.677373 1.17325i
\(518\) −12.1377 + 0.928495i −0.533300 + 0.0407957i
\(519\) 45.8549i 2.01281i
\(520\) −2.81425 9.13397i −0.123413 0.400551i
\(521\) 28.5686i 1.25161i −0.779979 0.625806i \(-0.784770\pi\)
0.779979 0.625806i \(-0.215230\pi\)
\(522\) −21.3346 + 5.71658i −0.933789 + 0.250208i
\(523\) −15.9700 9.22026i −0.698318 0.403174i 0.108403 0.994107i \(-0.465426\pi\)
−0.806720 + 0.590933i \(0.798760\pi\)
\(524\) 27.0261 + 46.8106i 1.18064 + 2.04493i
\(525\) 19.4993 + 28.5053i 0.851018 + 1.24407i
\(526\) 9.70594 36.2230i 0.423199 1.57940i
\(527\) −24.8596 6.66110i −1.08290 0.290162i
\(528\) 54.6899 + 54.6899i 2.38007 + 2.38007i
\(529\) 1.47417 + 2.55334i 0.0640944 + 0.111015i
\(530\) −4.65031 + 8.05458i −0.201997 + 0.349868i
\(531\) −30.6472 + 8.21188i −1.32997 + 0.356365i
\(532\) −1.80427 + 9.61729i −0.0782250 + 0.416962i
\(533\) 4.28536 + 6.82496i 0.185620 + 0.295622i
\(534\) −82.7225 −3.57975
\(535\) −1.11526 4.16220i −0.0482169 0.179948i
\(536\) 16.7354 28.9865i 0.722859 1.25203i
\(537\) 14.6519 + 25.3779i 0.632278 + 1.09514i
\(538\) 9.04840 9.04840i 0.390104 0.390104i
\(539\) 15.0280 20.4948i 0.647303 0.882773i
\(540\) 6.05032 + 1.62118i 0.260364 + 0.0697644i
\(541\) −4.67673 + 4.67673i −0.201068 + 0.201068i −0.800458 0.599389i \(-0.795410\pi\)
0.599389 + 0.800458i \(0.295410\pi\)
\(542\) 58.9092 34.0113i 2.53037 1.46091i
\(543\) 48.5028 + 28.0031i 2.08145 + 1.20173i
\(544\) 27.6103 7.39814i 1.18378 0.317193i
\(545\) 1.32835 0.0569001
\(546\) 26.3335 60.5597i 1.12697 2.59172i
\(547\) 33.8006 1.44521 0.722605 0.691261i \(-0.242944\pi\)
0.722605 + 0.691261i \(0.242944\pi\)
\(548\) −57.7518 + 15.4745i −2.46703 + 0.661040i
\(549\) −10.2631 5.92540i −0.438018 0.252890i
\(550\) 39.0816 22.5637i 1.66644 0.962121i
\(551\) −1.14744 + 1.14744i −0.0488825 + 0.0488825i
\(552\) 88.2808 + 23.6548i 3.75748 + 1.00681i
\(553\) −4.14183 + 8.63478i −0.176129 + 0.367188i
\(554\) −37.0797 + 37.0797i −1.57536 + 1.57536i
\(555\) 0.962433 + 1.66698i 0.0408530 + 0.0707595i
\(556\) −19.8772 + 34.4283i −0.842981 + 1.46009i
\(557\) 6.41622 + 23.9457i 0.271864 + 1.01461i 0.957914 + 0.287056i \(0.0926765\pi\)
−0.686050 + 0.727555i \(0.740657\pi\)
\(558\) −68.8653 −2.91530
\(559\) 7.50953 8.08815i 0.317619 0.342092i
\(560\) −8.18458 1.53548i −0.345862 0.0648860i
\(561\) 38.7407 10.3805i 1.63563 0.438267i
\(562\) 7.02090 12.1606i 0.296159 0.512962i
\(563\) −2.10194 3.64067i −0.0885863 0.153436i 0.818327 0.574752i \(-0.194902\pi\)
−0.906914 + 0.421316i \(0.861568\pi\)
\(564\) −74.2780 74.2780i −3.12767 3.12767i
\(565\) 2.94005 + 0.787784i 0.123689 + 0.0331423i
\(566\) −16.6378 + 62.0931i −0.699338 + 2.60997i
\(567\) −5.34341 7.81132i −0.224402 0.328045i
\(568\) −7.49422 12.9804i −0.314450 0.544644i
\(569\) −0.733859 0.423694i −0.0307650 0.0177622i 0.484539 0.874770i \(-0.338988\pi\)
−0.515304 + 0.857008i \(0.672321\pi\)
\(570\) 2.14549 0.574883i 0.0898648 0.0240792i
\(571\) 17.8746i 0.748028i −0.927423 0.374014i \(-0.877981\pi\)
0.927423 0.374014i \(-0.122019\pi\)
\(572\) −53.1332 28.1035i −2.22161 1.17507i
\(573\) 4.00234i 0.167200i
\(574\) 15.1385 1.15805i 0.631869 0.0483360i
\(575\) 12.3307 21.3574i 0.514225 0.890664i
\(576\) 7.80393 4.50560i 0.325164 0.187733i
\(577\) 6.04475 6.04475i 0.251646 0.251646i −0.569999 0.821645i \(-0.693056\pi\)
0.821645 + 0.569999i \(0.193056\pi\)
\(578\) −0.141910 + 0.529615i −0.00590268 + 0.0220291i
\(579\) 5.12402 19.1231i 0.212947 0.794729i
\(580\) −2.60590 2.60590i −0.108204 0.108204i
\(581\) 6.66275 + 18.9469i 0.276418 + 0.786050i
\(582\) −47.9136 27.6629i −1.98608 1.14667i
\(583\) 8.54482 + 31.8897i 0.353890 + 1.32074i
\(584\) −32.9535 −1.36363
\(585\) −6.12889 + 0.227360i −0.253399 + 0.00940020i
\(586\) 47.3861i 1.95750i
\(587\) 10.7910 + 40.2727i 0.445394 + 1.66223i 0.714895 + 0.699231i \(0.246474\pi\)
−0.269502 + 0.963000i \(0.586859\pi\)
\(588\) −54.2447 67.5903i −2.23701 2.78738i
\(589\) −4.38162 + 2.52973i −0.180541 + 0.104236i
\(590\) −5.37385 5.37385i −0.221238 0.221238i
\(591\) 47.0278 + 12.6011i 1.93446 + 0.518338i
\(592\) 13.6765 + 3.66460i 0.562100 + 0.150614i
\(593\) 6.50540 + 6.50540i 0.267145 + 0.267145i 0.827949 0.560804i \(-0.189508\pi\)
−0.560804 + 0.827949i \(0.689508\pi\)
\(594\) 27.6427 15.9595i 1.13420 0.654828i
\(595\) −2.81168 + 3.27748i −0.115268 + 0.134364i
\(596\) 22.2005 + 82.8534i 0.909368 + 3.39381i
\(597\) 8.79403i 0.359916i
\(598\) −47.1226 + 1.74808i −1.92699 + 0.0714845i
\(599\) −41.5746 −1.69869 −0.849345 0.527838i \(-0.823003\pi\)
−0.849345 + 0.527838i \(0.823003\pi\)
\(600\) −22.4816 83.9023i −0.917806 3.42530i
\(601\) −22.6812 13.0950i −0.925184 0.534155i −0.0398987 0.999204i \(-0.512704\pi\)
−0.885285 + 0.465049i \(0.846037\pi\)
\(602\) −6.89795 19.6157i −0.281140 0.799478i
\(603\) −15.1872 15.1872i −0.618472 0.618472i
\(604\) 16.7228 62.4104i 0.680442 2.53944i
\(605\) −0.224889 + 0.839298i −0.00914305 + 0.0341223i
\(606\) −22.0396 + 22.0396i −0.895296 + 0.895296i
\(607\) 16.5683 9.56570i 0.672486 0.388260i −0.124532 0.992216i \(-0.539743\pi\)
0.797018 + 0.603956i \(0.206410\pi\)
\(608\) 2.80964 4.86644i 0.113946 0.197360i
\(609\) −1.09623 14.3304i −0.0444216 0.580699i
\(610\) 2.83859i 0.114931i
\(611\) 27.0417 + 14.3030i 1.09399 + 0.578638i
\(612\) 80.3321i 3.24723i
\(613\) −10.7855 + 2.88996i −0.435622 + 0.116725i −0.469964 0.882686i \(-0.655733\pi\)
0.0343420 + 0.999410i \(0.489066\pi\)
\(614\) −46.1284 26.6322i −1.86159 1.07479i
\(615\) −1.20038 2.07911i −0.0484039 0.0838379i
\(616\) −52.7561 + 36.0883i −2.12561 + 1.45404i
\(617\) −2.84075 + 10.6018i −0.114364 + 0.426814i −0.999239 0.0390163i \(-0.987578\pi\)
0.884874 + 0.465830i \(0.154244\pi\)
\(618\) 107.656 + 28.8464i 4.33057 + 1.16037i
\(619\) 18.7983 + 18.7983i 0.755567 + 0.755567i 0.975512 0.219945i \(-0.0705878\pi\)
−0.219945 + 0.975512i \(0.570588\pi\)
\(620\) −5.74517 9.95093i −0.230732 0.399639i
\(621\) 8.72161 15.1063i 0.349986 0.606194i
\(622\) 14.5363 3.89498i 0.582851 0.156175i
\(623\) 5.82964 31.0737i 0.233559 1.24494i
\(624\) −52.2620 + 56.2888i −2.09215 + 2.25336i
\(625\) −22.6448 −0.905791
\(626\) 13.5610 + 50.6102i 0.542005 + 2.02279i
\(627\) 3.94228 6.82824i 0.157440 0.272694i
\(628\) 32.1657 + 55.7127i 1.28355 + 2.22318i
\(629\) 5.19179 5.19179i 0.207010 0.207010i
\(630\) −4.99728 + 10.4182i −0.199096 + 0.415071i
\(631\) −34.9180 9.35626i −1.39007 0.372467i −0.515298 0.857011i \(-0.672319\pi\)
−0.874767 + 0.484544i \(0.838986\pi\)
\(632\) 17.0316 17.0316i 0.677479 0.677479i
\(633\) 5.17933 2.99029i 0.205860 0.118853i
\(634\) 17.0551 + 9.84677i 0.677345 + 0.391065i
\(635\) 4.83998 1.29687i 0.192069 0.0514647i
\(636\) 112.584 4.46427
\(637\) 20.8927 + 14.1596i 0.827799 + 0.561024i
\(638\) −18.7797 −0.743496
\(639\) −9.29025 + 2.48932i −0.367517 + 0.0984758i
\(640\) −2.94456 1.70004i −0.116394 0.0672000i
\(641\) 21.5157 12.4221i 0.849819 0.490643i −0.0107708 0.999942i \(-0.503429\pi\)
0.860590 + 0.509299i \(0.170095\pi\)
\(642\) −52.9484 + 52.9484i −2.08971 + 2.08971i
\(643\) 28.7931 + 7.71509i 1.13549 + 0.304253i 0.777136 0.629333i \(-0.216672\pi\)
0.358353 + 0.933586i \(0.383338\pi\)
\(644\) −26.7645 + 55.7980i −1.05467 + 2.19875i
\(645\) −2.32490 + 2.32490i −0.0915430 + 0.0915430i
\(646\) −4.23628 7.33745i −0.166674 0.288688i
\(647\) 6.87674 11.9109i 0.270352 0.468264i −0.698600 0.715513i \(-0.746193\pi\)
0.968952 + 0.247249i \(0.0795264\pi\)
\(648\) 6.16064 + 22.9918i 0.242013 + 0.903205i
\(649\) −26.9771 −1.05894
\(650\) 23.8315 + 37.9547i 0.934750 + 1.48870i
\(651\) 8.26275 44.0429i 0.323843 1.72618i
\(652\) −42.0379 + 11.2640i −1.64633 + 0.441133i
\(653\) −0.855193 + 1.48124i −0.0334663 + 0.0579653i −0.882273 0.470737i \(-0.843988\pi\)
0.848807 + 0.528703i \(0.177321\pi\)
\(654\) −11.5417 19.9908i −0.451315 0.781701i
\(655\) 3.31587 + 3.31587i 0.129562 + 0.129562i
\(656\) −17.0577 4.57060i −0.665992 0.178452i
\(657\) −5.47300 + 20.4255i −0.213522 + 0.796876i
\(658\) 47.5689 32.5399i 1.85443 1.26854i
\(659\) −4.73353 8.19872i −0.184392 0.319377i 0.758979 0.651115i \(-0.225698\pi\)
−0.943372 + 0.331738i \(0.892365\pi\)
\(660\) 15.5073 + 8.95317i 0.603623 + 0.348502i
\(661\) −8.52858 + 2.28523i −0.331723 + 0.0888850i −0.420836 0.907137i \(-0.638263\pi\)
0.0891132 + 0.996022i \(0.471597\pi\)
\(662\) 64.7224i 2.51551i
\(663\) 11.7281 + 38.0649i 0.455482 + 1.47832i
\(664\) 50.5135i 1.96030i
\(665\) 0.0647500 + 0.846440i 0.00251090 + 0.0328236i
\(666\) 9.82318 17.0143i 0.380641 0.659289i
\(667\) −8.88783 + 5.13139i −0.344138 + 0.198688i
\(668\) 31.6387 31.6387i 1.22414 1.22414i
\(669\) 3.79621 14.1676i 0.146770 0.547752i
\(670\) 1.33151 4.96926i 0.0514407 0.191979i
\(671\) −7.12495 7.12495i −0.275056 0.275056i
\(672\) 16.5105 + 46.9511i 0.636908 + 1.81118i
\(673\) 15.2065 + 8.77951i 0.586169 + 0.338425i 0.763581 0.645712i \(-0.223439\pi\)
−0.177412 + 0.984137i \(0.556773\pi\)
\(674\) −20.0219 74.7228i −0.771216 2.87822i
\(675\) −16.5781 −0.638091
\(676\) 25.9344 53.7651i 0.997476 2.06789i
\(677\) 23.4987i 0.903127i −0.892239 0.451564i \(-0.850866\pi\)
0.892239 0.451564i \(-0.149134\pi\)
\(678\) −13.6897 51.0908i −0.525751 1.96213i
\(679\) 13.7678 16.0487i 0.528360 0.615892i
\(680\) 9.40571 5.43039i 0.360692 0.208246i
\(681\) 0.661084 + 0.661084i 0.0253328 + 0.0253328i
\(682\) −56.5579 15.1546i −2.16571 0.580301i
\(683\) −33.6607 9.01937i −1.28799 0.345117i −0.451095 0.892476i \(-0.648966\pi\)
−0.836898 + 0.547359i \(0.815633\pi\)
\(684\) −11.1668 11.1668i −0.426973 0.426973i
\(685\) −4.49212 + 2.59353i −0.171635 + 0.0990936i
\(686\) 41.9358 22.4136i 1.60112 0.855753i
\(687\) −18.5011 69.0472i −0.705862 2.63431i
\(688\) 24.1852i 0.922052i
\(689\) −31.3334 + 9.65409i −1.19371 + 0.367792i
\(690\) 14.0477 0.534786
\(691\) −12.0465 44.9582i −0.458271 1.71029i −0.678290 0.734795i \(-0.737279\pi\)
0.220019 0.975496i \(-0.429388\pi\)
\(692\) 67.6287 + 39.0454i 2.57086 + 1.48428i
\(693\) 13.6067 + 38.6934i 0.516875 + 1.46984i
\(694\) 62.5609 + 62.5609i 2.37478 + 2.37478i
\(695\) −0.892649 + 3.33141i −0.0338601 + 0.126368i
\(696\) −9.35566 + 34.9158i −0.354625 + 1.32348i
\(697\) −6.47536 + 6.47536i −0.245272 + 0.245272i
\(698\) 9.13923 5.27654i 0.345925 0.199720i
\(699\) −29.4254 + 50.9663i −1.11297 + 1.92772i
\(700\) 58.6443 4.48610i 2.21655 0.169559i
\(701\) 7.19399i 0.271713i −0.990729 0.135857i \(-0.956621\pi\)
0.990729 0.135857i \(-0.0433787\pi\)
\(702\) 16.8563 + 26.8457i 0.636199 + 1.01323i
\(703\) 1.44340i 0.0544388i
\(704\) 7.40075 1.98302i 0.278926 0.0747380i
\(705\) −7.89233 4.55664i −0.297242 0.171613i
\(706\) −13.9744 24.2044i −0.525934 0.910945i
\(707\) −6.72571 9.83206i −0.252946 0.369773i
\(708\) −23.8102 + 88.8609i −0.894843 + 3.33960i
\(709\) −0.150433 0.0403084i −0.00564964 0.00151382i 0.255993 0.966679i \(-0.417598\pi\)
−0.261643 + 0.965165i \(0.584264\pi\)
\(710\) −1.62901 1.62901i −0.0611356 0.0611356i
\(711\) −7.72800 13.3853i −0.289823 0.501988i
\(712\) −39.7581 + 68.8630i −1.49000 + 2.58075i
\(713\) −30.9079 + 8.28174i −1.15751 + 0.310154i
\(714\) 73.7540 + 13.8368i 2.76018 + 0.517828i
\(715\) −5.08359 1.16201i −0.190115 0.0434567i
\(716\) 49.9045 1.86502
\(717\) 1.99546 + 7.44715i 0.0745218 + 0.278119i
\(718\) −39.5151 + 68.4421i −1.47469 + 2.55424i
\(719\) −6.48137 11.2261i −0.241714 0.418661i 0.719488 0.694504i \(-0.244376\pi\)
−0.961203 + 0.275843i \(0.911043\pi\)
\(720\) 9.50324 9.50324i 0.354165 0.354165i
\(721\) −18.4226 + 38.4069i −0.686093 + 1.43035i
\(722\) 45.5105 + 12.1945i 1.69372 + 0.453832i
\(723\) −57.5321 + 57.5321i −2.13964 + 2.13964i
\(724\) 82.6002 47.6893i 3.06981 1.77236i
\(725\) 8.44702 + 4.87689i 0.313714 + 0.181123i
\(726\) 14.5849 3.90802i 0.541297 0.145040i
\(727\) −49.4330 −1.83337 −0.916684 0.399614i \(-0.869144\pi\)
−0.916684 + 0.399614i \(0.869144\pi\)
\(728\) −37.7570 51.0277i −1.39937 1.89121i
\(729\) 42.9729 1.59159
\(730\) −4.89246 + 1.31093i −0.181078 + 0.0485198i
\(731\) 10.8613 + 6.27077i 0.401720 + 0.231933i
\(732\) −29.7577 + 17.1806i −1.09988 + 0.635013i
\(733\) −24.1928 + 24.1928i −0.893581 + 0.893581i −0.994858 0.101277i \(-0.967707\pi\)
0.101277 + 0.994858i \(0.467707\pi\)
\(734\) 61.8450 + 16.5713i 2.28274 + 0.611658i
\(735\) −6.06337 4.44604i −0.223651 0.163995i
\(736\) 25.1297 25.1297i 0.926292 0.926292i
\(737\) −9.13088 15.8151i −0.336340 0.582558i
\(738\) −12.2518 + 21.2207i −0.450994 + 0.781145i
\(739\) 1.10636 + 4.12898i 0.0406980 + 0.151887i 0.983285 0.182074i \(-0.0582812\pi\)
−0.942587 + 0.333961i \(0.891615\pi\)
\(740\) 3.27805 0.120503
\(741\) 6.92162 + 3.66102i 0.254272 + 0.134491i
\(742\) −11.3898 + 60.7112i −0.418134 + 2.22878i
\(743\) 23.2815 6.23826i 0.854115 0.228859i 0.194909 0.980821i \(-0.437559\pi\)
0.659206 + 0.751962i \(0.270892\pi\)
\(744\) −56.3519 + 97.6043i −2.06596 + 3.57835i
\(745\) 3.72080 + 6.44461i 0.136319 + 0.236112i
\(746\) 33.0218 + 33.0218i 1.20902 + 1.20902i
\(747\) −31.3097 8.38940i −1.14556 0.306952i
\(748\) 17.6780 65.9754i 0.646373 2.41230i
\(749\) −16.1580 23.6208i −0.590400 0.863084i
\(750\) −13.5698 23.5035i −0.495498 0.858227i
\(751\) −11.3539 6.55518i −0.414310 0.239202i 0.278330 0.960486i \(-0.410219\pi\)
−0.692640 + 0.721283i \(0.743553\pi\)
\(752\) −64.7512 + 17.3500i −2.36123 + 0.632690i
\(753\) 44.9716i 1.63886i
\(754\) −0.691382 18.6374i −0.0251786 0.678734i
\(755\) 5.60548i 0.204004i
\(756\) 41.4797 3.17306i 1.50860 0.115403i
\(757\) 7.95111 13.7717i 0.288988 0.500542i −0.684580 0.728937i \(-0.740015\pi\)
0.973568 + 0.228395i \(0.0733479\pi\)
\(758\) 1.86667 1.07772i 0.0678007 0.0391447i
\(759\) 35.2602 35.2602i 1.27986 1.27986i
\(760\) 0.552600 2.06233i 0.0200449 0.0748087i
\(761\) 10.2470 38.2424i 0.371454 1.38629i −0.487002 0.873401i \(-0.661910\pi\)
0.858457 0.512886i \(-0.171424\pi\)
\(762\) −61.5705 61.5705i −2.23047 2.23047i
\(763\) 8.32265 2.92669i 0.301300 0.105953i
\(764\) −5.90280 3.40799i −0.213556 0.123297i
\(765\) −1.80378 6.73181i −0.0652160 0.243389i
\(766\) 14.9050 0.538538
\(767\) −0.993171 26.7726i −0.0358613 0.966704i
\(768\) 70.4653i 2.54270i
\(769\) −1.28737 4.80452i −0.0464236 0.173255i 0.938822 0.344404i \(-0.111919\pi\)
−0.985245 + 0.171148i \(0.945252\pi\)
\(770\) −6.39683 + 7.45657i −0.230526 + 0.268716i
\(771\) −28.5143 + 16.4627i −1.02692 + 0.592891i
\(772\) −23.8404 23.8404i −0.858036 0.858036i
\(773\) −32.0473 8.58704i −1.15266 0.308855i −0.368630 0.929576i \(-0.620173\pi\)
−0.784031 + 0.620722i \(0.786840\pi\)
\(774\) 32.4149 + 8.68556i 1.16513