Properties

Label 731.2.n.a.208.19
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.n (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 208.19
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.46

$q$-expansion

\(f(q)\) \(=\) \(q-1.44677i q^{2} +(-2.41714 - 0.647670i) q^{3} -0.0931316 q^{4} +(0.138660 + 0.0371537i) q^{5} +(-0.937027 + 3.49703i) q^{6} +(0.626167 - 0.167781i) q^{7} -2.75879i q^{8} +(2.82501 + 1.63102i) q^{9} +O(q^{10})\) \(q-1.44677i q^{2} +(-2.41714 - 0.647670i) q^{3} -0.0931316 q^{4} +(0.138660 + 0.0371537i) q^{5} +(-0.937027 + 3.49703i) q^{6} +(0.626167 - 0.167781i) q^{7} -2.75879i q^{8} +(2.82501 + 1.63102i) q^{9} +(0.0537528 - 0.200608i) q^{10} +(2.06781 + 2.06781i) q^{11} +(0.225112 + 0.0603186i) q^{12} +(2.14803 - 3.72050i) q^{13} +(-0.242740 - 0.905917i) q^{14} +(-0.311096 - 0.179611i) q^{15} -4.17759 q^{16} +(-1.99782 - 3.60676i) q^{17} +(2.35970 - 4.08712i) q^{18} +(0.179408 - 0.103581i) q^{19} +(-0.0129136 - 0.00346019i) q^{20} -1.62220 q^{21} +(2.99164 - 2.99164i) q^{22} +(1.70533 - 6.36436i) q^{23} +(-1.78679 + 6.66838i) q^{24} +(-4.31228 - 2.48970i) q^{25} +(-5.38270 - 3.10770i) q^{26} +(-0.463664 - 0.463664i) q^{27} +(-0.0583159 + 0.0156257i) q^{28} +(1.54747 + 5.77523i) q^{29} +(-0.259856 + 0.450083i) q^{30} +(3.69833 + 0.990964i) q^{31} +0.526410i q^{32} +(-3.65893 - 6.33745i) q^{33} +(-5.21814 + 2.89038i) q^{34} +0.0930578 q^{35} +(-0.263097 - 0.151899i) q^{36} +(-10.5980 - 2.83972i) q^{37} +(-0.149858 - 0.259561i) q^{38} +(-7.60175 + 7.60175i) q^{39} +(0.102499 - 0.382533i) q^{40} +(0.367490 + 0.367490i) q^{41} +2.34694i q^{42} +(-6.50342 + 0.839954i) q^{43} +(-0.192579 - 0.192579i) q^{44} +(0.331116 + 0.331116i) q^{45} +(-9.20775 - 2.46721i) q^{46} +1.28573 q^{47} +(10.0978 + 2.70570i) q^{48} +(-5.69824 + 3.28988i) q^{49} +(-3.60201 + 6.23886i) q^{50} +(2.49302 + 10.0120i) q^{51} +(-0.200050 + 0.346496i) q^{52} +(-2.11212 + 1.21943i) q^{53} +(-0.670814 + 0.670814i) q^{54} +(0.209895 + 0.363549i) q^{55} +(-0.462873 - 1.72746i) q^{56} +(-0.500740 + 0.134173i) q^{57} +(8.35540 - 2.23882i) q^{58} -13.5917i q^{59} +(0.0289729 + 0.0167275i) q^{60} +(4.26500 - 1.14280i) q^{61} +(1.43369 - 5.35061i) q^{62} +(2.04258 + 0.547307i) q^{63} -7.59359 q^{64} +(0.436076 - 0.436076i) q^{65} +(-9.16880 + 5.29361i) q^{66} +(2.99055 + 5.17979i) q^{67} +(0.186060 + 0.335903i) q^{68} +(-8.24402 + 14.2791i) q^{69} -0.134633i q^{70} +(-2.26492 - 8.45281i) q^{71} +(4.49964 - 7.79360i) q^{72} +(3.42397 + 12.7784i) q^{73} +(-4.10841 + 15.3328i) q^{74} +(8.81088 + 8.81088i) q^{75} +(-0.0167085 + 0.00964668i) q^{76} +(1.64173 + 0.947856i) q^{77} +(10.9980 + 10.9980i) q^{78} +(-1.12129 + 0.300448i) q^{79} +(-0.579263 - 0.155213i) q^{80} +(-4.07261 - 7.05398i) q^{81} +(0.531672 - 0.531672i) q^{82} +(10.3041 - 5.94907i) q^{83} +0.151078 q^{84} +(-0.143012 - 0.574338i) q^{85} +(1.21522 + 9.40893i) q^{86} -14.9618i q^{87} +(5.70466 - 5.70466i) q^{88} +(-1.78514 - 3.09195i) q^{89} +(0.479047 - 0.479047i) q^{90} +(0.720798 - 2.69005i) q^{91} +(-0.158820 + 0.592724i) q^{92} +(-8.29755 - 4.79059i) q^{93} -1.86015i q^{94} +(0.0287250 - 0.00769685i) q^{95} +(0.340940 - 1.27241i) q^{96} +(-7.89286 + 7.89286i) q^{97} +(4.75969 + 8.24402i) q^{98} +(2.46894 + 9.21422i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + O(q^{10}) \) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + 2q^{10} + 4q^{11} + 8q^{12} - 8q^{13} - 6q^{14} + 248q^{16} - 2q^{17} + 16q^{18} - 14q^{20} - 16q^{21} - 4q^{22} + 8q^{23} + 12q^{24} - 12q^{27} - 14q^{28} + 2q^{29} + 8q^{30} - 24q^{31} + 20q^{33} + 16q^{34} + 40q^{35} + 18q^{37} + 8q^{38} + 36q^{39} - 10q^{40} + 8q^{41} - 80q^{44} - 4q^{45} + 2q^{46} + 24q^{47} + 24q^{48} + 92q^{50} - 20q^{51} + 4q^{52} - 88q^{54} - 80q^{55} + 60q^{56} - 44q^{57} + 34q^{58} - 8q^{61} + 24q^{62} - 26q^{63} - 200q^{64} - 8q^{65} + 44q^{67} - 58q^{68} + 40q^{69} - 26q^{71} - 48q^{72} + 36q^{73} + 90q^{74} - 156q^{75} - 24q^{78} + 22q^{79} + 30q^{80} + 132q^{81} + 156q^{82} - 160q^{84} - 28q^{85} + 52q^{86} + 28q^{88} - 20q^{89} + 28q^{90} + 34q^{91} - 70q^{92} + 40q^{95} - 16q^{96} - 92q^{98} + 30q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.44677i 1.02302i −0.859278 0.511509i \(-0.829087\pi\)
0.859278 0.511509i \(-0.170913\pi\)
\(3\) −2.41714 0.647670i −1.39554 0.373933i −0.518796 0.854898i \(-0.673620\pi\)
−0.876740 + 0.480965i \(0.840286\pi\)
\(4\) −0.0931316 −0.0465658
\(5\) 0.138660 + 0.0371537i 0.0620105 + 0.0166157i 0.289691 0.957120i \(-0.406447\pi\)
−0.227680 + 0.973736i \(0.573114\pi\)
\(6\) −0.937027 + 3.49703i −0.382540 + 1.42766i
\(7\) 0.626167 0.167781i 0.236669 0.0634152i −0.138535 0.990358i \(-0.544239\pi\)
0.375204 + 0.926942i \(0.377573\pi\)
\(8\) 2.75879i 0.975380i
\(9\) 2.82501 + 1.63102i 0.941669 + 0.543673i
\(10\) 0.0537528 0.200608i 0.0169981 0.0634378i
\(11\) 2.06781 + 2.06781i 0.623469 + 0.623469i 0.946417 0.322948i \(-0.104674\pi\)
−0.322948 + 0.946417i \(0.604674\pi\)
\(12\) 0.225112 + 0.0603186i 0.0649842 + 0.0174125i
\(13\) 2.14803 3.72050i 0.595757 1.03188i −0.397682 0.917523i \(-0.630185\pi\)
0.993440 0.114358i \(-0.0364812\pi\)
\(14\) −0.242740 0.905917i −0.0648749 0.242117i
\(15\) −0.311096 0.179611i −0.0803247 0.0463755i
\(16\) −4.17759 −1.04440
\(17\) −1.99782 3.60676i −0.484542 0.874768i
\(18\) 2.35970 4.08712i 0.556187 0.963344i
\(19\) 0.179408 0.103581i 0.0411590 0.0237631i −0.479279 0.877662i \(-0.659102\pi\)
0.520438 + 0.853899i \(0.325769\pi\)
\(20\) −0.0129136 0.00346019i −0.00288757 0.000773721i
\(21\) −1.62220 −0.353993
\(22\) 2.99164 2.99164i 0.637820 0.637820i
\(23\) 1.70533 6.36436i 0.355585 1.32706i −0.524162 0.851619i \(-0.675621\pi\)
0.879747 0.475443i \(-0.157712\pi\)
\(24\) −1.78679 + 6.66838i −0.364727 + 1.36118i
\(25\) −4.31228 2.48970i −0.862456 0.497939i
\(26\) −5.38270 3.10770i −1.05563 0.609470i
\(27\) −0.463664 0.463664i −0.0892323 0.0892323i
\(28\) −0.0583159 + 0.0156257i −0.0110207 + 0.00295298i
\(29\) 1.54747 + 5.77523i 0.287357 + 1.07243i 0.947099 + 0.320940i \(0.103999\pi\)
−0.659742 + 0.751492i \(0.729334\pi\)
\(30\) −0.259856 + 0.450083i −0.0474429 + 0.0821736i
\(31\) 3.69833 + 0.990964i 0.664239 + 0.177982i 0.575158 0.818042i \(-0.304940\pi\)
0.0890808 + 0.996024i \(0.471607\pi\)
\(32\) 0.526410i 0.0930570i
\(33\) −3.65893 6.33745i −0.636938 1.10321i
\(34\) −5.21814 + 2.89038i −0.894903 + 0.495696i
\(35\) 0.0930578 0.0157296
\(36\) −0.263097 0.151899i −0.0438496 0.0253166i
\(37\) −10.5980 2.83972i −1.74230 0.466847i −0.759342 0.650692i \(-0.774479\pi\)
−0.982955 + 0.183845i \(0.941146\pi\)
\(38\) −0.149858 0.259561i −0.0243101 0.0421064i
\(39\) −7.60175 + 7.60175i −1.21725 + 1.21725i
\(40\) 0.102499 0.382533i 0.0162066 0.0604838i
\(41\) 0.367490 + 0.367490i 0.0573923 + 0.0573923i 0.735220 0.677828i \(-0.237079\pi\)
−0.677828 + 0.735220i \(0.737079\pi\)
\(42\) 2.34694i 0.362141i
\(43\) −6.50342 + 0.839954i −0.991762 + 0.128092i
\(44\) −0.192579 0.192579i −0.0290323 0.0290323i
\(45\) 0.331116 + 0.331116i 0.0493598 + 0.0493598i
\(46\) −9.20775 2.46721i −1.35761 0.363770i
\(47\) 1.28573 0.187543 0.0937713 0.995594i \(-0.470108\pi\)
0.0937713 + 0.995594i \(0.470108\pi\)
\(48\) 10.0978 + 2.70570i 1.45749 + 0.390534i
\(49\) −5.69824 + 3.28988i −0.814035 + 0.469983i
\(50\) −3.60201 + 6.23886i −0.509401 + 0.882308i
\(51\) 2.49302 + 10.0120i 0.349092 + 1.40196i
\(52\) −0.200050 + 0.346496i −0.0277419 + 0.0480504i
\(53\) −2.11212 + 1.21943i −0.290122 + 0.167502i −0.637997 0.770039i \(-0.720237\pi\)
0.347875 + 0.937541i \(0.386903\pi\)
\(54\) −0.670814 + 0.670814i −0.0912862 + 0.0912862i
\(55\) 0.209895 + 0.363549i 0.0283022 + 0.0490209i
\(56\) −0.462873 1.72746i −0.0618540 0.230842i
\(57\) −0.500740 + 0.134173i −0.0663246 + 0.0177716i
\(58\) 8.35540 2.23882i 1.09712 0.293972i
\(59\) 13.5917i 1.76949i −0.466074 0.884746i \(-0.654332\pi\)
0.466074 0.884746i \(-0.345668\pi\)
\(60\) 0.0289729 + 0.0167275i 0.00374038 + 0.00215951i
\(61\) 4.26500 1.14280i 0.546078 0.146321i 0.0247753 0.999693i \(-0.492113\pi\)
0.521303 + 0.853372i \(0.325446\pi\)
\(62\) 1.43369 5.35061i 0.182079 0.679529i
\(63\) 2.04258 + 0.547307i 0.257341 + 0.0689543i
\(64\) −7.59359 −0.949198
\(65\) 0.436076 0.436076i 0.0540886 0.0540886i
\(66\) −9.16880 + 5.29361i −1.12860 + 0.651599i
\(67\) 2.99055 + 5.17979i 0.365354 + 0.632811i 0.988833 0.149029i \(-0.0476147\pi\)
−0.623479 + 0.781840i \(0.714281\pi\)
\(68\) 0.186060 + 0.335903i 0.0225631 + 0.0407343i
\(69\) −8.24402 + 14.2791i −0.992463 + 1.71900i
\(70\) 0.134633i 0.0160917i
\(71\) −2.26492 8.45281i −0.268797 1.00316i −0.959885 0.280393i \(-0.909535\pi\)
0.691088 0.722770i \(-0.257132\pi\)
\(72\) 4.49964 7.79360i 0.530288 0.918485i
\(73\) 3.42397 + 12.7784i 0.400745 + 1.49560i 0.811770 + 0.583977i \(0.198504\pi\)
−0.411025 + 0.911624i \(0.634829\pi\)
\(74\) −4.10841 + 15.3328i −0.477593 + 1.78240i
\(75\) 8.81088 + 8.81088i 1.01739 + 1.01739i
\(76\) −0.0167085 + 0.00964668i −0.00191660 + 0.00110655i
\(77\) 1.64173 + 0.947856i 0.187093 + 0.108018i
\(78\) 10.9980 + 10.9980i 1.24527 + 1.24527i
\(79\) −1.12129 + 0.300448i −0.126155 + 0.0338030i −0.321344 0.946963i \(-0.604135\pi\)
0.195189 + 0.980766i \(0.437468\pi\)
\(80\) −0.579263 0.155213i −0.0647636 0.0173533i
\(81\) −4.07261 7.05398i −0.452513 0.783775i
\(82\) 0.531672 0.531672i 0.0587133 0.0587133i
\(83\) 10.3041 5.94907i 1.13102 0.652995i 0.186829 0.982392i \(-0.440179\pi\)
0.944191 + 0.329397i \(0.106846\pi\)
\(84\) 0.151078 0.0164840
\(85\) −0.143012 0.574338i −0.0155119 0.0622957i
\(86\) 1.21522 + 9.40893i 0.131040 + 1.01459i
\(87\) 14.9618i 1.60407i
\(88\) 5.70466 5.70466i 0.608119 0.608119i
\(89\) −1.78514 3.09195i −0.189224 0.327746i 0.755768 0.654840i \(-0.227264\pi\)
−0.944992 + 0.327094i \(0.893931\pi\)
\(90\) 0.479047 0.479047i 0.0504960 0.0504960i
\(91\) 0.720798 2.69005i 0.0755601 0.281994i
\(92\) −0.158820 + 0.592724i −0.0165581 + 0.0617957i
\(93\) −8.29755 4.79059i −0.860416 0.496762i
\(94\) 1.86015i 0.191860i
\(95\) 0.0287250 0.00769685i 0.00294713 0.000789681i
\(96\) 0.340940 1.27241i 0.0347971 0.129864i
\(97\) −7.89286 + 7.89286i −0.801399 + 0.801399i −0.983314 0.181916i \(-0.941770\pi\)
0.181916 + 0.983314i \(0.441770\pi\)
\(98\) 4.75969 + 8.24402i 0.480801 + 0.832772i
\(99\) 2.46894 + 9.21422i 0.248138 + 0.926064i
\(100\) 0.401610 + 0.231869i 0.0401610 + 0.0231869i
\(101\) −6.10566 + 10.5753i −0.607536 + 1.05228i 0.384110 + 0.923287i \(0.374508\pi\)
−0.991645 + 0.128995i \(0.958825\pi\)
\(102\) 14.4850 3.60681i 1.43423 0.357127i
\(103\) −3.52404 + 6.10382i −0.347234 + 0.601428i −0.985757 0.168175i \(-0.946213\pi\)
0.638523 + 0.769603i \(0.279546\pi\)
\(104\) −10.2641 5.92598i −1.00648 0.581090i
\(105\) −0.224933 0.0602707i −0.0219513 0.00588182i
\(106\) 1.76423 + 3.05574i 0.171358 + 0.296800i
\(107\) 8.51881 8.51881i 0.823544 0.823544i −0.163070 0.986614i \(-0.552140\pi\)
0.986614 + 0.163070i \(0.0521398\pi\)
\(108\) 0.0431818 + 0.0431818i 0.00415517 + 0.00415517i
\(109\) 2.80629 10.4732i 0.268793 1.00315i −0.691094 0.722765i \(-0.742871\pi\)
0.959887 0.280386i \(-0.0904624\pi\)
\(110\) 0.525970 0.303669i 0.0501493 0.0289537i
\(111\) 23.7776 + 13.7280i 2.25687 + 1.30300i
\(112\) −2.61587 + 0.700920i −0.247176 + 0.0662307i
\(113\) −7.89004 7.89004i −0.742232 0.742232i 0.230775 0.973007i \(-0.425874\pi\)
−0.973007 + 0.230775i \(0.925874\pi\)
\(114\) 0.194117 + 0.724454i 0.0181807 + 0.0678513i
\(115\) 0.472920 0.819121i 0.0441000 0.0763834i
\(116\) −0.144118 0.537856i −0.0133810 0.0499387i
\(117\) 12.1364 7.00696i 1.12201 0.647794i
\(118\) −19.6640 −1.81022
\(119\) −1.85611 1.92324i −0.170150 0.176303i
\(120\) −0.495511 + 0.858250i −0.0452337 + 0.0783471i
\(121\) 2.44831i 0.222573i
\(122\) −1.65337 6.17046i −0.149689 0.558647i
\(123\) −0.650261 1.12629i −0.0586321 0.101554i
\(124\) −0.344431 0.0922901i −0.0309308 0.00828789i
\(125\) −1.01297 1.01297i −0.0906025 0.0906025i
\(126\) 0.791826 2.95513i 0.0705414 0.263264i
\(127\) 22.3171i 1.98032i −0.139930 0.990161i \(-0.544688\pi\)
0.139930 0.990161i \(-0.455312\pi\)
\(128\) 12.0390i 1.06410i
\(129\) 16.2637 + 2.18179i 1.43194 + 0.192096i
\(130\) −0.630900 0.630900i −0.0553336 0.0553336i
\(131\) 14.2243 14.2243i 1.24279 1.24279i 0.283945 0.958840i \(-0.408357\pi\)
0.958840 0.283945i \(-0.0916434\pi\)
\(132\) 0.340762 + 0.590217i 0.0296595 + 0.0513718i
\(133\) 0.0949603 0.0949603i 0.00823410 0.00823410i
\(134\) 7.49394 4.32663i 0.647378 0.373764i
\(135\) −0.0470647 0.0815184i −0.00405068 0.00701599i
\(136\) −9.95030 + 5.51157i −0.853231 + 0.472613i
\(137\) 8.32192 0.710990 0.355495 0.934678i \(-0.384312\pi\)
0.355495 + 0.934678i \(0.384312\pi\)
\(138\) 20.6585 + 11.9272i 1.75856 + 1.01531i
\(139\) 14.6613 + 3.92849i 1.24356 + 0.333210i 0.819844 0.572587i \(-0.194060\pi\)
0.423713 + 0.905797i \(0.360727\pi\)
\(140\) −0.00866662 −0.000732463
\(141\) −3.10778 0.832728i −0.261723 0.0701283i
\(142\) −12.2292 + 3.27681i −1.02625 + 0.274984i
\(143\) 12.1350 3.25157i 1.01478 0.271910i
\(144\) −11.8017 6.81372i −0.983476 0.567810i
\(145\) 0.858285i 0.0712767i
\(146\) 18.4874 4.95368i 1.53003 0.409969i
\(147\) 15.9042 4.26152i 1.31176 0.351484i
\(148\) 0.987007 + 0.264468i 0.0811315 + 0.0217391i
\(149\) −3.20664 5.55406i −0.262698 0.455006i 0.704260 0.709942i \(-0.251279\pi\)
−0.966958 + 0.254936i \(0.917946\pi\)
\(150\) 12.7473 12.7473i 1.04081 1.04081i
\(151\) 9.88224i 0.804205i 0.915595 + 0.402103i \(0.131720\pi\)
−0.915595 + 0.402103i \(0.868280\pi\)
\(152\) −0.285759 0.494949i −0.0231781 0.0401457i
\(153\) 0.238838 13.4476i 0.0193089 1.08717i
\(154\) 1.37133 2.37521i 0.110505 0.191400i
\(155\) 0.475991 + 0.274813i 0.0382325 + 0.0220735i
\(156\) 0.707963 0.707963i 0.0566824 0.0566824i
\(157\) −0.922202 + 1.59730i −0.0735997 + 0.127478i −0.900476 0.434905i \(-0.856782\pi\)
0.826877 + 0.562383i \(0.190115\pi\)
\(158\) 0.434677 + 1.62224i 0.0345811 + 0.129058i
\(159\) 5.89508 1.57958i 0.467510 0.125269i
\(160\) −0.0195581 + 0.0729918i −0.00154620 + 0.00577051i
\(161\) 4.27128i 0.336624i
\(162\) −10.2055 + 5.89212i −0.801816 + 0.462929i
\(163\) −6.68746 + 1.79190i −0.523802 + 0.140352i −0.511025 0.859566i \(-0.670734\pi\)
−0.0127776 + 0.999918i \(0.504067\pi\)
\(164\) −0.0342249 0.0342249i −0.00267252 0.00267252i
\(165\) −0.271886 1.01469i −0.0211663 0.0789936i
\(166\) −8.60691 14.9076i −0.668026 1.15705i
\(167\) 14.8076 + 3.96768i 1.14585 + 0.307028i 0.781299 0.624157i \(-0.214557\pi\)
0.364546 + 0.931185i \(0.381224\pi\)
\(168\) 4.47531i 0.345278i
\(169\) −2.72809 4.72519i −0.209853 0.363476i
\(170\) −0.830933 + 0.206905i −0.0637297 + 0.0158689i
\(171\) 0.675771 0.0516775
\(172\) 0.605674 0.0782263i 0.0461822 0.00596470i
\(173\) 8.30411 8.30411i 0.631350 0.631350i −0.317057 0.948406i \(-0.602695\pi\)
0.948406 + 0.317057i \(0.102695\pi\)
\(174\) −21.6462 −1.64099
\(175\) −3.11793 0.835447i −0.235693 0.0631539i
\(176\) −8.63847 8.63847i −0.651149 0.651149i
\(177\) −8.80296 + 32.8531i −0.661671 + 2.46939i
\(178\) −4.47333 + 2.58268i −0.335290 + 0.193580i
\(179\) 5.80797 + 3.35323i 0.434108 + 0.250632i 0.701095 0.713068i \(-0.252695\pi\)
−0.266987 + 0.963700i \(0.586028\pi\)
\(180\) −0.0308374 0.0308374i −0.00229848 0.00229848i
\(181\) 20.2500 5.42598i 1.50517 0.403310i 0.590344 0.807151i \(-0.298992\pi\)
0.914829 + 0.403841i \(0.132325\pi\)
\(182\) −3.89188 1.04283i −0.288485 0.0772994i
\(183\) −11.0493 −0.816785
\(184\) −17.5580 4.70464i −1.29439 0.346831i
\(185\) −1.36401 0.787509i −0.100284 0.0578988i
\(186\) −6.93087 + 12.0046i −0.508196 + 0.880221i
\(187\) 3.32699 11.5892i 0.243293 0.847487i
\(188\) −0.119742 −0.00873308
\(189\) −0.368125 0.212537i −0.0267772 0.0154598i
\(190\) −0.0111355 0.0415584i −0.000807857 0.00301496i
\(191\) 2.97369 + 5.15057i 0.215168 + 0.372682i 0.953325 0.301947i \(-0.0976366\pi\)
−0.738156 + 0.674630i \(0.764303\pi\)
\(192\) 18.3548 + 4.91814i 1.32464 + 0.354936i
\(193\) 6.47967 + 6.47967i 0.466417 + 0.466417i 0.900752 0.434334i \(-0.143016\pi\)
−0.434334 + 0.900752i \(0.643016\pi\)
\(194\) 11.4191 + 11.4191i 0.819845 + 0.819845i
\(195\) −1.33649 + 0.771623i −0.0957080 + 0.0552570i
\(196\) 0.530687 0.306392i 0.0379062 0.0218851i
\(197\) −2.91625 + 0.781407i −0.207774 + 0.0556729i −0.361205 0.932486i \(-0.617635\pi\)
0.153431 + 0.988159i \(0.450968\pi\)
\(198\) 13.3308 3.57198i 0.947380 0.253850i
\(199\) −13.4726 + 13.4726i −0.955044 + 0.955044i −0.999032 0.0439881i \(-0.985994\pi\)
0.0439881 + 0.999032i \(0.485994\pi\)
\(200\) −6.86856 + 11.8967i −0.485680 + 0.841223i
\(201\) −3.87378 14.4571i −0.273235 1.01973i
\(202\) 15.3000 + 8.83346i 1.07650 + 0.621520i
\(203\) 1.93795 + 3.35662i 0.136017 + 0.235589i
\(204\) −0.232179 0.932431i −0.0162557 0.0652832i
\(205\) 0.0373024 + 0.0646096i 0.00260531 + 0.00451253i
\(206\) 8.83081 + 5.09847i 0.615271 + 0.355227i
\(207\) 15.1980 15.1980i 1.05633 1.05633i
\(208\) −8.97360 + 15.5427i −0.622207 + 1.07769i
\(209\) 0.585168 + 0.156795i 0.0404769 + 0.0108458i
\(210\) −0.0871977 + 0.325426i −0.00601721 + 0.0224565i
\(211\) 7.54399 + 7.54399i 0.519350 + 0.519350i 0.917375 0.398025i \(-0.130304\pi\)
−0.398025 + 0.917375i \(0.630304\pi\)
\(212\) 0.196705 0.113568i 0.0135098 0.00779986i
\(213\) 21.8985i 1.50046i
\(214\) −12.3247 12.3247i −0.842500 0.842500i
\(215\) −0.932969 0.125159i −0.0636280 0.00853575i
\(216\) −1.27915 + 1.27915i −0.0870354 + 0.0870354i
\(217\) 2.48204 0.168492
\(218\) −15.1523 4.06004i −1.02624 0.274981i
\(219\) 33.1048i 2.23702i
\(220\) −0.0195479 0.0338579i −0.00131792 0.00228270i
\(221\) −17.7103 0.314547i −1.19133 0.0211587i
\(222\) 19.8612 34.4006i 1.33300 2.30882i
\(223\) 11.1653i 0.747684i −0.927492 0.373842i \(-0.878040\pi\)
0.927492 0.373842i \(-0.121960\pi\)
\(224\) 0.0883216 + 0.329621i 0.00590123 + 0.0220237i
\(225\) −8.12148 14.0668i −0.541432 0.937788i
\(226\) −11.4150 + 11.4150i −0.759317 + 0.759317i
\(227\) −1.68136 + 6.27494i −0.111596 + 0.416482i −0.999010 0.0444918i \(-0.985833\pi\)
0.887414 + 0.460974i \(0.152500\pi\)
\(228\) 0.0466347 0.0124957i 0.00308846 0.000827551i
\(229\) 1.15705 + 0.668024i 0.0764601 + 0.0441442i 0.537743 0.843109i \(-0.319277\pi\)
−0.461283 + 0.887253i \(0.652611\pi\)
\(230\) −1.18508 0.684204i −0.0781416 0.0451151i
\(231\) −3.35440 3.35440i −0.220703 0.220703i
\(232\) 15.9327 4.26914i 1.04603 0.280283i
\(233\) 6.97337 + 26.0250i 0.456841 + 1.70495i 0.682619 + 0.730774i \(0.260841\pi\)
−0.225778 + 0.974179i \(0.572493\pi\)
\(234\) −10.1374 17.5585i −0.662705 1.14784i
\(235\) 0.178279 + 0.0477696i 0.0116296 + 0.00311614i
\(236\) 1.26582i 0.0823978i
\(237\) 2.90489 0.188693
\(238\) −2.78247 + 2.68536i −0.180361 + 0.174066i
\(239\) −10.0266 17.3665i −0.648566 1.12335i −0.983466 0.181095i \(-0.942036\pi\)
0.334900 0.942254i \(-0.391297\pi\)
\(240\) 1.29963 + 0.750343i 0.0838909 + 0.0484344i
\(241\) 6.99699 + 26.1131i 0.450716 + 1.68209i 0.700386 + 0.713764i \(0.253011\pi\)
−0.249671 + 0.968331i \(0.580322\pi\)
\(242\) −3.54213 −0.227697
\(243\) 5.78456 + 21.5883i 0.371080 + 1.38489i
\(244\) −0.397207 + 0.106431i −0.0254286 + 0.00681356i
\(245\) −0.912348 + 0.244463i −0.0582878 + 0.0156182i
\(246\) −1.62947 + 0.940776i −0.103891 + 0.0599817i
\(247\) 0.889983i 0.0566283i
\(248\) 2.73386 10.2029i 0.173601 0.647886i
\(249\) −28.7594 + 7.70607i −1.82256 + 0.488352i
\(250\) −1.46553 + 1.46553i −0.0926880 + 0.0926880i
\(251\) −6.02761 + 10.4401i −0.380459 + 0.658975i −0.991128 0.132911i \(-0.957567\pi\)
0.610669 + 0.791886i \(0.290901\pi\)
\(252\) −0.190229 0.0509716i −0.0119833 0.00321091i
\(253\) 16.6866 9.63401i 1.04908 0.605685i
\(254\) −32.2876 −2.02591
\(255\) −0.0263014 + 1.48088i −0.00164706 + 0.0927363i
\(256\) 2.23039 0.139399
\(257\) 4.88719i 0.304855i 0.988315 + 0.152427i \(0.0487090\pi\)
−0.988315 + 0.152427i \(0.951291\pi\)
\(258\) 3.15654 23.5297i 0.196517 1.46490i
\(259\) −7.11256 −0.441953
\(260\) −0.0406125 + 0.0406125i −0.00251868 + 0.00251868i
\(261\) −5.04789 + 18.8390i −0.312457 + 1.16610i
\(262\) −20.5793 20.5793i −1.27139 1.27139i
\(263\) −5.28224 + 3.04970i −0.325717 + 0.188053i −0.653938 0.756548i \(-0.726884\pi\)
0.328221 + 0.944601i \(0.393551\pi\)
\(264\) −17.4837 + 10.0942i −1.07605 + 0.621256i
\(265\) −0.338172 + 0.0906129i −0.0207737 + 0.00556631i
\(266\) −0.137385 0.137385i −0.00842364 0.00842364i
\(267\) 2.31236 + 8.62985i 0.141514 + 0.528138i
\(268\) −0.278515 0.482402i −0.0170130 0.0294674i
\(269\) 6.01591 6.01591i 0.366796 0.366796i −0.499511 0.866307i \(-0.666487\pi\)
0.866307 + 0.499511i \(0.166487\pi\)
\(270\) −0.117938 + 0.0680916i −0.00717748 + 0.00414392i
\(271\) 10.4485 18.0973i 0.634700 1.09933i −0.351879 0.936046i \(-0.614457\pi\)
0.986579 0.163287i \(-0.0522096\pi\)
\(272\) 8.34607 + 15.0676i 0.506055 + 0.913605i
\(273\) −3.48454 + 6.03539i −0.210894 + 0.365279i
\(274\) 12.0399i 0.727355i
\(275\) −3.76876 14.0652i −0.227265 0.848164i
\(276\) 0.767779 1.32983i 0.0462149 0.0800465i
\(277\) −27.5021 7.36916i −1.65244 0.442770i −0.692146 0.721758i \(-0.743334\pi\)
−0.960295 + 0.278988i \(0.910001\pi\)
\(278\) 5.68360 21.2115i 0.340880 1.27218i
\(279\) 8.83152 + 8.83152i 0.528729 + 0.528729i
\(280\) 0.256727i 0.0153424i
\(281\) 8.57927 4.95325i 0.511797 0.295486i −0.221775 0.975098i \(-0.571185\pi\)
0.733572 + 0.679612i \(0.237852\pi\)
\(282\) −1.20476 + 4.49623i −0.0717426 + 0.267747i
\(283\) −4.28035 + 1.14692i −0.254440 + 0.0681770i −0.383784 0.923423i \(-0.625379\pi\)
0.129344 + 0.991600i \(0.458713\pi\)
\(284\) 0.210936 + 0.787223i 0.0125167 + 0.0467131i
\(285\) −0.0744175 −0.00440811
\(286\) −4.70426 17.5565i −0.278169 1.03814i
\(287\) 0.291768 + 0.168452i 0.0172225 + 0.00994342i
\(288\) −0.858584 + 1.48711i −0.0505926 + 0.0876289i
\(289\) −9.01743 + 14.4113i −0.530437 + 0.847724i
\(290\) 1.24174 0.0729173
\(291\) 24.1901 13.9662i 1.41805 0.818711i
\(292\) −0.318880 1.19007i −0.0186610 0.0696439i
\(293\) 20.1304 1.17603 0.588016 0.808849i \(-0.299909\pi\)
0.588016 + 0.808849i \(0.299909\pi\)
\(294\) −6.16542 23.0097i −0.359575 1.34195i
\(295\) 0.504983 1.88462i 0.0294013 0.109727i
\(296\) −7.83420 + 29.2376i −0.455354 + 1.69940i
\(297\) 1.91754i 0.111267i
\(298\) −8.03543 + 4.63926i −0.465480 + 0.268745i
\(299\) −20.0155 20.0155i −1.15753 1.15753i
\(300\) −0.820571 0.820571i −0.0473757 0.0473757i
\(301\) −3.93130 + 1.61710i −0.226596 + 0.0932082i
\(302\) 14.2973 0.822716
\(303\) 21.6075 21.6075i 1.24132 1.24132i
\(304\) −0.749492 + 0.432720i −0.0429863 + 0.0248182i
\(305\) 0.633843 0.0362938
\(306\) −19.4555 0.345543i −1.11220 0.0197534i
\(307\) 14.2765 + 24.7277i 0.814804 + 1.41128i 0.909468 + 0.415773i \(0.136489\pi\)
−0.0946641 + 0.995509i \(0.530178\pi\)
\(308\) −0.152897 0.0882754i −0.00871214 0.00502996i
\(309\) 12.4714 12.4714i 0.709472 0.709472i
\(310\) 0.397591 0.688647i 0.0225816 0.0391125i
\(311\) 6.46460 + 1.73218i 0.366574 + 0.0982231i 0.437404 0.899265i \(-0.355898\pi\)
−0.0708300 + 0.997488i \(0.522565\pi\)
\(312\) 20.9717 + 20.9717i 1.18729 + 1.18729i
\(313\) −1.63865 + 6.11554i −0.0926222 + 0.345671i −0.996648 0.0818067i \(-0.973931\pi\)
0.904026 + 0.427477i \(0.140598\pi\)
\(314\) 2.31092 + 1.33421i 0.130413 + 0.0752938i
\(315\) 0.262889 + 0.151779i 0.0148121 + 0.00855177i
\(316\) 0.104427 0.0279812i 0.00587449 0.00157406i
\(317\) 16.0881 + 16.0881i 0.903599 + 0.903599i 0.995746 0.0921460i \(-0.0293727\pi\)
−0.0921460 + 0.995746i \(0.529373\pi\)
\(318\) −2.28528 8.52879i −0.128152 0.478271i
\(319\) −8.74221 + 15.1420i −0.489470 + 0.847787i
\(320\) −1.05292 0.282130i −0.0588602 0.0157716i
\(321\) −26.1085 + 15.0738i −1.45723 + 0.841335i
\(322\) −6.17954 −0.344372
\(323\) −0.732017 0.440145i −0.0407305 0.0244903i
\(324\) 0.379289 + 0.656948i 0.0210716 + 0.0364971i
\(325\) −18.5258 + 10.6959i −1.02763 + 0.593302i
\(326\) 2.59246 + 9.67519i 0.143583 + 0.535859i
\(327\) −13.5664 + 23.4976i −0.750222 + 1.29942i
\(328\) 1.01383 1.01383i 0.0559793 0.0559793i
\(329\) 0.805080 0.215721i 0.0443855 0.0118931i
\(330\) −1.46802 + 0.393355i −0.0808119 + 0.0216535i
\(331\) 24.5728 + 14.1871i 1.35064 + 0.779795i 0.988340 0.152265i \(-0.0486566\pi\)
0.362305 + 0.932060i \(0.381990\pi\)
\(332\) −0.959636 + 0.554046i −0.0526669 + 0.0304072i
\(333\) −25.3077 25.3077i −1.38685 1.38685i
\(334\) 5.74030 21.4231i 0.314095 1.17222i
\(335\) 0.222220 + 0.829337i 0.0121412 + 0.0453115i
\(336\) 6.77688 0.369709
\(337\) −2.73870 10.2210i −0.149187 0.556772i −0.999533 0.0305489i \(-0.990274\pi\)
0.850347 0.526223i \(-0.176392\pi\)
\(338\) −6.83624 + 3.94691i −0.371843 + 0.214683i
\(339\) 13.9612 + 24.1815i 0.758267 + 1.31336i
\(340\) 0.0133190 + 0.0534891i 0.000722322 + 0.00290085i
\(341\) 5.59832 + 9.69657i 0.303166 + 0.525099i
\(342\) 0.977682i 0.0528670i
\(343\) −6.22477 + 6.22477i −0.336106 + 0.336106i
\(344\) 2.31726 + 17.9416i 0.124938 + 0.967345i
\(345\) −1.67363 + 1.67363i −0.0901054 + 0.0901054i
\(346\) −12.0141 12.0141i −0.645882 0.645882i
\(347\) −8.55562 + 31.9300i −0.459290 + 1.71409i 0.215871 + 0.976422i \(0.430741\pi\)
−0.675160 + 0.737671i \(0.735926\pi\)
\(348\) 1.39341i 0.0746948i
\(349\) −6.44406 + 3.72048i −0.344943 + 0.199153i −0.662456 0.749101i \(-0.730486\pi\)
0.317513 + 0.948254i \(0.397152\pi\)
\(350\) −1.20870 + 4.51092i −0.0646075 + 0.241119i
\(351\) −2.72103 + 0.729098i −0.145238 + 0.0389164i
\(352\) −1.08852 + 1.08852i −0.0580182 + 0.0580182i
\(353\) 15.9975 27.7084i 0.851459 1.47477i −0.0284317 0.999596i \(-0.509051\pi\)
0.879891 0.475175i \(-0.157615\pi\)
\(354\) 47.5307 + 12.7358i 2.52623 + 0.676901i
\(355\) 1.25621i 0.0666729i
\(356\) 0.166253 + 0.287958i 0.00881138 + 0.0152618i
\(357\) 3.24086 + 5.85088i 0.171525 + 0.309662i
\(358\) 4.85134 8.40277i 0.256402 0.444100i
\(359\) 20.8322 + 12.0275i 1.09948 + 0.634787i 0.936085 0.351774i \(-0.114421\pi\)
0.163398 + 0.986560i \(0.447755\pi\)
\(360\) 0.913480 0.913480i 0.0481446 0.0481446i
\(361\) −9.47854 + 16.4173i −0.498871 + 0.864069i
\(362\) −7.85013 29.2971i −0.412593 1.53982i
\(363\) −1.58570 + 5.91790i −0.0832275 + 0.310609i
\(364\) −0.0671291 + 0.250529i −0.00351852 + 0.0131313i
\(365\) 1.89906i 0.0994015i
\(366\) 15.9857i 0.835586i
\(367\) −4.97766 + 18.5769i −0.259832 + 0.969705i 0.705507 + 0.708703i \(0.250720\pi\)
−0.965338 + 0.261002i \(0.915947\pi\)
\(368\) −7.12415 + 26.5877i −0.371372 + 1.38598i
\(369\) 0.438778 + 1.63754i 0.0228419 + 0.0852471i
\(370\) −1.13934 + 1.97340i −0.0592315 + 0.102592i
\(371\) −1.11794 + 1.11794i −0.0580406 + 0.0580406i
\(372\) 0.772765 + 0.446156i 0.0400660 + 0.0231321i
\(373\) 17.7234 30.6979i 0.917684 1.58948i 0.114760 0.993393i \(-0.463390\pi\)
0.802924 0.596082i \(-0.203277\pi\)
\(374\) −16.7669 4.81337i −0.866995 0.248893i
\(375\) 1.79241 + 3.10455i 0.0925598 + 0.160318i
\(376\) 3.54706i 0.182925i
\(377\) 24.8108 + 6.64802i 1.27782 + 0.342391i
\(378\) −0.307492 + 0.532591i −0.0158157 + 0.0273935i
\(379\) 6.28077 6.28077i 0.322622 0.322622i −0.527150 0.849772i \(-0.676740\pi\)
0.849772 + 0.527150i \(0.176740\pi\)
\(380\) −0.00267521 0.000716820i −0.000137235 3.67721e-5i
\(381\) −14.4541 + 53.9435i −0.740507 + 2.76361i
\(382\) 7.45168 4.30223i 0.381261 0.220121i
\(383\) 25.7706i 1.31682i 0.752660 + 0.658409i \(0.228770\pi\)
−0.752660 + 0.658409i \(0.771230\pi\)
\(384\) 7.79728 29.0998i 0.397903 1.48500i
\(385\) 0.192426 + 0.192426i 0.00980693 + 0.00980693i
\(386\) 9.37457 9.37457i 0.477153 0.477153i
\(387\) −19.7422 8.23432i −1.00355 0.418574i
\(388\) 0.735075 0.735075i 0.0373178 0.0373178i
\(389\) 28.9534i 1.46799i −0.679152 0.733997i \(-0.737652\pi\)
0.679152 0.733997i \(-0.262348\pi\)
\(390\) 1.11636 + 1.93359i 0.0565289 + 0.0979110i
\(391\) −26.3617 + 6.56415i −1.33317 + 0.331963i
\(392\) 9.07610 + 15.7203i 0.458412 + 0.793993i
\(393\) −43.5949 + 25.1695i −2.19907 + 1.26963i
\(394\) 1.13051 + 4.21913i 0.0569544 + 0.212557i
\(395\) −0.166640 −0.00838456
\(396\) −0.229937 0.858135i −0.0115548 0.0431229i
\(397\) 6.12040 22.8416i 0.307174 1.14639i −0.623884 0.781517i \(-0.714446\pi\)
0.931058 0.364872i \(-0.118887\pi\)
\(398\) 19.4916 + 19.4916i 0.977027 + 0.977027i
\(399\) −0.291035 + 0.168029i −0.0145700 + 0.00841198i
\(400\) 18.0149 + 10.4009i 0.900747 + 0.520047i
\(401\) −6.05827 + 1.62331i −0.302536 + 0.0810642i −0.406893 0.913476i \(-0.633388\pi\)
0.104358 + 0.994540i \(0.466721\pi\)
\(402\) −20.9161 + 5.60445i −1.04320 + 0.279525i
\(403\) 11.6310 11.6310i 0.579382 0.579382i
\(404\) 0.568630 0.984896i 0.0282904 0.0490004i
\(405\) −0.302626 1.12941i −0.0150376 0.0561211i
\(406\) 4.85624 2.80375i 0.241011 0.139148i
\(407\) −16.0426 27.7866i −0.795203 1.37733i
\(408\) 27.6209 6.87771i 1.36744 0.340497i
\(409\) −13.3217 −0.658714 −0.329357 0.944206i \(-0.606832\pi\)
−0.329357 + 0.944206i \(0.606832\pi\)
\(410\) 0.0934750 0.0539678i 0.00461640 0.00266528i
\(411\) −20.1152 5.38986i −0.992211 0.265862i
\(412\) 0.328200 0.568459i 0.0161693 0.0280060i
\(413\) −2.28043 8.51069i −0.112213 0.418784i
\(414\) −21.9879 21.9879i −1.08065 1.08065i
\(415\) 1.64979 0.442060i 0.0809850 0.0216999i
\(416\) 1.95851 + 1.13075i 0.0960238 + 0.0554394i
\(417\) −32.8941 18.9914i −1.61083 0.930013i
\(418\) 0.226846 0.846601i 0.0110954 0.0414086i
\(419\) −7.23311 7.23311i −0.353360 0.353360i 0.507998 0.861358i \(-0.330386\pi\)
−0.861358 + 0.507998i \(0.830386\pi\)
\(420\) 0.0209484 + 0.00561311i 0.00102218 + 0.000273892i
\(421\) 9.94293 17.2217i 0.484589 0.839333i −0.515254 0.857037i \(-0.672303\pi\)
0.999843 + 0.0177046i \(0.00563585\pi\)
\(422\) 10.9144 10.9144i 0.531304 0.531304i
\(423\) 3.63219 + 2.09705i 0.176603 + 0.101962i
\(424\) 3.36416 + 5.82690i 0.163378 + 0.282979i
\(425\) −0.364579 + 20.5273i −0.0176847 + 0.995722i
\(426\) 31.6820 1.53500
\(427\) 2.47886 1.43117i 0.119961 0.0692593i
\(428\) −0.793370 + 0.793370i −0.0383490 + 0.0383490i
\(429\) −31.4380 −1.51784
\(430\) −0.181075 + 1.34979i −0.00873223 + 0.0650926i
\(431\) 17.4139 + 17.4139i 0.838800 + 0.838800i 0.988701 0.149901i \(-0.0478954\pi\)
−0.149901 + 0.988701i \(0.547895\pi\)
\(432\) 1.93700 + 1.93700i 0.0931939 + 0.0931939i
\(433\) −8.34710 + 4.81920i −0.401136 + 0.231596i −0.686974 0.726682i \(-0.741061\pi\)
0.285838 + 0.958278i \(0.407728\pi\)
\(434\) 3.59092i 0.172370i
\(435\) 0.555886 2.07459i 0.0266527 0.0994692i
\(436\) −0.261354 + 0.975386i −0.0125166 + 0.0467125i
\(437\) −0.353279 1.31846i −0.0168996 0.0630703i
\(438\) −47.8949 −2.28851
\(439\) −4.06389 15.1666i −0.193959 0.723865i −0.992534 0.121969i \(-0.961079\pi\)
0.798575 0.601895i \(-0.205588\pi\)
\(440\) 1.00296 0.579057i 0.0478141 0.0276055i
\(441\) −21.4634 −1.02207
\(442\) −0.455076 + 25.6227i −0.0216458 + 1.21875i
\(443\) 7.86996 13.6312i 0.373913 0.647636i −0.616251 0.787550i \(-0.711349\pi\)
0.990164 + 0.139914i \(0.0446825\pi\)
\(444\) −2.21445 1.27851i −0.105093 0.0606754i
\(445\) −0.132649 0.495053i −0.00628817 0.0234678i
\(446\) −16.1536 −0.764895
\(447\) 4.15369 + 15.5018i 0.196463 + 0.733209i
\(448\) −4.75485 + 1.27406i −0.224646 + 0.0601936i
\(449\) 9.81602 36.6339i 0.463247 1.72886i −0.199391 0.979920i \(-0.563896\pi\)
0.662638 0.748940i \(-0.269437\pi\)
\(450\) −20.3514 + 11.7499i −0.959374 + 0.553895i
\(451\) 1.51980i 0.0715646i
\(452\) 0.734812 + 0.734812i 0.0345626 + 0.0345626i
\(453\) 6.40043 23.8867i 0.300719 1.12230i
\(454\) 9.07836 + 2.43254i 0.426069 + 0.114165i
\(455\) 0.199891 0.346222i 0.00937104 0.0162311i
\(456\) 0.370155 + 1.38144i 0.0173341 + 0.0646918i
\(457\) 41.3603i 1.93475i −0.253340 0.967377i \(-0.581529\pi\)
0.253340 0.967377i \(-0.418471\pi\)
\(458\) 0.966474 1.67398i 0.0451604 0.0782200i
\(459\) −0.746008 + 2.59864i −0.0348207 + 0.121294i
\(460\) −0.0440438 + 0.0762861i −0.00205355 + 0.00355686i
\(461\) 0.654390 0.377812i 0.0304780 0.0175965i −0.484684 0.874690i \(-0.661065\pi\)
0.515162 + 0.857093i \(0.327732\pi\)
\(462\) −4.85304 + 4.85304i −0.225784 + 0.225784i
\(463\) −2.68835 4.65635i −0.124938 0.216399i 0.796771 0.604282i \(-0.206540\pi\)
−0.921709 + 0.387883i \(0.873207\pi\)
\(464\) −6.46468 24.1265i −0.300115 1.12005i
\(465\) −0.972547 0.972547i −0.0451008 0.0451008i
\(466\) 37.6521 10.0888i 1.74420 0.467356i
\(467\) 25.2058 14.5526i 1.16639 0.673414i 0.213561 0.976930i \(-0.431494\pi\)
0.952826 + 0.303516i \(0.0981606\pi\)
\(468\) −1.13028 + 0.652570i −0.0522474 + 0.0301650i
\(469\) 2.74165 + 2.74165i 0.126598 + 0.126598i
\(470\) 0.0691114 0.257927i 0.00318787 0.0118973i
\(471\) 3.26361 3.26361i 0.150379 0.150379i
\(472\) −37.4967 −1.72593
\(473\) −15.1847 11.7110i −0.698194 0.538472i
\(474\) 4.20270i 0.193037i
\(475\) −1.03154 −0.0473304
\(476\) 0.172863 + 0.179114i 0.00792316 + 0.00820969i
\(477\) −7.95567 −0.364265
\(478\) −25.1253 + 14.5061i −1.14921 + 0.663494i
\(479\) −11.0756 2.96771i −0.506058 0.135598i −0.00324803 0.999995i \(-0.501034\pi\)
−0.502810 + 0.864397i \(0.667701\pi\)
\(480\) 0.0945493 0.163764i 0.00431556 0.00747478i
\(481\) −33.3300 + 33.3300i −1.51972 + 1.51972i
\(482\) 37.7796 10.1230i 1.72081 0.461090i
\(483\) −2.76638 + 10.3243i −0.125875 + 0.469770i
\(484\) 0.228015i 0.0103643i
\(485\) −1.38767 + 0.801172i −0.0630109 + 0.0363793i
\(486\) 31.2332 8.36891i 1.41677 0.379621i
\(487\) 7.16405 1.91960i 0.324634 0.0869854i −0.0928216 0.995683i \(-0.529589\pi\)
0.417455 + 0.908697i \(0.362922\pi\)
\(488\) −3.15276 11.7663i −0.142719 0.532634i
\(489\) 17.3251 0.783467
\(490\) 0.353680 + 1.31995i 0.0159777 + 0.0596294i
\(491\) 14.5743 + 8.41447i 0.657728 + 0.379740i 0.791411 0.611285i \(-0.209347\pi\)
−0.133683 + 0.991024i \(0.542680\pi\)
\(492\) 0.0605599 + 0.104893i 0.00273025 + 0.00472893i
\(493\) 17.7383 17.1192i 0.798893 0.771010i
\(494\) −1.28760 −0.0579317
\(495\) 1.36937i 0.0615486i
\(496\) −15.4501 4.13984i −0.693730 0.185884i
\(497\) −2.83644 4.91286i −0.127232 0.220372i
\(498\) 11.1489 + 41.6082i 0.499593 + 1.86451i
\(499\) −7.13947 + 1.91302i −0.319607 + 0.0856383i −0.415056 0.909796i \(-0.636238\pi\)
0.0954492 + 0.995434i \(0.469571\pi\)
\(500\) 0.0943393 + 0.0943393i 0.00421898 + 0.00421898i
\(501\) −33.2222 19.1809i −1.48426 0.856938i
\(502\) 15.1044 + 8.72054i 0.674143 + 0.389217i
\(503\) −18.7012 + 5.01097i −0.833845 + 0.223428i −0.650390 0.759600i \(-0.725395\pi\)
−0.183454 + 0.983028i \(0.558728\pi\)
\(504\) 1.50991 5.63505i 0.0672566 0.251005i
\(505\) −1.23952 + 1.23952i −0.0551579 + 0.0551579i
\(506\) −13.9382 24.1416i −0.619627 1.07323i
\(507\) 3.53381 + 13.1883i 0.156942 + 0.585715i
\(508\) 2.07843i 0.0922153i
\(509\) −7.37027 + 12.7657i −0.326681 + 0.565829i −0.981851 0.189653i \(-0.939264\pi\)
0.655170 + 0.755482i \(0.272597\pi\)
\(510\) 2.14249 + 0.0380520i 0.0948709 + 0.00168497i
\(511\) 4.28795 + 7.42695i 0.189688 + 0.328549i
\(512\) 20.8511i 0.921496i
\(513\) −0.131212 0.0351581i −0.00579315 0.00155227i
\(514\) 7.07062 0.311872
\(515\) −0.715423 + 0.715423i −0.0315253 + 0.0315253i
\(516\) −1.51466 0.203193i −0.0666793 0.00894509i
\(517\) 2.65864 + 2.65864i 0.116927 + 0.116927i
\(518\) 10.2902i 0.452126i
\(519\) −25.4505 + 14.6939i −1.11715 + 0.644989i
\(520\) −1.20304 1.20304i −0.0527569 0.0527569i
\(521\) 2.94757 11.0005i 0.129135 0.481940i −0.870818 0.491606i \(-0.836410\pi\)
0.999953 + 0.00966577i \(0.00307676\pi\)
\(522\) 27.2556 + 7.30312i 1.19295 + 0.319649i
\(523\) 19.5071 33.7872i 0.852985 1.47741i −0.0255173 0.999674i \(-0.508123\pi\)
0.878502 0.477739i \(-0.158543\pi\)
\(524\) −1.32474 + 1.32474i −0.0578713 + 0.0578713i
\(525\) 6.99538 + 4.03878i 0.305303 + 0.176267i
\(526\) 4.41221 + 7.64217i 0.192381 + 0.333214i
\(527\) −3.81442 15.3187i −0.166159 0.667295i
\(528\) 15.2855 + 26.4753i 0.665216 + 1.15219i
\(529\) −17.6784 10.2066i −0.768627 0.443767i
\(530\) 0.131096 + 0.489256i 0.00569443 + 0.0212519i
\(531\) 22.1683 38.3967i 0.962024 1.66627i
\(532\) −0.00884381 + 0.00884381i −0.000383428 + 0.000383428i
\(533\) 2.15663 0.577866i 0.0934139 0.0250302i
\(534\) 12.4854 3.34544i 0.540295 0.144772i
\(535\) 1.49772 0.864709i 0.0647521 0.0373846i
\(536\) 14.2900 8.25031i 0.617232 0.356359i
\(537\) −11.8669 11.8669i −0.512094 0.512094i
\(538\) −8.70361 8.70361i −0.375239 0.375239i
\(539\) −18.5858 4.98004i −0.800545 0.214505i
\(540\) 0.00438321 + 0.00759194i 0.000188623 + 0.000326705i
\(541\) −3.60002 13.4354i −0.154777 0.577635i −0.999124 0.0418390i \(-0.986678\pi\)
0.844348 0.535796i \(-0.179988\pi\)
\(542\) −26.1826 15.1165i −1.12464 0.649309i
\(543\) −52.4614 −2.25133
\(544\) 1.89863 1.05167i 0.0814033 0.0450901i
\(545\) 0.778237 1.34795i 0.0333360 0.0577397i
\(546\) 8.73180 + 5.04131i 0.373687 + 0.215748i
\(547\) 4.77105 + 1.27840i 0.203995 + 0.0546604i 0.359370 0.933195i \(-0.382992\pi\)
−0.155374 + 0.987856i \(0.549658\pi\)
\(548\) −0.775034 −0.0331078
\(549\) 13.9126 + 3.72787i 0.593775 + 0.159102i
\(550\) −20.3491 + 5.45252i −0.867687 + 0.232496i
\(551\) 0.875833 + 0.875833i 0.0373117 + 0.0373117i
\(552\) 39.3930 + 22.7435i 1.67668 + 0.968029i
\(553\) −0.651703 + 0.376261i −0.0277132 + 0.0160002i
\(554\) −10.6615 + 39.7891i −0.452962 + 1.69048i
\(555\) 2.78694 + 2.78694i 0.118299 + 0.118299i
\(556\) −1.36543 0.365866i −0.0579072 0.0155162i
\(557\) −8.61344 −0.364963 −0.182482 0.983209i \(-0.558413\pi\)
−0.182482 + 0.983209i \(0.558413\pi\)
\(558\) 12.7771 12.7771i 0.540899 0.540899i
\(559\) −10.8445 + 26.0002i −0.458674 + 1.09969i
\(560\) −0.388757 −0.0164280
\(561\) −15.5478 + 25.8580i −0.656428 + 1.09172i
\(562\) −7.16619 12.4122i −0.302287 0.523577i
\(563\) 7.65445i 0.322596i 0.986906 + 0.161298i \(0.0515681\pi\)
−0.986906 + 0.161298i \(0.948432\pi\)
\(564\) 0.289433 + 0.0775533i 0.0121873 + 0.00326558i
\(565\) −0.800885 1.38717i −0.0336935 0.0583588i
\(566\) 1.65932 + 6.19266i 0.0697463 + 0.260297i
\(567\) −3.73366 3.73366i −0.156799 0.156799i
\(568\) −23.3195 + 6.24845i −0.978466 + 0.262179i
\(569\) −13.7128 + 7.91710i −0.574872 + 0.331902i −0.759093 0.650983i \(-0.774357\pi\)
0.184221 + 0.982885i \(0.441024\pi\)
\(570\) 0.107665i 0.00450958i
\(571\) −1.63415 + 6.09873i −0.0683870 + 0.255224i −0.991653 0.128938i \(-0.958843\pi\)
0.923266 + 0.384162i \(0.125510\pi\)
\(572\) −1.13015 + 0.302824i −0.0472541 + 0.0126617i
\(573\) −3.85194 14.3756i −0.160917 0.600550i
\(574\) 0.243711 0.422120i 0.0101723 0.0176189i
\(575\) −23.1992 + 23.1992i −0.967473 + 0.967473i
\(576\) −21.4519 12.3853i −0.893830 0.516053i
\(577\) −0.494075 + 0.855764i −0.0205686 + 0.0356259i −0.876127 0.482081i \(-0.839881\pi\)
0.855558 + 0.517707i \(0.173214\pi\)
\(578\) 20.8498 + 13.0461i 0.867237 + 0.542647i
\(579\) −11.4656 19.8590i −0.476493 0.825310i
\(580\) 0.0799335i 0.00331906i
\(581\) 5.45394 5.45394i 0.226267 0.226267i
\(582\) −20.2058 34.9974i −0.837556 1.45069i
\(583\) −6.88902 1.84591i −0.285314 0.0764497i
\(584\) 35.2530 9.44601i 1.45878 0.390879i
\(585\) 1.94316 0.520669i 0.0803400 0.0215270i
\(586\) 29.1240i 1.20310i
\(587\) 3.02815 + 1.74831i 0.124985 + 0.0721603i 0.561189 0.827688i \(-0.310344\pi\)
−0.436204 + 0.899848i \(0.643677\pi\)
\(588\) −1.48118 + 0.396882i −0.0610830 + 0.0163671i
\(589\) 0.766154 0.205290i 0.0315688 0.00845884i
\(590\) −2.72661 0.730593i −0.112253 0.0300780i
\(591\) 7.55508 0.310774
\(592\) 44.2740 + 11.8632i 1.81965 + 0.487574i
\(593\) 4.24243 + 2.44937i 0.174216 + 0.100584i 0.584572 0.811342i \(-0.301262\pi\)
−0.410356 + 0.911925i \(0.634596\pi\)
\(594\) −2.77423 −0.113828
\(595\) −0.185913 0.335637i −0.00762167 0.0137598i
\(596\) 0.298639 + 0.517259i 0.0122328 + 0.0211877i
\(597\) 41.2908 23.8393i 1.68992 0.975676i
\(598\) −28.9578 + 28.9578i −1.18417 + 1.18417i
\(599\) 6.44862 + 11.1693i 0.263483 + 0.456366i 0.967165 0.254149i \(-0.0817953\pi\)
−0.703682 + 0.710515i \(0.748462\pi\)
\(600\) 24.3074 24.3074i 0.992345 0.992345i
\(601\) 14.0284 + 14.0284i 0.572232 + 0.572232i 0.932752 0.360520i \(-0.117401\pi\)
−0.360520 + 0.932752i \(0.617401\pi\)
\(602\) 2.33957 + 5.68767i 0.0953536 + 0.231812i
\(603\) 19.5106i 0.794532i
\(604\) 0.920349i 0.0374485i
\(605\) 0.0909638 0.339481i 0.00369820 0.0138019i
\(606\) −31.2610 31.2610i −1.26989 1.26989i
\(607\) −18.0837 4.84551i −0.733994 0.196673i −0.127587 0.991827i \(-0.540723\pi\)
−0.606407 + 0.795154i \(0.707390\pi\)
\(608\) 0.0545262 + 0.0944421i 0.00221133 + 0.00383013i
\(609\) −2.51030 9.36857i −0.101722 0.379634i
\(610\) 0.917023i 0.0371292i
\(611\) 2.76179 4.78355i 0.111730 0.193522i
\(612\) −0.0222434 + 1.25240i −0.000899136 + 0.0506251i
\(613\) 4.86033 0.196307 0.0981534 0.995171i \(-0.468706\pi\)
0.0981534 + 0.995171i \(0.468706\pi\)
\(614\) 35.7751 20.6548i 1.44377 0.833559i
\(615\) −0.0483193 0.180330i −0.00194842 0.00727161i
\(616\) 2.61494 4.52921i 0.105359 0.182487i
\(617\) 2.52612 + 9.42759i 0.101698 + 0.379541i 0.997950 0.0640046i \(-0.0203872\pi\)
−0.896252 + 0.443545i \(0.853721\pi\)
\(618\) −18.0432 18.0432i −0.725802 0.725802i
\(619\) 10.8373 2.90384i 0.435587 0.116715i −0.0343606 0.999409i \(-0.510939\pi\)
0.469948 + 0.882694i \(0.344273\pi\)
\(620\) −0.0443298 0.0255938i −0.00178033 0.00102787i
\(621\) −3.74163 + 2.16023i −0.150146 + 0.0866871i
\(622\) 2.50606 9.35276i 0.100484 0.375011i
\(623\) −1.63656 1.63656i −0.0655675 0.0655675i
\(624\) 31.7570 31.7570i 1.27130 1.27130i
\(625\) 12.3457 + 21.3833i 0.493826 + 0.855332i
\(626\) 8.84775 + 2.37075i 0.353627 + 0.0947542i
\(627\) −1.31288 0.757992i −0.0524314 0.0302713i
\(628\) 0.0858861 0.148759i 0.00342723 0.00593614i
\(629\) 10.9307 + 43.8976i 0.435834 + 1.75031i
\(630\) 0.219589 0.380338i 0.00874862 0.0151530i
\(631\) 32.6083 + 18.8264i 1.29811 + 0.749467i 0.980078 0.198612i \(-0.0636432\pi\)
0.318036 + 0.948079i \(0.396977\pi\)
\(632\) 0.828873 + 3.09340i 0.0329708 + 0.123049i
\(633\) −13.3489 23.1209i −0.530569 0.918973i
\(634\) 23.2758 23.2758i 0.924399 0.924399i
\(635\) 0.829164 3.09448i 0.0329044 0.122801i
\(636\) −0.549018 + 0.147109i −0.0217700 + 0.00583325i
\(637\) 28.2671i 1.11998i
\(638\) 21.9069 + 12.6479i 0.867301 + 0.500737i
\(639\) 7.38826 27.5734i 0.292275 1.09079i
\(640\) −0.447292 + 1.66932i −0.0176808 + 0.0659856i
\(641\) −3.12879 + 3.12879i −0.123580 + 0.123580i −0.766192 0.642612i \(-0.777851\pi\)
0.642612 + 0.766192i \(0.277851\pi\)
\(642\) 21.8082 + 37.7729i 0.860701 + 1.49078i
\(643\) 14.4212 14.4212i 0.568716 0.568716i −0.363053 0.931769i \(-0.618266\pi\)
0.931769 + 0.363053i \(0.118266\pi\)
\(644\) 0.397791i 0.0156752i
\(645\) 2.17405 + 0.906782i 0.0856033 + 0.0357045i
\(646\) −0.636786 + 1.05906i −0.0250540 + 0.0416680i
\(647\) −25.2398 −0.992281 −0.496140 0.868242i \(-0.665250\pi\)
−0.496140 + 0.868242i \(0.665250\pi\)
\(648\) −19.4605 + 11.2355i −0.764479 + 0.441372i
\(649\) 28.1051 28.1051i 1.10322 1.10322i
\(650\) 15.4745 + 26.8026i 0.606958 + 1.05128i
\(651\) −5.99942 1.60754i −0.235136 0.0630045i
\(652\) 0.622814 0.166883i 0.0243913 0.00653563i
\(653\) 13.6547 + 13.6547i 0.534350 + 0.534350i 0.921864 0.387514i \(-0.126666\pi\)
−0.387514 + 0.921864i \(0.626666\pi\)
\(654\) 33.9956 + 19.6274i 1.32933 + 0.767490i
\(655\) 2.50083 1.44385i 0.0977154 0.0564160i
\(656\) −1.53522 1.53522i −0.0599403 0.0599403i
\(657\) −11.1691 + 41.6837i −0.435748 + 1.62623i
\(658\) −0.312097 1.16476i −0.0121668 0.0454072i
\(659\) −8.13479 + 14.0899i −0.316886 + 0.548863i −0.979837 0.199800i \(-0.935971\pi\)
0.662950 + 0.748663i \(0.269304\pi\)
\(660\) 0.0253212 + 0.0944998i 0.000985624 + 0.00367840i
\(661\) 12.6874i 0.493482i 0.969081 + 0.246741i \(0.0793598\pi\)
−0.969081 + 0.246741i \(0.920640\pi\)
\(662\) 20.5255 35.5511i 0.797744 1.38173i
\(663\) 42.6046 + 12.2308i 1.65463 + 0.475004i
\(664\) −16.4122 28.4268i −0.636918 1.10318i
\(665\) 0.0166953 0.00963903i 0.000647416 0.000373786i
\(666\) −36.6144 + 36.6144i −1.41878 + 1.41878i
\(667\) 39.3946 1.52536
\(668\) −1.37905 0.369516i −0.0533572 0.0142970i
\(669\) −7.23144 + 26.9881i −0.279584 + 1.04342i
\(670\) 1.19986 0.321501i 0.0463545 0.0124207i
\(671\) 11.1823 + 6.45612i 0.431689 + 0.249236i
\(672\) 0.853942i 0.0329415i
\(673\) −41.8210 + 11.2059i −1.61208 + 0.431956i −0.948662 0.316292i \(-0.897562\pi\)
−0.663420 + 0.748248i \(0.730896\pi\)
\(674\) −14.7874 + 3.96226i −0.569587 + 0.152620i
\(675\) 0.845068 + 3.15383i 0.0325267 + 0.121391i
\(676\) 0.254071 + 0.440065i 0.00977198 + 0.0169256i
\(677\) 3.85789 3.85789i 0.148271 0.148271i −0.629074 0.777345i \(-0.716566\pi\)
0.777345 + 0.629074i \(0.216566\pi\)
\(678\) 34.9849 20.1985i 1.34359 0.775720i
\(679\) −3.61798 + 6.26652i −0.138845 + 0.240487i
\(680\) −1.58448 + 0.394541i −0.0607620 + 0.0151300i
\(681\) 8.12818 14.0784i 0.311473 0.539486i
\(682\) 14.0287 8.09946i 0.537186 0.310144i
\(683\) −17.1168 4.58643i −0.654956 0.175495i −0.0839875 0.996467i \(-0.526766\pi\)
−0.570969 + 0.820972i \(0.693432\pi\)
\(684\) −0.0629356 −0.00240640
\(685\) 1.15391 + 0.309190i 0.0440888 + 0.0118136i
\(686\) 9.00579 + 9.00579i 0.343843 + 0.343843i
\(687\) −2.36409 2.36409i −0.0901958 0.0901958i
\(688\) 27.1686 3.50898i 1.03579 0.133779i
\(689\) 10.4775i 0.399162i
\(690\) 2.42136 + 2.42136i 0.0921794 + 0.0921794i
\(691\) 4.84981 18.0997i 0.184495 0.688546i −0.810243 0.586095i \(-0.800665\pi\)
0.994738 0.102451i \(-0.0326686\pi\)
\(692\) −0.773375 + 0.773375i −0.0293993 + 0.0293993i
\(693\) 3.09194 + 5.35540i 0.117453 + 0.203435i
\(694\) 46.1953 + 12.3780i 1.75355 + 0.469862i
\(695\) 1.88697 + 1.08945i 0.0715770 + 0.0413250i
\(696\) −41.2764 −1.56458
\(697\) 0.591269 2.05963i 0.0223959 0.0780139i
\(698\) 5.38267 + 9.32305i 0.203737 + 0.352883i
\(699\) 67.4224i 2.55015i
\(700\) 0.290378 + 0.0778066i 0.0109753 + 0.00294081i
\(701\) −20.1120 + 34.8351i −0.759621 + 1.31570i 0.183423 + 0.983034i \(0.441282\pi\)
−0.943044 + 0.332668i \(0.892051\pi\)
\(702\) 1.05483 + 3.93669i 0.0398121 + 0.148581i
\(703\) −2.19550 + 0.588283i −0.0828049 + 0.0221875i
\(704\) −15.7021 15.7021i −0.591796 0.591796i
\(705\) −0.399985 0.230931i −0.0150643 0.00869738i
\(706\) −40.0876 23.1446i −1.50872 0.871058i
\(707\) −2.04883 + 7.64632i −0.0770540 + 0.287570i
\(708\) 0.819834 3.05966i 0.0308112 0.114989i
\(709\) 3.70779 3.70779i 0.139249 0.139249i −0.634046 0.773295i \(-0.718607\pi\)
0.773295 + 0.634046i \(0.218607\pi\)
\(710\) −1.81745 −0.0682075
\(711\) −3.65768 0.980071i −0.137174 0.0367555i
\(712\) −8.53004 + 4.92482i −0.319677 + 0.184566i
\(713\) 12.6137 21.8476i 0.472387 0.818199i
\(714\) 8.46486 4.68877i 0.316789 0.175473i
\(715\) 1.80345 0.0674451
\(716\) −0.540906 0.312292i −0.0202146 0.0116709i
\(717\) 12.9878 + 48.4713i 0.485040 + 1.81019i
\(718\) 17.4010 30.1393i 0.649398 1.12479i
\(719\) −39.0566 10.4652i −1.45656 0.390285i −0.558263 0.829664i \(-0.688532\pi\)
−0.898302 + 0.439379i \(0.855199\pi\)
\(720\) −1.38327 1.38327i −0.0515513 0.0515513i
\(721\) −1.18254 + 4.41328i −0.0440399 + 0.164359i
\(722\) 23.7520 + 13.7132i 0.883958 + 0.510354i
\(723\) 67.6508i 2.51596i
\(724\) −1.88592 + 0.505330i −0.0700896 + 0.0187805i
\(725\) 7.70545 28.7571i 0.286173 1.06801i
\(726\) 8.56181 + 2.29413i 0.317759 + 0.0851432i
\(727\) 25.2249 0.935541 0.467771 0.883850i \(-0.345057\pi\)
0.467771 + 0.883850i \(0.345057\pi\)
\(728\) −7.42130 1.98853i −0.275052 0.0736999i
\(729\) 31.4927i 1.16640i
\(730\) 2.74750 0.101690
\(731\) 16.0222 + 21.7782i 0.592601 + 0.805496i
\(732\) 1.02904 0.0380343
\(733\) 31.2293i 1.15348i −0.816928 0.576740i \(-0.804325\pi\)
0.816928 0.576740i \(-0.195675\pi\)
\(734\) 26.8764 + 7.20151i 0.992026 + 0.265812i
\(735\) 2.36360 0.0871828
\(736\) 3.35027 + 0.897701i 0.123492 + 0.0330897i
\(737\) −4.52693 + 16.8947i −0.166751 + 0.622325i
\(738\) 2.36914 0.634810i 0.0872093 0.0233677i
\(739\) 21.4830i 0.790266i 0.918624 + 0.395133i \(0.129302\pi\)
−0.918624 + 0.395133i \(0.870698\pi\)
\(740\) 0.127032 + 0.0733420i 0.00466979 + 0.00269611i
\(741\) −0.576416 + 2.15121i −0.0211752 + 0.0790268i
\(742\) 1.61740 + 1.61740i 0.0593766 + 0.0593766i
\(743\) 17.4445 + 4.67424i 0.639977 + 0.171481i 0.564193 0.825643i \(-0.309187\pi\)
0.0757838 + 0.997124i \(0.475854\pi\)
\(744\) −13.2163 + 22.8912i −0.484531 + 0.839233i
\(745\) −0.238277 0.889263i −0.00872980 0.0325801i
\(746\) −44.4126 25.6416i −1.62606 0.938807i
\(747\) 38.8121 1.42006
\(748\) −0.309848 + 1.07932i −0.0113292 + 0.0394639i
\(749\) 3.90490 6.76349i 0.142682 0.247132i
\(750\) 4.49156 2.59320i 0.164009 0.0946904i
\(751\) 4.85037 + 1.29965i 0.176993 + 0.0474250i 0.346227 0.938151i \(-0.387463\pi\)
−0.169234 + 0.985576i \(0.554129\pi\)
\(752\) −5.37124 −0.195869
\(753\) 21.3313 21.3313i 0.777357 0.777357i
\(754\) 9.61813 35.8954i 0.350272 1.30723i
\(755\) −0.367162 + 1.37027i −0.0133624 + 0.0498691i
\(756\) 0.0342841 + 0.0197939i 0.00124690 + 0.000719899i