Properties

Label 273.2.cd.e.44.4
Level $273$
Weight $2$
Character 273.44
Analytic conductor $2.180$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 44.4
Character \(\chi\) \(=\) 273.44
Dual form 273.2.cd.e.242.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.19229 + 0.587422i) q^{2} +(-1.51343 + 0.842335i) q^{3} +(2.72902 - 1.57560i) q^{4} +(0.959762 - 0.257167i) q^{5} +(2.82307 - 2.73567i) q^{6} +(-2.15459 + 1.53549i) q^{7} +(-1.84753 + 1.84753i) q^{8} +(1.58094 - 2.54963i) q^{9} +O(q^{10})\) \(q+(-2.19229 + 0.587422i) q^{2} +(-1.51343 + 0.842335i) q^{3} +(2.72902 - 1.57560i) q^{4} +(0.959762 - 0.257167i) q^{5} +(2.82307 - 2.73567i) q^{6} +(-2.15459 + 1.53549i) q^{7} +(-1.84753 + 1.84753i) q^{8} +(1.58094 - 2.54963i) q^{9} +(-1.95301 + 1.12757i) q^{10} +(4.64145 + 1.24367i) q^{11} +(-2.80300 + 4.68331i) q^{12} +(2.61037 + 2.48716i) q^{13} +(3.82151 - 4.63189i) q^{14} +(-1.23591 + 1.19765i) q^{15} +(-0.186167 + 0.322451i) q^{16} +(-3.01497 - 5.22208i) q^{17} +(-1.96818 + 6.51821i) q^{18} +(0.269277 + 1.00496i) q^{19} +(2.21402 - 2.21402i) q^{20} +(1.96743 - 4.13875i) q^{21} -10.9060 q^{22} +(-4.04438 + 7.00507i) q^{23} +(1.23987 - 4.35234i) q^{24} +(-3.47512 + 2.00636i) q^{25} +(-7.18370 - 3.91919i) q^{26} +(-0.245007 + 5.19037i) q^{27} +(-3.46061 + 7.58516i) q^{28} +8.64500i q^{29} +(2.00595 - 3.35159i) q^{30} +(-4.64428 - 1.24443i) q^{31} +(1.57120 - 5.86380i) q^{32} +(-8.07209 + 2.02744i) q^{33} +(9.67726 + 9.67726i) q^{34} +(-1.67302 + 2.02780i) q^{35} +(0.297229 - 9.44893i) q^{36} +(3.20687 - 0.859279i) q^{37} +(-1.18067 - 2.04498i) q^{38} +(-6.04563 - 1.56534i) q^{39} +(-1.29806 + 2.24831i) q^{40} +(-1.07575 - 1.07575i) q^{41} +(-1.88199 + 10.2290i) q^{42} +3.62015i q^{43} +(14.6261 - 3.91906i) q^{44} +(0.861648 - 2.85361i) q^{45} +(4.75152 - 17.7329i) q^{46} +(1.27963 + 4.77564i) q^{47} +(0.0101394 - 0.644823i) q^{48} +(2.28455 - 6.61671i) q^{49} +(6.43989 - 6.43989i) q^{50} +(8.96169 + 5.36365i) q^{51} +(11.0425 + 2.67462i) q^{52} +(-1.07485 + 0.620567i) q^{53} +(-2.51182 - 11.5227i) q^{54} +4.77451 q^{55} +(1.14381 - 6.81752i) q^{56} +(-1.25404 - 1.29411i) q^{57} +(-5.07827 - 18.9524i) q^{58} +(2.62988 + 0.704673i) q^{59} +(-1.48582 + 5.21570i) q^{60} +(-1.70491 + 2.95300i) q^{61} +10.9126 q^{62} +(0.508638 + 7.92094i) q^{63} +13.0334i q^{64} +(3.14495 + 1.71578i) q^{65} +(16.5054 - 9.18647i) q^{66} +(5.64922 + 1.51370i) q^{67} +(-16.4558 - 9.50078i) q^{68} +(0.220273 - 14.0084i) q^{69} +(2.47657 - 5.42828i) q^{70} +(7.65674 + 7.65674i) q^{71} +(1.78967 + 7.63134i) q^{72} +(-1.40500 + 5.24352i) q^{73} +(-6.52564 + 3.76758i) q^{74} +(3.56932 - 5.96370i) q^{75} +(2.31827 + 2.31827i) q^{76} +(-11.9101 + 4.44728i) q^{77} +(14.1733 - 0.119656i) q^{78} +(-4.42329 + 7.66137i) q^{79} +(-0.0957524 + 0.357353i) q^{80} +(-4.00123 - 8.06165i) q^{81} +(2.99027 + 1.72643i) q^{82} +(-3.07191 - 3.07191i) q^{83} +(-1.15185 - 14.3946i) q^{84} +(-4.23661 - 4.23661i) q^{85} +(-2.12656 - 7.93643i) q^{86} +(-7.28199 - 13.0836i) q^{87} +(-10.8729 + 6.27747i) q^{88} +(-1.08954 - 4.06621i) q^{89} +(-0.212711 + 6.76208i) q^{90} +(-9.44329 - 1.35063i) q^{91} +25.4893i q^{92} +(8.07702 - 2.02868i) q^{93} +(-5.61064 - 9.71791i) q^{94} +(0.516884 + 0.895270i) q^{95} +(2.56138 + 10.1979i) q^{96} +(6.16461 - 6.16461i) q^{97} +(-1.12158 + 15.8477i) q^{98} +(10.5088 - 9.86780i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.19229 + 0.587422i −1.55018 + 0.415370i −0.929540 0.368722i \(-0.879795\pi\)
−0.620644 + 0.784093i \(0.713129\pi\)
\(3\) −1.51343 + 0.842335i −0.873780 + 0.486322i
\(4\) 2.72902 1.57560i 1.36451 0.787800i
\(5\) 0.959762 0.257167i 0.429219 0.115009i −0.0377407 0.999288i \(-0.512016\pi\)
0.466959 + 0.884279i \(0.345349\pi\)
\(6\) 2.82307 2.73567i 1.15251 1.11683i
\(7\) −2.15459 + 1.53549i −0.814360 + 0.580360i
\(8\) −1.84753 + 1.84753i −0.653199 + 0.653199i
\(9\) 1.58094 2.54963i 0.526981 0.849877i
\(10\) −1.95301 + 1.12757i −0.617596 + 0.356569i
\(11\) 4.64145 + 1.24367i 1.39945 + 0.374981i 0.878147 0.478391i \(-0.158780\pi\)
0.521302 + 0.853372i \(0.325447\pi\)
\(12\) −2.80300 + 4.68331i −0.809156 + 1.35196i
\(13\) 2.61037 + 2.48716i 0.723986 + 0.689815i
\(14\) 3.82151 4.63189i 1.02134 1.23793i
\(15\) −1.23591 + 1.19765i −0.319111 + 0.309231i
\(16\) −0.186167 + 0.322451i −0.0465419 + 0.0806129i
\(17\) −3.01497 5.22208i −0.731238 1.26654i −0.956354 0.292210i \(-0.905609\pi\)
0.225116 0.974332i \(-0.427724\pi\)
\(18\) −1.96818 + 6.51821i −0.463904 + 1.53636i
\(19\) 0.269277 + 1.00496i 0.0617764 + 0.230553i 0.989911 0.141693i \(-0.0452545\pi\)
−0.928134 + 0.372246i \(0.878588\pi\)
\(20\) 2.21402 2.21402i 0.495069 0.495069i
\(21\) 1.96743 4.13875i 0.429329 0.903148i
\(22\) −10.9060 −2.32516
\(23\) −4.04438 + 7.00507i −0.843312 + 1.46066i 0.0437676 + 0.999042i \(0.486064\pi\)
−0.887079 + 0.461617i \(0.847269\pi\)
\(24\) 1.23987 4.35234i 0.253087 0.888417i
\(25\) −3.47512 + 2.00636i −0.695024 + 0.401272i
\(26\) −7.18370 3.91919i −1.40884 0.768617i
\(27\) −0.245007 + 5.19037i −0.0471516 + 0.998888i
\(28\) −3.46061 + 7.58516i −0.653994 + 1.43346i
\(29\) 8.64500i 1.60534i 0.596426 + 0.802668i \(0.296587\pi\)
−0.596426 + 0.802668i \(0.703413\pi\)
\(30\) 2.00595 3.35159i 0.366235 0.611914i
\(31\) −4.64428 1.24443i −0.834137 0.223506i −0.183619 0.982997i \(-0.558781\pi\)
−0.650518 + 0.759491i \(0.725448\pi\)
\(32\) 1.57120 5.86380i 0.277752 1.03658i
\(33\) −8.07209 + 2.02744i −1.40517 + 0.352932i
\(34\) 9.67726 + 9.67726i 1.65964 + 1.65964i
\(35\) −1.67302 + 2.02780i −0.282792 + 0.342760i
\(36\) 0.297229 9.44893i 0.0495382 1.57482i
\(37\) 3.20687 0.859279i 0.527207 0.141265i 0.0146086 0.999893i \(-0.495350\pi\)
0.512598 + 0.858629i \(0.328683\pi\)
\(38\) −1.18067 2.04498i −0.191530 0.331739i
\(39\) −6.04563 1.56534i −0.968076 0.250655i
\(40\) −1.29806 + 2.24831i −0.205241 + 0.355489i
\(41\) −1.07575 1.07575i −0.168003 0.168003i 0.618098 0.786101i \(-0.287904\pi\)
−0.786101 + 0.618098i \(0.787904\pi\)
\(42\) −1.88199 + 10.2290i −0.290397 + 1.57838i
\(43\) 3.62015i 0.552068i 0.961148 + 0.276034i \(0.0890203\pi\)
−0.961148 + 0.276034i \(0.910980\pi\)
\(44\) 14.6261 3.91906i 2.20497 0.590820i
\(45\) 0.861648 2.85361i 0.128447 0.425390i
\(46\) 4.75152 17.7329i 0.700573 2.61458i
\(47\) 1.27963 + 4.77564i 0.186653 + 0.696599i 0.994271 + 0.106892i \(0.0340900\pi\)
−0.807617 + 0.589707i \(0.799243\pi\)
\(48\) 0.0101394 0.644823i 0.00146350 0.0930722i
\(49\) 2.28455 6.61671i 0.326364 0.945244i
\(50\) 6.43989 6.43989i 0.910738 0.910738i
\(51\) 8.96169 + 5.36365i 1.25489 + 0.751061i
\(52\) 11.0425 + 2.67462i 1.53132 + 0.370903i
\(53\) −1.07485 + 0.620567i −0.147643 + 0.0852415i −0.572001 0.820253i \(-0.693833\pi\)
0.424359 + 0.905494i \(0.360499\pi\)
\(54\) −2.51182 11.5227i −0.341815 1.56804i
\(55\) 4.77451 0.643795
\(56\) 1.14381 6.81752i 0.152848 0.911029i
\(57\) −1.25404 1.29411i −0.166102 0.171409i
\(58\) −5.07827 18.9524i −0.666809 2.48857i
\(59\) 2.62988 + 0.704673i 0.342381 + 0.0917406i 0.425912 0.904765i \(-0.359953\pi\)
−0.0835315 + 0.996505i \(0.526620\pi\)
\(60\) −1.48582 + 5.21570i −0.191818 + 0.673344i
\(61\) −1.70491 + 2.95300i −0.218292 + 0.378093i −0.954286 0.298896i \(-0.903382\pi\)
0.735994 + 0.676988i \(0.236715\pi\)
\(62\) 10.9126 1.38590
\(63\) 0.508638 + 7.92094i 0.0640824 + 0.997945i
\(64\) 13.0334i 1.62918i
\(65\) 3.14495 + 1.71578i 0.390083 + 0.212817i
\(66\) 16.5054 9.18647i 2.03168 1.13078i
\(67\) 5.64922 + 1.51370i 0.690162 + 0.184928i 0.586820 0.809718i \(-0.300380\pi\)
0.103342 + 0.994646i \(0.467046\pi\)
\(68\) −16.4558 9.50078i −1.99556 1.15214i
\(69\) 0.220273 14.0084i 0.0265177 1.68641i
\(70\) 2.47657 5.42828i 0.296007 0.648804i
\(71\) 7.65674 + 7.65674i 0.908688 + 0.908688i 0.996166 0.0874786i \(-0.0278809\pi\)
−0.0874786 + 0.996166i \(0.527881\pi\)
\(72\) 1.78967 + 7.63134i 0.210915 + 0.899362i
\(73\) −1.40500 + 5.24352i −0.164442 + 0.613707i 0.833668 + 0.552266i \(0.186237\pi\)
−0.998111 + 0.0614419i \(0.980430\pi\)
\(74\) −6.52564 + 3.76758i −0.758590 + 0.437972i
\(75\) 3.56932 5.96370i 0.412150 0.688629i
\(76\) 2.31827 + 2.31827i 0.265924 + 0.265924i
\(77\) −11.9101 + 4.44728i −1.35728 + 0.506815i
\(78\) 14.1733 0.119656i 1.60481 0.0135484i
\(79\) −4.42329 + 7.66137i −0.497660 + 0.861972i −0.999996 0.00270045i \(-0.999140\pi\)
0.502337 + 0.864672i \(0.332474\pi\)
\(80\) −0.0957524 + 0.357353i −0.0107054 + 0.0399533i
\(81\) −4.00123 8.06165i −0.444581 0.895739i
\(82\) 2.99027 + 1.72643i 0.330220 + 0.190652i
\(83\) −3.07191 3.07191i −0.337186 0.337186i 0.518121 0.855307i \(-0.326632\pi\)
−0.855307 + 0.518121i \(0.826632\pi\)
\(84\) −1.15185 14.3946i −0.125677 1.57058i
\(85\) −4.23661 4.23661i −0.459524 0.459524i
\(86\) −2.12656 7.93643i −0.229313 0.855807i
\(87\) −7.28199 13.0836i −0.780711 1.40271i
\(88\) −10.8729 + 6.27747i −1.15906 + 0.669181i
\(89\) −1.08954 4.06621i −0.115491 0.431017i 0.883832 0.467804i \(-0.154955\pi\)
−0.999323 + 0.0367864i \(0.988288\pi\)
\(90\) −0.212711 + 6.76208i −0.0224217 + 0.712786i
\(91\) −9.44329 1.35063i −0.989926 0.141585i
\(92\) 25.4893i 2.65744i
\(93\) 8.07702 2.02868i 0.837548 0.210364i
\(94\) −5.61064 9.71791i −0.578693 1.00233i
\(95\) 0.516884 + 0.895270i 0.0530312 + 0.0918527i
\(96\) 2.56138 + 10.1979i 0.261420 + 1.04082i
\(97\) 6.16461 6.16461i 0.625922 0.625922i −0.321118 0.947039i \(-0.604059\pi\)
0.947039 + 0.321118i \(0.104059\pi\)
\(98\) −1.12158 + 15.8477i −0.113297 + 1.60086i
\(99\) 10.5088 9.86780i 1.05617 0.991751i
\(100\) −6.32245 + 10.9508i −0.632245 + 1.09508i
\(101\) 1.32460 + 2.29428i 0.131803 + 0.228289i 0.924372 0.381493i \(-0.124590\pi\)
−0.792569 + 0.609783i \(0.791257\pi\)
\(102\) −22.7974 6.49437i −2.25728 0.643038i
\(103\) 8.18210 + 4.72394i 0.806206 + 0.465464i 0.845637 0.533759i \(-0.179221\pi\)
−0.0394303 + 0.999222i \(0.512554\pi\)
\(104\) −9.41782 + 0.227627i −0.923493 + 0.0223207i
\(105\) 0.823915 4.47817i 0.0804059 0.437025i
\(106\) 1.99186 1.99186i 0.193466 0.193466i
\(107\) −4.82979 2.78848i −0.466914 0.269573i 0.248033 0.968752i \(-0.420216\pi\)
−0.714947 + 0.699179i \(0.753549\pi\)
\(108\) 7.50933 + 14.5507i 0.722585 + 1.40014i
\(109\) 3.11104 + 0.833602i 0.297984 + 0.0798446i 0.404714 0.914444i \(-0.367371\pi\)
−0.106730 + 0.994288i \(0.534038\pi\)
\(110\) −10.4671 + 2.80466i −0.998001 + 0.267414i
\(111\) −4.12958 + 4.00172i −0.391962 + 0.379826i
\(112\) −0.0940056 0.980610i −0.00888269 0.0926589i
\(113\) 5.11472i 0.481152i −0.970630 0.240576i \(-0.922664\pi\)
0.970630 0.240576i \(-0.0773363\pi\)
\(114\) 3.50941 + 2.10041i 0.328687 + 0.196722i
\(115\) −2.08017 + 7.76329i −0.193976 + 0.723930i
\(116\) 13.6211 + 23.5924i 1.26468 + 2.19050i
\(117\) 10.4682 2.72341i 0.967785 0.251779i
\(118\) −6.17939 −0.568859
\(119\) 14.5145 + 6.62201i 1.33054 + 0.607039i
\(120\) 0.0706974 4.49606i 0.00645376 0.410432i
\(121\) 10.4700 + 6.04487i 0.951820 + 0.549534i
\(122\) 2.00301 7.47533i 0.181344 0.676785i
\(123\) 2.53421 + 0.721929i 0.228502 + 0.0650942i
\(124\) −14.6350 + 3.92145i −1.31427 + 0.352157i
\(125\) −6.33229 + 6.33229i −0.566377 + 0.566377i
\(126\) −5.76802 17.0662i −0.513856 1.52038i
\(127\) 8.23094i 0.730378i −0.930933 0.365189i \(-0.881004\pi\)
0.930933 0.365189i \(-0.118996\pi\)
\(128\) −4.51373 16.8455i −0.398961 1.48894i
\(129\) −3.04938 5.47885i −0.268483 0.482386i
\(130\) −7.90253 1.91408i −0.693098 0.167876i
\(131\) −12.0285 6.94467i −1.05094 0.606758i −0.128025 0.991771i \(-0.540864\pi\)
−0.922911 + 0.385013i \(0.874197\pi\)
\(132\) −18.8345 + 18.2513i −1.63933 + 1.58857i
\(133\) −2.12328 1.75180i −0.184112 0.151900i
\(134\) −13.2739 −1.14669
\(135\) 1.09965 + 5.04453i 0.0946425 + 0.434164i
\(136\) 15.2182 + 4.07770i 1.30495 + 0.349660i
\(137\) 10.3804 + 2.78142i 0.886858 + 0.237633i 0.673364 0.739311i \(-0.264849\pi\)
0.213494 + 0.976944i \(0.431516\pi\)
\(138\) 7.74595 + 30.8399i 0.659379 + 2.62527i
\(139\) −22.6901 −1.92455 −0.962273 0.272085i \(-0.912287\pi\)
−0.962273 + 0.272085i \(0.912287\pi\)
\(140\) −1.37071 + 8.16990i −0.115846 + 0.690483i
\(141\) −5.95932 6.14973i −0.501865 0.517900i
\(142\) −21.2835 12.2881i −1.78607 1.03119i
\(143\) 9.02267 + 14.7905i 0.754514 + 1.23684i
\(144\) 0.527812 + 0.984436i 0.0439843 + 0.0820363i
\(145\) 2.22321 + 8.29714i 0.184628 + 0.689040i
\(146\) 12.3206i 1.01966i
\(147\) 2.11598 + 11.9383i 0.174523 + 0.984653i
\(148\) 7.39774 7.39774i 0.608091 0.608091i
\(149\) −4.14885 + 1.11168i −0.339887 + 0.0910725i −0.424725 0.905322i \(-0.639629\pi\)
0.0848382 + 0.996395i \(0.472963\pi\)
\(150\) −4.32178 + 15.1709i −0.352872 + 1.23870i
\(151\) 2.30084 8.58684i 0.187239 0.698787i −0.806901 0.590687i \(-0.798857\pi\)
0.994140 0.108100i \(-0.0344766\pi\)
\(152\) −2.35418 1.35919i −0.190949 0.110245i
\(153\) −18.0809 0.568760i −1.46175 0.0459815i
\(154\) 23.4979 16.7460i 1.89351 1.34943i
\(155\) −4.77743 −0.383732
\(156\) −18.9650 + 5.25365i −1.51842 + 0.420629i
\(157\) 2.93250 + 5.07924i 0.234039 + 0.405368i 0.958993 0.283430i \(-0.0914722\pi\)
−0.724954 + 0.688797i \(0.758139\pi\)
\(158\) 5.19668 19.3943i 0.413426 1.54293i
\(159\) 1.10399 1.84457i 0.0875522 0.146284i
\(160\) 6.03191i 0.476865i
\(161\) −2.04222 21.3032i −0.160949 1.67893i
\(162\) 13.5075 + 15.3231i 1.06125 + 1.20389i
\(163\) 17.3086 4.63783i 1.35571 0.363263i 0.493473 0.869761i \(-0.335727\pi\)
0.862241 + 0.506498i \(0.169060\pi\)
\(164\) −4.63068 1.24079i −0.361596 0.0968892i
\(165\) −7.22590 + 4.02174i −0.562535 + 0.313092i
\(166\) 8.53902 + 4.93000i 0.662756 + 0.382643i
\(167\) −3.79103 + 3.79103i −0.293359 + 0.293359i −0.838406 0.545047i \(-0.816512\pi\)
0.545047 + 0.838406i \(0.316512\pi\)
\(168\) 4.01156 + 11.2813i 0.309498 + 0.870372i
\(169\) 0.628049 + 12.9848i 0.0483115 + 0.998832i
\(170\) 11.7765 + 6.79919i 0.903220 + 0.521474i
\(171\) 2.98798 + 0.902223i 0.228497 + 0.0689947i
\(172\) 5.70391 + 9.87947i 0.434919 + 0.753303i
\(173\) 5.84509 10.1240i 0.444394 0.769713i −0.553616 0.832772i \(-0.686752\pi\)
0.998010 + 0.0630595i \(0.0200858\pi\)
\(174\) 23.6498 + 24.4055i 1.79289 + 1.85017i
\(175\) 4.40672 9.65890i 0.333117 0.730144i
\(176\) −1.26511 + 1.26511i −0.0953612 + 0.0953612i
\(177\) −4.57371 + 1.14876i −0.343781 + 0.0863463i
\(178\) 4.77716 + 8.27429i 0.358064 + 0.620184i
\(179\) 3.56463 + 6.17411i 0.266433 + 0.461475i 0.967938 0.251189i \(-0.0808217\pi\)
−0.701505 + 0.712664i \(0.747488\pi\)
\(180\) −2.14469 9.14516i −0.159856 0.681640i
\(181\) 13.2207i 0.982686i −0.870966 0.491343i \(-0.836506\pi\)
0.870966 0.491343i \(-0.163494\pi\)
\(182\) 21.4958 2.58623i 1.59338 0.191704i
\(183\) 0.0928562 5.90526i 0.00686413 0.436530i
\(184\) −5.46995 20.4141i −0.403250 1.50495i
\(185\) 2.85686 1.64941i 0.210040 0.121267i
\(186\) −16.5155 + 9.19207i −1.21097 + 0.673995i
\(187\) −7.49927 27.9877i −0.548401 2.04666i
\(188\) 11.0166 + 11.0166i 0.803471 + 0.803471i
\(189\) −7.44187 11.5593i −0.541317 0.840819i
\(190\) −1.65906 1.65906i −0.120361 0.120361i
\(191\) 2.81669 + 1.62622i 0.203808 + 0.117669i 0.598431 0.801175i \(-0.295791\pi\)
−0.394622 + 0.918843i \(0.629125\pi\)
\(192\) −10.9785 19.7252i −0.792306 1.42354i
\(193\) −6.49514 + 24.2402i −0.467531 + 1.74485i 0.180830 + 0.983514i \(0.442122\pi\)
−0.648360 + 0.761334i \(0.724545\pi\)
\(194\) −9.89339 + 17.1358i −0.710304 + 1.23028i
\(195\) −6.20493 + 0.0523841i −0.444344 + 0.00375130i
\(196\) −4.19072 21.6567i −0.299337 1.54690i
\(197\) 2.04689 + 2.04689i 0.145835 + 0.145835i 0.776255 0.630420i \(-0.217117\pi\)
−0.630420 + 0.776255i \(0.717117\pi\)
\(198\) −17.2417 + 27.8062i −1.22531 + 1.97610i
\(199\) 4.07388 2.35206i 0.288790 0.166733i −0.348606 0.937269i \(-0.613345\pi\)
0.637396 + 0.770536i \(0.280012\pi\)
\(200\) 2.71357 10.1272i 0.191878 0.716099i
\(201\) −9.82474 + 2.46765i −0.692984 + 0.174054i
\(202\) −4.25162 4.25162i −0.299143 0.299143i
\(203\) −13.2743 18.6265i −0.931674 1.30732i
\(204\) 32.9076 + 0.517449i 2.30399 + 0.0362287i
\(205\) −1.30911 0.755814i −0.0914321 0.0527883i
\(206\) −20.7125 5.54989i −1.44311 0.386679i
\(207\) 11.4664 + 21.3863i 0.796970 + 1.48645i
\(208\) −1.28795 + 0.378689i −0.0893036 + 0.0262573i
\(209\) 4.99934i 0.345812i
\(210\) 0.824315 + 10.3014i 0.0568832 + 0.710866i
\(211\) 18.9964 1.30776 0.653881 0.756597i \(-0.273140\pi\)
0.653881 + 0.756597i \(0.273140\pi\)
\(212\) −1.95553 + 3.38708i −0.134306 + 0.232626i
\(213\) −18.0375 5.13841i −1.23591 0.352078i
\(214\) 12.2263 + 3.27603i 0.835774 + 0.223945i
\(215\) 0.930986 + 3.47449i 0.0634927 + 0.236958i
\(216\) −9.13669 10.0420i −0.621673 0.683272i
\(217\) 11.9173 4.45000i 0.809002 0.302085i
\(218\) −7.30999 −0.495095
\(219\) −2.29043 9.11918i −0.154773 0.616217i
\(220\) 13.0297 7.52273i 0.878465 0.507182i
\(221\) 5.11798 21.1303i 0.344273 1.42138i
\(222\) 6.70254 11.1987i 0.449845 0.751610i
\(223\) 7.56742 7.56742i 0.506752 0.506752i −0.406776 0.913528i \(-0.633347\pi\)
0.913528 + 0.406776i \(0.133347\pi\)
\(224\) 5.61850 + 15.0467i 0.375402 + 1.00535i
\(225\) −0.378490 + 12.0322i −0.0252327 + 0.802148i
\(226\) 3.00450 + 11.2129i 0.199856 + 0.745874i
\(227\) −0.368103 + 1.37378i −0.0244318 + 0.0911808i −0.977065 0.212940i \(-0.931696\pi\)
0.952633 + 0.304121i \(0.0983627\pi\)
\(228\) −5.46131 1.55578i −0.361684 0.103034i
\(229\) 19.6652 5.26927i 1.29951 0.348203i 0.458247 0.888825i \(-0.348478\pi\)
0.841266 + 0.540621i \(0.181811\pi\)
\(230\) 18.2413i 1.20280i
\(231\) 14.2790 16.7629i 0.939487 1.10292i
\(232\) −15.9719 15.9719i −1.04860 1.04860i
\(233\) 0.464344 0.804267i 0.0304202 0.0526893i −0.850415 0.526113i \(-0.823649\pi\)
0.880835 + 0.473424i \(0.156982\pi\)
\(234\) −21.3495 + 12.1198i −1.39566 + 0.792293i
\(235\) 2.45628 + 4.25440i 0.160230 + 0.277526i
\(236\) 8.28727 2.22057i 0.539455 0.144547i
\(237\) 0.240910 15.3208i 0.0156488 0.995196i
\(238\) −35.7099 5.99123i −2.31473 0.388354i
\(239\) −11.6696 11.6696i −0.754842 0.754842i 0.220537 0.975379i \(-0.429219\pi\)
−0.975379 + 0.220537i \(0.929219\pi\)
\(240\) −0.156096 0.621484i −0.0100760 0.0401166i
\(241\) 0.469356 1.75166i 0.0302339 0.112834i −0.949160 0.314794i \(-0.898064\pi\)
0.979394 + 0.201960i \(0.0647311\pi\)
\(242\) −26.5042 7.10178i −1.70376 0.456520i
\(243\) 12.8462 + 8.83037i 0.824084 + 0.566468i
\(244\) 10.7450i 0.687881i
\(245\) 0.491018 6.93798i 0.0313700 0.443251i
\(246\) −5.97980 0.0940282i −0.381258 0.00599502i
\(247\) −1.79658 + 3.29304i −0.114313 + 0.209531i
\(248\) 10.8795 6.28130i 0.690851 0.398863i
\(249\) 7.23669 + 2.06154i 0.458607 + 0.130645i
\(250\) 10.1625 17.6019i 0.642732 1.11324i
\(251\) 21.3956 1.35048 0.675239 0.737599i \(-0.264040\pi\)
0.675239 + 0.737599i \(0.264040\pi\)
\(252\) 13.8683 + 20.8150i 0.873622 + 1.31122i
\(253\) −27.4838 + 27.4838i −1.72789 + 1.72789i
\(254\) 4.83504 + 18.0446i 0.303377 + 1.13222i
\(255\) 9.98045 + 2.84317i 0.625000 + 0.178046i
\(256\) 6.75738 + 11.7041i 0.422336 + 0.731508i
\(257\) 10.6034 18.3657i 0.661423 1.14562i −0.318818 0.947816i \(-0.603286\pi\)
0.980242 0.197803i \(-0.0633806\pi\)
\(258\) 9.90353 + 10.2200i 0.616567 + 0.636267i
\(259\) −5.59009 + 6.77552i −0.347352 + 0.421010i
\(260\) 11.2860 0.272781i 0.699929 0.0169172i
\(261\) 22.0416 + 13.6673i 1.36434 + 0.845983i
\(262\) 30.4494 + 8.15890i 1.88117 + 0.504059i
\(263\) 19.5351 11.2786i 1.20458 0.695467i 0.243013 0.970023i \(-0.421864\pi\)
0.961571 + 0.274556i \(0.0885307\pi\)
\(264\) 11.1676 18.6591i 0.687321 1.14839i
\(265\) −0.872014 + 0.872014i −0.0535674 + 0.0535674i
\(266\) 5.68390 + 2.59319i 0.348502 + 0.158999i
\(267\) 5.07405 + 5.23617i 0.310527 + 0.320448i
\(268\) 17.8018 4.76998i 1.08742 0.291373i
\(269\) −1.28942 + 0.744445i −0.0786171 + 0.0453896i −0.538793 0.842438i \(-0.681120\pi\)
0.460176 + 0.887828i \(0.347786\pi\)
\(270\) −5.37401 10.4131i −0.327052 0.633722i
\(271\) −26.7952 + 7.17977i −1.62770 + 0.436140i −0.953249 0.302185i \(-0.902284\pi\)
−0.674446 + 0.738324i \(0.735617\pi\)
\(272\) 2.24516 0.136133
\(273\) 15.4295 5.91033i 0.933833 0.357709i
\(274\) −24.3907 −1.47350
\(275\) −18.6248 + 4.99051i −1.12312 + 0.300939i
\(276\) −21.4705 38.5763i −1.29237 2.32202i
\(277\) 10.5726 6.10411i 0.635248 0.366761i −0.147534 0.989057i \(-0.547133\pi\)
0.782782 + 0.622296i \(0.213800\pi\)
\(278\) 49.7432 13.3287i 2.98340 0.799400i
\(279\) −10.5152 + 9.87381i −0.629527 + 0.591130i
\(280\) −0.655458 6.83735i −0.0391711 0.408610i
\(281\) 9.09057 9.09057i 0.542298 0.542298i −0.381904 0.924202i \(-0.624731\pi\)
0.924202 + 0.381904i \(0.124731\pi\)
\(282\) 16.6770 + 9.98135i 0.993103 + 0.594380i
\(283\) −19.2533 + 11.1159i −1.14449 + 0.660772i −0.947539 0.319641i \(-0.896438\pi\)
−0.196952 + 0.980413i \(0.563104\pi\)
\(284\) 32.9594 + 8.83143i 1.95578 + 0.524049i
\(285\) −1.53639 0.919539i −0.0910076 0.0544688i
\(286\) −28.4686 27.1249i −1.68338 1.60393i
\(287\) 3.96960 + 0.666000i 0.234318 + 0.0393127i
\(288\) −12.4665 13.2763i −0.734598 0.782315i
\(289\) −9.68011 + 16.7664i −0.569418 + 0.986262i
\(290\) −9.74786 16.8838i −0.572414 0.991450i
\(291\) −4.13705 + 14.5224i −0.242518 + 0.851317i
\(292\) 4.42743 + 16.5234i 0.259096 + 0.966958i
\(293\) 14.7365 14.7365i 0.860914 0.860914i −0.130530 0.991444i \(-0.541668\pi\)
0.991444 + 0.130530i \(0.0416680\pi\)
\(294\) −11.6517 24.9292i −0.679539 1.45390i
\(295\) 2.70527 0.157507
\(296\) −4.33724 + 7.51232i −0.252097 + 0.436645i
\(297\) −7.59230 + 23.7861i −0.440550 + 1.38021i
\(298\) 8.44246 4.87425i 0.489058 0.282358i
\(299\) −27.9801 + 8.22679i −1.61813 + 0.475768i
\(300\) 0.344345 21.8989i 0.0198808 1.26433i
\(301\) −5.55871 7.79996i −0.320398 0.449582i
\(302\) 20.1764i 1.16102i
\(303\) −3.93724 2.35647i −0.226189 0.135376i
\(304\) −0.374180 0.100261i −0.0214607 0.00575038i
\(305\) −0.876897 + 3.27262i −0.0502109 + 0.187390i
\(306\) 39.9727 9.37423i 2.28508 0.535889i
\(307\) −12.0170 12.0170i −0.685847 0.685847i 0.275464 0.961311i \(-0.411168\pi\)
−0.961311 + 0.275464i \(0.911168\pi\)
\(308\) −25.4957 + 30.9022i −1.45275 + 1.76082i
\(309\) −16.3622 0.257284i −0.930812 0.0146364i
\(310\) 10.4735 2.80637i 0.594855 0.159391i
\(311\) −7.65781 13.2637i −0.434235 0.752116i 0.562998 0.826458i \(-0.309648\pi\)
−0.997233 + 0.0743417i \(0.976314\pi\)
\(312\) 14.0615 8.27745i 0.796074 0.468618i
\(313\) −9.95534 + 17.2432i −0.562709 + 0.974641i 0.434550 + 0.900648i \(0.356908\pi\)
−0.997259 + 0.0739928i \(0.976426\pi\)
\(314\) −9.41256 9.41256i −0.531181 0.531181i
\(315\) 2.52518 + 7.47141i 0.142278 + 0.420966i
\(316\) 27.8774i 1.56823i
\(317\) 4.17789 1.11946i 0.234654 0.0628752i −0.139576 0.990211i \(-0.544574\pi\)
0.374229 + 0.927336i \(0.377907\pi\)
\(318\) −1.33673 + 4.69235i −0.0749599 + 0.263134i
\(319\) −10.7515 + 40.1253i −0.601971 + 2.24659i
\(320\) 3.35178 + 12.5090i 0.187370 + 0.699274i
\(321\) 9.65839 + 0.151872i 0.539079 + 0.00847664i
\(322\) 16.9911 + 45.5031i 0.946877 + 2.53579i
\(323\) 4.43610 4.43610i 0.246831 0.246831i
\(324\) −23.6214 15.6961i −1.31230 0.872003i
\(325\) −14.0615 3.40584i −0.779991 0.188922i
\(326\) −35.2211 + 20.3349i −1.95072 + 1.12625i
\(327\) −5.41052 + 1.35894i −0.299203 + 0.0751497i
\(328\) 3.97494 0.219479
\(329\) −10.0900 8.32471i −0.556281 0.458956i
\(330\) 13.4788 13.0615i 0.741984 0.719011i
\(331\) 1.22136 + 4.55817i 0.0671319 + 0.250540i 0.991334 0.131363i \(-0.0419355\pi\)
−0.924202 + 0.381903i \(0.875269\pi\)
\(332\) −13.2234 3.54320i −0.725728 0.194458i
\(333\) 2.87904 9.53481i 0.157771 0.522505i
\(334\) 6.08411 10.5380i 0.332907 0.576613i
\(335\) 5.81118 0.317499
\(336\) 0.968273 + 1.40490i 0.0528236 + 0.0766436i
\(337\) 20.0045i 1.08971i −0.838529 0.544856i \(-0.816584\pi\)
0.838529 0.544856i \(-0.183416\pi\)
\(338\) −9.00444 28.0976i −0.489777 1.52831i
\(339\) 4.30830 + 7.74077i 0.233995 + 0.420421i
\(340\) −18.2370 4.88658i −0.989039 0.265012i
\(341\) −20.0085 11.5519i −1.08352 0.625571i
\(342\) −7.08051 0.222727i −0.382870 0.0120437i
\(343\) 5.23762 + 17.7642i 0.282805 + 0.959177i
\(344\) −6.68832 6.68832i −0.360610 0.360610i
\(345\) −3.39110 13.5014i −0.182571 0.726890i
\(346\) −6.86707 + 25.6283i −0.369176 + 1.37778i
\(347\) −20.8286 + 12.0254i −1.11814 + 0.645558i −0.940925 0.338615i \(-0.890042\pi\)
−0.177214 + 0.984172i \(0.556708\pi\)
\(348\) −40.4872 24.2319i −2.17034 1.29897i
\(349\) 7.22449 + 7.22449i 0.386718 + 0.386718i 0.873515 0.486797i \(-0.161835\pi\)
−0.486797 + 0.873515i \(0.661835\pi\)
\(350\) −3.98696 + 23.7637i −0.213112 + 1.27022i
\(351\) −13.5489 + 12.9394i −0.723184 + 0.690655i
\(352\) 14.5853 25.2624i 0.777398 1.34649i
\(353\) −4.84966 + 18.0992i −0.258121 + 0.963322i 0.708206 + 0.706006i \(0.249505\pi\)
−0.966327 + 0.257316i \(0.917162\pi\)
\(354\) 9.35208 5.20512i 0.497058 0.276649i
\(355\) 9.31771 + 5.37958i 0.494533 + 0.285519i
\(356\) −9.38009 9.38009i −0.497144 0.497144i
\(357\) −27.5446 + 2.20411i −1.45782 + 0.116654i
\(358\) −11.4415 11.4415i −0.604702 0.604702i
\(359\) 3.90265 + 14.5649i 0.205974 + 0.768706i 0.989150 + 0.146906i \(0.0469316\pi\)
−0.783176 + 0.621800i \(0.786402\pi\)
\(360\) 3.68019 + 6.86402i 0.193963 + 0.361766i
\(361\) 15.5171 8.95878i 0.816687 0.471515i
\(362\) 7.76612 + 28.9836i 0.408178 + 1.52334i
\(363\) −20.9375 0.329227i −1.09893 0.0172799i
\(364\) −27.8990 + 11.1930i −1.46230 + 0.586671i
\(365\) 5.39385i 0.282327i
\(366\) 3.26532 + 13.0006i 0.170681 + 0.679552i
\(367\) −17.3258 30.0091i −0.904399 1.56646i −0.821722 0.569888i \(-0.806986\pi\)
−0.0826766 0.996576i \(-0.526347\pi\)
\(368\) −1.50586 2.60823i −0.0784986 0.135964i
\(369\) −4.44345 + 1.04206i −0.231317 + 0.0542476i
\(370\) −5.29416 + 5.29416i −0.275230 + 0.275230i
\(371\) 1.36300 2.98750i 0.0707634 0.155103i
\(372\) 18.8460 18.2625i 0.977117 0.946864i
\(373\) 5.86713 10.1622i 0.303788 0.526177i −0.673202 0.739458i \(-0.735082\pi\)
0.976991 + 0.213281i \(0.0684151\pi\)
\(374\) 32.8812 + 56.9518i 1.70024 + 2.94491i
\(375\) 4.24957 14.9174i 0.219447 0.770331i
\(376\) −11.1873 6.45897i −0.576939 0.333096i
\(377\) −21.5015 + 22.5666i −1.10738 + 1.16224i
\(378\) 23.1050 + 20.9699i 1.18839 + 1.07858i
\(379\) 17.2711 17.2711i 0.887155 0.887155i −0.107094 0.994249i \(-0.534155\pi\)
0.994249 + 0.107094i \(0.0341547\pi\)
\(380\) 2.82117 + 1.62881i 0.144723 + 0.0835560i
\(381\) 6.93320 + 12.4570i 0.355199 + 0.638189i
\(382\) −7.13027 1.91055i −0.364817 0.0977523i
\(383\) 32.4642 8.69875i 1.65884 0.444486i 0.696773 0.717291i \(-0.254618\pi\)
0.962069 + 0.272806i \(0.0879516\pi\)
\(384\) 21.0207 + 21.6924i 1.07271 + 1.10698i
\(385\) −10.2871 + 7.33122i −0.524281 + 0.373633i
\(386\) 56.9569i 2.89903i
\(387\) 9.23005 + 5.72326i 0.469190 + 0.290930i
\(388\) 7.11038 26.5363i 0.360975 1.34718i
\(389\) 0.501908 + 0.869331i 0.0254478 + 0.0440768i 0.878469 0.477800i \(-0.158566\pi\)
−0.853021 + 0.521876i \(0.825232\pi\)
\(390\) 13.5722 3.75975i 0.687256 0.190383i
\(391\) 48.7748 2.46665
\(392\) 8.00378 + 16.4453i 0.404252 + 0.830613i
\(393\) 24.0541 + 0.378233i 1.21337 + 0.0190794i
\(394\) −5.68977 3.28499i −0.286646 0.165495i
\(395\) −2.27505 + 8.49062i −0.114470 + 0.427209i
\(396\) 13.1309 43.4870i 0.659854 2.18531i
\(397\) 3.94963 1.05830i 0.198226 0.0531145i −0.158340 0.987385i \(-0.550614\pi\)
0.356566 + 0.934270i \(0.383947\pi\)
\(398\) −7.54948 + 7.54948i −0.378421 + 0.378421i
\(399\) 4.68904 + 0.862713i 0.234746 + 0.0431897i
\(400\) 1.49408i 0.0747038i
\(401\) 0.698135 + 2.60547i 0.0348632 + 0.130111i 0.981164 0.193176i \(-0.0618788\pi\)
−0.946301 + 0.323287i \(0.895212\pi\)
\(402\) 20.0891 11.1811i 1.00195 0.557661i
\(403\) −9.02817 14.7995i −0.449725 0.737215i
\(404\) 7.22973 + 4.17409i 0.359693 + 0.207669i
\(405\) −5.91342 6.70828i −0.293840 0.333337i
\(406\) 40.0427 + 33.0370i 1.98729 + 1.63960i
\(407\) 15.9532 0.790770
\(408\) −26.4664 + 6.64748i −1.31028 + 0.329099i
\(409\) 27.5114 + 7.37165i 1.36035 + 0.364505i 0.863945 0.503586i \(-0.167986\pi\)
0.496405 + 0.868091i \(0.334653\pi\)
\(410\) 3.31393 + 0.887964i 0.163663 + 0.0438534i
\(411\) −18.0529 + 4.53429i −0.890485 + 0.223660i
\(412\) 29.7722 1.46677
\(413\) −6.74833 + 2.51986i −0.332064 + 0.123994i
\(414\) −37.7005 40.1494i −1.85288 1.97323i
\(415\) −3.73829 2.15830i −0.183506 0.105947i
\(416\) 18.6856 11.3988i 0.916138 0.558874i
\(417\) 34.3398 19.1126i 1.68163 0.935950i
\(418\) −2.93673 10.9600i −0.143640 0.536072i
\(419\) 20.1844i 0.986074i 0.870008 + 0.493037i \(0.164113\pi\)
−0.870008 + 0.493037i \(0.835887\pi\)
\(420\) −4.80732 13.5192i −0.234573 0.659668i
\(421\) −16.5214 + 16.5214i −0.805204 + 0.805204i −0.983904 0.178700i \(-0.942811\pi\)
0.178700 + 0.983904i \(0.442811\pi\)
\(422\) −41.6455 + 11.1589i −2.02727 + 0.543206i
\(423\) 14.1991 + 4.28744i 0.690386 + 0.208463i
\(424\) 0.839306 3.13233i 0.0407603 0.152120i
\(425\) 20.9548 + 12.0982i 1.01646 + 0.586851i
\(426\) 42.5618 + 0.669255i 2.06213 + 0.0324255i
\(427\) −0.860899 8.98038i −0.0416618 0.434591i
\(428\) −17.5741 −0.849478
\(429\) −26.1137 14.7842i −1.26078 0.713790i
\(430\) −4.08198 7.07020i −0.196851 0.340955i
\(431\) 3.86107 14.4097i 0.185981 0.694091i −0.808437 0.588583i \(-0.799686\pi\)
0.994418 0.105509i \(-0.0336471\pi\)
\(432\) −1.62803 1.04528i −0.0783287 0.0502911i
\(433\) 22.6270i 1.08738i 0.839285 + 0.543691i \(0.182974\pi\)
−0.839285 + 0.543691i \(0.817026\pi\)
\(434\) −23.5122 + 16.7562i −1.12862 + 0.804323i
\(435\) −10.3537 10.6845i −0.496420 0.512281i
\(436\) 9.80353 2.62685i 0.469504 0.125803i
\(437\) −8.12885 2.17812i −0.388856 0.104194i
\(438\) 10.3781 + 18.6464i 0.495885 + 0.890961i
\(439\) 15.1987 + 8.77496i 0.725393 + 0.418806i 0.816734 0.577014i \(-0.195782\pi\)
−0.0913414 + 0.995820i \(0.529115\pi\)
\(440\) −8.82104 + 8.82104i −0.420526 + 0.420526i
\(441\) −13.2584 16.2854i −0.631354 0.775495i
\(442\) 1.19230 + 49.3301i 0.0567120 + 2.34640i
\(443\) −18.5620 10.7168i −0.881908 0.509170i −0.0106206 0.999944i \(-0.503381\pi\)
−0.871287 + 0.490774i \(0.836714\pi\)
\(444\) −4.96459 + 17.4273i −0.235609 + 0.827065i
\(445\) −2.09139 3.62240i −0.0991415 0.171718i
\(446\) −12.1447 + 21.0353i −0.575069 + 0.996048i
\(447\) 5.34259 5.17717i 0.252696 0.244872i
\(448\) −20.0127 28.0818i −0.945511 1.32674i
\(449\) 4.61199 4.61199i 0.217653 0.217653i −0.589855 0.807509i \(-0.700815\pi\)
0.807509 + 0.589855i \(0.200815\pi\)
\(450\) −6.23823 26.6004i −0.294073 1.25396i
\(451\) −3.65515 6.33090i −0.172114 0.298110i
\(452\) −8.05875 13.9582i −0.379052 0.656537i
\(453\) 3.75084 + 14.9337i 0.176230 + 0.701644i
\(454\) 3.22795i 0.151495i
\(455\) −9.41065 + 1.13222i −0.441178 + 0.0530795i
\(456\) 4.70778 + 0.0740265i 0.220462 + 0.00346661i
\(457\) −4.27001 15.9359i −0.199743 0.745451i −0.990988 0.133951i \(-0.957233\pi\)
0.791245 0.611499i \(-0.209433\pi\)
\(458\) −40.0165 + 23.1036i −1.86985 + 1.07956i
\(459\) 27.8433 14.3694i 1.29961 0.670705i
\(460\) 6.55502 + 24.4637i 0.305629 + 1.14062i
\(461\) −16.5408 16.5408i −0.770382 0.770382i 0.207791 0.978173i \(-0.433373\pi\)
−0.978173 + 0.207791i \(0.933373\pi\)
\(462\) −21.4567 + 45.1370i −0.998257 + 2.09996i
\(463\) −21.2860 21.2860i −0.989246 0.989246i 0.0106969 0.999943i \(-0.496595\pi\)
−0.999943 + 0.0106969i \(0.996595\pi\)
\(464\) −2.78759 1.60942i −0.129411 0.0747154i
\(465\) 7.23030 4.02419i 0.335297 0.186617i
\(466\) −0.545532 + 2.03595i −0.0252713 + 0.0943137i
\(467\) 12.2928 21.2917i 0.568842 0.985263i −0.427839 0.903855i \(-0.640725\pi\)
0.996681 0.0814080i \(-0.0259417\pi\)
\(468\) 24.2769 23.9259i 1.12220 1.10598i
\(469\) −14.4960 + 5.41290i −0.669365 + 0.249944i
\(470\) −7.88401 7.88401i −0.363662 0.363662i
\(471\) −8.71656 5.21693i −0.401638 0.240384i
\(472\) −6.16066 + 3.55686i −0.283568 + 0.163718i
\(473\) −4.50228 + 16.8027i −0.207015 + 0.772591i
\(474\) 8.47166 + 33.7293i 0.389116 + 1.54924i
\(475\) −2.95208 2.95208i −0.135451 0.135451i
\(476\) 50.0440 4.79744i 2.29376 0.219890i
\(477\) −0.117067 + 3.72156i −0.00536013 + 0.170399i
\(478\) 32.4380 + 18.7281i 1.48368 + 0.856604i
\(479\) 17.2167 + 4.61320i 0.786650 + 0.210782i 0.629715 0.776826i \(-0.283172\pi\)
0.156936 + 0.987609i \(0.449838\pi\)
\(480\) 5.08089 + 9.12888i 0.231910 + 0.416674i
\(481\) 10.5083 + 5.73298i 0.479137 + 0.261401i
\(482\) 4.11586i 0.187472i
\(483\) 21.0352 + 30.5207i 0.957133 + 1.38874i
\(484\) 38.0972 1.73169
\(485\) 4.33122 7.50190i 0.196671 0.340644i
\(486\) −33.3497 11.8126i −1.51277 0.535830i
\(487\) −20.4704 5.48504i −0.927604 0.248551i −0.236771 0.971565i \(-0.576089\pi\)
−0.690833 + 0.723015i \(0.742756\pi\)
\(488\) −2.30587 8.60561i −0.104382 0.389557i
\(489\) −22.2888 + 21.5987i −1.00793 + 0.976725i
\(490\) 2.99907 + 15.4985i 0.135484 + 0.700151i
\(491\) 13.7884 0.622260 0.311130 0.950367i \(-0.399292\pi\)
0.311130 + 0.950367i \(0.399292\pi\)
\(492\) 8.05337 2.02274i 0.363074 0.0911921i
\(493\) 45.1449 26.0644i 2.03323 1.17388i
\(494\) 2.00421 8.27466i 0.0901737 0.372294i
\(495\) 7.54824 12.1732i 0.339268 0.547147i
\(496\) 1.26588 1.26588i 0.0568398 0.0568398i
\(497\) −28.2540 4.74032i −1.26737 0.212632i
\(498\) −17.0759 0.268507i −0.765190 0.0120321i
\(499\) 1.27846 + 4.77127i 0.0572317 + 0.213592i 0.988620 0.150436i \(-0.0480679\pi\)
−0.931388 + 0.364028i \(0.881401\pi\)
\(500\) −7.30379 + 27.2581i −0.326635 + 1.21902i
\(501\) 2.54415 8.93078i 0.113664 0.398998i
\(502\) −46.9054 + 12.5683i −2.09349 + 0.560949i
\(503\) 42.1587i 1.87976i 0.341500 + 0.939882i \(0.389065\pi\)
−0.341500 + 0.939882i \(0.610935\pi\)
\(504\) −15.5739 13.6944i −0.693715 0.609998i
\(505\) 1.86132 + 1.86132i 0.0828275 + 0.0828275i
\(506\) 44.1078 76.3970i 1.96083 3.39626i
\(507\) −11.8881 19.1226i −0.527968 0.849264i
\(508\) −12.9687 22.4624i −0.575392 0.996607i
\(509\) 10.1298 2.71428i 0.448996 0.120308i −0.0272334 0.999629i \(-0.508670\pi\)
0.476230 + 0.879321i \(0.342003\pi\)
\(510\) −23.5502 0.370310i −1.04282 0.0163976i
\(511\) −5.02417 13.4550i −0.222256 0.595215i
\(512\) 2.97408 + 2.97408i 0.131437 + 0.131437i
\(513\) −5.28207 + 1.15143i −0.233209 + 0.0508368i
\(514\) −12.4574 + 46.4916i −0.549471 + 2.05065i
\(515\) 9.06771 + 2.42969i 0.399571 + 0.107065i
\(516\) −16.9543 10.1473i −0.746371 0.446709i
\(517\) 23.7573i 1.04485i
\(518\) 8.27502 18.1376i 0.363583 0.796922i
\(519\) −0.318346 + 20.2455i −0.0139738 + 0.888678i
\(520\) −8.98032 + 2.64042i −0.393813 + 0.115790i
\(521\) −9.14126 + 5.27771i −0.400486 + 0.231221i −0.686694 0.726947i \(-0.740939\pi\)
0.286208 + 0.958168i \(0.407605\pi\)
\(522\) −56.3500 17.0149i −2.46637 0.744722i
\(523\) −3.18635 + 5.51892i −0.139329 + 0.241325i −0.927243 0.374460i \(-0.877828\pi\)
0.787914 + 0.615786i \(0.211161\pi\)
\(524\) −43.7681 −1.91202
\(525\) 1.46676 + 18.3300i 0.0640146 + 0.799987i
\(526\) −36.2013 + 36.2013i −1.57845 + 1.57845i
\(527\) 7.50384 + 28.0047i 0.326873 + 1.21991i
\(528\) 0.849010 2.98030i 0.0369484 0.129701i
\(529\) −21.2140 36.7438i −0.922349 1.59756i
\(530\) 1.39947 2.42395i 0.0607890 0.105290i
\(531\) 5.95434 5.59116i 0.258397 0.242636i
\(532\) −8.55462 1.43525i −0.370890 0.0622261i
\(533\) −0.132539 5.48365i −0.00574091 0.237523i
\(534\) −14.1996 8.49859i −0.614478 0.367770i
\(535\) −5.35256 1.43421i −0.231411 0.0620065i
\(536\) −13.2337 + 7.64046i −0.571608 + 0.330018i
\(537\) −10.5955 6.34148i −0.457229 0.273655i
\(538\) 2.38947 2.38947i 0.103017 0.103017i
\(539\) 18.8326 27.8699i 0.811178 1.20044i
\(540\) 10.9491 + 12.0340i 0.471175 + 0.517862i
\(541\) 26.9379 7.21799i 1.15815 0.310326i 0.371924 0.928263i \(-0.378698\pi\)
0.786227 + 0.617938i \(0.212032\pi\)
\(542\) 54.5254 31.4803i 2.34207 1.35219i
\(543\) 11.1362 + 20.0086i 0.477902 + 0.858651i
\(544\) −35.3584 + 9.47425i −1.51598 + 0.406205i
\(545\) 3.20024 0.137083
\(546\) −30.3540 + 22.0208i −1.29903 + 0.942402i
\(547\) −10.7569 −0.459932 −0.229966 0.973199i \(-0.573861\pi\)
−0.229966 + 0.973199i \(0.573861\pi\)
\(548\) 32.7107 8.76482i 1.39733 0.374414i
\(549\) 4.83368 + 9.01542i 0.206296 + 0.384769i
\(550\) 37.8995 21.8813i 1.61604 0.933021i
\(551\) −8.68785 + 2.32790i −0.370115 + 0.0991720i
\(552\) 25.4739 + 26.2879i 1.08424 + 1.11889i
\(553\) −2.23355 23.2991i −0.0949802 0.990777i
\(554\) −19.5926 + 19.5926i −0.832409 + 0.832409i
\(555\) −2.93430 + 4.90269i −0.124554 + 0.208108i
\(556\) −61.9217 + 35.7505i −2.62606 + 1.51616i
\(557\) −22.7193 6.08763i −0.962649 0.257941i −0.256928 0.966431i \(-0.582710\pi\)
−0.705721 + 0.708490i \(0.749377\pi\)
\(558\) 17.2522 27.8231i 0.730345 1.17785i
\(559\) −9.00391 + 9.44993i −0.380825 + 0.399690i
\(560\) −0.342404 0.916977i −0.0144692 0.0387493i
\(561\) 34.9246 + 36.0405i 1.47452 + 1.52163i
\(562\) −14.5892 + 25.2692i −0.615407 + 1.06592i
\(563\) −7.39506 12.8086i −0.311665 0.539819i 0.667058 0.745006i \(-0.267553\pi\)
−0.978723 + 0.205187i \(0.934220\pi\)
\(564\) −25.9526 7.39322i −1.09280 0.311311i
\(565\) −1.31534 4.90891i −0.0553367 0.206519i
\(566\) 35.6791 35.6791i 1.49970 1.49970i
\(567\) 20.9996 + 11.2257i 0.881900 + 0.471436i
\(568\) −28.2920 −1.18711
\(569\) −9.27745 + 16.0690i −0.388931 + 0.673648i −0.992306 0.123809i \(-0.960489\pi\)
0.603375 + 0.797458i \(0.293822\pi\)
\(570\) 3.90836 + 1.11339i 0.163703 + 0.0466347i
\(571\) −8.05438 + 4.65020i −0.337065 + 0.194605i −0.658974 0.752166i \(-0.729009\pi\)
0.321908 + 0.946771i \(0.395676\pi\)
\(572\) 47.9269 + 26.1474i 2.00393 + 1.09328i
\(573\) −5.63268 0.0885700i −0.235309 0.00370007i
\(574\) −9.09373 + 0.871765i −0.379565 + 0.0363868i
\(575\) 32.4580i 1.35359i
\(576\) 33.2304 + 20.6051i 1.38460 + 0.858547i
\(577\) 8.05655 + 2.15875i 0.335399 + 0.0898698i 0.422588 0.906322i \(-0.361122\pi\)
−0.0871893 + 0.996192i \(0.527788\pi\)
\(578\) 11.3726 42.4432i 0.473039 1.76541i
\(579\) −10.5884 42.1569i −0.440040 1.75198i
\(580\) 19.1402 + 19.1402i 0.794753 + 0.794753i
\(581\) 11.3356 + 1.90183i 0.470280 + 0.0789012i
\(582\) 0.538832 34.2675i 0.0223353 1.42043i
\(583\) −5.76066 + 1.54356i −0.238582 + 0.0639279i
\(584\) −7.09177 12.2833i −0.293459 0.508287i
\(585\) 9.34660 5.30590i 0.386434 0.219372i
\(586\) −23.6501 + 40.9632i −0.976976 + 1.69217i
\(587\) −4.74425 4.74425i −0.195816 0.195816i 0.602387 0.798204i \(-0.294216\pi\)
−0.798204 + 0.602387i \(0.794216\pi\)
\(588\) 24.5845 + 29.2459i 1.01385 + 1.20608i
\(589\) 5.00239i 0.206120i
\(590\) −5.93075 + 1.58914i −0.244165 + 0.0654238i
\(591\) −4.82200 1.37366i −0.198350 0.0565048i
\(592\) −0.319940 + 1.19403i −0.0131494 + 0.0490744i
\(593\) 3.97846 + 14.8478i 0.163376 + 0.609726i 0.998242 + 0.0592732i \(0.0188783\pi\)
−0.834866 + 0.550453i \(0.814455\pi\)
\(594\) 2.67203 56.6060i 0.109635 2.32257i
\(595\) 15.6334 + 2.62290i 0.640908 + 0.107528i
\(596\) −9.57073 + 9.57073i −0.392032 + 0.392032i
\(597\) −4.18432 + 6.99124i −0.171253 + 0.286133i
\(598\) 56.5078 34.4716i 2.31078 1.40965i
\(599\) −3.91492 + 2.26028i −0.159959 + 0.0923525i −0.577843 0.816148i \(-0.696105\pi\)
0.417884 + 0.908501i \(0.362772\pi\)
\(600\) 4.42367 + 17.6125i 0.180596 + 0.719027i
\(601\) −7.57081 −0.308820 −0.154410 0.988007i \(-0.549348\pi\)
−0.154410 + 0.988007i \(0.549348\pi\)
\(602\) 16.7682 + 13.8345i 0.683419 + 0.563851i
\(603\) 12.7905 12.0103i 0.520868 0.489099i
\(604\) −7.25040 27.0588i −0.295014 1.10101i
\(605\) 11.6033 + 3.10909i 0.471740 + 0.126402i
\(606\) 10.0158 + 2.85325i 0.406865 + 0.115905i
\(607\) 19.9004 34.4684i 0.807731 1.39903i −0.106701 0.994291i \(-0.534029\pi\)
0.914432 0.404740i \(-0.132638\pi\)
\(608\) 6.31595 0.256146
\(609\) 35.7795 + 17.0085i 1.44986 + 0.689217i
\(610\) 7.68965i 0.311345i
\(611\) −8.53749 + 15.6488i −0.345390 + 0.633084i
\(612\) −50.2392 + 26.9361i −2.03080 + 1.08883i
\(613\) 17.6644 + 4.73317i 0.713460 + 0.191171i 0.597252 0.802054i \(-0.296259\pi\)
0.116208 + 0.993225i \(0.462926\pi\)
\(614\) 33.4038 + 19.2857i 1.34807 + 0.778308i
\(615\) 2.61789 + 0.0411646i 0.105564 + 0.00165992i
\(616\) 13.7877 30.2206i 0.555522 1.21762i
\(617\) 4.21321 + 4.21321i 0.169617 + 0.169617i 0.786811 0.617194i \(-0.211731\pi\)
−0.617194 + 0.786811i \(0.711731\pi\)
\(618\) 36.0218 9.04747i 1.44901 0.363943i
\(619\) −4.46679 + 16.6703i −0.179535 + 0.670035i 0.816199 + 0.577771i \(0.196077\pi\)
−0.995735 + 0.0922644i \(0.970590\pi\)
\(620\) −13.0377 + 7.52732i −0.523606 + 0.302304i
\(621\) −35.3680 22.7081i −1.41927 0.911246i
\(622\) 24.5795 + 24.5795i 0.985550 + 0.985550i
\(623\) 8.59113 + 7.08805i 0.344196 + 0.283977i
\(624\) 1.63025 1.65801i 0.0652621 0.0663734i
\(625\) 5.58277 9.66965i 0.223311 0.386786i
\(626\) 11.6960 43.6500i 0.467465 1.74460i
\(627\) −4.21112 7.56616i −0.168176 0.302163i
\(628\) 16.0057 + 9.24091i 0.638698 + 0.368752i
\(629\) −14.1559 14.1559i −0.564431 0.564431i
\(630\) −9.92480 14.8962i −0.395413 0.593477i
\(631\) −16.3421 16.3421i −0.650569 0.650569i 0.302561 0.953130i \(-0.402158\pi\)
−0.953130 + 0.302561i \(0.902158\pi\)
\(632\) −5.98243 22.3267i −0.237968 0.888109i
\(633\) −28.7497 + 16.0013i −1.14270 + 0.635994i
\(634\) −8.50155 + 4.90837i −0.337640 + 0.194936i
\(635\) −2.11673 7.89974i −0.0839998 0.313492i
\(636\) 0.106506 6.77332i 0.00422323 0.268580i
\(637\) 22.4203 11.5900i 0.888326 0.459213i
\(638\) 94.2820i 3.73266i
\(639\) 31.6267 7.41698i 1.25113 0.293411i
\(640\) −8.66422 15.0069i −0.342483 0.593198i
\(641\) 7.76733 + 13.4534i 0.306791 + 0.531378i 0.977658 0.210200i \(-0.0674114\pi\)
−0.670867 + 0.741577i \(0.734078\pi\)
\(642\) −21.2632 + 5.34061i −0.839192 + 0.210777i
\(643\) 6.92255 6.92255i 0.272999 0.272999i −0.557307 0.830306i \(-0.688166\pi\)
0.830306 + 0.557307i \(0.188166\pi\)
\(644\) −39.1386 54.9191i −1.54228 2.16412i
\(645\) −4.33566 4.47419i −0.170717 0.176171i
\(646\) −7.11936 + 12.3311i −0.280108 + 0.485160i
\(647\) −13.6167 23.5847i −0.535326 0.927212i −0.999147 0.0412834i \(-0.986855\pi\)
0.463821 0.885929i \(-0.346478\pi\)
\(648\) 22.2865 + 7.50172i 0.875495 + 0.294695i
\(649\) 11.3300 + 6.54141i 0.444743 + 0.256773i
\(650\) 32.8275 0.793437i 1.28760 0.0311211i
\(651\) −14.2877 + 16.7731i −0.559978 + 0.657391i
\(652\) 39.9282 39.9282i 1.56371 1.56371i
\(653\) 30.9656 + 17.8780i 1.21178 + 0.699621i 0.963146 0.268977i \(-0.0866857\pi\)
0.248632 + 0.968598i \(0.420019\pi\)
\(654\) 11.0632 6.15746i 0.432604 0.240776i
\(655\) −13.3305 3.57188i −0.520864 0.139565i
\(656\) 0.547145 0.146607i 0.0213624 0.00572405i
\(657\) 11.1478 + 11.8719i 0.434918 + 0.463168i
\(658\) 27.0104 + 12.3231i 1.05297 + 0.480403i
\(659\) 29.5283i 1.15026i 0.818062 + 0.575130i \(0.195049\pi\)
−0.818062 + 0.575130i \(0.804951\pi\)
\(660\) −13.3830 + 22.3605i −0.520931 + 0.870383i
\(661\) −4.04655 + 15.1019i −0.157393 + 0.587398i 0.841496 + 0.540264i \(0.181675\pi\)
−0.998889 + 0.0471340i \(0.984991\pi\)
\(662\) −5.35514 9.27538i −0.208134 0.360498i
\(663\) 10.0531 + 36.2903i 0.390429 + 1.40940i
\(664\) 11.3508 0.440498
\(665\) −2.48835 1.13527i −0.0964942 0.0440240i
\(666\) −0.710735 + 22.5943i −0.0275404 + 0.875511i
\(667\) −60.5589 34.9637i −2.34485 1.35380i
\(668\) −4.37265 + 16.3190i −0.169183 + 0.631399i
\(669\) −5.07846 + 17.8271i −0.196345 + 0.689234i
\(670\) −12.7398 + 3.41362i −0.492181 + 0.131879i
\(671\) −11.5858 + 11.5858i −0.447266 + 0.447266i
\(672\) −21.1775 18.0394i −0.816941 0.695886i
\(673\) 21.7075i 0.836764i −0.908271 0.418382i \(-0.862597\pi\)
0.908271 0.418382i \(-0.137403\pi\)
\(674\) 11.7511 + 43.8556i 0.452634 + 1.68925i
\(675\) −9.56233 18.5287i −0.368054 0.713171i
\(676\) 22.1728 + 34.4463i 0.852802 + 1.32486i
\(677\) 10.6143 + 6.12816i 0.407940 + 0.235524i 0.689904 0.723901i \(-0.257653\pi\)
−0.281964 + 0.959425i \(0.590986\pi\)
\(678\) −13.9922 14.4392i −0.537365 0.554535i
\(679\) −3.81654 + 22.7479i −0.146465 + 0.872985i
\(680\) 15.6545 0.600322
\(681\) −0.600083 2.38918i −0.0229952 0.0915537i
\(682\) 50.6503 + 13.5717i 1.93950 + 0.519687i
\(683\) −28.5278 7.64399i −1.09158 0.292489i −0.332251 0.943191i \(-0.607808\pi\)
−0.759333 + 0.650702i \(0.774475\pi\)
\(684\) 9.57580 2.24568i 0.366140 0.0858657i
\(685\) 10.6780 0.407986
\(686\) −21.9175 35.8676i −0.836813 1.36943i
\(687\) −25.3234 + 24.5394i −0.966149 + 0.936235i
\(688\) −1.16732 0.673955i −0.0445038 0.0256943i
\(689\) −4.34922 1.05343i −0.165692 0.0401324i
\(690\) 15.3653 + 27.6070i 0.584947 + 1.05098i
\(691\) 2.56670 + 9.57906i 0.0976419 + 0.364404i 0.997407 0.0719706i \(-0.0229288\pi\)
−0.899765 + 0.436375i \(0.856262\pi\)
\(692\) 36.8381i 1.40037i
\(693\) −7.49023 + 37.3972i −0.284530 + 1.42060i
\(694\) 38.5984 38.5984i 1.46517 1.46517i
\(695\) −21.7771 + 5.83515i −0.826051 + 0.221340i
\(696\) 37.6260 + 10.7186i 1.42621 + 0.406289i
\(697\) −2.37429 + 8.86099i −0.0899328 + 0.335634i
\(698\) −20.0820 11.5944i −0.760115 0.438853i
\(699\) −0.0252900 + 1.60834i −0.000956554 + 0.0608328i
\(700\) −3.19253 33.3026i −0.120666 1.25872i
\(701\) −5.11295 −0.193113 −0.0965567 0.995327i \(-0.530783\pi\)
−0.0965567 + 0.995327i \(0.530783\pi\)
\(702\) 22.1021 36.3259i 0.834191 1.37103i
\(703\) 1.72708 + 2.99138i 0.0651379 + 0.112822i
\(704\) −16.2093 + 60.4940i −0.610912 + 2.27995i
\(705\) −7.30104 4.36973i −0.274973 0.164574i
\(706\) 42.5274i 1.60054i
\(707\) −6.37682 2.90933i −0.239825 0.109416i
\(708\) −10.6717 + 10.3413i −0.401069 + 0.388651i
\(709\) −20.7911 + 5.57096i −0.780826 + 0.209222i −0.627149 0.778899i \(-0.715778\pi\)
−0.153677 + 0.988121i \(0.549112\pi\)
\(710\) −23.5872 6.32018i −0.885212 0.237192i
\(711\) 12.5407 + 23.3900i 0.470312 + 0.877192i
\(712\) 9.52537 + 5.49947i 0.356978 + 0.206102i
\(713\) 27.5005 27.5005i 1.02990 1.02990i
\(714\) 59.0911 21.0124i 2.21143 0.786368i
\(715\) 12.4632 + 11.8750i 0.466099 + 0.444100i
\(716\) 19.4559 + 11.2329i 0.727100 + 0.419791i
\(717\) 27.4908 + 7.83140i 1.02666 + 0.292469i
\(718\) −17.1115 29.6380i −0.638595 1.10608i
\(719\) −0.465006 + 0.805414i −0.0173418 + 0.0300369i −0.874566 0.484906i \(-0.838854\pi\)
0.857224 + 0.514943i \(0.172187\pi\)
\(720\) 0.759739 + 0.809088i 0.0283138 + 0.0301529i
\(721\) −24.8827 + 2.38536i −0.926679 + 0.0888355i
\(722\) −28.7553 + 28.7553i −1.07016 + 1.07016i
\(723\) 0.765147 + 3.04637i 0.0284561 + 0.113296i
\(724\) −20.8305 36.0795i −0.774160 1.34088i
\(725\) −17.3450 30.0424i −0.644177 1.11575i
\(726\) 46.0944 11.5774i 1.71072 0.429676i
\(727\) 43.5352i 1.61463i 0.590119 + 0.807316i \(0.299081\pi\)
−0.590119 + 0.807316i \(0.700919\pi\)
\(728\) 19.9420 14.9514i 0.739101 0.554136i
\(729\) −26.8799 2.54335i −0.995553 0.0941982i
\(730\) −3.16847 11.8249i −0.117270 0.437659i
\(731\) 18.9047 10.9147i 0.699217 0.403693i
\(732\) −9.05093 16.2619i −0.334532 0.601057i
\(733\) −1.72840 6.45047i −0.0638399 0.238254i 0.926632 0.375970i \(-0.122690\pi\)
−0.990472 + 0.137716i \(0.956024\pi\)
\(734\) 55.6112 + 55.6112i 2.05265 + 2.05265i
\(735\) 5.10098 + 10.9137i 0.188152 + 0.402560i
\(736\) 34.7218 + 34.7218i 1.27986 + 1.27986i
\(737\) 24.3380 + 14.0515i 0.896501 + 0.517595i
\(738\) 9.12921 4.89468i 0.336051 0.180176i
\(739\) 9.70997 36.2381i 0.357187 1.33304i −0.520523 0.853848i \(-0.674263\pi\)
0.877710 0.479193i \(-0.159070\pi\)
\(740\) 5.19761 9.00253i 0.191068 0.330940i
\(741\) −0.0548508 6.49711i −0.00201499 0.238677i
\(742\) −1.23317 + 7.35011i −0.0452710 + 0.269831i
\(743\) −7.89935 7.89935i −0.289799 0.289799i 0.547202 0.837001i \(-0.315693\pi\)
−0.837001 + 0.547202i \(0.815693\pi\)
\(744\) −11.1745 + 18.6705i −0.409676 + 0.684495i
\(745\) −3.69602 + 2.13390i −0.135412 + 0.0781800i
\(746\) −6.89297 + 25.7249i −0.252369 + 0.941855i
\(747\) −12.6887 + 2.97571i −0.464257 + 0.108876i
\(748\) −64.5630 64.5630i −2.36066 2.36066i
\(749\) 14.6879 1.40805i 0.536685 0.0514490i
\(750\) −0.553488 + 35.1995i −0.0202105 + 1.28531i
\(751\) 5.11674 + 2.95415i 0.186712 + 0.107798i 0.590443 0.807080i \(-0.298953\pi\)
−0.403730 + 0.914878i \(0.632287\pi\)
\(752\) −1.77814 0.476451i −0.0648420 0.0173744i
\(753\) −32.3807 + 18.0223i −1.18002 + 0.656767i
\(754\) 33.8814 62.1031i 1.23389 2.26166i
\(755\) 8.83302i 0.321466i
\(756\) −38.5219 19.8203i −1.40103 0.720857i
\(757\) 49.8366 1.81134 0.905671 0.423981i \(-0.139368\pi\)
0.905671 + 0.423981i \(0.139368\pi\)
\(758\) −27.7178 + 48.0086i −1.00675 + 1.74375i
\(759\) 18.4443 64.7453i 0.669484 2.35011i
\(760\) −2.60899 0.699077i −0.0946380 0.0253582i
\(761\) 2.05353 + 7.66389i 0.0744405 + 0.277816i 0.993106 0.117221i \(-0.0373986\pi\)
−0.918665 + 0.395037i \(0.870732\pi\)
\(762\) −22.5171 23.2365i −0.815708 0.841771i
\(763\) −7.98302 + 2.98090i −0.289005 + 0.107916i
\(764\) 10.2491 0.370798
\(765\) −17.4996 + 4.10394i −0.632700 + 0.148378i
\(766\) −66.0611 + 38.1404i −2.38688 + 1.37807i
\(767\) 5.11231 + 8.38039i 0.184595 + 0.302598i
\(768\) −20.0856 12.0214i −0.724777 0.433785i
\(769\) −28.3896 + 28.3896i −1.02375 + 1.02375i −0.0240438 + 0.999711i \(0.507654\pi\)
−0.999711 + 0.0240438i \(0.992346\pi\)
\(770\) 18.2459 22.1150i 0.657536 0.796971i
\(771\) −0.577503 + 36.7268i −0.0207983 + 1.32268i
\(772\) 20.4675 + 76.3857i 0.736641 + 2.74918i
\(773\) −10.3303 +