Properties

Label 552.2.bb.a.85.37
Level $552$
Weight $2$
Character 552.85
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 85.37
Character \(\chi\) \(=\) 552.85
Dual form 552.2.bb.a.13.37

$q$-expansion

\(f(q)\) \(=\) \(q+(1.01903 + 0.980598i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(0.0768558 + 1.99852i) q^{4} +(0.756543 - 0.345502i) q^{5} +(0.274001 - 1.38742i) q^{6} +(-3.66239 + 1.07537i) q^{7} +(-1.88143 + 2.11192i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\) \(q+(1.01903 + 0.980598i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(0.0768558 + 1.99852i) q^{4} +(0.756543 - 0.345502i) q^{5} +(0.274001 - 1.38742i) q^{6} +(-3.66239 + 1.07537i) q^{7} +(-1.88143 + 2.11192i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(1.10974 + 0.389787i) q^{10} +(-2.56240 + 2.22033i) q^{11} +(1.63971 - 1.14514i) q^{12} +(-0.635317 + 2.16369i) q^{13} +(-4.78660 - 2.49549i) q^{14} +(-0.699673 - 0.449652i) q^{15} +(-3.98819 + 0.307196i) q^{16} +(-1.05713 + 7.35248i) q^{17} +(-1.31530 + 0.519590i) q^{18} +(5.92823 - 0.852351i) q^{19} +(0.748638 + 1.48541i) q^{20} +(2.88470 + 2.49960i) q^{21} +(-4.78842 - 0.250092i) q^{22} +(2.22141 - 4.25034i) q^{23} +(2.79384 + 0.440965i) q^{24} +(-2.82132 + 3.25597i) q^{25} +(-2.76912 + 1.58188i) q^{26} +(0.989821 - 0.142315i) q^{27} +(-2.43063 - 7.23671i) q^{28} +(6.91690 + 0.994501i) q^{29} +(-0.272061 - 1.14431i) q^{30} +(-5.48418 - 3.52447i) q^{31} +(-4.36533 - 3.59776i) q^{32} +(3.25320 + 0.955225i) q^{33} +(-8.28708 + 6.45580i) q^{34} +(-2.39921 + 2.07893i) q^{35} +(-1.84985 - 0.760306i) q^{36} +(6.41059 + 2.92762i) q^{37} +(6.87688 + 4.94464i) q^{38} +(2.16369 - 0.635317i) q^{39} +(-0.693708 + 2.24780i) q^{40} +(-2.34435 - 5.13341i) q^{41} +(0.488495 + 5.37591i) q^{42} +(0.890424 + 1.38553i) q^{43} +(-4.63432 - 4.95036i) q^{44} +0.831702i q^{45} +(6.43156 - 2.15293i) q^{46} -6.67219 q^{47} +(2.41461 + 3.18899i) q^{48} +(6.36787 - 4.09238i) q^{49} +(-6.06782 + 0.551367i) q^{50} +(6.75683 - 3.08574i) q^{51} +(-4.37301 - 1.10340i) q^{52} +(-2.73892 - 9.32791i) q^{53} +(1.14821 + 0.825593i) q^{54} +(-1.17144 + 2.56509i) q^{55} +(4.61941 - 9.75792i) q^{56} +(-3.92209 - 4.52633i) q^{57} +(6.07335 + 7.79613i) q^{58} +(-1.99171 + 6.78314i) q^{59} +(0.844866 - 1.43287i) q^{60} +(2.08206 - 3.23975i) q^{61} +(-2.13247 - 8.96933i) q^{62} +(0.543216 - 3.77815i) q^{63} +(-0.920454 - 7.94687i) q^{64} +(0.266914 + 1.85643i) q^{65} +(2.37842 + 4.16348i) q^{66} +(0.672017 + 0.582306i) q^{67} +(-14.7754 - 1.54761i) q^{68} +(-4.77659 + 0.429140i) q^{69} +(-4.48347 - 0.234165i) q^{70} +(-1.95680 + 2.25827i) q^{71} +(-1.13950 - 2.58873i) q^{72} +(1.68986 + 11.7532i) q^{73} +(3.66178 + 9.26955i) q^{74} +(4.26442 + 0.613131i) q^{75} +(2.15906 + 11.7822i) q^{76} +(6.99681 - 10.8872i) q^{77} +(2.82786 + 1.47430i) q^{78} +(5.10875 + 1.50006i) q^{79} +(-2.91110 + 1.61033i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(2.64484 - 7.52998i) q^{82} +(-4.72400 - 2.15738i) q^{83} +(-4.77381 + 5.95724i) q^{84} +(1.74053 + 5.92771i) q^{85} +(-0.451273 + 2.28505i) q^{86} +(-2.90293 - 6.35654i) q^{87} +(0.131797 - 9.58898i) q^{88} +(14.8089 - 9.51710i) q^{89} +(-0.815566 + 0.847532i) q^{90} -8.60748i q^{91} +(8.66512 + 4.11287i) q^{92} +6.51906i q^{93} +(-6.79918 - 6.54274i) q^{94} +(4.19048 - 2.69305i) q^{95} +(-0.666557 + 5.61745i) q^{96} +(7.16690 + 15.6933i) q^{97} +(10.5021 + 2.07405i) q^{98} +(-0.955225 - 3.25320i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{4}{11}\right)\) \(1\) \(-1\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.01903 + 0.980598i 0.720565 + 0.693387i
\(3\) −0.540641 0.841254i −0.312139 0.485698i
\(4\) 0.0768558 + 1.99852i 0.0384279 + 0.999261i
\(5\) 0.756543 0.345502i 0.338336 0.154513i −0.239000 0.971020i \(-0.576820\pi\)
0.577336 + 0.816507i \(0.304092\pi\)
\(6\) 0.274001 1.38742i 0.111860 0.566410i
\(7\) −3.66239 + 1.07537i −1.38425 + 0.406453i −0.887247 0.461295i \(-0.847385\pi\)
−0.497005 + 0.867748i \(0.665567\pi\)
\(8\) −1.88143 + 2.11192i −0.665185 + 0.746678i
\(9\) −0.415415 + 0.909632i −0.138472 + 0.303211i
\(10\) 1.10974 + 0.389787i 0.350931 + 0.123261i
\(11\) −2.56240 + 2.22033i −0.772592 + 0.669455i −0.949146 0.314836i \(-0.898050\pi\)
0.176554 + 0.984291i \(0.443505\pi\)
\(12\) 1.63971 1.14514i 0.473344 0.330573i
\(13\) −0.635317 + 2.16369i −0.176205 + 0.600100i 0.823268 + 0.567653i \(0.192148\pi\)
−0.999473 + 0.0324473i \(0.989670\pi\)
\(14\) −4.78660 2.49549i −1.27927 0.666947i
\(15\) −0.699673 0.449652i −0.180655 0.116100i
\(16\) −3.98819 + 0.307196i −0.997047 + 0.0767991i
\(17\) −1.05713 + 7.35248i −0.256391 + 1.78324i 0.301643 + 0.953421i \(0.402465\pi\)
−0.558034 + 0.829818i \(0.688444\pi\)
\(18\) −1.31530 + 0.519590i −0.310020 + 0.122468i
\(19\) 5.92823 0.852351i 1.36003 0.195543i 0.576602 0.817025i \(-0.304378\pi\)
0.783428 + 0.621482i \(0.213469\pi\)
\(20\) 0.748638 + 1.48541i 0.167400 + 0.332149i
\(21\) 2.88470 + 2.49960i 0.629493 + 0.545458i
\(22\) −4.78842 0.250092i −1.02089 0.0533198i
\(23\) 2.22141 4.25034i 0.463195 0.886256i
\(24\) 2.79384 + 0.440965i 0.570290 + 0.0900117i
\(25\) −2.82132 + 3.25597i −0.564264 + 0.651195i
\(26\) −2.76912 + 1.58188i −0.543069 + 0.310232i
\(27\) 0.989821 0.142315i 0.190491 0.0273885i
\(28\) −2.43063 7.23671i −0.459347 1.36761i
\(29\) 6.91690 + 0.994501i 1.28444 + 0.184674i 0.750511 0.660857i \(-0.229807\pi\)
0.533925 + 0.845532i \(0.320716\pi\)
\(30\) −0.272061 1.14431i −0.0496714 0.208921i
\(31\) −5.48418 3.52447i −0.984988 0.633013i −0.0541837 0.998531i \(-0.517256\pi\)
−0.930804 + 0.365518i \(0.880892\pi\)
\(32\) −4.36533 3.59776i −0.771688 0.636001i
\(33\) 3.25320 + 0.955225i 0.566309 + 0.166283i
\(34\) −8.28708 + 6.45580i −1.42122 + 1.10716i
\(35\) −2.39921 + 2.07893i −0.405541 + 0.351403i
\(36\) −1.84985 0.760306i −0.308308 0.126718i
\(37\) 6.41059 + 2.92762i 1.05389 + 0.481297i 0.865559 0.500807i \(-0.166964\pi\)
0.188335 + 0.982105i \(0.439691\pi\)
\(38\) 6.87688 + 4.94464i 1.11558 + 0.802126i
\(39\) 2.16369 0.635317i 0.346468 0.101732i
\(40\) −0.693708 + 2.24780i −0.109685 + 0.355408i
\(41\) −2.34435 5.13341i −0.366126 0.801705i −0.999609 0.0279481i \(-0.991103\pi\)
0.633483 0.773756i \(-0.281625\pi\)
\(42\) 0.488495 + 5.37591i 0.0753764 + 0.829521i
\(43\) 0.890424 + 1.38553i 0.135788 + 0.211291i 0.902488 0.430715i \(-0.141739\pi\)
−0.766699 + 0.642006i \(0.778102\pi\)
\(44\) −4.63432 4.95036i −0.698649 0.746296i
\(45\) 0.831702i 0.123983i
\(46\) 6.43156 2.15293i 0.948281 0.317432i
\(47\) −6.67219 −0.973239 −0.486619 0.873614i \(-0.661770\pi\)
−0.486619 + 0.873614i \(0.661770\pi\)
\(48\) 2.41461 + 3.18899i 0.348518 + 0.460291i
\(49\) 6.36787 4.09238i 0.909696 0.584626i
\(50\) −6.06782 + 0.551367i −0.858119 + 0.0779750i
\(51\) 6.75683 3.08574i 0.946145 0.432090i
\(52\) −4.37301 1.10340i −0.606428 0.153014i
\(53\) −2.73892 9.32791i −0.376220 1.28129i −0.902395 0.430911i \(-0.858192\pi\)
0.526175 0.850376i \(-0.323626\pi\)
\(54\) 1.14821 + 0.825593i 0.156252 + 0.112349i
\(55\) −1.17144 + 2.56509i −0.157956 + 0.345876i
\(56\) 4.61941 9.75792i 0.617295 1.30396i
\(57\) −3.92209 4.52633i −0.519493 0.599527i
\(58\) 6.07335 + 7.79613i 0.797470 + 1.02368i
\(59\) −1.99171 + 6.78314i −0.259298 + 0.883089i 0.722211 + 0.691673i \(0.243126\pi\)
−0.981509 + 0.191416i \(0.938692\pi\)
\(60\) 0.844866 1.43287i 0.109072 0.184983i
\(61\) 2.08206 3.23975i 0.266581 0.414807i −0.681996 0.731356i \(-0.738888\pi\)
0.948576 + 0.316549i \(0.102524\pi\)
\(62\) −2.13247 8.96933i −0.270824 1.13911i
\(63\) 0.543216 3.77815i 0.0684388 0.476002i
\(64\) −0.920454 7.94687i −0.115057 0.993359i
\(65\) 0.266914 + 1.85643i 0.0331066 + 0.230262i
\(66\) 2.37842 + 4.16348i 0.292764 + 0.512489i
\(67\) 0.672017 + 0.582306i 0.0820999 + 0.0711400i 0.694944 0.719064i \(-0.255429\pi\)
−0.612844 + 0.790204i \(0.709975\pi\)
\(68\) −14.7754 1.54761i −1.79177 0.187676i
\(69\) −4.77659 + 0.429140i −0.575034 + 0.0516624i
\(70\) −4.48347 0.234165i −0.535877 0.0279881i
\(71\) −1.95680 + 2.25827i −0.232230 + 0.268007i −0.859889 0.510481i \(-0.829468\pi\)
0.627660 + 0.778488i \(0.284013\pi\)
\(72\) −1.13950 2.58873i −0.134291 0.305085i
\(73\) 1.68986 + 11.7532i 0.197783 + 1.37561i 0.810700 + 0.585462i \(0.199087\pi\)
−0.612917 + 0.790147i \(0.710004\pi\)
\(74\) 3.66178 + 9.26955i 0.425674 + 1.07756i
\(75\) 4.26442 + 0.613131i 0.492413 + 0.0707983i
\(76\) 2.15906 + 11.7822i 0.247661 + 1.35151i
\(77\) 6.99681 10.8872i 0.797360 1.24072i
\(78\) 2.82786 + 1.47430i 0.320192 + 0.166932i
\(79\) 5.10875 + 1.50006i 0.574779 + 0.168770i 0.556187 0.831057i \(-0.312264\pi\)
0.0185914 + 0.999827i \(0.494082\pi\)
\(80\) −2.91110 + 1.61033i −0.325471 + 0.180041i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) 2.64484 7.52998i 0.292074 0.831548i
\(83\) −4.72400 2.15738i −0.518526 0.236803i 0.138921 0.990303i \(-0.455637\pi\)
−0.657447 + 0.753500i \(0.728364\pi\)
\(84\) −4.77381 + 5.95724i −0.520866 + 0.649989i
\(85\) 1.74053 + 5.92771i 0.188787 + 0.642950i
\(86\) −0.451273 + 2.28505i −0.0486621 + 0.246403i
\(87\) −2.90293 6.35654i −0.311227 0.681492i
\(88\) 0.131797 9.58898i 0.0140496 1.02219i
\(89\) 14.8089 9.51710i 1.56974 1.00881i 0.590274 0.807203i \(-0.299020\pi\)
0.979466 0.201607i \(-0.0646165\pi\)
\(90\) −0.815566 + 0.847532i −0.0859682 + 0.0893377i
\(91\) 8.60748i 0.902309i
\(92\) 8.66512 + 4.11287i 0.903401 + 0.428796i
\(93\) 6.51906i 0.675995i
\(94\) −6.79918 6.54274i −0.701282 0.674832i
\(95\) 4.19048 2.69305i 0.429934 0.276302i
\(96\) −0.666557 + 5.61745i −0.0680301 + 0.573328i
\(97\) 7.16690 + 15.6933i 0.727689 + 1.59342i 0.802805 + 0.596242i \(0.203340\pi\)
−0.0751161 + 0.997175i \(0.523933\pi\)
\(98\) 10.5021 + 2.07405i 1.06087 + 0.209511i
\(99\) −0.955225 3.25320i −0.0960037 0.326959i
\(100\) −6.72397 5.38823i −0.672397 0.538823i
\(101\) −14.2756 6.51947i −1.42048 0.648712i −0.450696 0.892677i \(-0.648824\pi\)
−0.969784 + 0.243966i \(0.921552\pi\)
\(102\) 9.91130 + 3.48126i 0.981365 + 0.344696i
\(103\) 9.56910 + 11.0433i 0.942871 + 1.08813i 0.995983 + 0.0895426i \(0.0285405\pi\)
−0.0531120 + 0.998589i \(0.516914\pi\)
\(104\) −3.37425 5.41257i −0.330872 0.530746i
\(105\) 3.04602 + 0.894391i 0.297261 + 0.0872836i
\(106\) 6.35588 12.1912i 0.617337 1.18412i
\(107\) 4.80748 7.48058i 0.464756 0.723175i −0.527202 0.849740i \(-0.676759\pi\)
0.991958 + 0.126565i \(0.0403953\pi\)
\(108\) 0.360493 + 1.96724i 0.0346885 + 0.189298i
\(109\) 17.1764 + 2.46959i 1.64520 + 0.236544i 0.901753 0.432252i \(-0.142281\pi\)
0.743446 + 0.668796i \(0.233190\pi\)
\(110\) −3.70905 + 1.46520i −0.353644 + 0.139701i
\(111\) −1.00296 6.97572i −0.0951965 0.662106i
\(112\) 14.2759 5.41386i 1.34895 0.511562i
\(113\) 1.40284 1.61896i 0.131968 0.152299i −0.685920 0.727677i \(-0.740600\pi\)
0.817887 + 0.575379i \(0.195145\pi\)
\(114\) 0.441774 8.45847i 0.0413759 0.792208i
\(115\) 0.212091 3.98306i 0.0197776 0.371422i
\(116\) −1.45593 + 13.9000i −0.135180 + 1.29058i
\(117\) −1.70424 1.47673i −0.157557 0.136524i
\(118\) −8.68114 + 4.95917i −0.799164 + 0.456529i
\(119\) −4.03506 28.0644i −0.369893 2.57266i
\(120\) 2.26602 0.631667i 0.206858 0.0576631i
\(121\) 0.0705523 0.490702i 0.00641385 0.0446093i
\(122\) 5.29858 1.25975i 0.479711 0.114052i
\(123\) −3.05105 + 4.74753i −0.275104 + 0.428070i
\(124\) 6.62224 11.2311i 0.594695 1.00859i
\(125\) −2.18109 + 7.42812i −0.195083 + 0.664391i
\(126\) 4.25840 3.31738i 0.379369 0.295536i
\(127\) −4.73588 5.46550i −0.420241 0.484984i 0.505669 0.862727i \(-0.331246\pi\)
−0.925910 + 0.377743i \(0.876700\pi\)
\(128\) 6.85471 9.00072i 0.605877 0.795559i
\(129\) 0.684180 1.49815i 0.0602387 0.131904i
\(130\) −1.54842 + 2.15350i −0.135805 + 0.188874i
\(131\) 4.86383 + 16.5647i 0.424955 + 1.44726i 0.842544 + 0.538628i \(0.181057\pi\)
−0.417589 + 0.908636i \(0.637125\pi\)
\(132\) −1.65901 + 6.57500i −0.144398 + 0.572281i
\(133\) −20.7949 + 9.49671i −1.80315 + 0.823469i
\(134\) 0.113799 + 1.25237i 0.00983076 + 0.108188i
\(135\) 0.699673 0.449652i 0.0602182 0.0386999i
\(136\) −13.5390 16.0657i −1.16096 1.37763i
\(137\) 0.262237 0.0224044 0.0112022 0.999937i \(-0.496434\pi\)
0.0112022 + 0.999937i \(0.496434\pi\)
\(138\) −5.28832 4.24661i −0.450172 0.361495i
\(139\) 8.64728i 0.733453i 0.930329 + 0.366727i \(0.119522\pi\)
−0.930329 + 0.366727i \(0.880478\pi\)
\(140\) −4.33918 4.63510i −0.366727 0.391737i
\(141\) 3.60726 + 5.61300i 0.303786 + 0.472700i
\(142\) −4.20850 + 0.382415i −0.353169 + 0.0320916i
\(143\) −3.17617 6.95485i −0.265605 0.581594i
\(144\) 1.37732 3.75540i 0.114776 0.312950i
\(145\) 5.57654 1.63742i 0.463106 0.135980i
\(146\) −9.80316 + 13.6340i −0.811315 + 1.12836i
\(147\) −6.88546 3.14449i −0.567904 0.259353i
\(148\) −5.35822 + 13.0367i −0.440443 + 1.07161i
\(149\) 4.04268 3.50300i 0.331189 0.286977i −0.473353 0.880873i \(-0.656956\pi\)
0.804542 + 0.593896i \(0.202411\pi\)
\(150\) 3.74435 + 4.80648i 0.305725 + 0.392448i
\(151\) 4.83500 + 1.41968i 0.393466 + 0.115532i 0.472480 0.881341i \(-0.343359\pi\)
−0.0790136 + 0.996874i \(0.525177\pi\)
\(152\) −9.35345 + 14.1236i −0.758665 + 1.14558i
\(153\) −6.24891 4.01593i −0.505194 0.324669i
\(154\) 17.8060 4.23341i 1.43485 0.341138i
\(155\) −5.36673 0.771619i −0.431066 0.0619780i
\(156\) 1.43599 + 4.27536i 0.114971 + 0.342303i
\(157\) −8.36861 + 1.20322i −0.667888 + 0.0960278i −0.467915 0.883774i \(-0.654995\pi\)
−0.199973 + 0.979801i \(0.564086\pi\)
\(158\) 3.73502 + 6.53824i 0.297142 + 0.520154i
\(159\) −6.36636 + 7.34718i −0.504886 + 0.582669i
\(160\) −4.54559 1.21364i −0.359361 0.0959463i
\(161\) −3.56495 + 17.9552i −0.280957 + 1.41507i
\(162\) 0.0737618 1.41229i 0.00579527 0.110960i
\(163\) 14.7262 + 12.7603i 1.15344 + 0.999464i 0.999936 + 0.0113159i \(0.00360204\pi\)
0.153506 + 0.988148i \(0.450943\pi\)
\(164\) 10.0791 5.07977i 0.787043 0.396664i
\(165\) 2.79122 0.401316i 0.217296 0.0312424i
\(166\) −2.69839 6.83078i −0.209436 0.530172i
\(167\) −1.76517 + 12.2771i −0.136593 + 0.950027i 0.800098 + 0.599870i \(0.204781\pi\)
−0.936691 + 0.350157i \(0.886128\pi\)
\(168\) −10.7063 + 1.38944i −0.826011 + 0.107197i
\(169\) 6.65837 + 4.27907i 0.512182 + 0.329159i
\(170\) −4.03904 + 7.74729i −0.309780 + 0.594190i
\(171\) −1.68735 + 5.74659i −0.129035 + 0.439453i
\(172\) −2.70057 + 1.88602i −0.205917 + 0.143808i
\(173\) 2.44138 2.11547i 0.185615 0.160836i −0.557097 0.830447i \(-0.688085\pi\)
0.742712 + 0.669612i \(0.233539\pi\)
\(174\) 3.27502 9.32413i 0.248279 0.706861i
\(175\) 6.83137 14.9586i 0.516403 1.13076i
\(176\) 9.53724 9.64225i 0.718897 0.726812i
\(177\) 6.78314 1.99171i 0.509852 0.149706i
\(178\) 24.4232 + 4.82333i 1.83060 + 0.361524i
\(179\) 6.52201 2.97850i 0.487478 0.222624i −0.156485 0.987680i \(-0.550016\pi\)
0.643963 + 0.765057i \(0.277289\pi\)
\(180\) −1.66218 + 0.0639212i −0.123891 + 0.00476440i
\(181\) −11.4807 17.8643i −0.853351 1.32784i −0.943316 0.331895i \(-0.892312\pi\)
0.0899653 0.995945i \(-0.471324\pi\)
\(182\) 8.44047 8.77130i 0.625649 0.650172i
\(183\) −3.85110 −0.284681
\(184\) 4.79698 + 12.6881i 0.353638 + 0.935382i
\(185\) 5.86138 0.430937
\(186\) −6.39258 + 6.64314i −0.468726 + 0.487098i
\(187\) −13.6162 21.1872i −0.995712 1.54936i
\(188\) −0.512797 13.3345i −0.0373995 0.972520i
\(189\) −3.47207 + 1.58564i −0.252556 + 0.115338i
\(190\) 6.91104 + 1.36486i 0.501379 + 0.0990173i
\(191\) −17.5987 + 5.16744i −1.27340 + 0.373903i −0.847465 0.530852i \(-0.821872\pi\)
−0.425933 + 0.904755i \(0.640054\pi\)
\(192\) −6.18770 + 5.07074i −0.446559 + 0.365949i
\(193\) −6.63210 + 14.5223i −0.477389 + 1.04534i 0.505784 + 0.862660i \(0.331203\pi\)
−0.983173 + 0.182676i \(0.941524\pi\)
\(194\) −8.08554 + 23.0199i −0.580508 + 1.65273i
\(195\) 1.41742 1.22820i 0.101504 0.0879535i
\(196\) 8.66813 + 12.4118i 0.619152 + 0.886558i
\(197\) −2.52274 + 8.59165i −0.179737 + 0.612130i 0.819500 + 0.573079i \(0.194251\pi\)
−0.999237 + 0.0390501i \(0.987567\pi\)
\(198\) 2.21667 4.25181i 0.157532 0.302163i
\(199\) −3.10991 1.99861i −0.220455 0.141678i 0.425752 0.904840i \(-0.360010\pi\)
−0.646207 + 0.763162i \(0.723646\pi\)
\(200\) −1.56827 12.0843i −0.110893 0.854489i
\(201\) 0.126547 0.880155i 0.00892595 0.0620813i
\(202\) −8.15438 20.6422i −0.573740 1.45238i
\(203\) −26.4018 + 3.79601i −1.85305 + 0.266428i
\(204\) 6.68622 + 13.2665i 0.468129 + 0.928842i
\(205\) −3.54721 3.07367i −0.247748 0.214675i
\(206\) −1.07784 + 20.6369i −0.0750965 + 1.43784i
\(207\) 2.94344 + 3.78632i 0.204583 + 0.263167i
\(208\) 1.86908 8.82437i 0.129598 0.611860i
\(209\) −13.2980 + 15.3467i −0.919841 + 1.06155i
\(210\) 2.22695 + 3.89833i 0.153674 + 0.269010i
\(211\) 12.4883 1.79554i 0.859729 0.123610i 0.301671 0.953412i \(-0.402456\pi\)
0.558058 + 0.829802i \(0.311547\pi\)
\(212\) 18.4315 6.19070i 1.26588 0.425179i
\(213\) 2.95770 + 0.425254i 0.202659 + 0.0291379i
\(214\) 12.2344 2.90875i 0.836327 0.198838i
\(215\) 1.15235 + 0.740568i 0.0785894 + 0.0505063i
\(216\) −1.56172 + 2.35818i −0.106262 + 0.160454i
\(217\) 23.8753 + 7.01043i 1.62076 + 0.475899i
\(218\) 15.0816 + 19.3597i 1.02146 + 1.31121i
\(219\) 8.97383 7.77587i 0.606395 0.525444i
\(220\) −5.21642 2.14400i −0.351691 0.144548i
\(221\) −15.2369 6.95845i −1.02494 0.468076i
\(222\) 5.81833 8.09198i 0.390501 0.543098i
\(223\) −1.32004 + 0.387599i −0.0883966 + 0.0259556i −0.325632 0.945497i \(-0.605577\pi\)
0.237235 + 0.971452i \(0.423759\pi\)
\(224\) 19.8565 + 8.48204i 1.32672 + 0.566730i
\(225\) −1.78972 3.91894i −0.119315 0.261263i
\(226\) 3.01708 0.274154i 0.200693 0.0182365i
\(227\) 2.54285 + 3.95675i 0.168775 + 0.262619i 0.915330 0.402705i \(-0.131930\pi\)
−0.746555 + 0.665324i \(0.768294\pi\)
\(228\) 8.74454 8.18626i 0.579121 0.542148i
\(229\) 8.46102i 0.559120i −0.960128 0.279560i \(-0.909811\pi\)
0.960128 0.279560i \(-0.0901886\pi\)
\(230\) 4.12191 3.85089i 0.271791 0.253920i
\(231\) −12.9417 −0.851501
\(232\) −15.1140 + 12.7369i −0.992281 + 0.836219i
\(233\) −10.2996 + 6.61916i −0.674750 + 0.433635i −0.832635 0.553822i \(-0.813169\pi\)
0.157885 + 0.987457i \(0.449532\pi\)
\(234\) −0.288596 3.17602i −0.0188661 0.207623i
\(235\) −5.04780 + 2.30525i −0.329282 + 0.150378i
\(236\) −13.7093 3.45915i −0.892401 0.225172i
\(237\) −1.50006 5.10875i −0.0974396 0.331849i
\(238\) 23.4081 32.5554i 1.51732 2.11025i
\(239\) 0.296939 0.650205i 0.0192074 0.0420583i −0.899785 0.436333i \(-0.856277\pi\)
0.918993 + 0.394275i \(0.129004\pi\)
\(240\) 2.92856 + 1.57836i 0.189037 + 0.101883i
\(241\) −9.71895 11.2163i −0.626053 0.722503i 0.350792 0.936453i \(-0.385912\pi\)
−0.976845 + 0.213950i \(0.931367\pi\)
\(242\) 0.553077 0.430858i 0.0355531 0.0276966i
\(243\) −0.281733 + 0.959493i −0.0180732 + 0.0615515i
\(244\) 6.63473 + 3.91205i 0.424745 + 0.250443i
\(245\) 3.40365 5.29618i 0.217451 0.338360i
\(246\) −7.76454 + 1.84603i −0.495049 + 0.117699i
\(247\) −1.92208 + 13.3684i −0.122299 + 0.850609i
\(248\) 17.7615 4.95114i 1.12786 0.314398i
\(249\) 0.739085 + 5.14045i 0.0468376 + 0.325763i
\(250\) −9.50660 + 5.43072i −0.601250 + 0.343469i
\(251\) −5.50873 4.77334i −0.347708 0.301291i 0.463444 0.886126i \(-0.346614\pi\)
−0.811152 + 0.584836i \(0.801159\pi\)
\(252\) 7.59247 + 0.795257i 0.478281 + 0.0500965i
\(253\) 3.74503 + 15.8233i 0.235448 + 0.994803i
\(254\) 0.533437 10.2135i 0.0334708 0.640853i
\(255\) 4.04570 4.66899i 0.253352 0.292384i
\(256\) 15.8113 2.45031i 0.988204 0.153144i
\(257\) −3.61032 25.1103i −0.225206 1.56634i −0.717906 0.696140i \(-0.754899\pi\)
0.492701 0.870199i \(-0.336010\pi\)
\(258\) 2.16628 0.855754i 0.134867 0.0532769i
\(259\) −26.6263 3.82829i −1.65448 0.237878i
\(260\) −3.68960 + 0.676111i −0.228819 + 0.0419306i
\(261\) −3.77802 + 5.87871i −0.233853 + 0.363883i
\(262\) −11.2869 + 21.6494i −0.697307 + 1.33751i
\(263\) 11.9550 + 3.51030i 0.737175 + 0.216454i 0.628703 0.777645i \(-0.283586\pi\)
0.108472 + 0.994100i \(0.465404\pi\)
\(264\) −8.13802 + 5.07332i −0.500861 + 0.312241i
\(265\) −5.29492 6.11066i −0.325264 0.375375i
\(266\) −30.5031 10.7140i −1.87027 0.656915i
\(267\) −16.0126 7.31270i −0.979955 0.447530i
\(268\) −1.11210 + 1.38779i −0.0679325 + 0.0847730i
\(269\) −2.34812 7.99696i −0.143167 0.487583i 0.856421 0.516278i \(-0.172683\pi\)
−0.999588 + 0.0286950i \(0.990865\pi\)
\(270\) 1.15392 + 0.227887i 0.0702252 + 0.0138688i
\(271\) 1.71209 + 3.74895i 0.104002 + 0.227732i 0.954478 0.298281i \(-0.0964134\pi\)
−0.850476 + 0.526014i \(0.823686\pi\)
\(272\) 1.95737 29.6478i 0.118683 1.79766i
\(273\) −7.24107 + 4.65355i −0.438249 + 0.281646i
\(274\) 0.267228 + 0.257149i 0.0161439 + 0.0155350i
\(275\) 14.6074i 0.880857i
\(276\) −1.22475 9.51315i −0.0737216 0.572624i
\(277\) 17.5330i 1.05346i 0.850034 + 0.526728i \(0.176581\pi\)
−0.850034 + 0.526728i \(0.823419\pi\)
\(278\) −8.47951 + 8.81187i −0.508567 + 0.528501i
\(279\) 5.48418 3.52447i 0.328329 0.211004i
\(280\) 0.123403 8.97830i 0.00737477 0.536556i
\(281\) −9.36365 20.5035i −0.558588 1.22314i −0.952654 0.304056i \(-0.901659\pi\)
0.394066 0.919082i \(-0.371068\pi\)
\(282\) −1.82818 + 9.25710i −0.108867 + 0.551253i
\(283\) 0.270632 + 0.921689i 0.0160874 + 0.0547887i 0.967146 0.254223i \(-0.0818198\pi\)
−0.951058 + 0.309012i \(0.900002\pi\)
\(284\) −4.66359 3.73715i −0.276733 0.221759i
\(285\) −4.53108 2.06928i −0.268398 0.122573i
\(286\) 3.58329 10.2018i 0.211884 0.603243i
\(287\) 14.1063 + 16.2795i 0.832666 + 0.960948i
\(288\) 5.08606 2.47628i 0.299699 0.145916i
\(289\) −36.6301 10.7556i −2.15471 0.632681i
\(290\) 7.28833 + 3.79976i 0.427985 + 0.223129i
\(291\) 9.32735 14.5136i 0.546779 0.850805i
\(292\) −23.3592 + 4.28052i −1.36699 + 0.250499i
\(293\) 6.44045 + 0.925997i 0.376255 + 0.0540973i 0.327848 0.944730i \(-0.393677\pi\)
0.0484068 + 0.998828i \(0.484586\pi\)
\(294\) −3.93304 9.95621i −0.229379 0.580658i
\(295\) 0.836771 + 5.81987i 0.0487187 + 0.338846i
\(296\) −18.2440 + 8.03058i −1.06041 + 0.466768i
\(297\) −2.22033 + 2.56240i −0.128837 + 0.148685i
\(298\) 7.55466 + 0.394569i 0.437630 + 0.0228568i
\(299\) 7.78512 + 7.50674i 0.450225 + 0.434126i
\(300\) −0.897611 + 8.56966i −0.0518236 + 0.494770i
\(301\) −4.75104 4.11680i −0.273845 0.237288i
\(302\) 3.53488 + 6.18789i 0.203410 + 0.356073i
\(303\) 2.23347 + 15.5341i 0.128310 + 0.892413i
\(304\) −23.3811 + 5.22047i −1.34100 + 0.299414i
\(305\) 0.455830 3.17037i 0.0261007 0.181535i
\(306\) −2.42983 10.2200i −0.138904 0.584240i
\(307\) 15.4412 24.0269i 0.881275 1.37129i −0.0468032 0.998904i \(-0.514903\pi\)
0.928078 0.372386i \(-0.121460\pi\)
\(308\) 22.2961 + 13.1465i 1.27044 + 0.749093i
\(309\) 4.11679 14.0205i 0.234196 0.797599i
\(310\) −4.71223 6.04891i −0.267636 0.343555i
\(311\) −4.33322 5.00081i −0.245715 0.283570i 0.619473 0.785018i \(-0.287346\pi\)
−0.865188 + 0.501448i \(0.832801\pi\)
\(312\) −2.72909 + 5.76486i −0.154504 + 0.326371i
\(313\) −1.78234 + 3.90279i −0.100744 + 0.220599i −0.953292 0.302050i \(-0.902329\pi\)
0.852548 + 0.522649i \(0.175056\pi\)
\(314\) −9.70777 6.98012i −0.547841 0.393911i
\(315\) −0.894391 3.04602i −0.0503932 0.171624i
\(316\) −2.60527 + 10.3252i −0.146558 + 0.580840i
\(317\) −0.275172 + 0.125667i −0.0154552 + 0.00705816i −0.423128 0.906070i \(-0.639068\pi\)
0.407672 + 0.913128i \(0.366341\pi\)
\(318\) −13.6922 + 1.24417i −0.767818 + 0.0697696i
\(319\) −19.9320 + 12.8095i −1.11598 + 0.717195i
\(320\) −3.44202 5.69413i −0.192415 0.318312i
\(321\) −8.89218 −0.496313
\(322\) −21.2396 + 14.8012i −1.18364 + 0.824837i
\(323\) 44.4883i 2.47539i
\(324\) 1.46005 1.36684i 0.0811140 0.0759354i
\(325\) −5.25249 8.17303i −0.291356 0.453358i
\(326\) 2.49373 + 27.4436i 0.138115 + 1.51996i
\(327\) −7.20870 15.7849i −0.398642 0.872904i
\(328\) 15.2521 + 4.70706i 0.842157 + 0.259904i
\(329\) 24.4361 7.17510i 1.34721 0.395576i
\(330\) 3.23787 + 2.32811i 0.178239 + 0.128158i
\(331\) −24.9427 11.3910i −1.37098 0.626103i −0.412416 0.910996i \(-0.635315\pi\)
−0.958559 + 0.284892i \(0.908042\pi\)
\(332\) 3.94850 9.60683i 0.216702 0.527243i
\(333\) −5.32611 + 4.61510i −0.291869 + 0.252906i
\(334\) −13.8376 + 10.7798i −0.757161 + 0.589844i
\(335\) 0.709597 + 0.208357i 0.0387694 + 0.0113837i
\(336\) −12.2726 9.08272i −0.669524 0.495503i
\(337\) 11.8272 + 7.60090i 0.644270 + 0.414047i 0.821568 0.570110i \(-0.193099\pi\)
−0.177298 + 0.984157i \(0.556736\pi\)
\(338\) 2.58904 + 10.8897i 0.140825 + 0.592321i
\(339\) −2.12038 0.304865i −0.115163 0.0165580i
\(340\) −11.7129 + 3.93407i −0.635221 + 0.213355i
\(341\) 21.8781 3.14560i 1.18477 0.170344i
\(342\) −7.35456 + 4.20135i −0.397689 + 0.227183i
\(343\) −1.42354 + 1.64285i −0.0768639 + 0.0887056i
\(344\) −4.60140 0.726261i −0.248091 0.0391574i
\(345\) −3.46543 + 1.97498i −0.186572 + 0.106330i
\(346\) 4.56227 + 0.238281i 0.245269 + 0.0128100i
\(347\) 4.82294 + 4.17910i 0.258909 + 0.224346i 0.774637 0.632407i \(-0.217933\pi\)
−0.515727 + 0.856753i \(0.672478\pi\)
\(348\) 12.4806 6.29012i 0.669029 0.337186i
\(349\) 19.4886 2.80204i 1.04320 0.149990i 0.400649 0.916232i \(-0.368785\pi\)
0.642552 + 0.766242i \(0.277876\pi\)
\(350\) 21.6298 8.54449i 1.15616 0.456722i
\(351\) −0.320925 + 2.23208i −0.0171297 + 0.119140i
\(352\) 19.1739 0.473570i 1.02197 0.0252414i
\(353\) −17.8735 11.4866i −0.951311 0.611371i −0.0297309 0.999558i \(-0.509465\pi\)
−0.921581 + 0.388187i \(0.873101\pi\)
\(354\) 8.86530 + 4.62191i 0.471185 + 0.245652i
\(355\) −0.700169 + 2.38456i −0.0371611 + 0.126559i
\(356\) 20.1583 + 28.8645i 1.06839 + 1.52981i
\(357\) −21.4278 + 18.5673i −1.13408 + 0.982685i
\(358\) 9.56686 + 3.36028i 0.505624 + 0.177596i
\(359\) 1.04838 2.29563i 0.0553315 0.121159i −0.879947 0.475072i \(-0.842422\pi\)
0.935278 + 0.353913i \(0.115149\pi\)
\(360\) −1.75649 1.56479i −0.0925753 0.0824716i
\(361\) 16.1871 4.75296i 0.851952 0.250156i
\(362\) 5.81848 29.4622i 0.305813 1.54850i
\(363\) −0.450948 + 0.205941i −0.0236687 + 0.0108091i
\(364\) 17.2022 0.661535i 0.901642 0.0346738i
\(365\) 5.33920 + 8.30796i 0.279467 + 0.434859i
\(366\) −3.92440 3.77638i −0.205131 0.197394i
\(367\) −1.23586 −0.0645114 −0.0322557 0.999480i \(-0.510269\pi\)
−0.0322557 + 0.999480i \(0.510269\pi\)
\(368\) −7.55369 + 17.6335i −0.393763 + 0.919212i
\(369\) 5.64340 0.293783
\(370\) 5.97294 + 5.74766i 0.310518 + 0.298807i
\(371\) 20.0620 + 31.2170i 1.04157 + 1.62071i
\(372\) −13.0285 + 0.501028i −0.675496 + 0.0259771i
\(373\) 2.12963 0.972570i 0.110268 0.0503578i −0.359517 0.933138i \(-0.617059\pi\)
0.469785 + 0.882781i \(0.344331\pi\)
\(374\) 6.90077 34.9424i 0.356830 1.80683i
\(375\) 7.42812 2.18109i 0.383586 0.112631i
\(376\) 12.5532 14.0912i 0.647384 0.726696i
\(377\) −6.54622 + 14.3342i −0.337147 + 0.738250i
\(378\) −5.09303 1.78888i −0.261957 0.0920102i
\(379\) −6.58892 + 5.70933i −0.338450 + 0.293268i −0.807458 0.589926i \(-0.799157\pi\)
0.469008 + 0.883194i \(0.344612\pi\)
\(380\) 5.70419 + 8.16778i 0.292619 + 0.418998i
\(381\) −2.03746 + 6.93894i −0.104382 + 0.355493i
\(382\) −23.0008 11.9915i −1.17683 0.613536i
\(383\) 31.7682 + 20.4162i 1.62328 + 1.04322i 0.953823 + 0.300370i \(0.0971100\pi\)
0.669458 + 0.742850i \(0.266526\pi\)
\(384\) −11.2778 0.900395i −0.575519 0.0459481i
\(385\) 1.53183 10.6541i 0.0780690 0.542982i
\(386\) −20.9988 + 8.29525i −1.06881 + 0.422217i
\(387\) −1.63022 + 0.234390i −0.0828685 + 0.0119147i
\(388\) −30.8127 + 15.5293i −1.56428 + 0.788383i
\(389\) 18.2951 + 15.8528i 0.927598 + 0.803769i 0.980840 0.194813i \(-0.0624100\pi\)
−0.0532420 + 0.998582i \(0.516955\pi\)
\(390\) 2.64877 + 0.138342i 0.134126 + 0.00700520i
\(391\) 28.9022 + 20.8260i 1.46165 + 1.05322i
\(392\) −3.33789 + 21.1480i −0.168589 + 1.06814i
\(393\) 11.3055 13.0473i 0.570288 0.658147i
\(394\) −10.9957 + 6.28138i −0.553955 + 0.316451i
\(395\) 4.38326 0.630218i 0.220546 0.0317097i
\(396\) 6.42817 2.15907i 0.323028 0.108497i
\(397\) −28.0372 4.03113i −1.40714 0.202317i −0.603470 0.797386i \(-0.706216\pi\)
−0.803675 + 0.595069i \(0.797125\pi\)
\(398\) −1.20926 5.08622i −0.0606146 0.254949i
\(399\) 19.2317 + 12.3595i 0.962789 + 0.618747i
\(400\) 10.2517 13.8521i 0.512586 0.692606i
\(401\) 20.0199 + 5.87837i 0.999746 + 0.293552i 0.740352 0.672220i \(-0.234659\pi\)
0.259394 + 0.965772i \(0.416477\pi\)
\(402\) 0.992034 0.772815i 0.0494781 0.0385445i
\(403\) 11.1101 9.62692i 0.553431 0.479551i
\(404\) 11.9321 29.0313i 0.593646 1.44436i
\(405\) −0.756543 0.345502i −0.0375929 0.0171681i
\(406\) −30.6267 22.0213i −1.51998 1.09290i
\(407\) −22.9268 + 6.73190i −1.13644 + 0.333688i
\(408\) −6.19564 + 20.0755i −0.306730 + 0.993886i
\(409\) −6.70333 14.6782i −0.331458 0.725792i 0.668379 0.743821i \(-0.266988\pi\)
−0.999837 + 0.0180283i \(0.994261\pi\)
\(410\) −0.600684 6.61055i −0.0296657 0.326472i
\(411\) −0.141776 0.220608i −0.00699330 0.0108818i
\(412\) −21.3349 + 19.9728i −1.05109 + 0.983989i
\(413\) 26.9843i 1.32781i
\(414\) −0.713394 + 6.74471i −0.0350614 + 0.331484i
\(415\) −4.31929 −0.212025
\(416\) 10.5578 7.15950i 0.517639 0.351023i
\(417\) 7.27456 4.67508i 0.356237 0.228939i
\(418\) −28.6000 + 2.59881i −1.39887 + 0.127112i
\(419\) −7.69258 + 3.51308i −0.375807 + 0.171625i −0.594359 0.804200i \(-0.702594\pi\)
0.218552 + 0.975825i \(0.429867\pi\)
\(420\) −1.55336 + 6.15627i −0.0757960 + 0.300395i
\(421\) 9.50846 + 32.3828i 0.463414 + 1.57824i 0.777522 + 0.628855i \(0.216476\pi\)
−0.314109 + 0.949387i \(0.601706\pi\)
\(422\) 14.4867 + 10.4163i 0.705201 + 0.507056i
\(423\) 2.77173 6.06924i 0.134766 0.295096i
\(424\) 24.8529 + 11.7654i 1.20696 + 0.571378i
\(425\) −20.9570 24.1857i −1.01656 1.17318i
\(426\) 2.59699 + 3.33367i 0.125825 + 0.161517i
\(427\) −4.14137 + 14.1042i −0.200415 + 0.682551i
\(428\) 15.3196 + 9.03292i 0.740500 + 0.436623i
\(429\) −4.13362 + 6.43204i −0.199573 + 0.310542i
\(430\) 0.448079 + 1.88465i 0.0216083 + 0.0908860i
\(431\) 0.979740 6.81424i 0.0471924 0.328230i −0.952525 0.304460i \(-0.901524\pi\)
0.999717 0.0237701i \(-0.00756697\pi\)
\(432\) −3.90387 + 0.871648i −0.187825 + 0.0419372i
\(433\) −1.02133 7.10349i −0.0490819 0.341372i −0.999535 0.0305030i \(-0.990289\pi\)
0.950453 0.310869i \(-0.100620\pi\)
\(434\) 17.4553 + 30.5559i 0.837882 + 1.46673i
\(435\) −4.39239 3.80603i −0.210599 0.182485i
\(436\) −3.61543 + 34.5172i −0.173148 + 1.65307i
\(437\) 9.54623 27.0904i 0.456658 1.29591i
\(438\) 16.7696 + 0.875853i 0.801284 + 0.0418499i
\(439\) 1.75095 2.02070i 0.0835682 0.0964428i −0.712426 0.701748i \(-0.752403\pi\)
0.795994 + 0.605305i \(0.206949\pi\)
\(440\) −3.21330 7.30002i −0.153188 0.348015i
\(441\) 1.07725 + 7.49246i 0.0512978 + 0.356784i
\(442\) −8.70344 22.0322i −0.413981 1.04796i
\(443\) −20.5146 2.94956i −0.974678 0.140138i −0.363469 0.931606i \(-0.618408\pi\)
−0.611210 + 0.791469i \(0.709317\pi\)
\(444\) 13.8641 2.54056i 0.657959 0.120570i
\(445\) 7.91539 12.3166i 0.375226 0.583863i
\(446\) −1.72525 0.899454i −0.0816927 0.0425904i
\(447\) −5.13255 1.50705i −0.242761 0.0712812i
\(448\) 11.9169 + 28.1147i 0.563021 + 1.32829i
\(449\) 13.0936 + 15.1108i 0.617925 + 0.713123i 0.975312 0.220833i \(-0.0708776\pi\)
−0.357387 + 0.933957i \(0.616332\pi\)
\(450\) 2.01912 5.74853i 0.0951823 0.270988i
\(451\) 17.4050 + 7.94861i 0.819571 + 0.374286i
\(452\) 3.34334 + 2.67917i 0.157258 + 0.126018i
\(453\) −1.41968 4.83500i −0.0667025 0.227168i
\(454\) −1.28873 + 6.52556i −0.0604832 + 0.306260i
\(455\) −2.97390 6.51193i −0.139418 0.305284i
\(456\) 16.9384 + 0.232812i 0.793213 + 0.0109024i
\(457\) −22.5392 + 14.4851i −1.05434 + 0.677582i −0.948492 0.316800i \(-0.897392\pi\)
−0.105846 + 0.994382i \(0.533755\pi\)
\(458\) 8.29686 8.62206i 0.387687 0.402882i
\(459\) 7.42809i 0.346714i
\(460\) 7.97654 + 0.117747i 0.371908 + 0.00548998i
\(461\) 24.1988i 1.12705i −0.826099 0.563525i \(-0.809445\pi\)
0.826099 0.563525i \(-0.190555\pi\)
\(462\) −13.1880 12.6906i −0.613562 0.590420i
\(463\) 9.44766 6.07164i 0.439070 0.282173i −0.302372 0.953190i \(-0.597779\pi\)
0.741442 + 0.671017i \(0.234142\pi\)
\(464\) −27.8914 1.84141i −1.29483 0.0854852i
\(465\) 2.25235 + 4.93195i 0.104450 + 0.228714i
\(466\) −16.9864 3.35464i −0.786878 0.155400i
\(467\) −5.40475 18.4069i −0.250102 0.851770i −0.984847 0.173426i \(-0.944516\pi\)
0.734745 0.678344i \(-0.237302\pi\)
\(468\) 2.82031 3.51946i 0.130369 0.162687i
\(469\) −3.08738 1.40996i −0.142562 0.0651059i
\(470\) −7.40440 2.60073i −0.341539 0.119963i
\(471\) 5.53663 + 6.38961i 0.255115 + 0.294418i
\(472\) −10.5782 16.9683i −0.486902 0.781030i
\(473\) −5.35795 1.57324i −0.246359 0.0723375i
\(474\) 3.48101 6.67694i 0.159888 0.306682i
\(475\) −13.9502 + 21.7069i −0.640079 + 0.995982i
\(476\) 55.7773 10.2211i 2.55655 0.468482i
\(477\) 9.62275 + 1.38354i 0.440596 + 0.0633481i
\(478\) 0.940181 0.371403i 0.0430029 0.0169876i
\(479\) −0.371521 2.58399i −0.0169752 0.118065i 0.979572 0.201094i \(-0.0644497\pi\)
−0.996547 + 0.0830288i \(0.973541\pi\)
\(480\) 1.43656 + 4.48014i 0.0655696 + 0.204489i
\(481\) −10.4072 + 12.0106i −0.474528 + 0.547635i
\(482\) 1.09472 20.9601i 0.0498630 0.954708i
\(483\) 17.0322 6.70830i 0.774994 0.305238i
\(484\) 0.986102 + 0.103287i 0.0448228 + 0.00469487i
\(485\) 10.8441 + 9.39650i 0.492407 + 0.426673i
\(486\) −1.22797 + 0.701489i −0.0557019 + 0.0318202i
\(487\) 0.409020 + 2.84480i 0.0185345 + 0.128910i 0.996988 0.0775578i \(-0.0247122\pi\)
−0.978453 + 0.206468i \(0.933803\pi\)
\(488\) 2.92486 + 10.4925i 0.132402 + 0.474974i
\(489\) 2.77308 19.2872i 0.125403 0.872196i
\(490\) 8.66184 2.05937i 0.391302 0.0930328i
\(491\) −6.27959 + 9.77123i −0.283394 + 0.440970i −0.953543 0.301257i \(-0.902594\pi\)
0.670149 + 0.742227i \(0.266230\pi\)
\(492\) −9.72253 5.73272i −0.438326 0.258451i
\(493\) −14.6241 + 49.8051i −0.658636 + 2.24311i
\(494\) −15.0677 + 11.7380i −0.677926 + 0.528119i
\(495\) −1.84665 2.13115i −0.0830009 0.0957882i
\(496\) 22.9546 + 12.3715i 1.03069 + 0.555498i
\(497\) 4.73808 10.3749i 0.212532 0.465380i
\(498\) −4.28756 + 5.96303i −0.192130 + 0.267210i
\(499\) −6.42345 21.8763i −0.287553 0.979316i −0.968920 0.247374i \(-0.920432\pi\)
0.681367 0.731942i \(-0.261386\pi\)
\(500\) −15.0129 3.78807i −0.671397 0.169408i
\(501\) 11.2824 5.15252i 0.504062 0.230197i
\(502\) −0.932848 10.2660i −0.0416350 0.458196i
\(503\) −18.0183 + 11.5797i −0.803397 + 0.516312i −0.876723 0.480996i \(-0.840275\pi\)
0.0733256 + 0.997308i \(0.476639\pi\)
\(504\) 6.95715 + 8.25555i 0.309896 + 0.367731i
\(505\) −13.0526 −0.580835
\(506\) −11.7000 + 19.7968i −0.520128 + 0.880077i
\(507\) 7.91482i 0.351509i
\(508\) 10.5589 9.88482i 0.468477 0.438568i
\(509\) −6.40040 9.95922i −0.283693 0.441435i 0.669936 0.742419i \(-0.266321\pi\)
−0.953629 + 0.300984i \(0.902685\pi\)
\(510\) 8.70111 0.790647i 0.385291 0.0350104i
\(511\) −18.8280 41.2276i −0.832902 1.82380i
\(512\) 18.5150 + 13.0075i 0.818254 + 0.574857i
\(513\) 5.74659 1.68735i 0.253718 0.0744984i
\(514\) 20.9441 29.1285i 0.923804 1.28480i
\(515\) 11.0549 + 5.04861i 0.487138 + 0.222468i
\(516\) 3.04666 + 1.25221i 0.134122 + 0.0551254i
\(517\) 17.0968 14.8145i 0.751917 0.651539i
\(518\) −23.3791 30.0109i −1.02722 1.31860i
\(519\) −3.09955 0.910111i −0.136055 0.0399494i
\(520\) −4.42282 2.92903i −0.193953 0.128447i
\(521\) 2.17658 + 1.39880i 0.0953578 + 0.0612827i 0.587451 0.809260i \(-0.300132\pi\)
−0.492093 + 0.870543i \(0.663768\pi\)
\(522\) −9.61457 + 2.28588i −0.420818 + 0.100050i
\(523\) 11.1116 + 1.59760i 0.485874 + 0.0698582i 0.380899 0.924617i \(-0.375615\pi\)
0.104975 + 0.994475i \(0.466524\pi\)
\(524\) −32.7311 + 10.9936i −1.42986 + 0.480256i
\(525\) −16.2773 + 2.34032i −0.710399 + 0.102140i
\(526\) 8.74032 + 15.3001i 0.381096 + 0.667117i
\(527\) 31.7111 36.5965i 1.38136 1.59417i
\(528\) −13.2678 2.81025i −0.577407 0.122300i
\(529\) −13.1307 18.8834i −0.570901 0.821019i
\(530\) 0.596406 11.4192i 0.0259062 0.496016i
\(531\) −5.34277 4.62954i −0.231857 0.200905i
\(532\) −20.5776 40.8292i −0.892152 1.77017i
\(533\) 12.5965 1.81111i 0.545616 0.0784477i
\(534\) −9.14653 23.1538i −0.395809 1.00196i
\(535\) 1.05251 7.32037i 0.0455040 0.316487i
\(536\) −2.49414 + 0.323682i −0.107730 + 0.0139809i
\(537\) −6.03174 3.87637i −0.260289 0.167278i
\(538\) 5.44899 10.4517i 0.234923 0.450606i
\(539\) −7.23058 + 24.6251i −0.311443 + 1.06068i
\(540\) 0.952414 + 1.36375i 0.0409854 + 0.0586866i
\(541\) 3.73329 3.23491i 0.160507 0.139080i −0.570905 0.821016i \(-0.693407\pi\)
0.731411 + 0.681937i \(0.238862\pi\)
\(542\) −1.93154 + 5.49917i −0.0829666 + 0.236209i
\(543\) −8.82146 + 19.3163i −0.378565 + 0.828942i
\(544\) 31.0672 28.2927i 1.33200 1.21304i
\(545\) 13.8479 4.06612i 0.593180 0.174173i
\(546\) −11.9422 2.35845i −0.511077 0.100932i
\(547\) 31.4439 14.3599i 1.34444 0.613986i 0.392356 0.919814i \(-0.371660\pi\)
0.952087 + 0.305827i \(0.0989330\pi\)
\(548\) 0.0201545 + 0.524087i 0.000860956 + 0.0223879i
\(549\) 2.08206 + 3.23975i 0.0888602 + 0.138269i
\(550\) 14.3239 14.8854i 0.610775 0.634715i
\(551\) 41.8527 1.78298
\(552\) 8.08051 10.8952i 0.343929 0.463731i
\(553\) −20.3233 −0.864236
\(554\) −17.1928 + 17.8667i −0.730452 + 0.759083i
\(555\) −3.16890 4.93091i −0.134512 0.209305i
\(556\) −17.2818 + 0.664594i −0.732911 + 0.0281851i
\(557\) 29.6855 13.5569i 1.25782 0.574425i 0.328777 0.944408i \(-0.393363\pi\)
0.929039 + 0.369982i \(0.120636\pi\)
\(558\) 9.04465 + 1.78623i 0.382891 + 0.0756170i
\(559\) −3.56355 + 1.04635i −0.150722 + 0.0442561i
\(560\) 8.92986 9.02818i 0.377355 0.381510i
\(561\) −10.4623 + 22.9093i −0.441719 + 0.967231i
\(562\) 10.5638 30.0757i 0.445609 1.26867i
\(563\) 17.2392 14.9379i 0.726546 0.629555i −0.210972 0.977492i \(-0.567663\pi\)
0.937518 + 0.347937i \(0.113118\pi\)
\(564\) −10.9405 + 7.64058i −0.460677 + 0.321726i
\(565\) 0.501953 1.70949i 0.0211173 0.0719189i
\(566\) −0.628023 + 1.20461i −0.0263978 + 0.0506337i
\(567\) 3.21107 + 2.06363i 0.134852 + 0.0866642i
\(568\) −1.08771 8.38139i −0.0456394 0.351675i
\(569\) −3.01328 + 20.9578i −0.126323 + 0.878596i 0.823835 + 0.566829i \(0.191830\pi\)
−0.950159 + 0.311767i \(0.899079\pi\)
\(570\) −2.58820 6.55183i −0.108408 0.274426i
\(571\) 28.3459 4.07552i 1.18624 0.170555i 0.479184 0.877714i \(-0.340933\pi\)
0.707055 + 0.707159i \(0.250024\pi\)
\(572\) 13.6553 6.88218i 0.570957 0.287758i
\(573\) 13.8617 + 12.0112i 0.579081 + 0.501777i
\(574\) −1.58889 + 30.4219i −0.0663191 + 1.26979i
\(575\) 7.57169 + 19.2244i 0.315761 + 0.801712i
\(576\) 7.61110 + 2.46398i 0.317129 + 0.102666i
\(577\) 6.65166 7.67643i 0.276912 0.319574i −0.600209 0.799844i \(-0.704916\pi\)
0.877121 + 0.480270i \(0.159461\pi\)
\(578\) −26.7804 46.8797i −1.11392 1.94994i
\(579\) 15.8025 2.27206i 0.656729 0.0944234i
\(580\) 3.70101 + 11.0190i 0.153676 + 0.457539i
\(581\) 19.6211 + 2.82109i 0.814020 + 0.117038i
\(582\) 23.7369 5.64350i 0.983927 0.233930i
\(583\) 27.7292 + 17.8205i 1.14843 + 0.738050i
\(584\) −28.0013 18.5440i −1.15870 0.767355i
\(585\) −1.79955 0.528395i −0.0744021 0.0218464i
\(586\) 5.65500 + 7.25911i 0.233606 + 0.299871i
\(587\) −14.3191 + 12.4076i −0.591014 + 0.512116i −0.898231 0.439523i \(-0.855147\pi\)
0.307218 + 0.951639i \(0.400602\pi\)
\(588\) 5.75514 14.0024i 0.237338 0.577450i
\(589\) −35.5156 16.2194i −1.46339 0.668310i
\(590\) −4.85426 + 6.75118i −0.199847 + 0.277942i
\(591\) 8.59165 2.52274i 0.353413 0.103771i
\(592\) −26.4660 9.70658i −1.08774 0.398938i
\(593\) −9.35760 20.4903i −0.384271 0.841435i −0.998626 0.0524056i \(-0.983311\pi\)
0.614355 0.789029i \(-0.289416\pi\)
\(594\) −4.77527 + 0.433916i −0.195932 + 0.0178038i
\(595\) −12.7490 19.8378i −0.522658 0.813272i
\(596\) 7.31154 + 7.81017i 0.299492 + 0.319917i
\(597\) 3.69675i 0.151298i
\(598\) 0.572191 + 15.2837i 0.0233986 + 0.624996i
\(599\) 28.4392 1.16199 0.580997 0.813906i \(-0.302663\pi\)
0.580997 + 0.813906i \(0.302663\pi\)
\(600\) −9.31809 + 7.85257i −0.380409 + 0.320580i
\(601\) 37.1777 23.8927i 1.51651 0.974602i 0.524097 0.851659i \(-0.324403\pi\)
0.992414 0.122944i \(-0.0392334\pi\)
\(602\) −0.804541 8.85401i −0.0327906 0.360863i
\(603\) −0.808850 + 0.369389i −0.0329389 + 0.0150427i
\(604\) −2.46567 + 9.77196i −0.100327 + 0.397615i
\(605\) −0.116163 0.395613i −0.00472268 0.0160840i
\(606\) −12.9568 + 18.0199i −0.526332 + 0.732010i
\(607\) −3.34591 + 7.32651i −0.135806 + 0.297374i −0.965301 0.261141i \(-0.915901\pi\)
0.829495 + 0.558515i \(0.188629\pi\)
\(608\) −28.9452 17.6076i −1.17388 0.714082i
\(609\) 17.4673 + 20.1584i 0.707812 + 0.816858i
\(610\) 3.57336 2.78372i 0.144681 0.112710i
\(611\) 4.23896 14.4366i 0.171490 0.584041i
\(612\) 7.54566 12.7972i 0.305015 0.517297i
\(613\) 3.79315 5.90226i 0.153204 0.238390i −0.756164 0.654382i \(-0.772929\pi\)
0.909369 + 0.415991i \(0.136565\pi\)
\(614\) 39.2958 9.34266i 1.58585 0.377039i
\(615\) −0.667973 + 4.64585i −0.0269353 + 0.187339i
\(616\) 9.82905 + 35.2603i 0.396024 + 1.42068i
\(617\) −1.50775 10.4866i −0.0606997 0.422176i −0.997401 0.0720469i \(-0.977047\pi\)
0.936702 0.350129i \(-0.113862\pi\)
\(618\) 17.9436 10.2504i 0.721799 0.412333i
\(619\) 31.5068 + 27.3008i 1.26636 + 1.09731i 0.990701 + 0.136057i \(0.0434430\pi\)
0.275663 + 0.961254i \(0.411102\pi\)
\(620\) 1.12963 10.7848i 0.0453672 0.433129i
\(621\) 1.59391 4.52321i 0.0639614 0.181510i
\(622\) 0.488083 9.34514i 0.0195703 0.374706i
\(623\) −44.0015 + 50.7804i −1.76288 + 2.03447i
\(624\) −8.43403 + 3.19844i −0.337632 + 0.128040i
\(625\) −2.14932 14.9488i −0.0859727 0.597953i
\(626\) −5.64333 + 2.22931i −0.225553 + 0.0891010i
\(627\) 20.0999 + 2.88993i 0.802713 + 0.115413i
\(628\) −3.04785 16.6324i −0.121622 0.663705i
\(629\) −28.3021 + 44.0389i −1.12848 + 1.75594i
\(630\) 2.07550 3.98103i 0.0826900 0.158608i
\(631\) 3.11870 + 0.915733i 0.124153 + 0.0364547i 0.343219 0.939255i \(-0.388483\pi\)
−0.219066 + 0.975710i \(0.570301\pi\)
\(632\) −12.7798 + 7.96703i −0.508352 + 0.316911i
\(633\) −8.26218 9.53507i −0.328392 0.378985i
\(634\) −0.403638 0.141775i −0.0160305 0.00563059i
\(635\) −5.47123 2.49863i −0.217119 0.0991551i
\(636\) −15.1728 12.1587i −0.601640 0.482122i
\(637\) 4.80903 + 16.3781i 0.190541 + 0.648923i
\(638\) −32.8723 6.49195i −1.30143 0.257019i
\(639\) −1.24131 2.71809i −0.0491054 0.107526i
\(640\) 2.07612 9.17775i 0.0820659 0.362782i
\(641\) 3.34401 2.14907i 0.132081 0.0848831i −0.472932 0.881099i \(-0.656804\pi\)
0.605013 + 0.796216i \(0.293168\pi\)
\(642\) −9.06142 8.71965i −0.357626 0.344137i
\(643\) 10.5695i 0.416821i −0.978041 0.208410i \(-0.933171\pi\)
0.978041 0.208410i \(-0.0668290\pi\)
\(644\) −36.1579 5.74466i −1.42482 0.226371i
\(645\) 1.36980i 0.0539357i
\(646\) −43.6251 + 45.3350i −1.71641 + 1.78368i
\(647\) −12.0761 + 7.76084i −0.474760 + 0.305110i −0.756051 0.654513i \(-0.772874\pi\)
0.281291 + 0.959623i \(0.409237\pi\)
\(648\) 2.82816 + 0.0388720i 0.111101 + 0.00152704i
\(649\) −9.95725 21.8033i −0.390856 0.855856i
\(650\) 2.66200 13.4792i 0.104412 0.528697i
\(651\) −7.01043 23.8753i −0.274760 0.935747i
\(652\) −24.3700 + 30.4113i −0.954401 + 1.19100i
\(653\) −17.3101 7.90526i −0.677397 0.309357i 0.0468455 0.998902i \(-0.485083\pi\)
−0.724243 + 0.689545i \(0.757810\pi\)
\(654\) 8.13269 23.1541i 0.318013 0.905398i
\(655\) 9.40283 + 10.8514i 0.367399 + 0.424001i
\(656\) 10.9267 + 19.7528i 0.426615 + 0.771219i
\(657\) −11.3931 3.34531i −0.444487 0.130513i
\(658\) 31.9371 + 16.6504i 1.24504 + 0.649099i
\(659\) 2.64373 4.11372i 0.102985 0.160248i −0.785937 0.618307i \(-0.787819\pi\)
0.888922 + 0.458059i \(0.151455\pi\)
\(660\) 1.01656 + 5.54746i 0.0395696 + 0.215935i
\(661\) 29.4921 + 4.24033i 1.14711 + 0.164930i 0.689543 0.724245i \(-0.257812\pi\)
0.457568 + 0.889175i \(0.348721\pi\)
\(662\) −14.2475 36.0665i −0.553745 1.40177i
\(663\) 2.38386 + 16.5801i 0.0925814 + 0.643918i
\(664\) 13.4441 5.91778i 0.521732 0.229654i
\(665\) −12.4511 + 14.3693i −0.482833 + 0.557219i
\(666\) −9.95304 0.519833i −0.385672 0.0201431i
\(667\) 19.5922 27.1900i 0.758614 1.05280i
\(668\) −24.6716 2.58418i −0.954574 0.0999848i
\(669\) 1.03974 + 0.900938i 0.0401986 + 0.0348323i
\(670\) 0.518789 + 0.908152i 0.0200426 + 0.0350850i
\(671\) 1.85825 + 12.9244i 0.0717368 + 0.498941i
\(672\) −3.59967 21.2901i −0.138860 0.821282i
\(673\) 2.14696 14.9324i 0.0827592 0.575603i −0.905677 0.423968i \(-0.860637\pi\)
0.988436 0.151635i \(-0.0484540\pi\)
\(674\) 4.59891 + 19.3433i 0.177143 + 0.745077i
\(675\) −2.32923 + 3.62435i −0.0896520 + 0.139501i
\(676\) −8.04009 + 13.6358i −0.309234 + 0.524453i
\(677\) 4.21888 14.3682i 0.162145 0.552214i −0.837836 0.545923i \(-0.816179\pi\)
0.999980 0.00629112i \(-0.00200254\pi\)
\(678\) −1.86179 2.38991i −0.0715017 0.0917840i
\(679\) −43.1242 49.7680i −1.65495 1.90992i
\(680\) −15.7936 7.47669i −0.605656 0.286718i
\(681\) 1.95386 4.27836i 0.0748721 0.163947i
\(682\) 25.3791 + 18.2482i 0.971817 + 0.698759i
\(683\) 2.40861 + 8.20297i 0.0921629 + 0.313878i 0.992653 0.120999i \(-0.0386099\pi\)
−0.900490 + 0.434877i \(0.856792\pi\)
\(684\) −11.6144 2.93055i −0.444087 0.112052i
\(685\) 0.198394 0.0906034i 0.00758024 0.00346178i
\(686\) −3.06161 + 0.278200i −0.116893 + 0.0106217i
\(687\) −7.11786 + 4.57437i −0.271563 + 0.174523i
\(688\) −3.97681 5.25221i −0.151614 0.200238i
\(689\) 21.9228 0.835192
\(690\) −5.46805 1.38562i −0.208165 0.0527496i
\(691\) 6.72962i 0.256007i −0.991774 0.128003i \(-0.959143\pi\)
0.991774 0.128003i \(-0.0408568\pi\)
\(692\) 4.41544 + 4.71657i 0.167850 + 0.179297i
\(693\) 6.99681 + 10.8872i 0.265787 + 0.413572i
\(694\) 0.816717 + 8.98801i 0.0310022 + 0.341180i
\(695\) 2.98765 + 6.54204i 0.113328 + 0.248154i
\(696\) 18.8862 + 5.82859i 0.715879 + 0.220932i
\(697\) 40.2216 11.8101i 1.52350 0.447341i
\(698\) 22.6072 + 16.2551i 0.855695 + 0.615265i
\(699\) 11.1368 + 5.08599i 0.421232 + 0.192370i
\(700\) 30.4201 + 12.5030i 1.14977 + 0.472568i
\(701\) 8.03903 6.96586i 0.303630 0.263097i −0.489697 0.871893i \(-0.662893\pi\)
0.793327 + 0.608796i \(0.208347\pi\)
\(702\) −2.51581 + 1.95987i −0.0949531 + 0.0739704i
\(703\) 40.4988 + 11.8915i 1.52744 + 0.448497i
\(704\) 20.0032 + 18.3193i 0.753901 + 0.690436i
\(705\) 4.66835 + 3.00017i 0.175820 + 0.112993i
\(706\) −6.94996 29.2320i −0.261565 1.10016i
\(707\) 59.2938 + 8.52516i 2.22997 + 0.320622i
\(708\) 4.50180 + 13.4032i 0.169188 + 0.503722i
\(709\) 10.7071 1.53944i 0.402113 0.0578151i 0.0617083 0.998094i \(-0.480345\pi\)
0.340404 + 0.940279i \(0.389436\pi\)
\(710\) −3.05179 + 1.74336i −0.114531 + 0.0654270i
\(711\) −3.48676 + 4.02393i −0.130764 + 0.150909i
\(712\) −7.76248 + 49.1810i −0.290911 + 1.84314i
\(713\) −27.1628 + 15.4803i −1.01725 + 0.579743i
\(714\) −40.0427 2.09137i −1.49856 0.0782676i
\(715\) −4.80582 4.16427i −0.179728 0.155735i
\(716\) 6.45386 + 12.8055i 0.241192 + 0.478563i
\(717\) −0.707525 + 0.101727i −0.0264230 + 0.00379905i
\(718\) 3.31943 1.31129i 0.123880 0.0489368i
\(719\) 0.202660 1.40953i 0.00755794 0.0525667i −0.985693 0.168548i \(-0.946092\pi\)
0.993251 + 0.115981i \(0.0370013\pi\)
\(720\) −0.255496 3.31698i −0.00952177 0.123617i
\(721\) −46.9214 30.1546i −1.74745 1.12301i
\(722\) 21.1559 + 11.0296i 0.787341 + 0.410479i
\(723\) −4.18126 + 14.2401i −0.155503 + 0.529594i
\(724\) 34.8198 24.3173i 1.29407 0.903747i
\(725\) −22.7529 + 19.7155i −0.845020 + 0.732214i
\(726\) −0.661477 0.232338i −0.0245497 0.00862288i
\(727\) −18.1118 + 39.6593i −0.671729 + 1.47088i 0.199446 + 0.979909i \(0.436086\pi\)
−0.871175 + 0.490972i \(0.836642\pi\)
\(728\) 18.1783 + 16.1943i 0.673734 + 0.600202i
\(729\) 0.959493 0.281733i 0.0355368 0.0104345i
\(730\) −2.70595 + 13.7017i −0.100152 + 0.507123i
\(731\) −11.1284 + 5.08215i −0.411597 + 0.187970i
\(732\) −0.295979 7.69651i −0.0109397 0.284471i
\(733\) 6.68055 + 10.3951i 0.246752 + 0.383953i 0.942432 0.334399i \(-0.108533\pi\)
−0.695680 + 0.718352i \(0.744897\pi\)
\(734\) −1.25938 1.21188i −0.0464846 0.0447314i
\(735\) −6.29558 −0.232216
\(736\) −24.9889 + 10.5620i −0.921102 + 0.389321i
\(737\) −3.01489 −0.111055
\(738\) 5.75081 + 5.53390i 0.211690 + 0.203706i
\(739\) 26.1367 + 40.6695i 0.961455 + 1.49605i 0.865648 + 0.500654i \(0.166907\pi\)
0.0958075 + 0.995400i \(0.469457\pi\)
\(740\) 0.450481 + 11.7141i 0.0165600 + 0.430619i
\(741\) 12.2854 5.61053i 0.451314 0.206108i
\(742\) −10.1676 + 51.4839i −0.373263 + 1.89003i
\(743\) −14.3370 + 4.20973i −0.525974 + 0.154440i −0.533930 0.845528i \(-0.679286\pi\)
0.00795634 + 0.999968i \(0.497467\pi\)
\(744\) −13.7678 12.2651i −0.504751 0.449662i
\(745\) 1.84817 4.04693i 0.0677117 0.148268i
\(746\) 3.12387 + 1.09723i 0.114373 + 0.0401725i
\(747\) 3.92484 3.40089i 0.143602 0.124432i
\(748\) 41.2965 28.8406i 1.50995 1.05452i
\(749\) −9.56242 + 32.5666i −0.349403 + 1.18996i
\(750\) 9.70827 + 5.06139i 0.354496 + 0.184816i
\(751\) −10.9686 7.04907i −0.400249 0.257224i 0.324996 0.945715i \(-0.394637\pi\)
−0.725245 + 0.688491i \(0.758273\pi\)
\(752\) 26.6099 2.04967i 0.970365 0.0747438i
\(753\) −1.03735 + 7.21490i −0.0378030 + 0.262926i
\(754\) −20.7269 + 8.18783i −0.754830 + 0.298183i
\(755\) 4.14839 0.596448i 0.150975 0.0217070i
\(756\) −3.43579 6.81714i −0.124958 0.247937i
\(757\) −25.0027 21.6650i −0.908738 0.787426i 0.0689212 0.997622i \(-0.478044\pi\)
−0.977659 + 0.210196i \(0.932590\pi\)
\(758\) −12.3129 0.643084i −0.447224 0.0233579i
\(759\) 11.2867 11.7052i 0.409681 0.424873i
\(760\) −2.19655 + 13.9168i −0.0796772 + 0.504814i
\(761\) −10.6057 + 12.2397i −0.384457 + 0.443687i −0.914685 0.404168i \(-0.867561\pi\)
0.530228 + 0.847855i \(0.322106\pi\)
\(762\) −8.88055 + 5.07309i −0.321708 + 0.183778i
\(763\) −65.5623 + 9.42643i −2.37351 + 0.341260i
\(764\) −11.6798 34.7743i −0.422561 1.25809i
\(765\) −6.11508 0.879215i −0.221091 0.0317881i
\(766\) 12.3528 + 51.9566i 0.446324 + 1.87727i
\(767\) −13.4112 8.61888i −0.484252 0.311210i
\(768\) −10.6095 11.9765i −0.382839 0.432166i
\(769\) −10.9513 3.21560i −0.394914 0.115957i 0.0782450 0.996934i \(-0.475068\pi\)
−0.473159 + 0.880977i \(0.656887\pi\)
\(770\) 12.0083 9.35475i 0.432751 0.337122i
\(771\) −19.1723 + 16.6129i −0.690472 + 0.598298i
\(772\) −29.5328 12.1383i −1.06291 0.436866i
\(773\) −7.85729 3.58830i −0.282607 0.129062i 0.269069 0.963121i \(-0.413284\pi\)