Properties

Label 190.2.i.a.49.4
Level $190$
Weight $2$
Character 190.49
Analytic conductor $1.517$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 190 = 2 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 190.i (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.51715763840\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(10\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
Defining polynomial: \(x^{20} - 20 x^{18} + 270 x^{16} - 1928 x^{14} + 9835 x^{12} - 29980 x^{10} + 66046 x^{8} - 89920 x^{6} + 85425 x^{4} - 34500 x^{2} + 10000\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 49.4
Root \(-1.15118 - 0.664633i\) of defining polynomial
Character \(\chi\) \(=\) 190.49
Dual form 190.2.i.a.159.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.15118 + 0.664633i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.866610 - 2.06131i) q^{5} +(-0.664633 - 1.15118i) q^{6} -2.32927i q^{7} -1.00000i q^{8} +(-0.616527 - 1.06786i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.15118 + 0.664633i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.866610 - 2.06131i) q^{5} +(-0.664633 - 1.15118i) q^{6} -2.32927i q^{7} -1.00000i q^{8} +(-0.616527 - 1.06786i) q^{9} +(-0.280148 + 2.21845i) q^{10} +6.39380 q^{11} +1.32927i q^{12} +(-0.743604 + 0.429320i) q^{13} +(-1.16463 + 2.01720i) q^{14} +(0.372391 - 2.94891i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(4.06176 + 2.34506i) q^{17} +1.23305i q^{18} +(-3.75178 + 2.21903i) q^{19} +(1.35184 - 1.78116i) q^{20} +(1.54811 - 2.68140i) q^{21} +(-5.53719 - 3.19690i) q^{22} +(3.00565 - 1.73531i) q^{23} +(0.664633 - 1.15118i) q^{24} +(-3.49798 + 3.57270i) q^{25} +0.858640 q^{26} -5.62685i q^{27} +(2.01720 - 1.16463i) q^{28} +(-2.21048 - 3.82866i) q^{29} +(-1.79695 + 2.36763i) q^{30} -8.25244 q^{31} +(0.866025 - 0.500000i) q^{32} +(7.36040 + 4.24953i) q^{33} +(-2.34506 - 4.06176i) q^{34} +(-4.80133 + 2.01856i) q^{35} +(0.616527 - 1.06786i) q^{36} +9.76821i q^{37} +(4.35866 - 0.0458469i) q^{38} -1.14136 q^{39} +(-2.06131 + 0.866610i) q^{40} +(-1.84506 + 3.19574i) q^{41} +(-2.68140 + 1.54811i) q^{42} +(6.17012 + 3.56232i) q^{43} +(3.19690 + 5.53719i) q^{44} +(-1.66689 + 2.19627i) q^{45} -3.47063 q^{46} +(-6.22992 + 3.59684i) q^{47} +(-1.15118 + 0.664633i) q^{48} +1.57452 q^{49} +(4.81568 - 1.34506i) q^{50} +(3.11721 + 5.39916i) q^{51} +(-0.743604 - 0.429320i) q^{52} +(5.37446 - 3.10295i) q^{53} +(-2.81343 + 4.87300i) q^{54} +(-5.54093 - 13.1796i) q^{55} -2.32927 q^{56} +(-5.79381 + 0.0609427i) q^{57} +4.42096i q^{58} +(-3.09395 + 5.35888i) q^{59} +(2.74002 - 1.15195i) q^{60} +(4.01037 + 6.94616i) q^{61} +(7.14682 + 4.12622i) q^{62} +(-2.48732 + 1.43605i) q^{63} -1.00000 q^{64} +(1.52937 + 1.16074i) q^{65} +(-4.24953 - 7.36040i) q^{66} +(-4.24798 + 2.45257i) q^{67} +4.69012i q^{68} +4.61338 q^{69} +(5.16736 + 0.652538i) q^{70} +(-1.10005 + 1.90535i) q^{71} +(-1.06786 + 0.616527i) q^{72} +(-4.03323 - 2.32859i) q^{73} +(4.88411 - 8.45952i) q^{74} +(-6.40132 + 1.78794i) q^{75} +(-3.79763 - 2.13962i) q^{76} -14.8928i q^{77} +(0.988447 + 0.570680i) q^{78} +(5.79153 - 10.0312i) q^{79} +(2.21845 + 0.280148i) q^{80} +(1.89021 - 3.27394i) q^{81} +(3.19574 - 1.84506i) q^{82} -6.07809i q^{83} +3.09621 q^{84} +(1.31393 - 10.4048i) q^{85} +(-3.56232 - 6.17012i) q^{86} -5.87663i q^{87} -6.39380i q^{88} +(5.64947 + 9.78517i) q^{89} +(2.54170 - 1.06858i) q^{90} +(1.00000 + 1.73205i) q^{91} +(3.00565 + 1.73531i) q^{92} +(-9.50002 - 5.48484i) q^{93} +7.19369 q^{94} +(7.82544 + 5.81055i) q^{95} +1.32927 q^{96} +(9.82939 + 5.67500i) q^{97} +(-1.36358 - 0.787262i) q^{98} +(-3.94195 - 6.82766i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q + 10q^{4} - 2q^{5} + 10q^{9} + O(q^{10}) \) \( 20q + 10q^{4} - 2q^{5} + 10q^{9} - 12q^{11} - 10q^{14} - 2q^{15} - 10q^{16} - 22q^{19} - 4q^{20} + 40q^{21} - 6q^{25} + 8q^{26} - 4q^{29} + 12q^{30} - 16q^{31} - 8q^{34} - 2q^{35} - 10q^{36} - 32q^{39} + 2q^{41} - 6q^{44} - 56q^{45} - 52q^{46} + 40q^{49} + 40q^{50} + 8q^{51} + 36q^{54} + 18q^{55} - 20q^{56} - 44q^{59} + 2q^{60} - 4q^{61} - 20q^{64} + 48q^{65} + 4q^{66} + 48q^{69} - 8q^{70} - 44q^{71} + 10q^{74} - 56q^{75} + 4q^{76} - 4q^{79} - 2q^{80} - 10q^{81} + 80q^{84} + 12q^{85} + 2q^{89} + 42q^{90} + 20q^{91} - 40q^{94} - 4q^{95} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 1.15118 + 0.664633i 0.664633 + 0.383726i 0.794040 0.607866i \(-0.207974\pi\)
−0.129407 + 0.991592i \(0.541307\pi\)
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −0.866610 2.06131i −0.387560 0.921845i
\(6\) −0.664633 1.15118i −0.271335 0.469966i
\(7\) 2.32927i 0.880379i −0.897905 0.440190i \(-0.854911\pi\)
0.897905 0.440190i \(-0.145089\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −0.616527 1.06786i −0.205509 0.355952i
\(10\) −0.280148 + 2.21845i −0.0885905 + 0.701535i
\(11\) 6.39380 1.92780 0.963901 0.266260i \(-0.0857880\pi\)
0.963901 + 0.266260i \(0.0857880\pi\)
\(12\) 1.32927i 0.383726i
\(13\) −0.743604 + 0.429320i −0.206239 + 0.119072i −0.599562 0.800328i \(-0.704659\pi\)
0.393324 + 0.919400i \(0.371325\pi\)
\(14\) −1.16463 + 2.01720i −0.311261 + 0.539120i
\(15\) 0.372391 2.94891i 0.0961508 0.761405i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 4.06176 + 2.34506i 0.985122 + 0.568760i 0.903813 0.427929i \(-0.140757\pi\)
0.0813093 + 0.996689i \(0.474090\pi\)
\(18\) 1.23305i 0.290634i
\(19\) −3.75178 + 2.21903i −0.860718 + 0.509081i
\(20\) 1.35184 1.78116i 0.302281 0.398279i
\(21\) 1.54811 2.68140i 0.337824 0.585129i
\(22\) −5.53719 3.19690i −1.18053 0.681581i
\(23\) 3.00565 1.73531i 0.626721 0.361838i −0.152760 0.988263i \(-0.548816\pi\)
0.779481 + 0.626426i \(0.215483\pi\)
\(24\) 0.664633 1.15118i 0.135668 0.234983i
\(25\) −3.49798 + 3.57270i −0.699595 + 0.714540i
\(26\) 0.858640 0.168393
\(27\) 5.62685i 1.08289i
\(28\) 2.01720 1.16463i 0.381216 0.220095i
\(29\) −2.21048 3.82866i −0.410476 0.710965i 0.584466 0.811418i \(-0.301304\pi\)
−0.994942 + 0.100453i \(0.967971\pi\)
\(30\) −1.79695 + 2.36763i −0.328077 + 0.432269i
\(31\) −8.25244 −1.48218 −0.741091 0.671405i \(-0.765691\pi\)
−0.741091 + 0.671405i \(0.765691\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 7.36040 + 4.24953i 1.28128 + 0.739748i
\(34\) −2.34506 4.06176i −0.402174 0.696586i
\(35\) −4.80133 + 2.01856i −0.811573 + 0.341200i
\(36\) 0.616527 1.06786i 0.102754 0.177976i
\(37\) 9.76821i 1.60588i 0.596057 + 0.802942i \(0.296733\pi\)
−0.596057 + 0.802942i \(0.703267\pi\)
\(38\) 4.35866 0.0458469i 0.707068 0.00743735i
\(39\) −1.14136 −0.182764
\(40\) −2.06131 + 0.866610i −0.325921 + 0.137023i
\(41\) −1.84506 + 3.19574i −0.288150 + 0.499090i −0.973368 0.229248i \(-0.926373\pi\)
0.685218 + 0.728338i \(0.259707\pi\)
\(42\) −2.68140 + 1.54811i −0.413749 + 0.238878i
\(43\) 6.17012 + 3.56232i 0.940934 + 0.543249i 0.890253 0.455466i \(-0.150527\pi\)
0.0506811 + 0.998715i \(0.483861\pi\)
\(44\) 3.19690 + 5.53719i 0.481951 + 0.834763i
\(45\) −1.66689 + 2.19627i −0.248485 + 0.327400i
\(46\) −3.47063 −0.511716
\(47\) −6.22992 + 3.59684i −0.908727 + 0.524654i −0.880021 0.474934i \(-0.842472\pi\)
−0.0287055 + 0.999588i \(0.509138\pi\)
\(48\) −1.15118 + 0.664633i −0.166158 + 0.0959315i
\(49\) 1.57452 0.224932
\(50\) 4.81568 1.34506i 0.681041 0.190220i
\(51\) 3.11721 + 5.39916i 0.436496 + 0.756033i
\(52\) −0.743604 0.429320i −0.103119 0.0595360i
\(53\) 5.37446 3.10295i 0.738239 0.426222i −0.0831897 0.996534i \(-0.526511\pi\)
0.821429 + 0.570311i \(0.193177\pi\)
\(54\) −2.81343 + 4.87300i −0.382859 + 0.663131i
\(55\) −5.54093 13.1796i −0.747138 1.77713i
\(56\) −2.32927 −0.311261
\(57\) −5.79381 + 0.0609427i −0.767409 + 0.00807206i
\(58\) 4.42096i 0.580500i
\(59\) −3.09395 + 5.35888i −0.402798 + 0.697667i −0.994062 0.108811i \(-0.965296\pi\)
0.591264 + 0.806478i \(0.298629\pi\)
\(60\) 2.74002 1.15195i 0.353736 0.148717i
\(61\) 4.01037 + 6.94616i 0.513475 + 0.889365i 0.999878 + 0.0156304i \(0.00497553\pi\)
−0.486403 + 0.873735i \(0.661691\pi\)
\(62\) 7.14682 + 4.12622i 0.907647 + 0.524030i
\(63\) −2.48732 + 1.43605i −0.313373 + 0.180926i
\(64\) −1.00000 −0.125000
\(65\) 1.52937 + 1.16074i 0.189696 + 0.143973i
\(66\) −4.24953 7.36040i −0.523081 0.906002i
\(67\) −4.24798 + 2.45257i −0.518973 + 0.299629i −0.736515 0.676422i \(-0.763530\pi\)
0.217541 + 0.976051i \(0.430196\pi\)
\(68\) 4.69012i 0.568760i
\(69\) 4.61338 0.555386
\(70\) 5.16736 + 0.652538i 0.617617 + 0.0779932i
\(71\) −1.10005 + 1.90535i −0.130552 + 0.226124i −0.923890 0.382659i \(-0.875008\pi\)
0.793337 + 0.608782i \(0.208342\pi\)
\(72\) −1.06786 + 0.616527i −0.125848 + 0.0726584i
\(73\) −4.03323 2.32859i −0.472054 0.272540i 0.245045 0.969512i \(-0.421197\pi\)
−0.717099 + 0.696971i \(0.754531\pi\)
\(74\) 4.88411 8.45952i 0.567766 0.983399i
\(75\) −6.40132 + 1.78794i −0.739161 + 0.206454i
\(76\) −3.79763 2.13962i −0.435618 0.245432i
\(77\) 14.8928i 1.69720i
\(78\) 0.988447 + 0.570680i 0.111920 + 0.0646168i
\(79\) 5.79153 10.0312i 0.651598 1.12860i −0.331137 0.943583i \(-0.607432\pi\)
0.982735 0.185018i \(-0.0592344\pi\)
\(80\) 2.21845 + 0.280148i 0.248030 + 0.0313215i
\(81\) 1.89021 3.27394i 0.210023 0.363771i
\(82\) 3.19574 1.84506i 0.352910 0.203753i
\(83\) 6.07809i 0.667157i −0.942722 0.333579i \(-0.891744\pi\)
0.942722 0.333579i \(-0.108256\pi\)
\(84\) 3.09621 0.337824
\(85\) 1.31393 10.4048i 0.142515 1.12856i
\(86\) −3.56232 6.17012i −0.384135 0.665341i
\(87\) 5.87663i 0.630041i
\(88\) 6.39380i 0.681581i
\(89\) 5.64947 + 9.78517i 0.598843 + 1.03723i 0.992992 + 0.118180i \(0.0377059\pi\)
−0.394149 + 0.919046i \(0.628961\pi\)
\(90\) 2.54170 1.06858i 0.267919 0.112638i
\(91\) 1.00000 + 1.73205i 0.104828 + 0.181568i
\(92\) 3.00565 + 1.73531i 0.313361 + 0.180919i
\(93\) −9.50002 5.48484i −0.985106 0.568751i
\(94\) 7.19369 0.741972
\(95\) 7.82544 + 5.81055i 0.802874 + 0.596149i
\(96\) 1.32927 0.135668
\(97\) 9.82939 + 5.67500i 0.998024 + 0.576209i 0.907663 0.419700i \(-0.137865\pi\)
0.0903607 + 0.995909i \(0.471198\pi\)
\(98\) −1.36358 0.787262i −0.137742 0.0795254i
\(99\) −3.94195 6.82766i −0.396181 0.686205i
\(100\) −4.84303 1.24299i −0.484303 0.124299i
\(101\) −1.11042 1.92331i −0.110491 0.191377i 0.805477 0.592627i \(-0.201909\pi\)
−0.915968 + 0.401250i \(0.868576\pi\)
\(102\) 6.23441i 0.617299i
\(103\) 3.26464i 0.321675i 0.986981 + 0.160837i \(0.0514195\pi\)
−0.986981 + 0.160837i \(0.948581\pi\)
\(104\) 0.429320 + 0.743604i 0.0420983 + 0.0729164i
\(105\) −6.86879 0.867396i −0.670325 0.0846492i
\(106\) −6.20589 −0.602770
\(107\) 10.0000i 0.966736i −0.875417 0.483368i \(-0.839413\pi\)
0.875417 0.483368i \(-0.160587\pi\)
\(108\) 4.87300 2.81343i 0.468904 0.270722i
\(109\) −1.51717 + 2.62782i −0.145319 + 0.251699i −0.929492 0.368843i \(-0.879754\pi\)
0.784173 + 0.620542i \(0.213087\pi\)
\(110\) −1.79121 + 14.1843i −0.170785 + 1.35242i
\(111\) −6.49227 + 11.2449i −0.616219 + 1.06732i
\(112\) 2.01720 + 1.16463i 0.190608 + 0.110047i
\(113\) 4.97420i 0.467933i 0.972245 + 0.233966i \(0.0751706\pi\)
−0.972245 + 0.233966i \(0.924829\pi\)
\(114\) 5.04806 + 2.84413i 0.472794 + 0.266377i
\(115\) −6.18174 4.69173i −0.576450 0.437506i
\(116\) 2.21048 3.82866i 0.205238 0.355482i
\(117\) 0.916904 + 0.529375i 0.0847678 + 0.0489407i
\(118\) 5.35888 3.09395i 0.493325 0.284821i
\(119\) 5.46226 9.46092i 0.500725 0.867281i
\(120\) −2.94891 0.372391i −0.269197 0.0339945i
\(121\) 29.8806 2.71642
\(122\) 8.02074i 0.726164i
\(123\) −4.24798 + 2.45257i −0.383028 + 0.221141i
\(124\) −4.12622 7.14682i −0.370545 0.641803i
\(125\) 10.3958 + 4.11427i 0.929829 + 0.367991i
\(126\) 2.87211 0.255868
\(127\) −12.3833 + 7.14949i −1.09884 + 0.634415i −0.935916 0.352224i \(-0.885426\pi\)
−0.162923 + 0.986639i \(0.552092\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 4.73527 + 8.20172i 0.416917 + 0.722121i
\(130\) −0.744106 1.76992i −0.0652624 0.155232i
\(131\) −1.18947 + 2.06022i −0.103924 + 0.180002i −0.913298 0.407292i \(-0.866473\pi\)
0.809374 + 0.587294i \(0.199807\pi\)
\(132\) 8.49905i 0.739748i
\(133\) 5.16872 + 8.73890i 0.448185 + 0.757759i
\(134\) 4.90515 0.423740
\(135\) −11.5987 + 4.87628i −0.998255 + 0.419684i
\(136\) 2.34506 4.06176i 0.201087 0.348293i
\(137\) −7.87364 + 4.54585i −0.672690 + 0.388378i −0.797095 0.603854i \(-0.793631\pi\)
0.124405 + 0.992232i \(0.460298\pi\)
\(138\) −3.99531 2.30669i −0.340103 0.196359i
\(139\) −10.5329 18.2435i −0.893389 1.54739i −0.835786 0.549055i \(-0.814988\pi\)
−0.0576028 0.998340i \(-0.518346\pi\)
\(140\) −4.14879 3.14879i −0.350637 0.266122i
\(141\) −9.56232 −0.805293
\(142\) 1.90535 1.10005i 0.159893 0.0923145i
\(143\) −4.75445 + 2.74498i −0.397587 + 0.229547i
\(144\) 1.23305 0.102754
\(145\) −5.97643 + 7.87443i −0.496315 + 0.653936i
\(146\) 2.32859 + 4.03323i 0.192715 + 0.333793i
\(147\) 1.81256 + 1.04648i 0.149497 + 0.0863122i
\(148\) −8.45952 + 4.88411i −0.695368 + 0.401471i
\(149\) −3.17889 + 5.50600i −0.260425 + 0.451069i −0.966355 0.257212i \(-0.917196\pi\)
0.705930 + 0.708282i \(0.250529\pi\)
\(150\) 6.43768 + 1.65226i 0.525634 + 0.134906i
\(151\) −3.05559 −0.248660 −0.124330 0.992241i \(-0.539678\pi\)
−0.124330 + 0.992241i \(0.539678\pi\)
\(152\) 2.21903 + 3.75178i 0.179987 + 0.304310i
\(153\) 5.78317i 0.467541i
\(154\) −7.44642 + 12.8976i −0.600050 + 1.03932i
\(155\) 7.15164 + 17.0108i 0.574434 + 1.36634i
\(156\) −0.570680 0.988447i −0.0456910 0.0791391i
\(157\) 7.05180 + 4.07136i 0.562795 + 0.324930i 0.754267 0.656568i \(-0.227993\pi\)
−0.191472 + 0.981498i \(0.561326\pi\)
\(158\) −10.0312 + 5.79153i −0.798041 + 0.460749i
\(159\) 8.24928 0.654210
\(160\) −1.78116 1.35184i −0.140813 0.106872i
\(161\) −4.04200 7.00096i −0.318554 0.551753i
\(162\) −3.27394 + 1.89021i −0.257225 + 0.148509i
\(163\) 13.4100i 1.05035i −0.850993 0.525177i \(-0.823999\pi\)
0.850993 0.525177i \(-0.176001\pi\)
\(164\) −3.69012 −0.288150
\(165\) 2.38099 18.8547i 0.185360 1.46784i
\(166\) −3.03905 + 5.26378i −0.235876 + 0.408549i
\(167\) 11.2450 6.49232i 0.870166 0.502391i 0.00276265 0.999996i \(-0.499121\pi\)
0.867403 + 0.497606i \(0.165787\pi\)
\(168\) −2.68140 1.54811i −0.206874 0.119439i
\(169\) −6.13137 + 10.6198i −0.471644 + 0.816911i
\(170\) −6.34029 + 8.35385i −0.486278 + 0.640711i
\(171\) 4.68269 + 2.63827i 0.358094 + 0.201754i
\(172\) 7.12464i 0.543249i
\(173\) −1.83216 1.05780i −0.139296 0.0804228i 0.428732 0.903432i \(-0.358960\pi\)
−0.568029 + 0.823009i \(0.692294\pi\)
\(174\) −2.93831 + 5.08931i −0.222753 + 0.385819i
\(175\) 8.32176 + 8.14771i 0.629066 + 0.615909i
\(176\) −3.19690 + 5.53719i −0.240975 + 0.417381i
\(177\) −7.12338 + 4.11268i −0.535426 + 0.309128i
\(178\) 11.2989i 0.846892i
\(179\) 9.87938 0.738420 0.369210 0.929346i \(-0.379628\pi\)
0.369210 + 0.929346i \(0.379628\pi\)
\(180\) −2.73547 0.345437i −0.203890 0.0257474i
\(181\) −7.53974 13.0592i −0.560425 0.970684i −0.997459 0.0712395i \(-0.977305\pi\)
0.437034 0.899445i \(-0.356029\pi\)
\(182\) 2.00000i 0.148250i
\(183\) 10.6617i 0.788135i
\(184\) −1.73531 3.00565i −0.127929 0.221579i
\(185\) 20.1353 8.46523i 1.48038 0.622376i
\(186\) 5.48484 + 9.50002i 0.402168 + 0.696575i
\(187\) 25.9701 + 14.9938i 1.89912 + 1.09646i
\(188\) −6.22992 3.59684i −0.454363 0.262327i
\(189\) −13.1064 −0.953352
\(190\) −3.87176 8.94480i −0.280887 0.648924i
\(191\) 8.84192 0.639779 0.319889 0.947455i \(-0.396354\pi\)
0.319889 + 0.947455i \(0.396354\pi\)
\(192\) −1.15118 0.664633i −0.0830791 0.0479657i
\(193\) −16.1885 9.34642i −1.16527 0.672770i −0.212710 0.977115i \(-0.568229\pi\)
−0.952562 + 0.304346i \(0.901562\pi\)
\(194\) −5.67500 9.82939i −0.407441 0.705709i
\(195\) 0.989114 + 2.35269i 0.0708319 + 0.168480i
\(196\) 0.787262 + 1.36358i 0.0562330 + 0.0973984i
\(197\) 16.3169i 1.16253i −0.813713 0.581267i \(-0.802557\pi\)
0.813713 0.581267i \(-0.197443\pi\)
\(198\) 7.88390i 0.560284i
\(199\) −1.57452 2.72715i −0.111615 0.193323i 0.804807 0.593537i \(-0.202269\pi\)
−0.916422 + 0.400214i \(0.868936\pi\)
\(200\) 3.57270 + 3.49798i 0.252628 + 0.247344i
\(201\) −6.52024 −0.459902
\(202\) 2.22085i 0.156258i
\(203\) −8.91797 + 5.14879i −0.625919 + 0.361374i
\(204\) −3.11721 + 5.39916i −0.218248 + 0.378017i
\(205\) 8.18634 + 1.03378i 0.571759 + 0.0722022i
\(206\) 1.63232 2.82726i 0.113729 0.196985i
\(207\) −3.70613 2.13973i −0.257594 0.148722i
\(208\) 0.858640i 0.0595360i
\(209\) −23.9882 + 14.1881i −1.65930 + 0.981408i
\(210\) 5.51485 + 4.18558i 0.380561 + 0.288833i
\(211\) 3.95415 6.84879i 0.272215 0.471490i −0.697214 0.716863i \(-0.745577\pi\)
0.969429 + 0.245373i \(0.0789104\pi\)
\(212\) 5.37446 + 3.10295i 0.369119 + 0.213111i
\(213\) −2.53272 + 1.46226i −0.173539 + 0.100193i
\(214\) −5.00000 + 8.66025i −0.341793 + 0.592003i
\(215\) 1.99595 15.8056i 0.136123 1.07794i
\(216\) −5.62685 −0.382859
\(217\) 19.2221i 1.30488i
\(218\) 2.62782 1.51717i 0.177978 0.102756i
\(219\) −3.09531 5.36123i −0.209162 0.362279i
\(220\) 8.64339 11.3884i 0.582737 0.767804i
\(221\) −4.02712 −0.270894
\(222\) 11.2449 6.49227i 0.754711 0.435733i
\(223\) 7.21336 + 4.16463i 0.483042 + 0.278884i 0.721683 0.692223i \(-0.243369\pi\)
−0.238641 + 0.971108i \(0.576702\pi\)
\(224\) −1.16463 2.01720i −0.0778153 0.134780i
\(225\) 5.97172 + 1.53267i 0.398115 + 0.102178i
\(226\) 2.48710 4.30778i 0.165439 0.286549i
\(227\) 11.3680i 0.754523i −0.926107 0.377261i \(-0.876866\pi\)
0.926107 0.377261i \(-0.123134\pi\)
\(228\) −2.94968 4.98712i −0.195348 0.330280i
\(229\) 2.25560 0.149054 0.0745270 0.997219i \(-0.476255\pi\)
0.0745270 + 0.997219i \(0.476255\pi\)
\(230\) 3.00768 + 7.15403i 0.198320 + 0.471722i
\(231\) 9.89827 17.1443i 0.651259 1.12801i
\(232\) −3.82866 + 2.21048i −0.251364 + 0.145125i
\(233\) −13.8027 7.96900i −0.904246 0.522067i −0.0256705 0.999670i \(-0.508172\pi\)
−0.878575 + 0.477604i \(0.841505\pi\)
\(234\) −0.529375 0.916904i −0.0346063 0.0599399i
\(235\) 12.8131 + 9.72471i 0.835835 + 0.634370i
\(236\) −6.18791 −0.402798
\(237\) 13.3342 7.69848i 0.866147 0.500070i
\(238\) −9.46092 + 5.46226i −0.613260 + 0.354066i
\(239\) −6.63412 −0.429126 −0.214563 0.976710i \(-0.568833\pi\)
−0.214563 + 0.976710i \(0.568833\pi\)
\(240\) 2.36763 + 1.79695i 0.152830 + 0.115993i
\(241\) 11.0397 + 19.1213i 0.711130 + 1.23171i 0.964433 + 0.264326i \(0.0851494\pi\)
−0.253304 + 0.967387i \(0.581517\pi\)
\(242\) −25.8774 14.9403i −1.66346 0.960400i
\(243\) −10.2671 + 5.92769i −0.658632 + 0.380261i
\(244\) −4.01037 + 6.94616i −0.256738 + 0.444683i
\(245\) −1.36450 3.24558i −0.0871745 0.207352i
\(246\) 4.90515 0.312741
\(247\) 1.83717 3.26080i 0.116896 0.207480i
\(248\) 8.25244i 0.524030i
\(249\) 4.03970 6.99696i 0.256006 0.443415i
\(250\) −6.94590 8.76096i −0.439297 0.554092i
\(251\) −4.72558 8.18494i −0.298276 0.516629i 0.677466 0.735554i \(-0.263078\pi\)
−0.975742 + 0.218926i \(0.929745\pi\)
\(252\) −2.48732 1.43605i −0.156686 0.0904630i
\(253\) 19.2175 11.0952i 1.20819 0.697552i
\(254\) 14.2990 0.897198
\(255\) 8.42792 11.1045i 0.527777 0.695390i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −23.1999 + 13.3945i −1.44717 + 0.835524i −0.998312 0.0580783i \(-0.981503\pi\)
−0.448859 + 0.893603i \(0.648169\pi\)
\(258\) 9.47053i 0.589610i
\(259\) 22.7528 1.41379
\(260\) −0.240546 + 1.90485i −0.0149180 + 0.118134i
\(261\) −2.72564 + 4.72095i −0.168713 + 0.292219i
\(262\) 2.06022 1.18947i 0.127281 0.0734854i
\(263\) 12.4598 + 7.19364i 0.768301 + 0.443579i 0.832268 0.554373i \(-0.187042\pi\)
−0.0639670 + 0.997952i \(0.520375\pi\)
\(264\) 4.24953 7.36040i 0.261540 0.453001i
\(265\) −11.0537 8.38937i −0.679022 0.515355i
\(266\) −0.106790 10.1525i −0.00654769 0.622488i
\(267\) 15.0193i 0.919166i
\(268\) −4.24798 2.45257i −0.259487 0.149815i
\(269\) 6.44486 11.1628i 0.392950 0.680609i −0.599887 0.800085i \(-0.704788\pi\)
0.992837 + 0.119475i \(0.0381212\pi\)
\(270\) 12.4829 + 1.57635i 0.759684 + 0.0959336i
\(271\) −10.0907 + 17.4776i −0.612966 + 1.06169i 0.377772 + 0.925899i \(0.376690\pi\)
−0.990738 + 0.135790i \(0.956643\pi\)
\(272\) −4.06176 + 2.34506i −0.246280 + 0.142190i
\(273\) 2.65853i 0.160902i
\(274\) 9.09169 0.549249
\(275\) −22.3653 + 22.8431i −1.34868 + 1.37749i
\(276\) 2.30669 + 3.99531i 0.138846 + 0.240489i
\(277\) 7.40098i 0.444682i 0.974969 + 0.222341i \(0.0713698\pi\)
−0.974969 + 0.222341i \(0.928630\pi\)
\(278\) 21.0658i 1.26344i
\(279\) 5.08785 + 8.81242i 0.304602 + 0.527586i
\(280\) 2.01856 + 4.80133i 0.120632 + 0.286934i
\(281\) −1.36083 2.35703i −0.0811805 0.140609i 0.822577 0.568654i \(-0.192536\pi\)
−0.903757 + 0.428045i \(0.859202\pi\)
\(282\) 8.28121 + 4.78116i 0.493139 + 0.284714i
\(283\) −17.7918 10.2721i −1.05761 0.610613i −0.132842 0.991137i \(-0.542410\pi\)
−0.924771 + 0.380524i \(0.875744\pi\)
\(284\) −2.20011 −0.130552
\(285\) 5.14660 + 11.8900i 0.304858 + 0.704304i
\(286\) 5.48997 0.324629
\(287\) 7.44372 + 4.29763i 0.439389 + 0.253681i
\(288\) −1.06786 0.616527i −0.0629240 0.0363292i
\(289\) 2.49860 + 4.32771i 0.146977 + 0.254571i
\(290\) 9.11296 3.83125i 0.535131 0.224978i
\(291\) 7.54358 + 13.0659i 0.442213 + 0.765935i
\(292\) 4.65717i 0.272540i
\(293\) 26.7315i 1.56167i −0.624736 0.780836i \(-0.714794\pi\)
0.624736 0.780836i \(-0.285206\pi\)
\(294\) −1.04648 1.81256i −0.0610319 0.105710i
\(295\) 13.7276 + 1.73353i 0.799249 + 0.100930i
\(296\) 9.76821 0.567766
\(297\) 35.9769i 2.08759i
\(298\) 5.50600 3.17889i 0.318954 0.184148i
\(299\) −1.49001 + 2.58077i −0.0861694 + 0.149250i
\(300\) −4.74906 4.64974i −0.274187 0.268453i
\(301\) 8.29759 14.3718i 0.478265 0.828379i
\(302\) 2.64622 + 1.52779i 0.152273 + 0.0879147i
\(303\) 2.95210i 0.169594i
\(304\) −0.0458469 4.35866i −0.00262950 0.249986i
\(305\) 10.8428 14.2862i 0.620854 0.818026i
\(306\) −2.89158 + 5.00837i −0.165301 + 0.286310i
\(307\) 11.0509 + 6.38026i 0.630710 + 0.364141i 0.781027 0.624497i \(-0.214696\pi\)
−0.150317 + 0.988638i \(0.548029\pi\)
\(308\) 12.8976 7.44642i 0.734908 0.424299i
\(309\) −2.16979 + 3.75818i −0.123435 + 0.213795i
\(310\) 2.31190 18.3076i 0.131307 1.03980i
\(311\) −6.96646 −0.395031 −0.197516 0.980300i \(-0.563287\pi\)
−0.197516 + 0.980300i \(0.563287\pi\)
\(312\) 1.14136i 0.0646168i
\(313\) −22.6632 + 13.0846i −1.28100 + 0.739585i −0.977031 0.213097i \(-0.931645\pi\)
−0.303968 + 0.952682i \(0.598312\pi\)
\(314\) −4.07136 7.05180i −0.229760 0.397956i
\(315\) 5.11569 + 3.88263i 0.288236 + 0.218762i
\(316\) 11.5831 0.651598
\(317\) 7.58413 4.37870i 0.425967 0.245932i −0.271660 0.962393i \(-0.587573\pi\)
0.697627 + 0.716461i \(0.254239\pi\)
\(318\) −7.14408 4.12464i −0.400620 0.231298i
\(319\) −14.1334 24.4797i −0.791316 1.37060i
\(320\) 0.866610 + 2.06131i 0.0484450 + 0.115231i
\(321\) 6.64633 11.5118i 0.370962 0.642525i
\(322\) 8.08401i 0.450504i
\(323\) −20.4426 + 0.215028i −1.13746 + 0.0119645i
\(324\) 3.78042 0.210023
\(325\) 1.06728 4.15842i 0.0592019 0.230668i
\(326\) −6.70501 + 11.6134i −0.371356 + 0.643208i
\(327\) −3.49306 + 2.01672i −0.193167 + 0.111525i
\(328\) 3.19574 + 1.84506i 0.176455 + 0.101876i
\(329\) 8.37800 + 14.5111i 0.461894 + 0.800024i
\(330\) −11.4894 + 15.1382i −0.632468 + 0.833329i
\(331\) −9.34738 −0.513779 −0.256889 0.966441i \(-0.582698\pi\)
−0.256889 + 0.966441i \(0.582698\pi\)
\(332\) 5.26378 3.03905i 0.288888 0.166789i
\(333\) 10.4310 6.02237i 0.571618 0.330024i
\(334\) −12.9846 −0.710488
\(335\) 8.73685 + 6.63097i 0.477345 + 0.362289i
\(336\) 1.54811 + 2.68140i 0.0844561 + 0.146282i
\(337\) −8.44159 4.87376i −0.459843 0.265490i 0.252135 0.967692i \(-0.418867\pi\)
−0.711978 + 0.702202i \(0.752201\pi\)
\(338\) 10.6198 6.13137i 0.577643 0.333502i
\(339\) −3.30601 + 5.72618i −0.179558 + 0.311003i
\(340\) 9.66777 4.06450i 0.524309 0.220429i
\(341\) −52.7644 −2.85735
\(342\) −2.73619 4.62615i −0.147956 0.250154i
\(343\) 19.9723i 1.07840i
\(344\) 3.56232 6.17012i 0.192067 0.332670i
\(345\) −3.99800 9.50960i −0.215245 0.511979i
\(346\) 1.05780 + 1.83216i 0.0568675 + 0.0984975i
\(347\) −12.7853 7.38162i −0.686353 0.396266i 0.115891 0.993262i \(-0.463028\pi\)
−0.802244 + 0.596996i \(0.796361\pi\)
\(348\) 5.08931 2.93831i 0.272816 0.157510i
\(349\) −14.8315 −0.793913 −0.396956 0.917837i \(-0.629934\pi\)
−0.396956 + 0.917837i \(0.629934\pi\)
\(350\) −3.13300 11.2170i −0.167466 0.599574i
\(351\) 2.41572 + 4.18415i 0.128942 + 0.223333i
\(352\) 5.53719 3.19690i 0.295133 0.170395i
\(353\) 26.8115i 1.42703i 0.700639 + 0.713516i \(0.252898\pi\)
−0.700639 + 0.713516i \(0.747102\pi\)
\(354\) 8.22537 0.437173
\(355\) 4.88083 + 0.616356i 0.259048 + 0.0327128i
\(356\) −5.64947 + 9.78517i −0.299421 + 0.518613i
\(357\) 12.5761 7.26080i 0.665596 0.384282i
\(358\) −8.55579 4.93969i −0.452188 0.261071i
\(359\) 0.197846 0.342680i 0.0104419 0.0180859i −0.860757 0.509016i \(-0.830010\pi\)
0.871199 + 0.490930i \(0.163343\pi\)
\(360\) 2.19627 + 1.66689i 0.115753 + 0.0878529i
\(361\) 9.15178 16.6507i 0.481673 0.876351i
\(362\) 15.0795i 0.792560i
\(363\) 34.3979 + 19.8597i 1.80542 + 1.04236i
\(364\) −1.00000 + 1.73205i −0.0524142 + 0.0907841i
\(365\) −1.30470 + 10.3317i −0.0682909 + 0.540786i
\(366\) 5.33085 9.23330i 0.278648 0.482632i
\(367\) −6.04879 + 3.49227i −0.315744 + 0.182295i −0.649494 0.760367i \(-0.725019\pi\)
0.333750 + 0.942662i \(0.391686\pi\)
\(368\) 3.47063i 0.180919i
\(369\) 4.55011 0.236870
\(370\) −21.6703 2.73654i −1.12658 0.142266i
\(371\) −7.22758 12.5185i −0.375237 0.649930i
\(372\) 10.9697i 0.568751i
\(373\) 2.52621i 0.130802i 0.997859 + 0.0654012i \(0.0208327\pi\)
−0.997859 + 0.0654012i \(0.979167\pi\)
\(374\) −14.9938 25.9701i −0.775313 1.34288i
\(375\) 9.23294 + 11.6456i 0.476787 + 0.601379i
\(376\) 3.59684 + 6.22992i 0.185493 + 0.321283i
\(377\) 3.28744 + 1.89801i 0.169312 + 0.0977523i
\(378\) 11.3505 + 6.55321i 0.583807 + 0.337061i
\(379\) 29.3075 1.50543 0.752713 0.658349i \(-0.228745\pi\)
0.752713 + 0.658349i \(0.228745\pi\)
\(380\) −1.11936 + 9.68231i −0.0574219 + 0.496692i
\(381\) −19.0071 −0.973765
\(382\) −7.65733 4.42096i −0.391783 0.226196i
\(383\) −5.39911 3.11717i −0.275881 0.159280i 0.355676 0.934609i \(-0.384251\pi\)
−0.631557 + 0.775329i \(0.717584\pi\)
\(384\) 0.664633 + 1.15118i 0.0339169 + 0.0587458i
\(385\) −30.6987 + 12.9063i −1.56455 + 0.657765i
\(386\) 9.34642 + 16.1885i 0.475720 + 0.823971i
\(387\) 8.78506i 0.446570i
\(388\) 11.3500i 0.576209i
\(389\) 13.2183 + 22.8947i 0.670193 + 1.16081i 0.977849 + 0.209311i \(0.0671220\pi\)
−0.307656 + 0.951498i \(0.599545\pi\)
\(390\) 0.319749 2.53205i 0.0161911 0.128215i
\(391\) 16.2776 0.823196
\(392\) 1.57452i 0.0795254i
\(393\) −2.73857 + 1.58112i −0.138143 + 0.0797567i
\(394\) −8.15847 + 14.1309i −0.411018 + 0.711903i
\(395\) −25.6964 3.24497i −1.29293 0.163272i
\(396\) 3.94195 6.82766i 0.198090 0.343103i
\(397\) −7.56171 4.36575i −0.379511 0.219111i 0.298094 0.954536i \(-0.403649\pi\)
−0.677606 + 0.735426i \(0.736982\pi\)
\(398\) 3.14905i 0.157847i
\(399\) 0.141952 + 13.4953i 0.00710648 + 0.675611i
\(400\) −1.34506 4.81568i −0.0672530 0.240784i
\(401\) 1.58356 2.74281i 0.0790794 0.136969i −0.823774 0.566919i \(-0.808135\pi\)
0.902853 + 0.429949i \(0.141469\pi\)
\(402\) 5.64669 + 3.26012i 0.281631 + 0.162600i
\(403\) 6.13654 3.54294i 0.305683 0.176486i
\(404\) 1.11042 1.92331i 0.0552457 0.0956884i
\(405\) −8.38666 1.05907i −0.416737 0.0526258i
\(406\) 10.2976 0.511061
\(407\) 62.4560i 3.09583i
\(408\) 5.39916 3.11721i 0.267298 0.154325i
\(409\) 8.54431 + 14.7992i 0.422489 + 0.731773i 0.996182 0.0872978i \(-0.0278232\pi\)
−0.573693 + 0.819070i \(0.694490\pi\)
\(410\) −6.57269 4.98845i −0.324602 0.246362i
\(411\) −12.0853 −0.596123
\(412\) −2.82726 + 1.63232i −0.139289 + 0.0804187i
\(413\) 12.4823 + 7.20664i 0.614212 + 0.354615i
\(414\) 2.13973 + 3.70613i 0.105162 + 0.182146i
\(415\) −12.5288 + 5.26733i −0.615016 + 0.258563i
\(416\) −0.429320 + 0.743604i −0.0210491 + 0.0364582i
\(417\) 28.0020i 1.37127i
\(418\) 27.8684 0.293136i 1.36309 0.0143378i
\(419\) −7.80296 −0.381200 −0.190600 0.981668i \(-0.561043\pi\)
−0.190600 + 0.981668i \(0.561043\pi\)
\(420\) −2.68321 6.38224i −0.130927 0.311422i
\(421\) −16.9845 + 29.4180i −0.827773 + 1.43374i 0.0720091 + 0.997404i \(0.477059\pi\)
−0.899782 + 0.436340i \(0.856274\pi\)
\(422\) −6.84879 + 3.95415i −0.333394 + 0.192485i
\(423\) 7.68182 + 4.43510i 0.373503 + 0.215642i
\(424\) −3.10295 5.37446i −0.150692 0.261007i
\(425\) −22.5861 + 6.30849i −1.09559 + 0.306007i
\(426\) 2.92453 0.141694
\(427\) 16.1795 9.34122i 0.782979 0.452053i
\(428\) 8.66025 5.00000i 0.418609 0.241684i
\(429\) −7.29763 −0.352333
\(430\) −9.63137 + 12.6901i −0.464466 + 0.611972i
\(431\) −9.07565 15.7195i −0.437158 0.757181i 0.560311 0.828283i \(-0.310682\pi\)
−0.997469 + 0.0711019i \(0.977348\pi\)
\(432\) 4.87300 + 2.81343i 0.234452 + 0.135361i
\(433\) −0.272199 + 0.157154i −0.0130810 + 0.00755234i −0.506526 0.862225i \(-0.669071\pi\)
0.493445 + 0.869777i \(0.335737\pi\)
\(434\) 9.61106 16.6468i 0.461346 0.799074i
\(435\) −12.1135 + 5.09274i −0.580800 + 0.244178i
\(436\) −3.03434 −0.145319
\(437\) −7.42583 + 13.1802i −0.355226 + 0.630492i
\(438\) 6.19062i 0.295799i
\(439\) 4.33220 7.50359i 0.206765 0.358127i −0.743929 0.668259i \(-0.767040\pi\)
0.950694 + 0.310132i \(0.100373\pi\)
\(440\) −13.1796 + 5.54093i −0.628312 + 0.264153i
\(441\) −0.970736 1.68136i −0.0462255 0.0800650i
\(442\) 3.48759 + 2.01356i 0.165888 + 0.0957753i
\(443\) 3.36744 1.94419i 0.159992 0.0923714i −0.417866 0.908509i \(-0.637222\pi\)
0.577858 + 0.816137i \(0.303889\pi\)
\(444\) −12.9845 −0.616219
\(445\) 15.2744 20.1252i 0.724074 0.954027i
\(446\) −4.16463 7.21336i −0.197201 0.341562i
\(447\) −7.31894 + 4.22559i −0.346174 + 0.199864i
\(448\) 2.32927i 0.110047i
\(449\) −32.9375 −1.55442 −0.777208 0.629243i \(-0.783365\pi\)
−0.777208 + 0.629243i \(0.783365\pi\)
\(450\) −4.40533 4.31319i −0.207669 0.203326i
\(451\) −11.7969 + 20.4329i −0.555496 + 0.962147i
\(452\) −4.30778 + 2.48710i −0.202621 + 0.116983i
\(453\) −3.51752 2.03084i −0.165268 0.0954174i
\(454\) −5.68402 + 9.84500i −0.266764 + 0.462049i
\(455\) 2.70368 3.56232i 0.126750 0.167004i
\(456\) 0.0609427 + 5.79381i 0.00285390 + 0.271320i
\(457\) 1.22533i 0.0573184i 0.999589 + 0.0286592i \(0.00912376\pi\)
−0.999589 + 0.0286592i \(0.990876\pi\)
\(458\) −1.95341 1.12780i −0.0912766 0.0526986i
\(459\) 13.1953 22.8549i 0.615904 1.06678i
\(460\) 0.972288 7.69941i 0.0453331 0.358987i
\(461\) 19.5927 33.9356i 0.912524 1.58054i 0.102038 0.994781i \(-0.467464\pi\)
0.810486 0.585758i \(-0.199203\pi\)
\(462\) −17.1443 + 9.89827i −0.797626 + 0.460509i
\(463\) 32.5754i 1.51391i 0.653469 + 0.756953i \(0.273313\pi\)
−0.653469 + 0.756953i \(0.726687\pi\)
\(464\) 4.42096 0.205238
\(465\) −3.07313 + 24.3357i −0.142513 + 1.12854i
\(466\) 7.96900 + 13.8027i 0.369157 + 0.639398i
\(467\) 16.9079i 0.782406i −0.920304 0.391203i \(-0.872059\pi\)
0.920304 0.391203i \(-0.127941\pi\)
\(468\) 1.05875i 0.0489407i
\(469\) 5.71269 + 9.89467i 0.263788 + 0.456894i
\(470\) −6.23412 14.8284i −0.287558 0.683983i
\(471\) 5.41192 + 9.37371i 0.249368 + 0.431918i
\(472\) 5.35888 + 3.09395i 0.246663 + 0.142411i
\(473\) 39.4505 + 22.7767i 1.81394 + 1.04728i
\(474\) −15.3970 −0.707206
\(475\) 5.19572 21.1661i 0.238396 0.971168i
\(476\) 10.9245 0.500725
\(477\) −6.62700 3.82610i −0.303429 0.175185i
\(478\) 5.74532 + 3.31706i 0.262785 + 0.151719i
\(479\) 1.82570 + 3.16220i 0.0834181 + 0.144484i 0.904716 0.426015i \(-0.140083\pi\)
−0.821298 + 0.570500i \(0.806750\pi\)
\(480\) −1.15195 2.74002i −0.0525793 0.125064i
\(481\) −4.19369 7.26368i −0.191216 0.331195i
\(482\) 22.0794i 1.00569i
\(483\) 10.7458i 0.488950i
\(484\) 14.9403 + 25.8774i 0.679106 + 1.17625i
\(485\) 3.17968 25.1794i 0.144382 1.14334i
\(486\) 11.8554 0.537771
\(487\) 13.7416i 0.622691i −0.950297 0.311346i \(-0.899220\pi\)
0.950297 0.311346i \(-0.100780\pi\)
\(488\) 6.94616 4.01037i 0.314438 0.181541i
\(489\) 8.91274 15.4373i 0.403048 0.698099i
\(490\) −0.441099 + 3.49300i −0.0199268 + 0.157798i
\(491\) 17.3839 30.1098i 0.784525 1.35884i −0.144758 0.989467i \(-0.546240\pi\)
0.929283 0.369369i \(-0.120426\pi\)
\(492\) −4.24798 2.45257i −0.191514 0.110571i
\(493\) 20.7348i 0.933849i
\(494\) −3.22143 + 1.90535i −0.144939 + 0.0857258i
\(495\) −10.6578 + 14.0425i −0.479031 + 0.631163i
\(496\) 4.12622 7.14682i 0.185273 0.320902i
\(497\) 4.43807 + 2.56232i 0.199075 + 0.114936i
\(498\) −6.99696 + 4.03970i −0.313541 + 0.181023i
\(499\) 8.31410 14.4005i 0.372190 0.644653i −0.617712 0.786405i \(-0.711940\pi\)
0.989902 + 0.141752i \(0.0452735\pi\)
\(500\) 1.63484 + 11.0602i 0.0731124 + 0.494626i
\(501\) 17.2600 0.771121
\(502\) 9.45115i 0.421825i
\(503\) −4.12176 + 2.37970i −0.183780 + 0.106106i −0.589068 0.808084i \(-0.700505\pi\)
0.405287 + 0.914189i \(0.367171\pi\)
\(504\) 1.43605 + 2.48732i 0.0639670 + 0.110794i
\(505\) −3.00223 + 3.95569i −0.133598 + 0.176026i
\(506\) −22.1905 −0.986487
\(507\) −14.1166 + 8.15022i −0.626940 + 0.361964i
\(508\) −12.3833 7.14949i −0.549419 0.317207i
\(509\) −1.41576 2.45217i −0.0627524 0.108690i 0.832942 0.553360i \(-0.186655\pi\)
−0.895695 + 0.444669i \(0.853321\pi\)
\(510\) −12.8510 + 5.40280i −0.569053 + 0.239240i
\(511\) −5.42390 + 9.39446i −0.239939 + 0.415587i
\(512\) 1.00000i 0.0441942i
\(513\) 12.4862 + 21.1107i 0.551278 + 0.932062i
\(514\) 26.7890 1.18161
\(515\) 6.72943 2.82917i 0.296534 0.124668i
\(516\) −4.73527 + 8.20172i −0.208459 + 0.361061i
\(517\) −39.8328 + 22.9975i −1.75185 + 1.01143i
\(518\) −19.7045 11.3764i −0.865764 0.499849i
\(519\) −1.40609 2.43542i −0.0617206 0.106903i
\(520\) 1.16074 1.52937i 0.0509020 0.0670675i
\(521\) 4.92317 0.215688 0.107844 0.994168i \(-0.465605\pi\)
0.107844 + 0.994168i \(0.465605\pi\)
\(522\) 4.72095 2.72564i 0.206630 0.119298i
\(523\) 25.0190 14.4447i 1.09400 0.631624i 0.159365 0.987220i \(-0.449055\pi\)
0.934640 + 0.355596i \(0.115722\pi\)
\(524\) −2.37893 −0.103924
\(525\) 4.16459 + 14.9104i 0.181757 + 0.650742i
\(526\) −7.19364 12.4598i −0.313658 0.543271i
\(527\) −33.5194 19.3525i −1.46013 0.843006i
\(528\) −7.36040 + 4.24953i −0.320320 + 0.184937i
\(529\) −5.47738 + 9.48710i −0.238147 + 0.412483i
\(530\) 5.37809 + 12.7923i 0.233609 + 0.555660i
\(531\) 7.63002 0.331115
\(532\) −4.98375 + 8.84569i −0.216073 + 0.383509i
\(533\) 3.16848i 0.137242i
\(534\) 7.50965 13.0071i 0.324974 0.562872i
\(535\) −20.6131 + 8.66610i −0.891181 + 0.374668i
\(536\) 2.45257 + 4.24798i 0.105935 + 0.183485i
\(537\) 11.3729 + 6.56616i 0.490778 + 0.283351i
\(538\) −11.1628 + 6.44486i −0.481264 + 0.277858i
\(539\) 10.0672 0.433624
\(540\) −10.0223 7.60660i −0.431292 0.327336i
\(541\) −2.30730 3.99637i −0.0991987 0.171817i 0.812154 0.583442i \(-0.198295\pi\)
−0.911353 + 0.411625i \(0.864961\pi\)
\(542\) 17.4776 10.0907i 0.750727 0.433433i
\(543\) 20.0446i 0.860198i
\(544\) 4.69012 0.201087
\(545\) 6.73153 + 0.850064i 0.288347 + 0.0364127i
\(546\) 1.32927 2.30235i 0.0568873 0.0985317i
\(547\) 21.0552 12.1562i 0.900255 0.519763i 0.0229724 0.999736i \(-0.492687\pi\)
0.877283 + 0.479973i \(0.159354\pi\)
\(548\) −7.87364 4.54585i −0.336345 0.194189i
\(549\) 4.94500 8.56500i 0.211048 0.365545i
\(550\) 30.7905 8.60004i 1.31291 0.366707i
\(551\) 16.7892 + 9.45919i 0.715243 + 0.402975i
\(552\) 4.61338i 0.196359i
\(553\) −23.3654 13.4900i −0.993597 0.573654i
\(554\) 3.70049 6.40943i 0.157219 0.272311i
\(555\) 28.8056 + 3.63759i 1.22273 + 0.154407i
\(556\) 10.5329 18.2435i 0.446694 0.773697i
\(557\) 21.1577 12.2154i 0.896479 0.517582i 0.0204227 0.999791i \(-0.493499\pi\)
0.876056 + 0.482209i \(0.160165\pi\)
\(558\) 10.1757i 0.430772i
\(559\) −6.11750 −0.258743
\(560\) 0.652538 5.16736i 0.0275748 0.218361i
\(561\) 19.9308 + 34.5211i 0.841478 + 1.45748i
\(562\) 2.72167i 0.114807i
\(563\) 19.7981i 0.834390i 0.908817 + 0.417195i \(0.136987\pi\)
−0.908817 + 0.417195i \(0.863013\pi\)
\(564\) −4.78116 8.28121i −0.201323 0.348702i
\(565\) 10.2533 4.31069i 0.431361 0.181352i
\(566\) 10.2721 + 17.7918i 0.431769 + 0.747845i
\(567\) −7.62587 4.40280i −0.320256 0.184900i
\(568\) 1.90535 + 1.10005i 0.0799467 + 0.0461573i
\(569\) 39.9935 1.67662 0.838308 0.545197i \(-0.183545\pi\)
0.838308 + 0.545197i \(0.183545\pi\)
\(570\) 1.48792 12.8704i 0.0623223 0.539080i
\(571\) −30.3255 −1.26908 −0.634542 0.772889i \(-0.718811\pi\)
−0.634542 + 0.772889i \(0.718811\pi\)
\(572\) −4.75445 2.74498i −0.198794 0.114774i
\(573\) 10.1786 + 5.87663i 0.425218 + 0.245500i
\(574\) −4.29763 7.44372i −0.179380 0.310695i
\(575\) −4.31394 + 16.8084i −0.179904 + 0.700957i
\(576\) 0.616527 + 1.06786i 0.0256886 + 0.0444940i
\(577\) 31.8330i 1.32523i 0.748962 + 0.662613i \(0.230552\pi\)
−0.748962 + 0.662613i \(0.769448\pi\)
\(578\) 4.99721i 0.207856i
\(579\) −12.4239 21.5188i −0.516318 0.894289i
\(580\) −9.80767 1.23852i −0.407241 0.0514268i
\(581\) −14.1575 −0.587352
\(582\) 15.0872i 0.625383i
\(583\) 34.3632 19.8396i 1.42318 0.821673i
\(584\) −2.32859 + 4.03323i −0.0963576 + 0.166896i
\(585\) 0.296606 2.34878i 0.0122632 0.0971102i
\(586\) −13.3658 + 23.1502i −0.552134 + 0.956324i
\(587\) −0.919322 0.530771i −0.0379445 0.0219073i 0.480908 0.876771i \(-0.340307\pi\)
−0.518852 + 0.854864i \(0.673641\pi\)
\(588\) 2.09296i 0.0863122i
\(589\) 30.9614 18.3124i 1.27574 0.754551i
\(590\) −11.0216 8.36506i −0.453754 0.344384i
\(591\) 10.8448 18.7837i 0.446094 0.772657i
\(592\) −8.45952 4.88411i −0.347684 0.200736i
\(593\) 32.5188 18.7747i 1.33539 0.770985i 0.349266 0.937024i \(-0.386431\pi\)
0.986119 + 0.166039i \(0.0530976\pi\)
\(594\) −17.9885 + 31.1570i −0.738076 + 1.27839i
\(595\) −24.2355 3.06048i −0.993559 0.125468i
\(596\) −6.35778 −0.260425
\(597\) 4.18592i 0.171318i
\(598\) 2.58077 1.49001i 0.105536 0.0609310i
\(599\) −5.02165 8.69775i −0.205179 0.355380i 0.745011 0.667052i \(-0.232444\pi\)
−0.950190 + 0.311672i \(0.899111\pi\)
\(600\) 1.78794 + 6.40132i 0.0729924 + 0.261333i
\(601\) 7.56630 0.308636 0.154318 0.988021i \(-0.450682\pi\)
0.154318 + 0.988021i \(0.450682\pi\)
\(602\) −14.3718 + 8.29759i −0.585753 + 0.338184i
\(603\) 5.23799 + 3.02415i 0.213307 + 0.123153i
\(604\) −1.52779 2.64622i −0.0621651 0.107673i
\(605\) −25.8949 61.5932i −1.05278 2.50412i
\(606\) −1.47605 + 2.55659i −0.0599604 + 0.103854i
\(607\) 30.8174i 1.25084i 0.780288 + 0.625420i \(0.215072\pi\)
−0.780288 + 0.625420i \(0.784928\pi\)
\(608\) −2.13962 + 3.79763i −0.0867732 + 0.154014i
\(609\) −13.6882 −0.554675
\(610\) −16.5332 + 6.95085i −0.669410 + 0.281432i
\(611\) 3.08839 5.34925i 0.124943 0.216408i
\(612\) 5.00837 2.89158i 0.202451 0.116885i
\(613\) 16.2208 + 9.36510i 0.655153 + 0.378253i 0.790428 0.612555i \(-0.209858\pi\)
−0.135275 + 0.990808i \(0.543192\pi\)
\(614\) −6.38026 11.0509i −0.257486 0.445980i
\(615\) 8.73685 + 6.63097i 0.352304 + 0.267387i
\(616\) −14.8928 −0.600050
\(617\) 40.1386 23.1741i 1.61592 0.932952i 0.627960 0.778245i \(-0.283890\pi\)
0.987960 0.154707i \(-0.0494434\pi\)
\(618\) 3.75818 2.16979i 0.151176 0.0872816i
\(619\) −11.5591 −0.464600 −0.232300 0.972644i \(-0.574625\pi\)
−0.232300 + 0.972644i \(0.574625\pi\)
\(620\) −11.1560 + 14.6989i −0.448035 + 0.590322i
\(621\) −9.76435 16.9123i −0.391830 0.678669i
\(622\) 6.03313 + 3.48323i 0.241906 + 0.139665i
\(623\) 22.7923 13.1591i 0.913153 0.527209i
\(624\) 0.570680 0.988447i 0.0228455 0.0395695i
\(625\) −0.528335 24.9944i −0.0211334 0.999777i
\(626\) 26.1692 1.04593
\(627\) −37.0445 + 0.389655i −1.47941 + 0.0155613i
\(628\) 8.14272i 0.324930i
\(629\) −22.9070 + 39.6761i −0.913363 + 1.58199i
\(630\) −2.48900 5.92030i −0.0991641 0.235870i
\(631\) −22.4567 38.8962i −0.893989 1.54843i −0.835051 0.550173i \(-0.814562\pi\)
−0.0589383 0.998262i \(-0.518772\pi\)
\(632\) −10.0312 5.79153i −0.399021 0.230375i
\(633\) 9.10386 5.25612i 0.361846 0.208912i
\(634\) −8.75740 −0.347801
\(635\) 25.4688 + 19.3299i 1.01070 + 0.767085i
\(636\) 4.12464 + 7.14408i 0.163553 + 0.283281i
\(637\) −1.17082 + 0.675974i −0.0463897 + 0.0267831i
\(638\) 28.2667i 1.11909i
\(639\) 2.71285 0.107319
\(640\) 0.280148 2.21845i 0.0110738 0.0876919i
\(641\) 17.3522 30.0549i 0.685371 1.18710i −0.287949 0.957646i \(-0.592973\pi\)
0.973320 0.229451i \(-0.0736932\pi\)
\(642\) −11.5118 + 6.64633i −0.454333 + 0.262310i
\(643\) −32.4734 18.7485i −1.28062 0.739369i −0.303662 0.952780i \(-0.598209\pi\)
−0.976963 + 0.213411i \(0.931543\pi\)
\(644\) 4.04200 7.00096i 0.159277 0.275876i
\(645\) 12.8026 16.8685i 0.504104 0.664198i
\(646\) 17.8113 + 10.0351i 0.700778 + 0.394825i
\(647\) 22.6592i 0.890823i −0.895326 0.445412i \(-0.853057\pi\)
0.895326 0.445412i \(-0.146943\pi\)
\(648\) −3.27394 1.89021i −0.128612 0.0742544i
\(649\) −19.7821 + 34.2636i −0.776516 + 1.34496i
\(650\) −3.00350 + 3.06766i −0.117807 + 0.120324i
\(651\) −12.7756 + 22.1281i −0.500717 + 0.867267i
\(652\) 11.6134 6.70501i 0.454817 0.262588i
\(653\) 17.7667i 0.695266i 0.937631 + 0.347633i \(0.113014\pi\)
−0.937631 + 0.347633i \(0.886986\pi\)
\(654\) 4.03344 0.157720
\(655\) 5.27754 + 0.666452i 0.206211 + 0.0260404i
\(656\) −1.84506 3.19574i −0.0720375 0.124773i
\(657\) 5.74255i 0.224038i
\(658\) 16.7560i 0.653217i
\(659\) 0.991869 + 1.71797i 0.0386377 + 0.0669225i 0.884698 0.466165i \(-0.154365\pi\)
−0.846060 + 0.533088i \(0.821031\pi\)
\(660\) 17.5192 7.36536i 0.681932 0.286696i
\(661\) −13.1253 22.7337i −0.510515 0.884237i −0.999926 0.0121841i \(-0.996122\pi\)
0.489411 0.872053i \(-0.337212\pi\)
\(662\) 8.09507 + 4.67369i 0.314624 + 0.181648i
\(663\) −4.63593 2.67656i −0.180045 0.103949i
\(664\) −6.07809 −0.235876
\(665\) 13.5343 18.2275i 0.524838 0.706833i
\(666\) −12.0447 −0.466724
\(667\) −13.2879 7.67175i −0.514508 0.297051i
\(668\) 11.2450 + 6.49232i 0.435083 + 0.251195i
\(669\) 5.53590 + 9.58846i 0.214030 + 0.370711i
\(670\) −4.25085 10.1110i −0.164225 0.390622i
\(671\) 25.6415 + 44.4124i 0.989879 + 1.71452i
\(672\) 3.09621i 0.119439i
\(673\) 16.0432i 0.618418i 0.950994 + 0.309209i \(0.100064\pi\)
−0.950994 + 0.309209i \(0.899936\pi\)
\(674\) 4.87376 + 8.44159i 0.187730 + 0.325158i
\(675\) 20.1030 + 19.6826i 0.773766 + 0.757583i
\(676\) −12.2627 −0.471644
\(677\) 48.5483i 1.86586i −0.360056 0.932931i \(-0.617243\pi\)
0.360056 0.932931i \(-0.382757\pi\)
\(678\) 5.72618 3.30601i 0.219913 0.126967i
\(679\) 13.2186 22.8953i 0.507283 0.878640i
\(680\) −10.4048 1.31393i −0.399005 0.0503868i
\(681\) 7.55556 13.0866i 0.289530 0.501480i
\(682\) 45.6953 + 26.3822i 1.74976 + 1.01023i
\(683\) 13.3802i 0.511981i 0.966679 + 0.255990i \(0.0824015\pi\)
−0.966679 + 0.255990i \(0.917598\pi\)
\(684\) 0.0565317 + 5.37446i 0.00216155 + 0.205498i
\(685\) 16.1938 + 12.2905i 0.618732 + 0.469596i
\(686\) −9.98617 + 17.2966i −0.381274 + 0.660385i
\(687\) 2.59659 + 1.49914i 0.0990662 + 0.0571959i
\(688\) −6.17012 + 3.56232i −0.235234 + 0.135812i
\(689\) −2.66431 + 4.61473i −0.101502 + 0.175807i
\(690\) −1.29243 + 10.2346i −0.0492019 + 0.389623i
\(691\) −25.8354 −0.982825 −0.491413 0.870927i \(-0.663519\pi\)
−0.491413 + 0.870927i \(0.663519\pi\)
\(692\) 2.11559i 0.0804228i
\(693\) −15.9034 + 9.18184i −0.604121 + 0.348789i
\(694\) 7.38162 + 12.7853i 0.280202 + 0.485325i
\(695\) −28.4776 + 37.5215i −1.08022 + 1.42327i
\(696\) −5.87663 −0.222753
\(697\) −14.9884 + 8.65354i −0.567725 + 0.327776i
\(698\) 12.8445 + 7.41576i 0.486170 + 0.280691i
\(699\) −10.5929 18.3475i −0.400661 0.693965i
\(700\) −2.89525 + 11.2807i −0.109430 + 0.426371i
\(701\) −24.6167 + 42.6373i −0.929758 + 1.61039i −0.146034 + 0.989280i \(0.546651\pi\)
−0.783724 + 0.621109i \(0.786682\pi\)
\(702\) 4.83144i 0.182351i
\(703\) −21.6760 36.6482i −0.817525 1.38221i
\(704\) −6.39380 −0.240975
\(705\) 8.28680 + 19.7109i 0.312099 + 0.742355i
\(706\) 13.4058 23.2194i 0.504532 0.873875i
\(707\) −4.47990 + 2.58647i −0.168484 + 0.0972744i
\(708\) −7.12338 4.11268i −0.267713 0.154564i
\(709\) 5.44796 + 9.43614i 0.204602 + 0.354382i 0.950006 0.312232i \(-0.101077\pi\)
−0.745404 + 0.666613i \(0.767743\pi\)
\(710\) −3.91875 2.97420i −0.147068 0.111620i
\(711\) −14.2825 −0.535637
\(712\) 9.78517 5.64947i 0.366715 0.211723i
\(713\) −24.8039 + 14.3206i −0.928915 + 0.536309i
\(714\) −14.5216 −0.543457
\(715\) 9.77851 + 7.42156i 0.365696 + 0.277551i
\(716\) 4.93969 + 8.55579i 0.184605 + 0.319745i
\(717\) −7.63705 4.40925i −0.285211 0.164667i
\(718\) −0.342680 + 0.197846i −0.0127887 + 0.00738355i
\(719\) −16.9141 + 29.2961i −0.630789 + 1.09256i 0.356602 + 0.934257i \(0.383935\pi\)
−0.987391 + 0.158302i \(0.949398\pi\)
\(720\) −1.06858 2.54170i −0.0398235 0.0947237i
\(721\) 7.60422 0.283196
\(722\) −16.2510 + 9.84402i −0.604800 + 0.366356i
\(723\) 29.3494i 1.09152i
\(724\) 7.53974 13.0592i 0.280212 0.485342i
\(725\) 21.4109 + 5.49519i 0.795179 + 0.204086i
\(726\) −19.8597 34.3979i −0.737061 1.27663i
\(727\) 44.1108 + 25.4674i 1.63598 + 0.944533i 0.982198 + 0.187848i \(0.0601513\pi\)
0.653780 + 0.756684i \(0.273182\pi\)
\(728\) 1.73205 1.00000i 0.0641941 0.0370625i
\(729\) −27.1002 −1.00371
\(730\) 6.29575 8.29517i 0.233016 0.307018i
\(731\) 16.7077 + 28.9386i 0.617957 + 1.07033i
\(732\) −9.23330 + 5.33085i −0.341272 + 0.197034i
\(733\) 30.8270i 1.13862i 0.822123 + 0.569310i \(0.192790\pi\)
−0.822123 + 0.569310i \(0.807210\pi\)
\(734\) 6.98454 0.257804
\(735\) 0.586338 4.64312i 0.0216274 0.171264i
\(736\) 1.73531 3.00565i 0.0639645 0.110790i
\(737\) −27.1607 + 15.6813i −1.00048 + 0.577626i
\(738\) −3.94052 2.27506i −0.145052 0.0837460i
\(739\) −18.8645 + 32.6742i −0.693941 + 1.20194i 0.276596 + 0.960986i \(0.410794\pi\)
−0.970536 + 0.240954i \(0.922540\pi\)
\(740\) 17.3987 + 13.2051i 0.639591 + 0.485428i
\(741\) 4.28214 2.53272i 0.157308 0.0930417i
\(742\) 14.4552i 0.530666i
\(743\) −28.4038 16.3990i −1.04204 0.601619i −0.121626 0.992576i \(-0.538811\pi\)
−0.920409 + 0.390957i \(0.872144\pi\)
\(744\) −5.48484 + 9.50002i −0.201084 + 0.348288i
\(745\) 14.1044 + 1.78112i 0.516746 + 0.0652551i
\(746\) 1.26311 2.18777i 0.0462456 0.0800998i
\(747\) −6.49053 + 3.74731i −0.237476 + 0.137107i
\(748\) 29.9877i 1.09646i
\(749\) −23.2927 −0.851095
\(750\) −2.17314 14.7019i −0.0793518 0.536837i
\(751\) −2.19685 3.80505i −0.0801641 0.138848i 0.823156 0.567815i \(-0.192211\pi\)
−0.903320 + 0.428967i \(0.858878\pi\)
\(752\) 7.19369i 0.262327i
\(753\) 12.5631i 0.457824i
\(754\) −1.89801 3.28744i −0.0691213 0.119722i
\(755\) 2.64800 + 6.29851i 0.0963707 + 0.229226i
\(756\) −6.55321 11.3505i −0.238338 0.412814i
\(757\) 44.1472 + 25.4884i 1.60456 + 0.926391i 0.990560 + 0.137082i \(0.0437725\pi\)
0.613997 + 0.789309i \(0.289561\pi\)
\(758\) −25.3811 14.6538i −0.921881 0.532248i
\(759\) 29.4970 1.07067
\(760\) 5.81055 7.82544i 0.210771 0.283859i
\(761\) 10.5364 0.381945 0.190973 0.981595i \(-0.438836\pi\)
0.190973 + 0.981595i \(0.438836\pi\)
\(762\) 16.4607 + 9.50357i 0.596307 + 0.344278i
\(763\) 6.12088 + 3.53389i 0.221591 + 0.127935i
\(764\) 4.42096 + 7.65733i 0.159945 + 0.277032i
\(765\) −11.9209 + 5.01175i −0.431001 + 0.181200i
\(766\) 3.11717 + 5.39911i 0.112628 + 0.195078i
\(767\) 5.31318i 0.191848i
\(768\) 1.32927i 0.0479657i
\(769\) −22.2243 38.4936i −0.801429 1.38812i −0.918676 0.395013i \(-0.870740\pi\)
0.117246 0.993103i \(-0.462593\pi\)
\(770\) 33.0390 + 4.17220i 1.19064 + 0.150356i
\(771\) −35.6096 −1.28245
\(772\) 18.6928i 0.672770i
\(773\) −40.1667 + 23.1902i −1.44469 + 0.834095i −0.998158 0.0606710i \(-0.980676\pi\)
−0.446536 + 0.894766i \(0.647343\pi\)
\(774\) −4.39253 + 7.60809i −0.157886 + 0.273467i
\(775\) 28.8668 29.4835i 1.03693 1.05908i
\(776\) 5.67500