Properties

Label 585.2.bt.b.571.5
Level $585$
Weight $2$
Character 585.571
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 571.5
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.20318 + 1.27200i) q^{2} +(0.350451 + 1.69623i) q^{3} +(2.23599 - 3.87285i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-2.92971 - 3.29131i) q^{6} +(-0.586224 + 0.338456i) q^{7} +6.28874i q^{8} +(-2.75437 + 1.18889i) q^{9} +O(q^{10})\) \(q+(-2.20318 + 1.27200i) q^{2} +(0.350451 + 1.69623i) q^{3} +(2.23599 - 3.87285i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-2.92971 - 3.29131i) q^{6} +(-0.586224 + 0.338456i) q^{7} +6.28874i q^{8} +(-2.75437 + 1.18889i) q^{9} +2.54401 q^{10} +(-3.28964 + 1.89927i) q^{11} +(7.35283 + 2.43550i) q^{12} +(2.20335 + 2.85399i) q^{13} +(0.861036 - 1.49136i) q^{14} +(0.544614 - 1.64420i) q^{15} +(-3.52732 - 6.10950i) q^{16} +0.607547 q^{17} +(4.55609 - 6.12290i) q^{18} -3.20793i q^{19} +(-3.87285 + 2.23599i) q^{20} +(-0.779541 - 0.875756i) q^{21} +(4.83177 - 8.36886i) q^{22} +(-2.41950 + 4.19070i) q^{23} +(-10.6671 + 2.20389i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-8.48465 - 3.48518i) q^{26} +(-2.98189 - 4.25539i) q^{27} +3.02714i q^{28} +(-3.96123 - 6.86105i) q^{29} +(0.891549 + 4.31522i) q^{30} +(-5.27590 - 3.04604i) q^{31} +(4.65021 + 2.68480i) q^{32} +(-4.37445 - 4.91437i) q^{33} +(-1.33853 + 0.772802i) q^{34} +0.676913 q^{35} +(-1.55436 + 13.3256i) q^{36} -2.77571i q^{37} +(4.08051 + 7.06764i) q^{38} +(-4.06885 + 4.73756i) q^{39} +(3.14437 - 5.44621i) q^{40} +(3.24880 + 1.87570i) q^{41} +(2.83143 + 0.937865i) q^{42} +(-5.70599 - 9.88307i) q^{43} +16.9870i q^{44} +(2.97980 + 0.347578i) q^{45} -12.3105i q^{46} +(7.36875 - 4.25435i) q^{47} +(9.12695 - 8.12422i) q^{48} +(-3.27089 + 5.66536i) q^{49} +(-2.20318 - 1.27200i) q^{50} +(0.212915 + 1.03054i) q^{51} +(15.9797 - 2.15173i) q^{52} -2.76231 q^{53} +(11.9825 + 5.58239i) q^{54} +3.79855 q^{55} +(-2.12846 - 3.68661i) q^{56} +(5.44138 - 1.12422i) q^{57} +(17.4546 + 10.0774i) q^{58} +(-2.31312 - 1.33548i) q^{59} +(-5.14999 - 5.78562i) q^{60} +(-1.86548 - 3.23110i) q^{61} +15.4983 q^{62} +(1.21229 - 1.62919i) q^{63} +0.448974 q^{64} +(-0.481159 - 3.57330i) q^{65} +(15.8888 + 5.26290i) q^{66} +(2.92456 + 1.68849i) q^{67} +(1.35847 - 2.35294i) q^{68} +(-7.95629 - 2.63539i) q^{69} +(-1.49136 + 0.861036i) q^{70} -9.87673i q^{71} +(-7.47660 - 17.3215i) q^{72} +11.1655i q^{73} +(3.53071 + 6.11537i) q^{74} +(-1.29375 + 1.15161i) q^{75} +(-12.4238 - 7.17291i) q^{76} +(1.28564 - 2.22680i) q^{77} +(2.93820 - 15.6133i) q^{78} +(-2.46916 - 4.27671i) q^{79} +7.05465i q^{80} +(6.17310 - 6.54927i) q^{81} -9.54357 q^{82} +(-10.1895 + 5.88288i) q^{83} +(-5.13472 + 1.06086i) q^{84} +(-0.526151 - 0.303773i) q^{85} +(25.1426 + 14.5161i) q^{86} +(10.2497 - 9.12360i) q^{87} +(-11.9440 - 20.6877i) q^{88} -16.5506i q^{89} +(-7.00714 + 3.02454i) q^{90} +(-2.25761 - 0.927340i) q^{91} +(10.8200 + 18.7407i) q^{92} +(3.31783 - 10.0166i) q^{93} +(-10.8231 + 18.7462i) q^{94} +(-1.60397 + 2.77815i) q^{95} +(-2.92436 + 8.82871i) q^{96} +(-4.48050 + 2.58682i) q^{97} -16.6424i q^{98} +(6.80285 - 9.14230i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.20318 + 1.27200i −1.55788 + 0.899443i −0.560421 + 0.828208i \(0.689361\pi\)
−0.997460 + 0.0712352i \(0.977306\pi\)
\(3\) 0.350451 + 1.69623i 0.202333 + 0.979317i
\(4\) 2.23599 3.87285i 1.11800 1.93642i
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) −2.92971 3.29131i −1.19605 1.34367i
\(7\) −0.586224 + 0.338456i −0.221572 + 0.127924i −0.606678 0.794948i \(-0.707498\pi\)
0.385106 + 0.922872i \(0.374165\pi\)
\(8\) 6.28874i 2.22341i
\(9\) −2.75437 + 1.18889i −0.918123 + 0.396296i
\(10\) 2.54401 0.804486
\(11\) −3.28964 + 1.89927i −0.991863 + 0.572652i −0.905831 0.423640i \(-0.860752\pi\)
−0.0860322 + 0.996292i \(0.527419\pi\)
\(12\) 7.35283 + 2.43550i 2.12258 + 0.703069i
\(13\) 2.20335 + 2.85399i 0.611098 + 0.791555i
\(14\) 0.861036 1.49136i 0.230122 0.398582i
\(15\) 0.544614 1.64420i 0.140619 0.424531i
\(16\) −3.52732 6.10950i −0.881831 1.52738i
\(17\) 0.607547 0.147352 0.0736759 0.997282i \(-0.476527\pi\)
0.0736759 + 0.997282i \(0.476527\pi\)
\(18\) 4.55609 6.12290i 1.07388 1.44318i
\(19\) 3.20793i 0.735951i −0.929836 0.367975i \(-0.880051\pi\)
0.929836 0.367975i \(-0.119949\pi\)
\(20\) −3.87285 + 2.23599i −0.865995 + 0.499983i
\(21\) −0.779541 0.875756i −0.170110 0.191106i
\(22\) 4.83177 8.36886i 1.03014 1.78425i
\(23\) −2.41950 + 4.19070i −0.504501 + 0.873821i 0.495486 + 0.868616i \(0.334990\pi\)
−0.999986 + 0.00520496i \(0.998343\pi\)
\(24\) −10.6671 + 2.20389i −2.17742 + 0.449868i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) −8.48465 3.48518i −1.66398 0.683500i
\(27\) −2.98189 4.25539i −0.573865 0.818950i
\(28\) 3.02714i 0.572076i
\(29\) −3.96123 6.86105i −0.735582 1.27406i −0.954468 0.298314i \(-0.903576\pi\)
0.218886 0.975750i \(-0.429758\pi\)
\(30\) 0.891549 + 4.31522i 0.162774 + 0.787847i
\(31\) −5.27590 3.04604i −0.947579 0.547085i −0.0552511 0.998472i \(-0.517596\pi\)
−0.892328 + 0.451387i \(0.850929\pi\)
\(32\) 4.65021 + 2.68480i 0.822049 + 0.474610i
\(33\) −4.37445 4.91437i −0.761494 0.855482i
\(34\) −1.33853 + 0.772802i −0.229556 + 0.132534i
\(35\) 0.676913 0.114419
\(36\) −1.55436 + 13.3256i −0.259060 + 2.22093i
\(37\) 2.77571i 0.456324i −0.973623 0.228162i \(-0.926728\pi\)
0.973623 0.228162i \(-0.0732715\pi\)
\(38\) 4.08051 + 7.06764i 0.661946 + 1.14652i
\(39\) −4.06885 + 4.73756i −0.651538 + 0.758616i
\(40\) 3.14437 5.44621i 0.497168 0.861121i
\(41\) 3.24880 + 1.87570i 0.507377 + 0.292934i 0.731755 0.681568i \(-0.238702\pi\)
−0.224378 + 0.974502i \(0.572035\pi\)
\(42\) 2.83143 + 0.937865i 0.436899 + 0.144716i
\(43\) −5.70599 9.88307i −0.870156 1.50715i −0.861835 0.507189i \(-0.830685\pi\)
−0.00832073 0.999965i \(-0.502649\pi\)
\(44\) 16.9870i 2.56089i
\(45\) 2.97980 + 0.347578i 0.444202 + 0.0518139i
\(46\) 12.3105i 1.81508i
\(47\) 7.36875 4.25435i 1.07484 0.620561i 0.145342 0.989381i \(-0.453572\pi\)
0.929501 + 0.368821i \(0.120238\pi\)
\(48\) 9.12695 8.12422i 1.31736 1.17263i
\(49\) −3.27089 + 5.66536i −0.467271 + 0.809337i
\(50\) −2.20318 1.27200i −0.311576 0.179889i
\(51\) 0.212915 + 1.03054i 0.0298141 + 0.144304i
\(52\) 15.9797 2.15173i 2.21599 0.298391i
\(53\) −2.76231 −0.379432 −0.189716 0.981839i \(-0.560757\pi\)
−0.189716 + 0.981839i \(0.560757\pi\)
\(54\) 11.9825 + 5.58239i 1.63061 + 0.759667i
\(55\) 3.79855 0.512196
\(56\) −2.12846 3.68661i −0.284428 0.492644i
\(57\) 5.44138 1.12422i 0.720729 0.148907i
\(58\) 17.4546 + 10.0774i 2.29190 + 1.32323i
\(59\) −2.31312 1.33548i −0.301142 0.173865i 0.341814 0.939768i \(-0.388959\pi\)
−0.642956 + 0.765903i \(0.722292\pi\)
\(60\) −5.14999 5.78562i −0.664861 0.746921i
\(61\) −1.86548 3.23110i −0.238850 0.413700i 0.721535 0.692378i \(-0.243437\pi\)
−0.960385 + 0.278678i \(0.910104\pi\)
\(62\) 15.4983 1.96829
\(63\) 1.21229 1.62919i 0.152734 0.205258i
\(64\) 0.448974 0.0561217
\(65\) −0.481159 3.57330i −0.0596804 0.443214i
\(66\) 15.8888 + 5.26290i 1.95577 + 0.647818i
\(67\) 2.92456 + 1.68849i 0.357292 + 0.206282i 0.667892 0.744258i \(-0.267197\pi\)
−0.310600 + 0.950541i \(0.600530\pi\)
\(68\) 1.35847 2.35294i 0.164738 0.285335i
\(69\) −7.95629 2.63539i −0.957825 0.317264i
\(70\) −1.49136 + 0.861036i −0.178251 + 0.102913i
\(71\) 9.87673i 1.17215i −0.810256 0.586076i \(-0.800672\pi\)
0.810256 0.586076i \(-0.199328\pi\)
\(72\) −7.47660 17.3215i −0.881126 2.04136i
\(73\) 11.1655i 1.30682i 0.757003 + 0.653411i \(0.226663\pi\)
−0.757003 + 0.653411i \(0.773337\pi\)
\(74\) 3.53071 + 6.11537i 0.410437 + 0.710898i
\(75\) −1.29375 + 1.15161i −0.149389 + 0.132977i
\(76\) −12.4238 7.17291i −1.42511 0.822789i
\(77\) 1.28564 2.22680i 0.146512 0.253767i
\(78\) 2.93820 15.6133i 0.332686 1.76785i
\(79\) −2.46916 4.27671i −0.277802 0.481167i 0.693036 0.720903i \(-0.256273\pi\)
−0.970838 + 0.239736i \(0.922939\pi\)
\(80\) 7.05465i 0.788733i
\(81\) 6.17310 6.54927i 0.685900 0.727696i
\(82\) −9.54357 −1.05391
\(83\) −10.1895 + 5.88288i −1.11844 + 0.645730i −0.941002 0.338402i \(-0.890114\pi\)
−0.177436 + 0.984132i \(0.556780\pi\)
\(84\) −5.13472 + 1.06086i −0.560243 + 0.115750i
\(85\) −0.526151 0.303773i −0.0570691 0.0329488i
\(86\) 25.1426 + 14.5161i 2.71120 + 1.56531i
\(87\) 10.2497 9.12360i 1.09888 0.978152i
\(88\) −11.9440 20.6877i −1.27324 2.20531i
\(89\) 16.5506i 1.75436i −0.480163 0.877179i \(-0.659422\pi\)
0.480163 0.877179i \(-0.340578\pi\)
\(90\) −7.00714 + 3.02454i −0.738617 + 0.318814i
\(91\) −2.25761 0.927340i −0.236661 0.0972117i
\(92\) 10.8200 + 18.7407i 1.12806 + 1.95386i
\(93\) 3.31783 10.0166i 0.344043 1.03867i
\(94\) −10.8231 + 18.7462i −1.11632 + 1.93352i
\(95\) −1.60397 + 2.77815i −0.164564 + 0.285032i
\(96\) −2.92436 + 8.82871i −0.298467 + 0.901076i
\(97\) −4.48050 + 2.58682i −0.454926 + 0.262652i −0.709908 0.704294i \(-0.751264\pi\)
0.254982 + 0.966946i \(0.417930\pi\)
\(98\) 16.6424i 1.68113i
\(99\) 6.80285 9.14230i 0.683712 0.918836i
\(100\) 4.47198 0.447198
\(101\) 9.00439 + 15.5961i 0.895971 + 1.55187i 0.832599 + 0.553877i \(0.186852\pi\)
0.0633720 + 0.997990i \(0.479815\pi\)
\(102\) −1.77994 1.99963i −0.176240 0.197992i
\(103\) −0.202587 + 0.350890i −0.0199615 + 0.0345743i −0.875834 0.482613i \(-0.839688\pi\)
0.855872 + 0.517188i \(0.173021\pi\)
\(104\) −17.9480 + 13.8563i −1.75995 + 1.35872i
\(105\) 0.237224 + 1.14820i 0.0231507 + 0.112053i
\(106\) 6.08585 3.51367i 0.591110 0.341278i
\(107\) −3.95316 −0.382167 −0.191083 0.981574i \(-0.561200\pi\)
−0.191083 + 0.981574i \(0.561200\pi\)
\(108\) −23.1480 + 2.03341i −2.22741 + 0.195665i
\(109\) 15.2008i 1.45597i 0.685592 + 0.727986i \(0.259543\pi\)
−0.685592 + 0.727986i \(0.740457\pi\)
\(110\) −8.36886 + 4.83177i −0.797940 + 0.460691i
\(111\) 4.70823 0.972748i 0.446885 0.0923292i
\(112\) 4.13560 + 2.38769i 0.390777 + 0.225615i
\(113\) −4.48592 + 7.76985i −0.422000 + 0.730926i −0.996135 0.0878351i \(-0.972005\pi\)
0.574135 + 0.818761i \(0.305338\pi\)
\(114\) −10.5583 + 9.39832i −0.988876 + 0.880234i
\(115\) 4.19070 2.41950i 0.390785 0.225620i
\(116\) −35.4291 −3.28951
\(117\) −9.46190 5.24141i −0.874753 0.484569i
\(118\) 6.79494 0.625525
\(119\) −0.356158 + 0.205628i −0.0326490 + 0.0188499i
\(120\) 10.3399 + 3.42494i 0.943904 + 0.312653i
\(121\) 1.71447 2.96956i 0.155861 0.269960i
\(122\) 8.21995 + 4.74579i 0.744199 + 0.429664i
\(123\) −2.04306 + 6.16804i −0.184217 + 0.556153i
\(124\) −23.5937 + 13.6218i −2.11878 + 1.22328i
\(125\) 1.00000i 0.0894427i
\(126\) −0.598555 + 5.13142i −0.0533235 + 0.457144i
\(127\) −12.2139 −1.08380 −0.541902 0.840442i \(-0.682296\pi\)
−0.541902 + 0.840442i \(0.682296\pi\)
\(128\) −10.2896 + 5.94070i −0.909480 + 0.525089i
\(129\) 14.7643 13.1422i 1.29992 1.15710i
\(130\) 5.60533 + 7.26058i 0.491620 + 0.636795i
\(131\) 8.71835 15.1006i 0.761726 1.31935i −0.180234 0.983624i \(-0.557686\pi\)
0.941960 0.335725i \(-0.108981\pi\)
\(132\) −28.8138 + 5.95311i −2.50792 + 0.518152i
\(133\) 1.08575 + 1.88057i 0.0941461 + 0.163066i
\(134\) −8.59109 −0.742157
\(135\) 0.454700 + 5.17622i 0.0391343 + 0.445498i
\(136\) 3.82070i 0.327623i
\(137\) −10.5939 + 6.11637i −0.905095 + 0.522557i −0.878850 0.477099i \(-0.841688\pi\)
−0.0262452 + 0.999656i \(0.508355\pi\)
\(138\) 20.8813 4.31421i 1.77754 0.367250i
\(139\) −2.59598 + 4.49636i −0.220188 + 0.381377i −0.954865 0.297040i \(-0.904000\pi\)
0.734677 + 0.678417i \(0.237334\pi\)
\(140\) 1.51357 2.62158i 0.127920 0.221564i
\(141\) 9.79872 + 11.0081i 0.825201 + 0.927052i
\(142\) 12.5632 + 21.7602i 1.05428 + 1.82607i
\(143\) −12.6687 5.20384i −1.05941 0.435167i
\(144\) 16.9791 + 12.6342i 1.41492 + 1.05285i
\(145\) 7.92246i 0.657924i
\(146\) −14.2026 24.5995i −1.17541 2.03587i
\(147\) −10.7560 3.56275i −0.887141 0.293851i
\(148\) −10.7499 6.20645i −0.883636 0.510167i
\(149\) −8.10115 4.67720i −0.663672 0.383171i 0.130002 0.991514i \(-0.458501\pi\)
−0.793675 + 0.608342i \(0.791835\pi\)
\(150\) 1.38550 4.18286i 0.113126 0.341529i
\(151\) −11.4034 + 6.58377i −0.927997 + 0.535779i −0.886178 0.463346i \(-0.846649\pi\)
−0.0418195 + 0.999125i \(0.513315\pi\)
\(152\) 20.1739 1.63632
\(153\) −1.67341 + 0.722304i −0.135287 + 0.0583948i
\(154\) 6.54137i 0.527118i
\(155\) 3.04604 + 5.27590i 0.244664 + 0.423770i
\(156\) 9.24993 + 26.3512i 0.740587 + 2.10978i
\(157\) −1.74463 + 3.02179i −0.139237 + 0.241165i −0.927208 0.374547i \(-0.877798\pi\)
0.787971 + 0.615712i \(0.211132\pi\)
\(158\) 10.8800 + 6.28156i 0.865565 + 0.499734i
\(159\) −0.968052 4.68550i −0.0767716 0.371584i
\(160\) −2.68480 4.65021i −0.212252 0.367632i
\(161\) 3.27558i 0.258152i
\(162\) −5.26972 + 22.2814i −0.414029 + 1.75059i
\(163\) 2.43727i 0.190902i 0.995434 + 0.0954508i \(0.0304293\pi\)
−0.995434 + 0.0954508i \(0.969571\pi\)
\(164\) 14.5286 8.38807i 1.13449 0.654998i
\(165\) 1.33120 + 6.44319i 0.103634 + 0.501602i
\(166\) 14.9661 25.9221i 1.16160 2.01194i
\(167\) −3.38013 1.95152i −0.261563 0.151013i 0.363485 0.931600i \(-0.381587\pi\)
−0.625047 + 0.780587i \(0.714920\pi\)
\(168\) 5.50740 4.90233i 0.424905 0.378223i
\(169\) −3.29053 + 12.5767i −0.253118 + 0.967436i
\(170\) 1.54560 0.118542
\(171\) 3.81387 + 8.83583i 0.291654 + 0.675693i
\(172\) −51.0342 −3.89132
\(173\) 12.0167 + 20.8135i 0.913611 + 1.58242i 0.808922 + 0.587917i \(0.200052\pi\)
0.104690 + 0.994505i \(0.466615\pi\)
\(174\) −10.9766 + 33.1385i −0.832133 + 2.51223i
\(175\) −0.586224 0.338456i −0.0443143 0.0255849i
\(176\) 23.2072 + 13.3987i 1.74931 + 1.00996i
\(177\) 1.45464 4.39159i 0.109338 0.330092i
\(178\) 21.0524 + 36.4639i 1.57795 + 2.73308i
\(179\) 2.19010 0.163696 0.0818479 0.996645i \(-0.473918\pi\)
0.0818479 + 0.996645i \(0.473918\pi\)
\(180\) 8.00891 10.7631i 0.596949 0.802236i
\(181\) 16.7453 1.24466 0.622332 0.782753i \(-0.286185\pi\)
0.622332 + 0.782753i \(0.286185\pi\)
\(182\) 6.15348 0.828590i 0.456126 0.0614191i
\(183\) 4.82692 4.29661i 0.356816 0.317615i
\(184\) −26.3542 15.2156i −1.94286 1.12171i
\(185\) −1.38785 + 2.40383i −0.102037 + 0.176733i
\(186\) 5.43139 + 26.2886i 0.398249 + 1.92758i
\(187\) −1.99861 + 1.15390i −0.146153 + 0.0843813i
\(188\) 38.0507i 2.77513i
\(189\) 3.18832 + 1.48537i 0.231916 + 0.108045i
\(190\) 8.16101i 0.592062i
\(191\) −10.8226 18.7453i −0.783096 1.35636i −0.930130 0.367231i \(-0.880306\pi\)
0.147034 0.989131i \(-0.453027\pi\)
\(192\) 0.157343 + 0.761561i 0.0113553 + 0.0549610i
\(193\) 2.65041 + 1.53022i 0.190781 + 0.110147i 0.592348 0.805682i \(-0.298201\pi\)
−0.401567 + 0.915830i \(0.631534\pi\)
\(194\) 6.58089 11.3984i 0.472480 0.818360i
\(195\) 5.89251 2.06842i 0.421971 0.148123i
\(196\) 14.6274 + 25.3354i 1.04481 + 1.80967i
\(197\) 19.2776i 1.37347i −0.726906 0.686737i \(-0.759042\pi\)
0.726906 0.686737i \(-0.240958\pi\)
\(198\) −3.35883 + 28.7954i −0.238702 + 2.04640i
\(199\) −0.196595 −0.0139363 −0.00696813 0.999976i \(-0.502218\pi\)
−0.00696813 + 0.999976i \(0.502218\pi\)
\(200\) −5.44621 + 3.14437i −0.385105 + 0.222341i
\(201\) −1.83916 + 5.55245i −0.129724 + 0.391640i
\(202\) −39.6765 22.9073i −2.79163 1.61175i
\(203\) 4.64433 + 2.68141i 0.325968 + 0.188198i
\(204\) 4.46719 + 1.47968i 0.312766 + 0.103598i
\(205\) −1.87570 3.24880i −0.131004 0.226906i
\(206\) 1.03076i 0.0718168i
\(207\) 1.68193 14.4192i 0.116902 1.00221i
\(208\) 9.66455 23.5283i 0.670116 1.63139i
\(209\) 6.09274 + 10.5529i 0.421444 + 0.729962i
\(210\) −1.98316 2.22793i −0.136851 0.153742i
\(211\) 10.5773 18.3205i 0.728174 1.26123i −0.229480 0.973313i \(-0.573703\pi\)
0.957654 0.287921i \(-0.0929641\pi\)
\(212\) −6.17649 + 10.6980i −0.424203 + 0.734742i
\(213\) 16.7532 3.46131i 1.14791 0.237165i
\(214\) 8.70951 5.02844i 0.595370 0.343737i
\(215\) 11.4120i 0.778291i
\(216\) 26.7610 18.7523i 1.82086 1.27593i
\(217\) 4.12381 0.279942
\(218\) −19.3355 33.4900i −1.30956 2.26823i
\(219\) −18.9392 + 3.91295i −1.27979 + 0.264413i
\(220\) 8.49351 14.7112i 0.572632 0.991828i
\(221\) 1.33864 + 1.73393i 0.0900464 + 0.116637i
\(222\) −9.13572 + 8.13202i −0.613149 + 0.545786i
\(223\) −17.1482 + 9.90054i −1.14833 + 0.662989i −0.948480 0.316837i \(-0.897379\pi\)
−0.199851 + 0.979826i \(0.564046\pi\)
\(224\) −3.63475 −0.242857
\(225\) −2.40679 1.79091i −0.160453 0.119394i
\(226\) 22.8245i 1.51826i
\(227\) −0.525321 + 0.303295i −0.0348668 + 0.0201304i −0.517332 0.855785i \(-0.673075\pi\)
0.482465 + 0.875915i \(0.339741\pi\)
\(228\) 7.81294 23.5874i 0.517424 1.56211i
\(229\) −19.9475 11.5167i −1.31817 0.761045i −0.334735 0.942312i \(-0.608647\pi\)
−0.983434 + 0.181267i \(0.941980\pi\)
\(230\) −6.15523 + 10.6612i −0.405864 + 0.702977i
\(231\) 4.22771 + 1.40036i 0.278163 + 0.0921368i
\(232\) 43.1473 24.9111i 2.83276 1.63550i
\(233\) −18.0736 −1.18404 −0.592019 0.805924i \(-0.701669\pi\)
−0.592019 + 0.805924i \(0.701669\pi\)
\(234\) 27.5133 0.487821i 1.79860 0.0318899i
\(235\) −8.50870 −0.555046
\(236\) −10.3442 + 5.97224i −0.673351 + 0.388760i
\(237\) 6.38895 5.68703i 0.415007 0.369412i
\(238\) 0.523119 0.906069i 0.0339088 0.0587318i
\(239\) 7.36098 + 4.24987i 0.476142 + 0.274901i 0.718807 0.695209i \(-0.244688\pi\)
−0.242665 + 0.970110i \(0.578022\pi\)
\(240\) −11.9663 + 2.47230i −0.772420 + 0.159587i
\(241\) −12.3577 + 7.13471i −0.796028 + 0.459587i −0.842080 0.539352i \(-0.818669\pi\)
0.0460526 + 0.998939i \(0.485336\pi\)
\(242\) 8.72327i 0.560753i
\(243\) 13.2724 + 8.17578i 0.851425 + 0.524476i
\(244\) −16.6847 −1.06813
\(245\) 5.66536 3.27089i 0.361946 0.208970i
\(246\) −3.34455 16.1881i −0.213241 1.03211i
\(247\) 9.15542 7.06819i 0.582545 0.449738i
\(248\) 19.1558 33.1787i 1.21639 2.10685i
\(249\) −13.5496 15.2220i −0.858671 0.964653i
\(250\) 1.27200 + 2.20318i 0.0804486 + 0.139341i
\(251\) −24.8161 −1.56638 −0.783190 0.621782i \(-0.786409\pi\)
−0.783190 + 0.621782i \(0.786409\pi\)
\(252\) −3.59893 8.33786i −0.226711 0.525236i
\(253\) 18.3812i 1.15561i
\(254\) 26.9093 15.5361i 1.68844 0.974820i
\(255\) 0.330879 0.998929i 0.0207204 0.0625553i
\(256\) 14.6642 25.3992i 0.916514 1.58745i
\(257\) 5.36793 9.29754i 0.334843 0.579964i −0.648612 0.761119i \(-0.724650\pi\)
0.983455 + 0.181155i \(0.0579835\pi\)
\(258\) −15.8113 + 47.7347i −0.984371 + 2.97184i
\(259\) 0.939456 + 1.62719i 0.0583749 + 0.101108i
\(260\) −14.9147 6.12641i −0.924972 0.379944i
\(261\) 19.0677 + 14.1884i 1.18026 + 0.878240i
\(262\) 44.3591i 2.74052i
\(263\) 6.34254 + 10.9856i 0.391097 + 0.677401i 0.992595 0.121474i \(-0.0387622\pi\)
−0.601497 + 0.798875i \(0.705429\pi\)
\(264\) 30.9052 27.5098i 1.90208 1.69311i
\(265\) 2.39223 + 1.38115i 0.146953 + 0.0848436i
\(266\) −4.78418 2.76215i −0.293337 0.169358i
\(267\) 28.0735 5.80016i 1.71807 0.354964i
\(268\) 13.0786 7.55092i 0.798901 0.461246i
\(269\) 29.1526 1.77746 0.888732 0.458427i \(-0.151587\pi\)
0.888732 + 0.458427i \(0.151587\pi\)
\(270\) −7.58596 10.8257i −0.461667 0.658834i
\(271\) 26.5925i 1.61538i 0.589607 + 0.807690i \(0.299282\pi\)
−0.589607 + 0.807690i \(0.700718\pi\)
\(272\) −2.14301 3.71181i −0.129939 0.225061i
\(273\) 0.781800 4.15440i 0.0473167 0.251436i
\(274\) 15.5601 26.9509i 0.940020 1.62816i
\(275\) −3.28964 1.89927i −0.198373 0.114530i
\(276\) −27.9966 + 24.9208i −1.68520 + 1.50006i
\(277\) 0.909279 + 1.57492i 0.0546333 + 0.0946276i 0.892049 0.451939i \(-0.149268\pi\)
−0.837415 + 0.546567i \(0.815934\pi\)
\(278\) 13.2084i 0.792186i
\(279\) 18.1532 + 2.11747i 1.08680 + 0.126770i
\(280\) 4.25693i 0.254400i
\(281\) −17.6054 + 10.1645i −1.05025 + 0.606363i −0.922720 0.385472i \(-0.874039\pi\)
−0.127531 + 0.991835i \(0.540705\pi\)
\(282\) −35.5907 11.7888i −2.11940 0.702015i
\(283\) −1.72180 + 2.98225i −0.102351 + 0.177276i −0.912653 0.408736i \(-0.865970\pi\)
0.810302 + 0.586012i \(0.199303\pi\)
\(284\) −38.2511 22.0843i −2.26979 1.31046i
\(285\) −5.27449 1.74709i −0.312434 0.103488i
\(286\) 34.5307 4.64969i 2.04184 0.274942i
\(287\) −2.53936 −0.149894
\(288\) −16.0003 1.86636i −0.942828 0.109976i
\(289\) −16.6309 −0.978287
\(290\) −10.0774 17.4546i −0.591765 1.02497i
\(291\) −5.95802 6.69339i −0.349265 0.392374i
\(292\) 43.2423 + 24.9659i 2.53056 + 1.46102i
\(293\) 27.1894 + 15.6978i 1.58842 + 0.917074i 0.993568 + 0.113238i \(0.0361222\pi\)
0.594851 + 0.803836i \(0.297211\pi\)
\(294\) 28.2292 5.83233i 1.64636 0.340148i
\(295\) 1.33548 + 2.31312i 0.0777546 + 0.134675i
\(296\) 17.4557 1.01459
\(297\) 17.8915 + 8.33525i 1.03817 + 0.483661i
\(298\) 23.7977 1.37856
\(299\) −17.2912 + 2.32833i −0.999977 + 0.134651i
\(300\) 1.56721 + 7.58549i 0.0904828 + 0.437949i
\(301\) 6.68998 + 3.86246i 0.385604 + 0.222628i
\(302\) 16.7492 29.0104i 0.963806 1.66936i
\(303\) −23.2989 + 20.7391i −1.33849 + 1.19143i
\(304\) −19.5989 + 11.3154i −1.12407 + 0.648984i
\(305\) 3.73095i 0.213634i
\(306\) 2.76804 3.71995i 0.158238 0.212655i
\(307\) 20.5855i 1.17488i 0.809268 + 0.587439i \(0.199864\pi\)
−0.809268 + 0.587439i \(0.800136\pi\)
\(308\) −5.74936 9.95819i −0.327600 0.567421i
\(309\) −0.666186 0.220663i −0.0378980 0.0125531i
\(310\) −13.4219 7.74915i −0.762314 0.440122i
\(311\) −11.5579 + 20.0188i −0.655386 + 1.13516i 0.326411 + 0.945228i \(0.394161\pi\)
−0.981797 + 0.189933i \(0.939173\pi\)
\(312\) −29.7933 25.5879i −1.68671 1.44863i
\(313\) −7.44844 12.9011i −0.421011 0.729212i 0.575028 0.818134i \(-0.304991\pi\)
−0.996039 + 0.0889216i \(0.971658\pi\)
\(314\) 8.87672i 0.500942i
\(315\) −1.86447 + 0.804773i −0.105051 + 0.0453438i
\(316\) −22.0841 −1.24232
\(317\) 5.64495 3.25911i 0.317052 0.183050i −0.333026 0.942918i \(-0.608070\pi\)
0.650078 + 0.759868i \(0.274736\pi\)
\(318\) 8.09277 + 9.09162i 0.453820 + 0.509833i
\(319\) 26.0620 + 15.0469i 1.45919 + 0.842465i
\(320\) −0.388823 0.224487i −0.0217359 0.0125492i
\(321\) −1.38539 6.70546i −0.0773248 0.374262i
\(322\) 4.16655 + 7.21668i 0.232193 + 0.402170i
\(323\) 1.94897i 0.108444i
\(324\) −11.5613 38.5516i −0.642296 2.14175i
\(325\) −1.36996 + 3.33515i −0.0759915 + 0.185001i
\(326\) −3.10022 5.36973i −0.171705 0.297402i
\(327\) −25.7840 + 5.32713i −1.42586 + 0.294591i
\(328\) −11.7958 + 20.4309i −0.651312 + 1.12811i
\(329\) −2.87982 + 4.98800i −0.158770 + 0.274997i
\(330\) −11.1286 12.5022i −0.612612 0.688223i
\(331\) 7.20428 4.15939i 0.395983 0.228621i −0.288766 0.957400i \(-0.593245\pi\)
0.684749 + 0.728779i \(0.259912\pi\)
\(332\) 52.6163i 2.88769i
\(333\) 3.30000 + 7.64532i 0.180839 + 0.418961i
\(334\) 9.92937 0.543311
\(335\) −1.68849 2.92456i −0.0922523 0.159786i
\(336\) −2.60074 + 7.85168i −0.141882 + 0.428344i
\(337\) 1.36437 2.36316i 0.0743219 0.128729i −0.826469 0.562982i \(-0.809654\pi\)
0.900791 + 0.434253i \(0.142987\pi\)
\(338\) −8.74795 31.8942i −0.475826 1.73481i
\(339\) −14.7515 4.88619i −0.801192 0.265382i
\(340\) −2.35294 + 1.35847i −0.127606 + 0.0736733i
\(341\) 23.1410 1.25316
\(342\) −19.6419 14.6156i −1.06211 0.790323i
\(343\) 9.16661i 0.494950i
\(344\) 62.1520 35.8835i 3.35101 1.93471i
\(345\) 5.57265 + 6.26046i 0.300022 + 0.337052i
\(346\) −52.9497 30.5705i −2.84660 1.64348i
\(347\) −14.6740 + 25.4161i −0.787742 + 1.36441i 0.139605 + 0.990207i \(0.455417\pi\)
−0.927347 + 0.374202i \(0.877917\pi\)
\(348\) −12.4161 60.0957i −0.665575 3.22147i
\(349\) 19.9745 11.5323i 1.06921 0.617309i 0.141245 0.989975i \(-0.454889\pi\)
0.927966 + 0.372665i \(0.121556\pi\)
\(350\) 1.72207 0.0920486
\(351\) 5.57470 17.8864i 0.297555 0.954705i
\(352\) −20.3967 −1.08715
\(353\) 2.12425 1.22644i 0.113062 0.0652766i −0.442402 0.896817i \(-0.645874\pi\)
0.555465 + 0.831540i \(0.312540\pi\)
\(354\) 2.38129 + 11.5258i 0.126564 + 0.612587i
\(355\) −4.93837 + 8.55350i −0.262101 + 0.453973i
\(356\) −64.0979 37.0070i −3.39718 1.96136i
\(357\) −0.473608 0.532063i −0.0250660 0.0281597i
\(358\) −4.82518 + 2.78582i −0.255019 + 0.147235i
\(359\) 25.3421i 1.33750i 0.743486 + 0.668751i \(0.233171\pi\)
−0.743486 + 0.668751i \(0.766829\pi\)
\(360\) −2.18583 + 18.7392i −0.115203 + 0.987641i
\(361\) 8.70916 0.458377
\(362\) −36.8927 + 21.3000i −1.93904 + 1.11951i
\(363\) 5.63788 + 1.86745i 0.295912 + 0.0980159i
\(364\) −8.63943 + 6.66984i −0.452829 + 0.349595i
\(365\) 5.58274 9.66960i 0.292214 0.506130i
\(366\) −5.16925 + 15.6061i −0.270201 + 0.815742i
\(367\) −6.18953 10.7206i −0.323091 0.559609i 0.658033 0.752989i \(-0.271389\pi\)
−0.981124 + 0.193379i \(0.938055\pi\)
\(368\) 34.1375 1.77954
\(369\) −11.1784 1.30390i −0.581923 0.0678784i
\(370\) 7.06142i 0.367106i
\(371\) 1.61933 0.934921i 0.0840715 0.0485387i
\(372\) −31.3741 35.2465i −1.62667 1.82745i
\(373\) −13.6097 + 23.5726i −0.704681 + 1.22054i 0.262125 + 0.965034i \(0.415577\pi\)
−0.966806 + 0.255510i \(0.917757\pi\)
\(374\) 2.93552 5.08448i 0.151792 0.262912i
\(375\) 1.69623 0.350451i 0.0875928 0.0180972i
\(376\) 26.7545 + 46.3401i 1.37976 + 2.38981i
\(377\) 10.8534 26.4226i 0.558979 1.36083i
\(378\) −8.91382 + 0.783026i −0.458478 + 0.0402745i
\(379\) 5.72921i 0.294290i −0.989115 0.147145i \(-0.952992\pi\)
0.989115 0.147145i \(-0.0470083\pi\)
\(380\) 7.17291 + 12.4238i 0.367962 + 0.637330i
\(381\) −4.28035 20.7175i −0.219289 1.06139i
\(382\) 47.6882 + 27.5328i 2.43994 + 1.40870i
\(383\) 0.496892 + 0.286881i 0.0253900 + 0.0146589i 0.512641 0.858603i \(-0.328667\pi\)
−0.487251 + 0.873262i \(0.662000\pi\)
\(384\) −13.6828 15.3716i −0.698246 0.784427i
\(385\) −2.22680 + 1.28564i −0.113488 + 0.0655224i
\(386\) −7.78577 −0.396285
\(387\) 27.4663 + 20.4378i 1.39619 + 1.03891i
\(388\) 23.1364i 1.17457i
\(389\) 12.0269 + 20.8311i 0.609786 + 1.05618i 0.991275 + 0.131807i \(0.0420780\pi\)
−0.381489 + 0.924373i \(0.624589\pi\)
\(390\) −10.3512 + 12.0524i −0.524153 + 0.610296i
\(391\) −1.46996 + 2.54605i −0.0743391 + 0.128759i
\(392\) −35.6279 20.5698i −1.79948 1.03893i
\(393\) 28.6694 + 9.49628i 1.44618 + 0.479024i
\(394\) 24.5212 + 42.4720i 1.23536 + 2.13971i
\(395\) 4.93832i 0.248474i
\(396\) −20.1956 46.7885i −1.01487 2.35121i
\(397\) 8.67254i 0.435262i −0.976031 0.217631i \(-0.930167\pi\)
0.976031 0.217631i \(-0.0698330\pi\)
\(398\) 0.433133 0.250070i 0.0217110 0.0125349i
\(399\) −2.80937 + 2.50072i −0.140644 + 0.125192i
\(400\) 3.52732 6.10950i 0.176366 0.305475i
\(401\) 0.00995431 + 0.00574712i 0.000497095 + 0.000286998i 0.500249 0.865882i \(-0.333242\pi\)
−0.499751 + 0.866169i \(0.666575\pi\)
\(402\) −3.01075 14.5724i −0.150163 0.726807i
\(403\) −2.93126 21.7688i −0.146016 1.08438i
\(404\) 80.5349 4.00676
\(405\) −8.62069 + 2.58528i −0.428366 + 0.128464i
\(406\) −13.6430 −0.677093
\(407\) 5.27183 + 9.13107i 0.261315 + 0.452610i
\(408\) −6.48078 + 1.33897i −0.320846 + 0.0662887i
\(409\) 26.5614 + 15.3352i 1.31338 + 0.758279i 0.982654 0.185449i \(-0.0593738\pi\)
0.330724 + 0.943728i \(0.392707\pi\)
\(410\) 8.26497 + 4.77179i 0.408178 + 0.235662i
\(411\) −14.0874 15.8261i −0.694879 0.780644i
\(412\) 0.905963 + 1.56917i 0.0446336 + 0.0773077i
\(413\) 1.80801 0.0889662
\(414\) 14.6357 + 33.9076i 0.719308 + 1.66647i
\(415\) 11.7658 0.577559
\(416\) 2.58363 + 19.1872i 0.126673 + 0.940731i
\(417\) −8.53661 2.82761i −0.418040 0.138469i
\(418\) −26.8468 15.5000i −1.31312 0.758129i
\(419\) 11.3914 19.7304i 0.556505 0.963895i −0.441280 0.897370i \(-0.645475\pi\)
0.997785 0.0665255i \(-0.0211914\pi\)
\(420\) 4.97723 + 1.64862i 0.242864 + 0.0804446i
\(421\) −15.2034 + 8.77766i −0.740966 + 0.427797i −0.822421 0.568880i \(-0.807377\pi\)
0.0814542 + 0.996677i \(0.474044\pi\)
\(422\) 53.8177i 2.61980i
\(423\) −15.2383 + 20.4787i −0.740912 + 0.995706i
\(424\) 17.3714i 0.843632i
\(425\) 0.303773 + 0.526151i 0.0147352 + 0.0255221i
\(426\) −32.5074 + 28.9360i −1.57499 + 1.40195i
\(427\) 2.18717 + 1.26276i 0.105845 + 0.0611095i
\(428\) −8.83923 + 15.3100i −0.427260 + 0.740037i
\(429\) 4.38713 23.3127i 0.211813 1.12555i
\(430\) −14.5161 25.1426i −0.700028 1.21248i
\(431\) 1.01234i 0.0487625i 0.999703 + 0.0243813i \(0.00776157\pi\)
−0.999703 + 0.0243813i \(0.992238\pi\)
\(432\) −15.4802 + 33.2280i −0.744792 + 1.59868i
\(433\) −10.0230 −0.481676 −0.240838 0.970565i \(-0.577422\pi\)
−0.240838 + 0.970565i \(0.577422\pi\)
\(434\) −9.08547 + 5.24550i −0.436117 + 0.251792i
\(435\) −13.4383 + 2.77643i −0.644316 + 0.133120i
\(436\) 58.8704 + 33.9888i 2.81938 + 1.62777i
\(437\) 13.4435 + 7.76160i 0.643089 + 0.371288i
\(438\) 36.7491 32.7117i 1.75594 1.56302i
\(439\) 20.6121 + 35.7012i 0.983762 + 1.70393i 0.647313 + 0.762224i \(0.275893\pi\)
0.336449 + 0.941702i \(0.390774\pi\)
\(440\) 23.8881i 1.13882i
\(441\) 2.27378 19.4932i 0.108275 0.928248i
\(442\) −5.15482 2.11741i −0.245190 0.100715i
\(443\) −1.58945 2.75302i −0.0755173 0.130800i 0.825794 0.563972i \(-0.190727\pi\)
−0.901311 + 0.433172i \(0.857394\pi\)
\(444\) 6.76025 20.4093i 0.320827 0.968583i
\(445\) −8.27529 + 14.3332i −0.392287 + 0.679460i
\(446\) 25.1871 43.6253i 1.19264 2.06572i
\(447\) 5.09454 15.3805i 0.240964 0.727474i
\(448\) −0.263199 + 0.151958i −0.0124350 + 0.00717934i
\(449\) 14.5997i 0.689001i −0.938786 0.344500i \(-0.888048\pi\)
0.938786 0.344500i \(-0.111952\pi\)
\(450\) 7.58063 + 0.884242i 0.357354 + 0.0416836i
\(451\) −14.2498 −0.670998
\(452\) 20.0610 + 34.7466i 0.943588 + 1.63434i
\(453\) −15.1639 17.0355i −0.712462 0.800397i
\(454\) 0.771584 1.33642i 0.0362122 0.0627214i
\(455\) 1.49147 + 1.93190i 0.0699213 + 0.0905690i
\(456\) 7.06994 + 34.2194i 0.331080 + 1.60247i
\(457\) 7.43635 4.29338i 0.347858 0.200836i −0.315884 0.948798i \(-0.602301\pi\)
0.663741 + 0.747962i \(0.268968\pi\)
\(458\) 58.5972 2.73807
\(459\) −1.81164 2.58535i −0.0845600 0.120674i
\(460\) 21.6399i 1.00897i
\(461\) −7.22786 + 4.17301i −0.336635 + 0.194356i −0.658783 0.752333i \(-0.728928\pi\)
0.322148 + 0.946689i \(0.395595\pi\)
\(462\) −11.0956 + 2.29243i −0.516216 + 0.106653i
\(463\) −18.6874 10.7892i −0.868479 0.501417i −0.00163665 0.999999i \(-0.500521\pi\)
−0.866843 + 0.498582i \(0.833854\pi\)
\(464\) −27.9451 + 48.4023i −1.29732 + 2.24702i
\(465\) −7.88163 + 7.01572i −0.365502 + 0.325346i
\(466\) 39.8192 22.9897i 1.84459 1.06498i
\(467\) 11.1741 0.517078 0.258539 0.966001i \(-0.416759\pi\)
0.258539 + 0.966001i \(0.416759\pi\)
\(468\) −41.4559 + 24.9248i −1.91630 + 1.15215i
\(469\) −2.28593 −0.105554
\(470\) 18.7462 10.8231i 0.864696 0.499232i
\(471\) −5.73705 1.90030i −0.264349 0.0875613i
\(472\) 8.39848 14.5466i 0.386572 0.669562i
\(473\) 37.5413 + 21.6745i 1.72615 + 0.996593i
\(474\) −6.84205 + 20.6563i −0.314266 + 0.948775i
\(475\) 2.77815 1.60397i 0.127470 0.0735951i
\(476\) 1.83913i 0.0842963i
\(477\) 7.60842 3.28407i 0.348365 0.150367i
\(478\) −21.6234 −0.989031
\(479\) 14.9034 8.60450i 0.680955 0.393150i −0.119260 0.992863i \(-0.538052\pi\)
0.800215 + 0.599713i \(0.204719\pi\)
\(480\) 6.94693 6.18370i 0.317082 0.282246i
\(481\) 7.92184 6.11585i 0.361205 0.278859i
\(482\) 18.1508 31.4380i 0.826744 1.43196i
\(483\) 5.55613 1.14793i 0.252813 0.0522326i
\(484\) −7.66709 13.2798i −0.348504 0.603627i
\(485\) 5.17364 0.234923
\(486\) −39.6411 1.13012i −1.79816 0.0512632i
\(487\) 11.0744i 0.501829i −0.968009 0.250915i \(-0.919269\pi\)
0.968009 0.250915i \(-0.0807314\pi\)
\(488\) 20.3195 11.7315i 0.919823 0.531060i
\(489\) −4.13416 + 0.854142i −0.186953 + 0.0386257i
\(490\) −8.32118 + 14.4127i −0.375913 + 0.651100i
\(491\) −10.5950 + 18.3511i −0.478147 + 0.828174i −0.999686 0.0250528i \(-0.992025\pi\)
0.521539 + 0.853227i \(0.325358\pi\)
\(492\) 19.3196 + 21.7041i 0.870996 + 0.978498i
\(493\) −2.40663 4.16841i −0.108389 0.187736i
\(494\) −11.1802 + 27.2182i −0.503022 + 1.22460i
\(495\) −10.4626 + 4.51604i −0.470259 + 0.202981i
\(496\) 42.9775i 1.92975i
\(497\) 3.34284 + 5.78997i 0.149947 + 0.259716i
\(498\) 49.2146 + 16.3015i 2.20536 + 0.730488i
\(499\) −14.4857 8.36330i −0.648467 0.374393i 0.139402 0.990236i \(-0.455482\pi\)
−0.787869 + 0.615843i \(0.788815\pi\)
\(500\) −3.87285 2.23599i −0.173199 0.0999965i
\(501\) 2.12565 6.41738i 0.0949671 0.286708i
\(502\) 54.6743 31.5662i 2.44023 1.40887i
\(503\) −16.8199 −0.749962 −0.374981 0.927033i \(-0.622351\pi\)
−0.374981 + 0.927033i \(0.622351\pi\)
\(504\) 10.2455 + 7.62377i 0.456372 + 0.339590i
\(505\) 18.0088i 0.801381i
\(506\) 23.3809 + 40.4970i 1.03941 + 1.80031i
\(507\) −22.4860 1.17398i −0.998640 0.0521385i
\(508\) −27.3101 + 47.3024i −1.21169 + 2.09870i
\(509\) −24.2677 14.0110i −1.07565 0.621025i −0.145928 0.989295i \(-0.546617\pi\)
−0.929719 + 0.368270i \(0.879950\pi\)
\(510\) 0.541658 + 2.62169i 0.0239850 + 0.116091i
\(511\) −3.77903 6.54547i −0.167174 0.289555i
\(512\) 50.8490i 2.24723i
\(513\) −13.6510 + 9.56571i −0.602707 + 0.422337i
\(514\) 27.3121i 1.20469i
\(515\) 0.350890 0.202587i 0.0154621 0.00892703i
\(516\) −17.8850 86.5655i −0.787341 3.81083i
\(517\) −16.1603 + 27.9905i −0.710731 + 1.23102i
\(518\) −4.13957 2.38998i −0.181882 0.105010i
\(519\) −31.0932 + 27.6771i −1.36484 + 1.21489i
\(520\) 22.4716 3.02588i 0.985443 0.132694i
\(521\) −26.2509 −1.15007 −0.575037 0.818127i \(-0.695012\pi\)
−0.575037 + 0.818127i \(0.695012\pi\)
\(522\) −60.0572 7.00537i −2.62863 0.306617i
\(523\) −2.41985 −0.105812 −0.0529062 0.998599i \(-0.516848\pi\)
−0.0529062 + 0.998599i \(0.516848\pi\)
\(524\) −38.9883 67.5297i −1.70321 2.95005i
\(525\) 0.368656 1.11298i 0.0160895 0.0485744i
\(526\) −27.9474 16.1355i −1.21857 0.703540i
\(527\) −3.20535 1.85061i −0.139627 0.0806139i
\(528\) −14.5942 + 44.0603i −0.635133 + 1.91748i
\(529\) −0.207971 0.360217i −0.00904223 0.0156616i
\(530\) −7.02734 −0.305248
\(531\) 7.95892 + 0.928367i 0.345388 + 0.0402877i
\(532\) 9.71087 0.421019
\(533\) 1.80501 + 13.4049i 0.0781838 + 0.580629i
\(534\) −54.4731 + 48.4885i −2.35728 + 2.09830i
\(535\) 3.42354 + 1.97658i 0.148013 + 0.0854551i
\(536\) −10.6185 + 18.3918i −0.458650 + 0.794404i
\(537\) 0.767522 + 3.71491i 0.0331210 + 0.160310i
\(538\) −64.2283 + 37.0822i −2.76908 + 1.59873i
\(539\) 24.8493i 1.07033i
\(540\) 21.0634 + 9.81299i 0.906425 + 0.422284i
\(541\) 19.8249i 0.852339i 0.904643 + 0.426169i \(0.140137\pi\)
−0.904643 + 0.426169i \(0.859863\pi\)
\(542\) −33.8258 58.5880i −1.45294 2.51657i
\(543\) 5.86838 + 28.4037i 0.251836 + 1.21892i
\(544\) 2.82522 + 1.63114i 0.121130 + 0.0699347i
\(545\) 7.60040 13.1643i 0.325565 0.563895i
\(546\) 3.56197 + 10.1473i 0.152438 + 0.434265i
\(547\) −15.9204 27.5749i −0.680706 1.17902i −0.974766 0.223230i \(-0.928340\pi\)
0.294060 0.955787i \(-0.404994\pi\)
\(548\) 54.7046i 2.33686i
\(549\) 8.97962 + 6.68180i 0.383241 + 0.285172i
\(550\) 9.66353 0.412054
\(551\) −22.0098 + 12.7074i −0.937649 + 0.541352i
\(552\) 16.5733 50.0350i 0.705406 2.12963i
\(553\) 2.89496 + 1.67140i 0.123106 + 0.0710753i
\(554\) −4.00660 2.31321i −0.170224 0.0982790i
\(555\) −4.56382 1.51169i −0.193723 0.0641677i
\(556\) 11.6092 + 20.1076i 0.492338 + 0.852754i
\(557\) 2.96054i 0.125442i 0.998031 + 0.0627210i \(0.0199778\pi\)
−0.998031 + 0.0627210i \(0.980022\pi\)
\(558\) −42.6881 + 18.4257i −1.80713 + 0.780024i
\(559\) 15.6339 38.0607i 0.661244 1.60980i
\(560\) −2.38769 4.13560i −0.100898 0.174761i
\(561\) −2.65768 2.98571i −0.112207 0.126057i
\(562\) 25.8586 44.7883i 1.09078 1.88928i
\(563\) −20.3611 + 35.2664i −0.858117 + 1.48630i 0.0156058 + 0.999878i \(0.495032\pi\)
−0.873723 + 0.486424i \(0.838301\pi\)
\(564\) 64.5427 13.3349i 2.71774 0.561501i
\(565\) 7.76985 4.48592i 0.326880 0.188724i
\(566\) 8.76056i 0.368234i
\(567\) −1.40217 + 5.92866i −0.0588858 + 0.248980i
\(568\) 62.1122 2.60617
\(569\) −8.27447 14.3318i −0.346884 0.600821i 0.638810 0.769364i \(-0.279427\pi\)
−0.985694 + 0.168544i \(0.946094\pi\)
\(570\) 13.8429 2.86003i 0.579816 0.119794i
\(571\) 18.2882 31.6762i 0.765339 1.32561i −0.174728 0.984617i \(-0.555905\pi\)
0.940067 0.340990i \(-0.110762\pi\)
\(572\) −48.4808 + 37.4283i −2.02708 + 1.56496i
\(573\) 28.0035 24.9269i 1.16986 1.04134i
\(574\) 5.59467 3.23008i 0.233517 0.134821i
\(575\) −4.83900 −0.201800
\(576\) −1.23664 + 0.533779i −0.0515266 + 0.0222408i
\(577\) 31.6106i 1.31596i −0.753033 0.657982i \(-0.771410\pi\)
0.753033 0.657982i \(-0.228590\pi\)
\(578\) 36.6408 21.1546i 1.52406 0.879914i
\(579\) −1.66676 + 5.03197i −0.0692680 + 0.209121i
\(580\) 30.6825 + 17.7145i 1.27402 + 0.735556i
\(581\) 3.98220 6.89737i 0.165209 0.286151i
\(582\) 21.6406 + 7.16809i 0.897031 + 0.297127i
\(583\) 9.08699 5.24638i 0.376345 0.217283i
\(584\) −70.2169 −2.90559
\(585\) 5.57354 + 9.27015i 0.230438 + 0.383273i
\(586\) −79.8706 −3.29942
\(587\) 2.34354 1.35304i 0.0967283 0.0558461i −0.450856 0.892597i \(-0.648881\pi\)
0.547584 + 0.836751i \(0.315548\pi\)
\(588\) −37.8483 + 33.6901i −1.56084 + 1.38936i
\(589\) −9.77150 + 16.9247i −0.402628 + 0.697371i
\(590\) −5.88459 3.39747i −0.242265 0.139872i
\(591\) 32.6992 6.75585i 1.34507 0.277899i
\(592\) −16.9582 + 9.79082i −0.696978 + 0.402400i
\(593\) 29.8580i 1.22612i −0.790036 0.613060i \(-0.789938\pi\)
0.790036 0.613060i \(-0.210062\pi\)
\(594\) −50.0206 + 4.39401i −2.05237 + 0.180288i
\(595\) 0.411256 0.0168599
\(596\) −36.2282 + 20.9164i −1.48396 + 0.856768i
\(597\) −0.0688968 0.333470i −0.00281976 0.0136480i
\(598\) 35.1340 27.1242i 1.43673 1.10919i
\(599\) 8.09772 14.0257i 0.330864 0.573073i −0.651818 0.758376i \(-0.725993\pi\)
0.982681 + 0.185303i \(0.0593266\pi\)
\(600\) −7.24219 8.13606i −0.295661 0.332153i
\(601\) −24.3153 42.1154i −0.991843 1.71792i −0.606313 0.795226i \(-0.707352\pi\)
−0.385530 0.922695i \(-0.625981\pi\)
\(602\) −19.6523 −0.800966
\(603\) −10.0627 1.17377i −0.409787 0.0477995i
\(604\) 58.8849i 2.39599i
\(605\) −2.96956 + 1.71447i −0.120730 + 0.0697033i
\(606\) 24.9512 75.3282i 1.01357 3.06000i
\(607\) −13.0014 + 22.5191i −0.527710 + 0.914021i 0.471768 + 0.881723i \(0.343616\pi\)
−0.999478 + 0.0322985i \(0.989717\pi\)
\(608\) 8.61267 14.9176i 0.349290 0.604988i
\(609\) −2.92066 + 8.81754i −0.118351 + 0.357305i
\(610\) −4.74579 8.21995i −0.192151 0.332816i
\(611\) 28.3778 + 11.6565i 1.14804 + 0.471573i
\(612\) −0.944348 + 8.09592i −0.0381730 + 0.327258i
\(613\) 37.1209i 1.49930i −0.661834 0.749650i \(-0.730222\pi\)
0.661834 0.749650i \(-0.269778\pi\)
\(614\) −26.1849 45.3536i −1.05674 1.83032i
\(615\) 4.85336 4.32015i 0.195706 0.174205i
\(616\) 14.0037 + 8.08507i 0.564227 + 0.325757i
\(617\) 4.76857 + 2.75313i 0.191975 + 0.110837i 0.592907 0.805271i \(-0.297980\pi\)
−0.400932 + 0.916108i \(0.631314\pi\)
\(618\) 1.74841 0.361232i 0.0703314 0.0145309i
\(619\) 14.9154 8.61139i 0.599499 0.346121i −0.169345 0.985557i \(-0.554165\pi\)
0.768845 + 0.639436i \(0.220832\pi\)
\(620\) 27.2437 1.09413
\(621\) 25.0477 2.20029i 1.00513 0.0882948i
\(622\) 58.8066i 2.35793i
\(623\) 5.60165 + 9.70235i 0.224425 + 0.388716i
\(624\) 43.2963 + 8.14776i 1.73324 + 0.326172i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 32.8205 + 18.9489i 1.31177 + 0.757351i
\(627\) −15.7650 + 14.0330i −0.629592 + 0.560422i
\(628\) 7.80196 + 13.5134i 0.311332 + 0.539243i
\(629\) 1.68637i 0.0672400i
\(630\) 3.08408 4.14467i 0.122873 0.165127i
\(631\) 26.4212i 1.05181i 0.850543 + 0.525905i \(0.176273\pi\)
−0.850543 + 0.525905i \(0.823727\pi\)
\(632\) 26.8951 15.5279i 1.06983 0.617666i
\(633\) 34.7825 + 11.5211i 1.38248 + 0.457924i
\(634\) −8.29121 + 14.3608i −0.329286 + 0.570340i
\(635\) 10.5775 + 6.10693i 0.419756 + 0.242346i
\(636\) −20.3108 6.72761i −0.805375 0.266767i
\(637\) −23.3758 + 3.14764i −0.926182 + 0.124714i
\(638\) −76.5589 −3.03100
\(639\) 11.7423 + 27.2042i 0.464519 + 1.07618i
\(640\) 11.8814 0.469654
\(641\) 15.8245 + 27.4089i 0.625031 + 1.08258i 0.988535 + 0.150992i \(0.0482469\pi\)
−0.363504 + 0.931593i \(0.618420\pi\)
\(642\) 11.5816 + 13.0111i 0.457090 + 0.513507i
\(643\) −2.52194 1.45605i −0.0994558 0.0574208i 0.449447 0.893307i \(-0.351621\pi\)
−0.548903 + 0.835886i \(0.684954\pi\)
\(644\) −12.6858 7.32417i −0.499892 0.288613i
\(645\) −19.3573 + 3.99934i −0.762193 + 0.157474i
\(646\) 2.47910 + 4.29392i 0.0975388 + 0.168942i
\(647\) −26.7669 −1.05232 −0.526158 0.850387i \(-0.676368\pi\)
−0.526158 + 0.850387i \(0.676368\pi\)
\(648\) 41.1866 + 38.8210i 1.61796 + 1.52503i
\(649\) 10.1458 0.398256
\(650\) −1.22407 9.09051i −0.0480120 0.356559i
\(651\) 1.44519 + 6.99491i 0.0566415 + 0.274152i
\(652\) 9.43918 + 5.44971i 0.369667 + 0.213427i
\(653\) 11.5619 20.0259i 0.452454 0.783673i −0.546084 0.837731i \(-0.683882\pi\)
0.998538 + 0.0540572i \(0.0172153\pi\)
\(654\) 50.0305 44.5339i 1.95635 1.74141i
\(655\) −15.1006 + 8.71835i −0.590031 + 0.340654i
\(656\) 26.4647i 1.03327i
\(657\) −13.2745 30.7539i −0.517888 1.19982i
\(658\) 14.6526i 0.571217i
\(659\) −6.08359 10.5371i −0.236983 0.410467i 0.722864 0.690990i \(-0.242825\pi\)
−0.959847 + 0.280524i \(0.909492\pi\)
\(660\) 27.9301 + 9.25137i 1.08718 + 0.360109i
\(661\) −0.348155 0.201008i −0.0135417 0.00781829i 0.493214 0.869908i \(-0.335822\pi\)
−0.506756 + 0.862090i \(0.669155\pi\)
\(662\) −10.5815 + 18.3278i −0.411263 + 0.712328i
\(663\) −2.47202 + 2.87829i −0.0960052 + 0.111783i
\(664\) −36.9959 64.0788i −1.43572 2.48674i
\(665\) 2.17149i 0.0842068i
\(666\) −16.9954 12.6464i −0.658557 0.490037i
\(667\) 38.3368 1.48441
\(668\) −15.1159 + 8.72716i −0.584851 + 0.337664i
\(669\) −22.8032 25.6176i −0.881621 0.990436i
\(670\) 7.44010 + 4.29555i 0.287436 + 0.165951i
\(671\) 12.2735 + 7.08610i 0.473812 + 0.273556i
\(672\) −1.27380 6.16536i −0.0491379 0.237834i
\(673\) −14.4416 25.0137i −0.556685 0.964206i −0.997770 0.0667411i \(-0.978740\pi\)
0.441086 0.897465i \(-0.354593\pi\)
\(674\) 6.94193i 0.267393i
\(675\) 2.19433 4.71009i 0.0844597 0.181291i
\(676\) 41.3499 + 40.8650i 1.59038 + 1.57173i
\(677\) 9.71809 + 16.8322i 0.373496 + 0.646915i 0.990101 0.140358i \(-0.0448255\pi\)
−0.616604 + 0.787273i \(0.711492\pi\)
\(678\) 38.7154 7.99884i 1.48686 0.307194i
\(679\) 1.75105 3.03291i 0.0671991 0.116392i
\(680\) 1.91035 3.30883i 0.0732586 0.126888i
\(681\) −0.698555 0.784775i −0.0267687 0.0300726i
\(682\) −50.9838 + 29.4355i −1.95227 + 1.12714i
\(683\) 17.6204i 0.674225i 0.941464 + 0.337112i \(0.109450\pi\)
−0.941464 + 0.337112i \(0.890550\pi\)
\(684\) 42.7476 + 4.98629i 1.63450 + 0.190656i
\(685\) 12.2327 0.467389
\(686\) 11.6600 + 20.1957i 0.445180 + 0.771074i
\(687\) 12.5443 37.8715i 0.478596 1.44489i
\(688\) −40.2538 + 69.7216i −1.53466 + 2.65811i
\(689\) −6.08632 7.88360i −0.231870 0.300341i
\(690\) −20.2409 6.70445i −0.770557 0.255234i
\(691\) 13.8877 8.01809i 0.528315 0.305023i −0.212015 0.977266i \(-0.568003\pi\)
0.740330 + 0.672244i \(0.234669\pi\)
\(692\) 107.477 4.08565
\(693\) −0.893722 + 7.66190i −0.0339497 + 0.291052i
\(694\) 74.6616i 2.83412i
\(695\) 4.49636 2.59598i 0.170557 0.0984710i
\(696\) 57.3759 + 64.4576i 2.17483 + 2.44326i
\(697\) 1.97380 + 1.13957i 0.0747629 + 0.0431644i
\(698\) −29.3382 + 50.8153i −1.11047 + 1.92339i
\(699\) −6.33389 30.6569i −0.239570 1.15955i
\(700\) −2.62158 + 1.51357i −0.0990864 + 0.0572076i
\(701\) 3.23764 0.122284 0.0611420 0.998129i \(-0.480526\pi\)
0.0611420 + 0.998129i \(0.480526\pi\)
\(702\) 10.4695 + 46.4979i 0.395147 + 1.75495i
\(703\) −8.90429 −0.335832
\(704\) −1.47696 + 0.852724i −0.0556651 + 0.0321382i
\(705\) −2.98188 14.4327i −0.112304 0.543566i
\(706\) −3.12006 + 5.40411i −0.117425 + 0.203386i
\(707\) −10.5572 6.09519i −0.397043 0.229233i
\(708\) −13.7554 15.4532i −0.516960 0.580766i
\(709\) 10.8929 6.28902i 0.409091 0.236189i −0.281308 0.959618i \(-0.590768\pi\)
0.690399 + 0.723429i \(0.257435\pi\)
\(710\) 25.1265i 0.942981i
\(711\) 11.8855 + 8.84408i 0.445741 + 0.331679i
\(712\) 104.082 3.90065
\(713\) 25.5301 14.7398i 0.956109 0.552010i
\(714\) 1.72023 + 0.569797i 0.0643779 + 0.0213241i
\(715\) 8.36951 + 10.8410i 0.313002 + 0.405431i
\(716\) 4.89705 8.48193i 0.183011 0.316985i
\(717\) −4.62907 + 13.9753i −0.172876 + 0.521916i
\(718\) −32.2352 55.8330i −1.20301 2.08367i
\(719\) −22.2780 −0.830831 −0.415415 0.909632i \(-0.636364\pi\)
−0.415415 + 0.909632i \(0.636364\pi\)
\(720\) −8.38718 19.4311i −0.312572 0.724154i
\(721\) 0.274267i 0.0102142i
\(722\) −19.1878 + 11.0781i −0.714096 + 0.412284i
\(723\) −16.4328 18.4611i −0.611144 0.686574i
\(724\) 37.4422 64.8518i 1.39153 2.41020i
\(725\) 3.96123 6.86105i 0.147116 0.254813i
\(726\) −14.7966 + 3.05707i −0.549155 + 0.113459i
\(727\) −3.64784 6.31824i −0.135291 0.234331i 0.790418 0.612568i \(-0.209864\pi\)
−0.925709 + 0.378238i \(0.876530\pi\)
\(728\) 5.83180 14.1975i 0.216141 0.526194i
\(729\) −9.21665 + 25.3782i −0.341357 + 0.939934i
\(730\) 28.4051i 1.05132i
\(731\) −3.46666 6.00443i −0.128219 0.222082i
\(732\) −5.84718 28.3011i −0.216118 1.04604i
\(733\) 20.2232 + 11.6758i 0.746960 + 0.431257i 0.824594 0.565725i \(-0.191403\pi\)
−0.0776347 + 0.996982i \(0.524737\pi\)
\(734\) 27.2732 + 15.7462i 1.00667 + 0.581203i
\(735\) 7.53360 + 8.46344i 0.277881 + 0.312179i
\(736\) −22.5024 + 12.9918i −0.829449 + 0.478883i
\(737\) −12.8276 −0.472513
\(738\) 26.2865 11.3462i 0.967620 0.417660i
\(739\) 13.1702i 0.484474i 0.970217 + 0.242237i \(0.0778811\pi\)
−0.970217 + 0.242237i \(0.922119\pi\)
\(740\) 6.20645 + 10.7499i 0.228154 + 0.395174i
\(741\) 15.1978 + 13.0526i 0.558304 + 0.479500i
\(742\) −2.37845 + 4.11959i −0.0873155 + 0.151235i
\(743\) 22.6663 + 13.0864i 0.831546 + 0.480093i 0.854382 0.519646i \(-0.173936\pi\)
−0.0228357 + 0.999739i \(0.507269\pi\)
\(744\) 62.9918 + 20.8650i 2.30939 + 0.764948i
\(745\) 4.67720 + 8.10115i 0.171359 + 0.296803i
\(746\) 69.2462i 2.53528i
\(747\) 21.0714 28.3177i 0.770963 1.03609i
\(748\) 10.3204i 0.377351i
\(749\) 2.31744 1.33797i 0.0846773 0.0488885i
\(750\) −3.29131 + 2.92971i −0.120182 + 0.106978i
\(751\) −24.8206 + 42.9905i −0.905715 + 1.56875i −0.0857616 + 0.996316i \(0.527332\pi\)
−0.819954 + 0.572430i \(0.806001\pi\)
\(752\) −51.9839 30.0129i −1.89566 1.09446i
\(753\) −8.69683 42.0938i −0.316930 1.53398i
\(754\) 9.69765 + 72.0192i 0.353168 + 2.62278i
\(755\) 13.1675 0.479216
\(756\) 12.8817 9.02660i 0.468501 0.328294i
\(757\) 40.3143 1.46525 0.732624 0.680634i \(-0.238296\pi\)
0.732624 + 0.680634i \(0.238296\pi\)
\(758\) 7.28757 + 12.6224i 0.264697 + 0.458468i
\(759\) 31.1786 6.44169i 1.13171 0.233819i
\(760\) −17.4711 10.0869i −0.633743 0.365891i
\(761\) 27.5453 + 15.9033i 0.998518 + 0.576494i 0.907809 0.419383i \(-0.137754\pi\)
0.0907082 + 0.995878i \(0.471087\pi\)
\(762\) 35.7831 + 40.1996i 1.29628 + 1.45628i
\(763\) −5.14480 8.91106i −0.186254 0.322602i
\(764\) −96.7969 −3.50199
\(765\) 1.81037 + 0.211170i 0.0654539 + 0.00763487i
\(766\) −1.45965 −0.0527394
\(767\) −1.28516 9.54414i −0.0464043 0.344619i
\(768\) 48.2218 + 15.9727i 1.74006 + 0.576365i
\(769\) −28.4535 16.4276i −1.02606 0.592395i −0.110206 0.993909i \(-0.535151\pi\)
−0.915853 + 0.401513i \(0.868484\pi\)
\(770\) 3.27068 5.66499i 0.117867 0.204152i
\(771\) 17.6519 + 5.84691i 0.635718 + 0.210571i
\(772\) 11.8526 6.84310i 0.426584 0.246289i
\(773\) 17.5635i 0.631715i 0.948807 + 0.315858i \(0.102292\pi\)
−0.948807 + 0.315858i \(0.897708\pi\)
\(774\) −86.5100 10.0910i −3.10954 0.362712i
\(775\)