Properties

Label 585.2.bt.b.571.29
Level $585$
Weight $2$
Character 585.571
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 571.29
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.29

$q$-expansion

\(f(q)\) \(=\) \(q+(0.146304 - 0.0844686i) q^{2} +(-0.106608 - 1.72877i) q^{3} +(-0.985730 + 1.70733i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-0.161624 - 0.243920i) q^{6} +(1.65898 - 0.957814i) q^{7} +0.670927i q^{8} +(-2.97727 + 0.368601i) q^{9} +O(q^{10})\) \(q+(0.146304 - 0.0844686i) q^{2} +(-0.106608 - 1.72877i) q^{3} +(-0.985730 + 1.70733i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-0.161624 - 0.243920i) q^{6} +(1.65898 - 0.957814i) q^{7} +0.670927i q^{8} +(-2.97727 + 0.368601i) q^{9} -0.168937 q^{10} +(-3.52392 + 2.03454i) q^{11} +(3.05667 + 1.52208i) q^{12} +(-3.53584 + 0.705562i) q^{13} +(0.161810 - 0.280264i) q^{14} +(-0.772058 + 1.55046i) q^{15} +(-1.91479 - 3.31651i) q^{16} -0.709628 q^{17} +(-0.404451 + 0.305414i) q^{18} -6.45837i q^{19} +(1.70733 - 0.985730i) q^{20} +(-1.83270 - 2.76588i) q^{21} +(-0.343709 + 0.595322i) q^{22} +(-4.18851 + 7.25472i) q^{23} +(1.15988 - 0.0715262i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-0.457710 + 0.401894i) q^{26} +(0.954626 + 5.10771i) q^{27} +3.77659i q^{28} +(3.53514 + 6.12304i) q^{29} +(0.0180101 + 0.292053i) q^{30} +(-4.30244 - 2.48401i) q^{31} +(-1.72236 - 0.994406i) q^{32} +(3.89292 + 5.87515i) q^{33} +(-0.103821 + 0.0599413i) q^{34} -1.91563 q^{35} +(2.30546 - 5.44654i) q^{36} +5.73681i q^{37} +(-0.545529 - 0.944885i) q^{38} +(1.59670 + 6.03743i) q^{39} +(0.335464 - 0.581040i) q^{40} +(-9.47008 - 5.46755i) q^{41} +(-0.501761 - 0.249854i) q^{42} +(-4.35016 - 7.53470i) q^{43} -8.02202i q^{44} +(2.76269 + 1.16942i) q^{45} +1.41519i q^{46} +(-2.97238 + 1.71611i) q^{47} +(-5.52934 + 3.66379i) q^{48} +(-1.66518 + 2.88418i) q^{49} +(0.146304 + 0.0844686i) q^{50} +(0.0756520 + 1.22678i) q^{51} +(2.28076 - 6.73236i) q^{52} +1.83872 q^{53} +(0.571107 + 0.666642i) q^{54} +4.06908 q^{55} +(0.642624 + 1.11306i) q^{56} +(-11.1650 + 0.688514i) q^{57} +(1.03441 + 0.597217i) q^{58} +(8.61560 + 4.97422i) q^{59} +(-1.88611 - 2.84650i) q^{60} +(1.50640 + 2.60916i) q^{61} -0.839285 q^{62} +(-4.58619 + 3.46317i) q^{63} +7.32317 q^{64} +(3.41491 + 1.15689i) q^{65} +(1.06582 + 0.530727i) q^{66} +(3.37333 + 1.94759i) q^{67} +(0.699502 - 1.21157i) q^{68} +(12.9882 + 6.46755i) q^{69} +(-0.280264 + 0.161810i) q^{70} -5.70024i q^{71} +(-0.247304 - 1.99753i) q^{72} -5.79311i q^{73} +(0.484580 + 0.839317i) q^{74} +(1.44385 - 0.956709i) q^{75} +(11.0266 + 6.36621i) q^{76} +(-3.89742 + 6.75053i) q^{77} +(0.743577 + 0.748428i) q^{78} +(-6.92507 - 11.9946i) q^{79} +3.82958i q^{80} +(8.72827 - 2.19485i) q^{81} -1.84735 q^{82} +(-3.02842 + 1.74846i) q^{83} +(6.52884 - 0.402614i) q^{84} +(0.614556 + 0.354814i) q^{85} +(-1.27289 - 0.734904i) q^{86} +(10.2084 - 6.76420i) q^{87} +(-1.36503 - 2.36430i) q^{88} -10.0932i q^{89} +(0.502972 - 0.0622704i) q^{90} +(-5.19011 + 4.55720i) q^{91} +(-8.25749 - 14.3024i) q^{92} +(-3.83561 + 7.70273i) q^{93} +(-0.289914 + 0.502146i) q^{94} +(-3.22918 + 5.59311i) q^{95} +(-1.53548 + 3.08357i) q^{96} +(14.5254 - 8.38627i) q^{97} +0.562623i q^{98} +(9.74174 - 7.35629i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.146304 0.0844686i 0.103452 0.0597283i −0.447381 0.894343i \(-0.647643\pi\)
0.550834 + 0.834615i \(0.314310\pi\)
\(3\) −0.106608 1.72877i −0.0615502 0.998104i
\(4\) −0.985730 + 1.70733i −0.492865 + 0.853667i
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) −0.161624 0.243920i −0.0659826 0.0995801i
\(7\) 1.65898 0.957814i 0.627037 0.362020i −0.152567 0.988293i \(-0.548754\pi\)
0.779604 + 0.626273i \(0.215421\pi\)
\(8\) 0.670927i 0.237209i
\(9\) −2.97727 + 0.368601i −0.992423 + 0.122867i
\(10\) −0.168937 −0.0534226
\(11\) −3.52392 + 2.03454i −1.06250 + 0.613436i −0.926124 0.377220i \(-0.876880\pi\)
−0.136380 + 0.990657i \(0.543547\pi\)
\(12\) 3.05667 + 1.52208i 0.882385 + 0.439387i
\(13\) −3.53584 + 0.705562i −0.980666 + 0.195688i
\(14\) 0.161810 0.280264i 0.0432457 0.0749037i
\(15\) −0.772058 + 1.55046i −0.199345 + 0.400327i
\(16\) −1.91479 3.31651i −0.478697 0.829127i
\(17\) −0.709628 −0.172110 −0.0860550 0.996290i \(-0.527426\pi\)
−0.0860550 + 0.996290i \(0.527426\pi\)
\(18\) −0.404451 + 0.305414i −0.0953300 + 0.0719867i
\(19\) 6.45837i 1.48165i −0.671697 0.740826i \(-0.734435\pi\)
0.671697 0.740826i \(-0.265565\pi\)
\(20\) 1.70733 0.985730i 0.381772 0.220416i
\(21\) −1.83270 2.76588i −0.399928 0.603565i
\(22\) −0.343709 + 0.595322i −0.0732791 + 0.126923i
\(23\) −4.18851 + 7.25472i −0.873365 + 1.51271i −0.0148717 + 0.999889i \(0.504734\pi\)
−0.858494 + 0.512824i \(0.828599\pi\)
\(24\) 1.15988 0.0715262i 0.236759 0.0146002i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) −0.457710 + 0.401894i −0.0897643 + 0.0788179i
\(27\) 0.954626 + 5.10771i 0.183718 + 0.982979i
\(28\) 3.77659i 0.713708i
\(29\) 3.53514 + 6.12304i 0.656459 + 1.13702i 0.981526 + 0.191329i \(0.0612798\pi\)
−0.325067 + 0.945691i \(0.605387\pi\)
\(30\) 0.0180101 + 0.292053i 0.00328817 + 0.0533214i
\(31\) −4.30244 2.48401i −0.772741 0.446142i 0.0611108 0.998131i \(-0.480536\pi\)
−0.833851 + 0.551989i \(0.813869\pi\)
\(32\) −1.72236 0.994406i −0.304474 0.175788i
\(33\) 3.89292 + 5.87515i 0.677671 + 1.02273i
\(34\) −0.103821 + 0.0599413i −0.0178052 + 0.0102798i
\(35\) −1.91563 −0.323800
\(36\) 2.30546 5.44654i 0.384243 0.907756i
\(37\) 5.73681i 0.943125i 0.881833 + 0.471563i \(0.156310\pi\)
−0.881833 + 0.471563i \(0.843690\pi\)
\(38\) −0.545529 0.944885i −0.0884965 0.153281i
\(39\) 1.59670 + 6.03743i 0.255677 + 0.966762i
\(40\) 0.335464 0.581040i 0.0530415 0.0918705i
\(41\) −9.47008 5.46755i −1.47898 0.853888i −0.479261 0.877673i \(-0.659095\pi\)
−0.999717 + 0.0237844i \(0.992428\pi\)
\(42\) −0.501761 0.249854i −0.0774235 0.0385533i
\(43\) −4.35016 7.53470i −0.663393 1.14903i −0.979718 0.200379i \(-0.935782\pi\)
0.316325 0.948651i \(-0.397551\pi\)
\(44\) 8.02202i 1.20937i
\(45\) 2.76269 + 1.16942i 0.411838 + 0.174326i
\(46\) 1.41519i 0.208659i
\(47\) −2.97238 + 1.71611i −0.433567 + 0.250320i −0.700865 0.713294i \(-0.747202\pi\)
0.267298 + 0.963614i \(0.413869\pi\)
\(48\) −5.52934 + 3.66379i −0.798092 + 0.528822i
\(49\) −1.66518 + 2.88418i −0.237883 + 0.412026i
\(50\) 0.146304 + 0.0844686i 0.0206905 + 0.0119457i
\(51\) 0.0756520 + 1.22678i 0.0105934 + 0.171784i
\(52\) 2.28076 6.73236i 0.316284 0.933610i
\(53\) 1.83872 0.252567 0.126283 0.991994i \(-0.459695\pi\)
0.126283 + 0.991994i \(0.459695\pi\)
\(54\) 0.571107 + 0.666642i 0.0777178 + 0.0907185i
\(55\) 4.06908 0.548674
\(56\) 0.642624 + 1.11306i 0.0858742 + 0.148739i
\(57\) −11.1650 + 0.688514i −1.47884 + 0.0911959i
\(58\) 1.03441 + 0.597217i 0.135825 + 0.0784184i
\(59\) 8.61560 + 4.97422i 1.12166 + 0.647588i 0.941823 0.336109i \(-0.109111\pi\)
0.179832 + 0.983697i \(0.442445\pi\)
\(60\) −1.88611 2.84650i −0.243496 0.367481i
\(61\) 1.50640 + 2.60916i 0.192874 + 0.334068i 0.946202 0.323578i \(-0.104886\pi\)
−0.753327 + 0.657646i \(0.771552\pi\)
\(62\) −0.839285 −0.106589
\(63\) −4.58619 + 3.46317i −0.577805 + 0.436319i
\(64\) 7.32317 0.915396
\(65\) 3.41491 + 1.15689i 0.423568 + 0.143494i
\(66\) 1.06582 + 0.530727i 0.131193 + 0.0653280i
\(67\) 3.37333 + 1.94759i 0.412118 + 0.237936i 0.691699 0.722186i \(-0.256862\pi\)
−0.279581 + 0.960122i \(0.590196\pi\)
\(68\) 0.699502 1.21157i 0.0848270 0.146925i
\(69\) 12.9882 + 6.46755i 1.56360 + 0.778602i
\(70\) −0.280264 + 0.161810i −0.0334980 + 0.0193401i
\(71\) 5.70024i 0.676494i −0.941057 0.338247i \(-0.890166\pi\)
0.941057 0.338247i \(-0.109834\pi\)
\(72\) −0.247304 1.99753i −0.0291451 0.235411i
\(73\) 5.79311i 0.678032i −0.940781 0.339016i \(-0.889906\pi\)
0.940781 0.339016i \(-0.110094\pi\)
\(74\) 0.484580 + 0.839317i 0.0563313 + 0.0975687i
\(75\) 1.44385 0.956709i 0.166722 0.110471i
\(76\) 11.0266 + 6.36621i 1.26484 + 0.730254i
\(77\) −3.89742 + 6.75053i −0.444152 + 0.769294i
\(78\) 0.743577 + 0.748428i 0.0841935 + 0.0847428i
\(79\) −6.92507 11.9946i −0.779131 1.34949i −0.932443 0.361317i \(-0.882327\pi\)
0.153312 0.988178i \(-0.451006\pi\)
\(80\) 3.82958i 0.428160i
\(81\) 8.72827 2.19485i 0.969807 0.243872i
\(82\) −1.84735 −0.204005
\(83\) −3.02842 + 1.74846i −0.332412 + 0.191918i −0.656911 0.753968i \(-0.728137\pi\)
0.324499 + 0.945886i \(0.394804\pi\)
\(84\) 6.52884 0.402614i 0.712354 0.0439288i
\(85\) 0.614556 + 0.354814i 0.0666579 + 0.0384850i
\(86\) −1.27289 0.734904i −0.137259 0.0792467i
\(87\) 10.2084 6.76420i 1.09446 0.725198i
\(88\) −1.36503 2.36430i −0.145512 0.252035i
\(89\) 10.0932i 1.06987i −0.844892 0.534937i \(-0.820335\pi\)
0.844892 0.534937i \(-0.179665\pi\)
\(90\) 0.502972 0.0622704i 0.0530179 0.00656388i
\(91\) −5.19011 + 4.55720i −0.544071 + 0.477724i
\(92\) −8.25749 14.3024i −0.860903 1.49113i
\(93\) −3.83561 + 7.70273i −0.397734 + 0.798736i
\(94\) −0.289914 + 0.502146i −0.0299024 + 0.0517924i
\(95\) −3.22918 + 5.59311i −0.331307 + 0.573841i
\(96\) −1.53548 + 3.08357i −0.156714 + 0.314716i
\(97\) 14.5254 8.38627i 1.47484 0.851497i 0.475238 0.879857i \(-0.342362\pi\)
0.999598 + 0.0283603i \(0.00902856\pi\)
\(98\) 0.562623i 0.0568335i
\(99\) 9.74174 7.35629i 0.979082 0.739335i
\(100\) −1.97146 −0.197146
\(101\) −3.49270 6.04953i −0.347536 0.601951i 0.638275 0.769809i \(-0.279648\pi\)
−0.985811 + 0.167858i \(0.946315\pi\)
\(102\) 0.114693 + 0.173093i 0.0113563 + 0.0171387i
\(103\) 7.02176 12.1620i 0.691875 1.19836i −0.279348 0.960190i \(-0.590118\pi\)
0.971223 0.238172i \(-0.0765483\pi\)
\(104\) −0.473381 2.37229i −0.0464188 0.232623i
\(105\) 0.204221 + 3.31167i 0.0199300 + 0.323186i
\(106\) 0.269011 0.155314i 0.0261287 0.0150854i
\(107\) −7.11099 −0.687445 −0.343723 0.939071i \(-0.611688\pi\)
−0.343723 + 0.939071i \(0.611688\pi\)
\(108\) −9.66157 3.40496i −0.929685 0.327642i
\(109\) 14.0348i 1.34429i 0.740420 + 0.672145i \(0.234627\pi\)
−0.740420 + 0.672145i \(0.765373\pi\)
\(110\) 0.595322 0.343709i 0.0567617 0.0327714i
\(111\) 9.91760 0.611590i 0.941337 0.0580495i
\(112\) −6.35320 3.66802i −0.600321 0.346596i
\(113\) −2.53374 + 4.38856i −0.238354 + 0.412841i −0.960242 0.279169i \(-0.909941\pi\)
0.721888 + 0.692010i \(0.243274\pi\)
\(114\) −1.57533 + 1.04383i −0.147543 + 0.0977632i
\(115\) 7.25472 4.18851i 0.676506 0.390581i
\(116\) −13.9388 −1.29418
\(117\) 10.2671 3.40396i 0.949192 0.314696i
\(118\) 1.68066 0.154717
\(119\) −1.17726 + 0.679692i −0.107919 + 0.0623072i
\(120\) −1.04025 0.517995i −0.0949611 0.0472863i
\(121\) 2.77869 4.81284i 0.252609 0.437531i
\(122\) 0.440784 + 0.254487i 0.0399067 + 0.0230401i
\(123\) −8.44254 + 16.9544i −0.761238 + 1.52873i
\(124\) 8.48208 4.89713i 0.761714 0.439776i
\(125\) 1.00000i 0.0894427i
\(126\) −0.378448 + 0.894065i −0.0337148 + 0.0796496i
\(127\) 8.64652 0.767255 0.383627 0.923488i \(-0.374675\pi\)
0.383627 + 0.923488i \(0.374675\pi\)
\(128\) 4.51613 2.60739i 0.399174 0.230463i
\(129\) −12.5620 + 8.32367i −1.10602 + 0.732858i
\(130\) 0.597335 0.119196i 0.0523898 0.0104542i
\(131\) 2.38004 4.12236i 0.207945 0.360172i −0.743122 0.669156i \(-0.766656\pi\)
0.951067 + 0.308984i \(0.0999890\pi\)
\(132\) −13.8682 + 0.855212i −1.20707 + 0.0744366i
\(133\) −6.18592 10.7143i −0.536387 0.929049i
\(134\) 0.658042 0.0568462
\(135\) 1.72712 4.90072i 0.148647 0.421787i
\(136\) 0.476109i 0.0408260i
\(137\) −8.86562 + 5.11857i −0.757441 + 0.437309i −0.828376 0.560172i \(-0.810735\pi\)
0.0709354 + 0.997481i \(0.477402\pi\)
\(138\) 2.44654 0.150871i 0.208263 0.0128430i
\(139\) 5.77777 10.0074i 0.490064 0.848816i −0.509871 0.860251i \(-0.670307\pi\)
0.999935 + 0.0114355i \(0.00364012\pi\)
\(140\) 1.88829 3.27062i 0.159590 0.276418i
\(141\) 3.28363 + 4.95561i 0.276531 + 0.417337i
\(142\) −0.481491 0.833967i −0.0404059 0.0699850i
\(143\) 11.0245 9.68015i 0.921919 0.809495i
\(144\) 6.92331 + 9.16835i 0.576942 + 0.764029i
\(145\) 7.07028i 0.587155i
\(146\) −0.489336 0.847555i −0.0404977 0.0701441i
\(147\) 5.16360 + 2.57124i 0.425887 + 0.212072i
\(148\) −9.79465 5.65494i −0.805115 0.464833i
\(149\) −19.0393 10.9923i −1.55976 0.900526i −0.997279 0.0737131i \(-0.976515\pi\)
−0.562477 0.826813i \(-0.690152\pi\)
\(150\) 0.130429 0.261930i 0.0106495 0.0213865i
\(151\) −0.201741 + 0.116475i −0.0164175 + 0.00947862i −0.508186 0.861247i \(-0.669684\pi\)
0.491769 + 0.870726i \(0.336351\pi\)
\(152\) 4.33310 0.351461
\(153\) 2.11275 0.261569i 0.170806 0.0211466i
\(154\) 1.31684i 0.106114i
\(155\) 2.48401 + 4.30244i 0.199521 + 0.345580i
\(156\) −11.8818 3.22517i −0.951308 0.258220i
\(157\) −10.2882 + 17.8197i −0.821087 + 1.42216i 0.0837862 + 0.996484i \(0.473299\pi\)
−0.904873 + 0.425681i \(0.860035\pi\)
\(158\) −2.02633 1.16990i −0.161206 0.0930724i
\(159\) −0.196022 3.17871i −0.0155455 0.252088i
\(160\) 0.994406 + 1.72236i 0.0786147 + 0.136165i
\(161\) 16.0473i 1.26470i
\(162\) 1.09158 1.05838i 0.0857629 0.0831541i
\(163\) 15.6276i 1.22404i 0.790841 + 0.612022i \(0.209644\pi\)
−0.790841 + 0.612022i \(0.790356\pi\)
\(164\) 18.6699 10.7791i 1.45787 0.841703i
\(165\) −0.433796 7.03449i −0.0337710 0.547634i
\(166\) −0.295380 + 0.511612i −0.0229259 + 0.0397088i
\(167\) 8.64820 + 4.99304i 0.669218 + 0.386373i 0.795780 0.605586i \(-0.207061\pi\)
−0.126563 + 0.991959i \(0.540394\pi\)
\(168\) 1.85571 1.22961i 0.143171 0.0948663i
\(169\) 12.0044 4.98951i 0.923413 0.383809i
\(170\) 0.119883 0.00919457
\(171\) 2.38056 + 19.2283i 0.182046 + 1.47042i
\(172\) 17.1523 1.30785
\(173\) −8.04100 13.9274i −0.611346 1.05888i −0.991014 0.133759i \(-0.957295\pi\)
0.379668 0.925123i \(-0.376038\pi\)
\(174\) 0.922172 1.85192i 0.0699097 0.140394i
\(175\) 1.65898 + 0.957814i 0.125407 + 0.0724040i
\(176\) 13.4951 + 7.79142i 1.01723 + 0.587300i
\(177\) 7.68077 15.4246i 0.577322 1.15939i
\(178\) −0.852557 1.47667i −0.0639018 0.110681i
\(179\) 6.68173 0.499416 0.249708 0.968321i \(-0.419665\pi\)
0.249708 + 0.968321i \(0.419665\pi\)
\(180\) −4.71985 + 3.56411i −0.351797 + 0.265653i
\(181\) −12.1819 −0.905474 −0.452737 0.891644i \(-0.649552\pi\)
−0.452737 + 0.891644i \(0.649552\pi\)
\(182\) −0.374393 + 1.10514i −0.0277518 + 0.0819182i
\(183\) 4.35003 2.88237i 0.321563 0.213071i
\(184\) −4.86739 2.81019i −0.358829 0.207170i
\(185\) 2.86840 4.96822i 0.210889 0.365271i
\(186\) 0.0894745 + 1.45093i 0.00656059 + 0.106387i
\(187\) 2.50068 1.44377i 0.182867 0.105579i
\(188\) 6.76647i 0.493496i
\(189\) 6.47594 + 7.55925i 0.471056 + 0.549854i
\(190\) 1.09106i 0.0791537i
\(191\) 8.26341 + 14.3126i 0.597919 + 1.03563i 0.993128 + 0.117035i \(0.0373390\pi\)
−0.395209 + 0.918591i \(0.629328\pi\)
\(192\) −0.780708 12.6600i −0.0563428 0.913660i
\(193\) −12.4581 7.19271i −0.896757 0.517743i −0.0206103 0.999788i \(-0.506561\pi\)
−0.876147 + 0.482045i \(0.839894\pi\)
\(194\) 1.41675 2.45389i 0.101717 0.176179i
\(195\) 1.63593 6.02692i 0.117151 0.431597i
\(196\) −3.28284 5.68605i −0.234489 0.406147i
\(197\) 24.7703i 1.76481i 0.470489 + 0.882406i \(0.344078\pi\)
−0.470489 + 0.882406i \(0.655922\pi\)
\(198\) 0.803879 1.89913i 0.0571292 0.134965i
\(199\) 9.54246 0.676447 0.338224 0.941066i \(-0.390174\pi\)
0.338224 + 0.941066i \(0.390174\pi\)
\(200\) −0.581040 + 0.335464i −0.0410857 + 0.0237209i
\(201\) 3.00731 6.03933i 0.212119 0.425982i
\(202\) −1.02199 0.590047i −0.0719070 0.0415155i
\(203\) 11.7295 + 6.77201i 0.823247 + 0.475302i
\(204\) −2.16910 1.08011i −0.151867 0.0756230i
\(205\) 5.46755 + 9.47008i 0.381870 + 0.661419i
\(206\) 2.37247i 0.165298i
\(207\) 9.79624 23.1431i 0.680886 1.60856i
\(208\) 9.11039 + 10.3757i 0.631692 + 0.719422i
\(209\) 13.1398 + 22.7588i 0.908899 + 1.57426i
\(210\) 0.309611 + 0.467261i 0.0213652 + 0.0322441i
\(211\) −4.51728 + 7.82415i −0.310982 + 0.538637i −0.978575 0.205889i \(-0.933991\pi\)
0.667593 + 0.744526i \(0.267325\pi\)
\(212\) −1.81248 + 3.13930i −0.124481 + 0.215608i
\(213\) −9.85438 + 0.607691i −0.675211 + 0.0416383i
\(214\) −1.04037 + 0.600656i −0.0711180 + 0.0410600i
\(215\) 8.70032i 0.593357i
\(216\) −3.42690 + 0.640485i −0.233171 + 0.0435795i
\(217\) −9.51689 −0.646049
\(218\) 1.18550 + 2.05335i 0.0802921 + 0.139070i
\(219\) −10.0149 + 0.617592i −0.676747 + 0.0417330i
\(220\) −4.01101 + 6.94728i −0.270422 + 0.468385i
\(221\) 2.50913 0.500686i 0.168783 0.0336798i
\(222\) 1.39932 0.927204i 0.0939165 0.0622299i
\(223\) −12.8944 + 7.44457i −0.863471 + 0.498525i −0.865173 0.501473i \(-0.832792\pi\)
0.00170200 + 0.999999i \(0.499458\pi\)
\(224\) −3.80983 −0.254555
\(225\) −1.80785 2.39409i −0.120523 0.159606i
\(226\) 0.856085i 0.0569459i
\(227\) −14.1677 + 8.17971i −0.940341 + 0.542906i −0.890067 0.455829i \(-0.849343\pi\)
−0.0502738 + 0.998735i \(0.516009\pi\)
\(228\) 9.83016 19.7411i 0.651019 1.30739i
\(229\) −2.01410 1.16284i −0.133096 0.0768427i 0.431974 0.901886i \(-0.357817\pi\)
−0.565069 + 0.825043i \(0.691151\pi\)
\(230\) 0.707596 1.22559i 0.0466575 0.0808131i
\(231\) 12.0856 + 6.01807i 0.795173 + 0.395960i
\(232\) −4.10812 + 2.37182i −0.269711 + 0.155718i
\(233\) −8.48290 −0.555733 −0.277867 0.960620i \(-0.589627\pi\)
−0.277867 + 0.960620i \(0.589627\pi\)
\(234\) 1.21459 1.36526i 0.0794000 0.0892498i
\(235\) 3.43221 0.223893
\(236\) −16.9853 + 9.80647i −1.10565 + 0.638347i
\(237\) −19.9975 + 13.2505i −1.29898 + 0.860715i
\(238\) −0.114825 + 0.198883i −0.00744302 + 0.0128917i
\(239\) −7.83208 4.52185i −0.506615 0.292494i 0.224826 0.974399i \(-0.427819\pi\)
−0.731441 + 0.681905i \(0.761152\pi\)
\(240\) 6.62044 0.408263i 0.427348 0.0263533i
\(241\) −7.31598 + 4.22388i −0.471264 + 0.272084i −0.716769 0.697311i \(-0.754380\pi\)
0.245505 + 0.969395i \(0.421046\pi\)
\(242\) 0.938850i 0.0603516i
\(243\) −4.72488 14.8551i −0.303101 0.952958i
\(244\) −5.93961 −0.380244
\(245\) 2.88418 1.66518i 0.184264 0.106385i
\(246\) 0.196942 + 3.19363i 0.0125566 + 0.203618i
\(247\) 4.55678 + 22.8358i 0.289941 + 1.45301i
\(248\) 1.66659 2.88662i 0.105829 0.183301i
\(249\) 3.34553 + 5.04903i 0.212014 + 0.319969i
\(250\) −0.0844686 0.146304i −0.00534226 0.00925307i
\(251\) 5.17089 0.326384 0.163192 0.986594i \(-0.447821\pi\)
0.163192 + 0.986594i \(0.447821\pi\)
\(252\) −1.39205 11.2439i −0.0876911 0.708300i
\(253\) 34.0868i 2.14302i
\(254\) 1.26502 0.730360i 0.0793744 0.0458269i
\(255\) 0.547874 1.10025i 0.0343092 0.0689003i
\(256\) −6.88268 + 11.9212i −0.430168 + 0.745072i
\(257\) 4.09728 7.09669i 0.255581 0.442679i −0.709472 0.704734i \(-0.751067\pi\)
0.965053 + 0.262054i \(0.0843999\pi\)
\(258\) −1.13478 + 2.27888i −0.0706481 + 0.141877i
\(259\) 5.49480 + 9.51726i 0.341430 + 0.591374i
\(260\) −5.34137 + 4.69002i −0.331258 + 0.290862i
\(261\) −12.7820 16.9269i −0.791187 1.04775i
\(262\) 0.804156i 0.0496809i
\(263\) 6.89246 + 11.9381i 0.425008 + 0.736135i 0.996421 0.0845276i \(-0.0269381\pi\)
−0.571414 + 0.820662i \(0.693605\pi\)
\(264\) −3.94180 + 2.61187i −0.242601 + 0.160749i
\(265\) −1.59237 0.919358i −0.0978188 0.0564757i
\(266\) −1.81005 1.04503i −0.110981 0.0640750i
\(267\) −17.4488 + 1.07601i −1.06785 + 0.0658510i
\(268\) −6.65039 + 3.83960i −0.406237 + 0.234541i
\(269\) 16.6922 1.01774 0.508872 0.860842i \(-0.330063\pi\)
0.508872 + 0.860842i \(0.330063\pi\)
\(270\) −0.161272 0.862882i −0.00981469 0.0525133i
\(271\) 1.35107i 0.0820715i −0.999158 0.0410358i \(-0.986934\pi\)
0.999158 0.0410358i \(-0.0130658\pi\)
\(272\) 1.35879 + 2.35349i 0.0823886 + 0.142701i
\(273\) 8.43163 + 8.48665i 0.510306 + 0.513635i
\(274\) −0.864716 + 1.49773i −0.0522394 + 0.0904813i
\(275\) −3.52392 2.03454i −0.212501 0.122687i
\(276\) −23.8452 + 15.8000i −1.43531 + 0.951049i
\(277\) 3.98598 + 6.90392i 0.239494 + 0.414817i 0.960569 0.278041i \(-0.0896850\pi\)
−0.721075 + 0.692857i \(0.756352\pi\)
\(278\) 1.95216i 0.117083i
\(279\) 13.7251 + 5.80970i 0.821702 + 0.347817i
\(280\) 1.28525i 0.0768082i
\(281\) 21.0588 12.1583i 1.25626 0.725304i 0.283917 0.958849i \(-0.408366\pi\)
0.972346 + 0.233545i \(0.0750327\pi\)
\(282\) 0.899001 + 0.447661i 0.0535347 + 0.0266578i
\(283\) −7.68858 + 13.3170i −0.457039 + 0.791615i −0.998803 0.0489160i \(-0.984423\pi\)
0.541764 + 0.840531i \(0.317757\pi\)
\(284\) 9.73222 + 5.61890i 0.577501 + 0.333420i
\(285\) 10.0134 + 4.98624i 0.593145 + 0.295359i
\(286\) 0.795265 2.34747i 0.0470250 0.138809i
\(287\) −20.9476 −1.23650
\(288\) 5.49448 + 2.32575i 0.323765 + 0.137046i
\(289\) −16.4964 −0.970378
\(290\) −0.597217 1.03441i −0.0350698 0.0607426i
\(291\) −16.0464 24.2171i −0.940659 1.41963i
\(292\) 9.89078 + 5.71044i 0.578814 + 0.334178i
\(293\) −17.2223 9.94332i −1.00614 0.580895i −0.0960804 0.995374i \(-0.530631\pi\)
−0.910059 + 0.414479i \(0.863964\pi\)
\(294\) 0.972644 0.0599801i 0.0567258 0.00349811i
\(295\) −4.97422 8.61560i −0.289610 0.501619i
\(296\) −3.84898 −0.223718
\(297\) −13.7559 16.0570i −0.798196 0.931719i
\(298\) −3.71402 −0.215148
\(299\) 9.69127 28.6068i 0.560461 1.65437i
\(300\) 0.210173 + 3.40820i 0.0121344 + 0.196772i
\(301\) −14.4337 8.33329i −0.831943 0.480323i
\(302\) −0.0196770 + 0.0340816i −0.00113228 + 0.00196117i
\(303\) −10.0859 + 6.68299i −0.579418 + 0.383928i
\(304\) −21.4192 + 12.3664i −1.22848 + 0.709262i
\(305\) 3.01280i 0.172512i
\(306\) 0.287010 0.216730i 0.0164073 0.0123896i
\(307\) 2.04562i 0.116750i 0.998295 + 0.0583750i \(0.0185919\pi\)
−0.998295 + 0.0583750i \(0.981408\pi\)
\(308\) −7.68361 13.3084i −0.437814 0.758316i
\(309\) −21.7739 10.8424i −1.23868 0.616804i
\(310\) 0.726842 + 0.419642i 0.0412818 + 0.0238341i
\(311\) 11.3301 19.6243i 0.642471 1.11279i −0.342408 0.939551i \(-0.611243\pi\)
0.984879 0.173241i \(-0.0554241\pi\)
\(312\) −4.05068 + 1.07127i −0.229324 + 0.0606488i
\(313\) 3.88016 + 6.72064i 0.219320 + 0.379873i 0.954600 0.297890i \(-0.0962829\pi\)
−0.735280 + 0.677763i \(0.762950\pi\)
\(314\) 3.47612i 0.196169i
\(315\) 5.70334 0.706102i 0.321347 0.0397843i
\(316\) 27.3050 1.53603
\(317\) −4.17572 + 2.41085i −0.234532 + 0.135407i −0.612661 0.790346i \(-0.709901\pi\)
0.378129 + 0.925753i \(0.376568\pi\)
\(318\) −0.297180 0.448500i −0.0166650 0.0251506i
\(319\) −24.9151 14.3848i −1.39498 0.805392i
\(320\) −6.34205 3.66158i −0.354531 0.204689i
\(321\) 0.758089 + 12.2932i 0.0423124 + 0.686142i
\(322\) 1.35549 + 2.34778i 0.0755385 + 0.130837i
\(323\) 4.58304i 0.255007i
\(324\) −4.85638 + 17.0656i −0.269799 + 0.948089i
\(325\) −2.37896 2.70935i −0.131961 0.150288i
\(326\) 1.32004 + 2.28637i 0.0731101 + 0.126630i
\(327\) 24.2629 1.49622i 1.34174 0.0827412i
\(328\) 3.66833 6.35374i 0.202550 0.350826i
\(329\) −3.28742 + 5.69398i −0.181241 + 0.313919i
\(330\) −0.657659 0.992531i −0.0362030 0.0546370i
\(331\) 20.1502 11.6337i 1.10756 0.639448i 0.169361 0.985554i \(-0.445830\pi\)
0.938195 + 0.346106i \(0.112496\pi\)
\(332\) 6.89403i 0.378359i
\(333\) −2.11459 17.0800i −0.115879 0.935979i
\(334\) 1.68702 0.0923096
\(335\) −1.94759 3.37333i −0.106408 0.184305i
\(336\) −5.66385 + 11.3742i −0.308989 + 0.620516i
\(337\) 3.89171 6.74063i 0.211995 0.367186i −0.740344 0.672228i \(-0.765337\pi\)
0.952339 + 0.305043i \(0.0986707\pi\)
\(338\) 1.33483 1.74398i 0.0726051 0.0948599i
\(339\) 7.85691 + 3.91238i 0.426729 + 0.212492i
\(340\) −1.21157 + 0.699502i −0.0657067 + 0.0379358i
\(341\) 20.2153 1.09472
\(342\) 1.97247 + 2.61209i 0.106659 + 0.141246i
\(343\) 19.7891i 1.06851i
\(344\) 5.05523 2.91864i 0.272560 0.157363i
\(345\) −8.01437 12.0952i −0.431479 0.651183i
\(346\) −2.35286 1.35842i −0.126490 0.0730293i
\(347\) −8.23126 + 14.2570i −0.441877 + 0.765354i −0.997829 0.0658610i \(-0.979021\pi\)
0.555952 + 0.831215i \(0.312354\pi\)
\(348\) 1.48598 + 24.0969i 0.0796571 + 1.29173i
\(349\) −31.5526 + 18.2169i −1.68897 + 0.975127i −0.733661 + 0.679515i \(0.762190\pi\)
−0.955308 + 0.295611i \(0.904477\pi\)
\(350\) 0.323621 0.0172983
\(351\) −6.97921 17.3865i −0.372523 0.928023i
\(352\) 8.09263 0.431339
\(353\) −21.2577 + 12.2732i −1.13143 + 0.653234i −0.944295 0.329099i \(-0.893255\pi\)
−0.187139 + 0.982333i \(0.559922\pi\)
\(354\) −0.179172 2.90547i −0.00952288 0.154424i
\(355\) −2.85012 + 4.93655i −0.151269 + 0.262005i
\(356\) 17.2324 + 9.94915i 0.913317 + 0.527304i
\(357\) 1.30053 + 1.96275i 0.0688316 + 0.103880i
\(358\) 0.977563 0.564396i 0.0516658 0.0298293i
\(359\) 5.35067i 0.282398i 0.989981 + 0.141199i \(0.0450957\pi\)
−0.989981 + 0.141199i \(0.954904\pi\)
\(360\) −0.784594 + 1.85357i −0.0413517 + 0.0976915i
\(361\) −22.7105 −1.19529
\(362\) −1.78226 + 1.02899i −0.0936736 + 0.0540825i
\(363\) −8.61651 4.29063i −0.452249 0.225200i
\(364\) −2.66461 13.3534i −0.139664 0.699909i
\(365\) −2.89656 + 5.01698i −0.151613 + 0.262601i
\(366\) 0.392957 0.789143i 0.0205402 0.0412491i
\(367\) 10.2844 + 17.8131i 0.536841 + 0.929836i 0.999072 + 0.0430763i \(0.0137158\pi\)
−0.462231 + 0.886760i \(0.652951\pi\)
\(368\) 32.0805 1.67231
\(369\) 30.2103 + 12.7877i 1.57269 + 0.665701i
\(370\) 0.969160i 0.0503842i
\(371\) 3.05040 1.76115i 0.158369 0.0914342i
\(372\) −9.37026 14.1415i −0.485825 0.733201i
\(373\) −5.65573 + 9.79602i −0.292843 + 0.507219i −0.974481 0.224471i \(-0.927935\pi\)
0.681638 + 0.731690i \(0.261268\pi\)
\(374\) 0.243906 0.422457i 0.0126121 0.0218447i
\(375\) −1.72877 + 0.106608i −0.0892731 + 0.00550521i
\(376\) −1.15138 1.99425i −0.0593780 0.102846i
\(377\) −16.8199 19.1558i −0.866268 0.986576i
\(378\) 1.58598 + 0.558934i 0.0815738 + 0.0287484i
\(379\) 1.06242i 0.0545727i −0.999628 0.0272863i \(-0.991313\pi\)
0.999628 0.0272863i \(-0.00868659\pi\)
\(380\) −6.36621 11.0266i −0.326580 0.565652i
\(381\) −0.921789 14.9478i −0.0472247 0.765800i
\(382\) 2.41794 + 1.39600i 0.123712 + 0.0714254i
\(383\) 0.985655 + 0.569068i 0.0503646 + 0.0290780i 0.524971 0.851120i \(-0.324076\pi\)
−0.474606 + 0.880198i \(0.657410\pi\)
\(384\) −4.98903 7.52937i −0.254595 0.384232i
\(385\) 6.75053 3.89742i 0.344039 0.198631i
\(386\) −2.43023 −0.123696
\(387\) 15.7289 + 20.8293i 0.799544 + 1.05882i
\(388\) 33.0664i 1.67869i
\(389\) 9.07859 + 15.7246i 0.460303 + 0.797268i 0.998976 0.0452472i \(-0.0144075\pi\)
−0.538673 + 0.842515i \(0.681074\pi\)
\(390\) −0.269742 1.01995i −0.0136589 0.0516470i
\(391\) 2.97229 5.14815i 0.150315 0.260353i
\(392\) −1.93508 1.11722i −0.0977362 0.0564280i
\(393\) −7.38032 3.67506i −0.372288 0.185382i
\(394\) 2.09231 + 3.62399i 0.105409 + 0.182574i
\(395\) 13.8501i 0.696876i
\(396\) 2.95692 + 23.8837i 0.148591 + 1.20020i
\(397\) 8.13168i 0.408118i −0.978959 0.204059i \(-0.934587\pi\)
0.978959 0.204059i \(-0.0654134\pi\)
\(398\) 1.39610 0.806039i 0.0699802 0.0404031i
\(399\) −17.8631 + 11.8362i −0.894273 + 0.592553i
\(400\) 1.91479 3.31651i 0.0957394 0.165825i
\(401\) −25.7963 14.8935i −1.28820 0.743745i −0.309871 0.950779i \(-0.600286\pi\)
−0.978334 + 0.207033i \(0.933619\pi\)
\(402\) −0.0701526 1.13760i −0.00349889 0.0567384i
\(403\) 16.9654 + 5.74744i 0.845105 + 0.286301i
\(404\) 13.7714 0.685154
\(405\) −8.65632 2.46334i −0.430136 0.122404i
\(406\) 2.28809 0.113556
\(407\) −11.6718 20.2161i −0.578547 1.00207i
\(408\) −0.823081 + 0.0507570i −0.0407486 + 0.00251285i
\(409\) 5.57799 + 3.22046i 0.275814 + 0.159241i 0.631527 0.775354i \(-0.282429\pi\)
−0.355713 + 0.934595i \(0.615762\pi\)
\(410\) 1.59985 + 0.923673i 0.0790109 + 0.0456170i
\(411\) 9.79395 + 14.7809i 0.483100 + 0.729088i
\(412\) 13.8431 + 23.9770i 0.682002 + 1.18126i
\(413\) 19.0575 0.937758
\(414\) −0.521641 4.21341i −0.0256372 0.207078i
\(415\) 3.49692 0.171657
\(416\) 6.79162 + 2.30083i 0.332986 + 0.112808i
\(417\) −17.9164 8.92155i −0.877370 0.436890i
\(418\) 3.84481 + 2.21980i 0.188056 + 0.108574i
\(419\) 0.345757 0.598869i 0.0168913 0.0292566i −0.857456 0.514557i \(-0.827956\pi\)
0.874348 + 0.485300i \(0.161290\pi\)
\(420\) −5.85544 2.91574i −0.285716 0.142274i
\(421\) −29.7908 + 17.1998i −1.45192 + 0.838265i −0.998590 0.0530797i \(-0.983096\pi\)
−0.453327 + 0.891344i \(0.649763\pi\)
\(422\) 1.52627i 0.0742978i
\(423\) 8.21703 6.20493i 0.399526 0.301694i
\(424\) 1.23364i 0.0599111i
\(425\) −0.354814 0.614556i −0.0172110 0.0298103i
\(426\) −1.39040 + 0.921294i −0.0673653 + 0.0446368i
\(427\) 4.99818 + 2.88570i 0.241879 + 0.139649i
\(428\) 7.00952 12.1408i 0.338818 0.586850i
\(429\) −17.9100 18.0269i −0.864705 0.870347i
\(430\) 0.734904 + 1.27289i 0.0354402 + 0.0613842i
\(431\) 5.81003i 0.279859i −0.990161 0.139930i \(-0.955312\pi\)
0.990161 0.139930i \(-0.0446877\pi\)
\(432\) 15.1119 12.9462i 0.727070 0.622875i
\(433\) −0.137485 −0.00660711 −0.00330356 0.999995i \(-0.501052\pi\)
−0.00330356 + 0.999995i \(0.501052\pi\)
\(434\) −1.39236 + 0.803879i −0.0668354 + 0.0385874i
\(435\) −12.2229 + 0.753748i −0.586041 + 0.0361395i
\(436\) −23.9621 13.8345i −1.14758 0.662553i
\(437\) 46.8536 + 27.0510i 2.24131 + 1.29402i
\(438\) −1.41306 + 0.936304i −0.0675185 + 0.0447383i
\(439\) −16.8303 29.1510i −0.803267 1.39130i −0.917455 0.397840i \(-0.869760\pi\)
0.114188 0.993459i \(-0.463573\pi\)
\(440\) 2.73006i 0.130150i
\(441\) 3.89459 9.20078i 0.185457 0.438132i
\(442\) 0.324804 0.285195i 0.0154493 0.0135654i
\(443\) −3.16074 5.47456i −0.150171 0.260104i 0.781119 0.624382i \(-0.214649\pi\)
−0.931290 + 0.364278i \(0.881316\pi\)
\(444\) −8.73189 + 17.5355i −0.414397 + 0.832199i
\(445\) −5.04659 + 8.74095i −0.239231 + 0.414361i
\(446\) −1.25767 + 2.17834i −0.0595522 + 0.103147i
\(447\) −16.9734 + 34.0863i −0.802815 + 1.61223i
\(448\) 12.1490 7.01423i 0.573987 0.331391i
\(449\) 2.50392i 0.118167i 0.998253 + 0.0590836i \(0.0188178\pi\)
−0.998253 + 0.0590836i \(0.981182\pi\)
\(450\) −0.466721 0.197558i −0.0220015 0.00931298i
\(451\) 44.4958 2.09522
\(452\) −4.99516 8.65187i −0.234953 0.406950i
\(453\) 0.222866 + 0.336346i 0.0104711 + 0.0158029i
\(454\) −1.38186 + 2.39345i −0.0648537 + 0.112330i
\(455\) 6.77336 1.35159i 0.317540 0.0633637i
\(456\) −0.461943 7.49091i −0.0216325 0.350794i
\(457\) 14.7320 8.50550i 0.689132 0.397870i −0.114155 0.993463i \(-0.536416\pi\)
0.803287 + 0.595592i \(0.203083\pi\)
\(458\) −0.392894 −0.0183588
\(459\) −0.677429 3.62457i −0.0316197 0.169181i
\(460\) 16.5150i 0.770015i
\(461\) −13.4256 + 7.75127i −0.625292 + 0.361013i −0.778927 0.627115i \(-0.784236\pi\)
0.153634 + 0.988128i \(0.450902\pi\)
\(462\) 2.27651 0.140386i 0.105913 0.00653133i
\(463\) 31.7351 + 18.3223i 1.47486 + 0.851508i 0.999598 0.0283393i \(-0.00902188\pi\)
0.475257 + 0.879847i \(0.342355\pi\)
\(464\) 13.5381 23.4486i 0.628490 1.08858i
\(465\) 7.17310 4.75295i 0.332644 0.220413i
\(466\) −1.24108 + 0.716539i −0.0574920 + 0.0331930i
\(467\) 10.1586 0.470084 0.235042 0.971985i \(-0.424477\pi\)
0.235042 + 0.971985i \(0.424477\pi\)
\(468\) −4.30887 + 20.8847i −0.199178 + 0.965397i
\(469\) 7.46173 0.344551
\(470\) 0.502146 0.289914i 0.0231623 0.0133727i
\(471\) 31.9029 + 15.8862i 1.47001 + 0.731996i
\(472\) −3.33734 + 5.78044i −0.153613 + 0.266066i
\(473\) 30.6593 + 17.7011i 1.40971 + 0.813899i
\(474\) −1.80646 + 3.62777i −0.0829737 + 0.166629i
\(475\) 5.59311 3.22918i 0.256630 0.148165i
\(476\) 2.67997i 0.122836i
\(477\) −5.47435 + 0.677752i −0.250653 + 0.0310321i
\(478\) −1.52782 −0.0698808
\(479\) −5.55588 + 3.20769i −0.253855 + 0.146563i −0.621528 0.783392i \(-0.713488\pi\)
0.367673 + 0.929955i \(0.380154\pi\)
\(480\) 2.87155 1.90271i 0.131068 0.0868466i
\(481\) −4.04767 20.2844i −0.184558 0.924891i
\(482\) −0.713571 + 1.23594i −0.0325023 + 0.0562956i
\(483\) 27.7420 1.71077i 1.26230 0.0778426i
\(484\) 5.47809 + 9.48832i 0.249004 + 0.431287i
\(485\) −16.7725 −0.761602
\(486\) −1.94606 1.77426i −0.0882752 0.0804822i
\(487\) 20.7706i 0.941204i −0.882346 0.470602i \(-0.844037\pi\)
0.882346 0.470602i \(-0.155963\pi\)
\(488\) −1.75056 + 1.01068i −0.0792439 + 0.0457515i
\(489\) 27.0164 1.66602i 1.22172 0.0753401i
\(490\) 0.281312 0.487246i 0.0127084 0.0220115i
\(491\) 1.95213 3.38118i 0.0880982 0.152591i −0.818609 0.574351i \(-0.805254\pi\)
0.906707 + 0.421761i \(0.138588\pi\)
\(492\) −20.6248 31.1267i −0.929840 1.40330i
\(493\) −2.50863 4.34508i −0.112983 0.195693i
\(494\) 2.59558 + 2.95606i 0.116781 + 0.132999i
\(495\) −12.1147 + 1.49987i −0.544517 + 0.0674139i
\(496\) 19.0254i 0.854267i
\(497\) −5.45977 9.45660i −0.244904 0.424186i
\(498\) 0.915948 + 0.456100i 0.0410446 + 0.0204383i
\(499\) 2.91052 + 1.68039i 0.130293 + 0.0752246i 0.563730 0.825959i \(-0.309366\pi\)
−0.433437 + 0.901184i \(0.642699\pi\)
\(500\) 1.70733 + 0.985730i 0.0763543 + 0.0440832i
\(501\) 7.70983 15.4830i 0.344450 0.691730i
\(502\) 0.756521 0.436778i 0.0337652 0.0194943i
\(503\) −18.6413 −0.831173 −0.415586 0.909554i \(-0.636424\pi\)
−0.415586 + 0.909554i \(0.636424\pi\)
\(504\) −2.32354 3.07700i −0.103499 0.137060i
\(505\) 6.98539i 0.310846i
\(506\) −2.87926 4.98703i −0.127999 0.221700i
\(507\) −9.90546 20.2208i −0.439917 0.898038i
\(508\) −8.52314 + 14.7625i −0.378153 + 0.654980i
\(509\) −0.552125 0.318770i −0.0244725 0.0141292i 0.487714 0.873004i \(-0.337831\pi\)
−0.512186 + 0.858874i \(0.671164\pi\)
\(510\) −0.0127804 0.207249i −0.000565928 0.00917714i
\(511\) −5.54872 9.61067i −0.245461 0.425151i
\(512\) 12.7550i 0.563699i
\(513\) 32.9875 6.16532i 1.45643 0.272206i
\(514\) 1.38437i 0.0610617i
\(515\) −12.1620 + 7.02176i −0.535924 + 0.309416i
\(516\) −1.82858 29.6524i −0.0804985 1.30537i
\(517\) 6.98297 12.0949i 0.307111 0.531931i
\(518\) 1.60782 + 0.928275i 0.0706436 + 0.0407861i
\(519\) −23.2200 + 15.3858i −1.01925 + 0.675361i
\(520\) −0.776187 + 2.29116i −0.0340381 + 0.100474i
\(521\) −11.6561 −0.510662 −0.255331 0.966854i \(-0.582184\pi\)
−0.255331 + 0.966854i \(0.582184\pi\)
\(522\) −3.29985 1.39679i −0.144431 0.0611359i
\(523\) −21.6071 −0.944814 −0.472407 0.881381i \(-0.656615\pi\)
−0.472407 + 0.881381i \(0.656615\pi\)
\(524\) 4.69216 + 8.12706i 0.204978 + 0.355032i
\(525\) 1.47898 2.97011i 0.0645478 0.129626i
\(526\) 2.01679 + 1.16439i 0.0879362 + 0.0507700i
\(527\) 3.05313 + 1.76273i 0.132996 + 0.0767855i
\(528\) 12.0309 24.1606i 0.523576 1.05145i
\(529\) −23.5873 40.8544i −1.02553 1.77628i
\(530\) −0.310627 −0.0134928
\(531\) −27.4845 11.6339i −1.19272 0.504867i
\(532\) 24.3906 1.05747
\(533\) 37.3424 + 12.6507i 1.61748 + 0.547962i
\(534\) −2.46193 + 1.63130i −0.106538 + 0.0705931i
\(535\) 6.15830 + 3.55550i 0.266246 + 0.153717i
\(536\) −1.30669 + 2.26326i −0.0564406 + 0.0977580i
\(537\) −0.712326 11.5512i −0.0307391 0.498469i
\(538\) 2.44214 1.40997i 0.105288 0.0607881i
\(539\) 13.5515i 0.583705i
\(540\) 6.66469 + 7.77957i 0.286802 + 0.334779i
\(541\) 32.3894i 1.39253i −0.717785 0.696265i \(-0.754844\pi\)
0.717785 0.696265i \(-0.245156\pi\)
\(542\) −0.114123 0.197666i −0.00490199 0.00849050i
\(543\) 1.29869 + 21.0597i 0.0557321 + 0.903758i
\(544\) 1.22224 + 0.705659i 0.0524030 + 0.0302549i
\(545\) 7.01740 12.1545i 0.300592 0.520641i
\(546\) 1.95044 + 0.529421i 0.0834710 + 0.0226571i
\(547\) −1.61348 2.79463i −0.0689875 0.119490i 0.829468 0.558554i \(-0.188644\pi\)
−0.898456 + 0.439064i \(0.855310\pi\)
\(548\) 20.1821i 0.862137i
\(549\) −5.44669 7.21290i −0.232459 0.307839i
\(550\) −0.687419 −0.0293116
\(551\) 39.5448 22.8312i 1.68467 0.972643i
\(552\) −4.33926 + 8.71417i −0.184691 + 0.370900i
\(553\) −22.9771 13.2659i −0.977087 0.564122i
\(554\) 1.16633 + 0.673381i 0.0495526 + 0.0286092i
\(555\) −8.89469 4.42915i −0.377559 0.188007i
\(556\) 11.3906 + 19.7292i 0.483071 + 0.836703i
\(557\) 10.5473i 0.446904i 0.974715 + 0.223452i \(0.0717325\pi\)
−0.974715 + 0.223452i \(0.928267\pi\)
\(558\) 2.49878 0.309361i 0.105782 0.0130963i
\(559\) 20.6977 + 23.5722i 0.875418 + 0.996997i
\(560\) 3.66802 + 6.35320i 0.155002 + 0.268472i
\(561\) −2.76253 4.16917i −0.116634 0.176022i
\(562\) 2.05399 3.55762i 0.0866424 0.150069i
\(563\) −5.75539 + 9.96864i −0.242561 + 0.420128i −0.961443 0.275004i \(-0.911321\pi\)
0.718882 + 0.695132i \(0.244654\pi\)
\(564\) −11.6977 + 0.721360i −0.492560 + 0.0303747i
\(565\) 4.38856 2.53374i 0.184628 0.106595i
\(566\) 2.59778i 0.109193i
\(567\) 12.3778 12.0013i 0.519818 0.504006i
\(568\) 3.82445 0.160470
\(569\) −11.4118 19.7658i −0.478406 0.828624i 0.521287 0.853381i \(-0.325452\pi\)
−0.999693 + 0.0247571i \(0.992119\pi\)
\(570\) 1.88619 0.116316i 0.0790036 0.00487192i
\(571\) −3.66812 + 6.35337i −0.153506 + 0.265880i −0.932514 0.361134i \(-0.882390\pi\)
0.779008 + 0.627014i \(0.215723\pi\)
\(572\) 5.66003 + 28.3646i 0.236658 + 1.18598i
\(573\) 23.8623 15.8113i 0.996861 0.660529i
\(574\) −3.06472 + 1.76941i −0.127919 + 0.0738539i
\(575\) −8.37703 −0.349346
\(576\) −21.8030 + 2.69933i −0.908460 + 0.112472i
\(577\) 10.2351i 0.426092i 0.977042 + 0.213046i \(0.0683385\pi\)
−0.977042 + 0.213046i \(0.931662\pi\)
\(578\) −2.41349 + 1.39343i −0.100388 + 0.0579591i
\(579\) −11.1064 + 22.3040i −0.461566 + 0.926924i
\(580\) 12.0713 + 6.96939i 0.501235 + 0.289388i
\(581\) −3.34940 + 5.80132i −0.138956 + 0.240679i
\(582\) −4.39324 2.18763i −0.182106 0.0906803i
\(583\) −6.47949 + 3.74094i −0.268353 + 0.154934i
\(584\) 3.88676 0.160835
\(585\) −10.5935 2.18563i −0.437989 0.0903645i
\(586\) −3.35959 −0.138784
\(587\) −32.3746 + 18.6915i −1.33624 + 0.771481i −0.986248 0.165270i \(-0.947150\pi\)
−0.349996 + 0.936751i \(0.613817\pi\)
\(588\) −9.47988 + 6.28145i −0.390944 + 0.259043i
\(589\) −16.0427 + 27.7867i −0.661027 + 1.14493i
\(590\) −1.45549 0.840330i −0.0599218 0.0345959i
\(591\) 42.8221 2.64071i 1.76147 0.108624i
\(592\) 19.0262 10.9848i 0.781971 0.451471i
\(593\) 8.06905i 0.331356i −0.986180 0.165678i \(-0.947019\pi\)
0.986180 0.165678i \(-0.0529812\pi\)
\(594\) −3.36884 1.18726i −0.138225 0.0487138i
\(595\) 1.35938 0.0557293
\(596\) 37.5351 21.6709i 1.53750 0.887676i
\(597\) −1.01730 16.4967i −0.0416354 0.675165i
\(598\) −0.998505 5.00390i −0.0408319 0.204624i
\(599\) 19.9770 34.6011i 0.816237 1.41376i −0.0921994 0.995741i \(-0.529390\pi\)
0.908436 0.418023i \(-0.137277\pi\)
\(600\) 0.641882 + 0.968720i 0.0262047 + 0.0395478i
\(601\) −9.30397 16.1150i −0.379517 0.657343i 0.611475 0.791264i \(-0.290576\pi\)
−0.990992 + 0.133921i \(0.957243\pi\)
\(602\) −2.81560 −0.114755
\(603\) −10.7612 4.55510i −0.438230 0.185498i
\(604\) 0.459253i 0.0186867i
\(605\) −4.81284 + 2.77869i −0.195670 + 0.112970i
\(606\) −0.911101 + 1.82969i −0.0370109 + 0.0743260i
\(607\) 1.43661 2.48828i 0.0583102 0.100996i −0.835397 0.549647i \(-0.814762\pi\)
0.893707 + 0.448651i \(0.148095\pi\)
\(608\) −6.42224 + 11.1236i −0.260456 + 0.451124i
\(609\) 10.4568 20.9995i 0.423730 0.850942i
\(610\) −0.254487 0.440784i −0.0103039 0.0178468i
\(611\) 9.29906 8.16508i 0.376200 0.330324i
\(612\) −1.63602 + 3.86501i −0.0661321 + 0.156234i
\(613\) 35.4684i 1.43256i −0.697815 0.716278i \(-0.745844\pi\)
0.697815 0.716278i \(-0.254156\pi\)
\(614\) 0.172791 + 0.299283i 0.00697328 + 0.0120781i
\(615\) 15.7887 10.4617i 0.636661 0.421857i
\(616\) −4.52912 2.61489i −0.182483 0.105357i
\(617\) −8.29254 4.78770i −0.333845 0.192746i 0.323702 0.946159i \(-0.395073\pi\)
−0.657547 + 0.753414i \(0.728406\pi\)
\(618\) −4.10145 + 0.252925i −0.164985 + 0.0101741i
\(619\) −31.7560 + 18.3343i −1.27638 + 0.736920i −0.976181 0.216956i \(-0.930387\pi\)
−0.300201 + 0.953876i \(0.597054\pi\)
\(620\) −9.79427 −0.393347
\(621\) −41.0535 14.4682i −1.64742 0.580588i
\(622\) 3.82815i 0.153495i
\(623\) −9.66739 16.7444i −0.387316 0.670851i
\(624\) 16.9658 16.8559i 0.679178 0.674775i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 1.13537 + 0.655504i 0.0453783 + 0.0261992i
\(627\) 37.9438 25.1419i 1.51533 1.00407i
\(628\) −20.2828 35.1308i −0.809370 1.40187i
\(629\) 4.07100i 0.162321i
\(630\) 0.774778 0.585059i 0.0308679 0.0233093i
\(631\) 3.30174i 0.131440i −0.997838 0.0657201i \(-0.979066\pi\)
0.997838 0.0657201i \(-0.0209345\pi\)
\(632\) 8.04749 4.64622i 0.320112 0.184817i
\(633\) 14.0077 + 6.97520i 0.556757 + 0.277239i
\(634\) −0.407283 + 0.705435i −0.0161753 + 0.0280164i
\(635\) −7.48811 4.32326i −0.297157 0.171563i
\(636\) 5.62035 + 2.79868i 0.222861 + 0.110975i
\(637\) 3.85286 11.3729i 0.152656 0.450611i
\(638\) −4.86024 −0.192419
\(639\) 2.10111 + 16.9711i 0.0831187 + 0.671368i
\(640\) −5.21478 −0.206132
\(641\) 23.0575 + 39.9368i 0.910718 + 1.57741i 0.813052 + 0.582191i \(0.197804\pi\)
0.0976661 + 0.995219i \(0.468862\pi\)
\(642\) 1.14930 + 1.73452i 0.0453594 + 0.0684559i
\(643\) −15.7548 9.09606i −0.621310 0.358713i 0.156069 0.987746i \(-0.450118\pi\)
−0.777379 + 0.629033i \(0.783451\pi\)
\(644\) −27.3981 15.8183i −1.07963 0.623328i
\(645\) 15.0408 0.927523i 0.592232 0.0365212i
\(646\) 0.387123 + 0.670517i 0.0152311 + 0.0263811i
\(647\) 43.5855 1.71352 0.856761 0.515714i \(-0.172473\pi\)
0.856761 + 0.515714i \(0.172473\pi\)
\(648\) 1.47258 + 5.85603i 0.0578485 + 0.230047i
\(649\) −40.4809 −1.58902
\(650\) −0.576905 0.195441i −0.0226281 0.00766584i
\(651\) 1.01458 + 16.4525i 0.0397644 + 0.644824i
\(652\) −26.6815 15.4045i −1.04493 0.603289i
\(653\) 11.5654 20.0318i 0.452587 0.783904i −0.545958 0.837812i \(-0.683834\pi\)
0.998546 + 0.0539078i \(0.0171677\pi\)
\(654\) 3.42337 2.26835i 0.133864 0.0886997i
\(655\) −4.12236 + 2.38004i −0.161074 + 0.0929960i
\(656\) 41.8768i 1.63501i
\(657\) 2.13535 + 17.2477i 0.0833078 + 0.672895i
\(658\) 1.11074i 0.0433010i
\(659\) −7.11951 12.3314i −0.277337 0.480361i 0.693385 0.720567i \(-0.256118\pi\)
−0.970722 + 0.240206i \(0.922785\pi\)
\(660\) 12.4378 + 6.19347i 0.484142 + 0.241080i
\(661\) 35.9030 + 20.7286i 1.39647 + 0.806250i 0.994021 0.109194i \(-0.0348268\pi\)
0.402446 + 0.915444i \(0.368160\pi\)
\(662\) 1.96537 3.40412i 0.0763863 0.132305i
\(663\) −1.13306 4.28433i −0.0440046 0.166390i
\(664\) −1.17309 2.03185i −0.0455247 0.0788510i
\(665\) 12.3718i 0.479759i
\(666\) −1.75210 2.32026i −0.0678924 0.0899082i
\(667\) −59.2279 −2.29331
\(668\) −17.0496 + 9.84358i −0.659668 + 0.380859i
\(669\) 14.2446 + 21.4977i 0.550727 + 0.831150i
\(670\) −0.569881 0.329021i −0.0220164 0.0127112i
\(671\) −10.6169 6.12965i −0.409859 0.236632i
\(672\) 0.406158 + 6.58630i 0.0156679 + 0.254072i
\(673\) 11.7253 + 20.3088i 0.451976 + 0.782846i 0.998509 0.0545919i \(-0.0173858\pi\)
−0.546532 + 0.837438i \(0.684052\pi\)
\(674\) 1.31491i 0.0506484i
\(675\) −3.94609 + 3.38058i −0.151885 + 0.130119i
\(676\) −3.31430 + 25.4138i −0.127473 + 0.977453i
\(677\) −0.562558 0.974380i −0.0216209 0.0374484i 0.855013 0.518607i \(-0.173549\pi\)
−0.876633 + 0.481159i \(0.840216\pi\)
\(678\) 1.47997 0.0912655i 0.0568379 0.00350503i
\(679\) 16.0650 27.8254i 0.616517 1.06784i
\(680\) −0.238054 + 0.412322i −0.00912897 + 0.0158118i
\(681\) 15.6512 + 23.6206i 0.599755 + 0.905142i
\(682\) 2.95758 1.70756i 0.113251 0.0653857i
\(683\) 12.0170i 0.459819i 0.973212 + 0.229910i \(0.0738430\pi\)
−0.973212 + 0.229910i \(0.926157\pi\)
\(684\) −35.1757 14.8895i −1.34498 0.569314i
\(685\) 10.2371 0.391141
\(686\) 1.67156 + 2.89523i 0.0638205 + 0.110540i
\(687\) −1.79556 + 3.60588i −0.0685050 + 0.137573i
\(688\) −16.6593 + 28.8547i −0.635128 + 1.10007i
\(689\) −6.50141 + 1.29733i −0.247684 + 0.0494242i
\(690\) −2.19420 1.09261i −0.0835317 0.0415950i
\(691\) 31.5057 18.1898i 1.19853 0.691973i 0.238304 0.971191i \(-0.423409\pi\)
0.960228 + 0.279218i \(0.0900752\pi\)
\(692\) 31.7050 1.20524
\(693\) 9.11542 21.5347i 0.346266 0.818037i
\(694\) 2.78113i 0.105570i
\(695\) −10.0074 + 5.77777i −0.379602 + 0.219163i
\(696\) 4.53829 + 6.84912i 0.172023 + 0.259615i
\(697\) 6.72023 + 3.87993i 0.254547 + 0.146963i
\(698\) −3.07751 + 5.33040i −0.116485 + 0.201759i
\(699\) 0.904345 + 14.6650i 0.0342055 + 0.554680i
\(700\) −3.27062 + 1.88829i −0.123618 + 0.0713708i
\(701\) 14.7142 0.555748 0.277874 0.960618i \(-0.410370\pi\)
0.277874 + 0.960618i \(0.410370\pi\)
\(702\) −2.48970 1.95419i −0.0939677 0.0737562i
\(703\) 37.0504 1.39738
\(704\) −25.8063 + 14.8993i −0.972611 + 0.561537i
\(705\) −0.365901 5.93350i −0.0137806 0.223468i
\(706\) −2.07339 + 3.59122i −0.0780332 + 0.135157i
\(707\) −11.5887 6.69071i −0.435836 0.251630i
\(708\) 18.7639 + 28.3182i 0.705189 + 1.06426i
\(709\) 8.92475 5.15271i 0.335176 0.193514i −0.322961 0.946412i \(-0.604678\pi\)
0.658137 + 0.752898i \(0.271345\pi\)
\(710\) 0.962983i 0.0361401i
\(711\) 25.0390 + 33.1585i 0.939036 + 1.24354i
\(712\) 6.77179 0.253784
\(713\) 36.0416 20.8086i 1.34977 0.779290i
\(714\) 0.356064 + 0.177304i 0.0133254 + 0.00663542i
\(715\) −14.3876 + 2.87099i −0.538066 + 0.107369i
\(716\) −6.58638 + 11.4079i −0.246145 + 0.426335i
\(717\) −6.98227 + 14.0219i −0.260757 + 0.523657i
\(718\) 0.451964 + 0.782824i 0.0168671 + 0.0292147i
\(719\) 14.8608 0.554214 0.277107 0.960839i \(-0.410624\pi\)
0.277107 + 0.960839i \(0.410624\pi\)
\(720\) −1.41158 11.4017i −0.0526067 0.424915i
\(721\) 26.9022i 1.00189i
\(722\) −3.32264 + 1.91833i −0.123656 + 0.0713927i
\(723\) 8.08205 + 12.1973i 0.300575 + 0.453623i
\(724\) 12.0081 20.7986i 0.446277 0.772974i
\(725\) −3.53514 + 6.12304i −0.131292 + 0.227404i
\(726\) −1.62305 + 0.100089i −0.0602371 + 0.00371465i
\(727\) 10.5033 + 18.1923i 0.389547 + 0.674715i 0.992389 0.123146i \(-0.0392984\pi\)
−0.602842 + 0.797861i \(0.705965\pi\)
\(728\) −3.05755 3.48218i −0.113320 0.129058i
\(729\) −25.1774 + 9.75190i −0.932496 + 0.361181i
\(730\) 0.978672i 0.0362223i
\(731\) 3.08699 + 5.34683i 0.114177 + 0.197760i
\(732\) 0.633210 + 10.2682i 0.0234041 + 0.379523i
\(733\) 27.4355 + 15.8399i 1.01335 + 0.585059i 0.912171 0.409809i \(-0.134405\pi\)
0.101180 + 0.994868i \(0.467738\pi\)
\(734\) 3.00929 + 1.73742i 0.111075 + 0.0641292i
\(735\) −3.18619 4.80856i −0.117524 0.177366i
\(736\) 14.4283 8.33017i 0.531833 0.307054i
\(737\) −15.8498 −0.583835
\(738\) 5.50005 0.680933i 0.202460 0.0250655i
\(739\) 1.83321i 0.0674357i 0.999431 + 0.0337178i \(0.0107348\pi\)
−0.999431 + 0.0337178i \(0.989265\pi\)
\(740\) 5.65494 + 9.79465i 0.207880 + 0.360058i
\(741\) 38.9919 10.3121i 1.43240 0.378824i
\(742\) 0.297523 0.515326i 0.0109224 0.0189182i
\(743\) −3.03436 1.75189i −0.111320 0.0642705i 0.443306 0.896370i \(-0.353805\pi\)
−0.554626 + 0.832100i \(0.687139\pi\)
\(744\) −5.16797 2.57341i −0.189467 0.0943459i
\(745\) 10.9923 + 19.0393i 0.402727 + 0.697544i
\(746\) 1.91093i 0.0699640i
\(747\) 8.37193 6.32191i 0.306313 0.231306i
\(748\) 5.69265i 0.208144i
\(749\) −11.7970 + 6.81101i −0.431053 + 0.248869i
\(750\) −0.243920 + 0.161624i −0.00890671 + 0.00590166i
\(751\) 17.3289 30.0145i 0.632341 1.09525i −0.354731 0.934968i \(-0.615428\pi\)
0.987072 0.160278i \(-0.0512391\pi\)
\(752\) 11.3830 + 6.57196i 0.415094 + 0.239655i
\(753\) −0.551258 8.93926i −0.0200890 0.325765i
\(754\) −4.07888 1.38182i −0.148544 0.0503231i
\(755\) 0.232951 0.00847794
\(756\) −19.2897 + 3.60522i −0.701560 + 0.131121i
\(757\) 3.05994 0.111216 0.0556078 0.998453i \(-0.482290\pi\)
0.0556078 + 0.998453i \(0.482290\pi\)
\(758\) −0.0897409 0.155436i −0.00325954 0.00564568i
\(759\) −58.9281 + 3.63392i −2.13895 + 0.131903i
\(760\) −3.75257 2.16655i −0.136120 0.0785890i
\(761\) −24.7251 14.2750i −0.896283 0.517469i −0.0202909 0.999794i \(-0.506459\pi\)
−0.875993 + 0.482325i \(0.839793\pi\)
\(762\) −1.39748 2.10906i −0.0506255 0.0764033i
\(763\) 13.4427 + 23.2835i 0.486659 + 0.842919i
\(764\) −32.5820 −1.17877
\(765\) −1.96048 0.829851i −0.0708814 0.0300033i
\(766\) 0.192274 0.00694713
\(767\) −33.9730 11.5092i −1.22669 0.415574i
\(768\) 21.3426 + 10.6277i 0.770136 + 0.383493i
\(769\) −5.78804 3.34173i −0.208722 0.120506i 0.391995 0.919967i \(-0.371785\pi\)
−0.600717 + 0.799461i \(0.705118\pi\)
\(770\) 0.658419 1.14042i 0.0237278 0.0410977i
\(771\) −12.7053 6.32667i −0.457571 0.227850i
\(772\) 24.5607 14.1801i 0.883960 0.510355i
\(773\) 7.34991i 0.264358i 0.991226 + 0.132179i \(0.0421973\pi\)
−0.991226 + 0.132179i \(0.957803\pi\)
\(774\) 4.06062