Properties

Label 585.2.bt.b.376.29
Level $585$
Weight $2$
Character 585.376
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 376.29
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.29

$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(-1\)

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 0.550834 0.834615i \(-0.314310\pi\)
−0.447381 + 0.894343i \(0.647643\pi\)
\(3\) −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 0.779604 0.626273i \(-0.215421\pi\)
−0.152567 + 0.988293i \(0.548754\pi\)
\(8\) 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 −0.136380 0.990657i \(-0.543547\pi\)
−0.926124 + 0.377220i \(0.876880\pi\)
\(12\) 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 \(0.265565\pi\)
−0.671697 + 0.740826i \(0.734435\pi\)
\(20\) 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 −0.858494 0.512824i \(-0.828599\pi\)
−0.0148717 0.999889i \(-0.504734\pi\)
\(24\) 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 −0.325067 0.945691i \(-0.605387\pi\)
0.981526 0.191329i \(-0.0612798\pi\)
\(30\) 0.0180101 0.292053i 0.00328817 0.0533214i
\(31\) −4.30244 + 2.48401i −0.772741 + 0.446142i −0.833851 0.551989i \(-0.813869\pi\)
0.0611108 + 0.998131i \(0.480536\pi\)
\(32\) −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 \(-0.843690\pi\)
0.881833 0.471563i \(-0.156310\pi\)
\(38\) −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 −0.999717 0.0237844i \(-0.992428\pi\)
−0.479261 + 0.877673i \(0.659095\pi\)
\(42\) −0.501761 + 0.249854i −0.0774235 + 0.0385533i
\(43\) −4.35016 + 7.53470i −0.663393 + 1.14903i 0.316325 + 0.948651i \(0.397551\pi\)
−0.979718 + 0.200379i \(0.935782\pi\)
\(44\) 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 0.267298 0.963614i \(-0.413869\pi\)
−0.700865 + 0.713294i \(0.747202\pi\)
\(48\) −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 0.179832 0.983697i \(-0.442445\pi\)
0.941823 + 0.336109i \(0.109111\pi\)
\(60\) −1.88611 + 2.84650i −0.243496 + 0.367481i
\(61\) 1.50640 2.60916i 0.192874 0.334068i −0.753327 0.657646i \(-0.771552\pi\)
0.946202 + 0.323578i \(0.104886\pi\)
\(62\) −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 −0.279581 0.960122i \(-0.590196\pi\)
0.691699 + 0.722186i \(0.256862\pi\)
\(68\) 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 \(0.109834\pi\)
−0.941057 + 0.338247i \(0.890166\pi\)
\(72\) −0.247304 + 1.99753i −0.0291451 + 0.235411i
\(73\) 5.79311i 0.678032i 0.940781 + 0.339016i \(0.110094\pi\)
−0.940781 + 0.339016i \(0.889906\pi\)
\(74\) 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 0.153312 + 0.988178i \(0.451006\pi\)
−0.932443 + 0.361317i \(0.882327\pi\)
\(80\) 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 0.324499 0.945886i \(-0.394804\pi\)
−0.656911 + 0.753968i \(0.728137\pi\)
\(84\) 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 \(0.179665\pi\)
−0.844892 + 0.534937i \(0.820335\pi\)
\(90\) 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 0.999598 0.0283603i \(-0.00902856\pi\)
0.475238 + 0.879857i \(0.342362\pi\)
\(98\) 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 −0.985811 0.167858i \(-0.946315\pi\)
0.638275 + 0.769809i \(0.279648\pi\)
\(102\) 0.114693 0.173093i 0.0113563 0.0171387i
\(103\) 7.02176 + 12.1620i 0.691875 + 1.19836i 0.971223 + 0.238172i \(0.0765483\pi\)
−0.279348 + 0.960190i \(0.590118\pi\)
\(104\) −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 \(-0.765373\pi\)
0.740420 0.672145i \(-0.234627\pi\)
\(110\) 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 0.721888 0.692010i \(-0.243274\pi\)
−0.960242 + 0.279169i \(0.909941\pi\)
\(114\) −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 0.951067 0.308984i \(-0.0999890\pi\)
−0.743122 + 0.669156i \(0.766656\pi\)
\(132\) −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 0.0709354 0.997481i \(-0.477402\pi\)
−0.828376 + 0.560172i \(0.810735\pi\)
\(138\) 2.44654 + 0.150871i 0.208263 + 0.0128430i
\(139\) 5.77777 + 10.0074i 0.490064 + 0.848816i 0.999935 0.0114355i \(-0.00364012\pi\)
−0.509871 + 0.860251i \(0.670307\pi\)
\(140\) 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 −0.562477 + 0.826813i \(0.690152\pi\)
−0.997279 + 0.0737131i \(0.976515\pi\)
\(150\) 0.130429 + 0.261930i 0.0106495 + 0.0213865i
\(151\) −0.201741 0.116475i −0.0164175 0.00947862i 0.491769 0.870726i \(-0.336351\pi\)
−0.508186 + 0.861247i \(0.669684\pi\)
\(152\) 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 −0.904873 0.425681i \(-0.860035\pi\)
0.0837862 0.996484i \(-0.473299\pi\)
\(158\) −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 \(-0.790356\pi\)
0.790841 0.612022i \(-0.209644\pi\)
\(164\) 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 −0.126563 0.991959i \(-0.540394\pi\)
0.795780 + 0.605586i \(0.207061\pi\)
\(168\) 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 0.379668 + 0.925123i \(0.376038\pi\)
−0.991014 + 0.133759i \(0.957295\pi\)
\(174\) 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 −0.395209 0.918591i \(-0.629328\pi\)
0.993128 0.117035i \(-0.0373390\pi\)
\(192\) −0.780708 + 12.6600i −0.0563428 + 0.913660i
\(193\) −12.4581 + 7.19271i −0.896757 + 0.517743i −0.876147 0.482045i \(-0.839894\pi\)
−0.0206103 + 0.999788i \(0.506561\pi\)
\(194\) 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 \(-0.655922\pi\)
0.470489 0.882406i \(-0.344078\pi\)
\(198\) 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 0.667593 0.744526i \(-0.267325\pi\)
−0.978575 + 0.205889i \(0.933991\pi\)
\(212\) −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 0.00170200 0.999999i \(-0.499458\pi\)
−0.865173 + 0.501473i \(0.832792\pi\)
\(224\) −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 −0.0502738 0.998735i \(-0.516009\pi\)
−0.890067 + 0.455829i \(0.849343\pi\)
\(228\) 9.83016 + 19.7411i 0.651019 + 1.30739i
\(229\) −2.01410 + 1.16284i −0.133096 + 0.0768427i −0.565069 0.825043i \(-0.691151\pi\)
0.431974 + 0.901886i \(0.357817\pi\)
\(230\) 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 −0.731441 0.681905i \(-0.761152\pi\)
0.224826 + 0.974399i \(0.427819\pi\)
\(240\) 6.62044 + 0.408263i 0.427348 + 0.0263533i
\(241\) −7.31598 4.22388i −0.471264 0.272084i 0.245505 0.969395i \(-0.421046\pi\)
−0.716769 + 0.697311i \(0.754380\pi\)
\(242\) 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 0.965053 0.262054i \(-0.0843999\pi\)
−0.709472 + 0.704734i \(0.751067\pi\)
\(258\) −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 −0.571414 0.820662i \(-0.693605\pi\)
0.996421 + 0.0845276i \(0.0269381\pi\)
\(264\) −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 \(0.0130658\pi\)
−0.999158 + 0.0410358i \(0.986934\pi\)
\(272\) 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 −0.721075 0.692857i \(-0.756352\pi\)
0.960569 + 0.278041i \(0.0896850\pi\)
\(278\) 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 0.972346 0.233545i \(-0.0750327\pi\)
0.283917 + 0.958849i \(0.408366\pi\)
\(282\) 0.899001 0.447661i 0.0535347 0.0266578i
\(283\) −7.68858 13.3170i −0.457039 0.791615i 0.541764 0.840531i \(-0.317757\pi\)
−0.998803 + 0.0489160i \(0.984423\pi\)
\(284\) 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 −0.910059 0.414479i \(-0.863964\pi\)
−0.0960804 + 0.995374i \(0.530631\pi\)
\(294\) 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 \(-0.981408\pi\)
0.998295 0.0583750i \(-0.0185919\pi\)
\(308\) −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 0.984879 + 0.173241i \(0.0554241\pi\)
−0.342408 + 0.939551i \(0.611243\pi\)
\(312\) −4.05068 1.07127i −0.229324 0.0606488i
\(313\) 3.88016 6.72064i 0.219320 0.379873i −0.735280 0.677763i \(-0.762950\pi\)
0.954600 + 0.297890i \(0.0962829\pi\)
\(314\) 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 0.378129 0.925753i \(-0.376568\pi\)
−0.612661 + 0.790346i \(0.709901\pi\)
\(318\) −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 0.938195 0.346106i \(-0.112496\pi\)
0.169361 + 0.985554i \(0.445830\pi\)
\(332\) 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 0.952339 0.305043i \(-0.0986707\pi\)
−0.740344 + 0.672228i \(0.765337\pi\)
\(338\) 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 0.555952 0.831215i \(-0.312354\pi\)
−0.997829 + 0.0658610i \(0.979021\pi\)
\(348\) 1.48598 24.0969i 0.0796571 1.29173i
\(349\) −31.5526 18.2169i −1.68897 0.975127i −0.955308 0.295611i \(-0.904477\pi\)
−0.733661 0.679515i \(-0.762190\pi\)
\(350\) 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 −0.187139 0.982333i \(-0.559922\pi\)
−0.944295 + 0.329099i \(0.893255\pi\)
\(354\) −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 \(-0.954904\pi\)
0.989981 0.141199i \(-0.0450957\pi\)
\(360\) −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 −0.462231 0.886760i \(-0.652951\pi\)
0.999072 0.0430763i \(-0.0137158\pi\)
\(368\) 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 0.681638 0.731690i \(-0.261268\pi\)
−0.974481 + 0.224471i \(0.927935\pi\)
\(374\) 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 \(0.00868659\pi\)
−0.999628 + 0.0272863i \(0.991313\pi\)
\(380\) −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 −0.474606 0.880198i \(-0.657410\pi\)
0.524971 + 0.851120i \(0.324076\pi\)
\(384\) −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 −0.538673 0.842515i \(-0.681074\pi\)
0.998976 + 0.0452472i \(0.0144075\pi\)
\(390\) −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 \(0.0654134\pi\)
−0.978959 + 0.204059i \(0.934587\pi\)
\(398\) 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 −0.978334 0.207033i \(-0.933619\pi\)
−0.309871 + 0.950779i \(0.600286\pi\)
\(402\) −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 −0.355713 0.934595i \(-0.615762\pi\)
0.631527 + 0.775354i \(0.282429\pi\)
\(410\) 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 0.874348 0.485300i \(-0.161290\pi\)
−0.857456 + 0.514557i \(0.827956\pi\)
\(420\) −5.85544 + 2.91574i −0.285716 + 0.142274i
\(421\) −29.7908 17.1998i −1.45192 0.838265i −0.453327 0.891344i \(-0.649763\pi\)
−0.998590 + 0.0530797i \(0.983096\pi\)
\(422\) 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 \(0.0446877\pi\)
−0.990161 + 0.139930i \(0.955312\pi\)
\(432\) 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 0.114188 + 0.993459i \(0.463573\pi\)
−0.917455 + 0.397840i \(0.869760\pi\)
\(440\) 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 −0.931290 0.364278i \(-0.881316\pi\)
0.781119 + 0.624382i \(0.214649\pi\)
\(444\) −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 \(-0.981182\pi\)
0.998253 0.0590836i \(-0.0188178\pi\)
\(450\) −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 0.803287 0.595592i \(-0.203083\pi\)
−0.114155 + 0.993463i \(0.536416\pi\)
\(458\) −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 0.153634 0.988128i \(-0.450902\pi\)
−0.778927 + 0.627115i \(0.784236\pi\)
\(462\) 2.27651 + 0.140386i 0.105913 + 0.00653133i
\(463\) 31.7351 18.3223i 1.47486 0.851508i 0.475257 0.879847i \(-0.342355\pi\)
0.999598 + 0.0283393i \(0.00902188\pi\)
\(464\) 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 0.367673 0.929955i \(-0.380154\pi\)
−0.621528 + 0.783392i \(0.713488\pi\)
\(480\) 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 \(0.155963\pi\)
−0.882346 + 0.470602i \(0.844037\pi\)
\(488\) −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 0.906707 0.421761i \(-0.138588\pi\)
−0.818609 + 0.574351i \(0.805254\pi\)
\(492\) −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 −0.433437 0.901184i \(-0.642699\pi\)
0.563730 + 0.825959i \(0.309366\pi\)
\(500\) 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 −0.512186 0.858874i \(-0.671164\pi\)
0.487714 + 0.873004i \(0.337831\pi\)
\(510\) −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 \(0.245156\pi\)
−0.717785 + 0.696265i \(0.754844\pi\)
\(542\) −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 −0.898456 0.439064i \(-0.855310\pi\)
0.829468 + 0.558554i \(0.188644\pi\)
\(548\) 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 \(-0.928267\pi\)
0.974715 0.223452i \(-0.0717325\pi\)
\(558\) 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 0.718882 0.695132i \(-0.244654\pi\)
−0.961443 + 0.275004i \(0.911321\pi\)
\(564\) −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 −0.999693 0.0247571i \(-0.992119\pi\)
0.521287 + 0.853381i \(0.325452\pi\)
\(570\) 1.88619 + 0.116316i 0.0790036 + 0.00487192i
\(571\) −3.66812 6.35337i −0.153506 0.265880i 0.779008 0.627014i \(-0.215723\pi\)
−0.932514 + 0.361134i \(0.882390\pi\)
\(572\) 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 \(-0.931662\pi\)
0.977042 0.213046i \(-0.0683385\pi\)
\(578\) −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 −0.349996 0.936751i \(-0.613817\pi\)
−0.986248 + 0.165270i \(0.947150\pi\)
\(588\) −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 \(0.0529812\pi\)
−0.986180 + 0.165678i \(0.947019\pi\)
\(594\) −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 0.908436 + 0.418023i \(0.137277\pi\)
−0.0921994 + 0.995741i \(0.529390\pi\)
\(600\) 0.641882 0.968720i 0.0262047 0.0395478i
\(601\) −9.30397 + 16.1150i −0.379517 + 0.657343i −0.990992 0.133921i \(-0.957243\pi\)
0.611475 + 0.791264i \(0.290576\pi\)
\(602\) −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 0.893707 0.448651i \(-0.148095\pi\)
−0.835397 + 0.549647i \(0.814762\pi\)
\(608\) −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 \(0.254156\pi\)
−0.697815 + 0.716278i \(0.745844\pi\)
\(614\) 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 −0.657547 0.753414i \(-0.728406\pi\)
0.323702 + 0.946159i \(0.395073\pi\)
\(618\) −4.10145 0.252925i −0.164985 0.0101741i
\(619\) −31.7560 18.3343i −1.27638 0.736920i −0.300201 0.953876i \(-0.597054\pi\)
−0.976181 + 0.216956i \(0.930387\pi\)
\(620\) −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 \(0.0209345\pi\)
−0.997838 + 0.0657201i \(0.979066\pi\)
\(632\) 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 0.0976661 0.995219i \(-0.468862\pi\)
0.813052 0.582191i \(-0.197804\pi\)
\(642\) 1.14930 1.73452i 0.0453594 0.0684559i
\(643\) −15.7548 + 9.09606i −0.621310 + 0.358713i −0.777379 0.629033i \(-0.783451\pi\)
0.156069 + 0.987746i \(0.450118\pi\)
\(644\) −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 0.998546 0.0539078i \(-0.0171677\pi\)
−0.545958 + 0.837812i \(0.683834\pi\)
\(654\) 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 −0.970722 0.240206i \(-0.922785\pi\)
0.693385 + 0.720567i \(0.256118\pi\)
\(660\) 12.4378 6.19347i 0.484142 0.241080i
\(661\) 35.9030 20.7286i 1.39647 0.806250i 0.402446 0.915444i \(-0.368160\pi\)
0.994021 + 0.109194i \(0.0348268\pi\)
\(662\) 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 −0.546532 0.837438i \(-0.684052\pi\)
0.998509 + 0.0545919i \(0.0173858\pi\)
\(674\) 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 −0.876633 0.481159i \(-0.840216\pi\)
0.855013 + 0.518607i \(0.173549\pi\)
\(678\) 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 \(-0.926157\pi\)
0.973212 0.229910i \(-0.0738430\pi\)
\(684\) −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 0.960228 0.279218i \(-0.0900752\pi\)
0.238304 + 0.971191i \(0.423409\pi\)
\(692\) 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 0.658137 0.752898i \(-0.271345\pi\)
−0.322961 + 0.946412i \(0.604678\pi\)
\(710\) 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 −0.602842 0.797861i \(-0.705965\pi\)
0.992389 + 0.123146i \(0.0392984\pi\)
\(728\) −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 0.101180 0.994868i \(-0.467738\pi\)
0.912171 + 0.409809i \(0.134405\pi\)
\(734\) 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 \(-0.989265\pi\)
0.999431 0.0337178i \(-0.0107348\pi\)
\(740\) 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 −0.554626 0.832100i \(-0.687139\pi\)
0.443306 + 0.896370i \(0.353805\pi\)
\(744\) −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 0.987072 + 0.160278i \(0.0512391\pi\)
−0.354731 + 0.934968i \(0.615428\pi\)
\(752\) 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 −0.875993 0.482325i \(-0.839793\pi\)
−0.0202909 + 0.999794i \(0.506459\pi\)
\(762\) −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 −0.600717 0.799461i \(-0.705118\pi\)
0.391995 + 0.919967i \(0.371785\pi\)
\(770\) 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 \(-0.957803\pi\)
0.991226 0.132179i \(-0.0421973\pi\)
\(774\) 4.06062