Properties

Label 585.2.bt.b.571.26
Level $585$
Weight $2$
Character 585.571
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 571.26
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.26

$q$-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} +(1.15689 + 3.41491i) 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} +(5.78025 - 2.36404i) 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} +(-6.97077 - 1.39099i) 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} +(-0.705562 + 3.53584i) 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} +(-0.645986 + 0.834119i) 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 −0.550834 0.834615i \(-0.685690\pi\)
0.447381 + 0.894343i \(0.352357\pi\)
\(3\) −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 \(-0.784579\pi\)
0.152567 + 0.988293i \(0.451246\pi\)
\(8\) 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 \(-0.456453\pi\)
0.926124 + 0.377220i \(0.123120\pi\)
\(12\) 3.05667 + 1.52208i 0.882385 + 0.439387i
\(13\) 1.15689 + 3.41491i 0.320863 + 0.947126i
\(14\) 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 −0.0148717 + 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 0.833851 0.551989i \(-0.186131\pi\)
−0.0611108 + 0.998131i \(0.519464\pi\)
\(32\) 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
\(39\) 5.78025 2.36404i 0.925581 0.378550i
\(40\) 0.335464 0.581040i 0.0530415 0.0918705i
\(41\) 9.47008 + 5.46755i 1.47898 + 0.853888i 0.999717 0.0237844i \(-0.00757151\pi\)
0.479261 + 0.877673i \(0.340905\pi\)
\(42\) −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 −0.267298 0.963614i \(-0.586131\pi\)
0.700865 + 0.713294i \(0.252798\pi\)
\(48\) −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
\(52\) −6.97077 1.39099i −0.966672 0.192895i
\(53\) 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 \(-0.557555\pi\)
−0.941823 + 0.336109i \(0.890889\pi\)
\(60\) 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
\(65\) −0.705562 + 3.53584i −0.0875142 + 0.438567i
\(66\) 1.06582 + 0.530727i 0.131193 + 0.0653280i
\(67\) −3.37333 1.94759i −0.412118 0.237936i 0.279581 0.960122i \(-0.409804\pi\)
−0.691699 + 0.722186i \(0.743138\pi\)
\(68\) 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
\(78\) −0.645986 + 0.834119i −0.0731435 + 0.0944453i
\(79\) −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 −0.324499 0.945886i \(-0.605196\pi\)
0.656911 + 0.753968i \(0.271863\pi\)
\(84\) −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 \(-0.990971\pi\)
−0.475238 + 0.879857i \(0.657638\pi\)
\(98\) 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 \(-0.0765483\pi\)
\(104\) 2.29116 0.776187i 0.224666 0.0761114i
\(105\) 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 −0.960242 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
\(117\) −4.70310 9.74068i −0.434802 0.900526i
\(118\) 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
\(130\) −0.195441 0.576905i −0.0171413 0.0505980i
\(131\) 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 −0.0709354 0.997481i \(-0.522598\pi\)
0.828376 + 0.560172i \(0.189265\pi\)
\(138\) −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 \(0.0234849\pi\)
0.562477 + 0.826813i \(0.309848\pi\)
\(150\) −0.130429 + 0.261930i −0.0106495 + 0.0213865i
\(151\) 0.201741 0.116475i 0.0164175 0.00947862i −0.491769 0.870726i \(-0.663649\pi\)
0.508186 + 0.861247i \(0.330316\pi\)
\(152\) 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
\(156\) −1.66155 + 12.1991i −0.133031 + 0.976712i
\(157\) −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 \(-0.790356\pi\)
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 \(-0.459606\pi\)
−0.795780 + 0.605586i \(0.792939\pi\)
\(168\) 1.85571 1.22961i 0.143171 0.0948663i
\(169\) −10.3232 + 7.90133i −0.794094 + 0.607795i
\(170\) 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 \(0.649552\pi\)
\(182\) 1.14427 + 0.228335i 0.0848191 + 0.0169253i
\(183\) 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 0.876147 0.482045i \(-0.160106\pi\)
0.0206103 + 0.999788i \(0.493439\pi\)
\(194\) 1.41675 2.45389i 0.101717 0.176179i
\(195\) 6.18787 + 0.842803i 0.443122 + 0.0603544i
\(196\) −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 −0.978575 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
\(221\) −0.820959 2.42332i −0.0552237 0.163010i
\(222\) 1.39932 0.927204i 0.0939165 0.0622299i
\(223\) 12.8944 7.44457i 0.863471 0.498525i −0.00170200 0.999999i \(-0.500542\pi\)
0.865173 + 0.501473i \(0.167208\pi\)
\(224\) −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 \(-0.483991\pi\)
0.890067 + 0.455829i \(0.150657\pi\)
\(228\) −9.83016 + 19.7411i −0.651019 + 1.30739i
\(229\) 2.01410 + 1.16284i 0.133096 + 0.0768427i 0.565069 0.825043i \(-0.308849\pi\)
−0.431974 + 0.901886i \(0.642183\pi\)
\(230\) 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 \(0.589627\pi\)
\(234\) 1.51086 + 1.02784i 0.0987683 + 0.0671917i
\(235\) 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 \(-0.238848\pi\)
−0.224826 + 0.974399i \(0.572181\pi\)
\(240\) −6.62044 + 0.408263i −0.427348 + 0.0263533i
\(241\) 7.31598 4.22388i 0.471264 0.272084i −0.245505 0.969395i \(-0.578954\pi\)
0.716769 + 0.697311i \(0.245620\pi\)
\(242\) 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
\(247\) −22.0547 + 7.47160i −1.40331 + 0.475407i
\(248\) 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 \(0.0130658\pi\)
−0.999158 + 0.0410358i \(0.986934\pi\)
\(272\) 1.35879 + 2.35349i 0.0823886 + 0.142701i
\(273\) −7.32502 + 9.45832i −0.443330 + 0.572443i
\(274\) −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 −0.972346 0.233545i \(-0.924967\pi\)
−0.283917 + 0.958849i \(0.591634\pi\)
\(282\) 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
\(286\) −2.43060 0.485016i −0.143725 0.0286796i
\(287\) −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 \(-0.136036\pi\)
0.0960804 + 0.995374i \(0.469369\pi\)
\(294\) −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
\(299\) −29.6198 5.91051i −1.71296 0.341814i
\(300\) 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 −0.342408 0.939551i \(-0.611243\pi\)
0.984879 0.173241i \(-0.0554241\pi\)
\(312\) −1.58610 3.87813i −0.0897954 0.219556i
\(313\) 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 −0.378129 0.925753i \(-0.623432\pi\)
0.612661 + 0.790346i \(0.290099\pi\)
\(318\) 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 \(-0.887504\pi\)
−0.169361 + 0.985554i \(0.554170\pi\)
\(332\) 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 \(0.0986707\pi\)
\(338\) 0.842914 2.02798i 0.0458485 0.110308i
\(339\) 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 \(-0.237810\pi\)
0.955308 0.295611i \(-0.0955234\pi\)
\(350\) 0.323621 0.0172983
\(351\) −16.3380 + 9.16900i −0.872057 + 0.489405i
\(352\) 8.09263 0.431339
\(353\) 21.2577 12.2732i 1.13143 0.653234i 0.187139 0.982333i \(-0.440078\pi\)
0.944295 + 0.329099i \(0.106745\pi\)
\(354\) −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
\(364\) 12.8967 4.36908i 0.675971 0.229002i
\(365\) −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 \(0.00868659\pi\)
−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 \(-0.342590\pi\)
−0.524971 + 0.851120i \(0.675924\pi\)
\(384\) 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 \(0.681074\pi\)
\(390\) −0.976499 + 0.399375i −0.0494470 + 0.0202231i
\(391\) 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 \(-0.0663809\pi\)
0.309871 + 0.950779i \(0.399714\pi\)
\(402\) −0.0701526 1.13760i −0.00349889 0.0567384i
\(403\) −3.50525 + 17.5662i −0.174609 + 0.875033i
\(404\) 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 \(-0.384238\pi\)
−0.631527 + 0.775354i \(0.717571\pi\)
\(410\) −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
\(416\) −1.40323 + 7.03213i −0.0687990 + 0.344778i
\(417\) −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 0.453327 0.891344i \(-0.350237\pi\)
0.998590 + 0.0530797i \(0.0169037\pi\)
\(422\) 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
\(429\) 15.5594 20.0909i 0.751216 0.969996i
\(430\) 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 −0.917455 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 \(-0.981182\pi\)
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
\(455\) −2.21617 6.54170i −0.103895 0.306680i
\(456\) −0.461943 7.49091i −0.0216325 0.350794i
\(457\) −14.7320 + 8.50550i −0.689132 + 0.397870i −0.803287 0.595592i \(-0.796917\pi\)
0.114155 + 0.993463i \(0.463584\pi\)
\(458\) −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 \(-0.549098\pi\)
0.778927 + 0.627115i \(0.215764\pi\)
\(462\) −2.27651 + 0.140386i −0.105913 + 0.00653133i
\(463\) −31.7351 18.3223i −1.47486 0.851508i −0.475257 0.879847i \(-0.657645\pi\)
−0.999598 + 0.0283393i \(0.990978\pi\)
\(464\) 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 \(0.424477\pi\)
\(468\) 21.2666 + 1.57191i 0.983048 + 0.0726616i
\(469\) 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 \(-0.619846\pi\)
0.621528 + 0.783392i \(0.286512\pi\)
\(480\) 2.87155 1.90271i 0.131068 0.0868466i
\(481\) 19.5907 6.63684i 0.893258 0.302614i
\(482\) −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 −0.818609 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 0.433437 0.901184i \(-0.357301\pi\)
−0.563730 + 0.825959i \(0.690634\pi\)
\(500\) −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
\(507\) 14.7601 + 17.0041i 0.655519 + 0.755179i
\(508\) −8.52314 + 14.7625i −0.378153 + 0.654980i
\(509\) 0.552125 + 0.318770i 0.0244725 + 0.0141292i 0.512186 0.858874i \(-0.328836\pi\)
−0.487714 + 0.873004i \(0.662169\pi\)
\(510\) −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
\(520\) 2.37229 + 0.473381i 0.104032 + 0.0207591i
\(521\) −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
\(533\) −7.71539 + 38.6648i −0.334191 + 1.67476i
\(534\) −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
\(546\) 0.272749 2.00252i 0.0116726 0.0857001i
\(547\) −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 \(-0.928267\pi\)
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 −0.961443 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 \(0.215723\pi\)
\(572\) −27.3945 + 9.28057i −1.14542 + 0.388040i
\(573\) 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
\(585\) 0.797333 10.7872i 0.0329657 0.445997i
\(586\) −3.35959 −0.138784
\(587\) 32.3746 18.6915i 1.33624 0.771481i 0.349996 0.936751i \(-0.386183\pi\)
0.986248 + 0.165270i \(0.0528496\pi\)
\(588\) −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
\(598\) 4.83275 1.63722i 0.197626 0.0669508i
\(599\) 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 \(0.254156\pi\)
−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 \(-0.271594\pi\)
−0.323702 + 0.946159i \(0.604927\pi\)
\(618\) 4.10145 0.252925i 0.164985 0.0101741i
\(619\) 31.7560 18.3343i 1.27638 0.736920i 0.300201 0.953876i \(-0.402946\pi\)
0.976181 + 0.216956i \(0.0696129\pi\)
\(620\) −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
\(624\) −18.9083 14.6436i −0.756939 0.586214i
\(625\) −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
\(637\) −11.7757 2.34978i −0.466568 0.0931017i
\(638\) −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 0.777379 0.629033i \(-0.216549\pi\)
−0.156069 + 0.987746i \(0.549882\pi\)
\(644\) 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
\(650\) 0.119196 0.597335i 0.00467524 0.0234294i
\(651\) 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 −0.402446 0.915444i \(-0.631840\pi\)
−0.994021 + 0.109194i \(0.965173\pi\)
\(662\) 1.96537 3.40412i 0.0763863 0.132305i
\(663\) −4.10183 + 1.67759i −0.159302 + 0.0651523i
\(664\) −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 \(-0.926157\pi\)
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
\(689\) 2.12719 + 6.27905i 0.0810393 + 0.239213i
\(690\) −2.19420 1.09261i −0.0835317 0.0415950i
\(691\) −31.5057 + 18.1898i −1.19853 + 0.691973i −0.960228 0.279218i \(-0.909925\pi\)
−0.238304 + 0.971191i \(0.576591\pi\)
\(692\) 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 \(0.410370\pi\)
\(702\) 1.61582 2.72151i 0.0609851 0.102717i
\(703\) 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 \(-0.728655\pi\)
0.322961 + 0.946412i \(0.395322\pi\)
\(710\) 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
\(715\) 4.70746 + 13.8955i 0.176049 + 0.519664i
\(716\) −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 −0.101180 0.994868i \(-0.532262\pi\)
−0.912171 + 0.409809i \(0.865595\pi\)
\(734\) −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
\(741\) 15.2679 + 37.3310i 0.560879 + 1.37139i
\(742\) 0.297523 0.515326i 0.0109224 0.0189182i
\(743\) 3.03436 + 1.75189i 0.111320 + 0.0642705i 0.554626 0.832100i \(-0.312861\pi\)
−0.443306 + 0.896370i \(0.646195\pi\)
\(744\) −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
\(754\) 0.842746 4.22333i 0.0306910 0.153805i
\(755\) 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 \(-0.160207\pi\)
0.0202909 + 0.999794i \(0.493541\pi\)
\(762\) 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
\(767\) 7.01924 35.1761i 0.253450 1.27014i
\(768\) 21.3426 + 10.6277i 0.770136 + 0.383493i
\(769\) 5.78804 + 3.34173i 0.208722 + 0.120506i 0.600717 0.799461i \(-0.294882\pi\)
−0.391995 + 0.919967i \(0.628215\pi\)
\(770\) 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