Properties

Label 99.2.e.e.67.1
Level 99
Weight 2
Character 99.67
Analytic conductor 0.791
Analytic rank 0
Dimension 8
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 99 = 3^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 99.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790518980011\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{3})\)
Coefficient field: 8.0.508277025.1
Defining polynomial: \(x^{8} - 3 x^{7} + 5 x^{6} - 15 x^{5} + 21 x^{4} + 3 x^{3} - 22 x^{2} + 3 x + 19\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 67.1
Root \(-0.734668 - 0.348716i\) of defining polynomial
Character \(\chi\) \(=\) 99.67
Dual form 99.2.e.e.34.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.23467 - 2.13851i) q^{2} +(1.66933 + 0.461883i) q^{3} +(-2.04881 + 3.54864i) q^{4} +(1.21814 - 2.10988i) q^{5} +(-1.07333 - 4.14015i) q^{6} +(-1.16933 - 2.02534i) q^{7} +5.17972 q^{8} +(2.57333 + 1.54207i) q^{9} +O(q^{10})\) \(q+(-1.23467 - 2.13851i) q^{2} +(1.66933 + 0.461883i) q^{3} +(-2.04881 + 3.54864i) q^{4} +(1.21814 - 2.10988i) q^{5} +(-1.07333 - 4.14015i) q^{6} +(-1.16933 - 2.02534i) q^{7} +5.17972 q^{8} +(2.57333 + 1.54207i) q^{9} -6.01598 q^{10} +(-0.500000 - 0.866025i) q^{11} +(-5.05919 + 4.97754i) q^{12} +(-2.35519 + 4.07931i) q^{13} +(-2.88747 + 5.00124i) q^{14} +(3.00799 - 2.95945i) q^{15} +(-2.29761 - 3.97958i) q^{16} -3.20799 q^{17} +(0.120523 - 7.40702i) q^{18} +7.77494 q^{19} +(4.99146 + 8.64547i) q^{20} +(-1.01653 - 3.92106i) q^{21} +(-1.23467 + 2.13851i) q^{22} +(-1.37948 + 2.38932i) q^{23} +(8.64666 + 2.39242i) q^{24} +(-0.467722 - 0.810117i) q^{25} +11.6315 q^{26} +(3.58348 + 3.76280i) q^{27} +9.58293 q^{28} +(1.18586 + 2.05397i) q^{29} +(-10.0427 - 2.77868i) q^{30} +(0.685860 - 1.18794i) q^{31} +(-0.493856 + 0.855383i) q^{32} +(-0.434663 - 1.67662i) q^{33} +(3.96080 + 6.86030i) q^{34} -5.69762 q^{35} +(-10.7445 + 5.97241i) q^{36} -8.47256 q^{37} +(-9.59946 - 16.6268i) q^{38} +(-5.81575 + 5.72189i) q^{39} +(6.30961 - 10.9286i) q^{40} +(-1.77332 + 3.07149i) q^{41} +(-7.13013 + 7.01505i) q^{42} +(3.73467 + 6.46863i) q^{43} +4.09762 q^{44} +(6.38825 - 3.55095i) q^{45} +6.81278 q^{46} +(-0.103993 - 0.180122i) q^{47} +(-1.99737 - 7.70446i) q^{48} +(0.765332 - 1.32559i) q^{49} +(-1.15496 + 2.00045i) q^{50} +(-5.35519 - 1.48171i) q^{51} +(-9.65066 - 16.7154i) q^{52} -9.11360 q^{53} +(3.62237 - 12.3091i) q^{54} -2.43628 q^{55} +(-6.05680 - 10.4907i) q^{56} +(12.9789 + 3.59111i) q^{57} +(2.92829 - 5.07194i) q^{58} +(0.120523 - 0.208751i) q^{59} +(4.33921 + 16.7376i) q^{60} +(-0.830670 - 1.43876i) q^{61} -3.38724 q^{62} +(0.114145 - 7.01505i) q^{63} -6.75145 q^{64} +(5.73789 + 9.93832i) q^{65} +(-3.04881 + 2.99960i) q^{66} +(3.84027 - 6.65155i) q^{67} +(6.57255 - 11.3840i) q^{68} +(-3.40639 + 3.35142i) q^{69} +(7.03467 + 12.1844i) q^{70} +1.07731 q^{71} +(13.3291 + 7.98749i) q^{72} -2.37495 q^{73} +(10.4608 + 18.1186i) q^{74} +(-0.406602 - 1.56839i) q^{75} +(-15.9294 + 27.5904i) q^{76} +(-1.16933 + 2.02534i) q^{77} +(19.4168 + 5.37239i) q^{78} +(-6.35680 - 11.0103i) q^{79} -11.1952 q^{80} +(4.24404 + 7.93651i) q^{81} +8.75786 q^{82} +(-5.25042 - 9.09399i) q^{83} +(15.9971 + 4.42619i) q^{84} +(-3.90777 + 6.76846i) q^{85} +(9.22215 - 15.9732i) q^{86} +(1.03090 + 3.97648i) q^{87} +(-2.58986 - 4.48577i) q^{88} -14.2933 q^{89} +(-15.4811 - 9.27707i) q^{90} +11.0160 q^{91} +(-5.65257 - 9.79053i) q^{92} +(1.69362 - 1.66628i) q^{93} +(-0.256795 + 0.444781i) q^{94} +(9.47095 - 16.4042i) q^{95} +(-1.21950 + 1.19981i) q^{96} +(-4.46694 - 7.73697i) q^{97} -3.77972 q^{98} +(0.0488078 - 2.99960i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - q^{2} + 5q^{3} - 11q^{4} - 4q^{5} + 17q^{6} - q^{7} - 5q^{9} + O(q^{10}) \) \( 8q - q^{2} + 5q^{3} - 11q^{4} - 4q^{5} + 17q^{6} - q^{7} - 5q^{9} + 2q^{10} - 4q^{11} - 2q^{12} - 7q^{13} - q^{14} - q^{15} - 17q^{16} - 10q^{17} - 2q^{18} + 18q^{19} + 10q^{20} - 13q^{21} - q^{22} - 14q^{23} + 18q^{24} - 14q^{25} + 44q^{26} + 5q^{27} - 2q^{28} + 6q^{29} - 37q^{30} + 2q^{31} + 34q^{32} - 4q^{33} - 16q^{34} - 16q^{35} + 11q^{36} + 6q^{37} - 3q^{38} - 22q^{39} - 12q^{40} + 2q^{41} - q^{42} + 21q^{43} + 22q^{44} + 49q^{45} + 4q^{46} + 7q^{47} - 59q^{48} + 15q^{49} - 23q^{50} - 31q^{51} + 10q^{52} - 12q^{53} - 37q^{54} + 8q^{55} - 18q^{56} + 33q^{57} + 21q^{58} - 2q^{59} + 73q^{60} - 15q^{61} - 40q^{62} - 5q^{63} + 32q^{64} - 19q^{65} - 19q^{66} - 14q^{67} + 7q^{68} - 2q^{69} + 38q^{70} - 6q^{71} + 75q^{72} + 44q^{73} + 36q^{74} + 10q^{75} - 42q^{76} - q^{77} + 29q^{78} - 11q^{79} - 68q^{80} + 7q^{81} - 34q^{82} - 18q^{83} + 34q^{84} - 13q^{85} + 24q^{86} - 9q^{87} - 12q^{89} - 80q^{90} + 38q^{91} - 67q^{92} + 20q^{93} + 19q^{94} + 30q^{95} - 50q^{96} - 26q^{97} + 30q^{98} - 5q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.23467 2.13851i −0.873042 1.51215i −0.858834 0.512254i \(-0.828811\pi\)
−0.0142076 0.999899i \(-0.504523\pi\)
\(3\) 1.66933 + 0.461883i 0.963788 + 0.266668i
\(4\) −2.04881 + 3.54864i −1.02440 + 1.77432i
\(5\) 1.21814 2.10988i 0.544768 0.943566i −0.453853 0.891076i \(-0.649951\pi\)
0.998621 0.0524895i \(-0.0167156\pi\)
\(6\) −1.07333 4.14015i −0.438185 1.69021i
\(7\) −1.16933 2.02534i −0.441965 0.765506i 0.555870 0.831269i \(-0.312385\pi\)
−0.997835 + 0.0657628i \(0.979052\pi\)
\(8\) 5.17972 1.83131
\(9\) 2.57333 + 1.54207i 0.857776 + 0.514023i
\(10\) −6.01598 −1.90242
\(11\) −0.500000 0.866025i −0.150756 0.261116i
\(12\) −5.05919 + 4.97754i −1.46046 + 1.43689i
\(13\) −2.35519 + 4.07931i −0.653212 + 1.13140i 0.329127 + 0.944286i \(0.393246\pi\)
−0.982339 + 0.187111i \(0.940088\pi\)
\(14\) −2.88747 + 5.00124i −0.771708 + 1.33664i
\(15\) 3.00799 2.95945i 0.776660 0.764126i
\(16\) −2.29761 3.97958i −0.574403 0.994895i
\(17\) −3.20799 −0.778051 −0.389026 0.921227i \(-0.627188\pi\)
−0.389026 + 0.921227i \(0.627188\pi\)
\(18\) 0.120523 7.40702i 0.0284075 1.74585i
\(19\) 7.77494 1.78369 0.891846 0.452338i \(-0.149410\pi\)
0.891846 + 0.452338i \(0.149410\pi\)
\(20\) 4.99146 + 8.64547i 1.11612 + 1.93318i
\(21\) −1.01653 3.92106i −0.221825 0.855644i
\(22\) −1.23467 + 2.13851i −0.263232 + 0.455931i
\(23\) −1.37948 + 2.38932i −0.287641 + 0.498209i −0.973246 0.229765i \(-0.926204\pi\)
0.685605 + 0.727973i \(0.259538\pi\)
\(24\) 8.64666 + 2.39242i 1.76499 + 0.488351i
\(25\) −0.467722 0.810117i −0.0935443 0.162023i
\(26\) 11.6315 2.28113
\(27\) 3.58348 + 3.76280i 0.689641 + 0.724151i
\(28\) 9.58293 1.81100
\(29\) 1.18586 + 2.05397i 0.220209 + 0.381413i 0.954871 0.297020i \(-0.0959928\pi\)
−0.734663 + 0.678433i \(0.762660\pi\)
\(30\) −10.0427 2.77868i −1.83353 0.507315i
\(31\) 0.685860 1.18794i 0.123184 0.213361i −0.797838 0.602872i \(-0.794023\pi\)
0.921022 + 0.389511i \(0.127356\pi\)
\(32\) −0.493856 + 0.855383i −0.0873022 + 0.151212i
\(33\) −0.434663 1.67662i −0.0756651 0.291863i
\(34\) 3.96080 + 6.86030i 0.679271 + 1.17653i
\(35\) −5.69762 −0.963074
\(36\) −10.7445 + 5.97241i −1.79075 + 0.995401i
\(37\) −8.47256 −1.39288 −0.696440 0.717615i \(-0.745234\pi\)
−0.696440 + 0.717615i \(0.745234\pi\)
\(38\) −9.59946 16.6268i −1.55724 2.69722i
\(39\) −5.81575 + 5.72189i −0.931266 + 0.916236i
\(40\) 6.30961 10.9286i 0.997637 1.72796i
\(41\) −1.77332 + 3.07149i −0.276947 + 0.479686i −0.970624 0.240600i \(-0.922656\pi\)
0.693678 + 0.720285i \(0.255989\pi\)
\(42\) −7.13013 + 7.01505i −1.10020 + 1.08245i
\(43\) 3.73467 + 6.46863i 0.569531 + 0.986457i 0.996612 + 0.0822439i \(0.0262087\pi\)
−0.427081 + 0.904213i \(0.640458\pi\)
\(44\) 4.09762 0.617739
\(45\) 6.38825 3.55095i 0.952304 0.529345i
\(46\) 6.81278 1.00449
\(47\) −0.103993 0.180122i −0.0151690 0.0262735i 0.858341 0.513079i \(-0.171495\pi\)
−0.873510 + 0.486806i \(0.838162\pi\)
\(48\) −1.99737 7.70446i −0.288296 1.11204i
\(49\) 0.765332 1.32559i 0.109333 0.189371i
\(50\) −1.15496 + 2.00045i −0.163336 + 0.282907i
\(51\) −5.35519 1.48171i −0.749877 0.207481i
\(52\) −9.65066 16.7154i −1.33831 2.31801i
\(53\) −9.11360 −1.25185 −0.625925 0.779884i \(-0.715278\pi\)
−0.625925 + 0.779884i \(0.715278\pi\)
\(54\) 3.62237 12.3091i 0.492942 1.67506i
\(55\) −2.43628 −0.328507
\(56\) −6.05680 10.4907i −0.809374 1.40188i
\(57\) 12.9789 + 3.59111i 1.71910 + 0.475654i
\(58\) 2.92829 5.07194i 0.384503 0.665978i
\(59\) 0.120523 0.208751i 0.0156907 0.0271771i −0.858073 0.513527i \(-0.828339\pi\)
0.873764 + 0.486350i \(0.161672\pi\)
\(60\) 4.33921 + 16.7376i 0.560189 + 2.16082i
\(61\) −0.830670 1.43876i −0.106356 0.184215i 0.807935 0.589271i \(-0.200585\pi\)
−0.914292 + 0.405057i \(0.867252\pi\)
\(62\) −3.38724 −0.430179
\(63\) 0.114145 7.01505i 0.0143809 0.883814i
\(64\) −6.75145 −0.843932
\(65\) 5.73789 + 9.93832i 0.711698 + 1.23270i
\(66\) −3.04881 + 2.99960i −0.375282 + 0.369226i
\(67\) 3.84027 6.65155i 0.469164 0.812616i −0.530214 0.847864i \(-0.677889\pi\)
0.999379 + 0.0352474i \(0.0112219\pi\)
\(68\) 6.57255 11.3840i 0.797039 1.38051i
\(69\) −3.40639 + 3.35142i −0.410081 + 0.403463i
\(70\) 7.03467 + 12.1844i 0.840804 + 1.45632i
\(71\) 1.07731 0.127854 0.0639268 0.997955i \(-0.479638\pi\)
0.0639268 + 0.997955i \(0.479638\pi\)
\(72\) 13.3291 + 7.98749i 1.57085 + 0.941334i
\(73\) −2.37495 −0.277966 −0.138983 0.990295i \(-0.544383\pi\)
−0.138983 + 0.990295i \(0.544383\pi\)
\(74\) 10.4608 + 18.1186i 1.21604 + 2.10625i
\(75\) −0.406602 1.56839i −0.0469504 0.181102i
\(76\) −15.9294 + 27.5904i −1.82722 + 3.16484i
\(77\) −1.16933 + 2.02534i −0.133258 + 0.230809i
\(78\) 19.4168 + 5.37239i 2.19852 + 0.608304i
\(79\) −6.35680 11.0103i −0.715196 1.23876i −0.962884 0.269916i \(-0.913004\pi\)
0.247687 0.968840i \(-0.420329\pi\)
\(80\) −11.1952 −1.25166
\(81\) 4.24404 + 7.93651i 0.471560 + 0.881834i
\(82\) 8.75786 0.967144
\(83\) −5.25042 9.09399i −0.576308 0.998195i −0.995898 0.0904812i \(-0.971159\pi\)
0.419590 0.907714i \(-0.362174\pi\)
\(84\) 15.9971 + 4.42619i 1.74542 + 0.482937i
\(85\) −3.90777 + 6.76846i −0.423857 + 0.734142i
\(86\) 9.22215 15.9732i 0.994450 1.72244i
\(87\) 1.03090 + 3.97648i 0.110524 + 0.426324i
\(88\) −2.58986 4.48577i −0.276080 0.478184i
\(89\) −14.2933 −1.51509 −0.757544 0.652784i \(-0.773601\pi\)
−0.757544 + 0.652784i \(0.773601\pi\)
\(90\) −15.4811 9.27707i −1.63185 0.977889i
\(91\) 11.0160 1.15479
\(92\) −5.65257 9.79053i −0.589321 1.02073i
\(93\) 1.69362 1.66628i 0.175620 0.172786i
\(94\) −0.256795 + 0.444781i −0.0264863 + 0.0458757i
\(95\) 9.47095 16.4042i 0.971699 1.68303i
\(96\) −1.21950 + 1.19981i −0.124464 + 0.122455i
\(97\) −4.46694 7.73697i −0.453549 0.785570i 0.545054 0.838401i \(-0.316509\pi\)
−0.998603 + 0.0528305i \(0.983176\pi\)
\(98\) −3.77972 −0.381810
\(99\) 0.0488078 2.99960i 0.00490536 0.301471i
\(100\) 3.83309 0.383309
\(101\) 2.43844 + 4.22350i 0.242633 + 0.420254i 0.961464 0.274932i \(-0.0886554\pi\)
−0.718830 + 0.695186i \(0.755322\pi\)
\(102\) 3.44322 + 13.2815i 0.340930 + 1.31507i
\(103\) 5.08509 8.80764i 0.501049 0.867843i −0.498950 0.866631i \(-0.666281\pi\)
0.999999 0.00121186i \(-0.000385748\pi\)
\(104\) −12.1992 + 21.1297i −1.19623 + 2.07193i
\(105\) −9.51122 2.63164i −0.928200 0.256821i
\(106\) 11.2523 + 19.4895i 1.09292 + 1.89299i
\(107\) 9.59845 0.927917 0.463959 0.885857i \(-0.346429\pi\)
0.463959 + 0.885857i \(0.346429\pi\)
\(108\) −20.6947 + 5.00722i −1.99135 + 0.481820i
\(109\) −1.95143 −0.186913 −0.0934564 0.995623i \(-0.529792\pi\)
−0.0934564 + 0.995623i \(0.529792\pi\)
\(110\) 3.00799 + 5.20999i 0.286801 + 0.496753i
\(111\) −14.1435 3.91333i −1.34244 0.371437i
\(112\) −5.37333 + 9.30689i −0.507732 + 0.879418i
\(113\) 3.95281 6.84646i 0.371849 0.644061i −0.618001 0.786177i \(-0.712057\pi\)
0.989850 + 0.142116i \(0.0453907\pi\)
\(114\) −8.34506 32.1894i −0.781587 3.01481i
\(115\) 3.36079 + 5.82106i 0.313395 + 0.542816i
\(116\) −9.71839 −0.902330
\(117\) −12.3513 + 6.86553i −1.14187 + 0.634719i
\(118\) −0.595222 −0.0547946
\(119\) 3.75120 + 6.49726i 0.343872 + 0.595603i
\(120\) 15.5805 15.3291i 1.42230 1.39935i
\(121\) −0.500000 + 0.866025i −0.0454545 + 0.0787296i
\(122\) −2.05120 + 3.55278i −0.185707 + 0.321654i
\(123\) −4.37893 + 4.30826i −0.394835 + 0.388463i
\(124\) 2.81039 + 4.86774i 0.252380 + 0.437136i
\(125\) 9.90238 0.885696
\(126\) −15.1427 + 8.41716i −1.34902 + 0.749860i
\(127\) −0.943412 −0.0837142 −0.0418571 0.999124i \(-0.513327\pi\)
−0.0418571 + 0.999124i \(0.513327\pi\)
\(128\) 9.32351 + 16.1488i 0.824090 + 1.42737i
\(129\) 3.24664 + 12.5233i 0.285851 + 1.10261i
\(130\) 14.1688 24.5411i 1.24268 2.15239i
\(131\) 1.53066 2.65119i 0.133735 0.231636i −0.791379 0.611326i \(-0.790636\pi\)
0.925113 + 0.379691i \(0.123970\pi\)
\(132\) 6.84027 + 1.89262i 0.595369 + 0.164731i
\(133\) −9.09147 15.7469i −0.788331 1.36543i
\(134\) −18.9658 −1.63840
\(135\) 12.3042 2.97709i 1.05898 0.256227i
\(136\) −16.6165 −1.42485
\(137\) 10.2280 + 17.7154i 0.873835 + 1.51353i 0.857999 + 0.513652i \(0.171708\pi\)
0.0158365 + 0.999875i \(0.494959\pi\)
\(138\) 11.3728 + 3.14671i 0.968116 + 0.267866i
\(139\) −6.45442 + 11.1794i −0.547457 + 0.948223i 0.450991 + 0.892528i \(0.351071\pi\)
−0.998448 + 0.0556944i \(0.982263\pi\)
\(140\) 11.6733 20.2188i 0.986577 1.70880i
\(141\) −0.0904042 0.348716i −0.00761341 0.0293672i
\(142\) −1.33012 2.30384i −0.111621 0.193334i
\(143\) 4.71038 0.393902
\(144\) 0.224282 13.7838i 0.0186902 1.14865i
\(145\) 5.77816 0.479850
\(146\) 2.93227 + 5.07884i 0.242676 + 0.420328i
\(147\) 1.88986 1.85936i 0.155873 0.153358i
\(148\) 17.3587 30.0661i 1.42687 2.47142i
\(149\) −5.04027 + 8.73000i −0.412915 + 0.715190i −0.995207 0.0977899i \(-0.968823\pi\)
0.582292 + 0.812980i \(0.302156\pi\)
\(150\) −2.85199 + 2.80596i −0.232864 + 0.229105i
\(151\) −2.36295 4.09275i −0.192294 0.333063i 0.753716 0.657200i \(-0.228259\pi\)
−0.946010 + 0.324137i \(0.894926\pi\)
\(152\) 40.2720 3.26649
\(153\) −8.25520 4.94694i −0.667394 0.399936i
\(154\) 5.77494 0.465358
\(155\) −1.67094 2.89416i −0.134213 0.232465i
\(156\) −8.38957 32.3611i −0.671703 2.59096i
\(157\) 2.47733 4.29086i 0.197712 0.342448i −0.750074 0.661354i \(-0.769982\pi\)
0.947786 + 0.318906i \(0.103316\pi\)
\(158\) −15.6971 + 27.1881i −1.24879 + 2.16297i
\(159\) −15.2136 4.20941i −1.20652 0.333828i
\(160\) 1.20317 + 2.08395i 0.0951189 + 0.164751i
\(161\) 6.45226 0.508509
\(162\) 11.7323 18.8749i 0.921776 1.48295i
\(163\) −8.60277 −0.673821 −0.336910 0.941537i \(-0.609382\pi\)
−0.336910 + 0.941537i \(0.609382\pi\)
\(164\) −7.26640 12.5858i −0.567410 0.982784i
\(165\) −4.06695 1.12527i −0.316612 0.0876025i
\(166\) −12.9650 + 22.4561i −1.00628 + 1.74293i
\(167\) −3.58908 + 6.21646i −0.277731 + 0.481044i −0.970821 0.239807i \(-0.922916\pi\)
0.693089 + 0.720852i \(0.256249\pi\)
\(168\) −5.26533 20.3100i −0.406229 1.56695i
\(169\) −4.59384 7.95677i −0.353372 0.612059i
\(170\) 19.2992 1.48018
\(171\) 20.0075 + 11.9895i 1.53001 + 0.916860i
\(172\) −30.6065 −2.33372
\(173\) −3.62591 6.28026i −0.275673 0.477479i 0.694632 0.719365i \(-0.255567\pi\)
−0.970305 + 0.241886i \(0.922234\pi\)
\(174\) 7.23092 7.11422i 0.548174 0.539327i
\(175\) −1.09384 + 1.89459i −0.0826867 + 0.143218i
\(176\) −2.29761 + 3.97958i −0.173189 + 0.299972i
\(177\) 0.297611 0.292808i 0.0223698 0.0220088i
\(178\) 17.6475 + 30.5663i 1.32274 + 2.29104i
\(179\) −7.29009 −0.544887 −0.272443 0.962172i \(-0.587832\pi\)
−0.272443 + 0.962172i \(0.587832\pi\)
\(180\) −0.487244 + 29.9448i −0.0363170 + 2.23195i
\(181\) 13.4235 0.997762 0.498881 0.866670i \(-0.333744\pi\)
0.498881 + 0.866670i \(0.333744\pi\)
\(182\) −13.6011 23.5578i −1.00818 1.74622i
\(183\) −0.722123 2.78544i −0.0533808 0.205906i
\(184\) −7.14530 + 12.3760i −0.526758 + 0.912372i
\(185\) −10.3208 + 17.8761i −0.758797 + 1.31427i
\(186\) −5.65441 1.56451i −0.414602 0.114715i
\(187\) 1.60399 + 2.77820i 0.117296 + 0.203162i
\(188\) 0.852250 0.0621567
\(189\) 3.43068 11.6577i 0.249545 0.847975i
\(190\) −46.7739 −3.39333
\(191\) 1.15041 + 1.99256i 0.0832406 + 0.144177i 0.904640 0.426176i \(-0.140140\pi\)
−0.821400 + 0.570353i \(0.806806\pi\)
\(192\) −11.2704 3.11838i −0.813372 0.225050i
\(193\) −7.04904 + 12.2093i −0.507401 + 0.878844i 0.492562 + 0.870277i \(0.336060\pi\)
−0.999963 + 0.00856725i \(0.997273\pi\)
\(194\) −11.0304 + 19.1052i −0.791935 + 1.37167i
\(195\) 4.98810 + 19.2406i 0.357205 + 1.37785i
\(196\) 3.13604 + 5.43178i 0.224003 + 0.387984i
\(197\) 1.31362 0.0935913 0.0467957 0.998904i \(-0.485099\pi\)
0.0467957 + 0.998904i \(0.485099\pi\)
\(198\) −6.47493 + 3.59914i −0.460153 + 0.255779i
\(199\) 15.8491 1.12351 0.561755 0.827303i \(-0.310126\pi\)
0.561755 + 0.827303i \(0.310126\pi\)
\(200\) −2.42266 4.19618i −0.171308 0.296715i
\(201\) 9.48292 9.32988i 0.668874 0.658079i
\(202\) 6.02132 10.4292i 0.423658 0.733798i
\(203\) 2.77332 4.80354i 0.194649 0.337142i
\(204\) 16.2298 15.9679i 1.13631 1.11798i
\(205\) 4.32031 + 7.48299i 0.301743 + 0.522635i
\(206\) −25.1136 −1.74975
\(207\) −7.23435 + 4.02127i −0.502822 + 0.279497i
\(208\) 21.6452 1.50083
\(209\) −3.88747 6.73329i −0.268902 0.465752i
\(210\) 6.11542 + 23.5890i 0.422004 + 1.62780i
\(211\) 4.29225 7.43439i 0.295490 0.511804i −0.679608 0.733575i \(-0.737850\pi\)
0.975099 + 0.221771i \(0.0711836\pi\)
\(212\) 18.6720 32.3409i 1.28240 2.22118i
\(213\) 1.79839 + 0.497592i 0.123224 + 0.0340945i
\(214\) −11.8509 20.5263i −0.810110 1.40315i
\(215\) 18.1974 1.24105
\(216\) 18.5614 + 19.4902i 1.26294 + 1.32614i
\(217\) −3.20799 −0.217772
\(218\) 2.40936 + 4.17314i 0.163183 + 0.282641i
\(219\) −3.96457 1.09695i −0.267901 0.0741248i
\(220\) 4.99146 8.64547i 0.336524 0.582877i
\(221\) 7.55542 13.0864i 0.508233 0.880285i
\(222\) 9.09384 + 35.0776i 0.610339 + 2.35426i
\(223\) 13.2592 + 22.9656i 0.887901 + 1.53789i 0.842352 + 0.538927i \(0.181170\pi\)
0.0455487 + 0.998962i \(0.485496\pi\)
\(224\) 2.30992 0.154338
\(225\) 0.0456569 2.80596i 0.00304379 0.187064i
\(226\) −19.5216 −1.29856
\(227\) −11.8427 20.5121i −0.786025 1.36144i −0.928385 0.371621i \(-0.878802\pi\)
0.142359 0.989815i \(-0.454531\pi\)
\(228\) −39.3349 + 38.7001i −2.60502 + 2.56298i
\(229\) 5.99547 10.3845i 0.396192 0.686224i −0.597061 0.802196i \(-0.703665\pi\)
0.993253 + 0.115972i \(0.0369982\pi\)
\(230\) 8.29891 14.3741i 0.547214 0.947803i
\(231\) −2.88747 + 2.84087i −0.189981 + 0.186915i
\(232\) 6.14242 + 10.6390i 0.403269 + 0.698483i
\(233\) 18.9188 1.23941 0.619707 0.784833i \(-0.287251\pi\)
0.619707 + 0.784833i \(0.287251\pi\)
\(234\) 29.9317 + 17.9366i 1.95670 + 1.17255i
\(235\) −0.506713 −0.0330543
\(236\) 0.493856 + 0.855383i 0.0321473 + 0.0556807i
\(237\) −5.52613 21.3159i −0.358961 1.38462i
\(238\) 9.26296 16.0439i 0.600429 1.03997i
\(239\) 8.28293 14.3465i 0.535778 0.927995i −0.463347 0.886177i \(-0.653352\pi\)
0.999125 0.0418181i \(-0.0133150\pi\)
\(240\) −18.6885 5.17089i −1.20634 0.333779i
\(241\) 8.14450 + 14.1067i 0.524633 + 0.908691i 0.999589 + 0.0286815i \(0.00913084\pi\)
−0.474955 + 0.880010i \(0.657536\pi\)
\(242\) 2.46934 0.158735
\(243\) 3.41897 + 15.2089i 0.219327 + 0.975651i
\(244\) 6.80753 0.435807
\(245\) −1.86456 3.22952i −0.119122 0.206326i
\(246\) 14.6198 + 4.04511i 0.932122 + 0.257907i
\(247\) −18.3115 + 31.7164i −1.16513 + 2.01806i
\(248\) 3.55256 6.15321i 0.225588 0.390729i
\(249\) −4.56432 17.6059i −0.289252 1.11573i
\(250\) −12.2262 21.1763i −0.773250 1.33931i
\(251\) −15.1248 −0.954671 −0.477336 0.878721i \(-0.658397\pi\)
−0.477336 + 0.878721i \(0.658397\pi\)
\(252\) 24.6600 + 14.7776i 1.55344 + 0.930899i
\(253\) 2.75895 0.173454
\(254\) 1.16480 + 2.01749i 0.0730860 + 0.126589i
\(255\) −9.64960 + 9.49386i −0.604281 + 0.594529i
\(256\) 16.2714 28.1829i 1.01696 1.76143i
\(257\) −9.75281 + 16.8924i −0.608364 + 1.05372i 0.383147 + 0.923688i \(0.374840\pi\)
−0.991510 + 0.130029i \(0.958493\pi\)
\(258\) 22.7726 22.4050i 1.41776 1.39488i
\(259\) 9.90723 + 17.1598i 0.615605 + 1.06626i
\(260\) −47.0234 −2.91627
\(261\) −0.115758 + 7.11422i −0.00716526 + 0.440359i
\(262\) −7.55945 −0.467024
\(263\) −4.71975 8.17485i −0.291032 0.504083i 0.683022 0.730398i \(-0.260665\pi\)
−0.974054 + 0.226315i \(0.927332\pi\)
\(264\) −2.25143 8.68444i −0.138566 0.534490i
\(265\) −11.1016 + 19.2286i −0.681967 + 1.18120i
\(266\) −22.4499 + 38.8843i −1.37649 + 2.38415i
\(267\) −23.8603 6.60184i −1.46022 0.404026i
\(268\) 15.7360 + 27.2555i 0.961227 + 1.66489i
\(269\) 7.33069 0.446960 0.223480 0.974708i \(-0.428258\pi\)
0.223480 + 0.974708i \(0.428258\pi\)
\(270\) −21.5582 22.6369i −1.31199 1.37764i
\(271\) −2.50286 −0.152038 −0.0760190 0.997106i \(-0.524221\pi\)
−0.0760190 + 0.997106i \(0.524221\pi\)
\(272\) 7.37071 + 12.7664i 0.446915 + 0.774079i
\(273\) 18.3893 + 5.08809i 1.11297 + 0.307945i
\(274\) 25.2563 43.7452i 1.52579 2.64274i
\(275\) −0.467722 + 0.810117i −0.0282047 + 0.0488519i
\(276\) −4.91392 18.9545i −0.295783 1.14092i
\(277\) −10.9945 19.0430i −0.660593 1.14418i −0.980460 0.196718i \(-0.936972\pi\)
0.319867 0.947462i \(-0.396362\pi\)
\(278\) 31.8762 1.91181
\(279\) 3.59684 1.99933i 0.215337 0.119697i
\(280\) −29.5121 −1.76368
\(281\) 8.49685 + 14.7170i 0.506880 + 0.877941i 0.999968 + 0.00796209i \(0.00253444\pi\)
−0.493089 + 0.869979i \(0.664132\pi\)
\(282\) −0.634112 + 0.623878i −0.0377608 + 0.0371514i
\(283\) −1.88908 + 3.27199i −0.112294 + 0.194499i −0.916695 0.399588i \(-0.869153\pi\)
0.804401 + 0.594087i \(0.202487\pi\)
\(284\) −2.20721 + 3.82299i −0.130974 + 0.226853i
\(285\) 23.3869 23.0095i 1.38532 1.36297i
\(286\) −5.81575 10.0732i −0.343893 0.595640i
\(287\) 8.29441 0.489603
\(288\) −2.58991 + 1.43962i −0.152612 + 0.0848305i
\(289\) −6.70882 −0.394636
\(290\) −7.13411 12.3566i −0.418929 0.725607i
\(291\) −3.88323 14.9788i −0.227639 0.878071i
\(292\) 4.86581 8.42783i 0.284750 0.493201i
\(293\) 11.6877 20.2437i 0.682803 1.18265i −0.291319 0.956626i \(-0.594094\pi\)
0.974122 0.226024i \(-0.0725727\pi\)
\(294\) −6.30961 1.74579i −0.367984 0.101817i
\(295\) −0.293627 0.508576i −0.0170956 0.0296105i
\(296\) −43.8855 −2.55079
\(297\) 1.46694 4.98479i 0.0851206 0.289247i
\(298\) 24.8922 1.44197
\(299\) −6.49786 11.2546i −0.375781 0.650872i
\(300\) 6.39869 + 1.77044i 0.369428 + 0.102216i
\(301\) 8.73412 15.1279i 0.503426 0.871960i
\(302\) −5.83491 + 10.1064i −0.335761 + 0.581556i
\(303\) 2.11980 + 8.17668i 0.121779 + 0.469738i
\(304\) −17.8638 30.9410i −1.02456 1.77459i
\(305\) −4.04748 −0.231758
\(306\) −0.386635 + 23.7616i −0.0221025 + 1.35836i
\(307\) 15.5574 0.887909 0.443954 0.896049i \(-0.353575\pi\)
0.443954 + 0.896049i \(0.353575\pi\)
\(308\) −4.79147 8.29906i −0.273019 0.472883i
\(309\) 12.5568 12.3541i 0.714331 0.702803i
\(310\) −4.12612 + 7.14665i −0.234348 + 0.405902i
\(311\) −12.1419 + 21.0304i −0.688504 + 1.19252i 0.283818 + 0.958878i \(0.408399\pi\)
−0.972322 + 0.233645i \(0.924935\pi\)
\(312\) −30.1239 + 29.6378i −1.70543 + 1.67791i
\(313\) −3.90184 6.75818i −0.220545 0.381995i 0.734429 0.678686i \(-0.237450\pi\)
−0.954974 + 0.296691i \(0.904117\pi\)
\(314\) −12.2347 −0.690444
\(315\) −14.6619 8.78614i −0.826102 0.495043i
\(316\) 52.0955 2.93060
\(317\) −6.78748 11.7563i −0.381223 0.660298i 0.610014 0.792390i \(-0.291164\pi\)
−0.991237 + 0.132093i \(0.957830\pi\)
\(318\) 9.78188 + 37.7316i 0.548541 + 2.11588i
\(319\) 1.18586 2.05397i 0.0663954 0.115000i
\(320\) −8.22420 + 14.2447i −0.459747 + 0.796305i
\(321\) 16.0230 + 4.43336i 0.894316 + 0.247446i
\(322\) −7.96640 13.7982i −0.443950 0.768944i
\(323\) −24.9419 −1.38780
\(324\) −36.8590 1.19981i −2.04772 0.0666563i
\(325\) 4.40629 0.244417
\(326\) 10.6216 + 18.3971i 0.588274 + 1.01892i
\(327\) −3.25757 0.901330i −0.180144 0.0498437i
\(328\) −9.18531 + 15.9094i −0.507174 + 0.878451i
\(329\) −0.243205 + 0.421244i −0.0134083 + 0.0232239i
\(330\) 2.61492 + 10.0865i 0.143947 + 0.555246i
\(331\) −10.3955 18.0055i −0.571387 0.989672i −0.996424 0.0844958i \(-0.973072\pi\)
0.425036 0.905176i \(-0.360261\pi\)
\(332\) 43.0284 2.36149
\(333\) −21.8027 13.0653i −1.19478 0.715973i
\(334\) 17.7253 0.969884
\(335\) −9.35597 16.2050i −0.511171 0.885375i
\(336\) −13.2686 + 13.0544i −0.723859 + 0.712177i
\(337\) −3.33252 + 5.77209i −0.181534 + 0.314426i −0.942403 0.334480i \(-0.891439\pi\)
0.760869 + 0.648905i \(0.224773\pi\)
\(338\) −11.3437 + 19.6479i −0.617018 + 1.06871i
\(339\) 9.76080 9.60327i 0.530134 0.521578i
\(340\) −16.0125 27.7345i −0.868402 1.50412i
\(341\) −1.37172 −0.0742828
\(342\) 0.937057 57.5892i 0.0506702 3.11406i
\(343\) −19.9503 −1.07722
\(344\) 19.3445 + 33.5057i 1.04299 + 1.80651i
\(345\) 2.92162 + 11.2696i 0.157295 + 0.606732i
\(346\) −8.95359 + 15.5081i −0.481348 + 0.833719i
\(347\) 3.45734 5.98828i 0.185600 0.321468i −0.758179 0.652047i \(-0.773911\pi\)
0.943778 + 0.330579i \(0.107244\pi\)
\(348\) −16.2232 4.48876i −0.869655 0.240623i
\(349\) −2.83783 4.91526i −0.151905 0.263108i 0.780022 0.625751i \(-0.215208\pi\)
−0.931928 + 0.362644i \(0.881874\pi\)
\(350\) 5.40213 0.288756
\(351\) −23.7894 + 5.75601i −1.26978 + 0.307233i
\(352\) 0.987711 0.0526452
\(353\) 3.78324 + 6.55277i 0.201362 + 0.348769i 0.948967 0.315374i \(-0.102130\pi\)
−0.747606 + 0.664143i \(0.768797\pi\)
\(354\) −0.993622 0.274923i −0.0528104 0.0146120i
\(355\) 1.31232 2.27300i 0.0696505 0.120638i
\(356\) 29.2843 50.7218i 1.55206 2.68825i
\(357\) 3.26101 + 12.5787i 0.172591 + 0.665735i
\(358\) 9.00083 + 15.5899i 0.475709 + 0.823952i
\(359\) 29.1504 1.53850 0.769248 0.638950i \(-0.220631\pi\)
0.769248 + 0.638950i \(0.220631\pi\)
\(360\) 33.0893 18.3929i 1.74396 0.969392i
\(361\) 41.4497 2.18156
\(362\) −16.5736 28.7063i −0.871088 1.50877i
\(363\) −1.23467 + 1.21474i −0.0648032 + 0.0637574i
\(364\) −22.5696 + 39.0917i −1.18297 + 2.04896i
\(365\) −2.89301 + 5.01085i −0.151427 + 0.262280i
\(366\) −5.06510 + 4.98336i −0.264757 + 0.260484i
\(367\) 17.2272 + 29.8384i 0.899254 + 1.55755i 0.828450 + 0.560063i \(0.189223\pi\)
0.0708032 + 0.997490i \(0.477444\pi\)
\(368\) 12.6780 0.660887
\(369\) −9.29979 + 5.16936i −0.484128 + 0.269106i
\(370\) 50.9708 2.64985
\(371\) 10.6568 + 18.4581i 0.553274 + 0.958299i
\(372\) 2.44314 + 9.42393i 0.126671 + 0.488608i
\(373\) −1.95278 + 3.38232i −0.101111 + 0.175130i −0.912143 0.409873i \(-0.865573\pi\)
0.811031 + 0.585002i \(0.198906\pi\)
\(374\) 3.96080 6.86030i 0.204808 0.354738i
\(375\) 16.5304 + 4.57374i 0.853624 + 0.236187i
\(376\) −0.538656 0.932980i −0.0277791 0.0481148i
\(377\) −11.1717 −0.575372
\(378\) −29.1659 + 7.05688i −1.50013 + 0.362967i
\(379\) −10.2129 −0.524600 −0.262300 0.964986i \(-0.584481\pi\)
−0.262300 + 0.964986i \(0.584481\pi\)
\(380\) 38.8083 + 67.2180i 1.99082 + 3.44821i
\(381\) −1.57487 0.435746i −0.0806828 0.0223239i
\(382\) 2.84074 4.92031i 0.145345 0.251745i
\(383\) −7.06195 + 12.2317i −0.360849 + 0.625009i −0.988101 0.153808i \(-0.950846\pi\)
0.627252 + 0.778816i \(0.284180\pi\)
\(384\) 8.10517 + 31.2640i 0.413615 + 1.59544i
\(385\) 2.84881 + 4.93429i 0.145189 + 0.251475i
\(386\) 34.8129 1.77193
\(387\) −0.364562 + 22.4050i −0.0185317 + 1.13891i
\(388\) 36.6076 1.85847
\(389\) −7.11383 12.3215i −0.360686 0.624726i 0.627388 0.778707i \(-0.284124\pi\)
−0.988074 + 0.153981i \(0.950791\pi\)
\(390\) 34.9875 34.4228i 1.77166 1.74307i
\(391\) 4.42535 7.66492i 0.223799 0.387632i
\(392\) 3.96420 6.86620i 0.200223 0.346796i
\(393\) 3.77972 3.71872i 0.190662 0.187585i
\(394\) −1.62188 2.80918i −0.0817091 0.141524i
\(395\) −30.9739 −1.55846
\(396\) 10.5445 + 6.31881i 0.529882 + 0.317532i
\(397\) −23.5328 −1.18108 −0.590539 0.807009i \(-0.701085\pi\)
−0.590539 + 0.807009i \(0.701085\pi\)
\(398\) −19.5683 33.8933i −0.980872 1.69892i
\(399\) −7.90345 30.4860i −0.395667 1.52621i
\(400\) −2.14928 + 3.72267i −0.107464 + 0.186133i
\(401\) 18.2654 31.6366i 0.912131 1.57986i 0.101083 0.994878i \(-0.467769\pi\)
0.811048 0.584979i \(-0.198897\pi\)
\(402\) −31.6603 8.76000i −1.57907 0.436909i
\(403\) 3.23066 + 5.59567i 0.160931 + 0.278740i
\(404\) −19.9835 −0.994219
\(405\) 21.9149 + 0.713361i 1.08896 + 0.0354472i
\(406\) −13.6965 −0.679747
\(407\) 4.23628 + 7.33745i 0.209985 + 0.363704i
\(408\) −27.7384 7.67486i −1.37325 0.379962i
\(409\) −8.39364 + 14.5382i −0.415039 + 0.718868i −0.995433 0.0954680i \(-0.969565\pi\)
0.580394 + 0.814336i \(0.302899\pi\)
\(410\) 10.6683 18.4780i 0.526869 0.912564i
\(411\) 8.89145 + 34.2969i 0.438583 + 1.69174i
\(412\) 20.8368 + 36.0903i 1.02655 + 1.77804i
\(413\) −0.563724 −0.0277390
\(414\) 17.5315 + 10.5058i 0.861628 + 0.516331i
\(415\) −25.5829 −1.25582
\(416\) −2.32625 4.02918i −0.114054 0.197547i
\(417\) −15.9381 + 15.6809i −0.780493 + 0.767897i
\(418\) −9.59946 + 16.6268i −0.469525 + 0.813241i
\(419\) −4.33728 + 7.51239i −0.211890 + 0.367004i −0.952306 0.305145i \(-0.901295\pi\)
0.740416 + 0.672149i \(0.234629\pi\)
\(420\) 28.8254 28.3602i 1.40653 1.38383i
\(421\) −10.1827 17.6370i −0.496275 0.859573i 0.503716 0.863869i \(-0.331966\pi\)
−0.999991 + 0.00429609i \(0.998633\pi\)
\(422\) −21.1980 −1.03190
\(423\) 0.0101514 0.623878i 0.000493577 0.0303340i
\(424\) −47.2058 −2.29252
\(425\) 1.50044 + 2.59885i 0.0727822 + 0.126063i
\(426\) −1.15631 4.46023i −0.0560234 0.216099i
\(427\) −1.94265 + 3.36478i −0.0940116 + 0.162833i
\(428\) −19.6654 + 34.0614i −0.950562 + 1.64642i
\(429\) 7.86318 + 2.17564i 0.379638 + 0.105041i
\(430\) −22.4677 38.9152i −1.08349 1.87666i
\(431\) −30.7365 −1.48053 −0.740263 0.672318i \(-0.765299\pi\)
−0.740263 + 0.672318i \(0.765299\pi\)
\(432\) 6.74092 22.9062i 0.324323 1.10207i
\(433\) −35.7978 −1.72033 −0.860167 0.510012i \(-0.829641\pi\)
−0.860167 + 0.510012i \(0.829641\pi\)
\(434\) 3.96080 + 6.86030i 0.190124 + 0.329305i
\(435\) 9.64567 + 2.66884i 0.462474 + 0.127961i
\(436\) 3.99810 6.92491i 0.191474 0.331643i
\(437\) −10.7253 + 18.5769i −0.513063 + 0.888651i
\(438\) 2.54910 + 9.83263i 0.121801 + 0.469821i
\(439\) 9.15420 + 15.8555i 0.436906 + 0.756744i 0.997449 0.0713815i \(-0.0227408\pi\)
−0.560543 + 0.828125i \(0.689407\pi\)
\(440\) −12.6192 −0.601598
\(441\) 4.01361 2.23099i 0.191124 0.106238i
\(442\) −37.3137 −1.77483
\(443\) −0.526658 0.912198i −0.0250223 0.0433398i 0.853243 0.521513i \(-0.174632\pi\)
−0.878265 + 0.478174i \(0.841299\pi\)
\(444\) 42.8643 42.1725i 2.03425 2.00142i
\(445\) −17.4112 + 30.1571i −0.825372 + 1.42959i
\(446\) 32.7414 56.7097i 1.55035 2.68528i
\(447\) −12.4461 + 12.2452i −0.588681 + 0.579180i
\(448\) 7.89468 + 13.6740i 0.372989 + 0.646035i
\(449\) 29.3702 1.38607 0.693033 0.720906i \(-0.256274\pi\)
0.693033 + 0.720906i \(0.256274\pi\)
\(450\) −6.05693 + 3.36679i −0.285526 + 0.158712i
\(451\) 3.54665 0.167005
\(452\) 16.1971 + 28.0542i 0.761846 + 1.31956i
\(453\) −2.05417 7.92355i −0.0965134 0.372281i
\(454\) −29.2435 + 50.6513i −1.37247 + 2.37718i
\(455\) 13.4190 23.2424i 0.629092 1.08962i
\(456\) 67.2272 + 18.6009i 3.14820 + 0.871068i
\(457\) −2.65837 4.60443i −0.124353 0.215386i 0.797127 0.603812i \(-0.206352\pi\)
−0.921480 + 0.388426i \(0.873019\pi\)
\(458\) −29.6096 −1.38357
\(459\) −11.4958 12.0710i −0.536576 0.563427i
\(460\) −27.5424 −1.28417
\(461\) 3.43008 + 5.94107i 0.159755 + 0.276703i 0.934780 0.355227i \(-0.115596\pi\)
−0.775025 + 0.631930i \(0.782263\pi\)
\(462\) 9.64028 + 2.66734i 0.448506 + 0.124096i
\(463\) 12.6530 21.9157i 0.588036 1.01851i −0.406453 0.913672i \(-0.633235\pi\)
0.994489 0.104837i \(-0.0334322\pi\)
\(464\) 5.44929 9.43844i 0.252977 0.438169i
\(465\) −1.45259 5.60309i −0.0673625 0.259837i
\(466\) −23.3585 40.4581i −1.08206 1.87418i
\(467\) 40.1018 1.85569 0.927844 0.372967i \(-0.121660\pi\)
0.927844 + 0.372967i \(0.121660\pi\)
\(468\) 0.942055 57.8963i 0.0435465 2.67626i
\(469\) −17.9622 −0.829417
\(470\) 0.625623 + 1.08361i 0.0288578 + 0.0499832i
\(471\) 6.11735 6.01862i 0.281873 0.277323i
\(472\) 0.624273 1.08127i 0.0287345 0.0497696i
\(473\) 3.73467 6.46863i 0.171720 0.297428i
\(474\) −38.7613 + 38.1358i −1.78037 + 1.75163i
\(475\) −3.63651 6.29861i −0.166854 0.289000i
\(476\) −30.7419 −1.40905
\(477\) −23.4523 14.0538i −1.07381 0.643480i
\(478\) −40.9067 −1.87103
\(479\) 8.18768 + 14.1815i 0.374105 + 0.647969i 0.990193 0.139709i \(-0.0446167\pi\)
−0.616088 + 0.787678i \(0.711283\pi\)
\(480\) 1.04595 + 4.03452i 0.0477407 + 0.184150i
\(481\) 19.9545 34.5622i 0.909847 1.57590i
\(482\) 20.1115 34.8341i 0.916053 1.58665i
\(483\) 10.7710 + 2.98019i 0.490095 + 0.135603i
\(484\) −2.04881 3.54864i −0.0931276 0.161302i
\(485\) −21.7654 −0.988316
\(486\) 28.3031 26.0894i 1.28385 1.18344i
\(487\) 14.9456 0.677249 0.338625 0.940922i \(-0.390038\pi\)
0.338625 + 0.940922i \(0.390038\pi\)
\(488\) −4.30263 7.45238i −0.194771 0.337353i
\(489\) −14.3609 3.97347i −0.649421 0.179687i
\(490\) −4.60423 + 7.97476i −0.207998 + 0.360263i
\(491\) −13.9341 + 24.1346i −0.628839 + 1.08918i 0.358946 + 0.933358i \(0.383136\pi\)
−0.987785 + 0.155823i \(0.950197\pi\)
\(492\) −6.31687 24.3660i −0.284786 1.09851i
\(493\) −3.80422 6.58911i −0.171334 0.296758i
\(494\) 90.4342 4.06883
\(495\) −6.26934 3.75691i −0.281786 0.168861i
\(496\) −6.30336 −0.283029
\(497\) −1.25973 2.18192i −0.0565068 0.0978727i
\(498\) −32.0150 + 31.4983i −1.43463 + 1.41147i
\(499\) 16.5776 28.7133i 0.742116 1.28538i −0.209414 0.977827i \(-0.567156\pi\)
0.951530 0.307556i \(-0.0995111\pi\)
\(500\) −20.2881 + 35.1400i −0.907311 + 1.57151i
\(501\) −8.86264 + 8.71960i −0.395953 + 0.389563i
\(502\) 18.6741 + 32.3446i 0.833468 + 1.44361i
\(503\) 8.90129 0.396889 0.198444 0.980112i \(-0.436411\pi\)
0.198444 + 0.980112i \(0.436411\pi\)
\(504\) 0.591238 36.3360i 0.0263358 1.61853i
\(505\) 11.8814 0.528716
\(506\) −3.40639 5.90004i −0.151433 0.262289i
\(507\) −3.99355 15.4043i −0.177360 0.684129i
\(508\) 1.93287 3.34783i 0.0857572 0.148536i
\(509\) −20.3942 + 35.3237i −0.903955 + 1.56570i −0.0816414 + 0.996662i \(0.526016\pi\)
−0.822314 + 0.569034i \(0.807317\pi\)
\(510\) 32.2167 + 8.91397i 1.42658 + 0.394717i
\(511\) 2.77710 + 4.81007i 0.122852 + 0.212785i
\(512\) −43.0651 −1.90323
\(513\) 27.8613 + 29.2555i 1.23011 + 1.29166i
\(514\) 48.1659 2.12451
\(515\) −12.3887 21.4578i −0.545911 0.945546i
\(516\) −51.0923 14.1366i −2.24921 0.622329i
\(517\) −0.103993 + 0.180122i −0.00457363 + 0.00792175i
\(518\) 24.4643 42.3733i 1.07490 1.86178i
\(519\) −3.15210 12.1586i −0.138362 0.533702i
\(520\) 29.7207 + 51.4777i 1.30334 + 2.25745i
\(521\) −8.54191 −0.374228 −0.187114 0.982338i \(-0.559913\pi\)
−0.187114 + 0.982338i \(0.559913\pi\)
\(522\) 15.3567 8.53614i 0.672146 0.373617i
\(523\) 26.9328 1.17769 0.588845 0.808246i \(-0.299583\pi\)
0.588845 + 0.808246i \(0.299583\pi\)
\(524\) 6.27208 + 10.8636i 0.273997 + 0.474577i
\(525\) −2.70106 + 2.65747i −0.117884 + 0.115981i
\(526\) −11.6546 + 20.1864i −0.508167 + 0.880171i
\(527\) −2.20023 + 3.81091i −0.0958435 + 0.166006i
\(528\) −5.67357 + 5.58201i −0.246910 + 0.242926i
\(529\) 7.69408 + 13.3265i 0.334525 + 0.579415i
\(530\) 54.8273 2.38154
\(531\) 0.632054 0.351332i 0.0274288 0.0152465i
\(532\) 74.5067 3.23028
\(533\) −8.35303 14.4679i −0.361810 0.626673i
\(534\) 15.3414 + 59.1764i 0.663888 + 2.56081i
\(535\) 11.6922 20.2515i 0.505500 0.875551i
\(536\) 19.8915 34.4531i 0.859183 1.48815i
\(537\) −12.1696 3.36717i −0.525155 0.145304i
\(538\) −9.05097 15.6767i −0.390215 0.675872i
\(539\) −1.53066 −0.0659304
\(540\) −14.6444 + 49.7627i −0.630193 + 2.14145i
\(541\) 44.5039 1.91337 0.956686 0.291121i \(-0.0940284\pi\)
0.956686 + 0.291121i \(0.0940284\pi\)
\(542\) 3.09020 + 5.35239i 0.132736 + 0.229905i
\(543\) 22.4083 + 6.20009i 0.961632 + 0.266071i
\(544\) 1.58428 2.74406i 0.0679256 0.117651i
\(545\) −2.37711 + 4.11727i −0.101824 + 0.176364i
\(546\) −11.8238 45.6078i −0.506011 1.95183i
\(547\) −4.84725 8.39569i −0.207254 0.358974i 0.743595 0.668630i \(-0.233119\pi\)
−0.950848 + 0.309657i \(0.899786\pi\)
\(548\) −83.8206 −3.58064
\(549\) 0.0810862 4.98336i 0.00346068 0.212685i
\(550\) 2.30992 0.0984954
\(551\) 9.21999 + 15.9695i 0.392785 + 0.680323i
\(552\) −17.6441 + 17.3594i −0.750984 + 0.738864i
\(553\) −14.8664 + 25.7494i −0.632184 + 1.09497i
\(554\) −27.1490 + 47.0234i −1.15345 + 1.99783i
\(555\) −25.4854 + 25.0741i −1.08179 + 1.06434i
\(556\) −26.4477 45.8088i −1.12163 1.94273i
\(557\) 44.5990 1.88972 0.944861 0.327473i \(-0.106197\pi\)
0.944861 + 0.327473i \(0.106197\pi\)
\(558\) −8.71647 5.22335i −0.368998 0.221122i
\(559\) −35.1834 −1.48810
\(560\) 13.0909 + 22.6741i 0.553193 + 0.958158i
\(561\) 1.39439 + 5.37859i 0.0588713 + 0.227084i
\(562\) 20.9816 36.3411i 0.885054 1.53296i
\(563\) 13.9051 24.0843i 0.586029 1.01503i −0.408718 0.912661i \(-0.634024\pi\)
0.994746 0.102370i \(-0.0326427\pi\)
\(564\) 1.42269 + 0.393640i 0.0599059 + 0.0165752i
\(565\) −9.63013 16.6799i −0.405143 0.701727i
\(566\) 9.32955 0.392150
\(567\) 11.1114 17.8760i 0.466637 0.750722i
\(568\) 5.58017 0.234139
\(569\) −18.5056 32.0527i −0.775796 1.34372i −0.934346 0.356367i \(-0.884015\pi\)
0.158550 0.987351i \(-0.449318\pi\)
\(570\) −78.0811 21.6041i −3.27046 0.904894i
\(571\) 13.9640 24.1863i 0.584374 1.01217i −0.410579 0.911825i \(-0.634673\pi\)
0.994953 0.100340i \(-0.0319932\pi\)
\(572\) −9.65066 + 16.7154i −0.403515 + 0.698908i
\(573\) 1.00008 + 3.85760i 0.0417789 + 0.161154i
\(574\) −10.2408 17.7376i −0.427444 0.740355i
\(575\) 2.58084 0.107629
\(576\) −17.3737 10.4112i −0.723904 0.433801i
\(577\) 24.6587 1.02656 0.513278 0.858222i \(-0.328431\pi\)
0.513278 + 0.858222i \(0.328431\pi\)
\(578\) 8.28316 + 14.3469i 0.344534 + 0.596751i
\(579\) −17.4064 + 17.1255i −0.723387 + 0.711712i
\(580\) −11.8383 + 20.5046i −0.491561 + 0.851408i
\(581\) −12.2789 + 21.2678i −0.509416 + 0.882335i
\(582\) −27.2377 + 26.7981i −1.12904 + 1.11082i
\(583\) 4.55680 + 7.89261i 0.188723 + 0.326878i
\(584\) −12.3015 −0.509042
\(585\) −0.560108 + 34.4228i −0.0231576 + 1.42321i
\(586\) −57.7217 −2.38446
\(587\) 13.1231 + 22.7300i 0.541650 + 0.938166i 0.998809 + 0.0487810i \(0.0155337\pi\)
−0.457159 + 0.889385i \(0.651133\pi\)
\(588\) 2.72624 + 10.5159i 0.112428 + 0.433669i
\(589\) 5.33252 9.23619i 0.219723 0.380571i
\(590\) −0.725063 + 1.25585i −0.0298504 + 0.0517023i
\(591\) 2.19286 + 0.606737i 0.0902022 + 0.0249578i
\(592\) 19.4667 + 33.7172i 0.800074 + 1.38577i
\(593\) 11.8551 0.486829 0.243414 0.969922i \(-0.421733\pi\)
0.243414 + 0.969922i \(0.421733\pi\)
\(594\) −12.4712 + 3.01749i −0.511699 + 0.123809i
\(595\) 18.2779 0.749321
\(596\) −20.6531 35.7722i −0.845983 1.46529i
\(597\) 26.4573 + 7.32041i 1.08283 + 0.299605i
\(598\) −16.0454 + 27.7914i −0.656145 + 1.13648i
\(599\) −15.2879 + 26.4795i −0.624648 + 1.08192i 0.363961 + 0.931414i \(0.381424\pi\)
−0.988609 + 0.150508i \(0.951909\pi\)
\(600\) −2.10608 8.12379i −0.0859806 0.331653i
\(601\) −13.9118 24.0959i −0.567472 0.982891i −0.996815 0.0797492i \(-0.974588\pi\)
0.429343 0.903142i \(-0.358745\pi\)
\(602\) −43.1349 −1.75805
\(603\) 20.1394 11.1947i 0.820142 0.455881i
\(604\) 19.3649 0.787947
\(605\) 1.21814 + 2.10988i 0.0495244 + 0.0857787i
\(606\) 14.8686 14.6287i 0.603998 0.594250i
\(607\) 4.59543 7.95952i 0.186523 0.323067i −0.757566 0.652759i \(-0.773611\pi\)
0.944089 + 0.329692i \(0.106945\pi\)
\(608\) −3.83970 + 6.65055i −0.155720 + 0.269715i
\(609\) 6.84827 6.73774i 0.277506 0.273027i
\(610\) 4.99729 + 8.65557i 0.202335 + 0.350454i
\(611\) 0.979697 0.0396343
\(612\) 34.4682 19.1594i 1.39330 0.774473i
\(613\) −12.7376 −0.514467 −0.257234 0.966349i \(-0.582811\pi\)
−0.257234 + 0.966349i \(0.582811\pi\)
\(614\) −19.2082 33.2697i −0.775182 1.34265i
\(615\) 3.75576 + 14.4871i 0.151447 + 0.584175i
\(616\) −6.05680 + 10.4907i −0.244035 + 0.422682i
\(617\) −6.91123 + 11.9706i −0.278236 + 0.481918i −0.970946 0.239297i \(-0.923083\pi\)
0.692711 + 0.721216i \(0.256416\pi\)
\(618\) −41.9229 11.5995i −1.68639 0.466602i
\(619\) −22.6728 39.2705i −0.911297 1.57841i −0.812234 0.583332i \(-0.801749\pi\)
−0.0990636 0.995081i \(-0.531585\pi\)
\(620\) 13.6938 0.549955
\(621\) −13.9339 + 3.37140i −0.559147 + 0.135290i
\(622\) 59.9648 2.40437
\(623\) 16.7136 + 28.9488i 0.669617 + 1.15981i
\(624\) 36.1331 + 9.99757i 1.44648 + 0.400223i
\(625\) 14.4011 24.9434i 0.576043 0.997736i
\(626\) −9.63495 + 16.6882i −0.385090 + 0.666995i
\(627\) −3.37948 13.0356i −0.134963 0.520594i
\(628\) 10.1511 + 17.5823i 0.405074 + 0.701609i
\(629\) 27.1799 1.08373
\(630\) −0.686693 + 42.2024i −0.0273585 + 1.68139i
\(631\) −48.0257 −1.91187 −0.955936 0.293576i \(-0.905155\pi\)
−0.955936 + 0.293576i \(0.905155\pi\)
\(632\) −32.9264 57.0303i −1.30974 2.26854i
\(633\) 10.5990 10.4279i 0.421272 0.414473i
\(634\) −16.7606 + 29.0302i −0.665647 + 1.15293i
\(635\) −1.14921 + 1.99048i −0.0456048 + 0.0789899i
\(636\) 46.1075 45.3633i 1.82828 1.79877i
\(637\) 3.60501 + 6.24406i 0.142836 + 0.247398i
\(638\) −5.85657 −0.231864
\(639\) 2.77228 + 1.66129i 0.109670 + 0.0657197i
\(640\) 45.4293 1.79575
\(641\) 7.37312 + 12.7706i 0.291221 + 0.504409i 0.974099 0.226123i \(-0.0726052\pi\)
−0.682878 + 0.730533i \(0.739272\pi\)
\(642\) −10.3023 39.7390i −0.406599 1.56837i
\(643\) 22.8328 39.5476i 0.900438 1.55960i 0.0735112 0.997294i \(-0.476580\pi\)
0.826927 0.562310i \(-0.190087\pi\)
\(644\) −13.2194 + 22.8967i −0.520919 + 0.902258i
\(645\) 30.3774 + 8.40505i 1.19611 + 0.330949i
\(646\) 30.7950 + 53.3384i 1.21161 + 2.09857i
\(647\) 18.8503 0.741081 0.370540 0.928816i \(-0.379173\pi\)
0.370540 + 0.928816i \(0.379173\pi\)
\(648\) 21.9829 + 41.1088i 0.863570 + 1.61491i
\(649\) −0.241045 −0.00946186
\(650\) −5.44031 9.42289i −0.213386 0.369596i
\(651\) −5.35519 1.48171i −0.209886 0.0580730i
\(652\) 17.6254 30.5281i 0.690265 1.19557i
\(653\) 10.0779 17.4554i 0.394378 0.683083i −0.598644 0.801016i \(-0.704293\pi\)
0.993022 + 0.117933i \(0.0376267\pi\)
\(654\) 2.09452 + 8.07919i 0.0819023 + 0.315921i
\(655\) −3.72912 6.45903i −0.145709 0.252375i
\(656\) 16.2976 0.636316
\(657\) −6.11152 3.66233i −0.238433 0.142881i
\(658\) 1.20111 0.0468242
\(659\) −4.83783 8.37936i −0.188455 0.326414i 0.756280 0.654248i \(-0.227015\pi\)
−0.944735 + 0.327834i \(0.893681\pi\)
\(660\) 12.3256 12.1267i 0.479773 0.472030i
\(661\) −12.6736 + 21.9513i −0.492945 + 0.853805i −0.999967 0.00812759i \(-0.997413\pi\)
0.507022 + 0.861933i \(0.330746\pi\)
\(662\) −25.6699 + 44.4616i −0.997690 + 1.72805i
\(663\) 18.6569 18.3558i 0.724572 0.712879i
\(664\) −27.1957 47.1043i −1.05540 1.82800i
\(665\) −44.2987 −1.71783
\(666\) −1.02114 + 62.7565i −0.0395682 + 2.43176i
\(667\) −6.54347 −0.253364
\(668\) −14.7067 25.4727i −0.569018 0.985568i
\(669\) 11.5266 + 44.4613i 0.445642 + 1.71897i
\(670\) −23.1030 + 40.0156i −0.892548 + 1.54594i
\(671\) −0.830670 + 1.43876i −0.0320676 + 0.0555428i
\(672\) 3.85602 + 1.06691i 0.148749 + 0.0411571i
\(673\) 0.766712 + 1.32798i 0.0295546 + 0.0511900i 0.880424 0.474187i \(-0.157258\pi\)
−0.850870 + 0.525377i \(0.823924\pi\)
\(674\) 16.4582 0.633946
\(675\) 1.37224 4.66298i 0.0528175 0.179478i
\(676\) 37.6476 1.44798
\(677\) 2.32984 + 4.03539i 0.0895429 + 0.155093i 0.907318 0.420445i \(-0.138126\pi\)
−0.817775 + 0.575538i \(0.804793\pi\)
\(678\) −32.5880 9.01669i −1.25153 0.346284i
\(679\) −10.4467 + 18.0941i −0.400906 + 0.694390i
\(680\) −20.2411 + 35.0587i −0.776212 + 1.34444i
\(681\) −10.2951 39.7114i −0.394511 1.52174i
\(682\) 1.69362 + 2.93343i 0.0648520 + 0.112327i
\(683\) −25.9322 −0.992269 −0.496134 0.868246i \(-0.665248\pi\)
−0.496134 + 0.868246i \(0.665248\pi\)
\(684\) −83.5379 + 46.4351i −3.19415 + 1.77549i
\(685\) 49.8364 1.90415
\(686\) 24.6320 + 42.6639i 0.940455 + 1.62892i
\(687\) 14.8048 14.5659i 0.564839 0.555723i
\(688\) 17.1616 29.7248i 0.654281 1.13325i
\(689\) 21.4643 37.1772i 0.817723 1.41634i
\(690\) 20.4928 20.1621i 0.780147 0.767556i
\(691\) 13.6320 + 23.6112i 0.518584 + 0.898214i 0.999767 + 0.0215935i \(0.00687394\pi\)
−0.481183 + 0.876620i \(0.659793\pi\)
\(692\) 29.7152 1.12960
\(693\) −6.13229 + 3.40867i −0.232946 + 0.129485i
\(694\) −17.0746 −0.648145
\(695\) 15.7247 + 27.2361i 0.596474 + 1.03312i
\(696\) 5.33976 + 20.5970i 0.202403 + 0.780729i
\(697\) 5.68880 9.85329i 0.215479 0.373220i
\(698\) −7.00755 + 12.1374i −0.265240 + 0.459408i
\(699\) 31.5818 + 8.73829i 1.19453 + 0.330512i
\(700\) −4.48214 7.76330i −0.169409 0.293425i
\(701\) −1.77806 −0.0671563 −0.0335782 0.999436i \(-0.510690\pi\)
−0.0335782 + 0.999436i \(0.510690\pi\)
\(702\) 41.6813 + 43.7670i 1.57316 + 1.65188i
\(703\) −65.8736 −2.48447
\(704\) 3.37573 + 5.84693i 0.127227 + 0.220364i
\(705\) −0.845872 0.234042i −0.0318574 0.00881454i
\(706\) 9.34209 16.1810i 0.351594 0.608979i
\(707\) 5.70268 9.87732i 0.214471 0.371475i
\(708\) 0.429322 + 1.65602i 0.0161349 + 0.0622371i
\(709\) −7.30003 12.6440i −0.274158 0.474856i 0.695764 0.718270i \(-0.255066\pi\)
−0.969922 + 0.243414i \(0.921733\pi\)
\(710\) −6.48110 −0.243231
\(711\) 0.620523 38.1358i 0.0232714 1.43020i
\(712\) −74.0353 −2.77459
\(713\) 1.89226 + 3.27748i 0.0708655 + 0.122743i
\(714\) 22.8734 22.5042i 0.856014 0.842199i
\(715\) 5.73789 9.93832i 0.214585 0.371672i
\(716\) 14.9360 25.8699i 0.558184 0.966803i
\(717\) 20.4533 20.1232i 0.763843 0.751516i
\(718\) −35.9910 62.3382i −1.34317 2.32644i
\(719\) 19.7642 0.737081 0.368540 0.929612i \(-0.379858\pi\)
0.368540 + 0.929612i \(0.379858\pi\)
\(720\) −28.8090 17.2638i −1.07365 0.643385i
\(721\) −23.7846 −0.885785
\(722\) −51.1765 88.6404i −1.90459 3.29885i
\(723\) 7.08022 + 27.3105i 0.263316 + 1.01569i
\(724\) −27.5022 + 47.6352i −1.02211 + 1.77035i
\(725\) 1.10930 1.92137i 0.0411985 0.0713579i
\(726\) 4.12214 + 1.14054i 0.152987 + 0.0423295i
\(727\) 9.40561 + 16.2910i 0.348835 + 0.604200i 0.986043 0.166492i \(-0.0532441\pi\)
−0.637208 + 0.770692i \(0.719911\pi\)
\(728\) 57.0597 2.11477
\(729\) −1.31734 + 26.9678i −0.0487905 + 0.998809i
\(730\) 14.2876 0.528809
\(731\) −11.9808 20.7513i −0.443125 0.767514i
\(732\) 11.3640 + 3.14428i 0.420026 + 0.116216i
\(733\) −23.3301 + 40.4090i −0.861719 + 1.49254i 0.00855029 + 0.999963i \(0.497278\pi\)
−0.870269 + 0.492577i \(0.836055\pi\)
\(734\) 42.5398 73.6811i 1.57017 2.71962i
\(735\) −1.62091 6.25234i −0.0597882 0.230621i
\(736\) −1.36253 2.35996i −0.0502234 0.0869894i
\(737\) −7.68055 −0.282917
\(738\) 22.5369 + 13.5052i 0.829593 + 0.497135i
\(739\) −6.50838 −0.239415 −0.119707 0.992809i \(-0.538196\pi\)
−0.119707 + 0.992809i \(0.538196\pi\)
\(740\) −42.2905 73.2492i −1.55463 2.69270i
\(741\) −45.2171 + 44.4874i −1.66109 + 1.63428i
\(742\) 26.3152 45.5793i 0.966062 1.67327i
\(743\) 21.8998 37.9315i 0.803425 1.39157i −0.113924 0.993489i \(-0.536342\pi\)
0.917349 0.398083i \(-0.130325\pi\)
\(744\) 8.77246 8.63088i 0.321614 0.316423i
\(745\) 12.2795 + 21.2687i 0.449886 + 0.779225i
\(746\) 9.64415 0.353097
\(747\) 0.512522 31.4983i 0.0187522 1.15246i
\(748\) −13.1451 −0.480632
\(749\) −11.2238 19.4401i −0.410107 0.710327i
\(750\) −10.6285 40.9973i −0.388098 1.49701i
\(751\) −9.84965 + 17.0601i −0.359419 + 0.622531i −0.987864 0.155322i \(-0.950358\pi\)
0.628445 + 0.777854i \(0.283692\pi\)
\(752\) −0.477873 + 0.827700i −0.0174262 + 0.0301831i
\(753\) −25.2484 6.98590i −0.920101 0.254580i
\(754\) 13.7933 + 23.8908i 0.502324 + 0.870050i
\(755\) −11.5136 −0.419022
\(756\) 34.3402 + 36.0587i 1.24894 + 1.31144i
\(757\) 23.1719 0.842195 0.421098 0.907015i \(-0.361645\pi\)
0.421098 + 0.907015i \(0.361645\pi\)
\(758\) 12.6095 + 21.8403i 0.457998 + 0.793276i
\(759\) 4.60561 + 1.27431i 0.167173 + 0.0462547i
\(760\) 49.0568 84.9689i 1.77948 3.08215i
\(761\) −6.96855 + 12.0699i −0.252610 + 0.437533i −0.964244 0.265017i \(-0.914622\pi\)
0.711634 + 0.702551i \(0.247956\pi\)
\(762\) 1.01259 + 3.90586i 0.0366823 + 0.141494i
\(763\) 2.28186 + 3.95230i 0.0826089 + 0.143083i
\(764\) −9.42786 −0.341088
\(765\) −20.4934 + 11.3914i −0.740941 + 0.411857i
\(766\) 34.8767 1.26014
\(767\) 0.567708 + 0.983299i 0.0204987 + 0.0355049i
\(768\) 40.1796 39.5311i 1.44986 1.42646i
\(769\) 2.54821 4.41363i 0.0918907 0.159159i −0.816416 0.577464i \(-0.804042\pi\)
0.908307 + 0.418305i \(0.137376\pi\)
\(770\) 7.03467 12.1844i 0.253512 0.439096i
\(771\) −24.0830 + 23.6943i −0.867326 + 0.853329i
\(772\) −28.8843 50.0290i −1.03957 1.80058i
\(773\) −20.5798 −0.740202 −0.370101 0.928991i \(-0.620677\pi\)
−0.370101 + 0.928991i \(0.620677\pi\)
\(774\) 48.3634 26.8832i 1.73839 0.966295i
\(775\) −1.28317 −0.0460927
\(776\) −23.1375 40.0753i −0.830587 1.43862i
\(777\) 8.61261 + 33.2214i 0.308976