Properties

Label 91.2.h.b.16.3
Level $91$
Weight $2$
Character 91.16
Analytic conductor $0.727$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.h (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \(x^{12} - x^{11} + 7 x^{10} - 2 x^{9} + 33 x^{8} - 11 x^{7} + 55 x^{6} + 17 x^{5} + 47 x^{4} + x^{3} + 8 x^{2} + x + 1\)
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 16.3
Root \(0.756174 + 1.30973i\) of defining polynomial
Character \(\chi\) \(=\) 91.16
Dual form 91.2.h.b.74.3

$q$-expansion

\(f(q)\) \(=\) \(q-0.851125 q^{2} +(-0.330612 + 0.572636i) q^{3} -1.27559 q^{4} +(-1.72074 + 2.98041i) q^{5} +(0.281392 - 0.487385i) q^{6} +(-2.57273 - 0.617304i) q^{7} +2.78793 q^{8} +(1.28139 + 2.21944i) q^{9} +O(q^{10})\) \(q-0.851125 q^{2} +(-0.330612 + 0.572636i) q^{3} -1.27559 q^{4} +(-1.72074 + 2.98041i) q^{5} +(0.281392 - 0.487385i) q^{6} +(-2.57273 - 0.617304i) q^{7} +2.78793 q^{8} +(1.28139 + 2.21944i) q^{9} +(1.46456 - 2.53670i) q^{10} +(0.448993 - 0.777679i) q^{11} +(0.421723 - 0.730446i) q^{12} +(-3.07517 + 1.88237i) q^{13} +(2.18972 + 0.525403i) q^{14} +(-1.13779 - 1.97071i) q^{15} +0.178289 q^{16} +1.93681 q^{17} +(-1.09063 - 1.88902i) q^{18} +(-0.519020 - 0.898968i) q^{19} +(2.19495 - 3.80177i) q^{20} +(1.20406 - 1.26915i) q^{21} +(-0.382150 + 0.661902i) q^{22} +5.65013 q^{23} +(-0.921723 + 1.59647i) q^{24} +(-3.42189 - 5.92688i) q^{25} +(2.61736 - 1.60213i) q^{26} -3.67824 q^{27} +(3.28174 + 0.787424i) q^{28} +(0.917969 + 1.58997i) q^{29} +(0.968404 + 1.67733i) q^{30} +(4.56692 + 7.91014i) q^{31} -5.72761 q^{32} +(0.296885 + 0.514219i) q^{33} -1.64847 q^{34} +(6.26681 - 6.60556i) q^{35} +(-1.63452 - 2.83108i) q^{36} -10.6000 q^{37} +(0.441751 + 0.765135i) q^{38} +(-0.0612242 - 2.38329i) q^{39} +(-4.79731 + 8.30918i) q^{40} +(2.66571 + 4.61715i) q^{41} +(-1.02481 + 1.08021i) q^{42} +(1.95732 - 3.39018i) q^{43} +(-0.572729 + 0.991996i) q^{44} -8.81977 q^{45} -4.80897 q^{46} +(-3.59565 + 6.22784i) q^{47} +(-0.0589445 + 0.102095i) q^{48} +(6.23787 + 3.17631i) q^{49} +(2.91246 + 5.04452i) q^{50} +(-0.640331 + 1.10909i) q^{51} +(3.92265 - 2.40112i) q^{52} +(4.69324 + 8.12893i) q^{53} +3.13065 q^{54} +(1.54520 + 2.67637i) q^{55} +(-7.17260 - 1.72100i) q^{56} +0.686375 q^{57} +(-0.781307 - 1.35326i) q^{58} -0.510517 q^{59} +(1.45135 + 2.51382i) q^{60} +(-0.718095 - 1.24378i) q^{61} +(-3.88702 - 6.73252i) q^{62} +(-1.92661 - 6.50102i) q^{63} +4.51834 q^{64} +(-0.318655 - 12.4043i) q^{65} +(-0.252686 - 0.437665i) q^{66} +(4.22466 - 7.31732i) q^{67} -2.47057 q^{68} +(-1.86800 + 3.23547i) q^{69} +(-5.33385 + 5.62216i) q^{70} +(1.72419 - 2.98638i) q^{71} +(3.57244 + 6.18764i) q^{72} +(-5.45026 - 9.44013i) q^{73} +9.02195 q^{74} +4.52526 q^{75} +(0.662054 + 1.14671i) q^{76} +(-1.63520 + 1.72359i) q^{77} +(0.0521095 + 2.02848i) q^{78} +(6.04589 - 10.4718i) q^{79} +(-0.306789 + 0.531375i) q^{80} +(-2.62811 + 4.55201i) q^{81} +(-2.26886 - 3.92977i) q^{82} +1.51669 q^{83} +(-1.53589 + 1.61891i) q^{84} +(-3.33274 + 5.77248i) q^{85} +(-1.66593 + 2.88547i) q^{86} -1.21396 q^{87} +(1.25176 - 2.16812i) q^{88} +13.6078 q^{89} +7.50673 q^{90} +(9.07358 - 2.94451i) q^{91} -7.20722 q^{92} -6.03951 q^{93} +(3.06035 - 5.30067i) q^{94} +3.57239 q^{95} +(1.89362 - 3.27984i) q^{96} +(-0.253120 + 0.438417i) q^{97} +(-5.30921 - 2.70344i) q^{98} +2.30134 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 4q^{2} + q^{3} + 8q^{4} + q^{5} - 9q^{6} - 3q^{7} - 6q^{8} + 3q^{9} + O(q^{10}) \) \( 12q - 4q^{2} + q^{3} + 8q^{4} + q^{5} - 9q^{6} - 3q^{7} - 6q^{8} + 3q^{9} + 4q^{10} + 4q^{11} + 5q^{12} - 2q^{13} - 2q^{14} - 2q^{15} - 16q^{16} - 10q^{17} + 3q^{18} - q^{19} - q^{20} - 9q^{21} - 5q^{22} + 2q^{23} - 11q^{24} + 7q^{25} - 16q^{26} - 8q^{27} - q^{28} + 3q^{29} - 5q^{30} + 16q^{31} - 16q^{32} + 16q^{33} + 32q^{34} + 20q^{35} - 21q^{36} + 26q^{37} - 17q^{38} - 20q^{39} - 5q^{40} - 8q^{41} + 50q^{42} - 11q^{43} + 21q^{44} + 14q^{45} - 32q^{46} - q^{47} + 21q^{48} - 3q^{49} + 6q^{50} - 20q^{51} + 41q^{52} - 2q^{53} + 36q^{54} + 9q^{55} + 9q^{56} + 42q^{57} - 8q^{58} - 26q^{59} + 20q^{60} - 5q^{61} + 5q^{62} - 40q^{63} - 30q^{64} - 5q^{65} + 18q^{66} - 11q^{67} - 58q^{68} + 23q^{69} - 39q^{70} + 6q^{71} + 25q^{72} - 30q^{73} + 6q^{74} + 6q^{75} - 9q^{76} + 11q^{77} + 16q^{78} + 7q^{79} - 7q^{80} - 6q^{81} + q^{82} - 54q^{83} - 46q^{84} - q^{85} - 7q^{86} - 32q^{87} - 8q^{89} - 16q^{90} - 23q^{91} + 54q^{92} + 14q^{93} + 45q^{94} + 12q^{95} + 19q^{96} - 35q^{97} + 20q^{98} - 20q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.851125 −0.601837 −0.300918 0.953650i \(-0.597293\pi\)
−0.300918 + 0.953650i \(0.597293\pi\)
\(3\) −0.330612 + 0.572636i −0.190879 + 0.330612i −0.945542 0.325501i \(-0.894467\pi\)
0.754663 + 0.656113i \(0.227800\pi\)
\(4\) −1.27559 −0.637793
\(5\) −1.72074 + 2.98041i −0.769538 + 1.33288i 0.168276 + 0.985740i \(0.446180\pi\)
−0.937814 + 0.347139i \(0.887153\pi\)
\(6\) 0.281392 0.487385i 0.114878 0.198974i
\(7\) −2.57273 0.617304i −0.972400 0.233319i
\(8\) 2.78793 0.985684
\(9\) 1.28139 + 2.21944i 0.427131 + 0.739812i
\(10\) 1.46456 2.53670i 0.463136 0.802175i
\(11\) 0.448993 0.777679i 0.135377 0.234479i −0.790365 0.612637i \(-0.790109\pi\)
0.925741 + 0.378158i \(0.123442\pi\)
\(12\) 0.421723 0.730446i 0.121741 0.210862i
\(13\) −3.07517 + 1.88237i −0.852900 + 0.522075i
\(14\) 2.18972 + 0.525403i 0.585226 + 0.140420i
\(15\) −1.13779 1.97071i −0.293777 0.508836i
\(16\) 0.178289 0.0445723
\(17\) 1.93681 0.469745 0.234873 0.972026i \(-0.424533\pi\)
0.234873 + 0.972026i \(0.424533\pi\)
\(18\) −1.09063 1.88902i −0.257063 0.445246i
\(19\) −0.519020 0.898968i −0.119071 0.206237i 0.800329 0.599562i \(-0.204658\pi\)
−0.919400 + 0.393324i \(0.871325\pi\)
\(20\) 2.19495 3.80177i 0.490806 0.850101i
\(21\) 1.20406 1.26915i 0.262748 0.276951i
\(22\) −0.382150 + 0.661902i −0.0814745 + 0.141118i
\(23\) 5.65013 1.17813 0.589067 0.808084i \(-0.299496\pi\)
0.589067 + 0.808084i \(0.299496\pi\)
\(24\) −0.921723 + 1.59647i −0.188146 + 0.325878i
\(25\) −3.42189 5.92688i −0.684378 1.18538i
\(26\) 2.61736 1.60213i 0.513306 0.314204i
\(27\) −3.67824 −0.707878
\(28\) 3.28174 + 0.787424i 0.620190 + 0.148809i
\(29\) 0.917969 + 1.58997i 0.170463 + 0.295250i 0.938582 0.345057i \(-0.112140\pi\)
−0.768119 + 0.640307i \(0.778807\pi\)
\(30\) 0.968404 + 1.67733i 0.176806 + 0.306236i
\(31\) 4.56692 + 7.91014i 0.820244 + 1.42070i 0.905501 + 0.424345i \(0.139495\pi\)
−0.0852573 + 0.996359i \(0.527171\pi\)
\(32\) −5.72761 −1.01251
\(33\) 0.296885 + 0.514219i 0.0516810 + 0.0895141i
\(34\) −1.64847 −0.282710
\(35\) 6.26681 6.60556i 1.05929 1.11654i
\(36\) −1.63452 2.83108i −0.272421 0.471847i
\(37\) −10.6000 −1.74263 −0.871316 0.490722i \(-0.836733\pi\)
−0.871316 + 0.490722i \(0.836733\pi\)
\(38\) 0.441751 + 0.765135i 0.0716614 + 0.124121i
\(39\) −0.0612242 2.38329i −0.00980372 0.381631i
\(40\) −4.79731 + 8.30918i −0.758521 + 1.31380i
\(41\) 2.66571 + 4.61715i 0.416314 + 0.721078i 0.995565 0.0940715i \(-0.0299882\pi\)
−0.579251 + 0.815149i \(0.696655\pi\)
\(42\) −1.02481 + 1.08021i −0.158132 + 0.166679i
\(43\) 1.95732 3.39018i 0.298489 0.516998i −0.677302 0.735706i \(-0.736851\pi\)
0.975790 + 0.218708i \(0.0701841\pi\)
\(44\) −0.572729 + 0.991996i −0.0863422 + 0.149549i
\(45\) −8.81977 −1.31477
\(46\) −4.80897 −0.709044
\(47\) −3.59565 + 6.22784i −0.524479 + 0.908424i 0.475115 + 0.879924i \(0.342407\pi\)
−0.999594 + 0.0285004i \(0.990927\pi\)
\(48\) −0.0589445 + 0.102095i −0.00850791 + 0.0147361i
\(49\) 6.23787 + 3.17631i 0.891124 + 0.453759i
\(50\) 2.91246 + 5.04452i 0.411883 + 0.713403i
\(51\) −0.640331 + 1.10909i −0.0896643 + 0.155303i
\(52\) 3.92265 2.40112i 0.543973 0.332976i
\(53\) 4.69324 + 8.12893i 0.644666 + 1.11659i 0.984378 + 0.176065i \(0.0563370\pi\)
−0.339712 + 0.940529i \(0.610330\pi\)
\(54\) 3.13065 0.426027
\(55\) 1.54520 + 2.67637i 0.208355 + 0.360881i
\(56\) −7.17260 1.72100i −0.958479 0.229979i
\(57\) 0.686375 0.0909127
\(58\) −0.781307 1.35326i −0.102591 0.177692i
\(59\) −0.510517 −0.0664637 −0.0332318 0.999448i \(-0.510580\pi\)
−0.0332318 + 0.999448i \(0.510580\pi\)
\(60\) 1.45135 + 2.51382i 0.187369 + 0.324532i
\(61\) −0.718095 1.24378i −0.0919426 0.159249i 0.816386 0.577507i \(-0.195974\pi\)
−0.908328 + 0.418258i \(0.862641\pi\)
\(62\) −3.88702 6.73252i −0.493653 0.855031i
\(63\) −1.92661 6.50102i −0.242730 0.819051i
\(64\) 4.51834 0.564792
\(65\) −0.318655 12.4043i −0.0395242 1.53857i
\(66\) −0.252686 0.437665i −0.0311035 0.0538729i
\(67\) 4.22466 7.31732i 0.516124 0.893953i −0.483701 0.875233i \(-0.660708\pi\)
0.999825 0.0187197i \(-0.00595900\pi\)
\(68\) −2.47057 −0.299600
\(69\) −1.86800 + 3.23547i −0.224881 + 0.389504i
\(70\) −5.33385 + 5.62216i −0.637516 + 0.671977i
\(71\) 1.72419 2.98638i 0.204623 0.354418i −0.745389 0.666629i \(-0.767736\pi\)
0.950013 + 0.312211i \(0.101070\pi\)
\(72\) 3.57244 + 6.18764i 0.421016 + 0.729221i
\(73\) −5.45026 9.44013i −0.637905 1.10488i −0.985892 0.167384i \(-0.946468\pi\)
0.347987 0.937499i \(-0.386865\pi\)
\(74\) 9.02195 1.04878
\(75\) 4.52526 0.522532
\(76\) 0.662054 + 1.14671i 0.0759428 + 0.131537i
\(77\) −1.63520 + 1.72359i −0.186349 + 0.196422i
\(78\) 0.0521095 + 2.02848i 0.00590024 + 0.229680i
\(79\) 6.04589 10.4718i 0.680216 1.17817i −0.294699 0.955590i \(-0.595219\pi\)
0.974915 0.222578i \(-0.0714472\pi\)
\(80\) −0.306789 + 0.531375i −0.0343001 + 0.0594095i
\(81\) −2.62811 + 4.55201i −0.292012 + 0.505779i
\(82\) −2.26886 3.92977i −0.250553 0.433971i
\(83\) 1.51669 0.166479 0.0832393 0.996530i \(-0.473473\pi\)
0.0832393 + 0.996530i \(0.473473\pi\)
\(84\) −1.53589 + 1.61891i −0.167579 + 0.176637i
\(85\) −3.33274 + 5.77248i −0.361487 + 0.626113i
\(86\) −1.66593 + 2.88547i −0.179642 + 0.311148i
\(87\) −1.21396 −0.130151
\(88\) 1.25176 2.16812i 0.133438 0.231122i
\(89\) 13.6078 1.44243 0.721213 0.692714i \(-0.243585\pi\)
0.721213 + 0.692714i \(0.243585\pi\)
\(90\) 7.50673 0.791279
\(91\) 9.07358 2.94451i 0.951170 0.308668i
\(92\) −7.20722 −0.751405
\(93\) −6.03951 −0.626268
\(94\) 3.06035 5.30067i 0.315651 0.546723i
\(95\) 3.57239 0.366519
\(96\) 1.89362 3.27984i 0.193266 0.334747i
\(97\) −0.253120 + 0.438417i −0.0257005 + 0.0445145i −0.878590 0.477578i \(-0.841515\pi\)
0.852889 + 0.522092i \(0.174848\pi\)
\(98\) −5.30921 2.70344i −0.536311 0.273089i
\(99\) 2.30134 0.231294
\(100\) 4.36491 + 7.56025i 0.436491 + 0.756025i
\(101\) 2.99327 5.18450i 0.297842 0.515877i −0.677800 0.735246i \(-0.737067\pi\)
0.975642 + 0.219369i \(0.0703999\pi\)
\(102\) 0.545002 0.943972i 0.0539633 0.0934671i
\(103\) 2.06651 3.57930i 0.203619 0.352679i −0.746073 0.665865i \(-0.768063\pi\)
0.949692 + 0.313186i \(0.101396\pi\)
\(104\) −8.57338 + 5.24792i −0.840689 + 0.514601i
\(105\) 1.71070 + 5.77248i 0.166947 + 0.563336i
\(106\) −3.99454 6.91874i −0.387984 0.672008i
\(107\) −14.1234 −1.36536 −0.682679 0.730718i \(-0.739185\pi\)
−0.682679 + 0.730718i \(0.739185\pi\)
\(108\) 4.69191 0.451479
\(109\) 2.10119 + 3.63936i 0.201257 + 0.348588i 0.948934 0.315475i \(-0.102164\pi\)
−0.747677 + 0.664063i \(0.768831\pi\)
\(110\) −1.31516 2.27792i −0.125396 0.217191i
\(111\) 3.50449 6.06995i 0.332631 0.576135i
\(112\) −0.458690 0.110059i −0.0433421 0.0103996i
\(113\) −6.88472 + 11.9247i −0.647660 + 1.12178i 0.336020 + 0.941855i \(0.390919\pi\)
−0.983680 + 0.179926i \(0.942414\pi\)
\(114\) −0.584192 −0.0547146
\(115\) −9.72240 + 16.8397i −0.906618 + 1.57031i
\(116\) −1.17095 2.02814i −0.108720 0.188308i
\(117\) −8.11830 4.41310i −0.750537 0.407991i
\(118\) 0.434514 0.0400003
\(119\) −4.98288 1.19560i −0.456780 0.109601i
\(120\) −3.17209 5.49422i −0.289571 0.501552i
\(121\) 5.09681 + 8.82793i 0.463346 + 0.802539i
\(122\) 0.611189 + 1.05861i 0.0553344 + 0.0958420i
\(123\) −3.52526 −0.317862
\(124\) −5.82550 10.0901i −0.523145 0.906114i
\(125\) 6.34531 0.567542
\(126\) 1.63978 + 5.53318i 0.146084 + 0.492935i
\(127\) −0.972482 1.68439i −0.0862938 0.149465i 0.819648 0.572868i \(-0.194169\pi\)
−0.905942 + 0.423402i \(0.860836\pi\)
\(128\) 7.60956 0.672596
\(129\) 1.29423 + 2.24167i 0.113950 + 0.197368i
\(130\) 0.271215 + 10.5576i 0.0237871 + 0.925967i
\(131\) 6.01770 10.4230i 0.525769 0.910659i −0.473780 0.880643i \(-0.657111\pi\)
0.999549 0.0300158i \(-0.00955576\pi\)
\(132\) −0.378702 0.655931i −0.0329618 0.0570914i
\(133\) 0.780360 + 2.63319i 0.0676658 + 0.228327i
\(134\) −3.59571 + 6.22796i −0.310622 + 0.538014i
\(135\) 6.32930 10.9627i 0.544739 0.943516i
\(136\) 5.39970 0.463020
\(137\) 8.71715 0.744756 0.372378 0.928081i \(-0.378543\pi\)
0.372378 + 0.928081i \(0.378543\pi\)
\(138\) 1.58990 2.75379i 0.135341 0.234418i
\(139\) −2.10625 + 3.64813i −0.178650 + 0.309430i −0.941418 0.337241i \(-0.890506\pi\)
0.762769 + 0.646672i \(0.223840\pi\)
\(140\) −7.99386 + 8.42596i −0.675604 + 0.712124i
\(141\) −2.37752 4.11799i −0.200224 0.346798i
\(142\) −1.46750 + 2.54178i −0.123150 + 0.213302i
\(143\) 0.0831467 + 3.23667i 0.00695307 + 0.270664i
\(144\) 0.228459 + 0.395702i 0.0190382 + 0.0329751i
\(145\) −6.31834 −0.524710
\(146\) 4.63885 + 8.03473i 0.383914 + 0.664959i
\(147\) −3.88118 + 2.52190i −0.320115 + 0.208003i
\(148\) 13.5212 1.11144
\(149\) −2.93242 5.07910i −0.240233 0.416096i 0.720548 0.693406i \(-0.243891\pi\)
−0.960781 + 0.277310i \(0.910557\pi\)
\(150\) −3.85157 −0.314479
\(151\) 8.42840 + 14.5984i 0.685893 + 1.18800i 0.973155 + 0.230150i \(0.0739216\pi\)
−0.287262 + 0.957852i \(0.592745\pi\)
\(152\) −1.44699 2.50626i −0.117367 0.203285i
\(153\) 2.48181 + 4.29862i 0.200643 + 0.347523i
\(154\) 1.39176 1.46699i 0.112151 0.118214i
\(155\) −31.4339 −2.52483
\(156\) 0.0780967 + 3.04009i 0.00625274 + 0.243402i
\(157\) 0.969500 + 1.67922i 0.0773746 + 0.134017i 0.902116 0.431493i \(-0.142013\pi\)
−0.824742 + 0.565509i \(0.808680\pi\)
\(158\) −5.14581 + 8.91280i −0.409379 + 0.709065i
\(159\) −6.20656 −0.492212
\(160\) 9.85573 17.0706i 0.779164 1.34955i
\(161\) −14.5362 3.48785i −1.14562 0.274881i
\(162\) 2.23685 3.87433i 0.175743 0.304396i
\(163\) 5.94797 + 10.3022i 0.465881 + 0.806929i 0.999241 0.0389590i \(-0.0124042\pi\)
−0.533360 + 0.845888i \(0.679071\pi\)
\(164\) −3.40035 5.88957i −0.265522 0.459898i
\(165\) −2.04344 −0.159082
\(166\) −1.29090 −0.100193
\(167\) −8.28801 14.3553i −0.641346 1.11084i −0.985133 0.171796i \(-0.945043\pi\)
0.343787 0.939048i \(-0.388290\pi\)
\(168\) 3.35685 3.53831i 0.258987 0.272986i
\(169\) 5.91338 11.5772i 0.454875 0.890555i
\(170\) 2.83658 4.91310i 0.217556 0.376818i
\(171\) 1.33013 2.30386i 0.101718 0.176181i
\(172\) −2.49673 + 4.32447i −0.190374 + 0.329738i
\(173\) 4.99328 + 8.64862i 0.379632 + 0.657542i 0.991009 0.133798i \(-0.0427172\pi\)
−0.611377 + 0.791340i \(0.709384\pi\)
\(174\) 1.03324 0.0783295
\(175\) 5.14490 + 17.3606i 0.388918 + 1.31234i
\(176\) 0.0800507 0.138652i 0.00603405 0.0104513i
\(177\) 0.168783 0.292341i 0.0126865 0.0219737i
\(178\) −11.5820 −0.868105
\(179\) −4.58829 + 7.94715i −0.342945 + 0.593998i −0.984978 0.172679i \(-0.944758\pi\)
0.642033 + 0.766677i \(0.278091\pi\)
\(180\) 11.2504 0.838553
\(181\) 6.00489 0.446340 0.223170 0.974780i \(-0.428360\pi\)
0.223170 + 0.974780i \(0.428360\pi\)
\(182\) −7.72276 + 2.50614i −0.572449 + 0.185768i
\(183\) 0.949642 0.0701995
\(184\) 15.7522 1.16127
\(185\) 18.2399 31.5924i 1.34102 2.32272i
\(186\) 5.14038 0.376911
\(187\) 0.869614 1.50622i 0.0635925 0.110145i
\(188\) 4.58655 7.94415i 0.334509 0.579386i
\(189\) 9.46312 + 2.27059i 0.688341 + 0.165161i
\(190\) −3.04055 −0.220585
\(191\) −0.658061 1.13980i −0.0476156 0.0824727i 0.841235 0.540669i \(-0.181829\pi\)
−0.888851 + 0.458197i \(0.848496\pi\)
\(192\) −1.49382 + 2.58736i −0.107807 + 0.186727i
\(193\) 8.21270 14.2248i 0.591163 1.02392i −0.402913 0.915238i \(-0.632002\pi\)
0.994076 0.108686i \(-0.0346643\pi\)
\(194\) 0.215437 0.373148i 0.0154675 0.0267905i
\(195\) 7.20852 + 3.91854i 0.516213 + 0.280613i
\(196\) −7.95694 4.05166i −0.568353 0.289404i
\(197\) 12.7938 + 22.1594i 0.911517 + 1.57879i 0.811922 + 0.583766i \(0.198421\pi\)
0.0995951 + 0.995028i \(0.468245\pi\)
\(198\) −1.95873 −0.139201
\(199\) −25.3788 −1.79906 −0.899528 0.436864i \(-0.856089\pi\)
−0.899528 + 0.436864i \(0.856089\pi\)
\(200\) −9.54000 16.5238i −0.674580 1.16841i
\(201\) 2.79344 + 4.83838i 0.197034 + 0.341273i
\(202\) −2.54765 + 4.41266i −0.179252 + 0.310473i
\(203\) −1.38019 4.65723i −0.0968704 0.326873i
\(204\) 0.816797 1.41473i 0.0571873 0.0990512i
\(205\) −18.3480 −1.28148
\(206\) −1.75886 + 3.04643i −0.122546 + 0.212255i
\(207\) 7.24003 + 12.5401i 0.503217 + 0.871597i
\(208\) −0.548271 + 0.335606i −0.0380157 + 0.0232701i
\(209\) −0.932145 −0.0644778
\(210\) −1.45602 4.91310i −0.100475 0.339036i
\(211\) 2.84824 + 4.93330i 0.196081 + 0.339622i 0.947254 0.320483i \(-0.103845\pi\)
−0.751173 + 0.660105i \(0.770512\pi\)
\(212\) −5.98663 10.3691i −0.411164 0.712156i
\(213\) 1.14007 + 1.97466i 0.0781165 + 0.135302i
\(214\) 12.0208 0.821723
\(215\) 6.73608 + 11.6672i 0.459397 + 0.795699i
\(216\) −10.2547 −0.697744
\(217\) −6.86649 23.1698i −0.466128 1.57287i
\(218\) −1.78837 3.09755i −0.121124 0.209793i
\(219\) 7.20768 0.487050
\(220\) −1.97104 3.41393i −0.132887 0.230167i
\(221\) −5.95602 + 3.64579i −0.400645 + 0.245242i
\(222\) −2.98276 + 5.16629i −0.200190 + 0.346739i
\(223\) −1.17906 2.04219i −0.0789558 0.136755i 0.823844 0.566817i \(-0.191825\pi\)
−0.902800 + 0.430061i \(0.858492\pi\)
\(224\) 14.7356 + 3.53568i 0.984564 + 0.236238i
\(225\) 8.76956 15.1893i 0.584637 1.01262i
\(226\) 5.85976 10.1494i 0.389786 0.675129i
\(227\) 26.2926 1.74510 0.872551 0.488523i \(-0.162464\pi\)
0.872551 + 0.488523i \(0.162464\pi\)
\(228\) −0.875531 −0.0579834
\(229\) −0.0342777 + 0.0593708i −0.00226514 + 0.00392333i −0.867156 0.498037i \(-0.834054\pi\)
0.864891 + 0.501960i \(0.167388\pi\)
\(230\) 8.27498 14.3327i 0.545636 0.945069i
\(231\) −0.446374 1.50622i −0.0293693 0.0991017i
\(232\) 2.55924 + 4.43273i 0.168022 + 0.291023i
\(233\) −7.33514 + 12.7048i −0.480541 + 0.832322i −0.999751 0.0223253i \(-0.992893\pi\)
0.519210 + 0.854647i \(0.326226\pi\)
\(234\) 6.90969 + 3.75610i 0.451701 + 0.245544i
\(235\) −12.3743 21.4330i −0.807213 1.39813i
\(236\) 0.651208 0.0423901
\(237\) 3.99768 + 6.92419i 0.259677 + 0.449774i
\(238\) 4.24106 + 1.01761i 0.274907 + 0.0659616i
\(239\) 3.35434 0.216974 0.108487 0.994098i \(-0.465399\pi\)
0.108487 + 0.994098i \(0.465399\pi\)
\(240\) −0.202856 0.351357i −0.0130943 0.0226800i
\(241\) −8.57978 −0.552672 −0.276336 0.961061i \(-0.589120\pi\)
−0.276336 + 0.961061i \(0.589120\pi\)
\(242\) −4.33802 7.51368i −0.278859 0.482998i
\(243\) −7.25513 12.5662i −0.465417 0.806125i
\(244\) 0.915991 + 1.58654i 0.0586403 + 0.101568i
\(245\) −20.2005 + 13.1258i −1.29056 + 0.838576i
\(246\) 3.00044 0.191301
\(247\) 3.28826 + 1.78750i 0.209227 + 0.113736i
\(248\) 12.7323 + 22.0530i 0.808501 + 1.40036i
\(249\) −0.501436 + 0.868513i −0.0317772 + 0.0550398i
\(250\) −5.40066 −0.341568
\(251\) −10.7575 + 18.6326i −0.679010 + 1.17608i 0.296270 + 0.955104i \(0.404257\pi\)
−0.975280 + 0.220975i \(0.929076\pi\)
\(252\) 2.45755 + 8.29260i 0.154811 + 0.522385i
\(253\) 2.53687 4.39399i 0.159492 0.276248i
\(254\) 0.827704 + 1.43363i 0.0519348 + 0.0899537i
\(255\) −2.20369 3.81690i −0.138000 0.239023i
\(256\) −15.5134 −0.969585
\(257\) 4.93792 0.308019 0.154010 0.988069i \(-0.450781\pi\)
0.154010 + 0.988069i \(0.450781\pi\)
\(258\) −1.10155 1.90794i −0.0685795 0.118783i
\(259\) 27.2710 + 6.54344i 1.69454 + 0.406590i
\(260\) 0.406471 + 15.8228i 0.0252083 + 0.981288i
\(261\) −2.35256 + 4.07475i −0.145620 + 0.252221i
\(262\) −5.12182 + 8.87125i −0.316427 + 0.548068i
\(263\) 4.47719 7.75473i 0.276076 0.478177i −0.694330 0.719656i \(-0.744299\pi\)
0.970406 + 0.241480i \(0.0776327\pi\)
\(264\) 0.827695 + 1.43361i 0.0509411 + 0.0882326i
\(265\) −32.3034 −1.98438
\(266\) −0.664184 2.24118i −0.0407237 0.137415i
\(267\) −4.49890 + 7.79233i −0.275328 + 0.476883i
\(268\) −5.38891 + 9.33387i −0.329180 + 0.570157i
\(269\) −4.82345 −0.294091 −0.147045 0.989130i \(-0.546976\pi\)
−0.147045 + 0.989130i \(0.546976\pi\)
\(270\) −5.38702 + 9.33060i −0.327844 + 0.567842i
\(271\) −7.42144 −0.450820 −0.225410 0.974264i \(-0.572372\pi\)
−0.225410 + 0.974264i \(0.572372\pi\)
\(272\) 0.345312 0.0209376
\(273\) −1.31370 + 6.16935i −0.0795088 + 0.373386i
\(274\) −7.41938 −0.448221
\(275\) −6.14562 −0.370595
\(276\) 2.38279 4.12712i 0.143427 0.248423i
\(277\) 3.81631 0.229300 0.114650 0.993406i \(-0.463425\pi\)
0.114650 + 0.993406i \(0.463425\pi\)
\(278\) 1.79268 3.10502i 0.107518 0.186226i
\(279\) −11.7040 + 20.2720i −0.700702 + 1.21365i
\(280\) 17.4715 18.4159i 1.04412 1.10056i
\(281\) 8.54978 0.510037 0.255019 0.966936i \(-0.417918\pi\)
0.255019 + 0.966936i \(0.417918\pi\)
\(282\) 2.02357 + 3.50493i 0.120502 + 0.208715i
\(283\) −7.63217 + 13.2193i −0.453686 + 0.785807i −0.998612 0.0526775i \(-0.983224\pi\)
0.544926 + 0.838484i \(0.316558\pi\)
\(284\) −2.19935 + 3.80938i −0.130507 + 0.226045i
\(285\) −1.18107 + 2.04568i −0.0699607 + 0.121176i
\(286\) −0.0707683 2.75481i −0.00418461 0.162895i
\(287\) −4.00797 13.5242i −0.236583 0.798310i
\(288\) −7.33932 12.7121i −0.432474 0.749066i
\(289\) −13.2488 −0.779340
\(290\) 5.37770 0.315790
\(291\) −0.167369 0.289892i −0.00981135 0.0169938i
\(292\) 6.95227 + 12.0417i 0.406851 + 0.704687i
\(293\) 2.96982 5.14388i 0.173499 0.300509i −0.766142 0.642671i \(-0.777826\pi\)
0.939641 + 0.342163i \(0.111159\pi\)
\(294\) 3.30337 2.14646i 0.192657 0.125184i
\(295\) 0.878467 1.52155i 0.0511463 0.0885881i
\(296\) −29.5522 −1.71768
\(297\) −1.65151 + 2.86049i −0.0958301 + 0.165983i
\(298\) 2.49586 + 4.32295i 0.144581 + 0.250422i
\(299\) −17.3751 + 10.6356i −1.00483 + 0.615074i
\(300\) −5.77236 −0.333267
\(301\) −7.12843 + 7.51376i −0.410876 + 0.433086i
\(302\) −7.17362 12.4251i −0.412796 0.714983i
\(303\) 1.97922 + 3.42811i 0.113703 + 0.196940i
\(304\) −0.0925356 0.160276i −0.00530728 0.00919248i
\(305\) 4.94262 0.283013
\(306\) −2.11233 3.65867i −0.120754 0.209152i
\(307\) 22.2133 1.26778 0.633891 0.773422i \(-0.281457\pi\)
0.633891 + 0.773422i \(0.281457\pi\)
\(308\) 2.08584 2.19859i 0.118852 0.125276i
\(309\) 1.36642 + 2.36672i 0.0777332 + 0.134638i
\(310\) 26.7542 1.51954
\(311\) −4.92130 8.52394i −0.279061 0.483348i 0.692091 0.721811i \(-0.256690\pi\)
−0.971152 + 0.238463i \(0.923357\pi\)
\(312\) −0.170689 6.64445i −0.00966337 0.376168i
\(313\) 10.4563 18.1108i 0.591023 1.02368i −0.403072 0.915168i \(-0.632058\pi\)
0.994095 0.108513i \(-0.0346090\pi\)
\(314\) −0.825166 1.42923i −0.0465668 0.0806561i
\(315\) 22.6909 + 5.44448i 1.27849 + 0.306762i
\(316\) −7.71205 + 13.3577i −0.433837 + 0.751427i
\(317\) 12.6801 21.9626i 0.712188 1.23355i −0.251847 0.967767i \(-0.581038\pi\)
0.964034 0.265778i \(-0.0856288\pi\)
\(318\) 5.28256 0.296231
\(319\) 1.64865 0.0923065
\(320\) −7.77489 + 13.4665i −0.434629 + 0.752800i
\(321\) 4.66935 8.08755i 0.260618 0.451403i
\(322\) 12.3722 + 2.96860i 0.689474 + 0.165433i
\(323\) −1.00524 1.74113i −0.0559331 0.0968790i
\(324\) 3.35237 5.80648i 0.186243 0.322582i
\(325\) 21.6795 + 11.7849i 1.20256 + 0.653711i
\(326\) −5.06247 8.76845i −0.280384 0.485640i
\(327\) −2.77871 −0.153663
\(328\) 7.43183 + 12.8723i 0.410354 + 0.710755i
\(329\) 13.0951 13.8029i 0.721956 0.760981i
\(330\) 1.73923 0.0957413
\(331\) −0.891417 1.54398i −0.0489967 0.0848648i 0.840487 0.541832i \(-0.182269\pi\)
−0.889484 + 0.456967i \(0.848936\pi\)
\(332\) −1.93467 −0.106179
\(333\) −13.5828 23.5261i −0.744332 1.28922i
\(334\) 7.05414 + 12.2181i 0.385985 + 0.668546i
\(335\) 14.5391 + 25.1824i 0.794354 + 1.37586i
\(336\) 0.214672 0.226276i 0.0117113 0.0123444i
\(337\) 9.56149 0.520848 0.260424 0.965494i \(-0.416138\pi\)
0.260424 + 0.965494i \(0.416138\pi\)
\(338\) −5.03303 + 9.85366i −0.273761 + 0.535969i
\(339\) −4.55234 7.88488i −0.247249 0.428248i
\(340\) 4.25120 7.36329i 0.230554 0.399331i
\(341\) 8.20207 0.444167
\(342\) −1.13211 + 1.96087i −0.0612176 + 0.106032i
\(343\) −14.0876 12.0225i −0.760659 0.649152i
\(344\) 5.45689 9.45160i 0.294216 0.509596i
\(345\) −6.42867 11.1348i −0.346108 0.599477i
\(346\) −4.24991 7.36106i −0.228477 0.395733i
\(347\) 0.633389 0.0340021 0.0170010 0.999855i \(-0.494588\pi\)
0.0170010 + 0.999855i \(0.494588\pi\)
\(348\) 1.54852 0.0830092
\(349\) −15.2994 26.4994i −0.818960 1.41848i −0.906449 0.422315i \(-0.861217\pi\)
0.0874885 0.996166i \(-0.472116\pi\)
\(350\) −4.37895 14.7761i −0.234065 0.789813i
\(351\) 11.3112 6.92381i 0.603749 0.369565i
\(352\) −2.57166 + 4.45425i −0.137070 + 0.237412i
\(353\) 0.550173 0.952928i 0.0292828 0.0507192i −0.851013 0.525145i \(-0.824011\pi\)
0.880295 + 0.474426i \(0.157344\pi\)
\(354\) −0.143655 + 0.248819i −0.00763520 + 0.0132246i
\(355\) 5.93375 + 10.2776i 0.314931 + 0.545476i
\(356\) −17.3579 −0.919969
\(357\) 2.33204 2.45810i 0.123425 0.130096i
\(358\) 3.90521 6.76402i 0.206397 0.357489i
\(359\) 4.88693 8.46441i 0.257922 0.446734i −0.707763 0.706450i \(-0.750295\pi\)
0.965685 + 0.259716i \(0.0836288\pi\)
\(360\) −24.5889 −1.29595
\(361\) 8.96124 15.5213i 0.471644 0.816912i
\(362\) −5.11091 −0.268624
\(363\) −6.74026 −0.353772
\(364\) −11.5741 + 3.75597i −0.606649 + 0.196866i
\(365\) 37.5139 1.96357
\(366\) −0.808264 −0.0422487
\(367\) 5.57363 9.65381i 0.290941 0.503925i −0.683092 0.730333i \(-0.739365\pi\)
0.974033 + 0.226408i \(0.0726983\pi\)
\(368\) 1.00736 0.0525121
\(369\) −6.83165 + 11.8328i −0.355641 + 0.615989i
\(370\) −15.5244 + 26.8891i −0.807076 + 1.39790i
\(371\) −7.05641 23.8107i −0.366351 1.23619i
\(372\) 7.70391 0.399429
\(373\) 15.3651 + 26.6131i 0.795573 + 1.37797i 0.922475 + 0.386057i \(0.126163\pi\)
−0.126902 + 0.991915i \(0.540504\pi\)
\(374\) −0.740150 + 1.28198i −0.0382723 + 0.0662895i
\(375\) −2.09783 + 3.63355i −0.108332 + 0.187636i
\(376\) −10.0244 + 17.3628i −0.516970 + 0.895419i
\(377\) −5.81582 3.16147i −0.299530 0.162824i
\(378\) −8.05430 1.93256i −0.414269 0.0994002i
\(379\) −11.3286 19.6217i −0.581912 1.00790i −0.995253 0.0973246i \(-0.968972\pi\)
0.413341 0.910576i \(-0.364362\pi\)
\(380\) −4.55689 −0.233763
\(381\) 1.28606 0.0658866
\(382\) 0.560093 + 0.970109i 0.0286568 + 0.0496351i
\(383\) 0.294631 + 0.510317i 0.0150550 + 0.0260760i 0.873455 0.486905i \(-0.161874\pi\)
−0.858400 + 0.512981i \(0.828541\pi\)
\(384\) −2.51581 + 4.35751i −0.128384 + 0.222368i
\(385\) −2.32325 7.83942i −0.118404 0.399534i
\(386\) −6.99004 + 12.1071i −0.355783 + 0.616235i
\(387\) 10.0324 0.509975
\(388\) 0.322877 0.559239i 0.0163916 0.0283910i
\(389\) −2.84973 4.93587i −0.144487 0.250259i 0.784695 0.619883i \(-0.212820\pi\)
−0.929181 + 0.369624i \(0.879486\pi\)
\(390\) −6.13536 3.33517i −0.310676 0.168883i
\(391\) 10.9432 0.553422
\(392\) 17.3908 + 8.85535i 0.878367 + 0.447263i
\(393\) 3.97904 + 6.89191i 0.200716 + 0.347651i
\(394\) −10.8891 18.8605i −0.548584 0.950176i
\(395\) 20.8068 + 36.0384i 1.04690 + 1.81329i
\(396\) −2.93556 −0.147518
\(397\) 12.7641 + 22.1082i 0.640614 + 1.10958i 0.985296 + 0.170857i \(0.0546535\pi\)
−0.344682 + 0.938720i \(0.612013\pi\)
\(398\) 21.6005 1.08274
\(399\) −1.76586 0.423703i −0.0884035 0.0212117i
\(400\) −0.610086 1.05670i −0.0305043 0.0528350i
\(401\) 25.5011 1.27347 0.636733 0.771085i \(-0.280286\pi\)
0.636733 + 0.771085i \(0.280286\pi\)
\(402\) −2.37757 4.11807i −0.118582 0.205391i
\(403\) −28.9339 15.7284i −1.44130 0.783489i
\(404\) −3.81817 + 6.61327i −0.189961 + 0.329022i
\(405\) −9.04457 15.6657i −0.449428 0.778433i
\(406\) 1.17472 + 3.96388i 0.0583002 + 0.196724i
\(407\) −4.75934 + 8.24341i −0.235912 + 0.408611i
\(408\) −1.78520 + 3.09206i −0.0883807 + 0.153080i
\(409\) 0.146988 0.00726807 0.00363403 0.999993i \(-0.498843\pi\)
0.00363403 + 0.999993i \(0.498843\pi\)
\(410\) 15.6164 0.771241
\(411\) −2.88199 + 4.99175i −0.142158 + 0.246225i
\(412\) −2.63601 + 4.56570i −0.129867 + 0.224936i
\(413\) 1.31342 + 0.315145i 0.0646293 + 0.0155072i
\(414\) −6.16217 10.6732i −0.302854 0.524559i
\(415\) −2.60983 + 4.52036i −0.128112 + 0.221896i
\(416\) 17.6134 10.7815i 0.863568 0.528606i
\(417\) −1.39270 2.41223i −0.0682008 0.118127i
\(418\) 0.793372 0.0388051
\(419\) −6.84795 11.8610i −0.334544 0.579447i 0.648853 0.760914i \(-0.275249\pi\)
−0.983397 + 0.181466i \(0.941916\pi\)
\(420\) −2.18215 7.36329i −0.106478 0.359292i
\(421\) 3.44169 0.167738 0.0838688 0.996477i \(-0.473272\pi\)
0.0838688 + 0.996477i \(0.473272\pi\)
\(422\) −2.42421 4.19885i −0.118009 0.204397i
\(423\) −18.4297 −0.896084
\(424\) 13.0844 + 22.6629i 0.635437 + 1.10061i
\(425\) −6.62754 11.4792i −0.321483 0.556825i
\(426\) −0.970345 1.68069i −0.0470134 0.0814295i
\(427\) 1.07967 + 3.64318i 0.0522491 + 0.176306i
\(428\) 18.0156 0.870816
\(429\) −1.88092 1.02247i −0.0908118 0.0493652i
\(430\) −5.73325 9.93028i −0.276482 0.478881i
\(431\) −11.1455 + 19.3046i −0.536861 + 0.929870i 0.462210 + 0.886771i \(0.347057\pi\)
−0.999071 + 0.0430997i \(0.986277\pi\)
\(432\) −0.655791 −0.0315518
\(433\) 12.9481 22.4268i 0.622247 1.07776i −0.366819 0.930292i \(-0.619553\pi\)
0.989066 0.147472i \(-0.0471136\pi\)
\(434\) 5.84424 + 19.7204i 0.280533 + 0.946611i
\(435\) 2.08892 3.61811i 0.100156 0.173475i
\(436\) −2.68024 4.64232i −0.128360 0.222327i
\(437\) −2.93253 5.07929i −0.140282 0.242975i
\(438\) −6.13464 −0.293124
\(439\) −27.9838 −1.33560 −0.667798 0.744343i \(-0.732763\pi\)
−0.667798 + 0.744343i \(0.732763\pi\)
\(440\) 4.30792 + 7.46153i 0.205372 + 0.355715i
\(441\) 0.943533 + 17.9147i 0.0449301 + 0.853079i
\(442\) 5.06932 3.10302i 0.241123 0.147596i
\(443\) −16.6044 + 28.7597i −0.788900 + 1.36642i 0.137741 + 0.990468i \(0.456016\pi\)
−0.926641 + 0.375947i \(0.877317\pi\)
\(444\) −4.47028 + 7.74275i −0.212150 + 0.367454i
\(445\) −23.4155 + 40.5568i −1.11000 + 1.92258i
\(446\) 1.00353 + 1.73816i 0.0475185 + 0.0823044i
\(447\) 3.87796 0.183421
\(448\) −11.6245 2.78919i −0.549204 0.131777i
\(449\) −9.84320 + 17.0489i −0.464529 + 0.804589i −0.999180 0.0404845i \(-0.987110\pi\)
0.534651 + 0.845073i \(0.320443\pi\)
\(450\) −7.46399 + 12.9280i −0.351856 + 0.609433i
\(451\) 4.78755 0.225437
\(452\) 8.78205 15.2110i 0.413073 0.715464i
\(453\) −11.1461 −0.523690
\(454\) −22.3783 −1.05027
\(455\) −6.83744 + 32.1097i −0.320544 + 1.50533i
\(456\) 1.91357 0.0896111
\(457\) −0.746942 −0.0349405 −0.0174702 0.999847i \(-0.505561\pi\)
−0.0174702 + 0.999847i \(0.505561\pi\)
\(458\) 0.0291746 0.0505320i 0.00136324 0.00236120i
\(459\) −7.12405 −0.332522
\(460\) 12.4017 21.4805i 0.578235 1.00153i
\(461\) 16.5855 28.7269i 0.772464 1.33795i −0.163744 0.986503i \(-0.552357\pi\)
0.936209 0.351445i \(-0.114309\pi\)
\(462\) 0.379920 + 1.28198i 0.0176755 + 0.0596430i
\(463\) −30.7521 −1.42917 −0.714586 0.699548i \(-0.753385\pi\)
−0.714586 + 0.699548i \(0.753385\pi\)
\(464\) 0.163664 + 0.283475i 0.00759792 + 0.0131600i
\(465\) 10.3924 18.0002i 0.481937 0.834740i
\(466\) 6.24313 10.8134i 0.289207 0.500922i
\(467\) 14.8033 25.6400i 0.685013 1.18648i −0.288420 0.957504i \(-0.593130\pi\)
0.973433 0.228973i \(-0.0735367\pi\)
\(468\) 10.3556 + 5.62928i 0.478687 + 0.260214i
\(469\) −15.3859 + 16.2176i −0.710456 + 0.748859i
\(470\) 10.5321 + 18.2422i 0.485810 + 0.841448i
\(471\) −1.28211 −0.0590766
\(472\) −1.42329 −0.0655122
\(473\) −1.75765 3.04434i −0.0808168 0.139979i
\(474\) −3.40253 5.89335i −0.156283 0.270691i
\(475\) −3.55205 + 6.15234i −0.162979 + 0.282289i
\(476\) 6.35609 + 1.52509i 0.291331 + 0.0699024i
\(477\) −12.0278 + 20.8327i −0.550714 + 0.953864i
\(478\) −2.85496 −0.130583
\(479\) −7.04527 + 12.2028i −0.321907 + 0.557559i −0.980881 0.194606i \(-0.937657\pi\)
0.658975 + 0.752165i \(0.270990\pi\)
\(480\) 6.51684 + 11.2875i 0.297452 + 0.515201i
\(481\) 32.5969 19.9531i 1.48629 0.909785i
\(482\) 7.30247 0.332618
\(483\) 6.80312 7.17086i 0.309553 0.326285i
\(484\) −6.50142 11.2608i −0.295519 0.511854i
\(485\) −0.871108 1.50880i −0.0395550 0.0685112i
\(486\) 6.17502 + 10.6955i 0.280105 + 0.485156i
\(487\) −16.7955 −0.761075 −0.380537 0.924766i \(-0.624261\pi\)
−0.380537 + 0.924766i \(0.624261\pi\)
\(488\) −2.00200 3.46757i −0.0906263 0.156969i
\(489\) −7.86587 −0.355707
\(490\) 17.1931 11.1717i 0.776706 0.504686i
\(491\) −10.8345 18.7659i −0.488954 0.846893i 0.510965 0.859601i \(-0.329288\pi\)
−0.999919 + 0.0127081i \(0.995955\pi\)
\(492\) 4.49677 0.202730
\(493\) 1.77793 + 3.07947i 0.0800740 + 0.138692i
\(494\) −2.79873 1.52138i −0.125921 0.0684503i
\(495\) −3.96001 + 6.85895i −0.177989 + 0.308287i
\(496\) 0.814234 + 1.41029i 0.0365602 + 0.0633241i
\(497\) −6.27937 + 6.61880i −0.281668 + 0.296894i
\(498\) 0.426785 0.739213i 0.0191247 0.0331249i
\(499\) 11.6524 20.1825i 0.521633 0.903495i −0.478051 0.878332i \(-0.658656\pi\)
0.999683 0.0251622i \(-0.00801023\pi\)
\(500\) −8.09399 −0.361974
\(501\) 10.9605 0.489677
\(502\) 9.15601 15.8587i 0.408653 0.707807i
\(503\) 21.9415 38.0037i 0.978322 1.69450i 0.309816 0.950796i \(-0.399732\pi\)
0.668506 0.743707i \(-0.266934\pi\)
\(504\) −5.37125 18.1244i −0.239255 0.807325i
\(505\) 10.3013 + 17.8423i 0.458401 + 0.793974i
\(506\) −2.15919 + 3.73983i −0.0959879 + 0.166256i
\(507\) 4.67450 + 7.21378i 0.207602 + 0.320375i
\(508\) 1.24048 + 2.14858i 0.0550376 + 0.0953279i
\(509\) 19.9242 0.883125 0.441563 0.897230i \(-0.354424\pi\)
0.441563 + 0.897230i \(0.354424\pi\)
\(510\) 1.87561 + 3.24866i 0.0830536 + 0.143853i
\(511\) 8.19461 + 27.6514i 0.362508 + 1.22322i
\(512\) −2.01529 −0.0890641
\(513\) 1.90908 + 3.30662i 0.0842879 + 0.145991i
\(514\) −4.20279 −0.185377
\(515\) 7.11185 + 12.3181i 0.313386 + 0.542800i
\(516\) −1.65090 2.85944i −0.0726767 0.125880i
\(517\) 3.22884 + 5.59252i 0.142004 + 0.245959i
\(518\) −23.2110 5.56929i −1.01983 0.244700i
\(519\) −6.60335 −0.289855
\(520\) −0.888388 34.5825i −0.0389584 1.51654i
\(521\) 8.26204 + 14.3103i 0.361967 + 0.626944i 0.988284 0.152623i \(-0.0487721\pi\)
−0.626318 + 0.779568i \(0.715439\pi\)
\(522\) 2.00232 3.46812i 0.0876392 0.151796i
\(523\) −11.9962 −0.524556 −0.262278 0.964992i \(-0.584474\pi\)
−0.262278 + 0.964992i \(0.584474\pi\)
\(524\) −7.67609 + 13.2954i −0.335332 + 0.580812i
\(525\) −11.6423 2.79346i −0.508111 0.121917i
\(526\) −3.81065 + 6.60024i −0.166152 + 0.287784i
\(527\) 8.84526 + 15.3204i 0.385305 + 0.667369i
\(528\) 0.0529314 + 0.0916798i 0.00230354 + 0.00398985i
\(529\) 8.92395 0.387998
\(530\) 27.4942 1.19427
\(531\) −0.654173 1.13306i −0.0283887 0.0491706i
\(532\) −0.995416 3.35886i −0.0431567 0.145625i
\(533\) −16.8887 9.18068i −0.731531 0.397660i
\(534\) 3.82913 6.63225i 0.165703 0.287005i
\(535\) 24.3026 42.0934i 1.05070 1.81986i
\(536\) 11.7781 20.4002i 0.508735 0.881155i
\(537\) −3.03388 5.25484i −0.130922 0.226763i
\(538\) 4.10536 0.176995
\(539\) 5.27091 3.42492i 0.227034 0.147522i
\(540\) −8.07356 + 13.9838i −0.347431 + 0.601767i
\(541\) −18.1158 + 31.3775i −0.778860 + 1.34903i 0.153739 + 0.988112i \(0.450869\pi\)
−0.932599 + 0.360914i \(0.882465\pi\)
\(542\) 6.31658 0.271320
\(543\) −1.98529 + 3.43862i −0.0851968 + 0.147565i
\(544\) −11.0933 −0.475621
\(545\) −14.4624 −0.619500
\(546\) 1.11812 5.25089i 0.0478513 0.224717i
\(547\) −7.34857 −0.314202 −0.157101 0.987583i \(-0.550215\pi\)
−0.157101 + 0.987583i \(0.550215\pi\)
\(548\) −11.1195 −0.475000
\(549\) 1.84032 3.18753i 0.0785430 0.136040i
\(550\) 5.23069 0.223037
\(551\) 0.952888 1.65045i 0.0405944 0.0703115i
\(552\) −5.20786 + 9.02027i −0.221661 + 0.383928i
\(553\) −22.0187 + 23.2089i −0.936331 + 0.986944i
\(554\) −3.24816 −0.138001
\(555\) 12.0606 + 20.8896i 0.511945 + 0.886715i
\(556\) 2.68670 4.65350i 0.113941 0.197352i
\(557\) −5.41399 + 9.37731i −0.229398 + 0.397329i −0.957630 0.288002i \(-0.907009\pi\)
0.728232 + 0.685331i \(0.240342\pi\)
\(558\) 9.96160 17.2540i 0.421708 0.730420i
\(559\) 0.362466 + 14.1098i 0.0153307 + 0.596781i
\(560\) 1.11731 1.17770i 0.0472148 0.0497670i
\(561\) 0.575009 + 0.995945i 0.0242769 + 0.0420488i
\(562\) −7.27694 −0.306959
\(563\) −13.8599 −0.584127 −0.292064 0.956399i \(-0.594342\pi\)
−0.292064 + 0.956399i \(0.594342\pi\)
\(564\) 3.03274 + 5.25285i 0.127701 + 0.221185i
\(565\) −23.6936 41.0386i −0.996798 1.72651i
\(566\) 6.49594 11.2513i 0.273045 0.472927i
\(567\) 9.57138 10.0888i 0.401960 0.423688i
\(568\) 4.80692 8.32583i 0.201694 0.349344i
\(569\) 27.4120 1.14917 0.574586 0.818444i \(-0.305163\pi\)
0.574586 + 0.818444i \(0.305163\pi\)
\(570\) 1.00524 1.74113i 0.0421049 0.0729279i
\(571\) 0.103879 + 0.179923i 0.00434719 + 0.00752956i 0.868191 0.496230i \(-0.165283\pi\)
−0.863844 + 0.503760i \(0.831950\pi\)
\(572\) −0.106061 4.12865i −0.00443462 0.172627i
\(573\) 0.870251 0.0363552
\(574\) 3.41129 + 11.5108i 0.142384 + 0.480452i
\(575\) −19.3341 33.4876i −0.806288 1.39653i
\(576\) 5.78976 + 10.0282i 0.241240 + 0.417840i
\(577\) 1.66328 + 2.88089i 0.0692434 + 0.119933i 0.898568 0.438833i \(-0.144608\pi\)
−0.829325 + 0.558766i \(0.811275\pi\)
\(578\) 11.2764 0.469035
\(579\) 5.43043 + 9.40577i 0.225681 + 0.390891i
\(580\) 8.05959 0.334656
\(581\) −3.90204 0.936261i −0.161884 0.0388426i
\(582\) 0.142452 + 0.246734i 0.00590483 + 0.0102275i
\(583\) 8.42893 0.349091
\(584\) −15.1950 26.3185i −0.628772 1.08907i
\(585\) 27.1223 16.6020i 1.12137 0.686410i
\(586\) −2.52769 + 4.37809i −0.104418 + 0.180857i
\(587\) 7.54051 + 13.0606i 0.311230 + 0.539067i 0.978629 0.205634i \(-0.0659256\pi\)
−0.667399 + 0.744701i \(0.732592\pi\)
\(588\) 4.95078 3.21690i 0.204167 0.132663i
\(589\) 4.74064 8.21104i 0.195335 0.338330i
\(590\) −0.747686 + 1.29503i −0.0307817 + 0.0533155i
\(591\) −16.9191 −0.695957
\(592\) −1.88987 −0.0776732
\(593\) −12.9245 + 22.3859i −0.530747 + 0.919281i 0.468609 + 0.883405i \(0.344755\pi\)
−0.999356 + 0.0358751i \(0.988578\pi\)
\(594\) 1.40564 2.43464i 0.0576740 0.0998944i
\(595\) 12.1376 12.7937i 0.497594 0.524491i
\(596\) 3.74055 + 6.47882i 0.153219 + 0.265383i
\(597\) 8.39052 14.5328i 0.343401 0.594788i
\(598\) 14.7884 9.05225i 0.604743 0.370174i
\(599\) 17.7734 + 30.7845i 0.726203 + 1.25782i 0.958477 + 0.285170i \(0.0920501\pi\)
−0.232274 + 0.972650i \(0.574617\pi\)
\(600\) 12.6161 0.515052
\(601\) 13.6474 + 23.6379i 0.556688 + 0.964212i 0.997770 + 0.0667449i \(0.0212614\pi\)
−0.441082 + 0.897467i \(0.645405\pi\)
\(602\) 6.06719 6.39515i 0.247280 0.260647i
\(603\) 21.6538 0.881810
\(604\) −10.7511 18.6215i −0.437458 0.757699i
\(605\) −35.0811 −1.42625
\(606\) −1.68456 2.91775i −0.0684308 0.118526i
\(607\) 19.4629 + 33.7108i 0.789976 + 1.36828i 0.925981 + 0.377570i \(0.123240\pi\)
−0.136006 + 0.990708i \(0.543426\pi\)
\(608\) 2.97274 + 5.14894i 0.120561 + 0.208817i
\(609\) 3.12320 + 0.749386i 0.126559 + 0.0303666i
\(610\) −4.20679 −0.170328
\(611\) −0.665859 25.9200i −0.0269378 1.04861i
\(612\) −3.16576 5.48326i −0.127968 0.221648i
\(613\) −0.443322 + 0.767857i −0.0179056 + 0.0310135i −0.874839 0.484413i \(-0.839033\pi\)
0.856934 + 0.515427i \(0.172367\pi\)
\(614\) −18.9063 −0.762997
\(615\) 6.06606 10.5067i 0.244607 0.423672i
\(616\) −4.55884 + 4.80526i −0.183681 + 0.193609i
\(617\) −17.3944 + 30.1280i −0.700272 + 1.21291i 0.268099 + 0.963391i \(0.413605\pi\)
−0.968371 + 0.249515i \(0.919729\pi\)
\(618\) −1.16300 2.01437i −0.0467827 0.0810300i
\(619\) −1.02781 1.78021i −0.0413111 0.0715529i 0.844631 0.535350i \(-0.179820\pi\)
−0.885942 + 0.463797i \(0.846487\pi\)
\(620\) 40.0967 1.61032
\(621\) −20.7825 −0.833975
\(622\) 4.18864 + 7.25494i 0.167949 + 0.290897i
\(623\) −35.0092 8.40016i −1.40262 0.336545i
\(624\) −0.0109156 0.424915i −0.000436975 0.0170102i
\(625\) 6.19081 10.7228i 0.247632 0.428912i
\(626\) −8.89959 + 15.4145i −0.355699 + 0.616089i
\(627\) 0.308178 0.533780i 0.0123074 0.0213171i
\(628\) −1.23668 2.14199i −0.0493489 0.0854749i
\(629\) −20.5302 −0.818593
\(630\) −19.3128 4.63393i −0.769439 0.184620i
\(631\) 22.6169 39.1736i 0.900363 1.55947i 0.0733401 0.997307i \(-0.476634\pi\)
0.827023 0.562168i \(-0.190033\pi\)
\(632\) 16.8555 29.1946i 0.670477 1.16130i
\(633\) −3.76665 −0.149711
\(634\) −10.7924 + 18.6930i −0.428621 + 0.742393i
\(635\) 6.69355 0.265625
\(636\) 7.91700 0.313929
\(637\) −25.1615 + 1.97426i −0.996936 + 0.0782229i
\(638\) −1.40321 −0.0555534
\(639\) 8.83744 0.349604
\(640\) −13.0941 + 22.6796i −0.517588 + 0.896489i
\(641\) −19.0619 −0.752902 −0.376451 0.926437i \(-0.622856\pi\)
−0.376451 + 0.926437i \(0.622856\pi\)
\(642\) −3.97420 + 6.88352i −0.156849 + 0.271671i
\(643\) 5.26755 9.12367i 0.207732 0.359802i −0.743268 0.668994i \(-0.766725\pi\)
0.951000 + 0.309192i \(0.100058\pi\)
\(644\) 18.5422 + 4.44905i 0.730666 + 0.175317i
\(645\) −8.90811 −0.350756
\(646\) 0.855587 + 1.48192i 0.0336626 + 0.0583053i
\(647\) 12.0804 20.9239i 0.474930 0.822603i −0.524658 0.851313i \(-0.675807\pi\)
0.999588 + 0.0287105i \(0.00914011\pi\)
\(648\) −7.32699 + 12.6907i −0.287831 + 0.498538i
\(649\) −0.229219 + 0.397019i −0.00899762 + 0.0155843i
\(650\) −18.4520 10.0305i −0.723745 0.393427i
\(651\) 15.5380 + 3.72822i 0.608983 + 0.146120i
\(652\) −7.58714 13.1413i −0.297135 0.514654i
\(653\) −33.6890 −1.31835 −0.659176 0.751988i \(-0.729095\pi\)
−0.659176 + 0.751988i \(0.729095\pi\)
\(654\) 2.36503 0.0924799
\(655\) 20.7098 + 35.8704i 0.809199 + 1.40157i
\(656\) 0.475268 + 0.823189i 0.0185561 + 0.0321401i
\(657\) 13.9678 24.1930i 0.544937 0.943859i
\(658\) −11.1456 + 11.7480i −0.434500 + 0.457986i
\(659\) 2.10030 3.63782i 0.0818159 0.141709i −0.822214 0.569178i \(-0.807261\pi\)
0.904030 + 0.427469i \(0.140595\pi\)
\(660\) 2.60659 0.101461
\(661\) −8.83631 + 15.3049i −0.343693 + 0.595293i −0.985115 0.171894i \(-0.945011\pi\)
0.641423 + 0.767188i \(0.278345\pi\)
\(662\) 0.758708 + 1.31412i 0.0294880 + 0.0510748i
\(663\) −0.118580 4.61597i −0.00460525 0.179270i
\(664\) 4.22844 0.164095
\(665\) −9.19079 2.20525i −0.356404 0.0855160i
\(666\) 11.5607 + 20.0236i 0.447966 + 0.775900i
\(667\) 5.18664 + 8.98353i 0.200828 + 0.347844i
\(668\) 10.5721 + 18.3114i 0.409046 + 0.708488i
\(669\) 1.55925 0.0602839
\(670\) −12.3746 21.4334i −0.478071 0.828044i
\(671\) −1.28968 −0.0497875
\(672\) −6.89642 + 7.26920i −0.266035 + 0.280415i
\(673\) 10.3052 + 17.8491i 0.397235 + 0.688031i 0.993384 0.114843i \(-0.0366366\pi\)
−0.596149 + 0.802874i \(0.703303\pi\)
\(674\) −8.13803 −0.313465
\(675\) 12.5865 + 21.8005i 0.484456 + 0.839102i
\(676\) −7.54302 + 14.7677i −0.290116 + 0.567990i
\(677\) 10.6537 18.4527i 0.409455 0.709196i −0.585374 0.810763i \(-0.699052\pi\)
0.994829 + 0.101567i \(0.0323857\pi\)
\(678\) 3.87461 + 6.71102i 0.148804 + 0.257735i
\(679\) 0.921847 0.971677i 0.0353772 0.0372895i
\(680\) −9.29147 + 16.0933i −0.356312 + 0.617150i
\(681\) −8.69264 + 15.0561i −0.333103 + 0.576951i
\(682\) −6.98099 −0.267316
\(683\) −6.69757 −0.256275 −0.128138 0.991756i \(-0.540900\pi\)
−0.128138 + 0.991756i \(0.540900\pi\)
\(684\) −1.69670 + 2.93877i −0.0648750 + 0.112367i
\(685\) −14.9999 + 25.9806i −0.573118 + 0.992670i
\(686\) 11.9903 + 10.2326i 0.457792 + 0.390683i
\(687\) −0.0226652 0.0392573i −0.000864732 0.00149776i
\(688\) 0.348970 0.604433i 0.0133043 0.0230438i
\(689\) −29.7342 16.1635i −1.13278 0.615779i
\(690\) 5.47161 + 9.47710i 0.208301 + 0.360787i
\(691\) −24.9263 −0.948242 −0.474121 0.880460i \(-0.657234\pi\)
−0.474121 + 0.880460i \(0.657234\pi\)
\(692\) −6.36936 11.0321i −0.242127 0.419376i
\(693\) −5.92074 1.42063i −0.224910 0.0539653i
\(694\) −0.539093 −0.0204637
\(695\) −7.24861 12.5550i −0.274955 0.476237i
\(696\) −3.38445 −0.128287
\(697\) 5.16298 + 8.94254i 0.195562 + 0.338723i
\(698\) 13.0217 + 22.5543i 0.492880 + 0.853694i
\(699\) −4.85017 8.40073i −0.183450 0.317745i
\(700\) −6.56276 22.1449i −0.248049 0.837000i
\(701\) −4.94583 −0.186801 −0.0934007 0.995629i \(-0.529774\pi\)
−0.0934007 + 0.995629i \(0.529774\pi\)
\(702\) −9.62728 + 5.89303i −0.363358 + 0.222418i
\(703\) 5.50162 + 9.52908i 0.207497 + 0.359396i
\(704\) 2.02870 3.51382i 0.0764597 0.132432i
\(705\) 16.3644 0.616319
\(706\) −0.468266 + 0.811061i −0.0176234 + 0.0305247i
\(707\) −10.9013 + 11.4905i −0.409985 + 0.432147i
\(708\) −0.215297 + 0.372905i −0.00809136 + 0.0140146i
\(709\) 2.32249 + 4.02267i 0.0872228 + 0.151074i 0.906336 0.422557i \(-0.138867\pi\)
−0.819113 + 0.573632i \(0.805534\pi\)
\(710\) −5.05037 8.74749i −0.189537 0.328288i
\(711\) 30.9886 1.16216
\(712\) 37.9377 1.42178
\(713\) 25.8037 + 44.6933i 0.966356 + 1.67378i
\(714\) −1.98486 + 2.09215i −0.0742816 + 0.0782968i
\(715\) −9.78966 5.32165i −0.366113 0.199018i
\(716\) 5.85275 10.1373i 0.218728 0.378847i
\(717\) −1.10898 + 1.92082i −0.0414157 + 0.0717342i
\(718\) −4.15939 + 7.20427i −0.155227 + 0.268861i
\(719\) −15.8706 27.4887i −0.591875 1.02516i −0.993980 0.109564i \(-0.965055\pi\)
0.402105 0.915594i \(-0.368279\pi\)
\(720\) −1.57247 −0.0586025
\(721\) −7.52609 + 7.93291i −0.280286 + 0.295437i
\(722\) −7.62714 + 13.2106i −0.283853 + 0.491647i
\(723\) 2.83658 4.91309i 0.105493 0.182720i
\(724\) −7.65975 −0.284672
\(725\) 6.28237 10.8814i 0.233322 0.404125i
\(726\) 5.73681 0.212913
\(727\) 47.8755 1.77560 0.887801 0.460227i \(-0.152232\pi\)
0.887801 + 0.460227i \(0.152232\pi\)
\(728\) 25.2965 8.20909i 0.937552 0.304249i
\(729\) −6.17412 −0.228671
\(730\) −31.9290 −1.18175
\(731\) 3.79096 6.56613i 0.140214 0.242857i
\(732\) −1.21135 −0.0447728
\(733\) 3.80104 6.58359i 0.140395 0.243171i −0.787251 0.616633i \(-0.788496\pi\)
0.927645 + 0.373463i \(0.121830\pi\)
\(734\) −4.74386 + 8.21660i −0.175099 + 0.303280i
\(735\) −0.837796 15.9071i −0.0309026 0.586740i
\(736\) −32.3618 −1.19287
\(737\) −3.79368 6.57086i −0.139742 0.242041i
\(738\) 5.81459 10.0712i 0.214038 0.370725i
\(739\) 16.7118 28.9457i 0.614754 1.06479i −0.375673 0.926752i \(-0.622589\pi\)
0.990428 0.138033i \(-0.0440781\pi\)
\(740\) −23.2665 + 40.2988i −0.855294 + 1.48141i
\(741\) −2.11072 + 1.29201i −0.0775394 + 0.0474632i
\(742\) 6.00589 + 20.2659i 0.220483 + 0.743984i
\(743\) 1.46912 + 2.54458i 0.0538966 + 0.0933517i 0.891715 0.452597i \(-0.149503\pi\)
−0.837818 + 0.545949i \(0.816169\pi\)
\(744\) −16.8378 −0.617302
\(745\) 20.1837 0.739474
\(746\) −13.0776 22.6511i −0.478805 0.829314i
\(747\) 1.94348 + 3.36620i 0.0711081 + 0.123163i
\(748\) −1.10927 + 1.92131i −0.0405588 + 0.0702499i
\(749\) 36.3356 + 8.71842i 1.32767 + 0.318564i
\(750\) 1.78552 3.09261i 0.0651980 0.112926i
\(751\) 1.19678 0.0436711 0.0218355 0.999762i \(-0.493049\pi\)
0.0218355 + 0.999762i \(0.493049\pi\)
\(752\) −0.641065 + 1.11036i −0.0233773 + 0.0404906i
\(753\) −7.11313 12.3203i −0.259217 0.448977i
\(754\) 4.94999 + 2.69081i 0.180268 + 0.0979936i
\(755\) −58.0123 −2.11128
\(756\) −12.0710 2.89634i −0.439019 0.105339i
\(757\) −5.77321 9.99950i −0.209831 0.363438i 0.741830 0.670588i \(-0.233958\pi\)
−0.951661 + 0.307150i \(0.900625\pi\)
\(758\) 9.64207 + 16.7006i 0.350216 + 0.606592i
\(759\) 1.67744 + 2.90541i 0.0608871 + 0.105460i
\(760\) 9.95959 0.361272
\(761\) −17.3249 30.0075i −0.628026 1.08777i −0.987947 0.154790i \(-0.950530\pi\)
0.359921 0.932983i \(-0.382803\pi\)
\(762\) −1.09459 −0.0396530
\(763\) −3.15919 10.6602i −0.114370 0.385924i
\(764\) 0.839413 + 1.45391i 0.0303689 + 0.0526005i
\(765\) −17.0822 −0.617608
\(766\) −0.250768 0.434344i −0.00906063 0.0156935i
\(767\) 1.56993 0.960982i 0.0566869 0.0346990i
\(768\) 5.12890 8.88351i 0.185073 0.320556i
\(769\) 3.27437 + 5.67138i 0.118077 + 0.204515i 0.919006 0.394245i \(-0.128994\pi\)
−0.800929 + 0.598760i \(0.795660\pi\)
\(770\) 1.97738 + 6.67233i 0.0712597 + 0.240454i
\(771\) −1.63253 + 2.82763i −0.0587943 + 0.101835i
\(772\) −10.4760 + 18.1450i −0.377039 + 0.653051i
\(773\) 33.9275 1.22029 0.610143 0.792291i \(-0.291112\pi\)
0.610143 + 0.792291i \(0.291112\pi\)
\(774\) −8.53882 −0.306922
\(775\) 31.2550 54.1352i 1.12271 1.94459i
\(776\) −0.705683 + 1.22228i −0.0253325 + 0.0438772i