Properties

Label 546.2.by.b.19.6
Level $546$
Weight $2$
Character 546.19
Analytic conductor $4.360$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 19.6
Character \(\chi\) \(=\) 546.19
Dual form 546.2.by.b.115.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} -1.00000i q^{3} +(0.866025 + 0.500000i) q^{4} +(-3.15172 + 0.844500i) q^{5} +(0.258819 - 0.965926i) q^{6} +(-2.64535 - 0.0462630i) q^{7} +(0.707107 + 0.707107i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} -1.00000i q^{3} +(0.866025 + 0.500000i) q^{4} +(-3.15172 + 0.844500i) q^{5} +(0.258819 - 0.965926i) q^{6} +(-2.64535 - 0.0462630i) q^{7} +(0.707107 + 0.707107i) q^{8} -1.00000 q^{9} -3.26290 q^{10} +(-0.954682 - 0.954682i) q^{11} +(0.500000 - 0.866025i) q^{12} +(-3.41301 + 1.16248i) q^{13} +(-2.54324 - 0.729353i) q^{14} +(0.844500 + 3.15172i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-1.17710 + 2.03880i) q^{17} +(-0.965926 - 0.258819i) q^{18} +(-3.26997 - 3.26997i) q^{19} +(-3.15172 - 0.844500i) q^{20} +(-0.0462630 + 2.64535i) q^{21} +(-0.675062 - 1.16924i) q^{22} +(0.786006 - 0.453801i) q^{23} +(0.707107 - 0.707107i) q^{24} +(4.89002 - 2.82325i) q^{25} +(-3.59759 + 0.239513i) q^{26} +1.00000i q^{27} +(-2.26781 - 1.36274i) q^{28} +(-4.41535 + 7.64762i) q^{29} +3.26290i q^{30} +(0.496285 - 1.85216i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-0.954682 + 0.954682i) q^{33} +(-1.66467 + 1.66467i) q^{34} +(8.37645 - 2.08819i) q^{35} +(-0.866025 - 0.500000i) q^{36} +(2.95086 - 11.0128i) q^{37} +(-2.31222 - 4.00488i) q^{38} +(1.16248 + 3.41301i) q^{39} +(-2.82575 - 1.63145i) q^{40} +(-2.56627 + 0.687631i) q^{41} +(-0.729353 + 2.54324i) q^{42} +(-1.72993 + 0.998773i) q^{43} +(-0.349438 - 1.30412i) q^{44} +(3.15172 - 0.844500i) q^{45} +(0.876676 - 0.234905i) q^{46} +(1.88337 + 7.02882i) q^{47} +(0.866025 - 0.500000i) q^{48} +(6.99572 + 0.244763i) q^{49} +(5.45410 - 1.46142i) q^{50} +(2.03880 + 1.17710i) q^{51} +(-3.53699 - 0.699772i) q^{52} +(3.56317 + 6.17160i) q^{53} +(-0.258819 + 0.965926i) q^{54} +(3.81512 + 2.20266i) q^{55} +(-1.83783 - 1.90326i) q^{56} +(-3.26997 + 3.26997i) q^{57} +(-6.24425 + 6.24425i) q^{58} +(-1.55838 - 5.81596i) q^{59} +(-0.844500 + 3.15172i) q^{60} +0.730890i q^{61} +(0.958748 - 1.66060i) q^{62} +(2.64535 + 0.0462630i) q^{63} +1.00000i q^{64} +(9.77514 - 6.54608i) q^{65} +(-1.16924 + 0.675062i) q^{66} +(8.73152 - 8.73152i) q^{67} +(-2.03880 + 1.17710i) q^{68} +(-0.453801 - 0.786006i) q^{69} +(8.63150 + 0.150951i) q^{70} +(-2.14989 - 0.576061i) q^{71} +(-0.707107 - 0.707107i) q^{72} +(-6.21032 - 1.66405i) q^{73} +(5.70063 - 9.87378i) q^{74} +(-2.82325 - 4.89002i) q^{75} +(-1.19689 - 4.46686i) q^{76} +(2.48130 + 2.56963i) q^{77} +(0.239513 + 3.59759i) q^{78} +(-6.18489 + 10.7125i) q^{79} +(-2.30722 - 2.30722i) q^{80} +1.00000 q^{81} -2.65680 q^{82} +(-2.48034 - 2.48034i) q^{83} +(-1.36274 + 2.26781i) q^{84} +(1.98812 - 7.41977i) q^{85} +(-1.92948 + 0.517003i) q^{86} +(7.64762 + 4.41535i) q^{87} -1.35012i q^{88} +(-4.45779 - 1.19446i) q^{89} +3.26290 q^{90} +(9.08238 - 2.91726i) q^{91} +0.907601 q^{92} +(-1.85216 - 0.496285i) q^{93} +7.27677i q^{94} +(13.0675 + 7.54453i) q^{95} +(0.965926 - 0.258819i) q^{96} +(-2.33821 + 8.72634i) q^{97} +(6.69400 + 2.04705i) q^{98} +(0.954682 + 0.954682i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 4q^{7} - 40q^{9} - 4q^{11} + 20q^{12} + 4q^{14} + 20q^{16} + 8q^{17} + 8q^{19} - 8q^{21} - 4q^{22} + 24q^{23} + 24q^{25} - 8q^{26} + 4q^{28} - 12q^{29} + 24q^{31} - 4q^{33} + 8q^{34} + 28q^{35} - 8q^{37} - 8q^{38} - 16q^{39} - 20q^{41} - 12q^{42} - 24q^{43} + 8q^{44} - 4q^{46} - 16q^{47} + 4q^{49} - 16q^{50} - 24q^{51} - 4q^{52} - 4q^{53} - 24q^{55} + 12q^{56} + 8q^{57} + 24q^{58} - 12q^{59} - 32q^{62} + 4q^{63} - 4q^{65} - 24q^{67} + 24q^{68} + 8q^{69} + 52q^{70} - 28q^{71} + 108q^{73} + 20q^{74} - 36q^{75} - 4q^{76} + 12q^{77} + 4q^{78} + 40q^{81} - 48q^{82} - 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{87} - 60q^{89} - 40q^{91} - 16q^{92} - 48q^{95} + 48q^{97} - 8q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 0.258819i 0.683013 + 0.183013i
\(3\) 1.00000i 0.577350i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −3.15172 + 0.844500i −1.40949 + 0.377672i −0.881743 0.471729i \(-0.843630\pi\)
−0.527747 + 0.849401i \(0.676963\pi\)
\(6\) 0.258819 0.965926i 0.105662 0.394338i
\(7\) −2.64535 0.0462630i −0.999847 0.0174858i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −1.00000 −0.333333
\(10\) −3.26290 −1.03182
\(11\) −0.954682 0.954682i −0.287847 0.287847i 0.548381 0.836229i \(-0.315244\pi\)
−0.836229 + 0.548381i \(0.815244\pi\)
\(12\) 0.500000 0.866025i 0.144338 0.250000i
\(13\) −3.41301 + 1.16248i −0.946599 + 0.322413i
\(14\) −2.54324 0.729353i −0.679708 0.194928i
\(15\) 0.844500 + 3.15172i 0.218049 + 0.813770i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −1.17710 + 2.03880i −0.285488 + 0.494480i −0.972728 0.231951i \(-0.925489\pi\)
0.687239 + 0.726431i \(0.258822\pi\)
\(18\) −0.965926 0.258819i −0.227671 0.0610042i
\(19\) −3.26997 3.26997i −0.750183 0.750183i 0.224331 0.974513i \(-0.427980\pi\)
−0.974513 + 0.224331i \(0.927980\pi\)
\(20\) −3.15172 0.844500i −0.704745 0.188836i
\(21\) −0.0462630 + 2.64535i −0.0100954 + 0.577262i
\(22\) −0.675062 1.16924i −0.143924 0.249283i
\(23\) 0.786006 0.453801i 0.163894 0.0946240i −0.415810 0.909452i \(-0.636502\pi\)
0.579703 + 0.814828i \(0.303168\pi\)
\(24\) 0.707107 0.707107i 0.144338 0.144338i
\(25\) 4.89002 2.82325i 0.978003 0.564650i
\(26\) −3.59759 + 0.239513i −0.705545 + 0.0469724i
\(27\) 1.00000i 0.192450i
\(28\) −2.26781 1.36274i −0.428575 0.257533i
\(29\) −4.41535 + 7.64762i −0.819911 + 1.42013i 0.0858368 + 0.996309i \(0.472644\pi\)
−0.905747 + 0.423818i \(0.860690\pi\)
\(30\) 3.26290i 0.595721i
\(31\) 0.496285 1.85216i 0.0891353 0.332658i −0.906930 0.421282i \(-0.861580\pi\)
0.996065 + 0.0886242i \(0.0282470\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) −0.954682 + 0.954682i −0.166189 + 0.166189i
\(34\) −1.66467 + 1.66467i −0.285488 + 0.285488i
\(35\) 8.37645 2.08819i 1.41588 0.352968i
\(36\) −0.866025 0.500000i −0.144338 0.0833333i
\(37\) 2.95086 11.0128i 0.485119 1.81049i −0.0944072 0.995534i \(-0.530096\pi\)
0.579526 0.814954i \(-0.303238\pi\)
\(38\) −2.31222 4.00488i −0.375091 0.649677i
\(39\) 1.16248 + 3.41301i 0.186145 + 0.546519i
\(40\) −2.82575 1.63145i −0.446791 0.257955i
\(41\) −2.56627 + 0.687631i −0.400785 + 0.107390i −0.453580 0.891215i \(-0.649853\pi\)
0.0527957 + 0.998605i \(0.483187\pi\)
\(42\) −0.729353 + 2.54324i −0.112542 + 0.392430i
\(43\) −1.72993 + 0.998773i −0.263811 + 0.152311i −0.626072 0.779765i \(-0.715338\pi\)
0.362261 + 0.932077i \(0.382005\pi\)
\(44\) −0.349438 1.30412i −0.0526797 0.196603i
\(45\) 3.15172 0.844500i 0.469830 0.125891i
\(46\) 0.876676 0.234905i 0.129259 0.0346348i
\(47\) 1.88337 + 7.02882i 0.274717 + 1.02526i 0.956031 + 0.293267i \(0.0947424\pi\)
−0.681313 + 0.731992i \(0.738591\pi\)
\(48\) 0.866025 0.500000i 0.125000 0.0721688i
\(49\) 6.99572 + 0.244763i 0.999388 + 0.0349662i
\(50\) 5.45410 1.46142i 0.771327 0.206676i
\(51\) 2.03880 + 1.17710i 0.285488 + 0.164827i
\(52\) −3.53699 0.699772i −0.490493 0.0970410i
\(53\) 3.56317 + 6.17160i 0.489439 + 0.847734i 0.999926 0.0121516i \(-0.00386808\pi\)
−0.510487 + 0.859886i \(0.670535\pi\)
\(54\) −0.258819 + 0.965926i −0.0352208 + 0.131446i
\(55\) 3.81512 + 2.20266i 0.514430 + 0.297006i
\(56\) −1.83783 1.90326i −0.245590 0.254333i
\(57\) −3.26997 + 3.26997i −0.433118 + 0.433118i
\(58\) −6.24425 + 6.24425i −0.819911 + 0.819911i
\(59\) −1.55838 5.81596i −0.202884 0.757174i −0.990084 0.140476i \(-0.955137\pi\)
0.787200 0.616698i \(-0.211530\pi\)
\(60\) −0.844500 + 3.15172i −0.109024 + 0.406885i
\(61\) 0.730890i 0.0935808i 0.998905 + 0.0467904i \(0.0148993\pi\)
−0.998905 + 0.0467904i \(0.985101\pi\)
\(62\) 0.958748 1.66060i 0.121761 0.210896i
\(63\) 2.64535 + 0.0462630i 0.333282 + 0.00582859i
\(64\) 1.00000i 0.125000i
\(65\) 9.77514 6.54608i 1.21246 0.811942i
\(66\) −1.16924 + 0.675062i −0.143924 + 0.0830944i
\(67\) 8.73152 8.73152i 1.06673 1.06673i 0.0691170 0.997609i \(-0.477982\pi\)
0.997609 0.0691170i \(-0.0220182\pi\)
\(68\) −2.03880 + 1.17710i −0.247240 + 0.142744i
\(69\) −0.453801 0.786006i −0.0546312 0.0946240i
\(70\) 8.63150 + 0.150951i 1.03166 + 0.0180422i
\(71\) −2.14989 0.576061i −0.255145 0.0683659i 0.128979 0.991647i \(-0.458830\pi\)
−0.384124 + 0.923281i \(0.625497\pi\)
\(72\) −0.707107 0.707107i −0.0833333 0.0833333i
\(73\) −6.21032 1.66405i −0.726863 0.194762i −0.123631 0.992328i \(-0.539454\pi\)
−0.603232 + 0.797566i \(0.706121\pi\)
\(74\) 5.70063 9.87378i 0.662684 1.14780i
\(75\) −2.82325 4.89002i −0.326001 0.564650i
\(76\) −1.19689 4.46686i −0.137293 0.512384i
\(77\) 2.48130 + 2.56963i 0.282770 + 0.292837i
\(78\) 0.239513 + 3.59759i 0.0271195 + 0.407347i
\(79\) −6.18489 + 10.7125i −0.695854 + 1.20525i 0.274038 + 0.961719i \(0.411641\pi\)
−0.969892 + 0.243536i \(0.921693\pi\)
\(80\) −2.30722 2.30722i −0.257955 0.257955i
\(81\) 1.00000 0.111111
\(82\) −2.65680 −0.293395
\(83\) −2.48034 2.48034i −0.272253 0.272253i 0.557754 0.830007i \(-0.311663\pi\)
−0.830007 + 0.557754i \(0.811663\pi\)
\(84\) −1.36274 + 2.26781i −0.148687 + 0.247438i
\(85\) 1.98812 7.41977i 0.215642 0.804787i
\(86\) −1.92948 + 0.517003i −0.208061 + 0.0557498i
\(87\) 7.64762 + 4.41535i 0.819911 + 0.473376i
\(88\) 1.35012i 0.143924i
\(89\) −4.45779 1.19446i −0.472525 0.126613i 0.0146949 0.999892i \(-0.495322\pi\)
−0.487220 + 0.873279i \(0.661989\pi\)
\(90\) 3.26290 0.343940
\(91\) 9.08238 2.91726i 0.952092 0.305811i
\(92\) 0.907601 0.0946240
\(93\) −1.85216 0.496285i −0.192060 0.0514623i
\(94\) 7.27677i 0.750541i
\(95\) 13.0675 + 7.54453i 1.34070 + 0.774053i
\(96\) 0.965926 0.258819i 0.0985844 0.0264156i
\(97\) −2.33821 + 8.72634i −0.237410 + 0.886025i 0.739638 + 0.673005i \(0.234997\pi\)
−0.977048 + 0.213020i \(0.931670\pi\)
\(98\) 6.69400 + 2.04705i 0.676196 + 0.206783i
\(99\) 0.954682 + 0.954682i 0.0959491 + 0.0959491i
\(100\) 5.64650 0.564650
\(101\) −14.8000 −1.47266 −0.736329 0.676624i \(-0.763442\pi\)
−0.736329 + 0.676624i \(0.763442\pi\)
\(102\) 1.66467 + 1.66467i 0.164827 + 0.164827i
\(103\) 7.77373 13.4645i 0.765969 1.32670i −0.173764 0.984787i \(-0.555593\pi\)
0.939733 0.341910i \(-0.111074\pi\)
\(104\) −3.23536 1.59137i −0.317253 0.156047i
\(105\) −2.08819 8.37645i −0.203786 0.817458i
\(106\) 1.84443 + 6.88352i 0.179147 + 0.668587i
\(107\) −4.31566 7.47494i −0.417210 0.722630i 0.578447 0.815720i \(-0.303659\pi\)
−0.995658 + 0.0930901i \(0.970326\pi\)
\(108\) −0.500000 + 0.866025i −0.0481125 + 0.0833333i
\(109\) −13.9717 3.74371i −1.33825 0.358582i −0.482463 0.875916i \(-0.660258\pi\)
−0.855784 + 0.517334i \(0.826924\pi\)
\(110\) 3.11503 + 3.11503i 0.297006 + 0.297006i
\(111\) −11.0128 2.95086i −1.04529 0.280083i
\(112\) −1.28261 2.31407i −0.121195 0.218659i
\(113\) 1.28971 + 2.23384i 0.121326 + 0.210142i 0.920291 0.391235i \(-0.127952\pi\)
−0.798965 + 0.601378i \(0.794619\pi\)
\(114\) −4.00488 + 2.31222i −0.375091 + 0.216559i
\(115\) −2.09403 + 2.09403i −0.195270 + 0.195270i
\(116\) −7.64762 + 4.41535i −0.710063 + 0.409955i
\(117\) 3.41301 1.16248i 0.315533 0.107471i
\(118\) 6.02113i 0.554290i
\(119\) 3.20816 5.33886i 0.294091 0.489413i
\(120\) −1.63145 + 2.82575i −0.148930 + 0.257955i
\(121\) 9.17716i 0.834288i
\(122\) −0.189168 + 0.705985i −0.0171265 + 0.0639169i
\(123\) 0.687631 + 2.56627i 0.0620016 + 0.231393i
\(124\) 1.35587 1.35587i 0.121761 0.121761i
\(125\) −1.49162 + 1.49162i −0.133415 + 0.133415i
\(126\) 2.54324 + 0.729353i 0.226569 + 0.0649759i
\(127\) 8.75703 + 5.05587i 0.777061 + 0.448636i 0.835388 0.549661i \(-0.185243\pi\)
−0.0583269 + 0.998298i \(0.518577\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) 0.998773 + 1.72993i 0.0879370 + 0.152311i
\(130\) 11.1363 3.79304i 0.976719 0.332672i
\(131\) 14.4605 + 8.34878i 1.26342 + 0.729436i 0.973735 0.227686i \(-0.0731159\pi\)
0.289686 + 0.957122i \(0.406449\pi\)
\(132\) −1.30412 + 0.349438i −0.113509 + 0.0304147i
\(133\) 8.49893 + 8.80148i 0.736950 + 0.763185i
\(134\) 10.6939 6.17412i 0.923811 0.533363i
\(135\) −0.844500 3.15172i −0.0726830 0.271257i
\(136\) −2.27398 + 0.609311i −0.194992 + 0.0522480i
\(137\) 4.58235 1.22784i 0.391497 0.104901i −0.0577003 0.998334i \(-0.518377\pi\)
0.449197 + 0.893433i \(0.351710\pi\)
\(138\) −0.234905 0.876676i −0.0199964 0.0746276i
\(139\) −6.60535 + 3.81360i −0.560258 + 0.323465i −0.753249 0.657735i \(-0.771515\pi\)
0.192991 + 0.981201i \(0.438181\pi\)
\(140\) 8.29832 + 2.37980i 0.701336 + 0.201130i
\(141\) 7.02882 1.88337i 0.591933 0.158608i
\(142\) −1.92754 1.11287i −0.161755 0.0933896i
\(143\) 4.36814 + 2.14855i 0.365282 + 0.179670i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) 7.45753 27.8319i 0.619315 2.31131i
\(146\) −5.56802 3.21470i −0.460813 0.266050i
\(147\) 0.244763 6.99572i 0.0201877 0.576997i
\(148\) 8.06190 8.06190i 0.662684 0.662684i
\(149\) −10.8249 + 10.8249i −0.886812 + 0.886812i −0.994215 0.107404i \(-0.965746\pi\)
0.107404 + 0.994215i \(0.465746\pi\)
\(150\) −1.46142 5.45410i −0.119325 0.445326i
\(151\) −5.93126 + 22.1358i −0.482679 + 1.80138i 0.107611 + 0.994193i \(0.465680\pi\)
−0.590290 + 0.807191i \(0.700987\pi\)
\(152\) 4.62444i 0.375091i
\(153\) 1.17710 2.03880i 0.0951628 0.164827i
\(154\) 1.73168 + 3.12428i 0.139543 + 0.251762i
\(155\) 6.25660i 0.502542i
\(156\) −0.699772 + 3.53699i −0.0560266 + 0.283186i
\(157\) −3.92065 + 2.26359i −0.312902 + 0.180654i −0.648224 0.761449i \(-0.724488\pi\)
0.335322 + 0.942103i \(0.391155\pi\)
\(158\) −8.74675 + 8.74675i −0.695854 + 0.695854i
\(159\) 6.17160 3.56317i 0.489439 0.282578i
\(160\) −1.63145 2.82575i −0.128977 0.223395i
\(161\) −2.10025 + 1.16410i −0.165523 + 0.0917437i
\(162\) 0.965926 + 0.258819i 0.0758903 + 0.0203347i
\(163\) −10.9762 10.9762i −0.859721 0.859721i 0.131584 0.991305i \(-0.457994\pi\)
−0.991305 + 0.131584i \(0.957994\pi\)
\(164\) −2.56627 0.687631i −0.200392 0.0536950i
\(165\) 2.20266 3.81512i 0.171477 0.297006i
\(166\) −1.75387 3.03779i −0.136126 0.235778i
\(167\) 6.07764 + 22.6820i 0.470302 + 1.75519i 0.638685 + 0.769468i \(0.279479\pi\)
−0.168384 + 0.985722i \(0.553855\pi\)
\(168\) −1.90326 + 1.83783i −0.146839 + 0.141792i
\(169\) 10.2973 7.93509i 0.792100 0.610391i
\(170\) 3.84075 6.65238i 0.294572 0.510214i
\(171\) 3.26997 + 3.26997i 0.250061 + 0.250061i
\(172\) −1.99755 −0.152311
\(173\) −8.06695 −0.613319 −0.306660 0.951819i \(-0.599211\pi\)
−0.306660 + 0.951819i \(0.599211\pi\)
\(174\) 6.24425 + 6.24425i 0.473376 + 0.473376i
\(175\) −13.0664 + 7.24225i −0.987727 + 0.547463i
\(176\) 0.349438 1.30412i 0.0263399 0.0983017i
\(177\) −5.81596 + 1.55838i −0.437154 + 0.117135i
\(178\) −3.99675 2.30752i −0.299569 0.172956i
\(179\) 17.7297i 1.32518i 0.748982 + 0.662590i \(0.230543\pi\)
−0.748982 + 0.662590i \(0.769457\pi\)
\(180\) 3.15172 + 0.844500i 0.234915 + 0.0629453i
\(181\) 4.90151 0.364327 0.182163 0.983268i \(-0.441690\pi\)
0.182163 + 0.983268i \(0.441690\pi\)
\(182\) 9.52795 0.467160i 0.706258 0.0346282i
\(183\) 0.730890 0.0540289
\(184\) 0.876676 + 0.234905i 0.0646294 + 0.0173174i
\(185\) 37.2011i 2.73508i
\(186\) −1.66060 0.958748i −0.121761 0.0702988i
\(187\) 3.07016 0.822646i 0.224512 0.0601578i
\(188\) −1.88337 + 7.02882i −0.137359 + 0.512629i
\(189\) 0.0462630 2.64535i 0.00336514 0.192421i
\(190\) 10.6696 + 10.6696i 0.774053 + 0.774053i
\(191\) 1.73630 0.125634 0.0628172 0.998025i \(-0.479991\pi\)
0.0628172 + 0.998025i \(0.479991\pi\)
\(192\) 1.00000 0.0721688
\(193\) −14.7628 14.7628i −1.06265 1.06265i −0.997901 0.0647507i \(-0.979375\pi\)
−0.0647507 0.997901i \(-0.520625\pi\)
\(194\) −4.51708 + 7.82382i −0.324308 + 0.561717i
\(195\) −6.54608 9.77514i −0.468775 0.700012i
\(196\) 5.93609 + 3.70983i 0.424006 + 0.264988i
\(197\) 0.834638 + 3.11491i 0.0594655 + 0.221928i 0.989264 0.146141i \(-0.0466855\pi\)
−0.929798 + 0.368070i \(0.880019\pi\)
\(198\) 0.675062 + 1.16924i 0.0479746 + 0.0830944i
\(199\) 1.64365 2.84688i 0.116515 0.201810i −0.801869 0.597499i \(-0.796161\pi\)
0.918384 + 0.395689i \(0.129494\pi\)
\(200\) 5.45410 + 1.46142i 0.385663 + 0.103338i
\(201\) −8.73152 8.73152i −0.615874 0.615874i
\(202\) −14.2957 3.83053i −1.00584 0.269515i
\(203\) 12.0339 20.0263i 0.844617 1.40557i
\(204\) 1.17710 + 2.03880i 0.0824134 + 0.142744i
\(205\) 7.50747 4.33444i 0.524344 0.302730i
\(206\) 10.9937 10.9937i 0.765969 0.765969i
\(207\) −0.786006 + 0.453801i −0.0546312 + 0.0315413i
\(208\) −2.71324 2.37452i −0.188129 0.164643i
\(209\) 6.24356i 0.431876i
\(210\) 0.150951 8.63150i 0.0104166 0.595630i
\(211\) −11.5477 + 20.0012i −0.794977 + 1.37694i 0.127876 + 0.991790i \(0.459184\pi\)
−0.922854 + 0.385151i \(0.874149\pi\)
\(212\) 7.12635i 0.489439i
\(213\) −0.576061 + 2.14989i −0.0394711 + 0.147308i
\(214\) −2.23395 8.33721i −0.152710 0.569920i
\(215\) 4.60877 4.60877i 0.314316 0.314316i
\(216\) −0.707107 + 0.707107i −0.0481125 + 0.0481125i
\(217\) −1.39853 + 4.87664i −0.0949385 + 0.331048i
\(218\) −12.5267 7.23229i −0.848414 0.489832i
\(219\) −1.66405 + 6.21032i −0.112446 + 0.419655i
\(220\) 2.20266 + 3.81512i 0.148503 + 0.257215i
\(221\) 1.64740 8.32678i 0.110816 0.560120i
\(222\) −9.87378 5.70063i −0.662684 0.382601i
\(223\) −10.5430 + 2.82498i −0.706009 + 0.189174i −0.593920 0.804524i \(-0.702421\pi\)
−0.112088 + 0.993698i \(0.535754\pi\)
\(224\) −0.639979 2.56718i −0.0427604 0.171527i
\(225\) −4.89002 + 2.82325i −0.326001 + 0.188217i
\(226\) 0.667603 + 2.49153i 0.0444083 + 0.165734i
\(227\) 10.6877 2.86377i 0.709370 0.190075i 0.113946 0.993487i \(-0.463651\pi\)
0.595424 + 0.803412i \(0.296984\pi\)
\(228\) −4.46686 + 1.19689i −0.295825 + 0.0792661i
\(229\) 0.657930 + 2.45543i 0.0434773 + 0.162259i 0.984251 0.176775i \(-0.0565664\pi\)
−0.940774 + 0.339034i \(0.889900\pi\)
\(230\) −2.56466 + 1.48071i −0.169108 + 0.0976348i
\(231\) 2.56963 2.48130i 0.169069 0.163257i
\(232\) −8.52981 + 2.28556i −0.560009 + 0.150054i
\(233\) −22.7469 13.1329i −1.49020 0.860365i −0.490259 0.871577i \(-0.663098\pi\)
−0.999937 + 0.0112116i \(0.996431\pi\)
\(234\) 3.59759 0.239513i 0.235182 0.0156575i
\(235\) −11.8717 20.5623i −0.774423 1.34134i
\(236\) 1.55838 5.81596i 0.101442 0.378587i
\(237\) 10.7125 + 6.18489i 0.695854 + 0.401752i
\(238\) 4.48064 4.32661i 0.290437 0.280453i
\(239\) −9.09071 + 9.09071i −0.588029 + 0.588029i −0.937097 0.349068i \(-0.886498\pi\)
0.349068 + 0.937097i \(0.386498\pi\)
\(240\) −2.30722 + 2.30722i −0.148930 + 0.148930i
\(241\) −0.250209 0.933794i −0.0161174 0.0601510i 0.957399 0.288769i \(-0.0932460\pi\)
−0.973516 + 0.228618i \(0.926579\pi\)
\(242\) 2.37522 8.86446i 0.152685 0.569829i
\(243\) 1.00000i 0.0641500i
\(244\) −0.365445 + 0.632969i −0.0233952 + 0.0405217i
\(245\) −22.2552 + 5.13646i −1.42183 + 0.328156i
\(246\) 2.65680i 0.169392i
\(247\) 14.9617 + 7.35918i 0.951991 + 0.468254i
\(248\) 1.66060 0.958748i 0.105448 0.0608806i
\(249\) −2.48034 + 2.48034i −0.157185 + 0.157185i
\(250\) −1.82686 + 1.05474i −0.115541 + 0.0667074i
\(251\) −7.00072 12.1256i −0.441882 0.765362i 0.555947 0.831217i \(-0.312356\pi\)
−0.997829 + 0.0658558i \(0.979022\pi\)
\(252\) 2.26781 + 1.36274i 0.142858 + 0.0858444i
\(253\) −1.18362 0.317150i −0.0744136 0.0199391i
\(254\) 7.15008 + 7.15008i 0.448636 + 0.448636i
\(255\) −7.41977 1.98812i −0.464644 0.124501i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −15.8191 27.3994i −0.986767 1.70913i −0.633805 0.773493i \(-0.718508\pi\)
−0.352963 0.935637i \(-0.614826\pi\)
\(258\) 0.517003 + 1.92948i 0.0321872 + 0.120124i
\(259\) −8.31554 + 28.9961i −0.516702 + 1.80173i
\(260\) 11.7386 0.781507i 0.727995 0.0484670i
\(261\) 4.41535 7.64762i 0.273304 0.473376i
\(262\) 11.8070 + 11.8070i 0.729436 + 0.729436i
\(263\) 12.1909 0.751720 0.375860 0.926676i \(-0.377347\pi\)
0.375860 + 0.926676i \(0.377347\pi\)
\(264\) −1.35012 −0.0830944
\(265\) −16.4420 16.4420i −1.01003 1.01003i
\(266\) 5.93134 + 10.7013i 0.363674 + 0.656137i
\(267\) −1.19446 + 4.45779i −0.0730999 + 0.272812i
\(268\) 11.9275 3.19596i 0.728587 0.195224i
\(269\) −13.8267 7.98287i −0.843031 0.486724i 0.0152621 0.999884i \(-0.495142\pi\)
−0.858293 + 0.513159i \(0.828475\pi\)
\(270\) 3.26290i 0.198574i
\(271\) 26.0921 + 6.99135i 1.58498 + 0.424694i 0.940463 0.339895i \(-0.110391\pi\)
0.644518 + 0.764589i \(0.277058\pi\)
\(272\) −2.35420 −0.142744
\(273\) −2.91726 9.08238i −0.176560 0.549691i
\(274\) 4.74400 0.286595
\(275\) −7.36372 1.97310i −0.444049 0.118983i
\(276\) 0.907601i 0.0546312i
\(277\) −25.6243 14.7942i −1.53962 0.888898i −0.998861 0.0477173i \(-0.984805\pi\)
−0.540755 0.841180i \(-0.681861\pi\)
\(278\) −7.36731 + 1.97406i −0.441862 + 0.118397i
\(279\) −0.496285 + 1.85216i −0.0297118 + 0.110886i
\(280\) 7.39962 + 4.44648i 0.442212 + 0.265728i
\(281\) −5.11259 5.11259i −0.304992 0.304992i 0.537972 0.842963i \(-0.319191\pi\)
−0.842963 + 0.537972i \(0.819191\pi\)
\(282\) 7.27677 0.433325
\(283\) −19.7916 −1.17649 −0.588245 0.808683i \(-0.700181\pi\)
−0.588245 + 0.808683i \(0.700181\pi\)
\(284\) −1.57383 1.57383i −0.0933896 0.0933896i
\(285\) 7.54453 13.0675i 0.446899 0.774053i
\(286\) 3.66321 + 3.20589i 0.216610 + 0.189568i
\(287\) 6.82050 1.70030i 0.402601 0.100365i
\(288\) −0.258819 0.965926i −0.0152511 0.0569177i
\(289\) 5.72888 + 9.92270i 0.336993 + 0.583689i
\(290\) 14.4068 24.9534i 0.845999 1.46531i
\(291\) 8.72634 + 2.33821i 0.511547 + 0.137069i
\(292\) −4.54627 4.54627i −0.266050 0.266050i
\(293\) 12.5810 + 3.37106i 0.734989 + 0.196940i 0.606850 0.794817i \(-0.292433\pi\)
0.128139 + 0.991756i \(0.459100\pi\)
\(294\) 2.04705 6.69400i 0.119386 0.390402i
\(295\) 9.82316 + 17.0142i 0.571926 + 0.990606i
\(296\) 9.87378 5.70063i 0.573902 0.331342i
\(297\) 0.954682 0.954682i 0.0553963 0.0553963i
\(298\) −13.2578 + 7.65437i −0.768001 + 0.443406i
\(299\) −2.15512 + 2.46254i −0.124634 + 0.142412i
\(300\) 5.64650i 0.326001i
\(301\) 4.62246 2.56207i 0.266434 0.147675i
\(302\) −11.4583 + 19.8464i −0.659352 + 1.14203i
\(303\) 14.8000i 0.850239i
\(304\) 1.19689 4.46686i 0.0686465 0.256192i
\(305\) −0.617236 2.30356i −0.0353428 0.131901i
\(306\) 1.66467 1.66467i 0.0951628 0.0951628i
\(307\) 13.3694 13.3694i 0.763033 0.763033i −0.213836 0.976870i \(-0.568596\pi\)
0.976870 + 0.213836i \(0.0685958\pi\)
\(308\) 0.864052 + 3.46602i 0.0492339 + 0.197495i
\(309\) −13.4645 7.77373i −0.765969 0.442232i
\(310\) −1.61933 + 6.04341i −0.0919715 + 0.343242i
\(311\) −13.3477 23.1190i −0.756881 1.31096i −0.944434 0.328701i \(-0.893389\pi\)
0.187553 0.982254i \(-0.439944\pi\)
\(312\) −1.59137 + 3.23536i −0.0900935 + 0.183166i
\(313\) 17.7118 + 10.2259i 1.00113 + 0.578002i 0.908582 0.417707i \(-0.137166\pi\)
0.0925465 + 0.995708i \(0.470499\pi\)
\(314\) −4.37292 + 1.17172i −0.246778 + 0.0661240i
\(315\) −8.37645 + 2.08819i −0.471960 + 0.117656i
\(316\) −10.7125 + 6.18489i −0.602627 + 0.347927i
\(317\) −4.80051 17.9157i −0.269623 1.00625i −0.959359 0.282187i \(-0.908940\pi\)
0.689736 0.724061i \(-0.257727\pi\)
\(318\) 6.88352 1.84443i 0.386009 0.103431i
\(319\) 11.5163 3.08578i 0.644789 0.172771i
\(320\) −0.844500 3.15172i −0.0472090 0.176186i
\(321\) −7.47494 + 4.31566i −0.417210 + 0.240877i
\(322\) −2.32998 + 0.580846i −0.129845 + 0.0323693i
\(323\) 10.5159 2.81772i 0.585119 0.156782i
\(324\) 0.866025 + 0.500000i 0.0481125 + 0.0277778i
\(325\) −13.4077 + 15.3203i −0.743726 + 0.849818i
\(326\) −7.76134 13.4430i −0.429861 0.744540i
\(327\) −3.74371 + 13.9717i −0.207027 + 0.772637i
\(328\) −2.30086 1.32840i −0.127044 0.0733487i
\(329\) −4.65698 18.6808i −0.256748 1.02991i
\(330\) 3.11503 3.11503i 0.171477 0.171477i
\(331\) 4.13646 4.13646i 0.227360 0.227360i −0.584229 0.811589i \(-0.698603\pi\)
0.811589 + 0.584229i \(0.198603\pi\)
\(332\) −0.907868 3.38821i −0.0498257 0.185952i
\(333\) −2.95086 + 11.0128i −0.161706 + 0.603496i
\(334\) 23.4822i 1.28489i
\(335\) −20.1455 + 34.8931i −1.10067 + 1.90641i
\(336\) −2.31407 + 1.28261i −0.126243 + 0.0699720i
\(337\) 4.58809i 0.249929i 0.992161 + 0.124965i \(0.0398818\pi\)
−0.992161 + 0.124965i \(0.960118\pi\)
\(338\) 12.0002 4.99957i 0.652724 0.271941i
\(339\) 2.23384 1.28971i 0.121326 0.0700475i
\(340\) 5.43165 5.43165i 0.294572 0.294572i
\(341\) −2.24202 + 1.29443i −0.121412 + 0.0700973i
\(342\) 2.31222 + 4.00488i 0.125030 + 0.216559i
\(343\) −18.4948 0.971127i −0.998624 0.0524359i
\(344\) −1.92948 0.517003i −0.104031 0.0278749i
\(345\) 2.09403 + 2.09403i 0.112739 + 0.112739i
\(346\) −7.79208 2.08788i −0.418905 0.112245i
\(347\) 14.3810 24.9086i 0.772011 1.33716i −0.164449 0.986386i \(-0.552584\pi\)
0.936459 0.350776i \(-0.114082\pi\)
\(348\) 4.41535 + 7.64762i 0.236688 + 0.409955i
\(349\) 4.39591 + 16.4058i 0.235308 + 0.878180i 0.978010 + 0.208558i \(0.0668771\pi\)
−0.742702 + 0.669622i \(0.766456\pi\)
\(350\) −14.4956 + 3.61365i −0.774823 + 0.193158i
\(351\) −1.16248 3.41301i −0.0620484 0.182173i
\(352\) 0.675062 1.16924i 0.0359809 0.0623208i
\(353\) 20.3834 + 20.3834i 1.08490 + 1.08490i 0.996044 + 0.0888567i \(0.0283213\pi\)
0.0888567 + 0.996044i \(0.471679\pi\)
\(354\) −6.02113 −0.320019
\(355\) 7.26233 0.385445
\(356\) −3.26333 3.26333i −0.172956 0.172956i
\(357\) −5.33886 3.20816i −0.282563 0.169794i
\(358\) −4.58878 + 17.1256i −0.242525 + 0.905115i
\(359\) −25.8590 + 6.92891i −1.36479 + 0.365694i −0.865572 0.500784i \(-0.833045\pi\)
−0.499216 + 0.866478i \(0.666379\pi\)
\(360\) 2.82575 + 1.63145i 0.148930 + 0.0859849i
\(361\) 2.38540i 0.125548i
\(362\) 4.73450 + 1.26861i 0.248840 + 0.0666764i
\(363\) −9.17716 −0.481676
\(364\) 9.32420 + 2.01477i 0.488721 + 0.105603i
\(365\) 20.9785 1.09806
\(366\) 0.705985 + 0.189168i 0.0369024 + 0.00988798i
\(367\) 11.5334i 0.602040i 0.953618 + 0.301020i \(0.0973272\pi\)
−0.953618 + 0.301020i \(0.902673\pi\)
\(368\) 0.786006 + 0.453801i 0.0409734 + 0.0236560i
\(369\) 2.56627 0.687631i 0.133595 0.0357966i
\(370\) −9.62836 + 35.9335i −0.500555 + 1.86810i
\(371\) −9.14031 16.4909i −0.474541 0.856163i
\(372\) −1.35587 1.35587i −0.0702988 0.0702988i
\(373\) −6.42675 −0.332765 −0.166382 0.986061i \(-0.553209\pi\)
−0.166382 + 0.986061i \(0.553209\pi\)
\(374\) 3.17846 0.164354
\(375\) 1.49162 + 1.49162i 0.0770271 + 0.0770271i
\(376\) −3.63838 + 6.30187i −0.187635 + 0.324994i
\(377\) 6.17948 31.2342i 0.318260 1.60864i
\(378\) 0.729353 2.54324i 0.0375139 0.130810i
\(379\) 4.98986 + 18.6224i 0.256312 + 0.956568i 0.967356 + 0.253421i \(0.0815558\pi\)
−0.711044 + 0.703147i \(0.751778\pi\)
\(380\) 7.54453 + 13.0675i 0.387026 + 0.670349i
\(381\) 5.05587 8.75703i 0.259020 0.448636i
\(382\) 1.67714 + 0.449388i 0.0858099 + 0.0229927i
\(383\) −7.66992 7.66992i −0.391915 0.391915i 0.483455 0.875369i \(-0.339382\pi\)
−0.875369 + 0.483455i \(0.839382\pi\)
\(384\) 0.965926 + 0.258819i 0.0492922 + 0.0132078i
\(385\) −9.99041 6.00330i −0.509158 0.305956i
\(386\) −10.4389 18.0807i −0.531326 0.920284i
\(387\) 1.72993 0.998773i 0.0879370 0.0507705i
\(388\) −6.38812 + 6.38812i −0.324308 + 0.324308i
\(389\) −4.57588 + 2.64188i −0.232006 + 0.133949i −0.611497 0.791247i \(-0.709432\pi\)
0.379491 + 0.925195i \(0.376099\pi\)
\(390\) −3.79304 11.1363i −0.192068 0.563909i
\(391\) 2.13667i 0.108056i
\(392\) 4.77365 + 5.11979i 0.241106 + 0.258589i
\(393\) 8.34878 14.4605i 0.421140 0.729436i
\(394\) 3.22479i 0.162463i
\(395\) 10.4463 38.9860i 0.525609 1.96160i
\(396\) 0.349438 + 1.30412i 0.0175599 + 0.0655345i
\(397\) −14.7011 + 14.7011i −0.737828 + 0.737828i −0.972157 0.234329i \(-0.924711\pi\)
0.234329 + 0.972157i \(0.424711\pi\)
\(398\) 2.32447 2.32447i 0.116515 0.116515i
\(399\) 8.80148 8.49893i 0.440625 0.425478i
\(400\) 4.89002 + 2.82325i 0.244501 + 0.141163i
\(401\) −9.52069 + 35.5317i −0.475441 + 1.77437i 0.144270 + 0.989538i \(0.453917\pi\)
−0.619711 + 0.784830i \(0.712750\pi\)
\(402\) −6.17412 10.6939i −0.307937 0.533363i
\(403\) 0.459265 + 6.89836i 0.0228776 + 0.343632i
\(404\) −12.8172 7.40001i −0.637679 0.368164i
\(405\) −3.15172 + 0.844500i −0.156610 + 0.0419635i
\(406\) 16.8071 16.2293i 0.834122 0.805449i
\(407\) −13.3308 + 7.69655i −0.660784 + 0.381504i
\(408\) 0.609311 + 2.27398i 0.0301654 + 0.112579i
\(409\) −9.23579 + 2.47472i −0.456681 + 0.122367i −0.479824 0.877365i \(-0.659299\pi\)
0.0231430 + 0.999732i \(0.492633\pi\)
\(410\) 8.37349 2.24367i 0.413537 0.110807i
\(411\) −1.22784 4.58235i −0.0605648 0.226031i
\(412\) 13.4645 7.77373i 0.663348 0.382984i
\(413\) 3.85340 + 15.4573i 0.189613 + 0.760605i
\(414\) −0.876676 + 0.234905i −0.0430863 + 0.0115449i
\(415\) 9.91198 + 5.72269i 0.486560 + 0.280916i
\(416\) −2.00622 2.99585i −0.0983629 0.146883i
\(417\) 3.81360 + 6.60535i 0.186753 + 0.323465i
\(418\) −1.61595 + 6.03082i −0.0790388 + 0.294977i
\(419\) 14.0813 + 8.12987i 0.687919 + 0.397170i 0.802832 0.596205i \(-0.203326\pi\)
−0.114913 + 0.993376i \(0.536659\pi\)
\(420\) 2.37980 8.29832i 0.116123 0.404916i
\(421\) 14.9294 14.9294i 0.727614 0.727614i −0.242530 0.970144i \(-0.577977\pi\)
0.970144 + 0.242530i \(0.0779774\pi\)
\(422\) −16.3309 + 16.3309i −0.794977 + 0.794977i
\(423\) −1.88337 7.02882i −0.0915724 0.341753i
\(424\) −1.84443 + 6.88352i −0.0895736 + 0.334293i
\(425\) 13.2930i 0.644804i
\(426\) −1.11287 + 1.92754i −0.0539185 + 0.0933896i
\(427\) 0.0338132 1.93346i 0.00163633 0.0935665i
\(428\) 8.63132i 0.417210i
\(429\) 2.14855 4.36814i 0.103733 0.210896i
\(430\) 5.64457 3.25889i 0.272205 0.157158i
\(431\) 12.9074 12.9074i 0.621729 0.621729i −0.324244 0.945973i \(-0.605110\pi\)
0.945973 + 0.324244i \(0.105110\pi\)
\(432\) −0.866025 + 0.500000i −0.0416667 + 0.0240563i
\(433\) 0.272369 + 0.471756i 0.0130892 + 0.0226712i 0.872496 0.488622i \(-0.162500\pi\)
−0.859407 + 0.511293i \(0.829167\pi\)
\(434\) −2.61305 + 4.34851i −0.125430 + 0.208735i
\(435\) −27.8319 7.45753i −1.33444 0.357561i
\(436\) −10.2280 10.2280i −0.489832 0.489832i
\(437\) −4.05413 1.08630i −0.193935 0.0519648i
\(438\) −3.21470 + 5.56802i −0.153604 + 0.266050i
\(439\) 5.09124 + 8.81828i 0.242991 + 0.420874i 0.961565 0.274577i \(-0.0885380\pi\)
−0.718574 + 0.695451i \(0.755205\pi\)
\(440\) 1.14018 + 4.25521i 0.0543560 + 0.202859i
\(441\) −6.99572 0.244763i −0.333129 0.0116554i
\(442\) 3.74640 7.61667i 0.178198 0.362288i
\(443\) −8.99848 + 15.5858i −0.427531 + 0.740505i −0.996653 0.0817479i \(-0.973950\pi\)
0.569122 + 0.822253i \(0.307283\pi\)
\(444\) −8.06190 8.06190i −0.382601 0.382601i
\(445\) 15.0584 0.713838
\(446\) −10.9149 −0.516834
\(447\) 10.8249 + 10.8249i 0.512001 + 0.512001i
\(448\) 0.0462630 2.64535i 0.00218572 0.124981i
\(449\) −7.09485 + 26.4783i −0.334826 + 1.24959i 0.569231 + 0.822178i \(0.307241\pi\)
−0.904057 + 0.427411i \(0.859426\pi\)
\(450\) −5.45410 + 1.46142i −0.257109 + 0.0688921i
\(451\) 3.10644 + 1.79351i 0.146277 + 0.0844529i
\(452\) 2.57942i 0.121326i
\(453\) 22.1358 + 5.93126i 1.04003 + 0.278675i
\(454\) 11.0648 0.519295
\(455\) −26.1615 + 16.8644i −1.22647 + 0.790617i
\(456\) −4.62444 −0.216559
\(457\) 38.5451 + 10.3281i 1.80306 + 0.483129i 0.994450 0.105211i \(-0.0335518\pi\)
0.808613 + 0.588340i \(0.200219\pi\)
\(458\) 2.54205i 0.118782i
\(459\) −2.03880 1.17710i −0.0951628 0.0549423i
\(460\) −2.86050 + 0.766470i −0.133372 + 0.0357368i
\(461\) 6.42732 23.9871i 0.299350 1.11719i −0.638350 0.769746i \(-0.720383\pi\)
0.937701 0.347444i \(-0.112950\pi\)
\(462\) 3.12428 1.73168i 0.145355 0.0805651i
\(463\) −0.812272 0.812272i −0.0377495 0.0377495i 0.687980 0.725730i \(-0.258498\pi\)
−0.725730 + 0.687980i \(0.758498\pi\)
\(464\) −8.83071 −0.409955
\(465\) 6.25660 0.290143
\(466\) −18.5727 18.5727i −0.860365 0.860365i
\(467\) 16.3896 28.3876i 0.758421 1.31362i −0.185235 0.982694i \(-0.559305\pi\)
0.943656 0.330929i \(-0.107362\pi\)
\(468\) 3.53699 + 0.699772i 0.163498 + 0.0323470i
\(469\) −23.5019 + 22.6940i −1.08521 + 1.04791i
\(470\) −6.14523 22.9343i −0.283458 1.05788i
\(471\) 2.26359 + 3.92065i 0.104301 + 0.180654i
\(472\) 3.01056 5.21445i 0.138572 0.240014i
\(473\) 2.60504 + 0.698018i 0.119780 + 0.0320949i
\(474\) 8.74675 + 8.74675i 0.401752 + 0.401752i
\(475\) −25.2221 6.75825i −1.15727 0.310090i
\(476\) 5.44778 3.01951i 0.249698 0.138399i
\(477\) −3.56317 6.17160i −0.163146 0.282578i
\(478\) −11.1338 + 6.42810i −0.509248 + 0.294015i
\(479\) −1.49287 + 1.49287i −0.0682108 + 0.0682108i −0.740389 0.672178i \(-0.765359\pi\)
0.672178 + 0.740389i \(0.265359\pi\)
\(480\) −2.82575 + 1.63145i −0.128977 + 0.0744651i
\(481\) 2.73075 + 41.0170i 0.124511 + 1.87021i
\(482\) 0.966735i 0.0440336i
\(483\) 1.16410 + 2.10025i 0.0529683 + 0.0955648i
\(484\) 4.58858 7.94766i 0.208572 0.361257i
\(485\) 29.4776i 1.33851i
\(486\) 0.258819 0.965926i 0.0117403 0.0438153i
\(487\) −4.15962 15.5239i −0.188490 0.703456i −0.993856 0.110678i \(-0.964698\pi\)
0.805366 0.592778i \(-0.201969\pi\)
\(488\) −0.516817 + 0.516817i −0.0233952 + 0.0233952i
\(489\) −10.9762 + 10.9762i −0.496360 + 0.496360i
\(490\) −22.8263 0.798638i −1.03119 0.0360788i
\(491\) 6.53085 + 3.77059i 0.294733 + 0.170164i 0.640074 0.768313i \(-0.278904\pi\)
−0.345341 + 0.938477i \(0.612237\pi\)
\(492\) −0.687631 + 2.56627i −0.0310008 + 0.115697i
\(493\) −10.3946 18.0040i −0.468150 0.810860i
\(494\) 12.5472 + 10.9808i 0.564525 + 0.494050i
\(495\) −3.81512 2.20266i −0.171477 0.0990021i
\(496\) 1.85216 0.496285i 0.0831644 0.0222838i
\(497\) 5.66056 + 1.62334i 0.253911 + 0.0728169i
\(498\) −3.03779 + 1.75387i −0.136126 + 0.0785926i
\(499\) −10.5818 39.4920i −0.473708 1.76790i −0.626267 0.779609i \(-0.715418\pi\)
0.152559 0.988294i \(-0.451249\pi\)
\(500\) −2.03760 + 0.545972i −0.0911240 + 0.0244166i
\(501\) 22.6820 6.07764i 1.01336 0.271529i
\(502\) −3.62384 13.5244i −0.161740 0.603622i
\(503\) 22.5080 12.9950i 1.00358 0.579419i 0.0942768 0.995546i \(-0.469946\pi\)
0.909307 + 0.416127i \(0.136613\pi\)
\(504\) 1.83783 + 1.90326i 0.0818634 + 0.0847777i
\(505\) 46.6455 12.4986i 2.07570 0.556181i
\(506\) −1.06121 0.612687i −0.0471763 0.0272373i
\(507\) −7.93509 10.2973i −0.352410 0.457319i
\(508\) 5.05587 + 8.75703i 0.224318 + 0.388530i
\(509\) −5.84240 + 21.8041i −0.258960 + 0.966451i 0.706885 + 0.707329i \(0.250100\pi\)
−0.965844 + 0.259122i \(0.916567\pi\)
\(510\) −6.65238 3.84075i −0.294572 0.170071i
\(511\) 16.3515 + 4.68930i 0.723346 + 0.207442i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 3.26997 3.26997i 0.144373 0.144373i
\(514\) −8.18856 30.5601i −0.361182 1.34795i
\(515\) −13.1298 + 49.0012i −0.578570 + 2.15925i
\(516\) 1.99755i 0.0879370i
\(517\) 4.91227 8.50830i 0.216041 0.374195i
\(518\) −15.5369 + 25.8558i −0.682653 + 1.13604i
\(519\) 8.06695i 0.354100i
\(520\) 11.5408 + 2.28329i 0.506100 + 0.100129i
\(521\) 38.5169 22.2377i 1.68746 0.974253i 0.730999 0.682378i \(-0.239054\pi\)
0.956457 0.291875i \(-0.0942791\pi\)
\(522\) 6.24425 6.24425i 0.273304 0.273304i
\(523\) 14.5874 8.42202i 0.637861 0.368269i −0.145929 0.989295i \(-0.546617\pi\)
0.783790 + 0.621026i \(0.213284\pi\)
\(524\) 8.34878 + 14.4605i 0.364718 + 0.631710i
\(525\) 7.24225 + 13.0664i 0.316078 + 0.570264i
\(526\) 11.7755 + 3.15523i 0.513435 + 0.137574i
\(527\) 3.19200 + 3.19200i 0.139046 + 0.139046i
\(528\) −1.30412 0.349438i −0.0567545 0.0152073i
\(529\) −11.0881 + 19.2052i −0.482093 + 0.835009i
\(530\) −11.6263 20.1373i −0.505013 0.874708i
\(531\) 1.55838 + 5.81596i 0.0676280 + 0.252391i
\(532\) 2.95954 + 11.8718i 0.128313 + 0.514707i
\(533\) 7.95937 5.33012i 0.344759 0.230873i
\(534\) −2.30752 + 3.99675i −0.0998563 + 0.172956i
\(535\) 19.9143 + 19.9143i 0.860971 + 0.860971i
\(536\) 12.3482 0.533363
\(537\) 17.7297 0.765093
\(538\) −11.2895 11.2895i −0.486724 0.486724i
\(539\) −6.44502 6.91236i −0.277606 0.297736i
\(540\) 0.844500 3.15172i 0.0363415 0.135628i
\(541\) 19.0927 5.11588i 0.820860 0.219949i 0.176137 0.984366i \(-0.443640\pi\)
0.644722 + 0.764417i \(0.276973\pi\)
\(542\) 23.3935 + 13.5063i 1.00484 + 0.580143i
\(543\) 4.90151i 0.210344i
\(544\) −2.27398 0.609311i −0.0974961 0.0261240i
\(545\) 47.1964 2.02167
\(546\) −0.467160 9.52795i −0.0199926 0.407758i
\(547\) 14.9388 0.638737 0.319368 0.947631i \(-0.396529\pi\)
0.319368 + 0.947631i \(0.396529\pi\)
\(548\) 4.58235 + 1.22784i 0.195748 + 0.0524506i
\(549\) 0.730890i 0.0311936i
\(550\) −6.60213 3.81174i −0.281516 0.162533i
\(551\) 39.4456 10.5694i 1.68044 0.450272i
\(552\) 0.234905 0.876676i 0.00999820 0.0373138i
\(553\) 16.8568 28.0522i 0.716823 1.19290i
\(554\) −20.9222 20.9222i −0.888898 0.888898i
\(555\) 37.2011 1.57910
\(556\) −7.62720 −0.323465
\(557\) −13.4150 13.4150i −0.568411 0.568411i 0.363272 0.931683i \(-0.381659\pi\)
−0.931683 + 0.363272i \(0.881659\pi\)
\(558\) −0.958748 + 1.66060i −0.0405870 + 0.0702988i
\(559\) 4.74321 5.41982i 0.200616 0.229234i
\(560\) 5.99665 + 6.21013i 0.253405 + 0.262426i
\(561\) −0.822646 3.07016i −0.0347321 0.129622i
\(562\) −3.61515 6.26162i −0.152496 0.264130i
\(563\) 2.58062 4.46976i 0.108760 0.188378i −0.806508 0.591223i \(-0.798645\pi\)
0.915268 + 0.402845i \(0.131979\pi\)
\(564\) 7.02882 + 1.88337i 0.295967 + 0.0793040i
\(565\) −5.95128 5.95128i −0.250372 0.250372i
\(566\) −19.1172 5.12245i −0.803558 0.215313i
\(567\) −2.64535 0.0462630i −0.111094 0.00194286i
\(568\) −1.11287 1.92754i −0.0466948 0.0808777i
\(569\) 27.5895 15.9288i 1.15661 0.667771i 0.206123 0.978526i \(-0.433915\pi\)
0.950490 + 0.310755i \(0.100582\pi\)
\(570\) 10.6696 10.6696i 0.446899 0.446899i
\(571\) 28.2961 16.3367i 1.18415 0.683672i 0.227182 0.973852i \(-0.427049\pi\)
0.956972 + 0.290181i \(0.0937154\pi\)
\(572\) 2.70864 + 4.04476i 0.113254 + 0.169120i
\(573\) 1.73630i 0.0725350i
\(574\) 7.02816 + 0.122912i 0.293350 + 0.00513023i
\(575\) 2.56239 4.43818i 0.106859 0.185085i
\(576\) 1.00000i 0.0416667i
\(577\) −7.85175 + 29.3031i −0.326873 + 1.21991i 0.585543 + 0.810641i \(0.300881\pi\)
−0.912416 + 0.409264i \(0.865785\pi\)
\(578\) 2.96548 + 11.0673i 0.123348 + 0.460341i
\(579\) −14.7628 + 14.7628i −0.613523 + 0.613523i
\(580\) 20.3744 20.3744i 0.845999 0.845999i
\(581\) 6.44662 + 6.67611i 0.267451 + 0.276972i
\(582\) 7.82382 + 4.51708i 0.324308 + 0.187239i
\(583\) 2.49022 9.29361i 0.103134 0.384902i
\(584\) −3.21470 5.56802i −0.133025 0.230406i
\(585\) −9.77514 + 6.54608i −0.404152 + 0.270647i
\(586\) 11.2798 + 6.51239i 0.465964 + 0.269025i
\(587\) −6.73302 + 1.80411i −0.277902 + 0.0744635i −0.395078 0.918648i \(-0.629282\pi\)
0.117176 + 0.993111i \(0.462616\pi\)
\(588\) 3.70983 5.93609i 0.152991 0.244800i
\(589\) −7.67934 + 4.43367i −0.316422 + 0.182686i
\(590\) 5.08484 + 18.9769i 0.209340 + 0.781266i
\(591\) 3.11491 0.834638i 0.128130 0.0343324i
\(592\) 11.0128 2.95086i 0.452622 0.121280i
\(593\) 6.58817 + 24.5874i 0.270544 + 1.00968i 0.958769 + 0.284186i \(0.0917232\pi\)
−0.688226 + 0.725497i \(0.741610\pi\)
\(594\) 1.16924 0.675062i 0.0479746 0.0276981i
\(595\) −5.60253 + 19.5359i −0.229681 + 0.800893i
\(596\) −14.7871 + 3.96219i −0.605704 + 0.162298i
\(597\) −2.84688 1.64365i −0.116515 0.0672700i
\(598\) −2.71903 + 1.82085i −0.111190 + 0.0744599i
\(599\) −6.75437 11.6989i −0.275976 0.478004i 0.694405 0.719584i \(-0.255668\pi\)
−0.970381 + 0.241580i \(0.922334\pi\)
\(600\) 1.46142 5.45410i 0.0596623 0.222663i
\(601\) 36.4625 + 21.0516i 1.48734 + 0.858714i 0.999896 0.0144430i \(-0.00459751\pi\)
0.487440 + 0.873157i \(0.337931\pi\)
\(602\) 5.12806 1.27839i 0.209004 0.0521032i
\(603\) −8.73152 + 8.73152i −0.355575 + 0.355575i
\(604\) −16.2045 + 16.2045i −0.659352 + 0.659352i
\(605\) 7.75012 + 28.9238i 0.315087 + 1.17592i
\(606\) −3.83053 + 14.2957i −0.155605 + 0.580724i
\(607\) 22.9576i 0.931820i −0.884832 0.465910i \(-0.845727\pi\)
0.884832 0.465910i \(-0.154273\pi\)
\(608\) 2.31222 4.00488i 0.0937728 0.162419i
\(609\) −20.0263 12.0339i −0.811508 0.487640i
\(610\) 2.38482i 0.0965585i
\(611\) −14.5988 21.8001i −0.590604 0.881936i
\(612\) 2.03880 1.17710i 0.0824134 0.0475814i
\(613\) 4.96217 4.96217i 0.200420 0.200420i −0.599760 0.800180i \(-0.704737\pi\)
0.800180 + 0.599760i \(0.204737\pi\)
\(614\) 16.3741 9.45361i 0.660806 0.381517i
\(615\) −4.33444 7.50747i −0.174781 0.302730i
\(616\) −0.0624608 + 3.57155i −0.00251662 + 0.143902i
\(617\) −11.9872 3.21195i −0.482585 0.129308i 0.00932104 0.999957i \(-0.497033\pi\)
−0.491906 + 0.870648i \(0.663700\pi\)
\(618\) −10.9937 10.9937i −0.442232 0.442232i
\(619\) −4.03018 1.07988i −0.161987 0.0434042i 0.176914 0.984226i \(-0.443388\pi\)
−0.338901 + 0.940822i \(0.610055\pi\)
\(620\) −3.12830 + 5.41837i −0.125635 + 0.217607i
\(621\) 0.453801 + 0.786006i 0.0182104 + 0.0315413i
\(622\) −6.90930 25.7858i −0.277038 1.03392i
\(623\) 11.7371 + 3.36600i 0.470239 + 0.134856i
\(624\) −2.37452 + 2.71324i −0.0950568 + 0.108617i
\(625\) −10.6748 + 18.4892i −0.426990 + 0.739569i
\(626\) 14.4616 + 14.4616i 0.578002 + 0.578002i
\(627\) 6.24356 0.249344
\(628\) −4.52718 −0.180654
\(629\) 18.9793 + 18.9793i 0.756755 + 0.756755i
\(630\) −8.63150 0.150951i −0.343887 0.00601405i
\(631\) 10.4658 39.0589i 0.416637 1.55491i −0.364897 0.931048i \(-0.618896\pi\)
0.781534 0.623862i \(-0.214437\pi\)
\(632\) −11.9483 + 3.20153i −0.475277 + 0.127350i
\(633\) 20.0012 + 11.5477i 0.794977 + 0.458980i
\(634\) 18.5477i 0.736625i
\(635\) −31.8694 8.53937i −1.26470 0.338875i
\(636\) 7.12635 0.282578
\(637\) −24.1610 + 7.29697i −0.957294 + 0.289117i
\(638\) 11.9226 0.472018
\(639\) 2.14989 + 0.576061i 0.0850484 + 0.0227886i
\(640\) 3.26290i 0.128977i
\(641\) −4.89745 2.82754i −0.193438 0.111681i 0.400153 0.916448i \(-0.368957\pi\)
−0.593591 + 0.804767i \(0.702290\pi\)
\(642\) −8.33721 + 2.23395i −0.329043 + 0.0881669i
\(643\) −6.61282 + 24.6794i −0.260784 + 0.973259i 0.703997 + 0.710203i \(0.251397\pi\)
−0.964781 + 0.263056i \(0.915270\pi\)
\(644\) −2.40092 0.0419884i −0.0946095 0.00165457i
\(645\) −4.60877 4.60877i −0.181470 0.181470i
\(646\) 10.8868 0.428337
\(647\) 21.9265 0.862018 0.431009 0.902348i \(-0.358158\pi\)
0.431009 + 0.902348i \(0.358158\pi\)
\(648\) 0.707107 + 0.707107i 0.0277778 + 0.0277778i
\(649\) −4.06463 + 7.04015i −0.159551 + 0.276350i
\(650\) −16.9161 + 11.3281i −0.663502 + 0.444325i
\(651\) 4.87664 + 1.39853i 0.191131 + 0.0548128i
\(652\) −4.01756 14.9937i −0.157340 0.587201i
\(653\) −19.8235 34.3354i −0.775754 1.34365i −0.934369 0.356306i \(-0.884036\pi\)
0.158615 0.987341i \(-0.449297\pi\)
\(654\) −7.23229 + 12.5267i −0.282805 + 0.489832i
\(655\) −52.6260 14.1011i −2.05627 0.550975i
\(656\) −1.87864 1.87864i −0.0733487 0.0733487i
\(657\) 6.21032 + 1.66405i 0.242288 + 0.0649208i
\(658\) 0.336645 19.2496i 0.0131238 0.750427i
\(659\) −10.7732 18.6598i −0.419666 0.726883i 0.576240 0.817281i \(-0.304520\pi\)
−0.995906 + 0.0903977i \(0.971186\pi\)
\(660\) 3.81512 2.20266i 0.148503 0.0857384i
\(661\) −18.8289 + 18.8289i −0.732360 + 0.732360i −0.971087 0.238727i \(-0.923270\pi\)
0.238727 + 0.971087i \(0.423270\pi\)
\(662\) 5.06611 2.92492i 0.196900 0.113680i
\(663\) −8.32678 1.64740i −0.323385 0.0639798i
\(664\) 3.50773i 0.136126i
\(665\) −34.2191 20.5624i −1.32696 0.797377i
\(666\) −5.70063 + 9.87378i −0.220895 + 0.382601i
\(667\) 8.01476i 0.310333i
\(668\) −6.07764 + 22.6820i −0.235151 + 0.877595i
\(669\) 2.82498 + 10.5430i 0.109220 + 0.407614i
\(670\) −28.4901 + 28.4901i −1.10067 + 1.10067i
\(671\) 0.697767 0.697767i 0.0269370 0.0269370i
\(672\) −2.56718 + 0.639979i −0.0990312 + 0.0246877i
\(673\) −11.5158 6.64864i −0.443901 0.256286i 0.261350 0.965244i \(-0.415832\pi\)
−0.705251 + 0.708958i \(0.749166\pi\)
\(674\) −1.18749 + 4.43176i −0.0457402 + 0.170705i
\(675\) 2.82325 + 4.89002i 0.108667 + 0.188217i
\(676\) 12.8853 1.72334i 0.495587 0.0662822i
\(677\) −5.69857 3.29007i −0.219014 0.126448i 0.386480 0.922298i \(-0.373691\pi\)
−0.605494 + 0.795850i \(0.707024\pi\)
\(678\) 2.49153 0.667603i 0.0956866 0.0256391i
\(679\) 6.58909 22.9760i 0.252866 0.881738i
\(680\) 6.65238 3.84075i 0.255107 0.147286i
\(681\) −2.86377 10.6877i −0.109740 0.409555i
\(682\) −2.50065 + 0.670046i −0.0957547 + 0.0256574i
\(683\) −26.4973 + 7.09993i −1.01389 + 0.271671i −0.727254 0.686368i \(-0.759204\pi\)
−0.286637 + 0.958039i \(0.592537\pi\)
\(684\) 1.19689 + 4.46686i 0.0457643 + 0.170795i
\(685\) −13.4054 + 7.73959i −0.512193 + 0.295715i
\(686\) −17.6132 5.72484i −0.672477 0.218575i
\(687\) 2.45543 0.657930i 0.0936805 0.0251016i
\(688\) −1.72993 0.998773i −0.0659528 0.0380779i
\(689\) −19.3355 16.9216i −0.736623 0.644663i
\(690\) 1.48071 + 2.56466i 0.0563695 + 0.0976348i
\(691\) −5.80273 + 21.6561i −0.220746 + 0.823836i 0.763318 + 0.646023i \(0.223569\pi\)
−0.984064 + 0.177813i \(0.943098\pi\)
\(692\) −6.98619 4.03348i −0.265575 0.153330i
\(693\) −2.48130 2.56963i −0.0942567 0.0976122i
\(694\) 20.3378 20.3378i 0.772011 0.772011i
\(695\) 17.5976 17.5976i 0.667515 0.667515i
\(696\) 2.28556 + 8.52981i 0.0866338 + 0.323322i
\(697\) 1.61882 6.04152i 0.0613172 0.228839i
\(698\) 16.9845i 0.642872i
\(699\) −13.1329 + 22.7469i −0.496732 + 0.860365i
\(700\) −14.9370 0.261224i −0.564564 0.00987335i
\(701\) 0.0631558i 0.00238536i −0.999999 0.00119268i \(-0.999620\pi\)
0.999999 0.00119268i \(-0.000379642\pi\)
\(702\) −0.239513 3.59759i −0.00903984 0.135782i
\(703\) −45.6606 + 26.3622i −1.72212 + 0.994269i
\(704\) 0.954682 0.954682i 0.0359809 0.0359809i
\(705\) −20.5623 + 11.8717i −0.774423 + 0.447113i
\(706\) 14.4133 + 24.9645i 0.542451 + 0.939552i
\(707\) 39.1512 + 0.684694i 1.47243 + 0.0257506i
\(708\) −5.81596 1.55838i −0.218577 0.0585676i
\(709\) −4.89726 4.89726i −0.183920 0.183920i 0.609141 0.793062i \(-0.291514\pi\)
−0.793062 + 0.609141i \(0.791514\pi\)
\(710\) 7.01487 + 1.87963i 0.263263 + 0.0705412i
\(711\) 6.18489 10.7125i 0.231951 0.401752i
\(712\) −2.30752 3.99675i −0.0864781 0.149784i
\(713\) −0.450429 1.68102i −0.0168687 0.0629548i
\(714\) −4.32661 4.48064i −0.161919 0.167684i
\(715\) −15.5816 3.08272i −0.582718 0.115287i
\(716\) −8.86485 + 15.3544i −0.331295 + 0.573820i
\(717\) 9.09071 + 9.09071i 0.339499 + 0.339499i
\(718\) −26.7713 −0.999094
\(719\) 10.3766 0.386983 0.193491 0.981102i \(-0.438019\pi\)
0.193491 + 0.981102i \(0.438019\pi\)
\(720\) 2.30722 + 2.30722i 0.0859849 + 0.0859849i
\(721\) −21.1871 + 35.2586i −0.789050 + 1.31310i
\(722\) −0.617388 + 2.30412i −0.0229768 + 0.0857506i
\(723\) −0.933794 + 0.250209i −0.0347282 + 0.00930539i
\(724\) 4.24484 + 2.45076i 0.157758 + 0.0910817i
\(725\) 49.8626i 1.85185i
\(726\) −8.86446 2.37522i −0.328991 0.0881529i
\(727\) 50.1687 1.86065 0.930327 0.366730i \(-0.119523\pi\)
0.930327 + 0.366730i \(0.119523\pi\)
\(728\) 8.48502 + 4.35940i 0.314476 + 0.161570i
\(729\) −1.00000 −0.0370370
\(730\) 20.2636 + 5.42963i 0.749991 + 0.200959i
\(731\) 4.70262i 0.173933i
\(732\) 0.632969 + 0.365445i 0.0233952 + 0.0135072i
\(733\) −13.8923 + 3.72244i −0.513125 + 0.137491i −0.506085 0.862484i \(-0.668908\pi\)
−0.00704017 + 0.999975i \(0.502241\pi\)
\(734\) −2.98507 + 11.1404i −0.110181 + 0.411201i
\(735\) 5.13646 + 22.2552i 0.189461 + 0.820897i
\(736\) 0.641771 + 0.641771i 0.0236560 + 0.0236560i
\(737\) −16.6717 −0.614108
\(738\) 2.65680 0.0977982
\(739\) −24.4423 24.4423i −0.899126 0.899126i 0.0962327 0.995359i \(-0.469321\pi\)
−0.995359 + 0.0962327i \(0.969321\pi\)
\(740\) −18.6006 + 32.2171i −0.683770 + 1.18432i
\(741\) 7.35918 14.9617i 0.270346 0.549632i
\(742\) −4.56072 18.2946i −0.167429 0.671617i
\(743\) −0.470553 1.75613i −0.0172629 0.0644261i 0.956757 0.290888i \(-0.0939507\pi\)
−0.974020 + 0.226462i \(0.927284\pi\)
\(744\) −0.958748 1.66060i −0.0351494 0.0608806i
\(745\) 24.9754 43.2587i 0.915029 1.58488i
\(746\) −6.20777 1.66337i −0.227283 0.0609002i
\(747\) 2.48034 + 2.48034i 0.0907509 + 0.0907509i
\(748\) 3.07016 + 0.822646i 0.112256 + 0.0300789i
\(749\) 11.0706 + 19.9735i 0.404511 + 0.729814i
\(750\) 1.05474 + 1.82686i 0.0385135 + 0.0667074i
\(751\) −19.0010 + 10.9702i −0.693357 + 0.400310i −0.804869 0.593453i \(-0.797764\pi\)
0.111511 + 0.993763i \(0.464431\pi\)
\(752\) −5.14545 + 5.14545i −0.187635 + 0.187635i
\(753\) −12.1256 + 7.00072i −0.441882 + 0.255121i
\(754\) 14.0529 28.5705i 0.511777 1.04048i
\(755\) 74.7747i 2.72133i
\(756\) 1.36274 2.26781i 0.0495623 0.0824793i
\(757\) 3.21431 5.56735i 0.116826 0.202349i −0.801682 0.597751i \(-0.796061\pi\)
0.918508 + 0.395402i \(0.129395\pi\)
\(758\) 19.2793i 0.700256i
\(759\) −0.317150 + 1.18362i −0.0115118 + 0.0429627i
\(760\) 3.90534 + 14.5749i 0.141661 + 0.528688i
\(761\) 1.13229 1.13229i 0.0410455 0.0410455i −0.686286 0.727332i \(-0.740760\pi\)
0.727332 + 0.686286i \(0.240760\pi\)
\(762\) 7.15008 7.15008i 0.259020 0.259020i
\(763\) 36.7868 + 10.5498i 1.33177 + 0.381928i
\(764\) 1.50368 + 0.868151i 0.0544013 + 0.0314086i
\(765\) −1.98812 + 7.41977i −0.0718806 + 0.268262i
\(766\) −5.42345 9.39369i −0.195957 0.339408i
\(767\) 12.0797 + 18.0384i 0.436172 + 0.651328i
\(768\) 0.866025 + 0.500000i 0.0312500 + 0.0180422i
\(769\) −25.2697 + 6.77100i −0.911249 + 0.244168i −0.683841 0.729631i \(-0.739692\pi\)
−0.227408 + 0.973800i \(0.573025\pi\)
\(770\) −8.09622 8.38444i −0.291768 0.302154i
\(771\) −27.3994 + 15.8191i −0.986767 + 0.569710i
\(772\) −5.40357 20.1664i −0.194479 0.725805i
\(773\) 0.0523937 0.0140389i 0.00188447 0.000504943i −0.257877 0.966178i \(-0.583023\pi\)
0.259761 + 0.965673i \(0.416356\pi\)