Properties

Label 483.2.bf.a.10.13
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.13
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.184479 + 0.533017i) q^{2} +(0.458227 + 0.888835i) q^{3} +(1.32203 + 1.03966i) q^{4} +(-3.44259 + 0.328727i) q^{5} +(-0.558297 + 0.0802710i) q^{6} +(0.528452 + 2.59244i) q^{7} +(-1.74704 + 1.12275i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.184479 + 0.533017i) q^{2} +(0.458227 + 0.888835i) q^{3} +(1.32203 + 1.03966i) q^{4} +(-3.44259 + 0.328727i) q^{5} +(-0.558297 + 0.0802710i) q^{6} +(0.528452 + 2.59244i) q^{7} +(-1.74704 + 1.12275i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(0.459867 - 1.89560i) q^{10} +(5.80379 - 2.00871i) q^{11} +(-0.318294 + 1.65147i) q^{12} +(0.265747 + 0.905052i) q^{13} +(-1.47930 - 0.196576i) q^{14} +(-1.86967 - 2.90926i) q^{15} +(0.516872 + 2.13058i) q^{16} +(-4.09292 - 1.63856i) q^{17} +(-0.327174 - 0.459452i) q^{18} +(-6.84888 + 2.74188i) q^{19} +(-4.89297 - 3.14452i) q^{20} +(-2.06210 + 1.65763i) q^{21} +3.46408i q^{22} +(-4.73076 - 0.787324i) q^{23} +(-1.79848 - 1.03836i) q^{24} +(6.83369 - 1.31709i) q^{25} +(-0.531433 - 0.0253153i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(-1.99662 + 3.97670i) q^{28} +(0.356624 + 2.48037i) q^{29} +(1.89560 - 0.459867i) q^{30} +(2.41284 - 0.114938i) q^{31} +(-5.36560 - 0.512353i) q^{32} +(4.44486 + 4.23817i) q^{33} +(1.62843 - 1.87931i) q^{34} +(-2.67145 - 8.75098i) q^{35} +(-1.61373 + 0.473835i) q^{36} +(0.895973 + 0.638020i) q^{37} +(-0.197993 - 4.15639i) q^{38} +(-0.682670 + 0.650925i) q^{39} +(5.64526 - 4.43948i) q^{40} +(10.5595 + 4.82236i) q^{41} +(-0.503131 - 1.40493i) q^{42} +(3.24916 - 5.05579i) q^{43} +(9.76117 + 3.37837i) q^{44} +(1.72912 - 2.99493i) q^{45} +(1.29238 - 2.37633i) q^{46} +(-1.88810 + 1.09009i) q^{47} +(-1.65689 + 1.43570i) q^{48} +(-6.44148 + 2.73996i) q^{49} +(-0.558643 + 3.88545i) q^{50} +(-0.419076 - 4.38876i) q^{51} +(-0.589618 + 1.47279i) q^{52} +(2.12580 + 2.22947i) q^{53} +(0.258457 - 0.501337i) q^{54} +(-19.3197 + 8.82302i) q^{55} +(-3.83390 - 3.93577i) q^{56} +(-5.57542 - 4.83113i) q^{57} +(-1.38787 - 0.267490i) q^{58} +(2.61333 + 0.633988i) q^{59} +(0.552873 - 5.78995i) q^{60} +(11.5107 + 5.93418i) q^{61} +(-0.383854 + 1.30729i) q^{62} +(-2.41827 - 1.07330i) q^{63} +(-0.558559 + 1.22307i) q^{64} +(-1.21237 - 3.02836i) q^{65} +(-3.07900 + 1.58733i) q^{66} +(-0.222342 - 1.15362i) q^{67} +(-3.70743 - 6.42145i) q^{68} +(-1.46796 - 4.56564i) q^{69} +(5.15724 + 0.190445i) q^{70} +(7.63456 + 8.81075i) q^{71} +(0.0988139 - 2.07436i) q^{72} +(5.82250 - 7.40391i) q^{73} +(-0.505363 + 0.359868i) q^{74} +(4.30205 + 5.47050i) q^{75} +(-11.9051 - 3.49564i) q^{76} +(8.27449 + 13.9845i) q^{77} +(-0.221016 - 0.483956i) q^{78} +(1.86238 - 1.95320i) q^{79} +(-2.47976 - 7.16478i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-4.51841 + 4.73877i) q^{82} +(-1.13574 - 2.48692i) q^{83} +(-4.44953 + 0.0475630i) q^{84} +(14.6289 + 4.29542i) q^{85} +(2.09542 + 2.66454i) q^{86} +(-2.04123 + 1.45355i) q^{87} +(-7.88417 + 10.0255i) q^{88} +(0.0431414 - 0.905649i) q^{89} +(1.27736 + 1.47415i) q^{90} +(-2.20586 + 1.16721i) q^{91} +(-5.43567 - 5.95924i) q^{92} +(1.20779 + 2.09195i) q^{93} +(-0.232724 - 1.20749i) q^{94} +(22.6765 - 11.6906i) q^{95} +(-2.00326 - 5.00391i) q^{96} +(3.81611 - 8.35611i) q^{97} +(-0.272128 - 3.93888i) q^{98} +(-1.73028 + 5.89279i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.184479 + 0.533017i −0.130446 + 0.376900i −0.991243 0.132049i \(-0.957844\pi\)
0.860797 + 0.508949i \(0.169966\pi\)
\(3\) 0.458227 + 0.888835i 0.264557 + 0.513169i
\(4\) 1.32203 + 1.03966i 0.661016 + 0.519829i
\(5\) −3.44259 + 0.328727i −1.53957 + 0.147011i −0.830056 0.557679i \(-0.811692\pi\)
−0.709515 + 0.704691i \(0.751086\pi\)
\(6\) −0.558297 + 0.0802710i −0.227924 + 0.0327705i
\(7\) 0.528452 + 2.59244i 0.199736 + 0.979850i
\(8\) −1.74704 + 1.12275i −0.617672 + 0.396954i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) 0.459867 1.89560i 0.145423 0.599441i
\(11\) 5.80379 2.00871i 1.74991 0.605649i 0.751380 0.659870i \(-0.229389\pi\)
0.998529 + 0.0542211i \(0.0172676\pi\)
\(12\) −0.318294 + 1.65147i −0.0918836 + 0.476738i
\(13\) 0.265747 + 0.905052i 0.0737050 + 0.251016i 0.988101 0.153804i \(-0.0491523\pi\)
−0.914396 + 0.404820i \(0.867334\pi\)
\(14\) −1.47930 0.196576i −0.395360 0.0525373i
\(15\) −1.86967 2.90926i −0.482746 0.751168i
\(16\) 0.516872 + 2.13058i 0.129218 + 0.532644i
\(17\) −4.09292 1.63856i −0.992678 0.397408i −0.182254 0.983252i \(-0.558339\pi\)
−0.810424 + 0.585843i \(0.800763\pi\)
\(18\) −0.327174 0.459452i −0.0771157 0.108294i
\(19\) −6.84888 + 2.74188i −1.57124 + 0.629030i −0.983644 0.180124i \(-0.942350\pi\)
−0.587597 + 0.809154i \(0.699926\pi\)
\(20\) −4.89297 3.14452i −1.09410 0.703136i
\(21\) −2.06210 + 1.65763i −0.449987 + 0.361725i
\(22\) 3.46408i 0.738545i
\(23\) −4.73076 0.787324i −0.986432 0.164168i
\(24\) −1.79848 1.03836i −0.367114 0.211953i
\(25\) 6.83369 1.31709i 1.36674 0.263417i
\(26\) −0.531433 0.0253153i −0.104223 0.00496473i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) −1.99662 + 3.97670i −0.377325 + 0.751525i
\(29\) 0.356624 + 2.48037i 0.0662234 + 0.460594i 0.995769 + 0.0918876i \(0.0292900\pi\)
−0.929546 + 0.368706i \(0.879801\pi\)
\(30\) 1.89560 0.459867i 0.346088 0.0839599i
\(31\) 2.41284 0.114938i 0.433358 0.0206434i 0.170230 0.985404i \(-0.445549\pi\)
0.263128 + 0.964761i \(0.415246\pi\)
\(32\) −5.36560 0.512353i −0.948513 0.0905720i
\(33\) 4.44486 + 4.23817i 0.773752 + 0.737771i
\(34\) 1.62843 1.87931i 0.279274 0.322300i
\(35\) −2.67145 8.75098i −0.451557 1.47918i
\(36\) −1.61373 + 0.473835i −0.268956 + 0.0789725i
\(37\) 0.895973 + 0.638020i 0.147297 + 0.104890i 0.651330 0.758795i \(-0.274211\pi\)
−0.504033 + 0.863685i \(0.668151\pi\)
\(38\) −0.197993 4.15639i −0.0321187 0.674255i
\(39\) −0.682670 + 0.650925i −0.109315 + 0.104231i
\(40\) 5.64526 4.43948i 0.892593 0.701943i
\(41\) 10.5595 + 4.82236i 1.64912 + 0.753127i 0.999972 0.00753772i \(-0.00239935\pi\)
0.649146 + 0.760664i \(0.275127\pi\)
\(42\) −0.503131 1.40493i −0.0776348 0.216786i
\(43\) 3.24916 5.05579i 0.495492 0.771001i −0.499982 0.866036i \(-0.666660\pi\)
0.995474 + 0.0950350i \(0.0302963\pi\)
\(44\) 9.76117 + 3.37837i 1.47155 + 0.509309i
\(45\) 1.72912 2.99493i 0.257762 0.446458i
\(46\) 1.29238 2.37633i 0.190551 0.350371i
\(47\) −1.88810 + 1.09009i −0.275407 + 0.159006i −0.631342 0.775504i \(-0.717496\pi\)
0.355935 + 0.934511i \(0.384162\pi\)
\(48\) −1.65689 + 1.43570i −0.239151 + 0.207226i
\(49\) −6.44148 + 2.73996i −0.920211 + 0.391423i
\(50\) −0.558643 + 3.88545i −0.0790040 + 0.549485i
\(51\) −0.419076 4.38876i −0.0586823 0.614549i
\(52\) −0.589618 + 1.47279i −0.0817653 + 0.204240i
\(53\) 2.12580 + 2.22947i 0.292001 + 0.306242i 0.853351 0.521337i \(-0.174566\pi\)
−0.561350 + 0.827578i \(0.689718\pi\)
\(54\) 0.258457 0.501337i 0.0351716 0.0682234i
\(55\) −19.3197 + 8.82302i −2.60507 + 1.18970i
\(56\) −3.83390 3.93577i −0.512326 0.525940i
\(57\) −5.57542 4.83113i −0.738482 0.639898i
\(58\) −1.38787 0.267490i −0.182236 0.0351232i
\(59\) 2.61333 + 0.633988i 0.340227 + 0.0825382i 0.402232 0.915538i \(-0.368234\pi\)
−0.0620053 + 0.998076i \(0.519750\pi\)
\(60\) 0.552873 5.78995i 0.0713756 0.747479i
\(61\) 11.5107 + 5.93418i 1.47379 + 0.759793i 0.993119 0.117106i \(-0.0373617\pi\)
0.480674 + 0.876899i \(0.340392\pi\)
\(62\) −0.383854 + 1.30729i −0.0487495 + 0.166025i
\(63\) −2.41827 1.07330i −0.304673 0.135223i
\(64\) −0.558559 + 1.22307i −0.0698199 + 0.152884i
\(65\) −1.21237 3.02836i −0.150376 0.375622i
\(66\) −3.07900 + 1.58733i −0.378999 + 0.195387i
\(67\) −0.222342 1.15362i −0.0271635 0.140937i 0.965815 0.259232i \(-0.0834694\pi\)
−0.992979 + 0.118295i \(0.962257\pi\)
\(68\) −3.70743 6.42145i −0.449592 0.778716i
\(69\) −1.46796 4.56564i −0.176722 0.549639i
\(70\) 5.15724 + 0.190445i 0.616408 + 0.0227625i
\(71\) 7.63456 + 8.81075i 0.906056 + 1.04564i 0.998752 + 0.0499497i \(0.0159061\pi\)
−0.0926959 + 0.995694i \(0.529548\pi\)
\(72\) 0.0988139 2.07436i 0.0116453 0.244466i
\(73\) 5.82250 7.40391i 0.681472 0.866562i −0.315120 0.949052i \(-0.602045\pi\)
0.996592 + 0.0824901i \(0.0262873\pi\)
\(74\) −0.505363 + 0.359868i −0.0587473 + 0.0418338i
\(75\) 4.30205 + 5.47050i 0.496758 + 0.631679i
\(76\) −11.9051 3.49564i −1.36560 0.400977i
\(77\) 8.27449 + 13.9845i 0.942965 + 1.59368i
\(78\) −0.221016 0.483956i −0.0250251 0.0547973i
\(79\) 1.86238 1.95320i 0.209534 0.219753i −0.610578 0.791956i \(-0.709063\pi\)
0.820112 + 0.572204i \(0.193911\pi\)
\(80\) −2.47976 7.16478i −0.277245 0.801047i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) −4.51841 + 4.73877i −0.498974 + 0.523309i
\(83\) −1.13574 2.48692i −0.124663 0.272974i 0.837002 0.547199i \(-0.184306\pi\)
−0.961666 + 0.274225i \(0.911579\pi\)
\(84\) −4.44953 + 0.0475630i −0.485484 + 0.00518955i
\(85\) 14.6289 + 4.29542i 1.58672 + 0.465904i
\(86\) 2.09542 + 2.66454i 0.225955 + 0.287325i
\(87\) −2.04123 + 1.45355i −0.218843 + 0.155837i
\(88\) −7.88417 + 10.0255i −0.840455 + 1.06873i
\(89\) 0.0431414 0.905649i 0.00457298 0.0959987i −0.995427 0.0955263i \(-0.969547\pi\)
1.00000 0.000472379i \(-0.000150363\pi\)
\(90\) 1.27736 + 1.47415i 0.134646 + 0.155389i
\(91\) −2.20586 + 1.16721i −0.231237 + 0.122357i
\(92\) −5.43567 5.95924i −0.566708 0.621294i
\(93\) 1.20779 + 2.09195i 0.125242 + 0.216925i
\(94\) −0.232724 1.20749i −0.0240036 0.124543i
\(95\) 22.6765 11.6906i 2.32656 1.19943i
\(96\) −2.00326 5.00391i −0.204457 0.510709i
\(97\) 3.81611 8.35611i 0.387467 0.848435i −0.610922 0.791691i \(-0.709201\pi\)
0.998389 0.0567436i \(-0.0180718\pi\)
\(98\) −0.272128 3.93888i −0.0274890 0.397887i
\(99\) −1.73028 + 5.89279i −0.173900 + 0.592248i
\(100\) 10.4037 + 5.36347i 1.04037 + 0.536347i
\(101\) −1.51299 + 15.8448i −0.150549 + 1.57662i 0.532619 + 0.846355i \(0.321208\pi\)
−0.683168 + 0.730261i \(0.739398\pi\)
\(102\) 2.41659 + 0.586259i 0.239278 + 0.0580483i
\(103\) 9.30554 + 1.79350i 0.916902 + 0.176718i 0.625809 0.779976i \(-0.284769\pi\)
0.291093 + 0.956695i \(0.405981\pi\)
\(104\) −1.48042 1.28279i −0.145167 0.125788i
\(105\) 6.55405 6.38441i 0.639610 0.623054i
\(106\) −1.58051 + 0.721796i −0.153513 + 0.0701070i
\(107\) −0.0210072 + 0.0407483i −0.00203084 + 0.00393929i −0.889849 0.456256i \(-0.849190\pi\)
0.887818 + 0.460195i \(0.152221\pi\)
\(108\) −1.16062 1.21722i −0.111680 0.117127i
\(109\) −0.845717 + 2.11250i −0.0810050 + 0.202341i −0.963341 0.268279i \(-0.913545\pi\)
0.882336 + 0.470619i \(0.155969\pi\)
\(110\) −1.13874 11.9254i −0.108574 1.13704i
\(111\) −0.156536 + 1.08873i −0.0148577 + 0.103338i
\(112\) −5.25025 + 2.46587i −0.496102 + 0.233003i
\(113\) −13.9933 + 12.1253i −1.31638 + 1.14065i −0.336362 + 0.941733i \(0.609196\pi\)
−0.980017 + 0.198915i \(0.936258\pi\)
\(114\) 3.60362 2.08055i 0.337510 0.194861i
\(115\) 16.5449 + 1.15530i 1.54282 + 0.107732i
\(116\) −2.10727 + 3.64990i −0.195655 + 0.338885i
\(117\) −0.891382 0.308510i −0.0824083 0.0285218i
\(118\) −0.820031 + 1.27599i −0.0754900 + 0.117465i
\(119\) 2.08495 11.4765i 0.191127 1.05205i
\(120\) 6.53277 + 2.98342i 0.596358 + 0.272347i
\(121\) 21.0025 16.5165i 1.90932 1.50150i
\(122\) −5.28650 + 5.04066i −0.478617 + 0.456360i
\(123\) 0.552357 + 11.5954i 0.0498043 + 1.04552i
\(124\) 3.30934 + 2.35657i 0.297188 + 0.211626i
\(125\) −6.50180 + 1.90910i −0.581539 + 0.170755i
\(126\) 1.01821 1.09098i 0.0907090 0.0971920i
\(127\) 3.95571 4.56514i 0.351013 0.405090i −0.552596 0.833449i \(-0.686363\pi\)
0.903609 + 0.428359i \(0.140908\pi\)
\(128\) −8.35074 7.96241i −0.738108 0.703785i
\(129\) 5.98262 + 0.571271i 0.526740 + 0.0502976i
\(130\) 1.83782 0.0875464i 0.161188 0.00767833i
\(131\) 1.32943 0.322515i 0.116152 0.0281783i −0.177261 0.984164i \(-0.556724\pi\)
0.293414 + 0.955986i \(0.405209\pi\)
\(132\) 1.47001 + 10.2241i 0.127948 + 0.889896i
\(133\) −10.7275 16.3064i −0.930188 1.41394i
\(134\) 0.655918 + 0.0943067i 0.0566626 + 0.00814686i
\(135\) 3.45433 + 0.164550i 0.297301 + 0.0141622i
\(136\) 8.99019 1.73272i 0.770902 0.148579i
\(137\) −10.5774 6.10688i −0.903691 0.521746i −0.0252953 0.999680i \(-0.508053\pi\)
−0.878396 + 0.477934i \(0.841386\pi\)
\(138\) 2.70437 + 0.0598176i 0.230211 + 0.00509201i
\(139\) 7.59527i 0.644223i −0.946702 0.322111i \(-0.895607\pi\)
0.946702 0.322111i \(-0.104393\pi\)
\(140\) 5.56628 14.3465i 0.470436 1.21250i
\(141\) −1.83409 1.17870i −0.154458 0.0992642i
\(142\) −6.10470 + 2.44395i −0.512295 + 0.205092i
\(143\) 3.36033 + 4.71892i 0.281005 + 0.394616i
\(144\) −2.03533 0.814824i −0.169611 0.0679020i
\(145\) −2.04307 8.42167i −0.169668 0.699381i
\(146\) 2.87228 + 4.46935i 0.237711 + 0.369886i
\(147\) −5.38703 4.46989i −0.444315 0.368670i
\(148\) 0.521183 + 1.77499i 0.0428410 + 0.145903i
\(149\) 2.94871 15.2993i 0.241567 1.25337i −0.635159 0.772381i \(-0.719065\pi\)
0.876726 0.480989i \(-0.159722\pi\)
\(150\) −3.70951 + 1.28387i −0.302880 + 0.104828i
\(151\) −3.99595 + 16.4715i −0.325186 + 1.34044i 0.541130 + 0.840939i \(0.317997\pi\)
−0.866316 + 0.499496i \(0.833519\pi\)
\(152\) 8.88682 12.4798i 0.720816 1.01224i
\(153\) 3.70885 2.38354i 0.299843 0.192697i
\(154\) −8.98042 + 1.83060i −0.723663 + 0.147514i
\(155\) −8.26861 + 1.18885i −0.664151 + 0.0954905i
\(156\) −1.57925 + 0.150800i −0.126441 + 0.0120737i
\(157\) 4.10721 + 3.22995i 0.327791 + 0.257778i 0.768468 0.639888i \(-0.221019\pi\)
−0.440677 + 0.897666i \(0.645262\pi\)
\(158\) 0.697522 + 1.35300i 0.0554918 + 0.107639i
\(159\) −1.00754 + 2.91109i −0.0799030 + 0.230864i
\(160\) 18.6400 1.47362
\(161\) −0.458892 12.6803i −0.0361658 0.999346i
\(162\) 0.564038 0.0443150
\(163\) −3.31030 + 9.56449i −0.259283 + 0.749149i 0.737953 + 0.674852i \(0.235792\pi\)
−0.997236 + 0.0742969i \(0.976329\pi\)
\(164\) 8.94639 + 17.3536i 0.698596 + 1.35509i
\(165\) −16.6950 13.1291i −1.29971 1.02210i
\(166\) 1.53509 0.146583i 0.119146 0.0113770i
\(167\) 7.05178 1.01389i 0.545683 0.0784574i 0.136040 0.990703i \(-0.456562\pi\)
0.409643 + 0.912246i \(0.365653\pi\)
\(168\) 1.74146 5.21118i 0.134357 0.402051i
\(169\) 10.1878 6.54730i 0.783677 0.503638i
\(170\) −4.98825 + 7.00501i −0.382581 + 0.537260i
\(171\) 1.73927 7.16938i 0.133005 0.548256i
\(172\) 9.55178 3.30590i 0.728317 0.252073i
\(173\) −2.61786 + 13.5828i −0.199033 + 1.03268i 0.735695 + 0.677313i \(0.236856\pi\)
−0.934727 + 0.355366i \(0.884356\pi\)
\(174\) −0.398204 1.35616i −0.0301878 0.102810i
\(175\) 7.02574 + 17.0199i 0.531096 + 1.28658i
\(176\) 7.27953 + 11.3272i 0.548715 + 0.853818i
\(177\) 0.633988 + 2.61333i 0.0476534 + 0.196430i
\(178\) 0.474768 + 0.190068i 0.0355853 + 0.0142462i
\(179\) 2.73900 + 3.84638i 0.204722 + 0.287492i 0.904154 0.427208i \(-0.140503\pi\)
−0.699431 + 0.714700i \(0.746563\pi\)
\(180\) 5.39965 2.16170i 0.402466 0.161123i
\(181\) −11.3007 7.26251i −0.839973 0.539818i 0.0484592 0.998825i \(-0.484569\pi\)
−0.888433 + 0.459007i \(0.848205\pi\)
\(182\) −0.215208 1.39108i −0.0159523 0.103114i
\(183\) 12.9503i 0.957315i
\(184\) 9.14881 3.93600i 0.674459 0.290166i
\(185\) −3.29420 1.90191i −0.242194 0.139831i
\(186\) −1.33785 + 0.257850i −0.0980962 + 0.0189065i
\(187\) −27.0458 1.28835i −1.97779 0.0942135i
\(188\) −3.62945 0.521836i −0.264705 0.0380588i
\(189\) −0.154131 2.64126i −0.0112114 0.192123i
\(190\) 2.04793 + 14.2436i 0.148572 + 1.03334i
\(191\) −7.34780 + 1.78256i −0.531668 + 0.128981i −0.492601 0.870255i \(-0.663954\pi\)
−0.0390673 + 0.999237i \(0.512439\pi\)
\(192\) −1.34306 + 0.0639778i −0.0969269 + 0.00461720i
\(193\) 6.57588 + 0.627921i 0.473342 + 0.0451987i 0.329002 0.944329i \(-0.393288\pi\)
0.144341 + 0.989528i \(0.453894\pi\)
\(194\) 3.74996 + 3.57558i 0.269231 + 0.256711i
\(195\) 2.13617 2.46528i 0.152975 0.176542i
\(196\) −11.3645 3.07462i −0.811747 0.219615i
\(197\) 15.2779 4.48600i 1.08851 0.319615i 0.312230 0.950006i \(-0.398924\pi\)
0.776277 + 0.630392i \(0.217106\pi\)
\(198\) −2.82176 2.00936i −0.200534 0.142799i
\(199\) −0.00695538 0.146011i −0.000493054 0.0103505i 0.998607 0.0527565i \(-0.0168007\pi\)
−0.999100 + 0.0424060i \(0.986498\pi\)
\(200\) −10.4600 + 9.97356i −0.739632 + 0.705237i
\(201\) 0.923497 0.726246i 0.0651385 0.0512255i
\(202\) −8.16643 3.72948i −0.574588 0.262405i
\(203\) −6.24176 + 2.23528i −0.438085 + 0.156886i
\(204\) 4.00877 6.23777i 0.280670 0.436732i
\(205\) −37.9372 13.1302i −2.64965 0.917053i
\(206\) −2.67264 + 4.62915i −0.186212 + 0.322528i
\(207\) 3.38545 3.39687i 0.235305 0.236099i
\(208\) −1.79093 + 1.03399i −0.124178 + 0.0716944i
\(209\) −34.2418 + 29.6707i −2.36856 + 2.05237i
\(210\) 2.19391 + 4.67121i 0.151394 + 0.322344i
\(211\) −3.99462 + 27.7832i −0.275001 + 1.91267i 0.117777 + 0.993040i \(0.462423\pi\)
−0.392778 + 0.919633i \(0.628486\pi\)
\(212\) 0.492485 + 5.15754i 0.0338240 + 0.354221i
\(213\) −4.33295 + 10.8232i −0.296889 + 0.741593i
\(214\) −0.0178442 0.0187144i −0.00121980 0.00127929i
\(215\) −9.52354 + 18.4731i −0.649500 + 1.25985i
\(216\) 1.88904 0.862697i 0.128533 0.0586991i
\(217\) 1.57304 + 6.19439i 0.106785 + 0.420503i
\(218\) −0.969980 0.840492i −0.0656953 0.0569253i
\(219\) 9.24888 + 1.78257i 0.624981 + 0.120455i
\(220\) −34.7142 8.42158i −2.34043 0.567783i
\(221\) 0.395298 4.13975i 0.0265906 0.278469i
\(222\) −0.551434 0.284284i −0.0370098 0.0190799i
\(223\) 2.45361 8.35621i 0.164306 0.559573i −0.835641 0.549275i \(-0.814904\pi\)
0.999947 0.0102980i \(-0.00327803\pi\)
\(224\) −1.50722 14.1807i −0.100705 0.947491i
\(225\) −2.89106 + 6.33055i −0.192738 + 0.422036i
\(226\) −3.88150 9.69552i −0.258193 0.644936i
\(227\) 4.75863 2.45324i 0.315841 0.162827i −0.293015 0.956108i \(-0.594659\pi\)
0.608857 + 0.793280i \(0.291628\pi\)
\(228\) −2.34816 12.1834i −0.155511 0.806867i
\(229\) −0.354484 0.613984i −0.0234250 0.0405732i 0.854075 0.520149i \(-0.174124\pi\)
−0.877500 + 0.479576i \(0.840790\pi\)
\(230\) −3.66797 + 8.60557i −0.241859 + 0.567434i
\(231\) −8.63830 + 13.7627i −0.568358 + 0.905520i
\(232\) −3.40789 3.93291i −0.223739 0.258208i
\(233\) 0.944471 19.8269i 0.0618744 1.29890i −0.727976 0.685603i \(-0.759539\pi\)
0.789850 0.613300i \(-0.210158\pi\)
\(234\) 0.328882 0.418208i 0.0214997 0.0273391i
\(235\) 6.14159 4.37341i 0.400633 0.285290i
\(236\) 2.79578 + 3.55512i 0.181990 + 0.231419i
\(237\) 2.58947 + 0.760336i 0.168204 + 0.0493892i
\(238\) 5.73256 + 3.22849i 0.371586 + 0.209272i
\(239\) −5.81058 12.7234i −0.375855 0.823008i −0.999158 0.0410273i \(-0.986937\pi\)
0.623303 0.781980i \(-0.285790\pi\)
\(240\) 5.23202 5.48719i 0.337726 0.354196i
\(241\) −7.65021 22.1038i −0.492793 1.42383i −0.867848 0.496830i \(-0.834497\pi\)
0.375054 0.927003i \(-0.377624\pi\)
\(242\) 4.92907 + 14.2416i 0.316853 + 0.915486i
\(243\) 0.690079 0.723734i 0.0442686 0.0464276i
\(244\) 9.04800 + 19.8123i 0.579239 + 1.26836i
\(245\) 21.2746 11.5500i 1.35919 0.737904i
\(246\) −6.28244 1.84469i −0.400554 0.117613i
\(247\) −4.30161 5.46995i −0.273705 0.348044i
\(248\) −4.08628 + 2.90982i −0.259479 + 0.184774i
\(249\) 1.69003 2.14905i 0.107102 0.136191i
\(250\) 0.181862 3.81776i 0.0115020 0.241456i
\(251\) 1.58799 + 1.83263i 0.100233 + 0.115675i 0.803650 0.595103i \(-0.202889\pi\)
−0.703417 + 0.710778i \(0.748343\pi\)
\(252\) −2.08117 3.93311i −0.131101 0.247762i
\(253\) −29.0379 + 4.93327i −1.82559 + 0.310152i
\(254\) 1.70355 + 2.95063i 0.106890 + 0.185139i
\(255\) 2.88541 + 14.9709i 0.180691 + 0.937515i
\(256\) 3.39441 1.74994i 0.212151 0.109371i
\(257\) 2.27297 + 5.67760i 0.141784 + 0.354159i 0.982215 0.187759i \(-0.0601225\pi\)
−0.840431 + 0.541918i \(0.817698\pi\)
\(258\) −1.40816 + 3.08345i −0.0876684 + 0.191967i
\(259\) −1.18055 + 2.65992i −0.0733557 + 0.165279i
\(260\) 1.54566 5.26404i 0.0958579 0.326462i
\(261\) −2.22731 1.14826i −0.137867 0.0710755i
\(262\) −0.0733450 + 0.768103i −0.00453127 + 0.0474536i
\(263\) 8.23671 + 1.99820i 0.507897 + 0.123215i 0.481516 0.876437i \(-0.340086\pi\)
0.0263815 + 0.999652i \(0.491602\pi\)
\(264\) −12.5238 2.41376i −0.770786 0.148557i
\(265\) −8.05113 6.97635i −0.494577 0.428554i
\(266\) 10.6705 2.70974i 0.654253 0.166145i
\(267\) 0.824742 0.376647i 0.0504734 0.0230504i
\(268\) 0.905428 1.75629i 0.0553078 0.107282i
\(269\) −9.90091 10.3838i −0.603669 0.633110i 0.348999 0.937123i \(-0.386522\pi\)
−0.952668 + 0.304013i \(0.901673\pi\)
\(270\) −0.724959 + 1.81086i −0.0441196 + 0.110205i
\(271\) −2.29039 23.9860i −0.139131 1.45705i −0.747959 0.663745i \(-0.768966\pi\)
0.608827 0.793303i \(-0.291640\pi\)
\(272\) 1.37556 9.56720i 0.0834053 0.580097i
\(273\) −2.04824 1.42580i −0.123965 0.0862932i
\(274\) 5.20639 4.51136i 0.314529 0.272541i
\(275\) 37.0157 21.3710i 2.23213 1.28872i
\(276\) 2.80601 7.56210i 0.168902 0.455185i
\(277\) −10.4827 + 18.1565i −0.629842 + 1.09092i 0.357741 + 0.933821i \(0.383547\pi\)
−0.987583 + 0.157098i \(0.949786\pi\)
\(278\) 4.04841 + 1.40117i 0.242807 + 0.0840365i
\(279\) −1.30596 + 2.03211i −0.0781856 + 0.121659i
\(280\) 14.4923 + 12.2889i 0.866082 + 0.734404i
\(281\) 5.68218 + 2.59496i 0.338970 + 0.154803i 0.577626 0.816302i \(-0.303979\pi\)
−0.238655 + 0.971104i \(0.576707\pi\)
\(282\) 0.966616 0.760156i 0.0575612 0.0452666i
\(283\) 18.5582 17.6952i 1.10317 1.05187i 0.104815 0.994492i \(-0.466575\pi\)
0.998353 0.0573764i \(-0.0182735\pi\)
\(284\) 0.932969 + 19.5854i 0.0553615 + 1.16218i
\(285\) 20.7820 + 14.7988i 1.23102 + 0.876604i
\(286\) −3.13518 + 0.920571i −0.185387 + 0.0544345i
\(287\) −6.92149 + 29.9232i −0.408563 + 1.76631i
\(288\) 3.52970 4.07350i 0.207990 0.240033i
\(289\) 1.76362 + 1.68161i 0.103742 + 0.0989181i
\(290\) 4.86579 + 0.464627i 0.285729 + 0.0272838i
\(291\) 9.17585 0.437100i 0.537898 0.0256232i
\(292\) 15.3950 3.73480i 0.900927 0.218563i
\(293\) −1.94609 13.5354i −0.113692 0.790745i −0.964275 0.264904i \(-0.914660\pi\)
0.850583 0.525841i \(-0.176249\pi\)
\(294\) 3.37632 2.04678i 0.196911 0.119370i
\(295\) −9.20503 1.32348i −0.535938 0.0770562i
\(296\) −2.28164 0.108688i −0.132618 0.00631736i
\(297\) −6.03059 + 1.16230i −0.349930 + 0.0674435i
\(298\) 7.61083 + 4.39411i 0.440884 + 0.254544i
\(299\) −0.544618 4.49082i −0.0314961 0.259711i
\(300\) 11.7048i 0.675779i
\(301\) 14.8239 + 5.75150i 0.854433 + 0.331511i
\(302\) −8.04244 5.16856i −0.462790 0.297417i
\(303\) −14.7767 + 5.91570i −0.848900 + 0.339848i
\(304\) −9.38178 13.1749i −0.538082 0.755630i
\(305\) −41.5773 16.6450i −2.38071 0.953092i
\(306\) 0.586259 + 2.41659i 0.0335142 + 0.138147i
\(307\) −6.61258 10.2894i −0.377400 0.587246i 0.599648 0.800264i \(-0.295307\pi\)
−0.977048 + 0.213018i \(0.931671\pi\)
\(308\) −3.59991 + 27.0905i −0.205124 + 1.54363i
\(309\) 2.66992 + 9.09292i 0.151887 + 0.517278i
\(310\) 0.891709 4.62663i 0.0506457 0.262775i
\(311\) −12.6264 + 4.37005i −0.715979 + 0.247803i −0.660680 0.750667i \(-0.729732\pi\)
−0.0552982 + 0.998470i \(0.517611\pi\)
\(312\) 0.461824 1.90366i 0.0261456 0.107774i
\(313\) −12.5954 + 17.6878i −0.711934 + 0.999771i 0.287188 + 0.957874i \(0.407279\pi\)
−0.999122 + 0.0418967i \(0.986660\pi\)
\(314\) −2.47931 + 1.59336i −0.139916 + 0.0899183i
\(315\) 8.67793 + 2.89997i 0.488946 + 0.163395i
\(316\) 4.49279 0.645965i 0.252739 0.0363384i
\(317\) 1.27637 0.121879i 0.0716882 0.00684539i −0.0591503 0.998249i \(-0.518839\pi\)
0.130838 + 0.991404i \(0.458233\pi\)
\(318\) −1.36579 1.07407i −0.0765897 0.0602308i
\(319\) 7.05212 + 13.6792i 0.394843 + 0.765889i
\(320\) 1.52083 4.39415i 0.0850170 0.245641i
\(321\) −0.0458446 −0.00255880
\(322\) 6.84346 + 2.09465i 0.381371 + 0.116730i
\(323\) 32.5246 1.80972
\(324\) 0.550083 1.58936i 0.0305602 0.0882978i
\(325\) 3.00807 + 5.83484i 0.166858 + 0.323658i
\(326\) −4.48735 3.52889i −0.248532 0.195447i
\(327\) −2.26519 + 0.216300i −0.125265 + 0.0119614i
\(328\) −23.8622 + 3.43087i −1.31757 + 0.189438i
\(329\) −3.82377 4.31871i −0.210811 0.238098i
\(330\) 10.0779 6.47669i 0.554771 0.356530i
\(331\) 3.34839 4.70215i 0.184044 0.258454i −0.712238 0.701938i \(-0.752318\pi\)
0.896282 + 0.443484i \(0.146258\pi\)
\(332\) 1.08406 4.46856i 0.0594955 0.245244i
\(333\) −1.03943 + 0.359751i −0.0569605 + 0.0197142i
\(334\) −0.760483 + 3.94576i −0.0416118 + 0.215902i
\(335\) 1.14466 + 3.89835i 0.0625394 + 0.212990i
\(336\) −4.59755 3.53668i −0.250817 0.192942i
\(337\) −15.6536 24.3574i −0.852703 1.32683i −0.943639 0.330975i \(-0.892622\pi\)
0.0909362 0.995857i \(-0.471014\pi\)
\(338\) 1.61039 + 6.63811i 0.0875935 + 0.361065i
\(339\) −17.1895 6.88162i −0.933603 0.373758i
\(340\) 14.8740 + 20.8877i 0.806658 + 1.13279i
\(341\) 13.7727 5.51377i 0.745835 0.298587i
\(342\) 3.50054 + 2.24966i 0.189288 + 0.121648i
\(343\) −10.5072 15.2512i −0.567335 0.823487i
\(344\) 12.4807i 0.672913i
\(345\) 6.55443 + 15.2351i 0.352879 + 0.820228i
\(346\) −6.75691 3.90110i −0.363253 0.209725i
\(347\) 3.60355 0.694527i 0.193449 0.0372842i −0.0916065 0.995795i \(-0.529200\pi\)
0.285055 + 0.958511i \(0.407988\pi\)
\(348\) −4.20977 0.200536i −0.225667 0.0107499i
\(349\) −32.4353 4.66349i −1.73622 0.249631i −0.799739 0.600347i \(-0.795029\pi\)
−0.936482 + 0.350717i \(0.885938\pi\)
\(350\) −10.3680 + 0.605025i −0.554193 + 0.0323399i
\(351\) −0.134240 0.933660i −0.00716520 0.0498351i
\(352\) −32.1700 + 7.80435i −1.71467 + 0.415973i
\(353\) 9.81408 0.467502i 0.522351 0.0248826i 0.215249 0.976559i \(-0.430944\pi\)
0.307102 + 0.951677i \(0.400641\pi\)
\(354\) −1.50991 0.144179i −0.0802507 0.00766301i
\(355\) −29.1790 27.8221i −1.54866 1.47664i
\(356\) 0.998599 1.15245i 0.0529257 0.0610795i
\(357\) 11.1561 3.40568i 0.590445 0.180248i
\(358\) −2.55547 + 0.750355i −0.135061 + 0.0396575i
\(359\) 17.6351 + 12.5579i 0.930743 + 0.662779i 0.941446 0.337164i \(-0.109468\pi\)
−0.0107031 + 0.999943i \(0.503407\pi\)
\(360\) 0.341723 + 7.17364i 0.0180104 + 0.378084i
\(361\) 25.6383 24.4461i 1.34939 1.28664i
\(362\) 5.95578 4.68368i 0.313029 0.246169i
\(363\) 24.3044 + 11.0994i 1.27565 + 0.582569i
\(364\) −4.12971 0.750247i −0.216456 0.0393236i
\(365\) −17.6106 + 27.4026i −0.921780 + 1.43432i
\(366\) −6.90273 2.38906i −0.360812 0.124878i
\(367\) −1.45310 + 2.51684i −0.0758512 + 0.131378i −0.901456 0.432871i \(-0.857501\pi\)
0.825605 + 0.564249i \(0.190834\pi\)
\(368\) −0.767746 10.4862i −0.0400215 0.546631i
\(369\) −10.0533 + 5.80427i −0.523354 + 0.302158i
\(370\) 1.62146 1.40500i 0.0842956 0.0730426i
\(371\) −4.65639 + 6.68917i −0.241748 + 0.347285i
\(372\) −0.578176 + 4.02130i −0.0299770 + 0.208495i
\(373\) 2.55451 + 26.7520i 0.132268 + 1.38517i 0.781180 + 0.624305i \(0.214618\pi\)
−0.648913 + 0.760863i \(0.724776\pi\)
\(374\) 5.67610 14.1782i 0.293504 0.733137i
\(375\) −4.67617 4.90423i −0.241477 0.253253i
\(376\) 2.07467 4.02431i 0.106993 0.207538i
\(377\) −2.15010 + 0.981916i −0.110736 + 0.0505712i
\(378\) 1.43627 + 0.405102i 0.0738737 + 0.0208362i
\(379\) −1.48881 1.29006i −0.0764751 0.0662661i 0.615784 0.787915i \(-0.288839\pi\)
−0.692260 + 0.721649i \(0.743385\pi\)
\(380\) 42.1333 + 8.12052i 2.16139 + 0.416574i
\(381\) 5.87027 + 1.42411i 0.300743 + 0.0729594i
\(382\) 0.405382 4.24535i 0.0207411 0.217211i
\(383\) 10.6862 + 5.50911i 0.546038 + 0.281502i 0.709093 0.705115i \(-0.249105\pi\)
−0.163055 + 0.986617i \(0.552135\pi\)
\(384\) 3.25075 11.0710i 0.165889 0.564966i
\(385\) −33.0827 45.4227i −1.68605 2.31495i
\(386\) −1.54780 + 3.38922i −0.0787811 + 0.172507i
\(387\) 2.23363 + 5.57933i 0.113542 + 0.283614i
\(388\) 13.7325 7.07960i 0.697163 0.359412i
\(389\) 1.06537 + 5.52766i 0.0540163 + 0.280263i 0.998886 0.0471825i \(-0.0150242\pi\)
−0.944870 + 0.327446i \(0.893812\pi\)
\(390\) 0.919954 + 1.59341i 0.0465837 + 0.0806853i
\(391\) 18.0725 + 10.9741i 0.913968 + 0.554983i
\(392\) 8.17722 12.0190i 0.413012 0.607052i
\(393\) 0.895841 + 1.03386i 0.0451892 + 0.0521511i
\(394\) −0.427340 + 8.97097i −0.0215291 + 0.451951i
\(395\) −5.76932 + 7.33629i −0.290286 + 0.369129i
\(396\) −8.41397 + 5.99156i −0.422818 + 0.301087i
\(397\) 19.8353 + 25.2226i 0.995503 + 1.26589i 0.963867 + 0.266386i \(0.0858295\pi\)
0.0316365 + 0.999499i \(0.489928\pi\)
\(398\) 0.0791097 + 0.0232287i 0.00396541 + 0.00116435i
\(399\) 9.57806 17.0069i 0.479503 0.851412i
\(400\) 6.33830 + 13.8789i 0.316915 + 0.693947i
\(401\) 7.63530 8.00767i 0.381289 0.399884i −0.504923 0.863164i \(-0.668479\pi\)
0.886212 + 0.463280i \(0.153328\pi\)
\(402\) 0.216736 + 0.626217i 0.0108098 + 0.0312328i
\(403\) 0.745229 + 2.15320i 0.0371225 + 0.107258i
\(404\) −18.4734 + 19.3743i −0.919085 + 0.963909i
\(405\) 1.43661 + 3.14573i 0.0713856 + 0.156313i
\(406\) −0.0399713 3.73932i −0.00198374 0.185580i
\(407\) 6.48164 + 1.90318i 0.321283 + 0.0943372i
\(408\) 5.65964 + 7.19682i 0.280194 + 0.356296i
\(409\) −8.79947 + 6.26607i −0.435106 + 0.309837i −0.776540 0.630068i \(-0.783027\pi\)
0.341434 + 0.939906i \(0.389087\pi\)
\(410\) 13.9972 17.7989i 0.691274 0.879027i
\(411\) 0.581155 12.1999i 0.0286662 0.601778i
\(412\) 10.4376 + 12.0456i 0.514224 + 0.593446i
\(413\) −0.262553 + 7.10994i −0.0129194 + 0.349857i
\(414\) 1.18605 + 2.43115i 0.0582910 + 0.119485i
\(415\) 4.72739 + 8.18807i 0.232058 + 0.401937i
\(416\) −0.962188 4.99230i −0.0471751 0.244768i
\(417\) 6.75095 3.48036i 0.330595 0.170434i
\(418\) −9.49809 23.7251i −0.464567 1.16043i
\(419\) −7.96199 + 17.4343i −0.388969 + 0.851723i 0.609302 + 0.792938i \(0.291450\pi\)
−0.998271 + 0.0587845i \(0.981278\pi\)
\(420\) 15.3023 1.62642i 0.746674 0.0793612i
\(421\) 2.89598 9.86281i 0.141142 0.480684i −0.858333 0.513093i \(-0.828500\pi\)
0.999475 + 0.0324089i \(0.0103179\pi\)
\(422\) −14.0720 7.25461i −0.685013 0.353149i
\(423\) 0.207240 2.17031i 0.0100763 0.105524i
\(424\) −6.21701 1.50823i −0.301925 0.0732461i
\(425\) −30.1278 5.80667i −1.46142 0.281665i
\(426\) −4.96960 4.30619i −0.240778 0.208635i
\(427\) −9.30114 + 32.9767i −0.450114 + 1.59585i
\(428\) −0.0701365 + 0.0320303i −0.00339018 + 0.00154824i
\(429\) −2.65455 + 5.14912i −0.128163 + 0.248602i
\(430\) −8.08957 8.48410i −0.390114 0.409140i
\(431\) 11.8117 29.5041i 0.568947 1.42116i −0.312973 0.949762i \(-0.601325\pi\)
0.881920 0.471399i \(-0.156251\pi\)
\(432\) −0.208399 2.18245i −0.0100266 0.105003i
\(433\) 3.78812 26.3469i 0.182045 1.26615i −0.669872 0.742477i \(-0.733651\pi\)
0.851917 0.523677i \(-0.175440\pi\)
\(434\) −3.59191 0.304279i −0.172417 0.0146059i
\(435\) 6.54928 5.67499i 0.314014 0.272095i
\(436\) −3.31434 + 1.91353i −0.158728 + 0.0916416i
\(437\) 34.5592 7.57889i 1.65319 0.362547i
\(438\) −2.65636 + 4.60096i −0.126926 + 0.219842i
\(439\) 1.50683 + 0.521520i 0.0719173 + 0.0248908i 0.362790 0.931871i \(-0.381824\pi\)
−0.290872 + 0.956762i \(0.593946\pi\)
\(440\) 23.8463 37.1055i 1.13683 1.76894i
\(441\) 1.50452 6.83640i 0.0716437 0.325543i
\(442\) 2.13363 + 0.974396i 0.101486 + 0.0463473i
\(443\) −15.9797 + 12.5665i −0.759216 + 0.597054i −0.920905 0.389788i \(-0.872548\pi\)
0.161689 + 0.986842i \(0.448306\pi\)
\(444\) −1.33885 + 1.27659i −0.0635391 + 0.0605844i
\(445\) 0.149194 + 3.13196i 0.00707245 + 0.148469i
\(446\) 4.00136 + 2.84936i 0.189470 + 0.134921i
\(447\) 14.9498 4.38965i 0.707100 0.207623i
\(448\) −3.46592 0.801695i −0.163749 0.0378765i
\(449\) 15.9009 18.3506i 0.750409 0.866018i −0.244199 0.969725i \(-0.578525\pi\)
0.994608 + 0.103707i \(0.0330705\pi\)
\(450\) −2.84095 2.70884i −0.133924 0.127696i
\(451\) 70.9719 + 6.77699i 3.34193 + 0.319116i
\(452\) −31.1057 + 1.48175i −1.46309 + 0.0696955i
\(453\) −16.4715 + 3.99595i −0.773901 + 0.187746i
\(454\) 0.429753 + 2.98900i 0.0201693 + 0.140281i
\(455\) 7.21016 4.74335i 0.338018 0.222372i
\(456\) 15.1647 + 2.18035i 0.710150 + 0.102104i
\(457\) 14.5989 + 0.695429i 0.682906 + 0.0325308i 0.386168 0.922428i \(-0.373798\pi\)
0.296737 + 0.954959i \(0.404101\pi\)
\(458\) 0.392659 0.0756788i 0.0183477 0.00353624i
\(459\) 3.81807 + 2.20436i 0.178212 + 0.102891i
\(460\) 20.6717 + 18.7283i 0.963824 + 0.873213i
\(461\) 24.7789i 1.15407i −0.816719 0.577035i \(-0.804210\pi\)
0.816719 0.577035i \(-0.195790\pi\)
\(462\) −5.74217 7.14329i −0.267150 0.332336i
\(463\) −8.09496 5.20231i −0.376204 0.241772i 0.338850 0.940840i \(-0.389962\pi\)
−0.715055 + 0.699068i \(0.753598\pi\)
\(464\) −5.10030 + 2.04185i −0.236775 + 0.0947905i
\(465\) −4.84559 6.80468i −0.224709 0.315559i
\(466\) 10.3938 + 4.16106i 0.481485 + 0.192758i
\(467\) 0.0824409 + 0.339826i 0.00381491 + 0.0157253i 0.973687 0.227889i \(-0.0731822\pi\)
−0.969872 + 0.243614i \(0.921667\pi\)
\(468\) −0.857691 1.33459i −0.0396468 0.0616916i
\(469\) 2.87320 1.18604i 0.132672 0.0547664i
\(470\) 1.19811 + 4.08037i 0.0552645 + 0.188214i
\(471\) −0.988858 + 5.13068i −0.0455642 + 0.236409i
\(472\) −5.27741 + 1.82653i −0.242913 + 0.0840728i
\(473\) 8.70182 35.8694i 0.400110 1.64928i
\(474\) −0.882974 + 1.23996i −0.0405564 + 0.0569534i
\(475\) −43.1919 + 27.7577i −1.98178 + 1.27361i
\(476\) 14.6880 13.0047i 0.673225 0.596070i
\(477\) −3.04916 + 0.438403i −0.139611 + 0.0200731i
\(478\) 7.85371 0.749938i 0.359220 0.0343014i
\(479\) −24.8406 19.5349i −1.13500 0.892571i −0.139772 0.990184i \(-0.544637\pi\)
−0.995225 + 0.0976123i \(0.968879\pi\)
\(480\) 8.54133 + 16.5679i 0.389856 + 0.756216i
\(481\) −0.339339 + 0.980455i −0.0154725 + 0.0447049i
\(482\) 13.1930 0.600925
\(483\) 11.0604 6.21832i 0.503266 0.282943i
\(484\) 44.9375 2.04261
\(485\) −10.3904 + 30.0211i −0.471804 + 1.36319i
\(486\) 0.258457 + 0.501337i 0.0117239 + 0.0227411i
\(487\) −11.0621 8.69932i −0.501271 0.394204i 0.335258 0.942126i \(-0.391176\pi\)
−0.836529 + 0.547922i \(0.815419\pi\)
\(488\) −26.7723 + 2.55644i −1.21192 + 0.115725i
\(489\) −10.0181 + 1.44039i −0.453035 + 0.0651367i
\(490\) 2.23164 + 13.4705i 0.100815 + 0.608534i
\(491\) 28.7013 18.4452i 1.29527 0.832419i 0.302581 0.953124i \(-0.402152\pi\)
0.992688 + 0.120704i \(0.0385153\pi\)
\(492\) −11.3250 + 15.9037i −0.510571 + 0.716996i
\(493\) 2.60460 10.7363i 0.117305 0.483539i
\(494\) 3.70913 1.28374i 0.166882 0.0577583i
\(495\) 4.01952 20.8552i 0.180664 0.937373i
\(496\) 1.49201 + 5.08133i 0.0669933 + 0.228158i
\(497\) −18.8068 + 24.4482i −0.843602 + 1.09665i
\(498\) 0.833706 + 1.29727i 0.0373592 + 0.0581321i
\(499\) 0.124391 + 0.512745i 0.00556849 + 0.0229536i 0.974528 0.224266i \(-0.0719983\pi\)
−0.968960 + 0.247219i \(0.920483\pi\)
\(500\) −10.5804 4.23575i −0.473170 0.189429i
\(501\) 4.13250 + 5.80328i 0.184626 + 0.259272i
\(502\) −1.26978 + 0.508341i −0.0566728 + 0.0226884i
\(503\) 26.9808 + 17.3395i 1.20301 + 0.773129i 0.979475 0.201566i \(-0.0646030\pi\)
0.223538 + 0.974695i \(0.428239\pi\)
\(504\) 5.42987 0.840030i 0.241865 0.0374179i
\(505\) 55.0444i 2.44945i
\(506\) 2.72736 16.3878i 0.121246 0.728525i
\(507\) 10.4878 + 6.05513i 0.465779 + 0.268918i
\(508\) 9.97575 1.92267i 0.442603 0.0853046i
\(509\) 34.6297 + 1.64962i 1.53494 + 0.0731180i 0.797922 0.602760i \(-0.205933\pi\)
0.737013 + 0.675878i \(0.236236\pi\)
\(510\) −8.51205 1.22385i −0.376920 0.0541929i
\(511\) 22.2711 + 11.1819i 0.985215 + 0.494656i
\(512\) −2.97762 20.7098i −0.131594 0.915254i
\(513\) 7.16938 1.73927i 0.316536 0.0767908i
\(514\) −3.44557 + 0.164133i −0.151978 + 0.00723958i
\(515\) −32.6247 3.11528i −1.43762 0.137276i
\(516\) 7.31528 + 6.97511i 0.322037 + 0.307062i
\(517\) −8.76843 + 10.1193i −0.385635 + 0.445047i
\(518\) −1.20000 1.11995i −0.0527248 0.0492078i
\(519\) −13.2724 + 3.89714i −0.582595 + 0.171065i
\(520\) 5.51817 + 3.92947i 0.241988 + 0.172319i
\(521\) −0.192049 4.03160i −0.00841380 0.176627i −0.999163 0.0409181i \(-0.986972\pi\)
0.990749 0.135709i \(-0.0433313\pi\)
\(522\) 1.02293 0.975366i 0.0447726 0.0426906i
\(523\) −17.6301 + 13.8645i −0.770911 + 0.606251i −0.924191 0.381932i \(-0.875259\pi\)
0.153279 + 0.988183i \(0.451017\pi\)
\(524\) 2.09285 + 0.955772i 0.0914265 + 0.0417531i
\(525\) −11.9085 + 14.0437i −0.519730 + 0.612917i
\(526\) −2.58458 + 4.02168i −0.112693 + 0.175354i
\(527\) −10.0639 3.48314i −0.438389 0.151728i
\(528\) −6.73232 + 11.6607i −0.292987 + 0.507468i
\(529\) 21.7602 + 7.44929i 0.946097 + 0.323882i
\(530\) 5.20378 3.00440i 0.226038 0.130503i
\(531\) −2.03231 + 1.76101i −0.0881949 + 0.0764213i
\(532\) 2.77098 32.7104i 0.120137 1.41818i
\(533\) −1.55833 + 10.8384i −0.0674988 + 0.469465i
\(534\) 0.0486117 + 0.509085i 0.00210363 + 0.0220303i
\(535\) 0.0589241 0.147185i 0.00254751 0.00636337i
\(536\) 1.68368 + 1.76579i 0.0727237 + 0.0762705i
\(537\) −2.16372 + 4.19703i −0.0933715 + 0.181115i
\(538\) 7.36123 3.36176i 0.317365 0.144936i
\(539\) −31.8812 + 28.8412i −1.37322 + 1.24228i
\(540\) 4.39566 + 3.80886i 0.189159 + 0.163907i
\(541\) −26.9487 5.19394i −1.15862 0.223305i −0.426502 0.904487i \(-0.640254\pi\)
−0.732114 + 0.681182i \(0.761466\pi\)
\(542\) 13.2075 + 3.20410i 0.567310 + 0.137628i
\(543\) 1.27690 13.3723i 0.0547971 0.573861i
\(544\) 21.1214 + 10.8889i 0.905574 + 0.466856i
\(545\) 2.21702 7.55046i 0.0949665 0.323426i
\(546\) 1.13783 0.828717i 0.0486947 0.0354658i
\(547\) −7.14043 + 15.6354i −0.305303 + 0.668520i −0.998642 0.0520912i \(-0.983411\pi\)
0.693340 + 0.720611i \(0.256139\pi\)
\(548\) −7.63464 19.0704i −0.326136 0.814647i
\(549\) −11.5107 + 5.93418i −0.491264 + 0.253264i
\(550\) 4.56249 + 23.6725i 0.194545 + 1.00940i
\(551\) −9.24336 16.0100i −0.393780 0.682047i
\(552\) 7.69068 + 6.32820i 0.327337 + 0.269346i
\(553\) 6.04774 + 3.79592i 0.257176 + 0.161419i
\(554\) −7.74389 8.93693i −0.329006 0.379694i
\(555\) 0.180993 3.79950i 0.00768271 0.161280i
\(556\) 7.89648 10.0412i 0.334885 0.425841i
\(557\) −31.4045 + 22.3630i −1.33065 + 0.947552i −0.330657 + 0.943751i \(0.607270\pi\)
−0.999993 + 0.00380093i \(0.998790\pi\)
\(558\) −0.842227 1.07098i −0.0356543 0.0453381i
\(559\) 5.43921 + 1.59710i 0.230054 + 0.0675500i
\(560\) 17.2638 10.2149i 0.729530 0.431657i
\(561\) −11.2480 24.6296i −0.474890 1.03986i
\(562\) −2.43140 + 2.54998i −0.102562 + 0.107564i
\(563\) 9.73006 + 28.1132i 0.410073 + 1.18483i 0.941292 + 0.337594i \(0.109613\pi\)
−0.531219 + 0.847235i \(0.678266\pi\)
\(564\) −1.19928 3.46510i −0.0504989 0.145907i
\(565\) 44.1872 46.3422i 1.85897 1.94963i
\(566\) 6.00823 + 13.1562i 0.252545 + 0.552996i
\(567\) 2.27702 1.34729i 0.0956257 0.0565809i
\(568\) −23.2302 6.82100i −0.974718 0.286203i
\(569\) 6.95640 + 8.84579i 0.291628 + 0.370835i 0.909685 0.415298i \(-0.136323\pi\)
−0.618058 + 0.786133i \(0.712080\pi\)
\(570\) −11.7218 + 8.34708i −0.490974 + 0.349621i
\(571\) −1.92897 + 2.45289i −0.0807249 + 0.102650i −0.824738 0.565515i \(-0.808678\pi\)
0.744013 + 0.668165i \(0.232920\pi\)
\(572\) −0.463600 + 9.73216i −0.0193841 + 0.406922i
\(573\) −4.95136 5.71417i −0.206846 0.238713i
\(574\) −14.6727 9.20948i −0.612428 0.384396i
\(575\) −33.3656 + 0.850493i −1.39144 + 0.0354680i
\(576\) −0.672291 1.16444i −0.0280121 0.0485184i
\(577\) −1.79061 9.29057i −0.0745441 0.386772i −0.999969 0.00784112i \(-0.997504\pi\)
0.925425 0.378930i \(-0.123708\pi\)
\(578\) −1.22168 + 0.629817i −0.0508150 + 0.0261970i
\(579\) 2.45513 + 6.13261i 0.102032 + 0.254862i
\(580\) 6.05464 13.2578i 0.251405 0.550500i
\(581\) 5.84699 4.25854i 0.242574 0.176674i
\(582\) −1.45977 + 4.97152i −0.0605094 + 0.206076i
\(583\) 16.8161 + 8.66928i 0.696450 + 0.359045i
\(584\) −1.85937 + 19.4722i −0.0769411 + 0.805764i
\(585\) 3.17008 + 0.769052i 0.131067 + 0.0317964i
\(586\) 7.57359 + 1.45969i 0.312862 + 0.0602993i
\(587\) 8.22546 + 7.12740i 0.339501 + 0.294179i 0.807878 0.589349i \(-0.200616\pi\)
−0.468377 + 0.883528i \(0.655161\pi\)
\(588\) −2.47467 11.5100i −0.102054 0.474664i
\(589\) −16.2101 + 7.40290i −0.667925 + 0.305031i
\(590\) 2.40357 4.66228i 0.0989536 0.191943i
\(591\) 10.9881 + 11.5240i 0.451989 + 0.474032i
\(592\) −0.896246 + 2.23871i −0.0368355 + 0.0920106i
\(593\) 1.01280 + 10.6065i 0.0415905 + 0.435556i 0.992154 + 0.125024i \(0.0399009\pi\)
−0.950563 + 0.310531i \(0.899493\pi\)
\(594\) 0.492990 3.42882i 0.0202276 0.140686i
\(595\) −3.40496 + 40.1943i −0.139590 + 1.64781i
\(596\) 19.8043 17.1606i 0.811218 0.702924i
\(597\) 0.126593 0.0730885i 0.00518111 0.00299131i
\(598\) 2.49415 + 0.538170i 0.101993 + 0.0220074i
\(599\) −6.07917 + 10.5294i −0.248388 + 0.430221i −0.963079 0.269220i \(-0.913234\pi\)
0.714690 + 0.699441i \(0.246568\pi\)
\(600\) −13.6579 4.72704i −0.557581 0.192981i
\(601\) 15.9936 24.8866i 0.652394 1.01514i −0.344682 0.938720i \(-0.612013\pi\)
0.997075 0.0764248i \(-0.0243505\pi\)
\(602\) −5.80034 + 6.84033i −0.236404 + 0.278791i
\(603\) 1.06868 + 0.488052i 0.0435202 + 0.0198750i
\(604\) −22.4075 + 17.6215i −0.911750 + 0.717008i
\(605\) −66.8734 + 63.7636i −2.71879 + 2.59236i
\(606\) −0.427177 8.96756i −0.0173529 0.364282i
\(607\) −35.8663 25.5403i −1.45577 1.03665i −0.988280 0.152650i \(-0.951219\pi\)
−0.467489 0.883999i \(-0.654841\pi\)
\(608\) 38.1532 11.2028i 1.54732 0.454333i
\(609\) −4.84694 4.52363i −0.196408 0.183307i
\(610\) 16.5422 19.0907i 0.669775 0.772961i
\(611\) −1.48835 1.41914i −0.0602121 0.0574121i
\(612\) 7.38128 + 0.704827i 0.298371 + 0.0284909i
\(613\) −29.9684 + 1.42757i −1.21041 + 0.0576591i −0.643060 0.765816i \(-0.722335\pi\)
−0.567353 + 0.823475i \(0.692032\pi\)
\(614\) 6.70429 1.62644i 0.270563 0.0656379i
\(615\) −5.71326 39.7366i −0.230381 1.60233i
\(616\) −30.1570 15.1412i −1.21506 0.610056i
\(617\) −0.196717 0.0282837i −0.00791954 0.00113866i 0.138354 0.990383i \(-0.455819\pi\)
−0.146273 + 0.989244i \(0.546728\pi\)
\(618\) −5.33922 0.254339i −0.214775 0.0102310i
\(619\) −12.5290 + 2.41477i −0.503583 + 0.0970578i −0.434715 0.900568i \(-0.643151\pi\)
−0.0688683 + 0.997626i \(0.521939\pi\)
\(620\) −12.1674 7.02483i −0.488653 0.282124i
\(621\) 4.57056 + 1.45257i 0.183410 + 0.0582895i
\(622\) 7.53628i 0.302177i
\(623\) 2.37064 0.366751i 0.0949776 0.0146936i
\(624\) −1.73970 1.11804i −0.0696437 0.0447573i
\(625\) −10.5493 + 4.22329i −0.421970 + 0.168931i
\(626\) −7.10428 9.97657i −0.283944 0.398744i
\(627\) −42.0629 16.8394i −1.67983 0.672502i
\(628\) 2.07183 + 8.54019i 0.0826749 + 0.340791i
\(629\) −2.62171 4.07946i −0.104535 0.162659i
\(630\) −3.14663 + 4.09050i −0.125365 + 0.162969i
\(631\) 8.63029 + 29.3921i 0.343567 + 1.17008i 0.932280 + 0.361738i \(0.117817\pi\)
−0.588713 + 0.808342i \(0.700365\pi\)
\(632\) −1.06068 + 5.50332i −0.0421915 + 0.218910i
\(633\) −26.5251 + 9.18043i −1.05428 + 0.364889i
\(634\) −0.170500 + 0.702812i −0.00677143 + 0.0279122i
\(635\) −12.1172 + 17.0162i −0.480856 + 0.675268i
\(636\) −4.35853 + 2.80106i −0.172827 + 0.111069i
\(637\) −4.19161 5.10174i −0.166078 0.202138i
\(638\) −8.59222 + 1.23537i −0.340169 + 0.0489089i
\(639\) −11.6055 + 1.10819i −0.459107 + 0.0438394i
\(640\) 31.3656 + 24.6662i 1.23983 + 0.975016i
\(641\) −19.2672 37.3732i −0.761010 1.47615i −0.875753 0.482759i \(-0.839635\pi\)
0.114743 0.993395i \(-0.463396\pi\)
\(642\) 0.00845737 0.0244360i 0.000333786 0.000964410i
\(643\) 21.4295 0.845096 0.422548 0.906341i \(-0.361136\pi\)
0.422548 + 0.906341i \(0.361136\pi\)
\(644\) 12.5765 17.2408i 0.495582 0.679383i
\(645\) −20.7835 −0.818348
\(646\) −6.00011 + 17.3362i −0.236071 + 0.682082i
\(647\) −14.2220 27.5869i −0.559126 1.08455i −0.983810 0.179212i \(-0.942645\pi\)
0.424684 0.905342i \(-0.360385\pi\)
\(648\) 1.63241 + 1.28374i 0.0641269 + 0.0504300i
\(649\) 16.4407 1.56990i 0.645355 0.0616240i
\(650\) −3.66499 + 0.526946i −0.143753 + 0.0206685i
\(651\) −4.78499 + 4.23661i −0.187538 + 0.166046i
\(652\) −14.3201 + 9.20298i −0.560819 + 0.360417i
\(653\) 2.60139 3.65314i 0.101800 0.142959i −0.760534 0.649299i \(-0.775063\pi\)
0.862334 + 0.506340i \(0.169002\pi\)
\(654\) 0.302589 1.24729i 0.0118322 0.0487728i
\(655\) −4.47064 + 1.54730i −0.174682 + 0.0604582i
\(656\) −4.81650 + 24.9904i −0.188053 + 0.975710i
\(657\) 2.65366 + 9.03755i 0.103529 + 0.352588i
\(658\) 3.00735 1.24142i 0.117239 0.0483956i
\(659\) −9.83449 15.3028i −0.383097 0.596111i 0.595135 0.803626i \(-0.297099\pi\)
−0.978232 + 0.207515i \(0.933462\pi\)
\(660\) −8.42158 34.7142i −0.327809 1.35125i
\(661\) 24.8849 + 9.96241i 0.967910 + 0.387493i 0.801123 0.598500i \(-0.204236\pi\)
0.166788 + 0.985993i \(0.446661\pi\)
\(662\) 1.88862 + 2.65220i 0.0734033 + 0.103081i
\(663\) 3.86069 1.54559i 0.149937 0.0600256i
\(664\) 4.77637 + 3.06959i 0.185359 + 0.119123i
\(665\) 42.2905 + 52.6096i 1.63996 + 2.04011i
\(666\) 0.620401i 0.0240400i
\(667\) 0.265754 12.0148i 0.0102901 0.465216i
\(668\) 10.3768 + 5.99104i 0.401490 + 0.231800i
\(669\) 8.55161 1.64819i 0.330624 0.0637226i
\(670\) −2.28905 0.109041i −0.0884339 0.00421262i
\(671\) 78.7257 + 11.3190i 3.03917 + 0.436967i
\(672\) 11.9137 7.83766i 0.459581 0.302344i
\(673\) −6.50053 45.2122i −0.250577 1.74280i −0.594764 0.803900i \(-0.702755\pi\)
0.344187 0.938901i \(-0.388155\pi\)
\(674\) 15.8707 3.85018i 0.611315 0.148303i
\(675\) −6.95158 + 0.331144i −0.267566 + 0.0127458i
\(676\) 20.2755 + 1.93608i 0.779828 + 0.0744646i
\(677\) −0.337832 0.322122i −0.0129840 0.0123802i 0.683559 0.729895i \(-0.260431\pi\)
−0.696543 + 0.717515i \(0.745280\pi\)
\(678\) 6.83911 7.89276i 0.262655 0.303119i
\(679\) 23.6793 + 5.47722i 0.908730 + 0.210197i
\(680\) −30.3799 + 8.92034i −1.16502 + 0.342080i
\(681\) 4.36106 + 3.10550i 0.167116 + 0.119003i
\(682\) 0.398153 + 8.35826i 0.0152461 + 0.320054i
\(683\) −13.4427 + 12.8176i −0.514371 + 0.490451i −0.902223 0.431270i \(-0.858066\pi\)
0.387852 + 0.921722i \(0.373217\pi\)
\(684\) 9.75307 7.66990i 0.372918 0.293266i
\(685\) 38.4212 + 17.5464i 1.46800 + 0.670413i
\(686\) 10.0675 2.78698i 0.384379 0.106408i
\(687\) 0.383297 0.596422i 0.0146237 0.0227549i
\(688\) 12.4512 + 4.30939i 0.474696 + 0.164294i
\(689\) −1.45287 + 2.51644i −0.0553498 + 0.0958686i
\(690\) −9.32970 + 0.683073i −0.355175 + 0.0260041i
\(691\) 12.0262 6.94335i 0.457500 0.264137i −0.253493 0.967337i \(-0.581579\pi\)
0.710992 + 0.703200i \(0.248246\pi\)
\(692\) −17.5823 + 15.2352i −0.668380 + 0.579154i
\(693\) −16.1911 1.37159i −0.615048 0.0521023i
\(694\) −0.294584 + 2.04888i −0.0111823 + 0.0777743i
\(695\) 2.49677 + 26.1474i 0.0947080 + 0.991827i
\(696\) 1.93413 4.83122i 0.0733129 0.183127i
\(697\) −35.3174 37.0399i −1.33774 1.40299i
\(698\) 8.46934 16.4282i 0.320569 0.621818i
\(699\) 18.0556 8.24573i 0.682927 0.311882i
\(700\) −8.40662 + 29.8052i −0.317740 + 1.12653i
\(701\) −14.0902 12.2092i −0.532180 0.461137i 0.346838 0.937925i \(-0.387255\pi\)
−0.879018 + 0.476788i \(0.841801\pi\)
\(702\) 0.522421 + 0.100688i 0.0197175 + 0.00380024i
\(703\) −7.88579 1.91307i −0.297418 0.0721528i
\(704\) −0.784958 + 8.22045i −0.0295842 + 0.309820i
\(705\) 6.70148 + 3.45485i 0.252392 + 0.130117i
\(706\) −1.56130 + 5.31732i −0.0587605 + 0.200120i
\(707\) −41.8762 + 4.45087i −1.57492 + 0.167392i
\(708\) −1.87882 + 4.11404i −0.0706103 + 0.154615i
\(709\) −11.0689 27.6487i −0.415701 1.03837i −0.977470 0.211076i \(-0.932303\pi\)
0.561769 0.827294i \(-0.310121\pi\)
\(710\) 20.2125 10.4203i 0.758563 0.391067i
\(711\) 0.510749 + 2.65002i 0.0191546 + 0.0993834i
\(712\) 0.941452 + 1.63064i 0.0352824 + 0.0611109i
\(713\) −11.5051 1.35594i −0.430868 0.0507804i
\(714\) −0.242787 + 6.57468i −0.00908609 + 0.246051i
\(715\) −13.1195 15.1407i −0.490640 0.566229i
\(716\) −0.377879 + 7.93266i −0.0141220 + 0.296457i
\(717\) 8.64644 10.9948i 0.322907 0.410610i
\(718\) −9.94685 + 7.08312i −0.371213 + 0.264340i
\(719\) 29.6979 + 37.7640i 1.10755 + 1.40836i 0.903073 + 0.429487i \(0.141306\pi\)
0.204473 + 0.978872i \(0.434452\pi\)
\(720\) 7.27466 + 2.13603i 0.271111 + 0.0796052i
\(721\) 0.268004 + 25.0718i 0.00998098 + 0.933723i
\(722\) 8.30045 + 18.1754i 0.308911 + 0.676420i
\(723\) 16.1411 16.9283i 0.600295 0.629572i
\(724\) −7.38934 21.3501i −0.274623 0.793471i
\(725\) 5.70392 + 16.4804i 0.211838 + 0.612067i
\(726\) −10.3998 + 10.9070i −0.385974 + 0.404798i
\(727\) 9.70046 + 21.2410i 0.359770 + 0.787787i 0.999811 + 0.0194458i \(0.00619018\pi\)
−0.640041 + 0.768341i \(0.721083\pi\)
\(728\) 2.54323 4.51580i 0.0942584 0.167367i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −11.3573 14.4419i −0.420351 0.534520i
\(731\) −21.5827 + 15.3690i −0.798266 + 0.568443i
\(732\) −13.4639 + 17.1207i −0.497639 + 0.632800i
\(733\) 1.20581 25.3131i 0.0445377 0.934962i −0.860453 0.509530i \(-0.829819\pi\)
0.904991 0.425432i \(-0.139878\pi\)
\(734\) −1.07345 1.23883i −0.0396219 0.0457261i
\(735\) 20.0147 + 13.6171i 0.738253 + 0.502275i
\(736\) 24.9800 + 6.64829i 0.920775 + 0.245059i
\(737\) −3.60772 6.24876i −0.132892 0.230176i
\(738\) −1.23915 6.42934i −0.0456139 0.236667i
\(739\) 9.60125 4.94979i 0.353188 0.182081i −0.272498 0.962156i \(-0.587850\pi\)
0.625685 + 0.780076i \(0.284819\pi\)
\(740\) −2.37770 5.93922i −0.0874062 0.218330i
\(741\) 2.89077 6.32990i 0.106195 0.232535i
\(742\) −2.70644 3.71595i −0.0993564 0.136417i
\(743\) 6.59017 22.4441i 0.241770 0.823393i −0.745794 0.666177i \(-0.767930\pi\)
0.987564 0.157217i \(-0.0502521\pi\)
\(744\) −4.45880 2.29867i −0.163467 0.0842733i
\(745\) −5.12187 + 53.6386i −0.187651 + 1.96517i
\(746\) −14.7305 3.57359i −0.539323 0.130838i
\(747\) 2.68457 + 0.517409i 0.0982234 + 0.0189310i
\(748\) −34.4160 29.8216i −1.25837 1.09039i
\(749\) −0.116739 0.0329264i −0.00426554 0.00120310i
\(750\) 3.47669 1.58775i 0.126951 0.0579765i
\(751\) −13.4431 + 26.0760i −0.490547 + 0.951528i 0.505511 + 0.862820i \(0.331304\pi\)
−0.996058 + 0.0887077i \(0.971726\pi\)
\(752\) −3.29843 3.45930i −0.120281 0.126148i
\(753\) −0.901253 + 2.25122i −0.0328435 + 0.0820391i
\(754\) −0.126730 1.32718i −0.00461525 0.0483330i
\(755\) 8.34177 58.0183i 0.303588 2.11150i
\(756\) 2.54224 3.65207i 0.0924603 0.132824i
\(757\) −34.7222 + 30.0870i −1.26200 + 1.09353i −0.270597 + 0.962693i \(0.587221\pi\)
−0.991404 + 0.130837i \(0.958234\pi\)
\(758\) 0.962279 0.555572i 0.0349516 0.0201793i
\(759\) −17.6908 23.5493i −0.642135 0.854786i
\(760\) −26.4912 + 45.8841i −0.960936 + 1.66439i
\(761\) 28.9147 + 10.0075i 1.04816 + 0.362771i 0.796242 0.604979i \(-0.206818\pi\)
0.251915 + 0.967749i \(0.418940\pi\)
\(762\) −1.84202 + 2.86623i −0.0667292 + 0.103833i
\(763\) −5.92344 1.07611i −0.214443 0.0389580i
\(764\) −11.5673 5.28260i −0.418489 0.191118i
\(765\) −11.9845 + 9.42473i −0.433301 + 0.340752i
\(766\) −4.90782 + 4.67960i −0.177327 + 0.169081i
\(767\) 0.120694 + 2.53368i 0.00435802 + 0.0914860i
\(768\) 3.11082 + 2.21520i 0.112252 + 0.0799343i
\(769\) 15.4379 4.53299i 0.556707 0.163464i 0.00873662 0.999962i \(-0.497219\pi\)
0.547970 + 0.836498i \(0.315401\pi\)
\(770\) 30.3141 9.25411i 1.09244 0.333495i
\(771\) −4.00492 + 4.62192i −0.144234 + 0.166454i
\(772\) 8.04070 + 7.66679i 0.289391 + 0.275934i
\(773\) 17.0999 + 1.63284i 0.615041