Properties

Label 441.2.bn.a.5.14
Level $441$
Weight $2$
Character 441.5
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 5.14
Character \(\chi\) \(=\) 441.5
Dual form 441.2.bn.a.353.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33541 + 1.06496i) q^{2} +(1.50168 - 0.863111i) q^{3} +(0.204153 - 0.894452i) q^{4} +(0.337281 + 0.229955i) q^{5} +(-1.08619 + 2.75183i) q^{6} +(-2.64519 + 0.0547315i) q^{7} +(-0.802272 - 1.66593i) q^{8} +(1.51008 - 2.59223i) q^{9} +O(q^{10})\) \(q+(-1.33541 + 1.06496i) q^{2} +(1.50168 - 0.863111i) q^{3} +(0.204153 - 0.894452i) q^{4} +(0.337281 + 0.229955i) q^{5} +(-1.08619 + 2.75183i) q^{6} +(-2.64519 + 0.0547315i) q^{7} +(-0.802272 - 1.66593i) q^{8} +(1.51008 - 2.59223i) q^{9} +(-0.695301 + 0.0521056i) q^{10} +(-0.812681 - 5.39178i) q^{11} +(-0.465440 - 1.51939i) q^{12} +(-0.625877 - 4.15242i) q^{13} +(3.47413 - 2.89009i) q^{14} +(0.704965 + 0.0542067i) q^{15} +(4.49871 + 2.16646i) q^{16} +(-2.55461 + 2.37033i) q^{17} +(0.744033 + 5.06986i) q^{18} +(5.35673 + 3.09271i) q^{19} +(0.274540 - 0.254736i) q^{20} +(-3.92498 + 2.36528i) q^{21} +(6.82727 + 6.33478i) q^{22} +(-1.61560 - 5.23765i) q^{23} +(-2.64264 - 1.80925i) q^{24} +(-1.76583 - 4.49925i) q^{25} +(5.25795 + 4.87867i) q^{26} +(0.0302713 - 5.19606i) q^{27} +(-0.491068 + 2.37717i) q^{28} +(-2.64071 - 2.84600i) q^{29} +(-0.999146 + 0.678368i) q^{30} +8.33578i q^{31} +(-4.70943 + 1.07490i) q^{32} +(-5.87409 - 7.39529i) q^{33} +(0.887160 - 5.88592i) q^{34} +(-0.904757 - 0.589812i) q^{35} +(-2.01034 - 1.87991i) q^{36} +(7.68811 + 2.37147i) q^{37} +(-10.4470 + 1.57464i) q^{38} +(-4.52387 - 5.69541i) q^{39} +(0.112498 - 0.746374i) q^{40} +(0.165105 - 2.20317i) q^{41} +(2.72255 - 7.33855i) q^{42} +(0.0259394 + 0.346138i) q^{43} +(-4.98861 - 0.373844i) q^{44} +(1.10542 - 0.527062i) q^{45} +(7.73535 + 5.27387i) q^{46} +(-2.08232 - 2.61115i) q^{47} +(8.62551 - 0.629551i) q^{48} +(6.99401 - 0.289550i) q^{49} +(7.14961 + 4.12783i) q^{50} +(-1.79035 + 5.76440i) q^{51} +(-3.84192 - 0.287912i) q^{52} +(0.138298 + 0.448352i) q^{53} +(5.49315 + 6.97112i) q^{54} +(0.965763 - 2.00543i) q^{55} +(2.21334 + 4.36279i) q^{56} +(10.7134 + 0.0208046i) q^{57} +(6.55730 + 0.988354i) q^{58} +(4.12753 + 1.98771i) q^{59} +(0.192406 - 0.619491i) q^{60} +(1.38826 - 0.316861i) q^{61} +(-8.87724 - 11.1317i) q^{62} +(-3.85256 + 6.93958i) q^{63} +(-1.08208 + 1.35689i) q^{64} +(0.743772 - 1.54446i) q^{65} +(15.7200 + 3.62012i) q^{66} -13.3970 q^{67} +(1.59862 + 2.76889i) q^{68} +(-6.94678 - 6.47082i) q^{69} +(1.83635 - 0.175884i) q^{70} +(12.6477 + 2.88674i) q^{71} +(-5.52998 - 0.436019i) q^{72} +(1.70277 - 11.2971i) q^{73} +(-12.7923 + 5.02061i) q^{74} +(-6.53505 - 5.23233i) q^{75} +(3.85987 - 4.15995i) q^{76} +(2.44479 + 14.2178i) q^{77} +(12.1066 + 2.78799i) q^{78} -8.34107 q^{79} +(1.01914 + 1.76520i) q^{80} +(-4.43932 - 7.82895i) q^{81} +(2.12580 + 3.11797i) q^{82} +(5.64766 + 0.851248i) q^{83} +(1.31433 + 3.99359i) q^{84} +(-1.40669 + 0.212025i) q^{85} +(-0.403261 - 0.434612i) q^{86} +(-6.42191 - 1.99456i) q^{87} +(-8.33037 + 5.67955i) q^{88} +(-4.15976 - 10.5989i) q^{89} +(-0.914890 + 1.88106i) q^{90} +(1.88283 + 10.9497i) q^{91} +(-5.01466 + 0.375797i) q^{92} +(7.19470 + 12.5177i) q^{93} +(5.56152 + 1.26938i) q^{94} +(1.09554 + 2.27492i) q^{95} +(-6.14430 + 5.67892i) q^{96} +(12.7187 - 7.34314i) q^{97} +(-9.03152 + 7.83498i) q^{98} +(-15.2040 - 6.03536i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} + O(q^{10}) \) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} - 22 q^{10} - 18 q^{11} - 72 q^{12} - 4 q^{13} + 66 q^{14} - 10 q^{15} - 105 q^{16} - 9 q^{17} - 27 q^{18} - 36 q^{19} - 27 q^{20} - 11 q^{21} - 9 q^{22} - 27 q^{23} - 8 q^{24} + 38 q^{25} + 6 q^{26} - 29 q^{27} - 26 q^{28} + 3 q^{29} - 16 q^{30} - 21 q^{32} - 11 q^{33} - 13 q^{34} + 28 q^{36} - 13 q^{37} - 90 q^{38} - 15 q^{39} - 31 q^{40} - 27 q^{41} - 4 q^{42} - 9 q^{43} + 51 q^{44} - 11 q^{45} - 108 q^{46} + 75 q^{47} - 15 q^{48} - 13 q^{49} - 45 q^{50} - 38 q^{51} + 64 q^{52} - 12 q^{53} - 41 q^{54} + 14 q^{55} + 3 q^{56} - 7 q^{57} - 90 q^{58} + 15 q^{59} - 69 q^{60} - 56 q^{61} + 66 q^{62} + 13 q^{63} + 64 q^{64} - 21 q^{65} - 204 q^{66} - 26 q^{67} + 3 q^{68} + 58 q^{69} - 22 q^{70} - 63 q^{71} - 18 q^{72} - 22 q^{73} - 12 q^{74} + 118 q^{75} - 63 q^{76} - 69 q^{77} - 147 q^{78} - 2 q^{79} - 45 q^{80} + 29 q^{81} - 28 q^{82} - 51 q^{83} - 31 q^{84} - 10 q^{85} - 72 q^{86} - 67 q^{87} + 4 q^{88} + 132 q^{89} + 58 q^{90} - 13 q^{91} - 15 q^{92} + 217 q^{93} - 7 q^{94} - 21 q^{95} - 44 q^{96} + 3 q^{97} + 21 q^{98} - 148 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{29}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33541 + 1.06496i −0.944279 + 0.753037i −0.969103 0.246655i \(-0.920669\pi\)
0.0248247 + 0.999692i \(0.492097\pi\)
\(3\) 1.50168 0.863111i 0.866995 0.498317i
\(4\) 0.204153 0.894452i 0.102076 0.447226i
\(5\) 0.337281 + 0.229955i 0.150837 + 0.102839i 0.636387 0.771370i \(-0.280428\pi\)
−0.485550 + 0.874209i \(0.661381\pi\)
\(6\) −1.08619 + 2.75183i −0.443433 + 1.12343i
\(7\) −2.64519 + 0.0547315i −0.999786 + 0.0206866i
\(8\) −0.802272 1.66593i −0.283646 0.588997i
\(9\) 1.51008 2.59223i 0.503360 0.864077i
\(10\) −0.695301 + 0.0521056i −0.219873 + 0.0164772i
\(11\) −0.812681 5.39178i −0.245032 1.62568i −0.685610 0.727969i \(-0.740464\pi\)
0.440577 0.897715i \(-0.354774\pi\)
\(12\) −0.465440 1.51939i −0.134361 0.438609i
\(13\) −0.625877 4.15242i −0.173587 1.15168i −0.890658 0.454675i \(-0.849756\pi\)
0.717070 0.697001i \(-0.245483\pi\)
\(14\) 3.47413 2.89009i 0.928499 0.772410i
\(15\) 0.704965 + 0.0542067i 0.182021 + 0.0139961i
\(16\) 4.49871 + 2.16646i 1.12468 + 0.541616i
\(17\) −2.55461 + 2.37033i −0.619585 + 0.574891i −0.926242 0.376929i \(-0.876980\pi\)
0.306657 + 0.951820i \(0.400789\pi\)
\(18\) 0.744033 + 5.06986i 0.175370 + 1.19498i
\(19\) 5.35673 + 3.09271i 1.22892 + 0.709516i 0.966804 0.255521i \(-0.0822470\pi\)
0.262114 + 0.965037i \(0.415580\pi\)
\(20\) 0.274540 0.254736i 0.0613891 0.0569608i
\(21\) −3.92498 + 2.36528i −0.856501 + 0.516146i
\(22\) 6.82727 + 6.33478i 1.45558 + 1.35058i
\(23\) −1.61560 5.23765i −0.336876 1.09213i −0.952616 0.304176i \(-0.901619\pi\)
0.615740 0.787949i \(-0.288857\pi\)
\(24\) −2.64264 1.80925i −0.539427 0.369311i
\(25\) −1.76583 4.49925i −0.353165 0.899850i
\(26\) 5.25795 + 4.87867i 1.03117 + 0.956785i
\(27\) 0.0302713 5.19606i 0.00582571 0.999983i
\(28\) −0.491068 + 2.37717i −0.0928031 + 0.449242i
\(29\) −2.64071 2.84600i −0.490367 0.528490i 0.438585 0.898690i \(-0.355480\pi\)
−0.928952 + 0.370200i \(0.879289\pi\)
\(30\) −0.999146 + 0.678368i −0.182418 + 0.123852i
\(31\) 8.33578i 1.49715i 0.663050 + 0.748575i \(0.269262\pi\)
−0.663050 + 0.748575i \(0.730738\pi\)
\(32\) −4.70943 + 1.07490i −0.832518 + 0.190017i
\(33\) −5.87409 7.39529i −1.02255 1.28736i
\(34\) 0.887160 5.88592i 0.152147 1.00943i
\(35\) −0.904757 0.589812i −0.152932 0.0996965i
\(36\) −2.01034 1.87991i −0.335057 0.313318i
\(37\) 7.68811 + 2.37147i 1.26392 + 0.389867i 0.853050 0.521829i \(-0.174750\pi\)
0.410867 + 0.911695i \(0.365226\pi\)
\(38\) −10.4470 + 1.57464i −1.69473 + 0.255440i
\(39\) −4.52387 5.69541i −0.724399 0.911995i
\(40\) 0.112498 0.746374i 0.0177875 0.118012i
\(41\) 0.165105 2.20317i 0.0257851 0.344078i −0.969359 0.245648i \(-0.920999\pi\)
0.995144 0.0984293i \(-0.0313818\pi\)
\(42\) 2.72255 7.33855i 0.420098 1.13236i
\(43\) 0.0259394 + 0.346138i 0.00395572 + 0.0527855i 0.998832 0.0483112i \(-0.0153839\pi\)
−0.994877 + 0.101097i \(0.967765\pi\)
\(44\) −4.98861 0.373844i −0.752061 0.0563591i
\(45\) 1.10542 0.527062i 0.164786 0.0785697i
\(46\) 7.73535 + 5.27387i 1.14052 + 0.777590i
\(47\) −2.08232 2.61115i −0.303738 0.380876i 0.606414 0.795149i \(-0.292607\pi\)
−0.910153 + 0.414273i \(0.864036\pi\)
\(48\) 8.62551 0.629551i 1.24498 0.0908678i
\(49\) 6.99401 0.289550i 0.999144 0.0413643i
\(50\) 7.14961 + 4.12783i 1.01111 + 0.583763i
\(51\) −1.79035 + 5.76440i −0.250699 + 0.807177i
\(52\) −3.84192 0.287912i −0.532779 0.0399262i
\(53\) 0.138298 + 0.448352i 0.0189967 + 0.0615858i 0.964575 0.263809i \(-0.0849789\pi\)
−0.945578 + 0.325395i \(0.894503\pi\)
\(54\) 5.49315 + 6.97112i 0.747523 + 0.948650i
\(55\) 0.965763 2.00543i 0.130223 0.270412i
\(56\) 2.21334 + 4.36279i 0.295769 + 0.583003i
\(57\) 10.7134 + 0.0208046i 1.41903 + 0.00275564i
\(58\) 6.55730 + 0.988354i 0.861016 + 0.129777i
\(59\) 4.12753 + 1.98771i 0.537359 + 0.258778i 0.682821 0.730585i \(-0.260753\pi\)
−0.145463 + 0.989364i \(0.546467\pi\)
\(60\) 0.192406 0.619491i 0.0248395 0.0799759i
\(61\) 1.38826 0.316861i 0.177748 0.0405699i −0.132720 0.991154i \(-0.542371\pi\)
0.310469 + 0.950584i \(0.399514\pi\)
\(62\) −8.87724 11.1317i −1.12741 1.41373i
\(63\) −3.85256 + 6.93958i −0.485377 + 0.874305i
\(64\) −1.08208 + 1.35689i −0.135261 + 0.169611i
\(65\) 0.743772 1.54446i 0.0922536 0.191567i
\(66\) 15.7200 + 3.62012i 1.93500 + 0.445606i
\(67\) −13.3970 −1.63670 −0.818350 0.574721i \(-0.805111\pi\)
−0.818350 + 0.574721i \(0.805111\pi\)
\(68\) 1.59862 + 2.76889i 0.193861 + 0.335777i
\(69\) −6.94678 6.47082i −0.836294 0.778996i
\(70\) 1.83635 0.175884i 0.219486 0.0210221i
\(71\) 12.6477 + 2.88674i 1.50100 + 0.342593i 0.892532 0.450985i \(-0.148927\pi\)
0.608468 + 0.793578i \(0.291784\pi\)
\(72\) −5.52998 0.436019i −0.651714 0.0513854i
\(73\) 1.70277 11.2971i 0.199294 1.32223i −0.635685 0.771949i \(-0.719282\pi\)
0.834979 0.550282i \(-0.185480\pi\)
\(74\) −12.7923 + 5.02061i −1.48707 + 0.583634i
\(75\) −6.53505 5.23233i −0.754603 0.604177i
\(76\) 3.85987 4.15995i 0.442758 0.477179i
\(77\) 2.44479 + 14.2178i 0.278610 + 1.62027i
\(78\) 12.1066 + 2.78799i 1.37080 + 0.315678i
\(79\) −8.34107 −0.938444 −0.469222 0.883080i \(-0.655466\pi\)
−0.469222 + 0.883080i \(0.655466\pi\)
\(80\) 1.01914 + 1.76520i 0.113943 + 0.197356i
\(81\) −4.43932 7.82895i −0.493258 0.869883i
\(82\) 2.12580 + 3.11797i 0.234755 + 0.344322i
\(83\) 5.64766 + 0.851248i 0.619911 + 0.0934366i 0.451486 0.892278i \(-0.350894\pi\)
0.168425 + 0.985715i \(0.446132\pi\)
\(84\) 1.31433 + 3.99359i 0.143405 + 0.435736i
\(85\) −1.40669 + 0.212025i −0.152577 + 0.0229973i
\(86\) −0.403261 0.434612i −0.0434847 0.0468654i
\(87\) −6.42191 1.99456i −0.688501 0.213840i
\(88\) −8.33037 + 5.67955i −0.888020 + 0.605442i
\(89\) −4.15976 10.5989i −0.440934 1.12348i −0.962743 0.270419i \(-0.912838\pi\)
0.521809 0.853062i \(-0.325257\pi\)
\(90\) −0.914890 + 1.88106i −0.0964378 + 0.198282i
\(91\) 1.88283 + 10.9497i 0.197374 + 1.14784i
\(92\) −5.01466 + 0.375797i −0.522814 + 0.0391795i
\(93\) 7.19470 + 12.5177i 0.746056 + 1.29802i
\(94\) 5.56152 + 1.26938i 0.573627 + 0.130927i
\(95\) 1.09554 + 2.27492i 0.112400 + 0.233402i
\(96\) −6.14430 + 5.67892i −0.627100 + 0.579602i
\(97\) 12.7187 7.34314i 1.29139 0.745583i 0.312487 0.949922i \(-0.398838\pi\)
0.978900 + 0.204339i \(0.0655044\pi\)
\(98\) −9.03152 + 7.83498i −0.912322 + 0.791452i
\(99\) −15.2040 6.03536i −1.52806 0.606577i
\(100\) −4.38486 + 0.660912i −0.438486 + 0.0660912i
\(101\) −0.727353 + 9.70585i −0.0723743 + 0.965768i 0.836303 + 0.548268i \(0.184713\pi\)
−0.908677 + 0.417500i \(0.862906\pi\)
\(102\) −3.74797 9.60448i −0.371105 0.950986i
\(103\) 0.0403603 0.0591977i 0.00397682 0.00583292i −0.824245 0.566233i \(-0.808400\pi\)
0.828222 + 0.560400i \(0.189353\pi\)
\(104\) −6.41554 + 4.37404i −0.629096 + 0.428910i
\(105\) −1.86773 0.104803i −0.182272 0.0102277i
\(106\) −0.662159 0.451453i −0.0643146 0.0438490i
\(107\) −14.9320 + 5.86036i −1.44353 + 0.566543i −0.952483 0.304592i \(-0.901480\pi\)
−0.491045 + 0.871134i \(0.663385\pi\)
\(108\) −4.64145 1.08787i −0.446624 0.104680i
\(109\) −1.76758 + 4.50371i −0.169303 + 0.431377i −0.990192 0.139710i \(-0.955383\pi\)
0.820889 + 0.571087i \(0.193478\pi\)
\(110\) 0.846000 + 3.70657i 0.0806629 + 0.353407i
\(111\) 13.5919 3.07451i 1.29009 0.291819i
\(112\) −12.0185 5.48447i −1.13564 0.518234i
\(113\) −1.48153 + 0.581456i −0.139370 + 0.0546988i −0.434001 0.900912i \(-0.642899\pi\)
0.294631 + 0.955611i \(0.404803\pi\)
\(114\) −14.3290 + 11.3815i −1.34203 + 1.06598i
\(115\) 0.659509 2.13808i 0.0614995 0.199377i
\(116\) −3.08472 + 1.78097i −0.286409 + 0.165359i
\(117\) −11.7092 4.64807i −1.08251 0.429714i
\(118\) −7.62878 + 1.74122i −0.702286 + 0.160292i
\(119\) 6.62769 6.40979i 0.607560 0.587585i
\(120\) −0.475268 1.21791i −0.0433859 0.111180i
\(121\) −17.8996 + 5.52129i −1.62723 + 0.501935i
\(122\) −1.51645 + 1.90157i −0.137293 + 0.172160i
\(123\) −1.65365 3.45096i −0.149104 0.311163i
\(124\) 7.45596 + 1.70177i 0.669565 + 0.152824i
\(125\) 0.893222 3.91346i 0.0798922 0.350031i
\(126\) −2.24559 13.3700i −0.200053 1.19109i
\(127\) 4.56427 + 19.9974i 0.405013 + 1.77448i 0.606598 + 0.795008i \(0.292534\pi\)
−0.201585 + 0.979471i \(0.564609\pi\)
\(128\) 12.6255i 1.11594i
\(129\) 0.337708 + 0.497399i 0.0297335 + 0.0437935i
\(130\) 0.651538 + 2.85457i 0.0571436 + 0.250363i
\(131\) 0.268200 + 3.57887i 0.0234327 + 0.312688i 0.996588 + 0.0825379i \(0.0263026\pi\)
−0.973155 + 0.230150i \(0.926078\pi\)
\(132\) −7.81395 + 3.74433i −0.680117 + 0.325902i
\(133\) −14.3388 7.88760i −1.24333 0.683942i
\(134\) 17.8905 14.2672i 1.54550 1.23250i
\(135\) 1.20507 1.74557i 0.103716 0.150235i
\(136\) 5.99832 + 2.35417i 0.514351 + 0.201868i
\(137\) 9.63134 + 14.1266i 0.822861 + 1.20692i 0.975797 + 0.218679i \(0.0701747\pi\)
−0.152936 + 0.988236i \(0.548873\pi\)
\(138\) 16.1680 + 1.24320i 1.37631 + 0.105828i
\(139\) −2.26997 0.170111i −0.192536 0.0144286i −0.0218872 0.999760i \(-0.506967\pi\)
−0.170649 + 0.985332i \(0.554587\pi\)
\(140\) −0.712268 + 0.688850i −0.0601976 + 0.0582185i
\(141\) −5.38070 2.12384i −0.453136 0.178859i
\(142\) −19.9641 + 9.61419i −1.67535 + 0.806805i
\(143\) −21.8803 + 6.74919i −1.82973 + 0.564396i
\(144\) 12.4094 8.39015i 1.03411 0.699179i
\(145\) −0.236209 1.56715i −0.0196161 0.130144i
\(146\) 9.75705 + 16.8997i 0.807500 + 1.39863i
\(147\) 10.2528 6.47142i 0.845640 0.533753i
\(148\) 3.69071 6.39250i 0.303375 0.525461i
\(149\) 1.80228 + 0.707341i 0.147648 + 0.0579476i 0.438014 0.898968i \(-0.355682\pi\)
−0.290366 + 0.956916i \(0.593777\pi\)
\(150\) 14.2992 + 0.0277678i 1.16752 + 0.00226723i
\(151\) −3.66724 3.40270i −0.298435 0.276908i 0.516714 0.856158i \(-0.327155\pi\)
−0.815150 + 0.579250i \(0.803345\pi\)
\(152\) 0.854698 11.4051i 0.0693251 0.925080i
\(153\) 2.28679 + 10.2015i 0.184876 + 0.824746i
\(154\) −18.4061 16.3830i −1.48321 1.32018i
\(155\) −1.91685 + 2.81150i −0.153965 + 0.225825i
\(156\) −6.01783 + 2.88365i −0.481812 + 0.230877i
\(157\) −2.78111 + 5.77504i −0.221957 + 0.460898i −0.981977 0.189002i \(-0.939475\pi\)
0.760020 + 0.649900i \(0.225189\pi\)
\(158\) 11.1388 8.88287i 0.886153 0.706683i
\(159\) 0.594656 + 0.553913i 0.0471593 + 0.0439282i
\(160\) −1.83558 0.720413i −0.145115 0.0569536i
\(161\) 4.56023 + 13.7661i 0.359396 + 1.08492i
\(162\) 14.2658 + 5.72719i 1.12083 + 0.449971i
\(163\) 20.1003 13.7042i 1.57438 1.07339i 0.616060 0.787699i \(-0.288728\pi\)
0.958320 0.285696i \(-0.0922247\pi\)
\(164\) −1.93693 0.597463i −0.151249 0.0466540i
\(165\) −0.280640 3.84507i −0.0218478 0.299338i
\(166\) −8.44849 + 4.87774i −0.655730 + 0.378586i
\(167\) −0.638303 0.196890i −0.0493934 0.0152358i 0.269960 0.962872i \(-0.412990\pi\)
−0.319353 + 0.947636i \(0.603466\pi\)
\(168\) 7.08930 + 4.64116i 0.546951 + 0.358073i
\(169\) −4.42846 + 1.36600i −0.340651 + 0.105077i
\(170\) 1.65272 1.78121i 0.126758 0.136612i
\(171\) 16.1061 9.21564i 1.23166 0.704738i
\(172\) 0.314899 + 0.0474634i 0.0240108 + 0.00361905i
\(173\) −3.32576 + 14.5711i −0.252853 + 1.10782i 0.675862 + 0.737028i \(0.263772\pi\)
−0.928715 + 0.370794i \(0.879086\pi\)
\(174\) 10.7000 4.17549i 0.811166 0.316543i
\(175\) 4.91719 + 11.8047i 0.371704 + 0.892352i
\(176\) 8.02509 26.0167i 0.604914 1.96108i
\(177\) 7.91384 0.577608i 0.594841 0.0434157i
\(178\) 16.8424 + 9.72394i 1.26239 + 0.728840i
\(179\) 4.32717 + 4.66358i 0.323428 + 0.348573i 0.873746 0.486383i \(-0.161684\pi\)
−0.550318 + 0.834955i \(0.685493\pi\)
\(180\) −0.245757 1.09634i −0.0183177 0.0817166i
\(181\) −9.69695 7.73306i −0.720768 0.574794i 0.192917 0.981215i \(-0.438205\pi\)
−0.913686 + 0.406421i \(0.866776\pi\)
\(182\) −14.1753 12.6172i −1.05074 0.935249i
\(183\) 1.81123 1.67405i 0.133890 0.123749i
\(184\) −7.42943 + 6.89350i −0.547705 + 0.508196i
\(185\) 2.04773 + 2.56777i 0.150552 + 0.188786i
\(186\) −22.9387 9.05420i −1.68194 0.663886i
\(187\) 14.8564 + 11.8476i 1.08641 + 0.866382i
\(188\) −2.76066 + 1.32947i −0.201342 + 0.0969613i
\(189\) 0.204315 + 13.7462i 0.0148617 + 0.999890i
\(190\) −3.88568 1.87125i −0.281897 0.135755i
\(191\) 7.71766 + 16.0259i 0.558431 + 1.15959i 0.968839 + 0.247691i \(0.0796718\pi\)
−0.410408 + 0.911902i \(0.634614\pi\)
\(192\) −0.453796 + 2.97157i −0.0327499 + 0.214455i
\(193\) 5.35681 2.57970i 0.385592 0.185691i −0.231038 0.972945i \(-0.574212\pi\)
0.616629 + 0.787254i \(0.288498\pi\)
\(194\) −9.16458 + 23.3510i −0.657978 + 1.67650i
\(195\) −0.216132 2.96124i −0.0154776 0.212059i
\(196\) 1.16886 6.31492i 0.0834899 0.451066i
\(197\) 18.3565i 1.30785i −0.756561 0.653923i \(-0.773122\pi\)
0.756561 0.653923i \(-0.226878\pi\)
\(198\) 26.7309 8.13184i 1.89969 0.577905i
\(199\) 5.37436 7.88274i 0.380978 0.558793i −0.587076 0.809532i \(-0.699721\pi\)
0.968055 + 0.250739i \(0.0806735\pi\)
\(200\) −6.07878 + 6.55137i −0.429835 + 0.463252i
\(201\) −20.1179 + 11.5631i −1.41901 + 0.815596i
\(202\) −9.36498 13.7359i −0.658918 0.966455i
\(203\) 7.14092 + 7.38368i 0.501195 + 0.518233i
\(204\) 4.79047 + 2.77820i 0.335400 + 0.194513i
\(205\) 0.562316 0.705122i 0.0392739 0.0492479i
\(206\) 0.00914527 + 0.122035i 0.000637181 + 0.00850260i
\(207\) −16.0169 3.72125i −1.11325 0.258645i
\(208\) 6.18043 20.0365i 0.428536 1.38928i
\(209\) 12.3219 31.3957i 0.852324 2.17169i
\(210\) 2.60580 1.84909i 0.179817 0.127600i
\(211\) −1.20877 3.07991i −0.0832154 0.212029i 0.883209 0.468979i \(-0.155378\pi\)
−0.966425 + 0.256949i \(0.917283\pi\)
\(212\) 0.429263 0.0321688i 0.0294819 0.00220936i
\(213\) 21.4843 6.58136i 1.47208 0.450948i
\(214\) 13.6993 23.7279i 0.936465 1.62200i
\(215\) −0.0708470 + 0.122711i −0.00483173 + 0.00836879i
\(216\) −8.68059 + 4.11822i −0.590639 + 0.280210i
\(217\) −0.456230 22.0497i −0.0309709 1.49683i
\(218\) −2.43581 7.89670i −0.164974 0.534832i
\(219\) −7.19367 18.4344i −0.486103 1.24568i
\(220\) −1.59660 1.27324i −0.107642 0.0858420i
\(221\) 11.4415 + 9.12430i 0.769639 + 0.613767i
\(222\) −14.8766 + 18.5805i −0.998451 + 1.24704i
\(223\) 3.65031 + 11.8340i 0.244443 + 0.792464i 0.991773 + 0.128011i \(0.0408592\pi\)
−0.747330 + 0.664453i \(0.768665\pi\)
\(224\) 12.3985 3.10106i 0.828409 0.207198i
\(225\) −14.3296 2.21680i −0.955309 0.147786i
\(226\) 1.35922 2.35424i 0.0904141 0.156602i
\(227\) −2.26695 + 3.92646i −0.150462 + 0.260609i −0.931398 0.364004i \(-0.881410\pi\)
0.780935 + 0.624612i \(0.214743\pi\)
\(228\) 2.20579 9.57841i 0.146082 0.634346i
\(229\) 26.2951 1.97054i 1.73763 0.130217i 0.832134 0.554575i \(-0.187119\pi\)
0.905495 + 0.424358i \(0.139500\pi\)
\(230\) 1.39624 + 3.55756i 0.0920653 + 0.234578i
\(231\) 15.9428 + 19.2404i 1.04896 + 1.26593i
\(232\) −2.62269 + 6.68251i −0.172188 + 0.438728i
\(233\) 6.50154 21.0775i 0.425930 1.38083i −0.447675 0.894196i \(-0.647748\pi\)
0.873605 0.486635i \(-0.161776\pi\)
\(234\) 20.5866 6.26265i 1.34578 0.409402i
\(235\) −0.101883 1.35953i −0.00664611 0.0886861i
\(236\) 2.62056 3.28608i 0.170584 0.213906i
\(237\) −12.5256 + 7.19927i −0.813626 + 0.467643i
\(238\) −2.02456 + 15.6179i −0.131233 + 1.01236i
\(239\) −1.83565 2.69240i −0.118738 0.174157i 0.762268 0.647261i \(-0.224086\pi\)
−0.881006 + 0.473104i \(0.843133\pi\)
\(240\) 3.05399 + 1.77114i 0.197134 + 0.114327i
\(241\) 4.11085 4.43044i 0.264803 0.285390i −0.586628 0.809857i \(-0.699545\pi\)
0.851431 + 0.524467i \(0.175735\pi\)
\(242\) 18.0234 26.4355i 1.15859 1.69934i
\(243\) −13.4237 7.92494i −0.861130 0.508385i
\(244\) 1.30642i 0.0836350i
\(245\) 2.42553 + 1.51064i 0.154962 + 0.0965115i
\(246\) 5.88342 + 2.84739i 0.375113 + 0.181543i
\(247\) 9.48958 24.1791i 0.603808 1.53848i
\(248\) 13.8869 6.68756i 0.881817 0.424661i
\(249\) 9.21569 3.59625i 0.584021 0.227903i
\(250\) 2.97484 + 6.17733i 0.188146 + 0.390688i
\(251\) 15.0814 + 7.26283i 0.951930 + 0.458426i 0.844363 0.535772i \(-0.179979\pi\)
0.107568 + 0.994198i \(0.465694\pi\)
\(252\) 5.42061 + 4.86267i 0.341466 + 0.306319i
\(253\) −26.9273 + 12.9675i −1.69290 + 0.815260i
\(254\) −27.3915 21.8440i −1.71869 1.37061i
\(255\) −1.92940 + 1.53252i −0.120824 + 0.0959704i
\(256\) 11.2814 + 14.1464i 0.705087 + 0.884152i
\(257\) 11.9789 11.1148i 0.747223 0.693322i −0.211590 0.977358i \(-0.567864\pi\)
0.958813 + 0.284037i \(0.0916737\pi\)
\(258\) −0.980687 0.304589i −0.0610549 0.0189629i
\(259\) −20.4663 5.85219i −1.27171 0.363637i
\(260\) −1.22960 0.980575i −0.0762567 0.0608127i
\(261\) −11.3652 + 2.54763i −0.703487 + 0.157694i
\(262\) −4.16950 4.49365i −0.257592 0.277619i
\(263\) −0.787836 0.454858i −0.0485801 0.0280477i 0.475513 0.879709i \(-0.342262\pi\)
−0.524093 + 0.851661i \(0.675596\pi\)
\(264\) −7.60746 + 15.7189i −0.468207 + 0.967431i
\(265\) −0.0564551 + 0.183023i −0.00346801 + 0.0112430i
\(266\) 27.5482 4.73699i 1.68909 0.290443i
\(267\) −15.3947 12.3258i −0.942138 0.754327i
\(268\) −2.73503 + 11.9829i −0.167068 + 0.731975i
\(269\) 18.7864 + 2.83159i 1.14543 + 0.172645i 0.694212 0.719771i \(-0.255753\pi\)
0.451213 + 0.892416i \(0.350991\pi\)
\(270\) 0.249696 + 3.61440i 0.0151960 + 0.219966i
\(271\) 0.0831339 0.0895970i 0.00505002 0.00544263i −0.730522 0.682889i \(-0.760723\pi\)
0.735572 + 0.677447i \(0.236914\pi\)
\(272\) −16.6277 + 5.12896i −1.00820 + 0.310989i
\(273\) 12.2782 + 14.8178i 0.743110 + 0.896815i
\(274\) −27.9060 8.60785i −1.68586 0.520020i
\(275\) −22.8239 + 13.1774i −1.37633 + 0.794627i
\(276\) −7.20605 + 4.89253i −0.433753 + 0.294496i
\(277\) −4.42713 1.36559i −0.266001 0.0820503i 0.158886 0.987297i \(-0.449210\pi\)
−0.424886 + 0.905247i \(0.639686\pi\)
\(278\) 3.21251 2.19025i 0.192673 0.131362i
\(279\) 21.6083 + 12.5877i 1.29365 + 0.753605i
\(280\) −0.256727 + 1.98046i −0.0153424 + 0.118355i
\(281\) 11.9215 + 4.67883i 0.711175 + 0.279116i 0.693223 0.720723i \(-0.256190\pi\)
0.0179521 + 0.999839i \(0.494285\pi\)
\(282\) 9.44724 2.89401i 0.562575 0.172336i
\(283\) −5.18455 + 4.13454i −0.308190 + 0.245773i −0.765355 0.643609i \(-0.777436\pi\)
0.457165 + 0.889382i \(0.348865\pi\)
\(284\) 5.16411 10.7234i 0.306434 0.636316i
\(285\) 3.60866 + 2.47062i 0.213758 + 0.146347i
\(286\) 22.0317 32.3145i 1.30276 1.91080i
\(287\) −0.316150 + 5.83683i −0.0186618 + 0.344537i
\(288\) −4.32524 + 13.8311i −0.254867 + 0.815007i
\(289\) −0.362849 + 4.84189i −0.0213441 + 0.284817i
\(290\) 1.98438 + 1.84123i 0.116527 + 0.108121i
\(291\) 12.7614 22.0047i 0.748089 1.28994i
\(292\) −9.75713 3.82939i −0.570993 0.224098i
\(293\) −8.74143 + 15.1406i −0.510680 + 0.884523i 0.489244 + 0.872147i \(0.337273\pi\)
−0.999923 + 0.0123759i \(0.996061\pi\)
\(294\) −6.80000 + 19.5608i −0.396584 + 1.14081i
\(295\) 0.935055 + 1.61956i 0.0544410 + 0.0942946i
\(296\) −2.21724 14.7104i −0.128875 0.855027i
\(297\) −28.0407 + 4.05952i −1.62708 + 0.235558i
\(298\) −3.16007 + 0.974752i −0.183058 + 0.0564658i
\(299\) −20.7378 + 9.98678i −1.19930 + 0.577551i
\(300\) −6.01422 + 4.77710i −0.347231 + 0.275806i
\(301\) −0.0875592 0.914178i −0.00504683 0.0526924i
\(302\) 8.52099 + 0.638560i 0.490328 + 0.0367450i
\(303\) 7.28497 + 15.2029i 0.418511 + 0.873381i
\(304\) 17.3981 + 25.5183i 0.997850 + 1.46358i
\(305\) 0.541098 + 0.212365i 0.0309832 + 0.0121600i
\(306\) −13.9180 11.1879i −0.795638 0.639572i
\(307\) 10.6332 8.47970i 0.606869 0.483962i −0.271182 0.962528i \(-0.587415\pi\)
0.878052 + 0.478566i \(0.158843\pi\)
\(308\) 13.2162 + 0.715854i 0.753066 + 0.0407895i
\(309\) 0.00951404 0.123731i 0.000541235 0.00703883i
\(310\) −0.434341 5.79588i −0.0246689 0.329184i
\(311\) −4.21374 18.4616i −0.238939 1.04686i −0.941969 0.335700i \(-0.891027\pi\)
0.703030 0.711161i \(-0.251830\pi\)
\(312\) −5.85880 + 12.1057i −0.331689 + 0.685352i
\(313\) 9.81019i 0.554505i −0.960797 0.277252i \(-0.910576\pi\)
0.960797 0.277252i \(-0.0894238\pi\)
\(314\) −2.43623 10.6738i −0.137484 0.602358i
\(315\) −2.89518 + 1.45468i −0.163125 + 0.0819617i
\(316\) −1.70285 + 7.46069i −0.0957931 + 0.419697i
\(317\) −12.7410 2.90805i −0.715605 0.163332i −0.150809 0.988563i \(-0.548188\pi\)
−0.564796 + 0.825231i \(0.691045\pi\)
\(318\) −1.38400 0.106420i −0.0776111 0.00596773i
\(319\) −13.1990 + 16.5510i −0.739002 + 0.926679i
\(320\) −0.676990 + 0.208824i −0.0378449 + 0.0116736i
\(321\) −17.3649 + 21.6883i −0.969213 + 1.21052i
\(322\) −20.7501 13.5270i −1.15636 0.753831i
\(323\) −21.0151 + 4.79656i −1.16931 + 0.266888i
\(324\) −7.90892 + 2.37246i −0.439385 + 0.131803i
\(325\) −17.5776 + 10.1484i −0.975030 + 0.562934i
\(326\) −12.2479 + 39.7067i −0.678348 + 2.19915i
\(327\) 1.23287 + 8.28874i 0.0681779 + 0.458368i
\(328\) −3.80280 + 1.49249i −0.209974 + 0.0824089i
\(329\) 5.65105 + 6.79301i 0.311552 + 0.374511i
\(330\) 4.46960 + 4.83588i 0.246043 + 0.266206i
\(331\) −3.49477 15.3116i −0.192090 0.841600i −0.975483 0.220074i \(-0.929370\pi\)
0.783393 0.621526i \(-0.213487\pi\)
\(332\) 1.91439 4.87778i 0.105066 0.267703i
\(333\) 17.7570 16.3482i 0.973080 0.895878i
\(334\) 1.06208 0.416834i 0.0581142 0.0228082i
\(335\) −4.51854 3.08069i −0.246874 0.168316i
\(336\) −22.7816 + 2.13737i −1.24284 + 0.116603i
\(337\) 27.6323 18.8394i 1.50523 1.02625i 0.520164 0.854066i \(-0.325871\pi\)
0.985065 0.172182i \(-0.0550816\pi\)
\(338\) 4.45909 6.54029i 0.242543 0.355745i
\(339\) −1.72291 + 2.15188i −0.0935759 + 0.116874i
\(340\) −0.0975343 + 1.30151i −0.00528954 + 0.0705840i
\(341\) 44.9447 6.77433i 2.43389 0.366850i
\(342\) −11.6940 + 29.4590i −0.632341 + 1.59296i
\(343\) −18.4846 + 1.14871i −0.998075 + 0.0620243i
\(344\) 0.555832 0.320910i 0.0299684 0.0173023i
\(345\) −0.855026 3.77993i −0.0460330 0.203505i
\(346\) −11.0763 23.0002i −0.595467 1.23650i
\(347\) −11.6776 2.66534i −0.626886 0.143083i −0.102736 0.994709i \(-0.532760\pi\)
−0.524150 + 0.851626i \(0.675617\pi\)
\(348\) −3.09509 + 5.33690i −0.165914 + 0.286088i
\(349\) 11.1717 0.837205i 0.598009 0.0448146i 0.227713 0.973728i \(-0.426875\pi\)
0.370296 + 0.928914i \(0.379256\pi\)
\(350\) −19.1380 10.5276i −1.02297 0.562722i
\(351\) −21.5952 + 3.12640i −1.15267 + 0.166875i
\(352\) 9.62288 + 24.5187i 0.512901 + 1.30685i
\(353\) 13.8676 9.45474i 0.738096 0.503225i −0.134957 0.990851i \(-0.543090\pi\)
0.873052 + 0.487626i \(0.162137\pi\)
\(354\) −9.95311 + 9.19923i −0.529002 + 0.488934i
\(355\) 3.60200 + 3.88203i 0.191174 + 0.206037i
\(356\) −10.3294 + 1.55691i −0.547459 + 0.0825162i
\(357\) 4.42031 15.3459i 0.233947 0.812190i
\(358\) −10.7451 1.61956i −0.567895 0.0855963i
\(359\) 1.76986 + 2.59590i 0.0934094 + 0.137006i 0.870099 0.492877i \(-0.164055\pi\)
−0.776689 + 0.629884i \(0.783103\pi\)
\(360\) −1.76489 1.41870i −0.0930181 0.0747723i
\(361\) 9.62969 + 16.6791i 0.506826 + 0.877848i
\(362\) 21.1848 1.11345
\(363\) −22.1139 + 23.7405i −1.16068 + 1.24605i
\(364\) 10.1784 + 0.551307i 0.533491 + 0.0288963i
\(365\) 3.17214 3.41876i 0.166037 0.178946i
\(366\) −0.635959 + 4.16442i −0.0332421 + 0.217678i
\(367\) −21.0645 + 8.26722i −1.09956 + 0.431545i −0.844595 0.535405i \(-0.820159\pi\)
−0.254964 + 0.966951i \(0.582064\pi\)
\(368\) 4.07906 27.0628i 0.212636 1.41074i
\(369\) −5.46181 3.75495i −0.284330 0.195475i
\(370\) −5.46911 1.24829i −0.284326 0.0648955i
\(371\) −0.390363 1.17840i −0.0202666 0.0611797i
\(372\) 12.6653 3.87980i 0.656664 0.201158i
\(373\) 7.16508 + 12.4103i 0.370994 + 0.642580i 0.989719 0.143028i \(-0.0456838\pi\)
−0.618725 + 0.785608i \(0.712350\pi\)
\(374\) −32.4566 −1.67829
\(375\) −2.03642 6.64772i −0.105160 0.343287i
\(376\) −2.67942 + 5.56387i −0.138180 + 0.286935i
\(377\) −10.1651 + 12.7466i −0.523527 + 0.656483i
\(378\) −14.9119 18.1393i −0.766988 0.932983i
\(379\) 10.8692 + 13.6295i 0.558311 + 0.700100i 0.978245 0.207455i \(-0.0665181\pi\)
−0.419934 + 0.907555i \(0.637947\pi\)
\(380\) 2.25846 0.515479i 0.115857 0.0264435i
\(381\) 24.1140 + 26.0902i 1.23540 + 1.33664i
\(382\) −27.3731 13.1822i −1.40053 0.674460i
\(383\) −19.1133 2.88087i −0.976646 0.147206i −0.358723 0.933444i \(-0.616788\pi\)
−0.617923 + 0.786238i \(0.712026\pi\)
\(384\) −10.8972 18.9594i −0.556095 0.967518i
\(385\) −2.44486 + 5.35758i −0.124602 + 0.273048i
\(386\) −4.40628 + 9.14973i −0.224274 + 0.465709i
\(387\) 0.936439 + 0.455454i 0.0476019 + 0.0231520i
\(388\) −3.97153 12.8754i −0.201624 0.653649i
\(389\) −8.55413 0.641043i −0.433711 0.0325022i −0.143914 0.989590i \(-0.545969\pi\)
−0.289797 + 0.957088i \(0.593588\pi\)
\(390\) 3.44221 + 3.72430i 0.174303 + 0.188587i
\(391\) 16.5422 + 9.55065i 0.836576 + 0.482997i
\(392\) −6.09347 11.4193i −0.307766 0.576760i
\(393\) 3.49172 + 5.14283i 0.176134 + 0.259422i
\(394\) 19.5489 + 24.5135i 0.984857 + 1.23497i
\(395\) −2.81329 1.91807i −0.141552 0.0965085i
\(396\) −8.50228 + 12.3671i −0.427256 + 0.621469i
\(397\) 5.40380 + 0.404959i 0.271209 + 0.0203243i 0.209640 0.977779i \(-0.432771\pi\)
0.0615685 + 0.998103i \(0.480390\pi\)
\(398\) 1.21778 + 16.2502i 0.0610419 + 0.814547i
\(399\) −28.3402 + 0.531330i −1.41878 + 0.0265998i
\(400\) 1.80353 24.0664i 0.0901763 1.20332i
\(401\) 0.906092 6.01153i 0.0452481 0.300201i −0.954748 0.297416i \(-0.903875\pi\)
0.999996 0.00278558i \(-0.000886680\pi\)
\(402\) 14.5516 36.8662i 0.725767 1.83872i
\(403\) 34.6137 5.21718i 1.72423 0.259886i
\(404\) 8.53293 + 2.63206i 0.424529 + 0.130950i
\(405\) 0.303001 3.66140i 0.0150563 0.181936i
\(406\) −17.3994 2.25549i −0.863516 0.111938i
\(407\) 6.53846 43.3798i 0.324099 2.15026i
\(408\) 11.0394 1.64201i 0.546534 0.0812917i
\(409\) 31.8569 7.27114i 1.57522 0.359535i 0.656466 0.754356i \(-0.272051\pi\)
0.918758 + 0.394821i \(0.129193\pi\)
\(410\) 1.54047i 0.0760784i
\(411\) 26.6560 + 12.9007i 1.31484 + 0.636343i
\(412\) −0.0447098 0.0481858i −0.00220270 0.00237394i
\(413\) −11.0269 5.03197i −0.542597 0.247607i
\(414\) 25.3521 12.0879i 1.24599 0.594086i
\(415\) 1.70910 + 1.58581i 0.0838965 + 0.0778446i
\(416\) 7.41096 + 18.8828i 0.363352 + 0.925806i
\(417\) −3.55559 + 1.70379i −0.174118 + 0.0834347i
\(418\) 16.9802 + 55.0485i 0.830529 + 2.69251i
\(419\) 23.8438 + 22.1238i 1.16484 + 1.08082i 0.995452 + 0.0952692i \(0.0303712\pi\)
0.169393 + 0.985549i \(0.445819\pi\)
\(420\) −0.475043 + 1.64920i −0.0231797 + 0.0804726i
\(421\) −1.68575 + 1.56415i −0.0821585 + 0.0762319i −0.720183 0.693784i \(-0.755942\pi\)
0.638025 + 0.770016i \(0.279752\pi\)
\(422\) 4.89417 + 2.82565i 0.238245 + 0.137551i
\(423\) −9.91318 + 1.45482i −0.481995 + 0.0707357i
\(424\) 0.635971 0.590095i 0.0308855 0.0286576i
\(425\) 15.1757 + 7.30825i 0.736131 + 0.354502i
\(426\) −21.6815 + 31.6686i −1.05047 + 1.53435i
\(427\) −3.65486 + 0.914138i −0.176871 + 0.0442382i
\(428\) 2.19341 + 14.5523i 0.106023 + 0.703414i
\(429\) −27.0319 + 29.0203i −1.30511 + 1.40111i
\(430\) −0.0360714 0.239318i −0.00173952 0.0115409i
\(431\) −19.5335 + 1.46383i −0.940895 + 0.0705103i −0.536339 0.844003i \(-0.680193\pi\)
−0.404556 + 0.914513i \(0.632574\pi\)
\(432\) 11.3933 23.3100i 0.548158 1.12150i
\(433\) −15.3848 31.9469i −0.739347 1.53527i −0.841353 0.540485i \(-0.818241\pi\)
0.102007 0.994784i \(-0.467474\pi\)
\(434\) 24.0912 + 28.9596i 1.15641 + 1.39010i
\(435\) −1.70733 2.14948i −0.0818603 0.103060i
\(436\) 3.66750 + 2.50046i 0.175641 + 0.119750i
\(437\) 7.54419 33.0532i 0.360887 1.58115i
\(438\) 29.2383 + 16.9565i 1.39706 + 0.810214i
\(439\) −2.55368 + 2.03649i −0.121880 + 0.0971963i −0.682533 0.730855i \(-0.739122\pi\)
0.560653 + 0.828051i \(0.310550\pi\)
\(440\) −4.11571 −0.196209
\(441\) 9.81093 18.5673i 0.467187 0.884159i
\(442\) −24.9961 −1.18894
\(443\) 3.86167 3.07958i 0.183473 0.146315i −0.527446 0.849588i \(-0.676850\pi\)
0.710920 + 0.703273i \(0.248279\pi\)
\(444\) 0.0248274 12.7850i 0.00117826 0.606748i
\(445\) 1.03426 4.53137i 0.0490284 0.214807i
\(446\) −17.4774 11.9159i −0.827577 0.564232i
\(447\) 3.31695 0.493365i 0.156887 0.0233353i
\(448\) 2.78805 3.64845i 0.131723 0.172373i
\(449\) 11.8289 + 24.5630i 0.558241 + 1.15920i 0.968910 + 0.247414i \(0.0795809\pi\)
−0.410669 + 0.911785i \(0.634705\pi\)
\(450\) 21.4967 12.3001i 1.01337 0.579831i
\(451\) −12.0132 + 0.900265i −0.565680 + 0.0423918i
\(452\) 0.217627 + 1.44386i 0.0102363 + 0.0679135i
\(453\) −8.44392 1.94453i −0.396730 0.0913619i
\(454\) −1.15420 7.65764i −0.0541695 0.359391i
\(455\) −1.88288 + 4.12609i −0.0882710 + 0.193434i
\(456\) −8.56043 17.8646i −0.400879 0.836585i
\(457\) −5.71128 2.75041i −0.267162 0.128659i 0.295507 0.955340i \(-0.404511\pi\)
−0.562669 + 0.826682i \(0.690226\pi\)
\(458\) −33.0162 + 30.6346i −1.54275 + 1.43146i
\(459\) 12.2391 + 13.3457i 0.571271 + 0.622923i
\(460\) −1.77777 1.02639i −0.0828888 0.0478559i
\(461\) 20.8564 19.3519i 0.971380 0.901309i −0.0237664 0.999718i \(-0.507566\pi\)
0.995146 + 0.0984089i \(0.0313753\pi\)
\(462\) −41.7804 8.71550i −1.94380 0.405482i
\(463\) −6.86186 6.36687i −0.318897 0.295894i 0.504439 0.863447i \(-0.331699\pi\)
−0.823336 + 0.567554i \(0.807890\pi\)
\(464\) −5.71400 18.5243i −0.265266 0.859970i
\(465\) −0.451855 + 5.87643i −0.0209543 + 0.272513i
\(466\) 13.7643 + 35.0710i 0.637621 + 1.62463i
\(467\) −1.53841 1.42743i −0.0711890 0.0660538i 0.643776 0.765214i \(-0.277367\pi\)
−0.714965 + 0.699160i \(0.753557\pi\)
\(468\) −6.54794 + 9.52438i −0.302679 + 0.440264i
\(469\) 35.4374 0.733236i 1.63635 0.0338577i
\(470\) 1.58390 + 1.70704i 0.0730597 + 0.0787397i
\(471\) 0.808161 + 11.0727i 0.0372381 + 0.510201i
\(472\) 8.47088i 0.389904i
\(473\) 1.84522 0.421159i 0.0848432 0.0193649i
\(474\) 9.05995 22.9532i 0.416137 1.05428i
\(475\) 4.45582 29.5624i 0.204447 1.35642i
\(476\) −4.38019 7.23673i −0.200766 0.331695i
\(477\) 1.37107 + 0.318546i 0.0627771 + 0.0145852i
\(478\) 5.31863 + 1.64058i 0.243268 + 0.0750383i
\(479\) −27.7592 + 4.18403i −1.26835 + 0.191173i −0.748529 0.663102i \(-0.769240\pi\)
−0.519821 + 0.854275i \(0.674001\pi\)
\(480\) −3.37825 + 0.502482i −0.154195 + 0.0229351i
\(481\) 5.03553 33.4085i 0.229600 1.52330i
\(482\) −0.771454 + 10.2943i −0.0351388 + 0.468894i
\(483\) 18.7297 + 16.7363i 0.852230 + 0.761529i
\(484\) 1.28428 + 17.1375i 0.0583763 + 0.778978i
\(485\) 5.97837 + 0.448017i 0.271464 + 0.0203434i
\(486\) 26.3659 3.71257i 1.19598 0.168406i
\(487\) 16.2117 + 11.0530i 0.734623 + 0.500858i 0.871905 0.489674i \(-0.162884\pi\)
−0.137282 + 0.990532i \(0.543837\pi\)
\(488\) −1.64163 2.05854i −0.0743131 0.0931857i
\(489\) 18.3560 37.9281i 0.830089 1.71517i
\(490\) −4.84785 + 0.565751i −0.219004 + 0.0255580i
\(491\) 2.59744 + 1.49964i 0.117221 + 0.0676776i 0.557464 0.830201i \(-0.311774\pi\)
−0.440243 + 0.897879i \(0.645108\pi\)
\(492\) −3.42432 + 0.774585i −0.154380 + 0.0349210i
\(493\) 13.4920 + 1.01108i 0.607648 + 0.0455369i
\(494\) 13.0771 + 42.3950i 0.588368 + 1.90744i
\(495\) −3.74015 5.53183i −0.168107 0.248637i
\(496\) −18.0592 + 37.5002i −0.810880 + 1.68381i
\(497\) −33.6134 6.94375i −1.50777 0.311470i
\(498\) −8.47689 + 14.6168i −0.379859 + 0.654994i
\(499\) −4.30748 0.649248i −0.192829 0.0290643i 0.0519174 0.998651i \(-0.483467\pi\)
−0.244747 + 0.969587i \(0.578705\pi\)
\(500\) −3.31805 1.59789i −0.148388 0.0714598i
\(501\) −1.12846 + 0.255260i −0.0504161 + 0.0114042i
\(502\) −27.8745 + 6.36217i −1.24410 + 0.283958i
\(503\) 21.1968 + 26.5800i 0.945119 + 1.18514i 0.982579 + 0.185844i \(0.0595018\pi\)
−0.0374603 + 0.999298i \(0.511927\pi\)
\(504\) 14.6517 + 0.850687i 0.652638 + 0.0378926i
\(505\) −2.47723 + 3.10634i −0.110235 + 0.138230i
\(506\) 22.1492 45.9933i 0.984653 2.04465i
\(507\) −5.47112 + 5.87355i −0.242981 + 0.260853i
\(508\) 18.8185 0.834936
\(509\) 3.72108 + 6.44510i 0.164934 + 0.285674i 0.936632 0.350315i \(-0.113926\pi\)
−0.771698 + 0.635989i \(0.780592\pi\)
\(510\) 0.944473 4.10128i 0.0418219 0.181608i
\(511\) −3.88583 + 29.9762i −0.171899 + 1.32607i
\(512\) −5.51277 1.25825i −0.243632 0.0556075i
\(513\) 16.2321 27.7403i 0.716663 1.22476i
\(514\) −4.16000 + 27.5998i −0.183490 + 1.21738i
\(515\) 0.0272255 0.0106852i 0.00119970 0.000470848i
\(516\) 0.513844 0.200518i 0.0226207 0.00882732i
\(517\) −12.3865 + 13.3495i −0.544758 + 0.587109i
\(518\) 33.5632 13.9806i 1.47468 0.614271i
\(519\) 7.58227 + 24.7517i 0.332825 + 1.08648i
\(520\) −3.16967 −0.138999
\(521\) −0.765843 1.32648i −0.0335522 0.0581141i 0.848762 0.528776i \(-0.177349\pi\)
−0.882314 + 0.470661i \(0.844015\pi\)
\(522\) 12.4641 15.5055i 0.545538 0.678659i
\(523\) −23.8790 35.0241i −1.04416 1.53150i −0.832401 0.554174i \(-0.813034\pi\)
−0.211756 0.977323i \(-0.567918\pi\)
\(524\) 3.25589 + 0.490746i 0.142234 + 0.0214383i
\(525\) 17.5728 + 13.4828i 0.766940 + 0.588437i
\(526\) 1.53649 0.231588i 0.0669941 0.0100977i
\(527\) −19.7586 21.2947i −0.860698 0.927612i
\(528\) −10.4042 45.9953i −0.452784 2.00169i
\(529\) −5.81930 + 3.96753i −0.253013 + 0.172501i
\(530\) −0.119520 0.304533i −0.00519164 0.0132281i
\(531\) 11.3855 7.69791i 0.494089 0.334061i
\(532\) −9.98240 + 11.2151i −0.432792 + 0.486236i
\(533\) −9.25184 + 0.693330i −0.400742 + 0.0300314i
\(534\) 33.6846 + 0.0654128i 1.45768 + 0.00283069i
\(535\) −6.38389 1.45708i −0.276000 0.0629951i
\(536\) 10.7480 + 22.3185i 0.464243 + 0.964010i
\(537\) 10.5232 + 3.26838i 0.454110 + 0.141041i
\(538\) −28.1031 + 16.2253i −1.21161 + 0.699523i
\(539\) −7.24509 37.4749i −0.312068 1.61416i
\(540\) −1.31532 1.43424i −0.0566022 0.0617199i
\(541\) 15.0540 2.26902i 0.647222 0.0975530i 0.182776 0.983155i \(-0.441492\pi\)
0.464446 + 0.885602i \(0.346254\pi\)
\(542\) −0.0156011 + 0.208183i −0.000670126 + 0.00894221i
\(543\) −21.2362 3.24303i −0.911332 0.139172i
\(544\) 9.48292 13.9089i 0.406577 0.596339i
\(545\) −1.63182 + 1.11256i −0.0698994 + 0.0476566i
\(546\) −32.1767 6.71215i −1.37704 0.287254i
\(547\) −13.2027 9.00145i −0.564507 0.384874i 0.247178 0.968970i \(-0.420497\pi\)
−0.811685 + 0.584096i \(0.801449\pi\)
\(548\) 14.6018 5.73079i 0.623759 0.244807i
\(549\) 1.27500 4.07717i 0.0544159 0.174010i
\(550\) 16.4460 41.9037i 0.701260 1.78678i
\(551\) −5.34368 23.4122i −0.227649 0.997394i
\(552\) −5.20676 + 16.7642i −0.221614 + 0.713534i
\(553\) 22.0637 0.456519i 0.938243 0.0194132i
\(554\) 7.36634 2.89107i 0.312966 0.122830i
\(555\) 5.29129 + 2.08855i 0.224603 + 0.0886539i
\(556\) −0.615577 + 1.99565i −0.0261063 + 0.0846345i
\(557\) −1.51734 + 0.876036i −0.0642917 + 0.0371188i −0.531801 0.846869i \(-0.678485\pi\)
0.467510 + 0.883988i \(0.345151\pi\)
\(558\) −42.2613 + 6.20210i −1.78906 + 0.262556i
\(559\) 1.42108 0.324351i 0.0601051 0.0137186i
\(560\) −2.79243 4.61351i −0.118002 0.194957i
\(561\) 32.5354 + 4.96855i 1.37364 + 0.209772i
\(562\) −20.9028 + 6.44766i −0.881732 + 0.271978i
\(563\) −6.47596 + 8.12060i −0.272929 + 0.342243i −0.899339 0.437251i \(-0.855952\pi\)
0.626410 + 0.779494i \(0.284524\pi\)
\(564\) −2.99815 + 4.37919i −0.126245 + 0.184397i
\(565\) −0.633399 0.144569i −0.0266473 0.00608208i
\(566\) 2.52041 11.0426i 0.105941 0.464157i
\(567\) 12.1713 + 20.4660i 0.511147 + 0.859493i
\(568\) −5.33773 23.3861i −0.223966 0.981259i
\(569\) 2.39819i 0.100537i 0.998736 + 0.0502686i \(0.0160077\pi\)
−0.998736 + 0.0502686i \(0.983992\pi\)
\(570\) −7.45014 + 0.543764i −0.312052 + 0.0227758i
\(571\) 2.10235 + 9.21099i 0.0879805 + 0.385468i 0.999677 0.0253954i \(-0.00808449\pi\)
−0.911697 + 0.410863i \(0.865227\pi\)
\(572\) 1.56989 + 20.9488i 0.0656406 + 0.875913i
\(573\) 25.4216 + 17.4045i 1.06200 + 0.727085i
\(574\) −5.79378 8.13126i −0.241828 0.339392i
\(575\) −20.7126 + 16.5178i −0.863776 + 0.688838i
\(576\) 1.88334 + 4.85403i 0.0784726 + 0.202251i
\(577\) −22.0090 8.63790i −0.916247 0.359600i −0.140089 0.990139i \(-0.544739\pi\)
−0.776158 + 0.630539i \(0.782834\pi\)
\(578\) −4.67184 6.85233i −0.194323 0.285019i
\(579\) 5.81764 8.49741i 0.241773 0.353140i
\(580\) −1.44996 0.108660i −0.0602064 0.00451184i
\(581\) −14.9857 1.94260i −0.621711 0.0805927i
\(582\) 6.39222 + 42.9757i 0.264966 + 1.78140i
\(583\) 2.30502 1.11004i 0.0954643 0.0459732i
\(584\) −20.1864 + 6.22667i −0.835318 + 0.257662i
\(585\) −2.88044 4.26028i −0.119091 0.176141i
\(586\) −4.45065 29.5282i −0.183855 1.21980i
\(587\) 20.7873 + 36.0047i 0.857985 + 1.48607i 0.873848 + 0.486200i \(0.161617\pi\)
−0.0158627 + 0.999874i \(0.505049\pi\)
\(588\) −3.69523 10.4918i −0.152389 0.432676i
\(589\) −25.7801 + 44.6525i −1.06225 + 1.83988i
\(590\) −2.97345 1.16699i −0.122415 0.0480443i
\(591\) −15.8437 27.5656i −0.651723 1.13390i
\(592\) 29.4488 + 27.3245i 1.21034 + 1.12303i
\(593\) −2.57332 + 34.3385i −0.105673 + 1.41011i 0.652365 + 0.757905i \(0.273777\pi\)
−0.758039 + 0.652210i \(0.773842\pi\)
\(594\) 33.1226 35.2832i 1.35904 1.44769i
\(595\) 3.70936 0.637835i 0.152069 0.0261487i
\(596\) 1.00062 1.46764i 0.0409871 0.0601170i
\(597\) 1.26689 16.4760i 0.0518502 0.674319i
\(598\) 17.0580 35.4213i 0.697553 1.44848i
\(599\) −21.8348 + 17.4127i −0.892146 + 0.711463i −0.958123 0.286358i \(-0.907555\pi\)
0.0659762 + 0.997821i \(0.478984\pi\)
\(600\) −3.47382 + 15.0847i −0.141818 + 0.615831i
\(601\) 11.1422 + 4.37299i 0.454500 + 0.178378i 0.581537 0.813520i \(-0.302452\pi\)
−0.127037 + 0.991898i \(0.540547\pi\)
\(602\) 1.09049 + 1.12756i 0.0444449 + 0.0459558i
\(603\) −20.2305 + 34.7280i −0.823849 + 1.41423i
\(604\) −3.79223 + 2.58550i −0.154304 + 0.105202i
\(605\) −7.30684 2.25386i −0.297065 0.0916325i
\(606\) −25.9188 12.5439i −1.05288 0.509561i
\(607\) 21.3356 12.3181i 0.865986 0.499977i −2.61832e−5 1.00000i \(-0.500008\pi\)
0.866012 + 0.500023i \(0.166675\pi\)
\(608\) −28.5515 8.80697i −1.15792 0.357170i
\(609\) 17.0963 + 4.92451i 0.692777 + 0.199551i
\(610\) −0.948748 + 0.292650i −0.0384137 + 0.0118490i
\(611\) −9.53933 + 10.2810i −0.385920 + 0.415923i
\(612\) 9.59165 + 0.0372525i 0.387719 + 0.00150584i
\(613\) −3.76057 0.566815i −0.151888 0.0228935i 0.0726580 0.997357i \(-0.476852\pi\)
−0.224546 + 0.974463i \(0.572090\pi\)
\(614\) −5.16921 + 22.6478i −0.208612 + 0.913990i
\(615\) 0.235820 1.54421i 0.00950917 0.0622685i
\(616\) 21.7245 15.4794i 0.875305 0.623682i
\(617\) −2.97371 + 9.64052i −0.119717 + 0.388113i −0.995519 0.0945569i \(-0.969857\pi\)
0.875803 + 0.482669i \(0.160333\pi\)
\(618\) 0.119063 + 0.175364i 0.00478942 + 0.00705419i
\(619\) 1.79254 + 1.03492i 0.0720483 + 0.0415971i 0.535591 0.844477i \(-0.320089\pi\)
−0.463543 + 0.886074i \(0.653422\pi\)
\(620\) 2.12343 + 2.28851i 0.0852788 + 0.0919087i
\(621\) −27.2641 + 8.23621i −1.09407 + 0.330508i
\(622\) 25.2878 + 20.1664i 1.01395 + 0.808598i
\(623\) 11.5834 + 27.8084i 0.464081 + 1.11412i
\(624\) −8.01267 35.4228i −0.320764 1.41804i
\(625\) −16.5143 + 15.3231i −0.660574 + 0.612923i
\(626\) 10.4474 + 13.1006i 0.417563 + 0.523607i
\(627\) −8.59443 57.7814i −0.343228 2.30757i
\(628\) 4.59772 + 3.66656i 0.183469 + 0.146312i
\(629\) −25.2613 + 12.1652i −1.00723 + 0.485058i
\(630\) 2.31710 5.02584i 0.0923154 0.200234i
\(631\) 10.2669 + 4.94426i 0.408718 + 0.196828i 0.626934 0.779072i \(-0.284310\pi\)
−0.218216 + 0.975900i \(0.570024\pi\)
\(632\) 6.69181 + 13.8957i 0.266186 + 0.552740i
\(633\) −4.47349 3.58172i −0.177805 0.142361i
\(634\) 20.1114 9.68514i 0.798726 0.384646i
\(635\) −3.05904 + 7.79431i −0.121394 + 0.309308i
\(636\) 0.616850 0.418809i 0.0244597 0.0166069i
\(637\) −5.57973 28.8609i −0.221077 1.14351i
\(638\) 36.1588i 1.43154i
\(639\) 26.5821 28.4264i 1.05157 1.12453i
\(640\) 2.90328 4.25834i 0.114762 0.168326i
\(641\) −28.6133 + 30.8378i −1.13016 + 1.21802i −0.157069 + 0.987588i \(0.550205\pi\)
−0.973088 + 0.230432i \(0.925986\pi\)
\(642\) 0.0921550 47.4557i 0.00363707 1.87293i
\(643\) −22.2542 32.6409i −0.877619 1.28723i −0.956912 0.290379i \(-0.906219\pi\)
0.0792932 0.996851i \(-0.474734\pi\)
\(644\) 13.2441 1.26851i 0.521892 0.0499863i
\(645\) −0.000476587 0.245421i −1.87656e−5 0.00966343i
\(646\) 22.9557 28.7856i 0.903181 1.13255i
\(647\) −1.48166 19.7713i −0.0582499 0.777291i −0.947477 0.319824i \(-0.896376\pi\)
0.889227 0.457466i \(-0.151243\pi\)
\(648\) −9.48097 + 13.6766i −0.372448 + 0.537266i
\(649\) 7.36296 23.8701i 0.289021 0.936984i
\(650\) 12.6657 32.2717i 0.496790 1.26580i
\(651\) −19.7164 32.7178i −0.772748 1.28231i
\(652\) −8.15420 20.7766i −0.319343 0.813673i
\(653\) −6.40332 + 0.479863i −0.250581 + 0.0187785i −0.199429 0.979912i \(-0.563909\pi\)
−0.0511528 + 0.998691i \(0.516290\pi\)
\(654\) −10.4735 9.75593i −0.409547 0.381487i
\(655\) −0.732520 + 1.26876i −0.0286219 + 0.0495746i
\(656\) 5.51585 9.55373i 0.215358 0.373010i
\(657\) −26.7135 21.4736i −1.04219 0.837763i
\(658\) −14.7807 3.05336i −0.576213 0.119032i
\(659\) −1.95317 6.33202i −0.0760847 0.246660i 0.909538 0.415620i \(-0.136435\pi\)
−0.985623 + 0.168960i \(0.945959\pi\)
\(660\) −3.49652 0.533963i −0.136102 0.0207845i
\(661\) 6.14531 + 4.90072i 0.239025 + 0.190616i 0.735675 0.677335i \(-0.236865\pi\)
−0.496650 + 0.867951i \(0.665437\pi\)
\(662\) 20.9731 + 16.7255i 0.815143 + 0.650055i
\(663\) 25.0568 + 3.82648i 0.973124 + 0.148608i
\(664\) −3.11283 10.0916i −0.120801 0.391628i
\(665\) −3.02242 5.95762i −0.117204 0.231026i
\(666\) −6.30281 + 40.7421i −0.244229 + 1.57872i
\(667\) −10.6400 + 18.4291i −0.411984 + 0.713577i
\(668\) −0.306420 + 0.530736i −0.0118558 + 0.0205348i
\(669\) 15.6957 + 14.6203i 0.606829 + 0.565252i
\(670\) 9.31492 0.698057i 0.359867 0.0269683i
\(671\) −2.83666 7.22769i −0.109508 0.279022i
\(672\) 15.9420 15.3581i 0.614976 0.592450i
\(673\) −6.29073 + 16.0285i −0.242490 + 0.617854i −0.999362 0.0357086i \(-0.988631\pi\)
0.756872 + 0.653563i \(0.226726\pi\)
\(674\) −16.8374 + 54.5856i −0.648553 + 2.10256i
\(675\) −23.4318 + 9.03914i −0.901892 + 0.347917i
\(676\) 0.317738 + 4.23992i 0.0122207 + 0.163074i
\(677\) 24.4669 30.6805i 0.940340 1.17915i −0.0433104 0.999062i \(-0.513790\pi\)
0.983651 0.180088i \(-0.0576381\pi\)
\(678\) 0.00914347 4.70848i 0.000351153 0.180828i
\(679\) −33.2414 + 20.1201i −1.27569 + 0.772138i
\(680\) 1.48177 + 2.17336i 0.0568232 + 0.0833444i
\(681\) −0.0152497 + 7.85291i −0.000584370 + 0.300924i
\(682\) −52.8054 + 56.9107i −2.02202 + 2.17922i
\(683\) −22.9053 + 33.5959i −0.876447 + 1.28551i 0.0809452 + 0.996719i \(0.474206\pi\)
−0.957392 + 0.288792i \(0.906746\pi\)
\(684\) −4.95485 16.2875i −0.189453 0.622770i
\(685\) 6.97940i 0.266669i
\(686\) 23.4612 21.2193i 0.895754 0.810156i
\(687\) 37.7860 25.6547i 1.44163 0.978788i
\(688\) −0.633200 + 1.61337i −0.0241405 + 0.0615091i
\(689\) 1.77519 0.854886i 0.0676293 0.0325685i
\(690\) 5.16727 + 4.13720i 0.196715 + 0.157501i
\(691\) 1.06597 + 2.21352i 0.0405516 + 0.0842062i 0.920260 0.391307i \(-0.127977\pi\)
−0.879709 + 0.475513i \(0.842263\pi\)
\(692\) 12.3542 + 5.94948i 0.469637 + 0.226165i
\(693\) 40.5476 + 15.1325i 1.54028 + 0.574837i
\(694\) 18.4329 8.87680i 0.699702 0.336959i
\(695\) −0.726501 0.579365i −0.0275578 0.0219766i
\(696\) 1.82931 + 12.2987i 0.0693397 + 0.466180i
\(697\) 4.80048 + 6.01961i 0.181831 + 0.228009i
\(698\) −14.0273 + 13.0154i −0.530940 + 0.492640i
\(699\) −8.42897 37.2631i −0.318813 1.40942i
\(700\) 11.5626 1.98822i 0.437025 0.0751478i
\(701\) 2.13883 + 1.70566i 0.0807825 + 0.0644219i 0.663048 0.748577i \(-0.269262\pi\)
−0.582266 + 0.812998i \(0.697834\pi\)
\(702\) 25.5090 27.1730i 0.962776 1.02558i
\(703\) 33.8488 + 36.4804i 1.27663 + 1.37588i
\(704\) 8.19545 + 4.73165i 0.308878 + 0.178331i
\(705\) −1.32642 1.95365i −0.0499560 0.0735785i
\(706\) −8.45002 + 27.3943i −0.318021 + 1.03100i
\(707\) 1.39277 25.7136i 0.0523804 0.967059i
\(708\) 1.09899 7.19648i 0.0413026 0.270460i
\(709\) 3.74676 16.4156i 0.140712 0.616501i −0.854558 0.519356i \(-0.826172\pi\)
0.995270 0.0971451i \(-0.0309711\pi\)
\(710\) −8.94434 1.34814i −0.335675 0.0505949i
\(711\) −12.5957 + 21.6220i −0.472375 + 0.810888i
\(712\) −14.3198 + 15.4331i −0.536658 + 0.578379i
\(713\) 43.6599 13.4673i 1.63508 0.504354i
\(714\) 10.4398 + 25.2005i 0.390698 + 0.943105i
\(715\) −8.93184 2.75511i −0.334032 0.103035i
\(716\) 5.05476 2.91837i 0.188905 0.109064i
\(717\) −5.08039 2.45875i −0.189731 0.0918237i
\(718\) −5.12801 1.58178i −0.191375 0.0590315i
\(719\) 4.92438 3.35738i 0.183648 0.125209i −0.468006 0.883725i \(-0.655028\pi\)
0.651655 + 0.758516i \(0.274075\pi\)
\(720\) 6.11480 + 0.0237490i 0.227885 + 0.000885072i
\(721\) −0.103520 + 0.158798i −0.00385530 + 0.00591394i
\(722\) −30.6221 12.0183i −1.13964 0.447275i
\(723\) 2.34921 10.2012i 0.0873682 0.379388i
\(724\) −8.89651 + 7.09473i −0.330636 + 0.263674i
\(725\) −8.14186 + 16.9067i −0.302381 + 0.627901i
\(726\) 4.24861 55.2537i 0.157681 2.05066i
\(727\) −0.716708 + 1.05122i −0.0265812 + 0.0389875i −0.839299 0.543669i \(-0.817035\pi\)
0.812718 + 0.582657i \(0.197987\pi\)
\(728\) 16.7309 11.9213i 0.620088 0.441832i
\(729\) −26.9982 0.314583i −0.999932 0.0116512i
\(730\) −0.595293 + 7.94364i −0.0220328 + 0.294007i
\(731\) −0.886727 0.822762i −0.0327968 0.0304310i
\(732\) −1.12759 1.96182i −0.0416768 0.0725111i
\(733\) −0.896626 0.351900i −0.0331176 0.0129977i 0.348724 0.937225i \(-0.386615\pi\)
−0.381842 + 0.924228i \(0.624710\pi\)
\(734\) 19.3256 33.4729i 0.713321 1.23551i
\(735\) 4.94622 + 0.174999i 0.182444 + 0.00645495i
\(736\) 13.2385 + 22.9298i 0.487978 + 0.845202i
\(737\) 10.8875 + 72.2335i 0.401044 + 2.66076i
\(738\) 11.2926 0.802173i 0.415687 0.0295284i
\(739\) −25.1533 + 7.75878i −0.925281 + 0.285411i −0.720547 0.693406i \(-0.756109\pi\)
−0.204734 + 0.978818i \(0.565633\pi\)
\(740\) 2.71479 1.30738i 0.0997978 0.0480601i
\(741\) −6.61891 44.4998i −0.243152 1.63474i
\(742\) 1.77624 + 1.15793i 0.0652079 + 0.0425091i
\(743\) 35.8448 + 2.68620i 1.31502 + 0.0985471i 0.713694 0.700457i \(-0.247021\pi\)
0.601325 + 0.799004i \(0.294640\pi\)
\(744\) 15.0815 22.0285i 0.552915 0.807603i
\(745\) 0.445218 + 0.653014i 0.0163115 + 0.0239246i
\(746\) −22.7847 8.94234i −0.834208 0.327402i
\(747\) 10.7350 13.3546i 0.392775 0.488619i
\(748\) 13.6301 10.8696i 0.498366 0.397433i
\(749\) 39.1771 16.3190i 1.43150 0.596283i
\(750\) 9.79898 + 6.70874i 0.357808 + 0.244969i
\(751\) 0.137791 + 1.83869i 0.00502807 + 0.0670949i 0.999153 0.0411403i \(-0.0130991\pi\)
−0.994125 + 0.108235i \(0.965480\pi\)
\(752\) −3.71080 16.2581i −0.135319 0.592871i
\(753\) 28.9161 2.11050i 1.05376 0.0769109i
\(754\) 27.8473i 1.01414i
\(755\) −0.454425 1.99096i −0.0165382 0.0724586i
\(756\) 12.3370 + 2.62358i 0.448694 + 0.0954186i
\(757\) −10.4833 + 45.9301i −0.381020 + 1.66936i 0.313270 + 0.949664i \(0.398575\pi\)
−0.694291 + 0.719695i \(0.744282\pi\)
\(758\) −29.0296 6.62582i −1.05440 0.240660i
\(759\) −29.2438 + 42.7143i −1.06148 + 1.55043i
\(760\) 2.91094 3.65020i 0.105591 0.132407i
\(761\) −41.3720 + 12.7616i −1.49973 + 0.462607i −0.932567 0.360996i \(-0.882437\pi\)
−0.567167 + 0.823603i \(0.691961\pi\)
\(762\) −59.9870 9.16076i −2.17310 0.331859i
\(763\) 4.42907 12.0099i 0.160343 0.434787i
\(764\) 15.9100 3.63135i 0.575603 0.131378i
\(765\) −1.57460 + 3.96665i −0.0569298 + 0.143414i
\(766\) 28.5922 16.5077i 1.03308 0.596448i
\(767\) 5.67050 18.3833i 0.204750 0.663783i
\(768\) 29.1510 + 11.5063i 1.05190 + 0.415198i
\(769\) 15.4189 6.05145i 0.556018 0.218221i −0.0706584 0.997501i \(-0.522510\pi\)
0.626676 + 0.779280i \(0.284415\pi\)
\(770\) −2.44069 9.75825i −0.0879564 0.351663i
\(771\) 8.39516 27.0300i 0.302344 0.973461i
\(772\) −1.21381 5.31807i −0.0436861