Properties

Label 547.2.o.a.4.2
Level $547$
Weight $2$
Character 547.4
Analytic conductor $4.368$
Analytic rank $0$
Dimension $6480$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.2
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.62113 - 0.0301644i) q^{2} +(0.701785 - 3.07472i) q^{3} +(4.86994 + 0.112103i) q^{4} +(-0.110921 + 0.208419i) q^{5} +(-1.93222 + 8.03808i) q^{6} +(0.862757 + 2.12600i) q^{7} +(-7.52187 - 0.259781i) q^{8} +(-6.25851 - 3.01394i) q^{9} +O(q^{10})\) \(q+(-2.62113 - 0.0301644i) q^{2} +(0.701785 - 3.07472i) q^{3} +(4.86994 + 0.112103i) q^{4} +(-0.110921 + 0.208419i) q^{5} +(-1.93222 + 8.03808i) q^{6} +(0.862757 + 2.12600i) q^{7} +(-7.52187 - 0.259781i) q^{8} +(-6.25851 - 3.01394i) q^{9} +(0.297025 - 0.542947i) q^{10} +(3.18255 + 3.31339i) q^{11} +(3.76234 - 14.8950i) q^{12} +(5.32326 + 0.802352i) q^{13} +(-2.19727 - 5.59855i) q^{14} +(0.562988 + 0.487317i) q^{15} +(9.97582 + 0.459518i) q^{16} +(-1.27089 + 7.54566i) q^{17} +(16.3135 + 8.08871i) q^{18} +(5.04957 - 2.72479i) q^{19} +(-0.563543 + 1.00255i) q^{20} +(7.14233 - 1.16074i) q^{21} +(-8.24193 - 8.78082i) q^{22} +(1.24406 + 0.291490i) q^{23} +(-6.07749 + 22.9454i) q^{24} +(2.76165 + 4.10110i) q^{25} +(-13.9287 - 2.26364i) q^{26} +(-7.76009 + 9.73084i) q^{27} +(3.96324 + 10.4502i) q^{28} +(2.03769 + 1.16088i) q^{29} +(-1.46097 - 1.29430i) q^{30} +(-2.72256 - 0.979119i) q^{31} +(-11.1063 - 0.639742i) q^{32} +(12.4212 - 7.46018i) q^{33} +(3.55879 - 19.7398i) q^{34} +(-0.538797 - 0.0560030i) q^{35} +(-30.1407 - 15.3793i) q^{36} +(-6.89226 + 5.56157i) q^{37} +(-13.3178 + 6.98970i) q^{38} +(6.20279 - 15.8045i) q^{39} +(0.888476 - 1.53889i) q^{40} +(-2.45773 - 4.25691i) q^{41} +(-18.7560 + 2.82701i) q^{42} +(-0.373873 + 3.81005i) q^{43} +(15.1274 + 16.4928i) q^{44} +(1.32236 - 0.970084i) q^{45} +(-3.25205 - 0.801559i) q^{46} +(5.04081 - 0.406936i) q^{47} +(8.41378 - 30.3504i) q^{48} +(1.24490 - 1.20959i) q^{49} +(-7.11493 - 10.8328i) q^{50} +(22.3089 + 9.20308i) q^{51} +(25.8340 + 4.50416i) q^{52} +(-11.0037 + 3.81488i) q^{53} +(20.6337 - 25.2717i) q^{54} +(-1.04358 + 0.295780i) q^{55} +(-5.93725 - 16.2156i) q^{56} +(-4.83425 - 17.4382i) q^{57} +(-5.30604 - 3.10429i) q^{58} +(3.10249 - 1.32185i) q^{59} +(2.68709 + 2.43631i) q^{60} +(-2.24583 + 1.04987i) q^{61} +(7.10663 + 2.64852i) q^{62} +(1.00807 - 15.9059i) q^{63} +(9.16643 + 0.633913i) q^{64} +(-0.757686 + 1.02047i) q^{65} +(-32.7826 + 19.1794i) q^{66} +(-3.63040 - 3.52743i) q^{67} +(-7.03507 + 36.6044i) q^{68} +(1.76932 - 3.62058i) q^{69} +(1.41057 + 0.163044i) q^{70} +(4.44354 - 0.880552i) q^{71} +(46.2928 + 24.2963i) q^{72} +(5.03032 - 4.35419i) q^{73} +(18.2333 - 14.3697i) q^{74} +(14.5478 - 5.61321i) q^{75} +(24.8965 - 12.7035i) q^{76} +(-4.29850 + 9.62476i) q^{77} +(-16.7351 + 41.2384i) q^{78} +(2.45248 + 1.75609i) q^{79} +(-1.20230 + 2.02818i) q^{80} +(11.4807 + 14.3963i) q^{81} +(6.31361 + 11.2320i) q^{82} +(-14.5764 - 9.21756i) q^{83} +(34.9128 - 4.85207i) q^{84} +(-1.43169 - 1.10185i) q^{85} +(1.09490 - 9.97534i) q^{86} +(4.99942 - 5.45066i) q^{87} +(-23.0780 - 25.7496i) q^{88} +(-0.865787 - 10.0065i) q^{89} +(-3.49535 + 2.50283i) q^{90} +(2.88688 + 12.0095i) q^{91} +(6.02582 + 1.55900i) q^{92} +(-4.92117 + 7.68397i) q^{93} +(-13.2249 + 0.914579i) q^{94} +(0.00779458 + 1.35466i) q^{95} +(-9.76124 + 33.6997i) q^{96} +(0.351101 + 2.63755i) q^{97} +(-3.29954 + 3.13295i) q^{98} +(-9.93169 - 30.3289i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.62113 0.0301644i −1.85342 0.0213295i −0.922387 0.386268i \(-0.873764\pi\)
−0.931032 + 0.364939i \(0.881090\pi\)
\(3\) 0.701785 3.07472i 0.405176 1.77519i −0.200720 0.979649i \(-0.564328\pi\)
0.605896 0.795544i \(-0.292815\pi\)
\(4\) 4.86994 + 0.112103i 2.43497 + 0.0560515i
\(5\) −0.110921 + 0.208419i −0.0496054 + 0.0932078i −0.906339 0.422551i \(-0.861135\pi\)
0.856734 + 0.515759i \(0.172490\pi\)
\(6\) −1.93222 + 8.03808i −0.788824 + 3.28153i
\(7\) 0.862757 + 2.12600i 0.326092 + 0.803553i 0.998018 + 0.0629347i \(0.0200460\pi\)
−0.671926 + 0.740618i \(0.734533\pi\)
\(8\) −7.52187 0.259781i −2.65938 0.0918464i
\(9\) −6.25851 3.01394i −2.08617 1.00465i
\(10\) 0.297025 0.542947i 0.0939275 0.171695i
\(11\) 3.18255 + 3.31339i 0.959576 + 0.999024i 1.00000 0.000158566i \(-5.04733e-5\pi\)
−0.0404244 + 0.999183i \(0.512871\pi\)
\(12\) 3.76234 14.8950i 1.08609 4.29983i
\(13\) 5.32326 + 0.802352i 1.47641 + 0.222532i 0.837366 0.546642i \(-0.184094\pi\)
0.639039 + 0.769174i \(0.279332\pi\)
\(14\) −2.19727 5.59855i −0.587245 1.49627i
\(15\) 0.562988 + 0.487317i 0.145363 + 0.125825i
\(16\) 9.97582 + 0.459518i 2.49396 + 0.114880i
\(17\) −1.27089 + 7.54566i −0.308237 + 1.83009i 0.213450 + 0.976954i \(0.431530\pi\)
−0.521687 + 0.853137i \(0.674697\pi\)
\(18\) 16.3135 + 8.08871i 3.84512 + 1.90653i
\(19\) 5.04957 2.72479i 1.15845 0.625109i 0.221702 0.975114i \(-0.428839\pi\)
0.936748 + 0.350006i \(0.113820\pi\)
\(20\) −0.563543 + 1.00255i −0.126012 + 0.224178i
\(21\) 7.14233 1.16074i 1.55859 0.253295i
\(22\) −8.24193 8.78082i −1.75719 1.87208i
\(23\) 1.24406 + 0.291490i 0.259405 + 0.0607799i 0.355796 0.934564i \(-0.384210\pi\)
−0.0963912 + 0.995344i \(0.530730\pi\)
\(24\) −6.07749 + 22.9454i −1.24056 + 4.68370i
\(25\) 2.76165 + 4.10110i 0.552330 + 0.820219i
\(26\) −13.9287 2.26364i −2.73165 0.443936i
\(27\) −7.76009 + 9.73084i −1.49343 + 1.87270i
\(28\) 3.96324 + 10.4502i 0.748982 + 1.97490i
\(29\) 2.03769 + 1.16088i 0.378390 + 0.215570i 0.672327 0.740255i \(-0.265295\pi\)
−0.293936 + 0.955825i \(0.594965\pi\)
\(30\) −1.46097 1.29430i −0.266735 0.236306i
\(31\) −2.72256 0.979119i −0.488985 0.175855i 0.0822981 0.996608i \(-0.473774\pi\)
−0.571283 + 0.820753i \(0.693554\pi\)
\(32\) −11.1063 0.639742i −1.96333 0.113091i
\(33\) 12.4212 7.46018i 2.16226 1.29865i
\(34\) 3.55879 19.7398i 0.610327 3.38535i
\(35\) −0.538797 0.0560030i −0.0910733 0.00946624i
\(36\) −30.1407 15.3793i −5.02345 2.56322i
\(37\) −6.89226 + 5.56157i −1.13308 + 0.914316i −0.997078 0.0763923i \(-0.975660\pi\)
−0.136002 + 0.990709i \(0.543425\pi\)
\(38\) −13.3178 + 6.98970i −2.16043 + 1.13388i
\(39\) 6.20279 15.8045i 0.993242 2.53074i
\(40\) 0.888476 1.53889i 0.140480 0.243319i
\(41\) −2.45773 4.25691i −0.383832 0.664817i 0.607774 0.794110i \(-0.292063\pi\)
−0.991606 + 0.129293i \(0.958729\pi\)
\(42\) −18.7560 + 2.82701i −2.89411 + 0.436217i
\(43\) −0.373873 + 3.81005i −0.0570152 + 0.581027i 0.923367 + 0.383919i \(0.125426\pi\)
−0.980382 + 0.197107i \(0.936845\pi\)
\(44\) 15.1274 + 16.4928i 2.28054 + 2.48638i
\(45\) 1.32236 0.970084i 0.197126 0.144612i
\(46\) −3.25205 0.801559i −0.479489 0.118183i
\(47\) 5.04081 0.406936i 0.735277 0.0593577i 0.292845 0.956160i \(-0.405398\pi\)
0.442432 + 0.896802i \(0.354116\pi\)
\(48\) 8.41378 30.3504i 1.21442 4.38070i
\(49\) 1.24490 1.20959i 0.177843 0.172799i
\(50\) −7.11493 10.8328i −1.00620 1.53199i
\(51\) 22.3089 + 9.20308i 3.12387 + 1.28869i
\(52\) 25.8340 + 4.50416i 3.58253 + 0.624614i
\(53\) −11.0037 + 3.81488i −1.51148 + 0.524014i −0.952334 0.305056i \(-0.901325\pi\)
−0.559145 + 0.829070i \(0.688871\pi\)
\(54\) 20.6337 25.2717i 2.80789 3.43904i
\(55\) −1.04358 + 0.295780i −0.140717 + 0.0398830i
\(56\) −5.93725 16.2156i −0.793399 2.16691i
\(57\) −4.83425 17.4382i −0.640312 2.30975i
\(58\) −5.30604 3.10429i −0.696718 0.407613i
\(59\) 3.10249 1.32185i 0.403910 0.172090i −0.180451 0.983584i \(-0.557756\pi\)
0.584360 + 0.811494i \(0.301345\pi\)
\(60\) 2.68709 + 2.43631i 0.346902 + 0.314527i
\(61\) −2.24583 + 1.04987i −0.287549 + 0.134422i −0.561894 0.827209i \(-0.689927\pi\)
0.274345 + 0.961631i \(0.411539\pi\)
\(62\) 7.10663 + 2.64852i 0.902543 + 0.336362i
\(63\) 1.00807 15.9059i 0.127004 2.00396i
\(64\) 9.16643 + 0.633913i 1.14580 + 0.0792391i
\(65\) −0.757686 + 1.02047i −0.0939794 + 0.126574i
\(66\) −32.7826 + 19.1794i −4.03527 + 2.36082i
\(67\) −3.63040 3.52743i −0.443523 0.430944i 0.440952 0.897531i \(-0.354641\pi\)
−0.884475 + 0.466587i \(0.845483\pi\)
\(68\) −7.03507 + 36.6044i −0.853127 + 4.43894i
\(69\) 1.76932 3.62058i 0.213000 0.435867i
\(70\) 1.41057 + 0.163044i 0.168595 + 0.0194874i
\(71\) 4.44354 0.880552i 0.527351 0.104502i 0.0764448 0.997074i \(-0.475643\pi\)
0.450906 + 0.892571i \(0.351101\pi\)
\(72\) 46.2928 + 24.2963i 5.45565 + 2.86335i
\(73\) 5.03032 4.35419i 0.588754 0.509619i −0.308447 0.951241i \(-0.599809\pi\)
0.897201 + 0.441622i \(0.145597\pi\)
\(74\) 18.2333 14.3697i 2.11957 1.67044i
\(75\) 14.5478 5.61321i 1.67984 0.648158i
\(76\) 24.8965 12.7035i 2.85583 1.45719i
\(77\) −4.29850 + 9.62476i −0.489859 + 1.09684i
\(78\) −16.7351 + 41.2384i −1.89487 + 4.66933i
\(79\) 2.45248 + 1.75609i 0.275926 + 0.197575i 0.711706 0.702478i \(-0.247923\pi\)
−0.435780 + 0.900053i \(0.643527\pi\)
\(80\) −1.20230 + 2.02818i −0.134421 + 0.226758i
\(81\) 11.4807 + 14.3963i 1.27563 + 1.59959i
\(82\) 6.31361 + 11.2320i 0.697221 + 1.24037i
\(83\) −14.5764 9.21756i −1.59997 1.01176i −0.972437 0.233167i \(-0.925091\pi\)
−0.627532 0.778591i \(-0.715935\pi\)
\(84\) 34.9128 4.85207i 3.80930 0.529404i
\(85\) −1.43169 1.10185i −0.155289 0.119512i
\(86\) 1.09490 9.97534i 0.118066 1.07567i
\(87\) 4.99942 5.45066i 0.535994 0.584372i
\(88\) −23.0780 25.7496i −2.46012 2.74492i
\(89\) −0.865787 10.0065i −0.0917733 1.06069i −0.889276 0.457372i \(-0.848791\pi\)
0.797502 0.603316i \(-0.206154\pi\)
\(90\) −3.49535 + 2.50283i −0.368442 + 0.263821i
\(91\) 2.88688 + 12.0095i 0.302627 + 1.25894i
\(92\) 6.02582 + 1.55900i 0.628236 + 0.162537i
\(93\) −4.92117 + 7.68397i −0.510301 + 0.796791i
\(94\) −13.2249 + 0.914579i −1.36404 + 0.0943316i
\(95\) 0.00779458 + 1.35466i 0.000799707 + 0.138985i
\(96\) −9.76124 + 33.6997i −0.996252 + 3.43946i
\(97\) 0.351101 + 2.63755i 0.0356489 + 0.267803i 0.999995 + 0.00315874i \(0.00100546\pi\)
−0.964346 + 0.264644i \(0.914745\pi\)
\(98\) −3.29954 + 3.13295i −0.333303 + 0.316475i
\(99\) −9.93169 30.3289i −0.998172 3.04817i
\(100\) 12.9893 + 20.2817i 1.29893 + 2.02817i
\(101\) −2.32125 3.12632i −0.230973 0.311081i 0.672189 0.740379i \(-0.265354\pi\)
−0.903163 + 0.429299i \(0.858761\pi\)
\(102\) −58.1969 24.7954i −5.76236 2.45511i
\(103\) −2.79787 6.07594i −0.275682 0.598680i 0.719741 0.694242i \(-0.244260\pi\)
−0.995423 + 0.0955623i \(0.969535\pi\)
\(104\) −39.8324 7.41806i −3.90589 0.727401i
\(105\) −0.550314 + 1.61735i −0.0537051 + 0.157837i
\(106\) 28.9573 9.66737i 2.81258 0.938978i
\(107\) 9.27102 2.28510i 0.896263 0.220909i 0.235830 0.971794i \(-0.424219\pi\)
0.660433 + 0.750885i \(0.270373\pi\)
\(108\) −38.8820 + 46.5187i −3.74142 + 4.47626i
\(109\) −5.12271 9.89850i −0.490667 0.948105i −0.996348 0.0853843i \(-0.972788\pi\)
0.505681 0.862720i \(-0.331241\pi\)
\(110\) 2.74429 0.743800i 0.261658 0.0709185i
\(111\) 12.2634 + 25.0948i 1.16399 + 2.38189i
\(112\) 7.62978 + 21.6051i 0.720946 + 2.04149i
\(113\) −0.292685 10.1708i −0.0275335 0.956784i −0.891442 0.453135i \(-0.850305\pi\)
0.863908 0.503649i \(-0.168010\pi\)
\(114\) 12.1452 + 45.8537i 1.13750 + 4.29459i
\(115\) −0.198745 + 0.226954i −0.0185330 + 0.0211636i
\(116\) 9.79331 + 5.88186i 0.909286 + 0.546117i
\(117\) −30.8974 21.0655i −2.85647 1.94751i
\(118\) −8.17189 + 3.37115i −0.752284 + 0.310339i
\(119\) −17.1386 + 3.80815i −1.57109 + 0.349092i
\(120\) −4.10813 3.81179i −0.375019 0.347967i
\(121\) −0.406975 + 10.0990i −0.0369977 + 0.918089i
\(122\) 5.91829 2.68411i 0.535816 0.243008i
\(123\) −14.8136 + 4.56939i −1.33570 + 0.412008i
\(124\) −13.1489 5.07345i −1.18081 0.455610i
\(125\) −2.33523 + 0.242726i −0.208870 + 0.0217101i
\(126\) −3.12206 + 41.6610i −0.278135 + 3.71146i
\(127\) −0.0911458 + 0.248935i −0.00808788 + 0.0220894i −0.943014 0.332753i \(-0.892022\pi\)
0.934926 + 0.354843i \(0.115466\pi\)
\(128\) −1.83008 0.147739i −0.161758 0.0130584i
\(129\) 11.4525 + 3.82339i 1.00833 + 0.336631i
\(130\) 2.01677 2.65193i 0.176883 0.232590i
\(131\) −11.0785 2.32817i −0.967934 0.203413i −0.305216 0.952283i \(-0.598729\pi\)
−0.662717 + 0.748870i \(0.730597\pi\)
\(132\) 61.3269 34.9381i 5.33782 3.04098i
\(133\) 10.1494 + 8.38456i 0.880069 + 0.727033i
\(134\) 9.40933 + 9.35535i 0.812843 + 0.808179i
\(135\) −1.16734 2.69670i −0.100468 0.232095i
\(136\) 11.5197 56.4273i 0.987808 4.83860i
\(137\) 1.20194 0.0276679i 0.102689 0.00236383i 0.0283614 0.999598i \(-0.490971\pi\)
0.0743272 + 0.997234i \(0.476319\pi\)
\(138\) −4.74682 + 9.43664i −0.404076 + 0.803300i
\(139\) −4.84106 2.19555i −0.410613 0.186224i 0.197096 0.980384i \(-0.436849\pi\)
−0.607709 + 0.794160i \(0.707911\pi\)
\(140\) −2.61763 0.333132i −0.221230 0.0281548i
\(141\) 2.28635 15.7847i 0.192545 1.32931i
\(142\) −11.6736 + 2.17400i −0.979630 + 0.182438i
\(143\) 14.2830 + 20.1915i 1.19441 + 1.68850i
\(144\) −61.0489 32.9424i −5.08740 2.74520i
\(145\) −0.467973 + 0.295928i −0.0388631 + 0.0245755i
\(146\) −13.3164 + 11.2612i −1.10208 + 0.931980i
\(147\) −2.84551 4.67660i −0.234694 0.385720i
\(148\) −34.1883 + 26.3118i −2.81026 + 2.16282i
\(149\) 4.21060 4.28392i 0.344946 0.350952i −0.518786 0.854904i \(-0.673616\pi\)
0.863732 + 0.503952i \(0.168121\pi\)
\(150\) −38.3010 + 14.2741i −3.12727 + 1.16548i
\(151\) 4.21198 + 13.9392i 0.342766 + 1.13435i 0.942515 + 0.334165i \(0.108454\pi\)
−0.599748 + 0.800189i \(0.704733\pi\)
\(152\) −38.6900 + 19.1837i −3.13818 + 1.55600i
\(153\) 30.6961 43.3942i 2.48163 3.50821i
\(154\) 11.5572 25.0981i 0.931309 2.02246i
\(155\) 0.506055 0.458828i 0.0406473 0.0368539i
\(156\) 31.9789 76.2714i 2.56036 6.10660i
\(157\) 7.24637 + 8.66961i 0.578323 + 0.691910i 0.974018 0.226473i \(-0.0727194\pi\)
−0.395694 + 0.918382i \(0.629496\pi\)
\(158\) −6.37530 4.67691i −0.507191 0.372075i
\(159\) 4.00743 + 36.5107i 0.317810 + 2.89549i
\(160\) 1.36525 2.24380i 0.107933 0.177388i
\(161\) 0.453615 + 2.89636i 0.0357499 + 0.228265i
\(162\) −29.6580 38.0808i −2.33015 2.99191i
\(163\) −2.01415 + 6.39878i −0.157761 + 0.501191i −0.999235 0.0391062i \(-0.987549\pi\)
0.841474 + 0.540297i \(0.181688\pi\)
\(164\) −11.4918 21.0064i −0.897356 1.64032i
\(165\) 0.177070 + 3.41631i 0.0137849 + 0.265959i
\(166\) 37.9286 + 24.6001i 2.94383 + 1.90934i
\(167\) −0.117963 + 6.83322i −0.00912828 + 0.528771i 0.959699 + 0.281032i \(0.0906766\pi\)
−0.968827 + 0.247739i \(0.920312\pi\)
\(168\) −54.0253 + 6.87551i −4.16814 + 0.530457i
\(169\) 15.2708 + 4.71043i 1.17468 + 0.362341i
\(170\) 3.71941 + 2.93128i 0.285266 + 0.224819i
\(171\) −39.8151 + 1.83401i −3.04474 + 0.140250i
\(172\) −2.24786 + 18.5128i −0.171398 + 1.41159i
\(173\) 8.44606 5.61716i 0.642142 0.427064i −0.189880 0.981807i \(-0.560810\pi\)
0.832022 + 0.554743i \(0.187183\pi\)
\(174\) −13.2685 + 14.1361i −1.00588 + 1.07165i
\(175\) −6.33630 + 9.40952i −0.478979 + 0.711293i
\(176\) 30.2260 + 34.5162i 2.27837 + 2.60176i
\(177\) −1.88703 10.4669i −0.141838 0.786744i
\(178\) 1.96750 + 26.2545i 0.147470 + 1.96786i
\(179\) 22.1281 + 6.27171i 1.65393 + 0.468770i 0.966328 0.257314i \(-0.0828376\pi\)
0.687606 + 0.726084i \(0.258662\pi\)
\(180\) 6.54857 4.57601i 0.488102 0.341075i
\(181\) −2.00315 9.81210i −0.148893 0.729327i −0.983848 0.179008i \(-0.942711\pi\)
0.834954 0.550319i \(-0.185494\pi\)
\(182\) −7.20461 31.5655i −0.534042 2.33979i
\(183\) 1.65197 + 7.64210i 0.122117 + 0.564920i
\(184\) −9.28195 2.51573i −0.684274 0.185462i
\(185\) −0.394641 2.05337i −0.0290146 0.150967i
\(186\) 13.1308 19.9922i 0.962797 1.46590i
\(187\) −29.0464 + 19.8035i −2.12408 + 1.44817i
\(188\) 24.5940 1.41666i 1.79370 0.103321i
\(189\) −27.3828 8.10260i −1.99181 0.589377i
\(190\) 0.0204320 3.55098i 0.00148229 0.257615i
\(191\) 0.567049 + 8.94726i 0.0410302 + 0.647401i 0.964558 + 0.263870i \(0.0849991\pi\)
−0.923528 + 0.383531i \(0.874708\pi\)
\(192\) 8.38197 27.7394i 0.604917 2.00192i
\(193\) 0.980123 + 5.81927i 0.0705508 + 0.418880i 0.998888 + 0.0471415i \(0.0150112\pi\)
−0.928337 + 0.371739i \(0.878762\pi\)
\(194\) −0.840721 6.92396i −0.0603603 0.497111i
\(195\) 2.60593 + 3.04583i 0.186615 + 0.218116i
\(196\) 6.19820 5.75108i 0.442728 0.410792i
\(197\) −3.38631 + 4.90591i −0.241264 + 0.349532i −0.924846 0.380343i \(-0.875806\pi\)
0.683581 + 0.729874i \(0.260421\pi\)
\(198\) 25.1174 + 79.7955i 1.78501 + 5.67082i
\(199\) −7.54043 + 7.85042i −0.534527 + 0.556501i −0.932628 0.360840i \(-0.882490\pi\)
0.398101 + 0.917342i \(0.369669\pi\)
\(200\) −19.7074 31.5653i −1.39352 2.23201i
\(201\) −13.3936 + 8.68697i −0.944713 + 0.612731i
\(202\) 5.99000 + 8.26451i 0.421455 + 0.581489i
\(203\) −0.710002 + 5.33370i −0.0498324 + 0.374352i
\(204\) 107.611 + 47.3193i 7.53430 + 3.31302i
\(205\) 1.15983 0.0400568i 0.0810063 0.00279769i
\(206\) 7.15029 + 16.0102i 0.498185 + 1.11548i
\(207\) −6.90744 5.57382i −0.480100 0.387407i
\(208\) 52.7352 + 10.4503i 3.65653 + 0.724595i
\(209\) 25.0988 + 8.05940i 1.73612 + 0.557480i
\(210\) 1.49123 4.22268i 0.102905 0.291393i
\(211\) 9.01589 1.04212i 0.620680 0.0717427i 0.201264 0.979537i \(-0.435495\pi\)
0.419416 + 0.907794i \(0.362235\pi\)
\(212\) −54.0152 + 17.3447i −3.70978 + 1.19124i
\(213\) 0.410954 14.2806i 0.0281581 0.978491i
\(214\) −24.3695 + 5.70989i −1.66586 + 0.390320i
\(215\) −0.752616 0.500536i −0.0513280 0.0341363i
\(216\) 60.8983 71.1782i 4.14360 4.84306i
\(217\) −0.267297 6.63290i −0.0181453 0.450270i
\(218\) 13.1287 + 26.0998i 0.889188 + 1.76770i
\(219\) −9.85772 18.5225i −0.666123 1.25164i
\(220\) −5.11535 + 1.32344i −0.344877 + 0.0892265i
\(221\) −12.8196 + 39.1478i −0.862337 + 2.63336i
\(222\) −31.3870 66.1466i −2.10656 4.43947i
\(223\) −5.93122 7.79917i −0.397184 0.522271i 0.553326 0.832965i \(-0.313358\pi\)
−0.950510 + 0.310693i \(0.899439\pi\)
\(224\) −8.22191 24.1639i −0.549350 1.61452i
\(225\) −4.92335 33.9902i −0.328223 2.26601i
\(226\) 0.460370 + 26.6677i 0.0306234 + 1.77391i
\(227\) 6.39026 10.2353i 0.424136 0.679340i −0.565206 0.824950i \(-0.691203\pi\)
0.989342 + 0.145610i \(0.0465145\pi\)
\(228\) −21.5876 85.4650i −1.42967 5.66006i
\(229\) −2.64515 26.9560i −0.174796 1.78131i −0.531471 0.847076i \(-0.678361\pi\)
0.356675 0.934229i \(-0.383910\pi\)
\(230\) 0.527781 0.588880i 0.0348009 0.0388296i
\(231\) 26.5768 + 19.9712i 1.74863 + 1.31401i
\(232\) −15.0257 9.26136i −0.986486 0.608038i
\(233\) −4.76264 5.83317i −0.312011 0.382144i 0.594664 0.803974i \(-0.297285\pi\)
−0.906675 + 0.421831i \(0.861388\pi\)
\(234\) 80.3507 + 56.1474i 5.25269 + 3.67047i
\(235\) −0.474318 + 1.09574i −0.0309411 + 0.0714781i
\(236\) 15.2571 6.08951i 0.993153 0.396393i
\(237\) 7.12060 6.30830i 0.462533 0.409768i
\(238\) 45.0372 9.46467i 2.91933 0.613504i
\(239\) −2.18056 + 4.59544i −0.141049 + 0.297254i −0.961666 0.274225i \(-0.911579\pi\)
0.820617 + 0.571479i \(0.193630\pi\)
\(240\) 5.39234 + 5.12009i 0.348074 + 0.330500i
\(241\) 9.19383 12.6849i 0.592227 0.817106i −0.402948 0.915223i \(-0.632015\pi\)
0.995175 + 0.0981169i \(0.0312819\pi\)
\(242\) 1.37136 26.4585i 0.0881546 1.70081i
\(243\) 18.6806 8.99609i 1.19836 0.577100i
\(244\) −11.0548 + 4.86105i −0.707708 + 0.311197i
\(245\) 0.114016 + 0.393631i 0.00728425 + 0.0251481i
\(246\) 38.9662 11.5301i 2.48439 0.735134i
\(247\) 29.0664 10.4532i 1.84945 0.665121i
\(248\) 20.2244 + 8.07207i 1.28425 + 0.512577i
\(249\) −38.5709 + 38.3497i −2.44433 + 2.43031i
\(250\) 6.12827 0.565776i 0.387586 0.0357828i
\(251\) 0.856680 0.643753i 0.0540731 0.0406333i −0.573362 0.819302i \(-0.694361\pi\)
0.627435 + 0.778669i \(0.284105\pi\)
\(252\) 6.69231 77.3477i 0.421576 4.87245i
\(253\) 2.99347 + 5.04974i 0.188198 + 0.317474i
\(254\) 0.246414 0.649740i 0.0154614 0.0407683i
\(255\) −4.39262 + 3.62879i −0.275077 + 0.227244i
\(256\) −13.5064 1.24694i −0.844150 0.0779339i
\(257\) 23.1220 14.2516i 1.44231 0.888993i 0.442340 0.896848i \(-0.354149\pi\)
0.999969 + 0.00785471i \(0.00250026\pi\)
\(258\) −29.9030 10.3671i −1.86168 0.645425i
\(259\) −17.7702 9.85466i −1.10419 0.612339i
\(260\) −3.80428 + 4.88469i −0.235931 + 0.302935i
\(261\) −9.25411 13.4069i −0.572815 0.829866i
\(262\) 28.9680 + 6.43662i 1.78965 + 0.397656i
\(263\) 6.74000 1.17512i 0.415606 0.0724610i 0.0399089 0.999203i \(-0.487293\pi\)
0.375698 + 0.926742i \(0.377403\pi\)
\(264\) −95.3688 + 52.8877i −5.86955 + 3.25501i
\(265\) 0.425452 2.71654i 0.0261353 0.166876i
\(266\) −26.3501 22.2832i −1.61563 1.36627i
\(267\) −31.3748 4.36036i −1.92011 0.266850i
\(268\) −17.2844 17.5853i −1.05581 1.07419i
\(269\) 23.9700 + 11.2054i 1.46148 + 0.683205i 0.981037 0.193821i \(-0.0620883\pi\)
0.480441 + 0.877027i \(0.340477\pi\)
\(270\) 2.97840 + 7.10362i 0.181259 + 0.432313i
\(271\) 6.89089 13.3151i 0.418592 0.808836i −0.581397 0.813620i \(-0.697493\pi\)
0.999989 + 0.00478400i \(0.00152280\pi\)
\(272\) −16.1456 + 74.6902i −0.978970 + 4.52876i
\(273\) 38.9518 0.448264i 2.35747 0.0271302i
\(274\) −3.15127 + 0.0362654i −0.190375 + 0.00219087i
\(275\) −4.79943 + 22.2024i −0.289416 + 1.33885i
\(276\) 9.02233 17.4337i 0.543081 1.04938i
\(277\) 3.96072 + 9.44651i 0.237976 + 0.567586i 0.996456 0.0841106i \(-0.0268049\pi\)
−0.758480 + 0.651696i \(0.774058\pi\)
\(278\) 12.6228 + 5.90086i 0.757066 + 0.353910i
\(279\) 14.0881 + 14.3334i 0.843435 + 0.858121i
\(280\) 4.03821 + 0.561217i 0.241329 + 0.0335391i
\(281\) −10.9127 9.22837i −0.650995 0.550519i 0.258616 0.965980i \(-0.416734\pi\)
−0.909611 + 0.415462i \(0.863620\pi\)
\(282\) −6.46895 + 41.3047i −0.385220 + 2.45966i
\(283\) −15.7861 + 8.75435i −0.938388 + 0.520392i −0.878463 0.477811i \(-0.841430\pi\)
−0.0599249 + 0.998203i \(0.519086\pi\)
\(284\) 21.7385 3.79010i 1.28994 0.224901i
\(285\) 4.17068 + 0.926716i 0.247050 + 0.0548939i
\(286\) −36.8286 53.3555i −2.17772 3.15497i
\(287\) 6.92977 8.89780i 0.409051 0.525221i
\(288\) 67.5805 + 37.4774i 3.98222 + 2.20838i
\(289\) −39.2597 13.6109i −2.30939 0.800642i
\(290\) 1.23554 0.761550i 0.0725537 0.0447198i
\(291\) 8.35615 + 0.771459i 0.489846 + 0.0452237i
\(292\) 24.9854 20.6407i 1.46216 1.20791i
\(293\) 8.51236 22.4453i 0.497298 1.31127i −0.417985 0.908454i \(-0.637264\pi\)
0.915283 0.402812i \(-0.131967\pi\)
\(294\) 7.31738 + 12.3438i 0.426758 + 0.719906i
\(295\) −0.0686329 + 0.793238i −0.00399596 + 0.0461841i
\(296\) 53.2875 40.0429i 3.09727 2.32745i
\(297\) −56.9389 + 5.25673i −3.30393 + 0.305027i
\(298\) −11.1658 + 11.1017i −0.646815 + 0.643104i
\(299\) 6.38858 + 2.54985i 0.369461 + 0.147462i
\(300\) 71.4762 25.7052i 4.12668 1.48409i
\(301\) −8.42272 + 2.49229i −0.485478 + 0.143653i
\(302\) −10.6197 36.6634i −0.611094 2.10974i
\(303\) −11.2416 + 4.94320i −0.645813 + 0.283980i
\(304\) 51.6257 24.8616i 2.96094 1.42591i
\(305\) 0.0302965 0.584527i 0.00173477 0.0334699i
\(306\) −81.7673 + 112.816i −4.67433 + 6.44925i
\(307\) −14.7169 13.9739i −0.839938 0.797531i 0.141373 0.989956i \(-0.454848\pi\)
−0.981312 + 0.192425i \(0.938365\pi\)
\(308\) −22.0124 + 46.3901i −1.25427 + 2.64332i
\(309\) −20.6453 + 4.33866i −1.17447 + 0.246818i
\(310\) −1.34028 + 1.18738i −0.0761226 + 0.0674387i
\(311\) 27.0745 10.8062i 1.53526 0.612761i 0.558959 0.829195i \(-0.311201\pi\)
0.976297 + 0.216434i \(0.0694426\pi\)
\(312\) −50.7623 + 117.268i −2.87385 + 6.63898i
\(313\) −25.7199 17.9726i −1.45378 1.01587i −0.991637 0.129062i \(-0.958803\pi\)
−0.462140 0.886807i \(-0.652918\pi\)
\(314\) −18.7322 22.9427i −1.05712 1.29473i
\(315\) 3.20328 + 1.97440i 0.180484 + 0.111245i
\(316\) 11.7466 + 8.82697i 0.660796 + 0.496556i
\(317\) −15.2876 + 17.0574i −0.858636 + 0.958036i −0.999488 0.0319941i \(-0.989814\pi\)
0.140852 + 0.990031i \(0.455016\pi\)
\(318\) −9.40266 95.8201i −0.527275 5.37332i
\(319\) 2.63862 + 10.4462i 0.147734 + 0.584877i
\(320\) −1.14887 + 1.84014i −0.0642237 + 0.102867i
\(321\) −0.519786 30.1095i −0.0290116 1.68055i
\(322\) −1.10162 7.60542i −0.0613907 0.423833i
\(323\) 14.1428 + 41.5652i 0.786929 + 2.31275i
\(324\) 54.2962 + 71.3960i 3.01645 + 3.96644i
\(325\) 11.4104 + 24.0470i 0.632937 + 1.33389i
\(326\) 5.47237 16.7113i 0.303087 0.925551i
\(327\) −34.0302 + 8.80429i −1.88187 + 0.486878i
\(328\) 17.3808 + 32.6584i 0.959696 + 1.80326i
\(329\) 5.21414 + 10.3657i 0.287465 + 0.571478i
\(330\) −0.361073 8.95993i −0.0198764 0.493228i
\(331\) −17.3683 + 20.3002i −0.954648 + 1.11580i 0.0385384 + 0.999257i \(0.487730\pi\)
−0.993186 + 0.116540i \(0.962820\pi\)
\(332\) −69.9529 46.5230i −3.83916 2.55328i
\(333\) 59.8975 14.0343i 3.28236 0.769074i
\(334\) 0.515317 17.9072i 0.0281969 0.979839i
\(335\) 1.13787 0.365378i 0.0621685 0.0199627i
\(336\) 71.7841 8.29733i 3.91614 0.452656i
\(337\) 8.66767 24.5440i 0.472158 1.33700i −0.428920 0.903342i \(-0.641106\pi\)
0.901078 0.433657i \(-0.142777\pi\)
\(338\) −39.8847 12.8073i −2.16944 0.696624i
\(339\) −31.4777 6.23776i −1.70963 0.338789i
\(340\) −6.84872 5.52644i −0.371424 0.299713i
\(341\) −5.42047 12.1370i −0.293535 0.657254i
\(342\) 104.416 3.60618i 5.64616 0.195000i
\(343\) 18.3478 + 8.06796i 0.990687 + 0.435629i
\(344\) 3.80200 28.5615i 0.204990 1.53994i
\(345\) 0.558344 + 0.770357i 0.0300602 + 0.0414746i
\(346\) −22.3077 + 14.4685i −1.19927 + 0.777833i
\(347\) 7.80561 + 12.5023i 0.419027 + 0.671157i 0.988563 0.150810i \(-0.0481882\pi\)
−0.569535 + 0.821967i \(0.692877\pi\)
\(348\) 24.9579 25.9839i 1.33788 1.39288i
\(349\) 3.94422 + 12.5304i 0.211129 + 0.670738i 0.998525 + 0.0542905i \(0.0172897\pi\)
−0.787396 + 0.616448i \(0.788571\pi\)
\(350\) 16.8921 24.4724i 0.902921 1.30811i
\(351\) −49.1165 + 45.5734i −2.62164 + 2.43253i
\(352\) −33.2265 38.8354i −1.77098 2.06993i
\(353\) 0.721478 + 5.94191i 0.0384004 + 0.316256i 0.999234 + 0.0391303i \(0.0124587\pi\)
−0.960834 + 0.277126i \(0.910618\pi\)
\(354\) 4.63042 + 27.4921i 0.246104 + 1.46119i
\(355\) −0.309357 + 1.02379i −0.0164190 + 0.0543371i
\(356\) −3.09457 48.8281i −0.164012 2.58789i
\(357\) −0.318586 + 55.3688i −0.0168614 + 2.93043i
\(358\) −57.8115 17.1065i −3.05543 0.904104i
\(359\) 6.61231 0.380882i 0.348985 0.0201022i 0.117871 0.993029i \(-0.462393\pi\)
0.231114 + 0.972927i \(0.425763\pi\)
\(360\) −10.1987 + 6.95332i −0.537516 + 0.366472i
\(361\) 7.64314 11.6370i 0.402271 0.612475i
\(362\) 4.95455 + 25.7792i 0.260405 + 1.35492i
\(363\) 30.7660 + 8.33865i 1.61479 + 0.437666i
\(364\) 12.7126 + 58.8090i 0.666322 + 3.08243i
\(365\) 0.349529 + 1.53138i 0.0182952 + 0.0801563i
\(366\) −4.09952 20.0808i −0.214285 1.04964i
\(367\) −30.9205 + 21.6066i −1.61404 + 1.12786i −0.706648 + 0.707565i \(0.749794\pi\)
−0.907389 + 0.420291i \(0.861928\pi\)
\(368\) 12.2766 + 3.47952i 0.639962 + 0.181383i
\(369\) 2.55164 + 34.0493i 0.132833 + 1.77254i
\(370\) 0.972467 + 5.39406i 0.0505561 + 0.280424i
\(371\) −17.6040 20.1027i −0.913954 1.04368i
\(372\) −24.8272 + 36.8688i −1.28723 + 1.91156i
\(373\) −13.8583 + 14.7644i −0.717558 + 0.764474i −0.979681 0.200561i \(-0.935724\pi\)
0.262124 + 0.965034i \(0.415577\pi\)
\(374\) 76.7317 51.0313i 3.96770 2.63877i
\(375\) −0.892516 + 7.35053i −0.0460894 + 0.379580i
\(376\) −38.0220 + 1.75142i −1.96084 + 0.0903224i
\(377\) 9.91573 + 7.81462i 0.510686 + 0.402473i
\(378\) 71.5296 + 22.0639i 3.67908 + 1.13485i
\(379\) 2.13576 0.271807i 0.109707 0.0139618i −0.0712000 0.997462i \(-0.522683\pi\)
0.180907 + 0.983500i \(0.442097\pi\)
\(380\) −0.113903 + 6.59799i −0.00584308 + 0.338470i
\(381\) 0.701440 + 0.454947i 0.0359359 + 0.0233076i
\(382\) −1.21642 23.4690i −0.0622375 1.20078i
\(383\) −9.67831 17.6915i −0.494539 0.903993i −0.999173 0.0406597i \(-0.987054\pi\)
0.504634 0.863333i \(-0.331627\pi\)
\(384\) −1.73858 + 5.52331i −0.0887216 + 0.281860i
\(385\) −1.52919 1.96348i −0.0779347 0.100068i
\(386\) −2.39350 15.2826i −0.121826 0.777865i
\(387\) 13.8231 22.7184i 0.702670 1.15484i
\(388\) 1.41416 + 12.8841i 0.0717932 + 0.654090i
\(389\) −7.01326 5.14492i −0.355586 0.260858i 0.399151 0.916885i \(-0.369305\pi\)
−0.754737 + 0.656028i \(0.772235\pi\)
\(390\) −6.73860 8.06211i −0.341223 0.408241i
\(391\) −3.78055 + 9.01681i −0.191191 + 0.456000i
\(392\) −9.67822 + 8.77500i −0.488824 + 0.443204i
\(393\) −14.9332 + 32.4295i −0.753282 + 1.63585i
\(394\) 9.02393 12.7569i 0.454619 0.642683i
\(395\) −0.638034 + 0.316357i −0.0321030 + 0.0159176i
\(396\) −44.9667 148.813i −2.25966 7.47815i
\(397\) 9.77232 3.64197i 0.490458 0.182785i −0.0918188 0.995776i \(-0.529268\pi\)
0.582277 + 0.812990i \(0.302162\pi\)
\(398\) 20.0012 20.3495i 1.00257 1.02003i
\(399\) 32.9029 25.3226i 1.64721 1.26771i
\(400\) 25.6652 + 42.1808i 1.28326 + 2.10904i
\(401\) 1.94300 1.64312i 0.0970289 0.0820533i −0.595902 0.803057i \(-0.703205\pi\)
0.692931 + 0.721004i \(0.256319\pi\)
\(402\) 35.3684 22.3656i 1.76402 1.11550i
\(403\) −13.7073 7.39654i −0.682807 0.368448i
\(404\) −10.9539 15.4852i −0.544976 0.770418i
\(405\) −4.27390 + 0.795937i −0.212372 + 0.0395504i
\(406\) 2.02189 13.9589i 0.100345 0.692769i
\(407\) −40.3626 5.13674i −2.00070 0.254619i
\(408\) −165.414 75.0198i −8.18921 3.71403i
\(409\) 5.67032 11.2726i 0.280379 0.557392i −0.708571 0.705640i \(-0.750660\pi\)
0.988950 + 0.148247i \(0.0473631\pi\)
\(410\) −3.04128 + 0.0700085i −0.150198 + 0.00345747i
\(411\) 0.758433 3.71505i 0.0374107 0.183250i
\(412\) −12.9443 29.9031i −0.637720 1.47322i
\(413\) 5.48694 + 5.45546i 0.269995 + 0.268446i
\(414\) 17.9372 + 14.8181i 0.881563 + 0.728268i
\(415\) 3.53794 2.01558i 0.173671 0.0989409i
\(416\) −58.6082 12.3166i −2.87350 0.603873i
\(417\) −10.1481 + 13.3441i −0.496955 + 0.653464i
\(418\) −65.5440 21.8818i −3.20586 1.07027i
\(419\) −18.7956 1.51733i −0.918223 0.0741266i −0.387689 0.921790i \(-0.626726\pi\)
−0.530534 + 0.847664i \(0.678009\pi\)
\(420\) −2.86130 + 7.81470i −0.139617 + 0.381318i
\(421\) 0.415919 5.55006i 0.0202707 0.270493i −0.977854 0.209286i \(-0.932886\pi\)
0.998125 0.0612070i \(-0.0194950\pi\)
\(422\) −23.6632 + 2.45958i −1.15191 + 0.119730i
\(423\) −32.7744 12.6459i −1.59355 0.614864i
\(424\) 83.7598 25.8365i 4.06773 1.25473i
\(425\) −34.4552 + 15.6264i −1.67132 + 0.757992i
\(426\) −1.50793 + 37.4189i −0.0730595 + 1.81295i
\(427\) −4.16964 3.86886i −0.201783 0.187227i
\(428\) 45.4054 10.0890i 2.19475 0.487670i
\(429\) 72.1070 29.7463i 3.48136 1.43616i
\(430\) 1.95760 + 1.33467i 0.0944041 + 0.0643636i
\(431\) 20.6207 + 12.3848i 0.993264 + 0.596554i 0.916305 0.400480i \(-0.131157\pi\)
0.0769588 + 0.997034i \(0.475479\pi\)
\(432\) −81.8848 + 93.5073i −3.93968 + 4.49887i
\(433\) 9.67376 + 36.5229i 0.464891 + 1.75518i 0.637759 + 0.770236i \(0.279861\pi\)
−0.172868 + 0.984945i \(0.555303\pi\)
\(434\) 0.500541 + 17.3937i 0.0240268 + 0.834926i
\(435\) 0.581481 + 1.64657i 0.0278799 + 0.0789468i
\(436\) −23.8376 48.7794i −1.14162 2.33611i
\(437\) 7.07622 1.91790i 0.338501 0.0917458i
\(438\) 25.2796 + 48.8473i 1.20791 + 2.33401i
\(439\) 6.38038 7.63352i 0.304519 0.364328i −0.593078 0.805145i \(-0.702088\pi\)
0.897597 + 0.440817i \(0.145311\pi\)
\(440\) 7.92655 1.95372i 0.377883 0.0931399i
\(441\) −11.4369 + 3.81819i −0.544613 + 0.181819i
\(442\) 34.7826 102.225i 1.65444 4.86233i
\(443\) −22.3191 4.15653i −1.06041 0.197483i −0.376032 0.926607i \(-0.622712\pi\)
−0.684382 + 0.729124i \(0.739928\pi\)
\(444\) 56.9088 + 123.585i 2.70077 + 5.86508i
\(445\) 2.18158 + 0.929485i 0.103417 + 0.0440618i
\(446\) 15.3112 + 20.6216i 0.725008 + 0.976459i
\(447\) −10.2169 15.9528i −0.483244 0.754543i
\(448\) 6.56070 + 20.0348i 0.309964 + 0.946553i
\(449\) 20.0545 19.0420i 0.946430 0.898647i −0.0485394 0.998821i \(-0.515457\pi\)
0.994970 + 0.100175i \(0.0319402\pi\)
\(450\) 11.8794 + 89.2412i 0.560003 + 4.20687i
\(451\) 6.28294 21.6912i 0.295852 1.02140i
\(452\) −0.285185 49.5638i −0.0134140 2.33128i
\(453\) 45.8150 3.16838i 2.15258 0.148863i
\(454\) −17.0584 + 26.6352i −0.800592 + 1.25005i
\(455\) −2.82322 0.730423i −0.132355 0.0342428i
\(456\) 31.8325 + 132.424i 1.49069 + 6.20132i
\(457\) 30.3258 21.7147i 1.41858 1.01577i 0.424697 0.905335i \(-0.360380\pi\)
0.993884 0.110433i \(-0.0352239\pi\)
\(458\) 6.12017 + 70.7350i 0.285977 + 3.30523i
\(459\) −63.5634 70.9218i −2.96688 3.31035i
\(460\) −0.993316 + 1.08297i −0.0463136 + 0.0504938i
\(461\) 3.78743 34.5063i 0.176398 1.60712i −0.496940 0.867785i \(-0.665543\pi\)
0.673338 0.739335i \(-0.264860\pi\)
\(462\) −69.0589 53.1488i −3.21291 2.47270i
\(463\) 32.5896 4.52919i 1.51457 0.210489i 0.668559 0.743660i \(-0.266912\pi\)
0.846008 + 0.533170i \(0.179000\pi\)
\(464\) 19.7942 + 12.5171i 0.918925 + 0.581093i
\(465\) −1.05563 1.87798i −0.0489535 0.0870892i
\(466\) 12.3075 + 15.4332i 0.570135 + 0.714927i
\(467\) −7.94195 + 13.3974i −0.367510 + 0.619959i −0.986177 0.165694i \(-0.947014\pi\)
0.618667 + 0.785653i \(0.287673\pi\)
\(468\) −148.107 106.051i −6.84625 4.90223i
\(469\) 4.36716 10.7615i 0.201657 0.496922i
\(470\) 1.27630 2.85776i 0.0588714 0.131819i
\(471\) 31.7420 16.1964i 1.46260 0.746290i
\(472\) −23.6799 + 9.13679i −1.08996 + 0.420555i
\(473\) −13.8140 + 10.8869i −0.635170 + 0.500579i
\(474\) −18.8543 + 16.3201i −0.866007 + 0.749606i
\(475\) 25.1197 + 13.1839i 1.15257 + 0.604917i
\(476\) −83.8906 + 16.6242i −3.84512 + 0.761967i
\(477\) 80.3649 + 9.28916i 3.67965 + 0.425321i
\(478\) 5.85416 11.9795i 0.267763 0.547928i
\(479\) −1.78105 + 9.26704i −0.0813782 + 0.423422i 0.918246 + 0.396010i \(0.129606\pi\)
−0.999624 + 0.0274115i \(0.991274\pi\)
\(480\) −5.94094 5.77243i −0.271165 0.263474i
\(481\) −41.1516 + 24.0756i −1.87635 + 1.09775i
\(482\) −24.4809 + 32.9714i −1.11507 + 1.50181i
\(483\) 9.22385 + 0.637884i 0.419700 + 0.0290247i
\(484\) −3.11407 + 49.1358i −0.141549 + 2.23344i
\(485\) −0.588661 0.219384i −0.0267297 0.00996171i
\(486\) −49.2356 + 23.0164i −2.23337 + 1.04405i
\(487\) −11.7674 10.6692i −0.533231 0.483467i 0.360070 0.932925i \(-0.382753\pi\)
−0.893301 + 0.449458i \(0.851617\pi\)
\(488\) 17.1656 7.31358i 0.777050 0.331070i
\(489\) 18.2610 + 10.6835i 0.825789 + 0.483126i
\(490\) −0.286978 1.03520i −0.0129644 0.0467654i
\(491\) 9.93383 + 27.1309i 0.448307 + 1.22440i 0.936190 + 0.351493i \(0.114326\pi\)
−0.487883 + 0.872909i \(0.662231\pi\)
\(492\) −72.6536 + 20.5920i −3.27548 + 0.928359i
\(493\) −11.3493 + 13.9004i −0.511148 + 0.626042i
\(494\) −76.5020 + 26.5224i −3.44199 + 1.19330i
\(495\) 7.42275 + 1.29416i 0.333628 + 0.0581681i
\(496\) −26.7098 11.0186i −1.19931 0.494749i
\(497\) 5.70575 + 8.68726i 0.255938 + 0.389677i
\(498\) 102.256 99.3559i 4.58221 4.45225i
\(499\) 1.54986 5.59071i 0.0693814 0.250275i −0.920806 0.390021i \(-0.872468\pi\)
0.990187 + 0.139747i \(0.0446288\pi\)
\(500\) −11.3996 + 0.920275i −0.509808 + 0.0411559i
\(501\) 20.9275 + 5.15816i 0.934971 + 0.230450i
\(502\) −2.26489 + 1.66152i −0.101087 + 0.0741572i
\(503\) −18.2575 19.9053i −0.814059 0.887535i 0.181333 0.983422i \(-0.441959\pi\)
−0.995392 + 0.0958865i \(0.969431\pi\)
\(504\) −11.7146 + 119.380i −0.521809 + 5.31762i
\(505\) 0.909061 0.137019i 0.0404527 0.00609726i
\(506\) −7.69395 13.3263i −0.342038 0.592427i
\(507\) 25.2001 43.6479i 1.11918 1.93847i
\(508\) −0.471781 + 1.20208i −0.0209319 + 0.0533336i
\(509\) −10.8968 + 5.71907i −0.482991 + 0.253493i −0.688601 0.725141i \(-0.741775\pi\)
0.205609 + 0.978634i \(0.434082\pi\)
\(510\) 11.6231 9.37902i 0.514679 0.415310i
\(511\) 13.5969 + 6.93785i 0.601494 + 0.306912i
\(512\) 39.0168 + 4.05544i 1.72432 + 0.179227i
\(513\) −12.6706 + 70.2811i −0.559421 + 3.10299i
\(514\) −61.0356 + 36.6579i −2.69216 + 1.61691i
\(515\) 1.57668 + 0.0908200i 0.0694770 + 0.00400201i
\(516\) 55.3441 + 19.9035i 2.43639 + 0.876204i
\(517\) 17.3910 + 15.4071i 0.764854 + 0.677601i
\(518\) 46.2808 + 26.3664i 2.03346 + 1.15847i
\(519\) −11.3439 29.9113i −0.497941 1.31296i
\(520\) 5.96431 7.47901i 0.261553 0.327976i
\(521\) −35.6971 5.80135i −1.56392 0.254162i −0.684071 0.729415i \(-0.739792\pi\)
−0.879849 + 0.475254i \(0.842356\pi\)
\(522\) 23.8518 + 35.4203i 1.04396 + 1.55031i
\(523\) 2.44627 9.23581i 0.106968 0.403854i −0.891857 0.452317i \(-0.850597\pi\)
0.998825 + 0.0484638i \(0.0154326\pi\)
\(524\) −53.6907 12.5800i −2.34549 0.549560i
\(525\) 24.4849 + 26.0858i 1.06861 + 1.13848i
\(526\) −17.7019 + 2.87683i −0.771838 + 0.125436i
\(527\) 10.8482 19.2991i 0.472554 0.840683i
\(528\) 127.340 68.7137i 5.54176 2.99038i
\(529\) −19.1434 9.49186i −0.832320 0.412690i
\(530\) −1.19711 + 7.10757i −0.0519990 + 0.308733i
\(531\) −23.4009 1.07792i −1.01551 0.0467778i
\(532\) 48.4872 + 41.9700i 2.10219 + 1.81963i
\(533\) −9.66757 24.6326i −0.418749 1.06695i
\(534\) 82.1060 + 12.3755i 3.55307 + 0.535539i
\(535\) −0.552091 + 2.18572i −0.0238690 + 0.0944970i
\(536\) 26.3910 + 27.4760i 1.13992 + 1.18678i
\(537\) 34.8130 63.6364i 1.50229 2.74612i
\(538\) −62.4905 30.0938i −2.69416 1.29744i
\(539\) 7.96982 + 0.275251i 0.343284 + 0.0118559i
\(540\) −5.38255 13.2636i −0.231628 0.570776i
\(541\) −6.85122 + 28.5013i −0.294557 + 1.22536i 0.607700 + 0.794167i \(0.292092\pi\)
−0.902257 + 0.431198i \(0.858091\pi\)
\(542\) −18.4636 + 34.6928i −0.793078 + 1.49018i
\(543\) −31.5753 0.726843i −1.35502 0.0311918i
\(544\) 18.9422 82.9910i 0.812138 3.55821i
\(545\) 2.63125 + 0.0302809i 0.112710 + 0.00129709i
\(546\) −102.111 −4.36996
\(547\) −18.5290 14.2716i −0.792241 0.610208i
\(548\) 5.85647 0.250176
\(549\) 17.2198 + 0.198169i 0.734924 + 0.00845763i
\(550\) 13.2496 58.0505i 0.564967 2.47528i
\(551\) 13.4526 + 0.309671i 0.573101 + 0.0131924i
\(552\) −14.2491 + 26.7739i −0.606483 + 1.13957i
\(553\) −1.61755 + 6.72905i −0.0687852 + 0.286148i
\(554\) −10.0966 24.8800i −0.428964 1.05705i
\(555\) −6.59050 0.227614i −0.279751 0.00966169i
\(556\) −23.3295 11.2349i −0.989392 0.476466i
\(557\) 0.0459392 0.0839746i 0.00194650 0.00355812i −0.876328 0.481716i \(-0.840014\pi\)
0.878274 + 0.478157i \(0.158695\pi\)
\(558\) −36.4945 37.9948i −1.54493 1.60845i
\(559\) −5.04722 + 19.9819i −0.213475 + 0.845143i
\(560\) −5.34921 0.806264i −0.226045 0.0340709i
\(561\) 40.5059 + 103.207i 1.71016 + 4.35742i
\(562\) 28.3251 + 24.5179i 1.19482 + 1.03423i
\(563\) 25.0587 + 1.15428i 1.05610 + 0.0486472i 0.567108 0.823643i \(-0.308062\pi\)
0.488988 + 0.872290i \(0.337366\pi\)
\(564\) 12.9039 76.6140i 0.543352 3.22603i
\(565\) 2.15224 + 1.06715i 0.0905456 + 0.0448953i
\(566\) 41.6415 22.4701i 1.75032 0.944489i
\(567\) −20.7015 + 36.8284i −0.869381 + 1.54665i
\(568\) −33.6525 + 5.46906i −1.41203 + 0.229477i
\(569\) −4.39722 4.68473i −0.184341 0.196394i 0.630313 0.776341i \(-0.282927\pi\)
−0.814654 + 0.579947i \(0.803073\pi\)
\(570\) −10.9039 2.55485i −0.456716 0.107011i
\(571\) 5.75255 21.7185i 0.240737 0.908892i −0.732816 0.680427i \(-0.761794\pi\)
0.973552 0.228465i \(-0.0733706\pi\)
\(572\) 67.2940 + 99.9327i 2.81370 + 4.17840i
\(573\) 27.9083 + 4.53554i 1.16589 + 0.189475i
\(574\) −18.4322 + 23.1133i −0.769345 + 0.964729i
\(575\) 2.24023 + 5.90701i 0.0934242 + 0.246339i
\(576\) −55.4576 31.5944i −2.31073 1.31643i
\(577\) −2.39987 2.12610i −0.0999078 0.0885106i 0.611690 0.791097i \(-0.290490\pi\)
−0.711598 + 0.702587i \(0.752028\pi\)
\(578\) 102.494 + 36.8602i 4.26320 + 1.53318i
\(579\) 18.5805 + 1.07027i 0.772178 + 0.0444789i
\(580\) −2.31217 + 1.38869i −0.0960078 + 0.0576623i
\(581\) 7.02065 38.9420i 0.291265 1.61558i
\(582\) −21.8793 2.27415i −0.906925 0.0942666i
\(583\) −47.6601 24.3186i −1.97388 1.00717i
\(584\) −38.9685 + 31.4449i −1.61253 + 1.30120i
\(585\) 7.81762 4.10301i 0.323219 0.169638i
\(586\) −22.9891 + 58.5751i −0.949669 + 2.41972i
\(587\) 17.0204 29.4802i 0.702507 1.21678i −0.265077 0.964227i \(-0.585397\pi\)
0.967584 0.252550i \(-0.0812693\pi\)
\(588\) −13.3332 23.0938i −0.549851 0.952371i
\(589\) −16.4156 + 2.47426i −0.676393 + 0.101950i
\(590\) 0.203823 2.07711i 0.00839127 0.0855132i
\(591\) 12.7079 + 13.8549i 0.522732 + 0.569913i
\(592\) −71.3116 + 52.3141i −2.93089 + 2.15010i
\(593\) −16.9642 4.18129i −0.696635 0.171705i −0.124931 0.992165i \(-0.539871\pi\)
−0.571703 + 0.820460i \(0.693717\pi\)
\(594\) 149.403 12.0610i 6.13007 0.494871i
\(595\) 1.10733 3.99440i 0.0453963 0.163755i
\(596\) 20.9856 20.3904i 0.859604 0.835223i
\(597\) 18.8461 + 28.6940i 0.771319 + 1.17437i
\(598\) −16.6684 6.87619i −0.681621 0.281188i
\(599\) −17.2234 3.00290i −0.703728 0.122695i −0.191435 0.981505i \(-0.561314\pi\)
−0.512294 + 0.858810i \(0.671204\pi\)
\(600\) −110.885 + 38.4426i −4.52686 + 1.56941i
\(601\) −21.0944 + 25.8359i −0.860459 + 1.05387i 0.137531 + 0.990497i \(0.456083\pi\)
−0.997990 + 0.0633730i \(0.979814\pi\)
\(602\) 22.1522 6.27854i 0.902857 0.255894i
\(603\) 12.0894 + 33.0182i 0.492319 + 1.34461i
\(604\) 18.9495 + 68.3550i 0.771043 + 2.78133i
\(605\) −2.05968 1.20501i −0.0837378 0.0489906i
\(606\) 29.6148 12.6177i 1.20302 0.512558i
\(607\) 19.5549 + 17.7299i 0.793708 + 0.719635i 0.964042 0.265752i \(-0.0856201\pi\)
−0.170334 + 0.985386i \(0.554485\pi\)
\(608\) −57.8250 + 27.0318i −2.34511 + 1.09628i
\(609\) 15.9014 + 5.92617i 0.644357 + 0.240141i
\(610\) −0.0970430 + 1.53121i −0.00392916 + 0.0619968i
\(611\) 27.1600 + 1.87828i 1.09878 + 0.0759869i
\(612\) 154.353 207.886i 6.23933 8.40329i
\(613\) 25.1840 14.7339i 1.01717 0.595095i 0.100586 0.994928i \(-0.467928\pi\)
0.916588 + 0.399833i \(0.130932\pi\)
\(614\) 38.1534 + 37.0713i 1.53975 + 1.49607i
\(615\) 0.690791 3.59428i 0.0278554 0.144935i
\(616\) 34.8331 71.2795i 1.40346 2.87193i
\(617\) −15.9787 1.84693i −0.643277 0.0743546i −0.213001 0.977052i \(-0.568324\pi\)
−0.430276 + 0.902697i \(0.641584\pi\)
\(618\) 54.2449 10.7494i 2.18205 0.432406i
\(619\) −14.9647 7.85407i −0.601481 0.315682i 0.136356 0.990660i \(-0.456461\pi\)
−0.737838 + 0.674978i \(0.764153\pi\)
\(620\) 2.51589 2.17773i 0.101041 0.0874598i
\(621\) −12.4905 + 9.84378i −0.501225 + 0.395017i
\(622\) −71.2918 + 27.5077i −2.85854 + 1.10296i
\(623\) 20.5269 10.4738i 0.822392 0.419626i
\(624\) 69.1404 154.812i 2.76783 6.19745i
\(625\) −9.08748 + 22.3933i −0.363499 + 0.895733i
\(626\) 66.8731 + 47.8842i 2.67279 + 1.91384i
\(627\) 42.3944 71.5158i 1.69307 2.85607i
\(628\) 34.3175 + 43.0328i 1.36942 + 1.71719i
\(629\) −33.2064 59.0748i −1.32402 2.35547i
\(630\) −8.33665 5.27178i −0.332140 0.210033i
\(631\) −15.4273 + 2.14404i −0.614152 + 0.0853527i −0.437947 0.899001i \(-0.644294\pi\)
−0.176205 + 0.984353i \(0.556382\pi\)
\(632\) −17.9910 13.8462i −0.715645 0.550771i
\(633\) 3.12298 28.4527i 0.124127 1.13089i
\(634\) 40.5852 44.2484i 1.61185 1.75733i
\(635\) −0.0417727 0.0466086i −0.00165770 0.00184961i
\(636\) 15.4230 + 178.254i 0.611560 + 7.06823i
\(637\) 7.59745 5.44012i 0.301022 0.215545i
\(638\) −6.60105 27.4605i −0.261338 1.08717i
\(639\) −30.4639 7.88161i −1.20513 0.311792i
\(640\) 0.233786 0.365036i 0.00924120 0.0144293i
\(641\) −35.7171 + 2.47005i −1.41074 + 0.0975611i −0.754158 0.656693i \(-0.771955\pi\)
−0.656583 + 0.754254i \(0.727999\pi\)
\(642\) 0.454192 + 78.9364i 0.0179255 + 3.11537i
\(643\) 9.11228 31.4592i 0.359353 1.24063i −0.553674 0.832733i \(-0.686775\pi\)
0.913027 0.407898i \(-0.133738\pi\)
\(644\) 1.88439 + 14.1559i 0.0742552 + 0.557823i
\(645\) −2.06719 + 1.96282i −0.0813953 + 0.0772858i
\(646\) −35.8164 109.374i −1.40918 4.30328i
\(647\) 17.8015 + 27.7955i 0.699850 + 1.09275i 0.990710 + 0.135989i \(0.0434212\pi\)
−0.290860 + 0.956766i \(0.593941\pi\)
\(648\) −82.6161 111.269i −3.24547 4.37108i
\(649\) 14.2536 + 6.07290i 0.559504 + 0.238382i
\(650\) −29.1829 63.3745i −1.14465 2.48575i
\(651\) −20.5819 3.83301i −0.806668 0.150227i
\(652\) −10.5261 + 30.9358i −0.412235 + 1.21154i
\(653\) −19.2419 + 6.42388i −0.752992 + 0.251386i −0.667150 0.744923i \(-0.732486\pi\)
−0.0858418 + 0.996309i \(0.527358\pi\)
\(654\) 89.4631 22.0507i 3.49828 0.862250i
\(655\) 1.71407 2.05073i 0.0669744 0.0801286i
\(656\) −22.5617 43.5955i −0.880887 1.70212i
\(657\) −44.6056 + 12.0897i −1.74023 + 0.471663i
\(658\) −13.3543 27.3270i −0.520603 1.06532i
\(659\) 11.0094 + 31.1751i 0.428865 + 1.21441i 0.935833 + 0.352443i \(0.114649\pi\)
−0.506968 + 0.861965i \(0.669234\pi\)
\(660\) 0.479342 + 16.6571i 0.0186584 + 0.648375i
\(661\) −6.66260 25.1544i −0.259145 0.978392i −0.963318 0.268364i \(-0.913517\pi\)
0.704173 0.710029i \(-0.251318\pi\)
\(662\) 46.1369 52.6854i 1.79316 2.04768i
\(663\) 111.372 + 66.8899i 4.32533 + 2.59779i
\(664\) 107.247 + 73.1200i 4.16200 + 2.83760i
\(665\) −2.87329 + 1.18532i −0.111421 + 0.0459646i
\(666\) −157.422 + 34.9789i −6.10000 + 1.35541i
\(667\) 2.19663 + 2.03818i 0.0850539 + 0.0789185i
\(668\) −1.34050 + 33.2641i −0.0518655 + 1.28703i
\(669\) −28.1427 + 12.7635i −1.08806 + 0.493466i
\(670\) −2.99353 + 0.923380i −0.115650 + 0.0356733i
\(671\) −10.6261 4.10004i −0.410217 0.158280i
\(672\) −80.0672 + 8.32226i −3.08866 + 0.321038i
\(673\) 0.0780516 1.04153i 0.00300867 0.0401479i −0.995497 0.0947889i \(-0.969782\pi\)
0.998506 + 0.0546410i \(0.0174014\pi\)
\(674\) −23.4594 + 64.0716i −0.903624 + 2.46795i
\(675\) −61.3377 4.95169i −2.36089 0.190591i
\(676\) 73.8399 + 24.6514i 2.84000 + 0.948130i
\(677\) 5.97041 7.85071i 0.229462 0.301727i −0.666815 0.745224i \(-0.732343\pi\)
0.896276 + 0.443496i \(0.146262\pi\)
\(678\) 82.3189 + 17.2995i 3.16144 + 0.664383i
\(679\) −5.30453 + 3.02201i −0.203569 + 0.115974i
\(680\) 10.4828 + 8.65990i 0.401995 + 0.332092i
\(681\) −26.9861 26.8313i −1.03411 1.02818i
\(682\) 13.8417 + 31.9761i 0.530024 + 1.22443i
\(683\) 1.33572 6.54280i 0.0511100 0.250353i −0.946207 0.323563i \(-0.895119\pi\)
0.997317 + 0.0732099i \(0.0233243\pi\)
\(684\) −194.103 + 4.46813i −7.42170 + 0.170843i
\(685\) −0.127554 + 0.253576i −0.00487358 + 0.00968865i
\(686\) −47.8485 21.7006i −1.82686 0.828534i
\(687\) −84.7387 10.7843i −3.23298 0.411445i
\(688\) −5.48048 + 37.8365i −0.208941 + 1.44250i
\(689\) −61.6366 + 11.4787i −2.34817 + 0.437304i
\(690\) −1.44025 2.03605i −0.0548295 0.0775110i
\(691\) 3.24602 + 1.75158i 0.123484 + 0.0666331i 0.535454 0.844565i \(-0.320141\pi\)
−0.411969 + 0.911198i \(0.635159\pi\)
\(692\) 41.7615 26.4084i 1.58753 1.00390i
\(693\) 55.9106 47.2812i 2.12387 1.79607i
\(694\) −20.0824 33.0055i −0.762317 1.25287i
\(695\) 0.994570 0.765436i 0.0377262 0.0290346i
\(696\) −39.0209 + 39.7004i −1.47909 + 1.50484i
\(697\) 35.2447 13.1351i 1.33499 0.497527i
\(698\) −9.96035 32.9628i −0.377005 1.24766i
\(699\) −21.2777 + 10.5502i −0.804798 + 0.399043i
\(700\) −31.9122 + 45.1134i −1.20617 + 1.70513i
\(701\) 2.74754 5.96664i 0.103773 0.225357i −0.849421 0.527716i \(-0.823049\pi\)
0.953194 + 0.302359i \(0.0977740\pi\)
\(702\) 130.115 117.972i 4.91089 4.45258i
\(703\) −19.6488 + 46.8634i −0.741070 + 1.76749i
\(704\) 27.0722 + 32.3894i 1.02032 + 1.22072i
\(705\) 3.03622 + 2.22737i 0.114351 + 0.0838876i
\(706\) −1.71185 15.5963i −0.0644265 0.586973i
\(707\) 4.64388 7.63224i 0.174651 0.287040i
\(708\) −8.01635 51.1849i −0.301273 1.92365i
\(709\) −1.20586 1.54832i −0.0452869 0.0581482i 0.765775 0.643108i \(-0.222356\pi\)
−0.811062 + 0.584960i \(0.801110\pi\)
\(710\) 0.841748 2.67415i 0.0315902 0.100359i
\(711\) −10.0561 18.3821i −0.377134 0.689384i
\(712\) 3.91284 + 75.4926i 0.146640 + 2.82920i
\(713\) −3.10162 2.01168i −0.116157 0.0753380i
\(714\) 2.50522 145.119i 0.0937556 5.43095i
\(715\) −5.79259 + 0.737193i −0.216631 + 0.0275694i
\(716\) 107.059 + 33.0235i 4.00100 + 1.23415i
\(717\) 12.5994 + 9.92965i 0.470534 + 0.370829i
\(718\) −17.3432 + 0.798884i −0.647243 + 0.0298141i
\(719\) −0.0879212 + 0.724097i −0.00327891 + 0.0270042i −0.994257 0.107023i \(-0.965868\pi\)
0.990978 + 0.134028i \(0.0427911\pi\)
\(720\) 13.6374 9.06974i 0.508237 0.338009i
\(721\) 10.5036 11.1903i 0.391173 0.416750i
\(722\) −20.3847 + 30.2716i −0.758640 + 1.12659i
\(723\) −32.5504 37.1706i −1.21056 1.38239i
\(724\) −8.65527 48.0089i −0.321671 1.78424i
\(725\) 0.866507 + 11.5627i 0.0321813 + 0.429429i
\(726\) −80.3900 22.7847i −2.98355 0.845620i
\(727\) −20.9640 + 14.6492i −0.777513 + 0.543310i −0.893031 0.449996i \(-0.851426\pi\)
0.115518 + 0.993305i \(0.463147\pi\)
\(728\) −18.5949 91.0837i −0.689172 3.37579i
\(729\) −2.25854 9.89532i −0.0836497 0.366493i
\(730\) −0.869966 4.02450i −0.0321989 0.148953i
\(731\) −28.2742 7.66329i −1.04576 0.283437i
\(732\) 7.18830 + 37.4017i 0.265687 + 1.38241i
\(733\) 1.10364 1.68034i 0.0407639 0.0620649i −0.814881 0.579629i \(-0.803198\pi\)
0.855645 + 0.517564i \(0.173161\pi\)
\(734\) 81.6984 55.7010i 3.01554 2.05596i
\(735\) 1.29032 0.0743249i 0.0475942 0.00274152i
\(736\) −13.6304 4.03324i −0.502423 0.148667i
\(737\) 0.133808 23.2551i 0.00492887 0.856614i
\(738\) −5.66111 89.3247i −0.208388 3.28809i
\(739\) −7.38189 + 24.4297i −0.271547 + 0.898660i 0.709469 + 0.704736i \(0.248935\pi\)
−0.981017 + 0.193924i \(0.937879\pi\)
\(740\) −1.69169 10.0440i −0.0621877 0.369226i
\(741\) −11.7423 96.7069i −0.431366 3.55262i
\(742\) 45.5359 + 53.2227i 1.67168 + 1.95387i
\(743\) −9.16962 + 8.50816i −0.336401 + 0.312134i −0.830226 0.557427i \(-0.811789\pi\)
0.493825 + 0.869561i \(0.335598\pi\)
\(744\) 39.0125 56.5194i 1.43027 2.07210i
\(745\) 0.425806 + 1.35275i 0.0156003 + 0.0495608i
\(746\) 36.7699 38.2815i 1.34624 1.40158i
\(747\) 63.4454 + 101.621i 2.32135 + 3.71810i
\(748\) −143.674 + 93.1856i −5.25325 + 3.40720i
\(749\) 12.8568 + 17.7387i 0.469776 + 0.648158i