Properties

Label 273.2.cg.b.19.1
Level $273$
Weight $2$
Character 273.19
Analytic conductor $2.180$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 19.1
Character \(\chi\) \(=\) 273.19
Dual form 273.2.cg.b.115.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.64088 - 0.707621i) q^{2} +1.00000i q^{3} +(4.74145 + 2.73748i) q^{4} +(-0.792066 + 0.212233i) q^{5} +(0.707621 - 2.64088i) q^{6} +(-1.19502 - 2.36049i) q^{7} +(-6.71797 - 6.71797i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-2.64088 - 0.707621i) q^{2} +1.00000i q^{3} +(4.74145 + 2.73748i) q^{4} +(-0.792066 + 0.212233i) q^{5} +(0.707621 - 2.64088i) q^{6} +(-1.19502 - 2.36049i) q^{7} +(-6.71797 - 6.71797i) q^{8} -1.00000 q^{9} +2.24193 q^{10} +(0.566870 + 0.566870i) q^{11} +(-2.73748 + 4.74145i) q^{12} +(2.33034 - 2.75128i) q^{13} +(1.48557 + 7.07939i) q^{14} +(-0.212233 - 0.792066i) q^{15} +(7.51260 + 13.0122i) q^{16} +(0.145326 - 0.251711i) q^{17} +(2.64088 + 0.707621i) q^{18} +(1.50629 + 1.50629i) q^{19} +(-4.33652 - 1.16197i) q^{20} +(2.36049 - 1.19502i) q^{21} +(-1.09590 - 1.89816i) q^{22} +(8.07890 - 4.66436i) q^{23} +(6.71797 - 6.71797i) q^{24} +(-3.74780 + 2.16379i) q^{25} +(-8.10100 + 5.61678i) q^{26} -1.00000i q^{27} +(0.795651 - 14.4635i) q^{28} +(2.87091 - 4.97256i) q^{29} +2.24193i q^{30} +(1.35027 - 5.03926i) q^{31} +(-5.71424 - 21.3259i) q^{32} +(-0.566870 + 0.566870i) q^{33} +(-0.561903 + 0.561903i) q^{34} +(1.44751 + 1.61604i) q^{35} +(-4.74145 - 2.73748i) q^{36} +(0.591680 - 2.20818i) q^{37} +(-2.91205 - 5.04382i) q^{38} +(2.75128 + 2.33034i) q^{39} +(6.74685 + 3.89530i) q^{40} +(8.80575 - 2.35949i) q^{41} +(-7.07939 + 1.48557i) q^{42} +(2.71857 - 1.56956i) q^{43} +(1.13599 + 4.23957i) q^{44} +(0.792066 - 0.212233i) q^{45} +(-24.6360 + 6.60119i) q^{46} +(1.25989 + 4.70196i) q^{47} +(-13.0122 + 7.51260i) q^{48} +(-4.14384 + 5.64168i) q^{49} +(11.4286 - 3.06229i) q^{50} +(0.251711 + 0.145326i) q^{51} +(18.5807 - 6.66578i) q^{52} +(-2.69075 - 4.66051i) q^{53} +(-0.707621 + 2.64088i) q^{54} +(-0.569307 - 0.328689i) q^{55} +(-7.82958 + 23.8858i) q^{56} +(-1.50629 + 1.50629i) q^{57} +(-11.1004 + 11.1004i) q^{58} +(3.22293 + 12.0281i) q^{59} +(1.16197 - 4.33652i) q^{60} -5.84594i q^{61} +(-7.13177 + 12.3526i) q^{62} +(1.19502 + 2.36049i) q^{63} +30.3120i q^{64} +(-1.26187 + 2.67377i) q^{65} +(1.89816 - 1.09590i) q^{66} +(8.97356 - 8.97356i) q^{67} +(1.37811 - 0.795651i) q^{68} +(4.66436 + 8.07890i) q^{69} +(-2.67916 - 5.29205i) q^{70} +(-6.43570 - 1.72444i) q^{71} +(6.71797 + 6.71797i) q^{72} +(-7.74069 - 2.07411i) q^{73} +(-3.12511 + 5.41284i) q^{74} +(-2.16379 - 3.74780i) q^{75} +(3.01857 + 11.2655i) q^{76} +(0.660669 - 2.01551i) q^{77} +(-5.61678 - 8.10100i) q^{78} +(2.75101 - 4.76489i) q^{79} +(-8.71210 - 8.71210i) q^{80} +1.00000 q^{81} -24.9245 q^{82} +(-3.51255 - 3.51255i) q^{83} +(14.4635 + 0.795651i) q^{84} +(-0.0616859 + 0.230215i) q^{85} +(-8.29005 + 2.22131i) q^{86} +(4.97256 + 2.87091i) q^{87} -7.61643i q^{88} +(-4.25897 - 1.14119i) q^{89} -2.24193 q^{90} +(-9.27917 - 2.21291i) q^{91} +51.0743 q^{92} +(5.03926 + 1.35027i) q^{93} -13.3088i q^{94} +(-1.51277 - 0.873398i) q^{95} +(21.3259 - 5.71424i) q^{96} +(-3.20349 + 11.9556i) q^{97} +(14.9355 - 11.9667i) q^{98} +(-0.566870 - 0.566870i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 8q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 8q^{7} - 40q^{9} + 4q^{11} - 24q^{12} - 18q^{14} + 32q^{16} + 4q^{17} + 14q^{19} + 14q^{20} + 2q^{21} + 4q^{22} + 12q^{23} + 24q^{25} - 32q^{26} + 16q^{28} + 8q^{29} + 14q^{31} - 26q^{32} - 4q^{33} - 24q^{34} + 26q^{35} + 36q^{37} - 8q^{38} + 18q^{39} - 30q^{40} - 2q^{41} - 66q^{43} - 32q^{44} - 26q^{46} - 4q^{47} + 24q^{48} - 14q^{49} - 20q^{50} + 2q^{52} - 8q^{53} - 42q^{55} + 46q^{56} - 14q^{57} + 24q^{58} + 14q^{59} + 2q^{60} + 24q^{62} + 8q^{63} + 28q^{65} - 18q^{66} - 44q^{67} - 18q^{68} + 4q^{69} - 4q^{70} - 6q^{71} + 14q^{73} - 20q^{74} + 24q^{75} - 64q^{76} + 24q^{77} + 8q^{78} + 20q^{80} + 40q^{81} + 48q^{82} - 12q^{83} + 22q^{84} + 2q^{85} - 60q^{86} + 18q^{87} - 2q^{89} - 14q^{91} + 236q^{92} - 8q^{93} + 24q^{95} + 16q^{96} - 62q^{97} - 88q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.64088 0.707621i −1.86738 0.500363i −0.999996 0.00272558i \(-0.999132\pi\)
−0.867385 0.497638i \(-0.834201\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 4.74145 + 2.73748i 2.37072 + 1.36874i
\(5\) −0.792066 + 0.212233i −0.354223 + 0.0949137i −0.431542 0.902093i \(-0.642030\pi\)
0.0773197 + 0.997006i \(0.475364\pi\)
\(6\) 0.707621 2.64088i 0.288885 1.07813i
\(7\) −1.19502 2.36049i −0.451676 0.892182i
\(8\) −6.71797 6.71797i −2.37516 2.37516i
\(9\) −1.00000 −0.333333
\(10\) 2.24193 0.708960
\(11\) 0.566870 + 0.566870i 0.170918 + 0.170918i 0.787382 0.616465i \(-0.211436\pi\)
−0.616465 + 0.787382i \(0.711436\pi\)
\(12\) −2.73748 + 4.74145i −0.790241 + 1.36874i
\(13\) 2.33034 2.75128i 0.646320 0.763066i
\(14\) 1.48557 + 7.07939i 0.397037 + 1.89205i
\(15\) −0.212233 0.792066i −0.0547984 0.204511i
\(16\) 7.51260 + 13.0122i 1.87815 + 3.25305i
\(17\) 0.145326 0.251711i 0.0352466 0.0610490i −0.847864 0.530214i \(-0.822112\pi\)
0.883111 + 0.469165i \(0.155445\pi\)
\(18\) 2.64088 + 0.707621i 0.622460 + 0.166788i
\(19\) 1.50629 + 1.50629i 0.345568 + 0.345568i 0.858456 0.512888i \(-0.171424\pi\)
−0.512888 + 0.858456i \(0.671424\pi\)
\(20\) −4.33652 1.16197i −0.969676 0.259824i
\(21\) 2.36049 1.19502i 0.515101 0.260775i
\(22\) −1.09590 1.89816i −0.233647 0.404689i
\(23\) 8.07890 4.66436i 1.68457 0.972586i 0.726011 0.687683i \(-0.241372\pi\)
0.958557 0.284902i \(-0.0919612\pi\)
\(24\) 6.71797 6.71797i 1.37130 1.37130i
\(25\) −3.74780 + 2.16379i −0.749560 + 0.432759i
\(26\) −8.10100 + 5.61678i −1.58874 + 1.10154i
\(27\) 1.00000i 0.192450i
\(28\) 0.795651 14.4635i 0.150364 2.73334i
\(29\) 2.87091 4.97256i 0.533114 0.923380i −0.466138 0.884712i \(-0.654355\pi\)
0.999252 0.0386684i \(-0.0123116\pi\)
\(30\) 2.24193i 0.409318i
\(31\) 1.35027 5.03926i 0.242515 0.905078i −0.732101 0.681196i \(-0.761460\pi\)
0.974616 0.223882i \(-0.0718731\pi\)
\(32\) −5.71424 21.3259i −1.01015 3.76991i
\(33\) −0.566870 + 0.566870i −0.0986793 + 0.0986793i
\(34\) −0.561903 + 0.561903i −0.0963656 + 0.0963656i
\(35\) 1.44751 + 1.61604i 0.244674 + 0.273161i
\(36\) −4.74145 2.73748i −0.790241 0.456246i
\(37\) 0.591680 2.20818i 0.0972716 0.363022i −0.900082 0.435720i \(-0.856494\pi\)
0.997354 + 0.0726971i \(0.0231606\pi\)
\(38\) −2.91205 5.04382i −0.472397 0.818216i
\(39\) 2.75128 + 2.33034i 0.440557 + 0.373153i
\(40\) 6.74685 + 3.89530i 1.06677 + 0.615901i
\(41\) 8.80575 2.35949i 1.37523 0.368491i 0.505842 0.862626i \(-0.331182\pi\)
0.869385 + 0.494135i \(0.164515\pi\)
\(42\) −7.07939 + 1.48557i −1.09237 + 0.229229i
\(43\) 2.71857 1.56956i 0.414577 0.239356i −0.278177 0.960530i \(-0.589730\pi\)
0.692755 + 0.721173i \(0.256397\pi\)
\(44\) 1.13599 + 4.23957i 0.171257 + 0.639140i
\(45\) 0.792066 0.212233i 0.118074 0.0316379i
\(46\) −24.6360 + 6.60119i −3.63238 + 0.973292i
\(47\) 1.25989 + 4.70196i 0.183773 + 0.685851i 0.994890 + 0.100966i \(0.0321934\pi\)
−0.811117 + 0.584884i \(0.801140\pi\)
\(48\) −13.0122 + 7.51260i −1.87815 + 1.08435i
\(49\) −4.14384 + 5.64168i −0.591977 + 0.805955i
\(50\) 11.4286 3.06229i 1.61625 0.433073i
\(51\) 0.251711 + 0.145326i 0.0352466 + 0.0203497i
\(52\) 18.5807 6.66578i 2.57668 0.924377i
\(53\) −2.69075 4.66051i −0.369602 0.640170i 0.619901 0.784680i \(-0.287173\pi\)
−0.989503 + 0.144510i \(0.953839\pi\)
\(54\) −0.707621 + 2.64088i −0.0962950 + 0.359378i
\(55\) −0.569307 0.328689i −0.0767653 0.0443205i
\(56\) −7.82958 + 23.8858i −1.04627 + 3.19188i
\(57\) −1.50629 + 1.50629i −0.199514 + 0.199514i
\(58\) −11.1004 + 11.1004i −1.45755 + 1.45755i
\(59\) 3.22293 + 12.0281i 0.419590 + 1.56593i 0.775461 + 0.631395i \(0.217517\pi\)
−0.355872 + 0.934535i \(0.615816\pi\)
\(60\) 1.16197 4.33652i 0.150009 0.559843i
\(61\) 5.84594i 0.748496i −0.927329 0.374248i \(-0.877901\pi\)
0.927329 0.374248i \(-0.122099\pi\)
\(62\) −7.13177 + 12.3526i −0.905735 + 1.56878i
\(63\) 1.19502 + 2.36049i 0.150559 + 0.297394i
\(64\) 30.3120i 3.78901i
\(65\) −1.26187 + 2.67377i −0.156516 + 0.331640i
\(66\) 1.89816 1.09590i 0.233647 0.134896i
\(67\) 8.97356 8.97356i 1.09629 1.09629i 0.101455 0.994840i \(-0.467650\pi\)
0.994840 0.101455i \(-0.0323496\pi\)
\(68\) 1.37811 0.795651i 0.167120 0.0964868i
\(69\) 4.66436 + 8.07890i 0.561523 + 0.972586i
\(70\) −2.67916 5.29205i −0.320220 0.632521i
\(71\) −6.43570 1.72444i −0.763778 0.204654i −0.144157 0.989555i \(-0.546047\pi\)
−0.619621 + 0.784901i \(0.712714\pi\)
\(72\) 6.71797 + 6.71797i 0.791720 + 0.791720i
\(73\) −7.74069 2.07411i −0.905979 0.242756i −0.224397 0.974498i \(-0.572041\pi\)
−0.681582 + 0.731742i \(0.738708\pi\)
\(74\) −3.12511 + 5.41284i −0.363286 + 0.629230i
\(75\) −2.16379 3.74780i −0.249853 0.432759i
\(76\) 3.01857 + 11.2655i 0.346254 + 1.29224i
\(77\) 0.660669 2.01551i 0.0752902 0.229689i
\(78\) −5.61678 8.10100i −0.635975 0.917257i
\(79\) 2.75101 4.76489i 0.309513 0.536092i −0.668743 0.743493i \(-0.733167\pi\)
0.978256 + 0.207402i \(0.0665008\pi\)
\(80\) −8.71210 8.71210i −0.974042 0.974042i
\(81\) 1.00000 0.111111
\(82\) −24.9245 −2.75245
\(83\) −3.51255 3.51255i −0.385552 0.385552i 0.487546 0.873098i \(-0.337892\pi\)
−0.873098 + 0.487546i \(0.837892\pi\)
\(84\) 14.4635 + 0.795651i 1.57810 + 0.0868126i
\(85\) −0.0616859 + 0.230215i −0.00669078 + 0.0249703i
\(86\) −8.29005 + 2.22131i −0.893939 + 0.239530i
\(87\) 4.97256 + 2.87091i 0.533114 + 0.307793i
\(88\) 7.61643i 0.811914i
\(89\) −4.25897 1.14119i −0.451450 0.120966i 0.0259280 0.999664i \(-0.491746\pi\)
−0.477378 + 0.878698i \(0.658413\pi\)
\(90\) −2.24193 −0.236320
\(91\) −9.27917 2.21291i −0.972721 0.231976i
\(92\) 51.0743 5.32486
\(93\) 5.03926 + 1.35027i 0.522547 + 0.140016i
\(94\) 13.3088i 1.37270i
\(95\) −1.51277 0.873398i −0.155207 0.0896088i
\(96\) 21.3259 5.71424i 2.17656 0.583208i
\(97\) −3.20349 + 11.9556i −0.325265 + 1.21391i 0.588780 + 0.808293i \(0.299608\pi\)
−0.914045 + 0.405612i \(0.867058\pi\)
\(98\) 14.9355 11.9667i 1.50872 1.20882i
\(99\) −0.566870 0.566870i −0.0569725 0.0569725i
\(100\) −23.6933 −2.36933
\(101\) −12.2075 −1.21469 −0.607345 0.794438i \(-0.707765\pi\)
−0.607345 + 0.794438i \(0.707765\pi\)
\(102\) −0.561903 0.561903i −0.0556367 0.0556367i
\(103\) −8.55111 + 14.8110i −0.842566 + 1.45937i 0.0451528 + 0.998980i \(0.485623\pi\)
−0.887719 + 0.460387i \(0.847711\pi\)
\(104\) −34.1381 + 2.82783i −3.34752 + 0.277291i
\(105\) −1.61604 + 1.44751i −0.157709 + 0.141263i
\(106\) 3.80806 + 14.2119i 0.369871 + 1.38038i
\(107\) 3.30962 + 5.73242i 0.319953 + 0.554174i 0.980478 0.196630i \(-0.0629997\pi\)
−0.660525 + 0.750804i \(0.729666\pi\)
\(108\) 2.73748 4.74145i 0.263414 0.456246i
\(109\) 7.14245 + 1.91381i 0.684123 + 0.183310i 0.584108 0.811676i \(-0.301444\pi\)
0.100014 + 0.994986i \(0.468111\pi\)
\(110\) 1.27088 + 1.27088i 0.121174 + 0.121174i
\(111\) 2.20818 + 0.591680i 0.209591 + 0.0561598i
\(112\) 21.7375 33.2833i 2.05400 3.14498i
\(113\) −5.57880 9.66277i −0.524810 0.908997i −0.999583 0.0288885i \(-0.990803\pi\)
0.474773 0.880108i \(-0.342530\pi\)
\(114\) 5.04382 2.91205i 0.472397 0.272739i
\(115\) −5.40909 + 5.40909i −0.504400 + 0.504400i
\(116\) 27.2245 15.7181i 2.52773 1.45939i
\(117\) −2.33034 + 2.75128i −0.215440 + 0.254355i
\(118\) 34.0454i 3.13414i
\(119\) −0.767830 0.0422391i −0.0703869 0.00387205i
\(120\) −3.89530 + 6.74685i −0.355590 + 0.615901i
\(121\) 10.3573i 0.941574i
\(122\) −4.13671 + 15.4384i −0.374520 + 1.39773i
\(123\) 2.35949 + 8.80575i 0.212748 + 0.793988i
\(124\) 20.1971 20.1971i 1.81375 1.81375i
\(125\) 5.40844 5.40844i 0.483745 0.483745i
\(126\) −1.48557 7.07939i −0.132346 0.630682i
\(127\) 6.08635 + 3.51395i 0.540076 + 0.311813i 0.745110 0.666942i \(-0.232397\pi\)
−0.205034 + 0.978755i \(0.565730\pi\)
\(128\) 10.0209 37.3986i 0.885734 3.30560i
\(129\) 1.56956 + 2.71857i 0.138192 + 0.239356i
\(130\) 5.22446 6.16816i 0.458215 0.540984i
\(131\) 1.77697 + 1.02593i 0.155254 + 0.0896361i 0.575614 0.817721i \(-0.304763\pi\)
−0.420360 + 0.907357i \(0.638096\pi\)
\(132\) −4.23957 + 1.13599i −0.369008 + 0.0988753i
\(133\) 1.75554 5.35565i 0.152225 0.464394i
\(134\) −30.0479 + 17.3482i −2.59575 + 1.49865i
\(135\) 0.212233 + 0.792066i 0.0182661 + 0.0681702i
\(136\) −2.66728 + 0.714696i −0.228718 + 0.0612847i
\(137\) −9.12079 + 2.44391i −0.779242 + 0.208797i −0.626450 0.779461i \(-0.715493\pi\)
−0.152791 + 0.988258i \(0.548826\pi\)
\(138\) −6.60119 24.6360i −0.561931 2.09715i
\(139\) 11.2360 6.48710i 0.953024 0.550229i 0.0590051 0.998258i \(-0.481207\pi\)
0.894019 + 0.448029i \(0.147874\pi\)
\(140\) 2.43943 + 11.6249i 0.206169 + 0.982484i
\(141\) −4.70196 + 1.25989i −0.395976 + 0.106101i
\(142\) 15.7756 + 9.10807i 1.32386 + 0.764333i
\(143\) 2.88061 0.238615i 0.240889 0.0199540i
\(144\) −7.51260 13.0122i −0.626050 1.08435i
\(145\) −1.21860 + 4.54789i −0.101200 + 0.377682i
\(146\) 18.9745 + 10.9549i 1.57034 + 0.906637i
\(147\) −5.64168 4.14384i −0.465318 0.341778i
\(148\) 8.85026 8.85026i 0.727487 0.727487i
\(149\) −1.66901 + 1.66901i −0.136731 + 0.136731i −0.772160 0.635429i \(-0.780823\pi\)
0.635429 + 0.772160i \(0.280823\pi\)
\(150\) 3.06229 + 11.4286i 0.250035 + 0.933143i
\(151\) −3.69311 + 13.7829i −0.300541 + 1.12164i 0.636174 + 0.771545i \(0.280516\pi\)
−0.936716 + 0.350091i \(0.886151\pi\)
\(152\) 20.2385i 1.64156i
\(153\) −0.145326 + 0.251711i −0.0117489 + 0.0203497i
\(154\) −3.17096 + 4.85522i −0.255523 + 0.391244i
\(155\) 4.27800i 0.343617i
\(156\) 6.66578 + 18.5807i 0.533689 + 1.48765i
\(157\) −19.5507 + 11.2876i −1.56031 + 0.900848i −0.563090 + 0.826396i \(0.690387\pi\)
−0.997225 + 0.0744522i \(0.976279\pi\)
\(158\) −10.6368 + 10.6368i −0.846219 + 0.846219i
\(159\) 4.66051 2.69075i 0.369602 0.213390i
\(160\) 9.05212 + 15.6787i 0.715633 + 1.23951i
\(161\) −20.6646 13.4962i −1.62860 1.06365i
\(162\) −2.64088 0.707621i −0.207487 0.0555959i
\(163\) −10.0073 10.0073i −0.783832 0.783832i 0.196643 0.980475i \(-0.436996\pi\)
−0.980475 + 0.196643i \(0.936996\pi\)
\(164\) 48.2111 + 12.9181i 3.76465 + 1.00874i
\(165\) 0.328689 0.569307i 0.0255884 0.0443205i
\(166\) 6.79065 + 11.7617i 0.527056 + 0.912889i
\(167\) 3.99207 + 14.8986i 0.308916 + 1.15289i 0.929522 + 0.368767i \(0.120220\pi\)
−0.620606 + 0.784123i \(0.713113\pi\)
\(168\) −23.8858 7.82958i −1.84283 0.604066i
\(169\) −2.13903 12.8228i −0.164541 0.986370i
\(170\) 0.325810 0.564319i 0.0249885 0.0432813i
\(171\) −1.50629 1.50629i −0.115189 0.115189i
\(172\) 17.1866 1.31046
\(173\) −3.06425 −0.232971 −0.116485 0.993192i \(-0.537163\pi\)
−0.116485 + 0.993192i \(0.537163\pi\)
\(174\) −11.1004 11.1004i −0.841518 0.841518i
\(175\) 9.58633 + 6.26087i 0.724658 + 0.473277i
\(176\) −3.11756 + 11.6349i −0.234995 + 0.877012i
\(177\) −12.0281 + 3.22293i −0.904090 + 0.242250i
\(178\) 10.4399 + 6.02747i 0.782502 + 0.451778i
\(179\) 1.28907i 0.0963499i 0.998839 + 0.0481749i \(0.0153405\pi\)
−0.998839 + 0.0481749i \(0.984659\pi\)
\(180\) 4.33652 + 1.16197i 0.323225 + 0.0866080i
\(181\) 14.2160 1.05667 0.528335 0.849036i \(-0.322817\pi\)
0.528335 + 0.849036i \(0.322817\pi\)
\(182\) 22.9392 + 12.4102i 1.70037 + 0.919902i
\(183\) 5.84594 0.432145
\(184\) −85.6088 22.9388i −6.31117 1.69107i
\(185\) 1.87460i 0.137823i
\(186\) −12.3526 7.13177i −0.905735 0.522927i
\(187\) 0.225068 0.0603068i 0.0164586 0.00441007i
\(188\) −6.89781 + 25.7430i −0.503075 + 1.87750i
\(189\) −2.36049 + 1.19502i −0.171700 + 0.0869251i
\(190\) 3.37700 + 3.37700i 0.244994 + 0.244994i
\(191\) 20.2815 1.46752 0.733758 0.679411i \(-0.237764\pi\)
0.733758 + 0.679411i \(0.237764\pi\)
\(192\) −30.3120 −2.18758
\(193\) −5.15026 5.15026i −0.370724 0.370724i 0.497017 0.867741i \(-0.334429\pi\)
−0.867741 + 0.497017i \(0.834429\pi\)
\(194\) 16.9200 29.3064i 1.21479 2.10407i
\(195\) −2.67377 1.26187i −0.191472 0.0903644i
\(196\) −35.0918 + 15.4061i −2.50656 + 1.10043i
\(197\) −4.20373 15.6885i −0.299504 1.11776i −0.937574 0.347785i \(-0.886934\pi\)
0.638071 0.769978i \(-0.279733\pi\)
\(198\) 1.09590 + 1.89816i 0.0778825 + 0.134896i
\(199\) 0.528554 0.915483i 0.0374682 0.0648968i −0.846683 0.532097i \(-0.821404\pi\)
0.884151 + 0.467200i \(0.154737\pi\)
\(200\) 39.7139 + 10.6413i 2.80820 + 0.752455i
\(201\) 8.97356 + 8.97356i 0.632946 + 0.632946i
\(202\) 32.2384 + 8.63826i 2.26829 + 0.607786i
\(203\) −15.1685 0.834432i −1.06462 0.0585657i
\(204\) 0.795651 + 1.37811i 0.0557067 + 0.0964868i
\(205\) −6.47397 + 3.73775i −0.452162 + 0.261056i
\(206\) 33.0630 33.0630i 2.30360 2.30360i
\(207\) −8.07890 + 4.66436i −0.561523 + 0.324195i
\(208\) 53.3071 + 9.65363i 3.69618 + 0.669359i
\(209\) 1.70774i 0.118127i
\(210\) 5.29205 2.67916i 0.365186 0.184879i
\(211\) 0.948161 1.64226i 0.0652741 0.113058i −0.831541 0.555463i \(-0.812541\pi\)
0.896816 + 0.442405i \(0.145875\pi\)
\(212\) 29.4634i 2.02356i
\(213\) 1.72444 6.43570i 0.118157 0.440967i
\(214\) −4.68390 17.4806i −0.320185 1.19495i
\(215\) −1.82017 + 1.82017i −0.124134 + 0.124134i
\(216\) −6.71797 + 6.71797i −0.457100 + 0.457100i
\(217\) −13.5087 + 2.83474i −0.917032 + 0.192435i
\(218\) −17.5081 10.1083i −1.18580 0.684620i
\(219\) 2.07411 7.74069i 0.140155 0.523067i
\(220\) −1.79956 3.11693i −0.121326 0.210143i
\(221\) −0.353869 0.986404i −0.0238038 0.0663527i
\(222\) −5.41284 3.12511i −0.363286 0.209743i
\(223\) 5.32451 1.42670i 0.356556 0.0955388i −0.0760947 0.997101i \(-0.524245\pi\)
0.432650 + 0.901562i \(0.357578\pi\)
\(224\) −43.5108 + 38.9733i −2.90719 + 2.60401i
\(225\) 3.74780 2.16379i 0.249853 0.144253i
\(226\) 7.89535 + 29.4658i 0.525191 + 1.96004i
\(227\) 15.4279 4.13390i 1.02399 0.274377i 0.292525 0.956258i \(-0.405504\pi\)
0.731463 + 0.681881i \(0.238838\pi\)
\(228\) −11.2655 + 3.01857i −0.746074 + 0.199910i
\(229\) 3.20721 + 11.9695i 0.211939 + 0.790966i 0.987222 + 0.159352i \(0.0509405\pi\)
−0.775283 + 0.631614i \(0.782393\pi\)
\(230\) 18.1123 10.4572i 1.19429 0.689524i
\(231\) 2.01551 + 0.660669i 0.132611 + 0.0434688i
\(232\) −52.6921 + 14.1188i −3.45941 + 0.926946i
\(233\) −2.95409 1.70554i −0.193529 0.111734i 0.400105 0.916469i \(-0.368974\pi\)
−0.593633 + 0.804736i \(0.702307\pi\)
\(234\) 8.10100 5.61678i 0.529579 0.367180i
\(235\) −1.99582 3.45687i −0.130193 0.225501i
\(236\) −17.6454 + 65.8535i −1.14862 + 4.28670i
\(237\) 4.76489 + 2.75101i 0.309513 + 0.178697i
\(238\) 1.99785 + 0.654880i 0.129502 + 0.0424496i
\(239\) 0.615965 0.615965i 0.0398435 0.0398435i −0.686904 0.726748i \(-0.741031\pi\)
0.726748 + 0.686904i \(0.241031\pi\)
\(240\) 8.71210 8.71210i 0.562363 0.562363i
\(241\) 1.87818 + 7.00948i 0.120984 + 0.451520i 0.999665 0.0258904i \(-0.00824209\pi\)
−0.878680 + 0.477411i \(0.841575\pi\)
\(242\) −7.32905 + 27.3524i −0.471129 + 1.75828i
\(243\) 1.00000i 0.0641500i
\(244\) 16.0031 27.7182i 1.02450 1.77448i
\(245\) 2.08484 5.34805i 0.133196 0.341674i
\(246\) 24.9245i 1.58913i
\(247\) 7.65441 0.634052i 0.487038 0.0403438i
\(248\) −42.9246 + 24.7826i −2.72572 + 1.57369i
\(249\) 3.51255 3.51255i 0.222599 0.222599i
\(250\) −18.1101 + 10.4559i −1.14539 + 0.661289i
\(251\) −7.68725 13.3147i −0.485215 0.840417i 0.514641 0.857406i \(-0.327925\pi\)
−0.999856 + 0.0169888i \(0.994592\pi\)
\(252\) −0.795651 + 14.4635i −0.0501213 + 0.911115i
\(253\) 7.22376 + 1.93560i 0.454154 + 0.121690i
\(254\) −13.5867 13.5867i −0.852508 0.852508i
\(255\) −0.230215 0.0616859i −0.0144166 0.00386292i
\(256\) −22.6161 + 39.1722i −1.41350 + 2.44826i
\(257\) 11.1313 + 19.2801i 0.694354 + 1.20266i 0.970398 + 0.241512i \(0.0776432\pi\)
−0.276044 + 0.961145i \(0.589023\pi\)
\(258\) −2.22131 8.29005i −0.138293 0.516116i
\(259\) −5.91946 + 1.24217i −0.367817 + 0.0771847i
\(260\) −13.3025 + 9.22319i −0.824984 + 0.571998i
\(261\) −2.87091 + 4.97256i −0.177705 + 0.307793i
\(262\) −3.96678 3.96678i −0.245068 0.245068i
\(263\) 13.1804 0.812740 0.406370 0.913709i \(-0.366794\pi\)
0.406370 + 0.913709i \(0.366794\pi\)
\(264\) 7.61643 0.468759
\(265\) 3.12036 + 3.12036i 0.191682 + 0.191682i
\(266\) −8.42593 + 12.9014i −0.516627 + 0.791033i
\(267\) 1.14119 4.25897i 0.0698395 0.260645i
\(268\) 67.1126 17.9828i 4.09955 1.09847i
\(269\) 1.75759 + 1.01475i 0.107162 + 0.0618702i 0.552623 0.833431i \(-0.313627\pi\)
−0.445461 + 0.895301i \(0.646960\pi\)
\(270\) 2.24193i 0.136439i
\(271\) 27.0730 + 7.25419i 1.64457 + 0.440661i 0.958085 0.286484i \(-0.0924866\pi\)
0.686484 + 0.727145i \(0.259153\pi\)
\(272\) 4.36709 0.264794
\(273\) 2.21291 9.27917i 0.133931 0.561601i
\(274\) 25.8162 1.55962
\(275\) −3.35110 0.897926i −0.202079 0.0541469i
\(276\) 51.0743i 3.07431i
\(277\) −9.41668 5.43672i −0.565794 0.326661i 0.189674 0.981847i \(-0.439257\pi\)
−0.755468 + 0.655186i \(0.772590\pi\)
\(278\) −34.2633 + 9.18081i −2.05497 + 0.550629i
\(279\) −1.35027 + 5.03926i −0.0808383 + 0.301693i
\(280\) 1.13217 20.5809i 0.0676603 1.22994i
\(281\) −5.00498 5.00498i −0.298572 0.298572i 0.541882 0.840454i \(-0.317712\pi\)
−0.840454 + 0.541882i \(0.817712\pi\)
\(282\) 13.3088 0.792528
\(283\) −0.922161 −0.0548168 −0.0274084 0.999624i \(-0.508725\pi\)
−0.0274084 + 0.999624i \(0.508725\pi\)
\(284\) −25.7939 25.7939i −1.53059 1.53059i
\(285\) 0.873398 1.51277i 0.0517357 0.0896088i
\(286\) −7.77619 1.40823i −0.459816 0.0832702i
\(287\) −16.0926 17.9663i −0.949919 1.06051i
\(288\) 5.71424 + 21.3259i 0.336715 + 1.25664i
\(289\) 8.45776 + 14.6493i 0.497515 + 0.861722i
\(290\) 6.43637 11.1481i 0.377956 0.654640i
\(291\) −11.9556 3.20349i −0.700849 0.187792i
\(292\) −31.0242 31.0242i −1.81556 1.81556i
\(293\) −14.3112 3.83466i −0.836067 0.224023i −0.184708 0.982793i \(-0.559134\pi\)
−0.651359 + 0.758770i \(0.725801\pi\)
\(294\) 11.9667 + 14.9355i 0.697913 + 0.871058i
\(295\) −5.10554 8.84306i −0.297256 0.514863i
\(296\) −18.8094 + 10.8596i −1.09327 + 0.631201i
\(297\) 0.566870 0.566870i 0.0328931 0.0328931i
\(298\) 5.58868 3.22663i 0.323744 0.186913i
\(299\) 5.99366 33.0968i 0.346622 1.91404i
\(300\) 23.6933i 1.36794i
\(301\) −6.95369 4.54149i −0.400804 0.261767i
\(302\) 19.5061 33.7856i 1.12245 1.94414i
\(303\) 12.2075i 0.701301i
\(304\) −8.28402 + 30.9164i −0.475121 + 1.77318i
\(305\) 1.24070 + 4.63037i 0.0710425 + 0.265134i
\(306\) 0.561903 0.561903i 0.0321219 0.0321219i
\(307\) 2.59247 2.59247i 0.147960 0.147960i −0.629246 0.777206i \(-0.716636\pi\)
0.777206 + 0.629246i \(0.216636\pi\)
\(308\) 8.64994 7.74788i 0.492876 0.441477i
\(309\) −14.8110 8.55111i −0.842566 0.486456i
\(310\) 3.02720 11.2977i 0.171933 0.641664i
\(311\) −4.16328 7.21101i −0.236078 0.408899i 0.723508 0.690316i \(-0.242529\pi\)
−0.959585 + 0.281418i \(0.909195\pi\)
\(312\) −2.82783 34.1381i −0.160094 1.93269i
\(313\) 8.01564 + 4.62783i 0.453071 + 0.261580i 0.709126 0.705082i \(-0.249090\pi\)
−0.256056 + 0.966662i \(0.582423\pi\)
\(314\) 59.6183 15.9747i 3.36445 0.901502i
\(315\) −1.44751 1.61604i −0.0815581 0.0910536i
\(316\) 26.0875 15.0616i 1.46754 0.847284i
\(317\) −4.25100 15.8649i −0.238760 0.891064i −0.976418 0.215889i \(-0.930735\pi\)
0.737658 0.675175i \(-0.235932\pi\)
\(318\) −14.2119 + 3.80806i −0.796961 + 0.213545i
\(319\) 4.44622 1.19136i 0.248940 0.0667034i
\(320\) −6.43323 24.0091i −0.359628 1.34215i
\(321\) −5.73242 + 3.30962i −0.319953 + 0.184725i
\(322\) 45.0226 + 50.2644i 2.50901 + 2.80113i
\(323\) 0.598055 0.160248i 0.0332767 0.00891645i
\(324\) 4.74145 + 2.73748i 0.263414 + 0.152082i
\(325\) −2.78046 + 15.3536i −0.154232 + 0.851665i
\(326\) 19.3467 + 33.5094i 1.07151 + 1.85591i
\(327\) −1.91381 + 7.14245i −0.105834 + 0.394978i
\(328\) −75.0078 43.3058i −4.14161 2.39116i
\(329\) 9.59333 8.59289i 0.528898 0.473741i
\(330\) −1.27088 + 1.27088i −0.0699597 + 0.0699597i
\(331\) 15.3059 15.3059i 0.841291 0.841291i −0.147736 0.989027i \(-0.547199\pi\)
0.989027 + 0.147736i \(0.0471986\pi\)
\(332\) −7.03904 26.2701i −0.386318 1.44176i
\(333\) −0.591680 + 2.20818i −0.0324239 + 0.121007i
\(334\) 42.1703i 2.30746i
\(335\) −5.20316 + 9.01214i −0.284279 + 0.492386i
\(336\) 33.2833 + 21.7375i 1.81575 + 1.18588i
\(337\) 29.6410i 1.61465i 0.590110 + 0.807323i \(0.299084\pi\)
−0.590110 + 0.807323i \(0.700916\pi\)
\(338\) −3.42477 + 35.3771i −0.186283 + 1.92426i
\(339\) 9.66277 5.57880i 0.524810 0.302999i
\(340\) −0.922688 + 0.922688i −0.0500398 + 0.0500398i
\(341\) 3.62203 2.09118i 0.196144 0.113244i
\(342\) 2.91205 + 5.04382i 0.157466 + 0.272739i
\(343\) 18.2691 + 3.03956i 0.986440 + 0.164121i
\(344\) −28.8075 7.71896i −1.55320 0.416178i
\(345\) −5.40909 5.40909i −0.291216 0.291216i
\(346\) 8.09231 + 2.16833i 0.435045 + 0.116570i
\(347\) −10.6740 + 18.4879i −0.573011 + 0.992483i 0.423244 + 0.906016i \(0.360891\pi\)
−0.996255 + 0.0864677i \(0.972442\pi\)
\(348\) 15.7181 + 27.2245i 0.842577 + 1.45939i
\(349\) 0.717765 + 2.67873i 0.0384211 + 0.143389i 0.982472 0.186410i \(-0.0596854\pi\)
−0.944051 + 0.329800i \(0.893019\pi\)
\(350\) −20.8860 23.3177i −1.11640 1.24638i
\(351\) −2.75128 2.33034i −0.146852 0.124384i
\(352\) 8.84974 15.3282i 0.471693 0.816996i
\(353\) 6.50619 + 6.50619i 0.346290 + 0.346290i 0.858725 0.512436i \(-0.171257\pi\)
−0.512436 + 0.858725i \(0.671257\pi\)
\(354\) 34.0454 1.80949
\(355\) 5.46349 0.289972
\(356\) −17.0697 17.0697i −0.904692 0.904692i
\(357\) 0.0422391 0.767830i 0.00223553 0.0406379i
\(358\) 0.912175 3.40428i 0.0482100 0.179922i
\(359\) −20.4884 + 5.48985i −1.08134 + 0.289743i −0.755143 0.655560i \(-0.772433\pi\)
−0.326193 + 0.945303i \(0.605766\pi\)
\(360\) −6.74685 3.89530i −0.355590 0.205300i
\(361\) 14.4622i 0.761166i
\(362\) −37.5428 10.0596i −1.97320 0.528719i
\(363\) 10.3573 0.543618
\(364\) −37.9389 35.8939i −1.98854 1.88135i
\(365\) 6.57133 0.343959
\(366\) −15.4384 4.13671i −0.806979 0.216229i
\(367\) 4.94793i 0.258280i −0.991626 0.129140i \(-0.958778\pi\)
0.991626 0.129140i \(-0.0412217\pi\)
\(368\) 121.387 + 70.0829i 6.32774 + 3.65332i
\(369\) −8.80575 + 2.35949i −0.458409 + 0.122830i
\(370\) 1.32650 4.95058i 0.0689616 0.257368i
\(371\) −7.78559 + 11.9209i −0.404208 + 0.618902i
\(372\) 20.1971 + 20.1971i 1.04717 + 1.04717i
\(373\) 15.7856 0.817346 0.408673 0.912681i \(-0.365992\pi\)
0.408673 + 0.912681i \(0.365992\pi\)
\(374\) −0.637051 −0.0329411
\(375\) 5.40844 + 5.40844i 0.279291 + 0.279291i
\(376\) 23.1237 40.0515i 1.19252 2.06550i
\(377\) −6.99068 19.4864i −0.360038 1.00360i
\(378\) 7.07939 1.48557i 0.364124 0.0764097i
\(379\) 4.90908 + 18.3209i 0.252163 + 0.941084i 0.969647 + 0.244509i \(0.0786268\pi\)
−0.717484 + 0.696575i \(0.754707\pi\)
\(380\) −4.78181 8.28235i −0.245302 0.424875i
\(381\) −3.51395 + 6.08635i −0.180025 + 0.311813i
\(382\) −53.5609 14.3516i −2.74041 0.734291i
\(383\) 24.1091 + 24.1091i 1.23192 + 1.23192i 0.963227 + 0.268690i \(0.0865908\pi\)
0.268690 + 0.963227i \(0.413409\pi\)
\(384\) 37.3986 + 10.0209i 1.90849 + 0.511379i
\(385\) −0.0955340 + 1.73663i −0.00486886 + 0.0885071i
\(386\) 9.95676 + 17.2456i 0.506786 + 0.877779i
\(387\) −2.71857 + 1.56956i −0.138192 + 0.0797855i
\(388\) −47.9173 + 47.9173i −2.43263 + 2.43263i
\(389\) −13.4365 + 7.75759i −0.681260 + 0.393325i −0.800330 0.599560i \(-0.795342\pi\)
0.119070 + 0.992886i \(0.462009\pi\)
\(390\) 6.16816 + 5.22446i 0.312337 + 0.264551i
\(391\) 2.71140i 0.137121i
\(392\) 65.7389 10.0625i 3.32031 0.508231i
\(393\) −1.02593 + 1.77697i −0.0517514 + 0.0896361i
\(394\) 44.4062i 2.23715i
\(395\) −1.16771 + 4.35796i −0.0587540 + 0.219273i
\(396\) −1.13599 4.23957i −0.0570857 0.213047i
\(397\) −9.38202 + 9.38202i −0.470870 + 0.470870i −0.902196 0.431326i \(-0.858046\pi\)
0.431326 + 0.902196i \(0.358046\pi\)
\(398\) −2.04366 + 2.04366i −0.102439 + 0.102439i
\(399\) 5.35565 + 1.75554i 0.268118 + 0.0878869i
\(400\) −56.3115 32.5114i −2.81557 1.62557i
\(401\) −4.29844 + 16.0420i −0.214654 + 0.801100i 0.771634 + 0.636067i \(0.219440\pi\)
−0.986288 + 0.165033i \(0.947227\pi\)
\(402\) −17.3482 30.0479i −0.865249 1.49865i
\(403\) −10.7178 15.4581i −0.533892 0.770025i
\(404\) −57.8811 33.4177i −2.87969 1.66259i
\(405\) −0.792066 + 0.212233i −0.0393581 + 0.0105460i
\(406\) 39.4676 + 12.9372i 1.95874 + 0.642060i
\(407\) 1.58715 0.916344i 0.0786723 0.0454215i
\(408\) −0.714696 2.66728i −0.0353827 0.132050i
\(409\) −34.7367 + 9.30766i −1.71762 + 0.460234i −0.977271 0.211992i \(-0.932005\pi\)
−0.740346 + 0.672226i \(0.765338\pi\)
\(410\) 19.7419 5.28982i 0.974981 0.261245i
\(411\) −2.44391 9.12079i −0.120549 0.449895i
\(412\) −81.0893 + 46.8169i −3.99498 + 2.30650i
\(413\) 24.5408 21.9816i 1.20758 1.08164i
\(414\) 24.6360 6.60119i 1.21079 0.324431i
\(415\) 3.52765 + 2.03669i 0.173165 + 0.0999771i
\(416\) −71.9894 33.9750i −3.52957 1.66576i
\(417\) 6.48710 + 11.2360i 0.317675 + 0.550229i
\(418\) 1.20844 4.50994i 0.0591065 0.220588i
\(419\) 17.3534 + 10.0190i 0.847767 + 0.489459i 0.859897 0.510468i \(-0.170528\pi\)
−0.0121297 + 0.999926i \(0.503861\pi\)
\(420\) −11.6249 + 2.43943i −0.567237 + 0.119032i
\(421\) 9.14971 9.14971i 0.445929 0.445929i −0.448069 0.893999i \(-0.647888\pi\)
0.893999 + 0.448069i \(0.147888\pi\)
\(422\) −3.66607 + 3.66607i −0.178462 + 0.178462i
\(423\) −1.25989 4.70196i −0.0612577 0.228617i
\(424\) −13.2328 + 49.3855i −0.642642 + 2.39837i
\(425\) 1.25782i 0.0610132i
\(426\) −9.10807 + 15.7756i −0.441288 + 0.764333i
\(427\) −13.7993 + 6.98604i −0.667795 + 0.338078i
\(428\) 36.2400i 1.75173i
\(429\) 0.238615 + 2.88061i 0.0115205 + 0.139077i
\(430\) 6.09483 3.51885i 0.293919 0.169694i
\(431\) 8.69313 8.69313i 0.418734 0.418734i −0.466033 0.884767i \(-0.654317\pi\)
0.884767 + 0.466033i \(0.154317\pi\)
\(432\) 13.0122 7.51260i 0.626050 0.361450i
\(433\) 11.2493 + 19.4844i 0.540609 + 0.936362i 0.998869 + 0.0475437i \(0.0151393\pi\)
−0.458261 + 0.888818i \(0.651527\pi\)
\(434\) 37.6808 + 2.07286i 1.80874 + 0.0995003i
\(435\) −4.54789 1.21860i −0.218055 0.0584276i
\(436\) 28.6265 + 28.6265i 1.37096 + 1.37096i
\(437\) 19.1951 + 5.14331i 0.918226 + 0.246038i
\(438\) −10.9549 + 18.9745i −0.523447 + 0.906637i
\(439\) −8.42215 14.5876i −0.401967 0.696228i 0.591996 0.805941i \(-0.298340\pi\)
−0.993963 + 0.109713i \(0.965007\pi\)
\(440\) 1.61646 + 6.03271i 0.0770617 + 0.287598i
\(441\) 4.14384 5.64168i 0.197326 0.268652i
\(442\) 0.236525 + 2.85538i 0.0112503 + 0.135816i
\(443\) −6.31905 + 10.9449i −0.300227 + 0.520008i −0.976187 0.216930i \(-0.930396\pi\)
0.675960 + 0.736938i \(0.263729\pi\)
\(444\) 8.85026 + 8.85026i 0.420015 + 0.420015i
\(445\) 3.61558 0.171395
\(446\) −15.0709 −0.713629
\(447\) −1.66901 1.66901i −0.0789416 0.0789416i
\(448\) 71.5513 36.2236i 3.38048 1.71140i
\(449\) −2.81967 + 10.5232i −0.133069 + 0.496618i −0.999998 0.00181175i \(-0.999423\pi\)
0.866930 + 0.498430i \(0.166090\pi\)
\(450\) −11.4286 + 3.06229i −0.538751 + 0.144358i
\(451\) 6.32924 + 3.65419i 0.298032 + 0.172069i
\(452\) 61.0873i 2.87331i
\(453\) −13.7829 3.69311i −0.647577 0.173518i
\(454\) −43.6685 −2.04947
\(455\) 7.81937 0.216578i 0.366578 0.0101534i
\(456\) 20.2385 0.947754
\(457\) 0.259222 + 0.0694582i 0.0121259 + 0.00324912i 0.264877 0.964282i \(-0.414669\pi\)
−0.252751 + 0.967531i \(0.581335\pi\)
\(458\) 33.8794i 1.58308i
\(459\) −0.251711 0.145326i −0.0117489 0.00678322i
\(460\) −40.4542 + 10.8397i −1.88619 + 0.505402i
\(461\) −8.32642 + 31.0746i −0.387800 + 1.44729i 0.445906 + 0.895080i \(0.352882\pi\)
−0.833706 + 0.552209i \(0.813785\pi\)
\(462\) −4.85522 3.17096i −0.225885 0.147527i
\(463\) 23.1731 + 23.1731i 1.07695 + 1.07695i 0.996782 + 0.0801653i \(0.0255448\pi\)
0.0801653 + 0.996782i \(0.474455\pi\)
\(464\) 86.2719 4.00507
\(465\) −4.27800 −0.198387
\(466\) 6.59451 + 6.59451i 0.305485 + 0.305485i
\(467\) −3.81254 + 6.60352i −0.176423 + 0.305574i −0.940653 0.339370i \(-0.889786\pi\)
0.764230 + 0.644944i \(0.223119\pi\)
\(468\) −18.5807 + 6.66578i −0.858895 + 0.308126i
\(469\) −31.9056 10.4584i −1.47326 0.482924i
\(470\) 2.82457 + 10.5414i 0.130288 + 0.486241i
\(471\) −11.2876 19.5507i −0.520105 0.900848i
\(472\) 59.1531 102.456i 2.72274 4.71593i
\(473\) 2.43081 + 0.651334i 0.111769 + 0.0299484i
\(474\) −10.6368 10.6368i −0.488565 0.488565i
\(475\) −8.90461 2.38598i −0.408571 0.109476i
\(476\) −3.52500 2.30219i −0.161568 0.105521i
\(477\) 2.69075 + 4.66051i 0.123201 + 0.213390i
\(478\) −2.06256 + 1.19082i −0.0943392 + 0.0544667i
\(479\) −4.06315 + 4.06315i −0.185650 + 0.185650i −0.793813 0.608162i \(-0.791907\pi\)
0.608162 + 0.793813i \(0.291907\pi\)
\(480\) −15.6787 + 9.05212i −0.715633 + 0.413171i
\(481\) −4.69649 6.77368i −0.214142 0.308853i
\(482\) 19.8402i 0.903697i
\(483\) 13.4962 20.6646i 0.614097 0.940274i
\(484\) 28.3529 49.1087i 1.28877 2.23221i
\(485\) 10.1495i 0.460865i
\(486\) 0.707621 2.64088i 0.0320983 0.119793i
\(487\) 1.00122 + 3.73662i 0.0453698 + 0.169322i 0.984893 0.173162i \(-0.0553984\pi\)
−0.939524 + 0.342484i \(0.888732\pi\)
\(488\) −39.2729 + 39.2729i −1.77780 + 1.77780i
\(489\) 10.0073 10.0073i 0.452546 0.452546i
\(490\) −9.29019 + 12.6482i −0.419688 + 0.571390i
\(491\) −33.9925 19.6256i −1.53406 0.885691i −0.999169 0.0407714i \(-0.987018\pi\)
−0.534893 0.844920i \(-0.679648\pi\)
\(492\) −12.9181 + 48.2111i −0.582394 + 2.17352i
\(493\) −0.834432 1.44528i −0.0375809 0.0650921i
\(494\) −20.6630 3.74196i −0.929673 0.168359i
\(495\) 0.569307 + 0.328689i 0.0255884 + 0.0147735i
\(496\) 75.7159 20.2880i 3.39974 0.910959i
\(497\) 3.62028 + 17.2522i 0.162392 + 0.773866i
\(498\) −11.7617 + 6.79065i −0.527056 + 0.304296i
\(499\) 2.97967 + 11.1203i 0.133388 + 0.497811i 0.999999 0.00117270i \(-0.000373282\pi\)
−0.866611 + 0.498984i \(0.833707\pi\)
\(500\) 40.4493 10.8384i 1.80895 0.484706i
\(501\) −14.8986 + 3.99207i −0.665621 + 0.178353i
\(502\) 10.8793 + 40.6022i 0.485568 + 1.81216i
\(503\) −12.9603 + 7.48266i −0.577873 + 0.333635i −0.760288 0.649586i \(-0.774942\pi\)
0.182414 + 0.983222i \(0.441609\pi\)
\(504\) 7.82958 23.8858i 0.348757 1.06396i
\(505\) 9.66913 2.59083i 0.430271 0.115291i
\(506\) −17.7074 10.2234i −0.787190 0.454484i
\(507\) 12.8228 2.13903i 0.569481 0.0949976i
\(508\) 19.2387 + 33.3225i 0.853581 + 1.47845i
\(509\) 7.07706 26.4120i 0.313685 1.17069i −0.611522 0.791227i \(-0.709442\pi\)
0.925207 0.379462i \(-0.123891\pi\)
\(510\) 0.564319 + 0.325810i 0.0249885 + 0.0144271i
\(511\) 4.35438 + 20.7504i 0.192626 + 0.917945i
\(512\) 32.6898 32.6898i 1.44470 1.44470i
\(513\) 1.50629 1.50629i 0.0665045 0.0665045i
\(514\) −15.7535 58.7930i −0.694859 2.59325i
\(515\) 3.62966 13.5461i 0.159942 0.596912i
\(516\) 17.1866i 0.756597i
\(517\) −1.95120 + 3.37959i −0.0858139 + 0.148634i
\(518\) 16.5115 + 0.908316i 0.725476 + 0.0399091i
\(519\) 3.06425i 0.134506i
\(520\) 26.4395 9.48508i 1.15945 0.415948i
\(521\) 6.87190 3.96750i 0.301064 0.173819i −0.341857 0.939752i \(-0.611056\pi\)
0.642921 + 0.765933i \(0.277723\pi\)
\(522\) 11.1004 11.1004i 0.485851 0.485851i
\(523\) −2.98599 + 1.72396i −0.130568 + 0.0753837i −0.563861 0.825869i \(-0.690685\pi\)
0.433293 + 0.901253i \(0.357351\pi\)
\(524\) 5.61693 + 9.72881i 0.245377 + 0.425005i
\(525\) −6.26087 + 9.58633i −0.273247 + 0.418382i
\(526\) −34.8079 9.32675i −1.51770 0.406665i
\(527\) −1.07221 1.07221i −0.0467062 0.0467062i
\(528\) −11.6349 3.11756i −0.506343 0.135674i
\(529\) 32.0124 55.4472i 1.39185 2.41075i
\(530\) −6.03246 10.4485i −0.262033 0.453855i
\(531\) −3.22293 12.0281i −0.139863 0.521977i
\(532\) 22.9848 20.5878i 0.996516 0.892594i
\(533\) 14.0288 29.7255i 0.607654 1.28755i
\(534\) −6.02747 + 10.4399i −0.260834 + 0.451778i
\(535\) −3.83804 3.83804i −0.165933 0.165933i
\(536\) −120.568 −5.20775
\(537\) −1.28907 −0.0556276
\(538\) −3.92353 3.92353i −0.169155 0.169155i
\(539\) −5.54711 + 0.849081i −0.238931 + 0.0365725i
\(540\) −1.16197 + 4.33652i −0.0500031 + 0.186614i
\(541\) −2.58494 + 0.692633i −0.111135 + 0.0297786i −0.313958 0.949437i \(-0.601655\pi\)
0.202823 + 0.979215i \(0.434988\pi\)
\(542\) −66.3633 38.3149i −2.85055 1.64576i
\(543\) 14.2160i 0.610068i
\(544\) −6.19838 1.66085i −0.265754 0.0712085i
\(545\) −6.06346 −0.259730
\(546\) −12.4102 + 22.9392i −0.531106 + 0.981709i
\(547\) −34.9374 −1.49382 −0.746908 0.664927i \(-0.768463\pi\)
−0.746908 + 0.664927i \(0.768463\pi\)
\(548\) −49.9359 13.3803i −2.13316 0.571577i
\(549\) 5.84594i 0.249499i
\(550\) 8.21446 + 4.74262i 0.350266 + 0.202226i
\(551\) 11.8146 3.16570i 0.503317 0.134863i
\(552\) 22.9388 85.6088i 0.976341 3.64375i
\(553\) −14.5350 0.799584i −0.618091 0.0340018i
\(554\) 21.0211 + 21.0211i 0.893103 + 0.893103i
\(555\) −1.87460 −0.0795722
\(556\) 71.0331 3.01248
\(557\) −1.19623 1.19623i −0.0506861 0.0506861i 0.681309 0.731996i \(-0.261411\pi\)
−0.731996 + 0.681309i \(0.761411\pi\)
\(558\) 7.13177 12.3526i 0.301912 0.522927i
\(559\) 2.01688 11.1371i 0.0853049 0.471051i
\(560\) −10.1537 + 30.9760i −0.429071 + 1.30897i
\(561\) 0.0603068 + 0.225068i 0.00254616 + 0.00950239i
\(562\) 9.67591 + 16.7592i 0.408154 + 0.706943i
\(563\) −9.17247 + 15.8872i −0.386574 + 0.669565i −0.991986 0.126347i \(-0.959675\pi\)
0.605412 + 0.795912i \(0.293008\pi\)
\(564\) −25.7430 6.89781i −1.08398 0.290450i
\(565\) 6.46954 + 6.46954i 0.272176 + 0.272176i
\(566\) 2.43531 + 0.652540i 0.102364 + 0.0274283i
\(567\) −1.19502 2.36049i −0.0501862 0.0991313i
\(568\) 31.6501 + 54.8196i 1.32801 + 2.30018i
\(569\) 12.4249 7.17349i 0.520877 0.300728i −0.216416 0.976301i \(-0.569437\pi\)
0.737293 + 0.675573i \(0.236104\pi\)
\(570\) −3.37700 + 3.37700i −0.141447 + 0.141447i
\(571\) −5.06747 + 2.92571i −0.212067 + 0.122437i −0.602272 0.798291i \(-0.705738\pi\)
0.390205 + 0.920728i \(0.372404\pi\)
\(572\) 14.3115 + 6.75423i 0.598393 + 0.282408i
\(573\) 20.2815i 0.847271i
\(574\) 29.7854 + 58.8341i 1.24322 + 2.45569i
\(575\) −20.1854 + 34.9622i −0.841790 + 1.45802i
\(576\) 30.3120i 1.26300i
\(577\) 2.67664 9.98937i 0.111430 0.415863i −0.887565 0.460683i \(-0.847605\pi\)
0.998995 + 0.0448197i \(0.0142713\pi\)
\(578\) −11.9698 44.6718i −0.497877 1.85810i
\(579\) 5.15026 5.15026i 0.214037 0.214037i
\(580\) −18.2277 + 18.2277i −0.756864 + 0.756864i
\(581\) −4.09376 + 12.4889i −0.169838 + 0.518127i
\(582\) 29.3064 + 16.9200i 1.21479 + 0.701358i
\(583\) 1.11660 4.16720i 0.0462448 0.172588i
\(584\) 38.0679 + 65.9355i 1.57526 + 2.72843i
\(585\) 1.26187 2.67377i 0.0521719 0.110547i
\(586\) 35.0805 + 20.2537i 1.44916 + 0.836674i
\(587\) −28.5050 + 7.63789i −1.17653 + 0.315250i −0.793548 0.608507i \(-0.791769\pi\)
−0.382979 + 0.923757i \(0.625102\pi\)
\(588\) −15.4061 35.0918i −0.635336 1.44716i
\(589\) 9.62451 5.55671i 0.396571 0.228960i
\(590\) 7.22558 + 26.9662i 0.297472 + 1.11018i
\(591\) 15.6885 4.20373i 0.645341 0.172919i
\(592\) 33.1783 8.89011i 1.36362 0.365381i
\(593\) −7.03528 26.2560i −0.288904 1.07821i −0.945939 0.324345i \(-0.894856\pi\)
0.657034 0.753861i \(-0.271811\pi\)
\(594\) −1.89816 + 1.09590i −0.0778825 + 0.0449655i
\(595\) 0.617136 0.129503i 0.0253001 0.00530911i
\(596\) −12.4824 + 3.34465i −0.511300 + 0.137002i
\(597\) 0.915483 + 0.528554i 0.0374682 + 0.0216323i
\(598\) −39.2485 + 83.1634i −1.60499 + 3.40080i
\(599\) 14.5684 + 25.2331i 0.595247 + 1.03100i 0.993512 + 0.113727i \(0.0362790\pi\)
−0.398265 + 0.917270i \(0.630388\pi\)
\(600\) −10.6413 + 39.7139i −0.434430 + 1.62131i
\(601\) 22.2556 + 12.8493i 0.907826 + 0.524133i 0.879731 0.475472i \(-0.157723\pi\)
0.0280947 + 0.999605i \(0.491056\pi\)
\(602\) 15.1502 + 16.9141i 0.617476 + 0.689366i
\(603\) −8.97356 + 8.97356i −0.365432 + 0.365432i
\(604\) −55.2410 + 55.2410i −2.24773 + 2.24773i
\(605\) 2.19817 + 8.20368i 0.0893683 + 0.333527i
\(606\) −8.63826 + 32.2384i −0.350905 + 1.30960i
\(607\) 20.8561i 0.846524i −0.906007 0.423262i \(-0.860885\pi\)
0.906007 0.423262i \(-0.139115\pi\)
\(608\) 23.5157 40.7303i 0.953687 1.65183i
\(609\) 0.834432 15.1685i 0.0338129 0.614658i
\(610\) 13.1062i 0.530654i
\(611\) 15.8723 + 7.49086i 0.642126 + 0.303048i
\(612\) −1.37811 + 0.795651i −0.0557067 + 0.0321623i
\(613\) −1.99834 + 1.99834i −0.0807123 + 0.0807123i −0.746310 0.665598i \(-0.768177\pi\)
0.665598 + 0.746310i \(0.268177\pi\)
\(614\) −8.68088 + 5.01191i −0.350332 + 0.202264i
\(615\) −3.73775 6.47397i −0.150721 0.261056i
\(616\) −17.9785 + 9.10180i −0.724375 + 0.366722i
\(617\) 28.1706 + 7.54830i 1.13411 + 0.303883i 0.776579 0.630019i \(-0.216953\pi\)
0.357528 + 0.933902i \(0.383620\pi\)
\(618\) 33.0630 + 33.0630i 1.32999 + 1.32999i
\(619\) −44.5517 11.9376i −1.79069 0.479813i −0.798223 0.602362i \(-0.794226\pi\)
−0.992462 + 0.122549i \(0.960893\pi\)
\(620\) −11.7109 + 20.2839i −0.470322 + 0.814621i
\(621\) −4.66436 8.07890i −0.187174 0.324195i
\(622\) 5.89204 + 21.9894i 0.236249 + 0.881694i
\(623\) 2.39580 + 11.4170i 0.0959857 + 0.457412i
\(624\) −9.65363 + 53.3071i −0.386455 + 2.13399i
\(625\) 7.68298 13.3073i 0.307319 0.532293i
\(626\) −17.8936 17.8936i −0.715170 0.715170i
\(627\) −1.70774 −0.0682008
\(628\) −123.598 −4.93210
\(629\) −0.469838 0.469838i −0.0187337 0.0187337i
\(630\) 2.67916 + 5.29205i 0.106740 + 0.210840i
\(631\) −3.87044 + 14.4447i −0.154080 + 0.575034i 0.845102 + 0.534604i \(0.179539\pi\)
−0.999182 + 0.0404298i \(0.987127\pi\)
\(632\) −50.4916 + 13.5292i −2.00845 + 0.538162i
\(633\) 1.64226 + 0.948161i 0.0652741 + 0.0376860i
\(634\) 44.9054i 1.78342i
\(635\) −5.56657 1.49156i −0.220902 0.0591906i
\(636\) 29.4634 1.16830
\(637\) 5.86526 + 24.5479i 0.232390 + 0.972623i
\(638\) −12.5849 −0.498243
\(639\) 6.43570 + 1.72444i 0.254593 + 0.0682179i
\(640\) 31.7490i 1.25499i
\(641\) 14.6146 + 8.43773i 0.577241 + 0.333270i 0.760036 0.649881i \(-0.225181\pi\)
−0.182795 + 0.983151i \(0.558514\pi\)
\(642\) 17.4806 4.68390i 0.689903 0.184859i
\(643\) 4.07102 15.1933i 0.160545 0.599164i −0.838021 0.545638i \(-0.816287\pi\)
0.998566 0.0535258i \(-0.0170459\pi\)
\(644\) −61.0349 120.560i −2.40511 4.75074i
\(645\) −1.82017 1.82017i −0.0716691 0.0716691i
\(646\) −1.69278 −0.0666017
\(647\) 9.80443 0.385452 0.192726 0.981253i \(-0.438267\pi\)
0.192726 + 0.981253i \(0.438267\pi\)
\(648\) −6.71797 6.71797i −0.263907 0.263907i
\(649\) −4.99140 + 8.64536i −0.195930 + 0.339360i
\(650\) 18.2074 38.5795i 0.714152 1.51321i
\(651\) −2.83474 13.5087i −0.111102 0.529449i
\(652\) −20.0543 74.8438i −0.785389 2.93111i
\(653\) 1.81468 + 3.14312i 0.0710140 + 0.123000i 0.899346 0.437238i \(-0.144043\pi\)
−0.828332 + 0.560238i \(0.810710\pi\)
\(654\) 10.1083 17.5081i 0.395265 0.684620i
\(655\) −1.62521 0.435474i −0.0635023 0.0170154i
\(656\) 96.8563 + 96.8563i 3.78160 + 3.78160i
\(657\) 7.74069 + 2.07411i 0.301993 + 0.0809188i
\(658\) −31.4153 + 15.9043i −1.22470 + 0.620015i
\(659\) 5.04765 + 8.74278i 0.196628 + 0.340570i 0.947433 0.319954i \(-0.103667\pi\)
−0.750805 + 0.660524i \(0.770334\pi\)
\(660\) 3.11693 1.79956i 0.121326 0.0700477i
\(661\) 21.7446 21.7446i 0.845766 0.845766i −0.143836 0.989602i \(-0.545944\pi\)
0.989602 + 0.143836i \(0.0459437\pi\)
\(662\) −51.2519 + 29.5903i −1.99196 + 1.15006i
\(663\) 0.986404 0.353869i 0.0383088 0.0137431i
\(664\) 47.1944i 1.83150i
\(665\) −0.253854 + 4.61461i −0.00984405 + 0.178947i
\(666\) 3.12511 5.41284i 0.121095 0.209743i
\(667\) 53.5637i 2.07400i
\(668\) −21.8564 + 81.5693i −0.845650 + 3.15601i
\(669\) 1.42670 + 5.32451i 0.0551593 + 0.205857i
\(670\) 20.1181 20.1181i 0.777229 0.777229i
\(671\) 3.31389 3.31389i 0.127931 0.127931i
\(672\) −38.9733 43.5108i −1.50343 1.67847i
\(673\) −6.14654 3.54871i −0.236932 0.136793i 0.376834 0.926281i \(-0.377013\pi\)
−0.613766 + 0.789488i \(0.710346\pi\)
\(674\) 20.9746 78.2781i 0.807910 3.01516i
\(675\) 2.16379 + 3.74780i 0.0832845 + 0.144253i
\(676\) 24.9600 66.6542i 0.960002 2.56362i
\(677\) 11.0871 + 6.40112i 0.426111 + 0.246015i 0.697688 0.716401i \(-0.254212\pi\)
−0.271578 + 0.962417i \(0.587545\pi\)
\(678\) −29.4658 + 7.89535i −1.13163 + 0.303219i
\(679\) 32.0493 6.72539i 1.22994 0.258097i
\(680\) 1.96098 1.13217i 0.0752002 0.0434168i
\(681\) 4.13390 + 15.4279i 0.158412 + 0.591200i
\(682\) −11.0451 + 2.95952i −0.422938 + 0.113326i
\(683\) 21.3543 5.72186i 0.817098 0.218941i 0.174021 0.984742i \(-0.444324\pi\)
0.643077 + 0.765801i \(0.277657\pi\)
\(684\) −3.01857 11.2655i −0.115418 0.430746i
\(685\) 6.70559 3.87147i 0.256207 0.147921i
\(686\) −46.0956 20.9547i −1.75994 0.800055i
\(687\) −11.9695 + 3.20721i −0.456664 + 0.122363i
\(688\) 40.8470 + 23.5830i 1.55728 + 0.899094i
\(689\) −19.0927 3.45759i −0.727374 0.131724i
\(690\) 10.4572 + 18.1123i 0.398097 + 0.689524i
\(691\) −3.23842 + 12.0860i −0.123195 + 0.459772i −0.999769 0.0214965i \(-0.993157\pi\)
0.876574 + 0.481268i \(0.159824\pi\)
\(692\) −14.5290 8.38832i −0.552310 0.318876i
\(693\) −0.660669 + 2.01551i −0.0250967 + 0.0765630i
\(694\) 41.2712 41.2712i 1.56663 1.56663i
\(695\) −7.52286 + 7.52286i −0.285358 + 0.285358i
\(696\) −14.1188 52.6921i −0.535172 1.99729i
\(697\) 0.685790 2.55940i 0.0259762 0.0969443i
\(698\) 7.58211i 0.286987i
\(699\) 1.70554 2.95409i 0.0645096 0.111734i
\(700\) 28.3141 + 55.9279i 1.07017 + 2.11388i
\(701\) 35.5823i 1.34393i −0.740585 0.671963i \(-0.765451\pi\)
0.740585 0.671963i \(-0.234549\pi\)
\(702\) 5.61678 + 8.10100i 0.211992 + 0.305752i
\(703\) 4.21741 2.43492i 0.159063 0.0918349i
\(704\) −17.1830 + 17.1830i −0.647608 + 0.647608i
\(705\) 3.45687 1.99582i 0.130193 0.0751671i
\(706\) −12.5781 21.7860i −0.473384 0.819925i
\(707\) 14.5882 + 28.8157i 0.548646 + 1.08372i
\(708\) −65.8535 17.6454i −2.47492 0.663154i
\(709\) −10.3917 10.3917i −0.390269 0.390269i 0.484514 0.874783i \(-0.338996\pi\)
−0.874783 + 0.484514i \(0.838996\pi\)
\(710\) −14.4284 3.86607i −0.541488 0.145091i
\(711\) −2.75101 + 4.76489i −0.103171 + 0.178697i
\(712\) 20.9452 + 36.2781i 0.784953 + 1.35958i
\(713\) −12.5962 47.0098i −0.471733 1.76053i
\(714\) −0.654880 + 1.99785i −0.0245083 + 0.0747678i
\(715\) −2.23099 + 0.800361i −0.0834344 + 0.0299318i
\(716\) −3.52881 + 6.11208i −0.131878 + 0.228419i
\(717\) 0.615965 + 0.615965i 0.0230036 + 0.0230036i
\(718\) 57.9920 2.16424
\(719\) −19.3966 −0.723372 −0.361686 0.932300i \(-0.617799\pi\)
−0.361686 + 0.932300i \(0.617799\pi\)
\(720\) 8.71210 + 8.71210i 0.324681 + 0.324681i
\(721\) 45.1799 + 2.48539i 1.68259 + 0.0925608i
\(722\) −10.2337 + 38.1928i −0.380860 + 1.42139i
\(723\) −7.00948 + 1.87818i −0.260685 + 0.0698504i
\(724\) 67.4046 + 38.9161i 2.50507 + 1.44630i
\(725\) 24.8482i 0.922839i
\(726\) −27.3524 7.32905i −1.01514 0.272007i
\(727\) −48.0775 −1.78309 −0.891547 0.452928i \(-0.850379\pi\)
−0.891547 + 0.452928i \(0.850379\pi\)
\(728\) 47.4709 + 77.2035i 1.75939 + 2.86135i
\(729\) −1.00000 −0.0370370
\(730\) −17.3541 4.65001i −0.642303 0.172105i
\(731\) 0.912392i 0.0337460i
\(732\) 27.7182 + 16.0031i 1.02450 + 0.591493i
\(733\) 20.6455 5.53194i 0.762558 0.204327i 0.143477 0.989654i \(-0.454172\pi\)
0.619082 + 0.785327i \(0.287505\pi\)
\(734\) −3.50126 + 13.0669i −0.129234 + 0.482307i
\(735\) 5.34805 + 2.08484i 0.197266 + 0.0769005i
\(736\) −145.636 145.636i −5.36822 5.36822i
\(737\) 10.1737 0.374752
\(738\) 24.9245 0.917485
\(739\) 10.9912 + 10.9912i 0.404317 + 0.404317i 0.879751 0.475434i \(-0.157709\pi\)
−0.475434 + 0.879751i \(0.657709\pi\)
\(740\) −5.13167 + 8.88831i −0.188644 + 0.326741i
\(741\) 0.634052 + 7.65441i 0.0232925 + 0.281192i
\(742\) 28.9963 25.9724i 1.06449 0.953476i
\(743\) −1.89512 7.07267i −0.0695250 0.259471i 0.922411 0.386209i \(-0.126216\pi\)
−0.991936 + 0.126738i \(0.959549\pi\)
\(744\) −24.7826 42.9246i −0.908573 1.57369i
\(745\) 0.967747 1.67619i 0.0354555 0.0614108i
\(746\) −41.6878 11.1702i −1.52630 0.408970i
\(747\) 3.51255 + 3.51255i 0.128517 + 0.128517i
\(748\) 1.23224 + 0.330177i 0.0450551 + 0.0120725i
\(749\) 9.57627 14.6627i 0.349909 0.535763i
\(750\) −10.4559 18.1101i −0.381795 0.661289i
\(751\) 13.2187 7.63184i 0.482358 0.278490i −0.239040 0.971010i \(-0.576833\pi\)
0.721399 + 0.692520i \(0.243500\pi\)
\(752\) −51.7178 + 51.7178i −1.88595 + 1.88595i
\(753\) 13.3147 7.68725i 0.485215 0.280139i
\(754\) 4.67254 + 56.4079i 0.170164 + 2.05425i
\(755\) 11.7008i 0.425834i
\(756\) −14.4635 0.795651i −0.526032 0.0289375i
\(757\) −14.8601 + 25.7384i −0.540098 + 0.935477i 0.458800 + 0.888540i \(0.348280\pi\)
−0.998898 + 0.0469377i \(0.985054\pi\)
\(758\) 51.8571i 1.88354i
\(759\) −1.93560 + 7.22376i −0.0702579 + 0.262206i
\(760\) 4.29528 + 16.0302i 0.155806 + 0.581477i
\(761\) 1.72595 1.72595i 0.0625658 0.0625658i −0.675132 0.737697i \(-0.735913\pi\)
0.737697 + 0.675132i \(0.235913\pi\)
\(762\) 13.5867 13.5867i 0.492196 0.492196i
\(763\) −4.01785 19.1467i −0.145456 0.693159i
\(764\) 96.1636 + 55.5201i 3.47908 + 2.00865i
\(765\) 0.0616859 0.230215i 0.00223026 0.00832344i
\(766\) −46.6090 80.7292i −1.68405 2.91686i
\(767\) 40.6032 + 19.1625i 1.46610 + 0.691917i
\(768\) −39.1722 22.6161i −1.41350 0.816087i
\(769\) −39.3287 + 10.5381i −1.41823 + 0.380013i −0.884855 0.465867i \(-0.845743\pi\)
−0.533374 + 0.845880i \(0.679076\pi\)
\(770\) 1.48117 4.51863i 0.0533777 0.162840i
\(771\) −19.2801 + 11.1313i −0.694354 + 0.400886i
\(772\) −10.3210 38.5184i −0.371460 1.38631i
\(773\) 27.1613 7.27785i 0.976925 0.261766i 0.265176 0.964200i \(-0.414570\pi\)
0.711749 + 0.702434i \(0.247903\pi\)
\(774\)