Properties

Label 273.2.cg.b.115.1
Level $273$
Weight $2$
Character 273.115
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 115.1
Character \(\chi\) \(=\) 273.115
Dual form 273.2.cg.b.19.1

$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

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 −0.867385 + 0.497638i \(0.834201\pi\)
−0.999996 + 0.00272558i \(0.999132\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 4.74145 2.73748i 2.37072 1.36874i
\(5\) −0.792066 0.212233i −0.354223 0.0949137i 0.0773197 0.997006i \(-0.475364\pi\)
−0.431542 + 0.902093i \(0.642030\pi\)
\(6\) 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 −0.616465 0.787382i \(-0.711436\pi\)
0.787382 + 0.616465i \(0.211436\pi\)
\(12\) −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 0.883111 0.469165i \(-0.155445\pi\)
−0.847864 + 0.530214i \(0.822112\pi\)
\(18\) 2.64088 0.707621i 0.622460 0.166788i
\(19\) 1.50629 1.50629i 0.345568 0.345568i −0.512888 0.858456i \(-0.671424\pi\)
0.858456 + 0.512888i \(0.171424\pi\)
\(20\) −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 0.958557 + 0.284902i \(0.0919612\pi\)
0.726011 + 0.687683i \(0.241372\pi\)
\(24\) 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 0.999252 + 0.0386684i \(0.0123116\pi\)
−0.466138 + 0.884712i \(0.654355\pi\)
\(30\) 2.24193i 0.409318i
\(31\) 1.35027 + 5.03926i 0.242515 + 0.905078i 0.974616 + 0.223882i \(0.0718731\pi\)
−0.732101 + 0.681196i \(0.761460\pi\)
\(32\) −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 0.997354 0.0726971i \(-0.0231606\pi\)
−0.900082 + 0.435720i \(0.856494\pi\)
\(38\) −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 0.869385 0.494135i \(-0.164515\pi\)
0.505842 + 0.862626i \(0.331182\pi\)
\(42\) −7.07939 1.48557i −1.09237 0.229229i
\(43\) 2.71857 + 1.56956i 0.414577 + 0.239356i 0.692755 0.721173i \(-0.256397\pi\)
−0.278177 + 0.960530i \(0.589730\pi\)
\(44\) 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 −0.811117 0.584884i \(-0.801140\pi\)
0.994890 0.100966i \(-0.0321934\pi\)
\(48\) −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 −0.989503 0.144510i \(-0.953839\pi\)
0.619901 + 0.784680i \(0.287173\pi\)
\(54\) −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 −0.355872 0.934535i \(-0.615816\pi\)
0.775461 0.631395i \(-0.217517\pi\)
\(60\) 1.16197 + 4.33652i 0.150009 + 0.559843i
\(61\) 5.84594i 0.748496i 0.927329 + 0.374248i \(0.122099\pi\)
−0.927329 + 0.374248i \(0.877901\pi\)
\(62\) −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 0.994840 + 0.101455i \(0.0323496\pi\)
0.101455 + 0.994840i \(0.467650\pi\)
\(68\) 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 −0.619621 0.784901i \(-0.712714\pi\)
−0.144157 + 0.989555i \(0.546047\pi\)
\(72\) 6.71797 6.71797i 0.791720 0.791720i
\(73\) −7.74069 + 2.07411i −0.905979 + 0.242756i −0.681582 0.731742i \(-0.738708\pi\)
−0.224397 + 0.974498i \(0.572041\pi\)
\(74\) −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 0.978256 0.207402i \(-0.0665008\pi\)
−0.668743 + 0.743493i \(0.733167\pi\)
\(80\) −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 −0.873098 0.487546i \(-0.837892\pi\)
0.487546 + 0.873098i \(0.337892\pi\)
\(84\) 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 −0.477378 0.878698i \(-0.658413\pi\)
0.0259280 + 0.999664i \(0.491746\pi\)
\(90\) −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 −0.914045 0.405612i \(-0.867058\pi\)
0.588780 0.808293i \(-0.299608\pi\)
\(98\) 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 −0.887719 0.460387i \(-0.847711\pi\)
0.0451528 0.998980i \(-0.485623\pi\)
\(104\) −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 −0.660525 0.750804i \(-0.729666\pi\)
0.980478 + 0.196630i \(0.0629997\pi\)
\(108\) 2.73748 + 4.74145i 0.263414 + 0.456246i
\(109\) 7.14245 1.91381i 0.684123 0.183310i 0.100014 0.994986i \(-0.468111\pi\)
0.584108 + 0.811676i \(0.301444\pi\)
\(110\) 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 0.474773 + 0.880108i \(0.342530\pi\)
−0.999583 + 0.0288885i \(0.990803\pi\)
\(114\) 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 −0.205034 0.978755i \(-0.565730\pi\)
0.745110 + 0.666942i \(0.232397\pi\)
\(128\) 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 −0.420360 0.907357i \(-0.638096\pi\)
0.575614 + 0.817721i \(0.304763\pi\)
\(132\) −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 −0.152791 0.988258i \(-0.548826\pi\)
−0.626450 + 0.779461i \(0.715493\pi\)
\(138\) −6.60119 + 24.6360i −0.561931 + 2.09715i
\(139\) 11.2360 + 6.48710i 0.953024 + 0.550229i 0.894019 0.448029i \(-0.147874\pi\)
0.0590051 + 0.998258i \(0.481207\pi\)
\(140\) 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 0.635429 0.772160i \(-0.280823\pi\)
−0.772160 + 0.635429i \(0.780823\pi\)
\(150\) 3.06229 11.4286i 0.250035 0.933143i
\(151\) −3.69311 13.7829i −0.300541 1.12164i −0.936716 0.350091i \(-0.886151\pi\)
0.636174 0.771545i \(-0.280516\pi\)
\(152\) 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 −0.997225 0.0744522i \(-0.976279\pi\)
−0.563090 0.826396i \(-0.690387\pi\)
\(158\) −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 −0.980475 0.196643i \(-0.936996\pi\)
0.196643 + 0.980475i \(0.436996\pi\)
\(164\) 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 −0.620606 0.784123i \(-0.713113\pi\)
0.929522 0.368767i \(-0.120220\pi\)
\(168\) −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 \(-0.984659\pi\)
0.998839 0.0481749i \(-0.0153405\pi\)
\(180\) 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 −0.867741 0.497017i \(-0.834429\pi\)
0.497017 + 0.867741i \(0.334429\pi\)
\(194\) 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 0.638071 + 0.769978i \(0.279733\pi\)
−0.937574 + 0.347785i \(0.886934\pi\)
\(198\) 1.09590 1.89816i 0.0778825 0.134896i
\(199\) 0.528554 + 0.915483i 0.0374682 + 0.0648968i 0.884151 0.467200i \(-0.154737\pi\)
−0.846683 + 0.532097i \(0.821404\pi\)
\(200\) 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 0.896816 0.442405i \(-0.145875\pi\)
−0.831541 + 0.555463i \(0.812541\pi\)
\(212\) 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 0.432650 0.901562i \(-0.357578\pi\)
−0.0760947 + 0.997101i \(0.524245\pi\)
\(224\) −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 0.731463 0.681881i \(-0.238838\pi\)
0.292525 + 0.956258i \(0.405504\pi\)
\(228\) −11.2655 3.01857i −0.746074 0.199910i
\(229\) 3.20721 11.9695i 0.211939 0.790966i −0.775283 0.631614i \(-0.782393\pi\)
0.987222 0.159352i \(-0.0509405\pi\)
\(230\) 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 −0.593633 0.804736i \(-0.702307\pi\)
0.400105 + 0.916469i \(0.368974\pi\)
\(234\) 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 0.726748 0.686904i \(-0.241031\pi\)
−0.686904 + 0.726748i \(0.741031\pi\)
\(240\) 8.71210 + 8.71210i 0.562363 + 0.562363i
\(241\) 1.87818 7.00948i 0.120984 0.451520i −0.878680 0.477411i \(-0.841575\pi\)
0.999665 + 0.0258904i \(0.00824209\pi\)
\(242\) −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 −0.999856 0.0169888i \(-0.994592\pi\)
0.514641 + 0.857406i \(0.327925\pi\)
\(252\) −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 −0.276044 0.961145i \(-0.589023\pi\)
0.970398 0.241512i \(-0.0776432\pi\)
\(258\) −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 −0.445461 0.895301i \(-0.646960\pi\)
0.552623 + 0.833431i \(0.313627\pi\)
\(270\) 2.24193i 0.136439i
\(271\) 27.0730 7.25419i 1.64457 0.440661i 0.686484 0.727145i \(-0.259153\pi\)
0.958085 + 0.286484i \(0.0924866\pi\)
\(272\) 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 −0.755468 0.655186i \(-0.772590\pi\)
0.189674 + 0.981847i \(0.439257\pi\)
\(278\) −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 −0.840454 0.541882i \(-0.817712\pi\)
0.541882 + 0.840454i \(0.317712\pi\)
\(282\) 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 −0.651359 0.758770i \(-0.725801\pi\)
−0.184708 + 0.982793i \(0.559134\pi\)
\(294\) 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 0.777206 0.629246i \(-0.216636\pi\)
−0.629246 + 0.777206i \(0.716636\pi\)
\(308\) 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 −0.959585 0.281418i \(-0.909195\pi\)
0.723508 + 0.690316i \(0.242529\pi\)
\(312\) −2.82783 + 34.1381i −0.160094 + 1.93269i
\(313\) 8.01564 4.62783i 0.453071 0.261580i −0.256056 0.966662i \(-0.582423\pi\)
0.709126 + 0.705082i \(0.249090\pi\)
\(314\) 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 0.737658 + 0.675175i \(0.235932\pi\)
−0.976418 + 0.215889i \(0.930735\pi\)
\(318\) −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 0.989027 0.147736i \(-0.0471986\pi\)
−0.147736 + 0.989027i \(0.547199\pi\)
\(332\) −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 \(-0.700916\pi\)
0.590110 0.807323i \(-0.299084\pi\)
\(338\) −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 −0.996255 0.0864677i \(-0.972442\pi\)
0.423244 0.906016i \(-0.360891\pi\)
\(348\) 15.7181 27.2245i 0.842577 1.45939i
\(349\) 0.717765 2.67873i 0.0384211 0.143389i −0.944051 0.329800i \(-0.893019\pi\)
0.982472 + 0.186410i \(0.0596854\pi\)
\(350\) −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 −0.512436 0.858725i \(-0.671257\pi\)
0.858725 + 0.512436i \(0.171257\pi\)
\(354\) 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 −0.326193 0.945303i \(-0.605766\pi\)
−0.755143 + 0.655560i \(0.772433\pi\)
\(360\) −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 \(0.0412217\pi\)
−0.991626 + 0.129140i \(0.958778\pi\)
\(368\) 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 −0.717484 0.696575i \(-0.754707\pi\)
0.969647 0.244509i \(-0.0786268\pi\)
\(380\) −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 0.268690 0.963227i \(-0.413409\pi\)
0.963227 0.268690i \(-0.0865908\pi\)
\(384\) 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 0.119070 0.992886i \(-0.462009\pi\)
−0.800330 + 0.599560i \(0.795342\pi\)
\(390\) 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 0.431326 0.902196i \(-0.358046\pi\)
−0.902196 + 0.431326i \(0.858046\pi\)
\(398\) −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 −0.986288 0.165033i \(-0.947227\pi\)
0.771634 0.636067i \(-0.219440\pi\)
\(402\) −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 −0.740346 0.672226i \(-0.765338\pi\)
−0.977271 + 0.211992i \(0.932005\pi\)
\(410\) 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 −0.0121297 0.999926i \(-0.503861\pi\)
0.859897 + 0.510468i \(0.170528\pi\)
\(420\) −11.6249 2.43943i −0.567237 0.119032i
\(421\) 9.14971 + 9.14971i 0.445929 + 0.445929i 0.893999 0.448069i \(-0.147888\pi\)
−0.448069 + 0.893999i \(0.647888\pi\)
\(422\) −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 0.884767 0.466033i \(-0.154317\pi\)
−0.466033 + 0.884767i \(0.654317\pi\)
\(432\) 13.0122 + 7.51260i 0.626050 + 0.361450i
\(433\) 11.2493 19.4844i 0.540609 0.936362i −0.458261 0.888818i \(-0.651527\pi\)
0.998869 0.0475437i \(-0.0151393\pi\)
\(434\) 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 −0.993963 0.109713i \(-0.965007\pi\)
0.591996 + 0.805941i \(0.298340\pi\)
\(440\) 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 0.675960 0.736938i \(-0.263729\pi\)
−0.976187 + 0.216930i \(0.930396\pi\)
\(444\) 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 0.866930 0.498430i \(-0.166090\pi\)
−0.999998 + 0.00181175i \(0.999423\pi\)
\(450\) −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 −0.252751 0.967531i \(-0.581335\pi\)
0.264877 + 0.964282i \(0.414669\pi\)
\(458\) 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 −0.833706 0.552209i \(-0.813785\pi\)
0.445906 0.895080i \(-0.352882\pi\)
\(462\) −4.85522 + 3.17096i −0.225885 + 0.147527i
\(463\) 23.1731 23.1731i 1.07695 1.07695i 0.0801653 0.996782i \(-0.474455\pi\)
0.996782 0.0801653i \(-0.0255448\pi\)
\(464\) 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 0.764230 0.644944i \(-0.223119\pi\)
−0.940653 + 0.339370i \(0.889786\pi\)
\(468\) −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 0.608162 0.793813i \(-0.291907\pi\)
−0.793813 + 0.608162i \(0.791907\pi\)
\(480\) −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 −0.939524 0.342484i \(-0.888732\pi\)
0.984893 + 0.173162i \(0.0553984\pi\)
\(488\) −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 −0.534893 + 0.844920i \(0.679648\pi\)
−0.999169 + 0.0407714i \(0.987018\pi\)
\(492\) −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 −0.866611 0.498984i \(-0.833707\pi\)
0.999999 + 0.00117270i \(0.000373282\pi\)
\(500\) 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 0.182414 0.983222i \(-0.441609\pi\)
−0.760288 + 0.649586i \(0.774942\pi\)
\(504\) 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 0.925207 + 0.379462i \(0.123891\pi\)
−0.611522 + 0.791227i \(0.709442\pi\)
\(510\) 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 0.642921 0.765933i \(-0.277723\pi\)
−0.341857 + 0.939752i \(0.611056\pi\)
\(522\) 11.1004 + 11.1004i 0.485851 + 0.485851i
\(523\) −2.98599 1.72396i −0.130568 0.0753837i 0.433293 0.901253i \(-0.357351\pi\)
−0.563861 + 0.825869i \(0.690685\pi\)
\(524\) 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 0.202823 0.979215i \(-0.434988\pi\)
−0.313958 + 0.949437i \(0.601655\pi\)
\(542\) −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 −0.731996 0.681309i \(-0.761411\pi\)
0.681309 + 0.731996i \(0.261411\pi\)
\(558\) 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 0.605412 0.795912i \(-0.293008\pi\)
−0.991986 + 0.126347i \(0.959675\pi\)
\(564\) −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 0.737293 0.675573i \(-0.236104\pi\)
−0.216416 + 0.976301i \(0.569437\pi\)
\(570\) −3.37700 3.37700i −0.141447 0.141447i
\(571\) −5.06747 2.92571i −0.212067 0.122437i 0.390205 0.920728i \(-0.372404\pi\)
−0.602272 + 0.798291i \(0.705738\pi\)
\(572\) 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 0.998995 0.0448197i \(-0.0142713\pi\)
−0.887565 + 0.460683i \(0.847605\pi\)
\(578\) −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 −0.382979 0.923757i \(-0.625102\pi\)
−0.793548 + 0.608507i \(0.791769\pi\)
\(588\) −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 0.657034 + 0.753861i \(0.271811\pi\)
−0.945939 + 0.324345i \(0.894856\pi\)
\(594\) −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 −0.398265 0.917270i \(-0.630388\pi\)
0.993512 0.113727i \(-0.0362790\pi\)
\(600\) −10.6413 39.7139i −0.434430 1.62131i
\(601\) 22.2556 12.8493i 0.907826 0.524133i 0.0280947 0.999605i \(-0.491056\pi\)
0.879731 + 0.475472i \(0.157723\pi\)
\(602\) 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 \(0.139115\pi\)
−0.906007 + 0.423262i \(0.860885\pi\)
\(608\) 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 0.665598 0.746310i \(-0.268177\pi\)
−0.746310 + 0.665598i \(0.768177\pi\)
\(614\) −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 0.357528 0.933902i \(-0.383620\pi\)
0.776579 + 0.630019i \(0.216953\pi\)
\(618\) 33.0630 33.0630i 1.32999 1.32999i
\(619\) −44.5517 + 11.9376i −1.79069 + 0.479813i −0.992462 0.122549i \(-0.960893\pi\)
−0.798223 + 0.602362i \(0.794226\pi\)
\(620\) −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 −0.999182 0.0404298i \(-0.987127\pi\)
0.845102 0.534604i \(-0.179539\pi\)
\(632\) −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 −0.182795 0.983151i \(-0.558514\pi\)
0.760036 + 0.649881i \(0.225181\pi\)
\(642\) 17.4806 + 4.68390i 0.689903 + 0.184859i
\(643\) 4.07102 + 15.1933i 0.160545 + 0.599164i 0.998566 + 0.0535258i \(0.0170459\pi\)
−0.838021 + 0.545638i \(0.816287\pi\)
\(644\) −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 −0.828332 0.560238i \(-0.810710\pi\)
0.899346 + 0.437238i \(0.144043\pi\)
\(654\) 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 −0.750805 0.660524i \(-0.770334\pi\)
0.947433 + 0.319954i \(0.103667\pi\)
\(660\) 3.11693 + 1.79956i 0.121326 + 0.0700477i
\(661\) 21.7446 + 21.7446i 0.845766 + 0.845766i 0.989602 0.143836i \(-0.0459437\pi\)
−0.143836 + 0.989602i \(0.545944\pi\)
\(662\) −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 −0.613766 0.789488i \(-0.710346\pi\)
0.376834 + 0.926281i \(0.377013\pi\)
\(674\) 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 −0.271578 0.962417i \(-0.587545\pi\)
0.697688 + 0.716401i \(0.254212\pi\)
\(678\) −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 0.643077 0.765801i \(-0.277657\pi\)
0.174021 + 0.984742i \(0.444324\pi\)
\(684\) −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 0.876574 0.481268i \(-0.159824\pi\)
−0.999769 + 0.0214965i \(0.993157\pi\)
\(692\) −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 \(0.234549\pi\)
−0.740585 + 0.671963i \(0.765451\pi\)
\(702\) 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 −0.874783 0.484514i \(-0.838996\pi\)
0.484514 + 0.874783i \(0.338996\pi\)
\(710\) −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 0.619082 0.785327i \(-0.287505\pi\)
0.143477 + 0.989654i \(0.454172\pi\)
\(734\) −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 −0.475434 0.879751i \(-0.657709\pi\)
0.879751 + 0.475434i \(0.157709\pi\)
\(740\) −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 −0.991936 0.126738i \(-0.959549\pi\)
0.922411 + 0.386209i \(0.126216\pi\)
\(744\) −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 0.721399 0.692520i \(-0.243500\pi\)
−0.239040 + 0.971010i \(0.576833\pi\)
\(752\) −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 −0.998898 0.0469377i \(-0.985054\pi\)
0.458800 0.888540i \(-0.348280\pi\)
\(758\) 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 0.737697 0.675132i \(-0.235913\pi\)
−0.675132 + 0.737697i \(0.735913\pi\)
\(762\) 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 −0.533374 0.845880i \(-0.679076\pi\)
−0.884855 + 0.465867i \(0.845743\pi\)
\(770\) 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 0.711749 0.702434i \(-0.247903\pi\)
0.265176 + 0.964200i \(0.414570\pi\)