Properties

Label 230.3.i.a.19.5
Level $230$
Weight $3$
Character 230.19
Analytic conductor $6.267$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 230.i (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.26704608029\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 19.5
Character \(\chi\) \(=\) 230.19
Dual form 230.3.i.a.109.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28641 + 0.587486i) q^{2} +(-0.424421 - 1.44544i) q^{3} +(1.30972 - 1.51150i) q^{4} +(3.70278 + 3.35997i) q^{5} +(1.39516 + 1.61010i) q^{6} +(1.33136 + 9.25983i) q^{7} +(-0.796860 + 2.71386i) q^{8} +(5.66211 - 3.63882i) q^{9} +O(q^{10})\) \(q+(-1.28641 + 0.587486i) q^{2} +(-0.424421 - 1.44544i) q^{3} +(1.30972 - 1.51150i) q^{4} +(3.70278 + 3.35997i) q^{5} +(1.39516 + 1.61010i) q^{6} +(1.33136 + 9.25983i) q^{7} +(-0.796860 + 2.71386i) q^{8} +(5.66211 - 3.63882i) q^{9} +(-6.73725 - 2.14698i) q^{10} +(-11.1673 - 5.09994i) q^{11} +(-2.74066 - 1.25162i) q^{12} +(-16.2447 - 2.33563i) q^{13} +(-7.15270 - 11.1298i) q^{14} +(3.28511 - 6.77820i) q^{15} +(-0.569259 - 3.95929i) q^{16} +(16.9201 + 19.5268i) q^{17} +(-5.14606 + 8.00743i) q^{18} +(22.5651 + 19.5528i) q^{19} +(9.92821 - 1.19613i) q^{20} +(12.8195 - 5.85447i) q^{21} +17.3619 q^{22} +(2.98448 + 22.8055i) q^{23} +4.26093 q^{24} +(2.42122 + 24.8825i) q^{25} +(22.2695 - 6.53892i) q^{26} +(-17.9094 - 15.5186i) q^{27} +(15.7399 + 10.1154i) q^{28} +(9.51860 + 10.9851i) q^{29} +(-0.243912 + 10.6495i) q^{30} +(-22.7320 - 6.67472i) q^{31} +(3.05833 + 4.75885i) q^{32} +(-2.63204 + 18.3062i) q^{33} +(-33.2380 - 15.1793i) q^{34} +(-26.1830 + 38.7605i) q^{35} +(1.91572 - 13.3241i) q^{36} +(37.0350 - 23.8009i) q^{37} +(-40.5151 - 11.8963i) q^{38} +(3.51855 + 24.4720i) q^{39} +(-12.0691 + 7.37140i) q^{40} +(32.0940 + 20.6255i) q^{41} +(-13.0518 + 15.0626i) q^{42} +(5.57263 - 1.63627i) q^{43} +(-22.3346 + 10.1999i) q^{44} +(33.1919 + 5.55076i) q^{45} +(-17.2372 - 27.5840i) q^{46} +52.2193i q^{47} +(-5.48132 + 2.50323i) q^{48} +(-36.9568 + 10.8515i) q^{49} +(-17.7328 - 30.5867i) q^{50} +(21.0437 - 32.7447i) q^{51} +(-24.8063 + 21.4948i) q^{52} +(-4.31324 - 29.9993i) q^{53} +(32.1559 + 9.44182i) q^{54} +(-24.2145 - 56.4058i) q^{55} +(-26.1908 - 3.76566i) q^{56} +(18.6854 - 40.9152i) q^{57} +(-18.6984 - 8.53928i) q^{58} +(0.933436 - 6.49219i) q^{59} +(-5.94267 - 13.8430i) q^{60} +(6.66826 - 22.7100i) q^{61} +(33.1641 - 4.76827i) q^{62} +(41.2331 + 47.5856i) q^{63} +(-6.73003 - 4.32513i) q^{64} +(-52.3028 - 63.2299i) q^{65} +(-7.36875 - 25.0957i) q^{66} +(-35.9742 - 78.7725i) q^{67} +51.6754 q^{68} +(31.6975 - 13.9930i) q^{69} +(10.9109 - 65.2442i) q^{70} +(18.9338 + 41.4593i) q^{71} +(5.36331 + 18.2658i) q^{72} +(-26.9913 - 23.3881i) q^{73} +(-33.6596 + 52.3753i) q^{74} +(34.9386 - 14.0604i) q^{75} +(59.1081 - 8.49846i) q^{76} +(32.3568 - 110.197i) q^{77} +(-18.9033 - 29.4141i) q^{78} +(-17.9264 - 2.57743i) q^{79} +(11.1952 - 16.5731i) q^{80} +(10.3336 - 22.6275i) q^{81} +(-53.4033 - 7.67824i) q^{82} +(-107.016 + 68.7750i) q^{83} +(7.94095 - 27.0444i) q^{84} +(-2.95810 + 129.155i) q^{85} +(-6.20742 + 5.37876i) q^{86} +(11.8384 - 18.4209i) q^{87} +(22.7393 - 26.2425i) q^{88} +(17.1774 + 58.5008i) q^{89} +(-45.9595 + 12.3592i) q^{90} -153.532i q^{91} +(38.3794 + 25.3579i) q^{92} +35.6907i q^{93} +(-30.6781 - 67.1757i) q^{94} +(17.8570 + 148.218i) q^{95} +(5.58063 - 6.44039i) q^{96} +(-129.040 - 82.9290i) q^{97} +(41.1667 - 35.6711i) q^{98} +(-81.7882 + 11.7594i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + O(q^{10}) \) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + 154q^{15} - 96q^{16} + 44q^{20} + 16q^{24} - 84q^{25} + 32q^{26} - 100q^{29} - 352q^{30} + 124q^{31} + 28q^{35} - 192q^{36} + 72q^{39} + 116q^{41} - 148q^{46} - 188q^{49} + 144q^{50} + 324q^{54} + 796q^{55} - 264q^{56} + 400q^{59} + 176q^{60} - 616q^{61} + 192q^{64} + 462q^{65} - 176q^{66} + 120q^{69} - 504q^{70} + 464q^{71} - 528q^{74} - 934q^{75} - 968q^{79} - 264q^{80} + 664q^{81} - 352q^{84} - 1196q^{85} + 396q^{86} + 376q^{94} + 126q^{95} - 32q^{96} - 3300q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{15}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28641 + 0.587486i −0.643207 + 0.293743i
\(3\) −0.424421 1.44544i −0.141474 0.481815i 0.858021 0.513615i \(-0.171694\pi\)
−0.999494 + 0.0318005i \(0.989876\pi\)
\(4\) 1.30972 1.51150i 0.327430 0.377875i
\(5\) 3.70278 + 3.35997i 0.740557 + 0.671994i
\(6\) 1.39516 + 1.61010i 0.232526 + 0.268350i
\(7\) 1.33136 + 9.25983i 0.190195 + 1.32283i 0.831490 + 0.555539i \(0.187488\pi\)
−0.641296 + 0.767294i \(0.721603\pi\)
\(8\) −0.796860 + 2.71386i −0.0996075 + 0.339232i
\(9\) 5.66211 3.63882i 0.629123 0.404313i
\(10\) −6.73725 2.14698i −0.673725 0.214698i
\(11\) −11.1673 5.09994i −1.01521 0.463631i −0.162886 0.986645i \(-0.552080\pi\)
−0.852324 + 0.523014i \(0.824807\pi\)
\(12\) −2.74066 1.25162i −0.228388 0.104301i
\(13\) −16.2447 2.33563i −1.24959 0.179664i −0.514415 0.857541i \(-0.671991\pi\)
−0.735175 + 0.677878i \(0.762900\pi\)
\(14\) −7.15270 11.1298i −0.510907 0.794987i
\(15\) 3.28511 6.77820i 0.219007 0.451880i
\(16\) −0.569259 3.95929i −0.0355787 0.247455i
\(17\) 16.9201 + 19.5268i 0.995301 + 1.14864i 0.988889 + 0.148659i \(0.0474956\pi\)
0.00641209 + 0.999979i \(0.497959\pi\)
\(18\) −5.14606 + 8.00743i −0.285892 + 0.444857i
\(19\) 22.5651 + 19.5528i 1.18764 + 1.02909i 0.998892 + 0.0470684i \(0.0149879\pi\)
0.188746 + 0.982026i \(0.439558\pi\)
\(20\) 9.92821 1.19613i 0.496410 0.0598065i
\(21\) 12.8195 5.85447i 0.610453 0.278784i
\(22\) 17.3619 0.789178
\(23\) 2.98448 + 22.8055i 0.129760 + 0.991545i
\(24\) 4.26093 0.177539
\(25\) 2.42122 + 24.8825i 0.0968486 + 0.995299i
\(26\) 22.2695 6.53892i 0.856520 0.251497i
\(27\) −17.9094 15.5186i −0.663312 0.574763i
\(28\) 15.7399 + 10.1154i 0.562141 + 0.361266i
\(29\) 9.51860 + 10.9851i 0.328228 + 0.378795i 0.895746 0.444566i \(-0.146642\pi\)
−0.567519 + 0.823361i \(0.692096\pi\)
\(30\) −0.243912 + 10.6495i −0.00813039 + 0.354984i
\(31\) −22.7320 6.67472i −0.733290 0.215314i −0.106293 0.994335i \(-0.533898\pi\)
−0.626997 + 0.779021i \(0.715716\pi\)
\(32\) 3.05833 + 4.75885i 0.0955727 + 0.148714i
\(33\) −2.63204 + 18.3062i −0.0797587 + 0.554734i
\(34\) −33.2380 15.1793i −0.977588 0.446450i
\(35\) −26.1830 + 38.7605i −0.748086 + 1.10744i
\(36\) 1.91572 13.3241i 0.0532144 0.370114i
\(37\) 37.0350 23.8009i 1.00094 0.643268i 0.0659105 0.997826i \(-0.479005\pi\)
0.935034 + 0.354557i \(0.115368\pi\)
\(38\) −40.5151 11.8963i −1.06619 0.313060i
\(39\) 3.51855 + 24.4720i 0.0902192 + 0.627488i
\(40\) −12.0691 + 7.37140i −0.301727 + 0.184285i
\(41\) 32.0940 + 20.6255i 0.782780 + 0.503062i 0.869955 0.493131i \(-0.164148\pi\)
−0.0871753 + 0.996193i \(0.527784\pi\)
\(42\) −13.0518 + 15.0626i −0.310757 + 0.358632i
\(43\) 5.57263 1.63627i 0.129596 0.0380528i −0.216291 0.976329i \(-0.569396\pi\)
0.345887 + 0.938276i \(0.387578\pi\)
\(44\) −22.3346 + 10.1999i −0.507605 + 0.231815i
\(45\) 33.1919 + 5.55076i 0.737597 + 0.123350i
\(46\) −17.2372 27.5840i −0.374722 0.599653i
\(47\) 52.2193i 1.11105i 0.831500 + 0.555525i \(0.187483\pi\)
−0.831500 + 0.555525i \(0.812517\pi\)
\(48\) −5.48132 + 2.50323i −0.114194 + 0.0521507i
\(49\) −36.9568 + 10.8515i −0.754221 + 0.221459i
\(50\) −17.7328 30.5867i −0.354656 0.611735i
\(51\) 21.0437 32.7447i 0.412622 0.642052i
\(52\) −24.8063 + 21.4948i −0.477044 + 0.413361i
\(53\) −4.31324 29.9993i −0.0813820 0.566024i −0.989190 0.146638i \(-0.953155\pi\)
0.907808 0.419386i \(-0.137754\pi\)
\(54\) 32.1559 + 9.44182i 0.595479 + 0.174848i
\(55\) −24.2145 56.4058i −0.440263 1.02556i
\(56\) −26.1908 3.76566i −0.467692 0.0672440i
\(57\) 18.6854 40.9152i 0.327813 0.717811i
\(58\) −18.6984 8.53928i −0.322387 0.147229i
\(59\) 0.933436 6.49219i 0.0158209 0.110037i −0.980381 0.197113i \(-0.936843\pi\)
0.996202 + 0.0870763i \(0.0277524\pi\)
\(60\) −5.94267 13.8430i −0.0990446 0.230717i
\(61\) 6.66826 22.7100i 0.109316 0.372295i −0.886605 0.462527i \(-0.846943\pi\)
0.995921 + 0.0902320i \(0.0287609\pi\)
\(62\) 33.1641 4.76827i 0.534904 0.0769076i
\(63\) 41.2331 + 47.5856i 0.654494 + 0.755327i
\(64\) −6.73003 4.32513i −0.105157 0.0675801i
\(65\) −52.3028 63.2299i −0.804659 0.972768i
\(66\) −7.36875 25.0957i −0.111648 0.380237i
\(67\) −35.9742 78.7725i −0.536928 1.17571i −0.962624 0.270843i \(-0.912698\pi\)
0.425695 0.904867i \(-0.360030\pi\)
\(68\) 51.6754 0.759933
\(69\) 31.6975 13.9930i 0.459383 0.202798i
\(70\) 10.9109 65.2442i 0.155871 0.932060i
\(71\) 18.9338 + 41.4593i 0.266674 + 0.583934i 0.994839 0.101468i \(-0.0323538\pi\)
−0.728165 + 0.685402i \(0.759627\pi\)
\(72\) 5.36331 + 18.2658i 0.0744905 + 0.253691i
\(73\) −26.9913 23.3881i −0.369744 0.320385i 0.450093 0.892982i \(-0.351391\pi\)
−0.819837 + 0.572596i \(0.805936\pi\)
\(74\) −33.6596 + 52.3753i −0.454859 + 0.707775i
\(75\) 34.9386 14.0604i 0.465848 0.187472i
\(76\) 59.1081 8.49846i 0.777738 0.111822i
\(77\) 32.3568 110.197i 0.420219 1.43113i
\(78\) −18.9033 29.4141i −0.242350 0.377104i
\(79\) −17.9264 2.57743i −0.226917 0.0326257i 0.0279185 0.999610i \(-0.491112\pi\)
−0.254835 + 0.966985i \(0.582021\pi\)
\(80\) 11.1952 16.5731i 0.139940 0.207163i
\(81\) 10.3336 22.6275i 0.127576 0.279352i
\(82\) −53.4033 7.67824i −0.651260 0.0936371i
\(83\) −107.016 + 68.7750i −1.28935 + 0.828614i −0.992010 0.126158i \(-0.959735\pi\)
−0.297339 + 0.954772i \(0.596099\pi\)
\(84\) 7.94095 27.0444i 0.0945352 0.321957i
\(85\) −2.95810 + 129.155i −0.0348011 + 1.51947i
\(86\) −6.20742 + 5.37876i −0.0721793 + 0.0625437i
\(87\) 11.8384 18.4209i 0.136073 0.211734i
\(88\) 22.7393 26.2425i 0.258401 0.298210i
\(89\) 17.1774 + 58.5008i 0.193004 + 0.657312i 0.997952 + 0.0639666i \(0.0203751\pi\)
−0.804948 + 0.593346i \(0.797807\pi\)
\(90\) −45.9595 + 12.3592i −0.510661 + 0.137324i
\(91\) 153.532i 1.68717i
\(92\) 38.3794 + 25.3579i 0.417167 + 0.275629i
\(93\) 35.6907i 0.383771i
\(94\) −30.6781 67.1757i −0.326363 0.714635i
\(95\) 17.8570 + 148.218i 0.187968 + 1.56019i
\(96\) 5.58063 6.44039i 0.0581316 0.0670874i
\(97\) −129.040 82.9290i −1.33031 0.854938i −0.334152 0.942519i \(-0.608450\pi\)
−0.996157 + 0.0875812i \(0.972086\pi\)
\(98\) 41.1667 35.6711i 0.420068 0.363991i
\(99\) −81.7882 + 11.7594i −0.826144 + 0.118782i
\(100\) 40.7810 + 28.9295i 0.407810 + 0.289295i
\(101\) 125.379 80.5764i 1.24138 0.797786i 0.255755 0.966742i \(-0.417676\pi\)
0.985624 + 0.168956i \(0.0540394\pi\)
\(102\) −7.83391 + 54.4861i −0.0768031 + 0.534177i
\(103\) 33.7062 73.8063i 0.327245 0.716566i −0.672478 0.740117i \(-0.734770\pi\)
0.999723 + 0.0235509i \(0.00749719\pi\)
\(104\) 19.2833 42.2245i 0.185416 0.406005i
\(105\) 67.1387 + 21.3953i 0.639416 + 0.203765i
\(106\) 23.1728 + 36.0575i 0.218611 + 0.340165i
\(107\) 43.0483 + 12.6401i 0.402320 + 0.118132i 0.476631 0.879103i \(-0.341858\pi\)
−0.0743113 + 0.997235i \(0.523676\pi\)
\(108\) −46.9127 + 6.74503i −0.434377 + 0.0624540i
\(109\) 125.080 108.382i 1.14752 0.994331i 0.147533 0.989057i \(-0.452867\pi\)
0.999986 0.00527383i \(-0.00167872\pi\)
\(110\) 64.2874 + 58.3355i 0.584431 + 0.530323i
\(111\) −50.1213 43.4303i −0.451543 0.391264i
\(112\) 35.9044 10.5425i 0.320575 0.0941294i
\(113\) −75.0160 164.262i −0.663858 1.45365i −0.878882 0.477039i \(-0.841710\pi\)
0.215024 0.976609i \(-0.431017\pi\)
\(114\) 63.6113i 0.557994i
\(115\) −65.5750 + 94.4718i −0.570218 + 0.821494i
\(116\) 29.0706 0.250609
\(117\) −100.478 + 45.8868i −0.858786 + 0.392195i
\(118\) 2.61328 + 8.90002i 0.0221465 + 0.0754239i
\(119\) −158.289 + 182.675i −1.33016 + 1.53508i
\(120\) 15.7773 + 14.3166i 0.131478 + 0.119305i
\(121\) 19.4612 + 22.4594i 0.160836 + 0.185615i
\(122\) 4.76366 + 33.1320i 0.0390464 + 0.271574i
\(123\) 16.1917 55.1439i 0.131640 0.448325i
\(124\) −39.8614 + 25.6174i −0.321463 + 0.206592i
\(125\) −74.6391 + 100.270i −0.597113 + 0.802157i
\(126\) −80.9987 36.9909i −0.642847 0.293578i
\(127\) 17.8071 + 8.13224i 0.140214 + 0.0640334i 0.484286 0.874910i \(-0.339079\pi\)
−0.344073 + 0.938943i \(0.611807\pi\)
\(128\) 11.1986 + 1.61011i 0.0874887 + 0.0125790i
\(129\) −4.73027 7.36045i −0.0366688 0.0570578i
\(130\) 104.430 + 50.6127i 0.803306 + 0.389328i
\(131\) −24.5230 170.562i −0.187199 1.30200i −0.839219 0.543794i \(-0.816987\pi\)
0.652020 0.758202i \(-0.273922\pi\)
\(132\) 24.2226 + 27.9544i 0.183505 + 0.211776i
\(133\) −151.013 + 234.981i −1.13544 + 1.76678i
\(134\) 92.5554 + 80.1998i 0.690712 + 0.598506i
\(135\) −14.1727 117.637i −0.104983 0.871386i
\(136\) −66.4760 + 30.3586i −0.488794 + 0.223225i
\(137\) 185.066 1.35085 0.675423 0.737431i \(-0.263961\pi\)
0.675423 + 0.737431i \(0.263961\pi\)
\(138\) −32.5553 + 36.6226i −0.235908 + 0.265381i
\(139\) −271.888 −1.95603 −0.978013 0.208544i \(-0.933128\pi\)
−0.978013 + 0.208544i \(0.933128\pi\)
\(140\) 24.2940 + 90.3410i 0.173529 + 0.645293i
\(141\) 75.4801 22.1630i 0.535320 0.157184i
\(142\) −48.7135 42.2105i −0.343053 0.297257i
\(143\) 169.498 + 108.929i 1.18530 + 0.761745i
\(144\) −17.6303 20.3465i −0.122433 0.141295i
\(145\) −1.66411 + 72.6575i −0.0114766 + 0.501086i
\(146\) 48.4622 + 14.2298i 0.331933 + 0.0974643i
\(147\) 31.3705 + 48.8134i 0.213404 + 0.332064i
\(148\) 12.5304 87.1509i 0.0846649 0.588857i
\(149\) 243.157 + 111.046i 1.63193 + 0.745277i 0.999568 0.0293962i \(-0.00935845\pi\)
0.632362 + 0.774673i \(0.282086\pi\)
\(150\) −36.6852 + 38.6134i −0.244568 + 0.257422i
\(151\) 18.6983 130.050i 0.123830 0.861257i −0.829323 0.558769i \(-0.811274\pi\)
0.953153 0.302488i \(-0.0978171\pi\)
\(152\) −71.0447 + 45.6577i −0.467399 + 0.300379i
\(153\) 166.858 + 48.9940i 1.09058 + 0.320222i
\(154\) 23.1150 + 160.768i 0.150097 + 1.04395i
\(155\) −61.7448 101.094i −0.398354 0.652219i
\(156\) 41.5978 + 26.7333i 0.266652 + 0.171367i
\(157\) −123.417 + 142.431i −0.786097 + 0.907204i −0.997534 0.0701873i \(-0.977640\pi\)
0.211437 + 0.977392i \(0.432186\pi\)
\(158\) 24.5750 7.21587i 0.155538 0.0456701i
\(159\) −41.5316 + 18.9669i −0.261205 + 0.119288i
\(160\) −4.66526 + 27.8969i −0.0291579 + 0.174355i
\(161\) −207.202 + 57.9982i −1.28697 + 0.360238i
\(162\) 35.1792i 0.217156i
\(163\) 115.319 52.6646i 0.707482 0.323096i −0.0289757 0.999580i \(-0.509225\pi\)
0.736457 + 0.676484i \(0.236497\pi\)
\(164\) 73.2097 21.4963i 0.446400 0.131075i
\(165\) −71.2542 + 58.9404i −0.431844 + 0.357215i
\(166\) 97.2625 151.343i 0.585919 0.911707i
\(167\) −52.4822 + 45.4761i −0.314265 + 0.272312i −0.797682 0.603078i \(-0.793941\pi\)
0.483418 + 0.875390i \(0.339395\pi\)
\(168\) 5.67284 + 39.4555i 0.0337669 + 0.234854i
\(169\) 96.2798 + 28.2703i 0.569703 + 0.167280i
\(170\) −72.0712 167.884i −0.423948 0.987555i
\(171\) 198.915 + 28.5997i 1.16325 + 0.167250i
\(172\) 4.82537 10.5661i 0.0280545 0.0614307i
\(173\) 195.068 + 89.0846i 1.12756 + 0.514940i 0.889785 0.456380i \(-0.150854\pi\)
0.237776 + 0.971320i \(0.423582\pi\)
\(174\) −4.40706 + 30.6518i −0.0253279 + 0.176160i
\(175\) −227.184 + 55.5477i −1.29819 + 0.317415i
\(176\) −13.8350 + 47.1177i −0.0786080 + 0.267714i
\(177\) −9.78026 + 1.40619i −0.0552557 + 0.00794457i
\(178\) −56.4656 65.1648i −0.317222 0.366094i
\(179\) −117.171 75.3015i −0.654589 0.420679i 0.170752 0.985314i \(-0.445380\pi\)
−0.825340 + 0.564636i \(0.809017\pi\)
\(180\) 51.8621 42.8995i 0.288123 0.238331i
\(181\) 21.9372 + 74.7112i 0.121200 + 0.412769i 0.997634 0.0687534i \(-0.0219022\pi\)
−0.876434 + 0.481522i \(0.840084\pi\)
\(182\) 90.1981 + 197.506i 0.495594 + 1.08520i
\(183\) −35.6562 −0.194843
\(184\) −64.2692 10.0734i −0.349289 0.0547466i
\(185\) 217.103 + 36.3066i 1.17353 + 0.196252i
\(186\) −20.9678 45.9130i −0.112730 0.246844i
\(187\) −89.3663 304.354i −0.477895 1.62756i
\(188\) 78.9295 + 68.3928i 0.419838 + 0.363791i
\(189\) 119.856 186.499i 0.634157 0.986768i
\(190\) −110.047 180.179i −0.579197 0.948310i
\(191\) 161.516 23.2224i 0.845631 0.121583i 0.294138 0.955763i \(-0.404967\pi\)
0.551493 + 0.834180i \(0.314058\pi\)
\(192\) −3.39536 + 11.5635i −0.0176842 + 0.0602268i
\(193\) −29.8985 46.5230i −0.154915 0.241052i 0.755118 0.655589i \(-0.227580\pi\)
−0.910032 + 0.414537i \(0.863943\pi\)
\(194\) 214.718 + 30.8719i 1.10680 + 0.159133i
\(195\) −69.1969 + 102.437i −0.354856 + 0.525317i
\(196\) −32.0011 + 70.0726i −0.163271 + 0.357513i
\(197\) −97.9122 14.0776i −0.497016 0.0714601i −0.110751 0.993848i \(-0.535326\pi\)
−0.386265 + 0.922388i \(0.626235\pi\)
\(198\) 98.3050 63.1768i 0.496490 0.319075i
\(199\) 65.9413 224.575i 0.331363 1.12852i −0.610358 0.792126i \(-0.708974\pi\)
0.941721 0.336394i \(-0.109207\pi\)
\(200\) −69.4568 13.2570i −0.347284 0.0662851i
\(201\) −98.5931 + 85.4314i −0.490513 + 0.425032i
\(202\) −113.952 + 177.313i −0.564120 + 0.877788i
\(203\) −89.0470 + 102.766i −0.438655 + 0.506235i
\(204\) −21.9321 74.6939i −0.107510 0.366147i
\(205\) 49.5358 + 184.207i 0.241638 + 0.898569i
\(206\) 114.747i 0.557026i
\(207\) 99.8836 + 118.267i 0.482530 + 0.571340i
\(208\) 65.6469i 0.315610i
\(209\) −152.274 333.433i −0.728582 1.59537i
\(210\) −98.9376 + 11.9198i −0.471131 + 0.0567610i
\(211\) −117.636 + 135.759i −0.557518 + 0.643410i −0.962618 0.270862i \(-0.912691\pi\)
0.405100 + 0.914272i \(0.367237\pi\)
\(212\) −50.9930 32.7712i −0.240533 0.154581i
\(213\) 51.8912 44.9640i 0.243621 0.211099i
\(214\) −62.8038 + 9.02982i −0.293475 + 0.0421954i
\(215\) 26.1321 + 12.6651i 0.121544 + 0.0589074i
\(216\) 56.3865 36.2374i 0.261049 0.167766i
\(217\) 31.5422 219.381i 0.145356 1.01097i
\(218\) −97.2312 + 212.907i −0.446015 + 0.976636i
\(219\) −22.3505 + 48.9409i −0.102057 + 0.223474i
\(220\) −116.971 37.2757i −0.531689 0.169435i
\(221\) −229.254 356.726i −1.03735 1.61415i
\(222\) 89.9914 + 26.4239i 0.405367 + 0.119026i
\(223\) 183.762 26.4209i 0.824043 0.118479i 0.282622 0.959231i \(-0.408796\pi\)
0.541421 + 0.840752i \(0.317887\pi\)
\(224\) −39.9944 + 34.6553i −0.178546 + 0.154711i
\(225\) 104.252 + 132.077i 0.463342 + 0.587008i
\(226\) 193.003 + 167.238i 0.853997 + 0.739992i
\(227\) 275.951 81.0266i 1.21564 0.356945i 0.389830 0.920887i \(-0.372534\pi\)
0.825815 + 0.563942i \(0.190716\pi\)
\(228\) −37.3707 81.8304i −0.163907 0.358905i
\(229\) 13.6529i 0.0596195i −0.999556 0.0298097i \(-0.990510\pi\)
0.999556 0.0298097i \(-0.00949014\pi\)
\(230\) 28.8559 160.054i 0.125460 0.695888i
\(231\) −173.017 −0.748990
\(232\) −37.3969 + 17.0786i −0.161193 + 0.0736145i
\(233\) −55.9254 190.464i −0.240023 0.817444i −0.988097 0.153829i \(-0.950840\pi\)
0.748074 0.663615i \(-0.230979\pi\)
\(234\) 102.298 118.059i 0.437173 0.504524i
\(235\) −175.455 + 193.357i −0.746618 + 0.822795i
\(236\) −8.59039 9.91384i −0.0364000 0.0420078i
\(237\) 3.88281 + 27.0055i 0.0163832 + 0.113947i
\(238\) 96.3058 327.988i 0.404646 1.37810i
\(239\) 30.1138 19.3530i 0.125999 0.0809749i −0.476123 0.879379i \(-0.657958\pi\)
0.602122 + 0.798404i \(0.294322\pi\)
\(240\) −28.7069 9.14813i −0.119612 0.0381172i
\(241\) 209.639 + 95.7390i 0.869872 + 0.397257i 0.799787 0.600284i \(-0.204946\pi\)
0.0700851 + 0.997541i \(0.477673\pi\)
\(242\) −38.2297 17.4589i −0.157974 0.0721443i
\(243\) −248.200 35.6857i −1.02140 0.146855i
\(244\) −25.5926 39.8229i −0.104888 0.163209i
\(245\) −173.304 83.9930i −0.707362 0.342829i
\(246\) 11.5670 + 80.4503i 0.0470204 + 0.327034i
\(247\) −320.895 370.332i −1.29917 1.49932i
\(248\) 36.2285 56.3726i 0.146082 0.227309i
\(249\) 144.830 + 125.496i 0.581647 + 0.504000i
\(250\) 37.1098 172.838i 0.148439 0.691351i
\(251\) −317.759 + 145.116i −1.26597 + 0.578150i −0.931323 0.364193i \(-0.881345\pi\)
−0.334648 + 0.942343i \(0.608618\pi\)
\(252\) 125.929 0.499720
\(253\) 82.9782 269.897i 0.327977 1.06679i
\(254\) −27.6849 −0.108996
\(255\) 187.941 50.5402i 0.737025 0.198197i
\(256\) −15.3519 + 4.50772i −0.0599683 + 0.0176083i
\(257\) −11.5133 9.97636i −0.0447990 0.0388185i 0.632174 0.774827i \(-0.282163\pi\)
−0.676973 + 0.736008i \(0.736708\pi\)
\(258\) 10.4092 + 6.68962i 0.0403459 + 0.0259288i
\(259\) 269.700 + 311.250i 1.04131 + 1.20174i
\(260\) −164.074 3.75787i −0.631054 0.0144534i
\(261\) 93.8679 + 27.5621i 0.359647 + 0.105602i
\(262\) 131.749 + 205.006i 0.502860 + 0.782465i
\(263\) 16.1634 112.419i 0.0614576 0.427447i −0.935744 0.352681i \(-0.885270\pi\)
0.997201 0.0747658i \(-0.0238209\pi\)
\(264\) −47.5831 21.7305i −0.180239 0.0823124i
\(265\) 84.8256 125.573i 0.320097 0.473861i
\(266\) 56.2175 391.001i 0.211344 1.46993i
\(267\) 77.2692 49.6579i 0.289398 0.185985i
\(268\) −166.181 48.7951i −0.620078 0.182071i
\(269\) 46.7911 + 325.439i 0.173945 + 1.20981i 0.870449 + 0.492259i \(0.163829\pi\)
−0.696504 + 0.717552i \(0.745262\pi\)
\(270\) 87.3420 + 143.004i 0.323489 + 0.529644i
\(271\) 126.123 + 81.0543i 0.465399 + 0.299094i 0.752246 0.658883i \(-0.228971\pi\)
−0.286847 + 0.957976i \(0.592607\pi\)
\(272\) 67.6804 78.1074i 0.248825 0.287160i
\(273\) −221.923 + 65.1623i −0.812903 + 0.238690i
\(274\) −238.071 + 108.724i −0.868873 + 0.396801i
\(275\) 99.8606 290.218i 0.363130 1.05534i
\(276\) 20.3644 66.2377i 0.0737839 0.239992i
\(277\) 248.081i 0.895600i −0.894134 0.447800i \(-0.852208\pi\)
0.894134 0.447800i \(-0.147792\pi\)
\(278\) 349.760 159.730i 1.25813 0.574569i
\(279\) −152.999 + 44.9246i −0.548384 + 0.161020i
\(280\) −84.3262 101.944i −0.301165 0.364084i
\(281\) −132.299 + 205.861i −0.470814 + 0.732602i −0.992726 0.120398i \(-0.961583\pi\)
0.521911 + 0.853000i \(0.325219\pi\)
\(282\) −84.0782 + 72.8542i −0.298150 + 0.258348i
\(283\) 22.9585 + 159.680i 0.0811254 + 0.564239i 0.989328 + 0.145708i \(0.0465460\pi\)
−0.908202 + 0.418532i \(0.862545\pi\)
\(284\) 87.4638 + 25.6817i 0.307971 + 0.0904285i
\(285\) 206.662 88.7180i 0.725129 0.311291i
\(286\) −282.039 40.5510i −0.986149 0.141787i
\(287\) −148.260 + 324.645i −0.516587 + 1.13117i
\(288\) 34.6331 + 15.8164i 0.120254 + 0.0549181i
\(289\) −53.8787 + 374.735i −0.186431 + 1.29666i
\(290\) −40.5445 94.4453i −0.139809 0.325673i
\(291\) −65.1019 + 221.717i −0.223718 + 0.761913i
\(292\) −70.7023 + 10.1655i −0.242131 + 0.0348132i
\(293\) −60.6156 69.9541i −0.206879 0.238751i 0.642822 0.766015i \(-0.277763\pi\)
−0.849702 + 0.527264i \(0.823218\pi\)
\(294\) −69.0326 44.3645i −0.234805 0.150900i
\(295\) 25.2699 20.9028i 0.0856605 0.0708571i
\(296\) 35.0806 + 119.474i 0.118516 + 0.403627i
\(297\) 120.856 + 264.638i 0.406923 + 0.891036i
\(298\) −378.039 −1.26859
\(299\) 4.78345 377.439i 0.0159981 1.26234i
\(300\) 24.5076 71.2248i 0.0816920 0.237416i
\(301\) 22.5708 + 49.4231i 0.0749860 + 0.164196i
\(302\) 52.3486 + 178.283i 0.173340 + 0.590341i
\(303\) −169.682 147.030i −0.560007 0.485249i
\(304\) 64.5697 100.472i 0.212400 0.330501i
\(305\) 100.996 61.6851i 0.331135 0.202246i
\(306\) −243.432 + 35.0002i −0.795529 + 0.114380i
\(307\) 68.5004 233.291i 0.223128 0.759905i −0.769494 0.638654i \(-0.779491\pi\)
0.992622 0.121251i \(-0.0386905\pi\)
\(308\) −124.185 193.235i −0.403197 0.627386i
\(309\) −120.989 17.3955i −0.391549 0.0562962i
\(310\) 138.821 + 93.7744i 0.447808 + 0.302498i
\(311\) −143.964 + 315.238i −0.462907 + 1.01363i 0.523908 + 0.851775i \(0.324474\pi\)
−0.986815 + 0.161851i \(0.948254\pi\)
\(312\) −69.2174 9.95196i −0.221851 0.0318973i
\(313\) −69.8783 + 44.9081i −0.223253 + 0.143476i −0.647487 0.762077i \(-0.724180\pi\)
0.424233 + 0.905553i \(0.360544\pi\)
\(314\) 75.0894 255.731i 0.239138 0.814430i
\(315\) −7.20868 + 314.741i −0.0228847 + 0.999178i
\(316\) −27.3744 + 23.7201i −0.0866278 + 0.0750635i
\(317\) 127.071 197.726i 0.400855 0.623742i −0.580882 0.813988i \(-0.697292\pi\)
0.981737 + 0.190246i \(0.0609285\pi\)
\(318\) 42.2841 48.7985i 0.132969 0.153454i
\(319\) −50.2741 171.218i −0.157599 0.536733i
\(320\) −10.3875 38.6277i −0.0324611 0.120712i
\(321\) 67.5885i 0.210556i
\(322\) 232.475 196.338i 0.721971 0.609745i
\(323\) 771.461i 2.38842i
\(324\) −20.6673 45.2551i −0.0637879 0.139676i
\(325\) 18.7844 409.863i 0.0577983 1.26112i
\(326\) −117.409 + 135.497i −0.360150 + 0.415635i
\(327\) −209.747 134.796i −0.641427 0.412220i
\(328\) −81.5492 + 70.6627i −0.248625 + 0.215435i
\(329\) −483.542 + 69.5229i −1.46973 + 0.211316i
\(330\) 57.0358 117.683i 0.172836 0.356614i
\(331\) 335.080 215.343i 1.01233 0.650583i 0.0743324 0.997234i \(-0.476317\pi\)
0.937994 + 0.346651i \(0.112681\pi\)
\(332\) −36.2078 + 251.831i −0.109060 + 0.758526i
\(333\) 123.089 269.527i 0.369636 0.809390i
\(334\) 40.7973 89.3336i 0.122148 0.267466i
\(335\) 131.469 412.550i 0.392443 1.23149i
\(336\) −30.4772 47.4234i −0.0907058 0.141141i
\(337\) 425.796 + 125.025i 1.26349 + 0.370994i 0.843792 0.536670i \(-0.180318\pi\)
0.419698 + 0.907664i \(0.362136\pi\)
\(338\) −140.464 + 20.1957i −0.415574 + 0.0597505i
\(339\) −205.593 + 178.148i −0.606470 + 0.525509i
\(340\) 191.343 + 173.628i 0.562774 + 0.510670i
\(341\) 219.815 + 190.470i 0.644618 + 0.558564i
\(342\) −272.689 + 80.0688i −0.797337 + 0.234119i
\(343\) 40.7393 + 89.2065i 0.118773 + 0.260077i
\(344\) 16.4272i 0.0477534i
\(345\) 164.385 + 54.6893i 0.476478 + 0.158520i
\(346\) −303.274 −0.876515
\(347\) −95.8265 + 43.7625i −0.276157 + 0.126117i −0.548680 0.836033i \(-0.684869\pi\)
0.272523 + 0.962149i \(0.412142\pi\)
\(348\) −12.3382 42.0199i −0.0354545 0.120747i
\(349\) 378.008 436.245i 1.08312 1.24999i 0.116658 0.993172i \(-0.462782\pi\)
0.966461 0.256813i \(-0.0826725\pi\)
\(350\) 259.619 204.925i 0.741769 0.585499i
\(351\) 254.687 + 293.924i 0.725603 + 0.837391i
\(352\) −9.88343 68.7408i −0.0280779 0.195286i
\(353\) −43.1168 + 146.843i −0.122144 + 0.415984i −0.997750 0.0670413i \(-0.978644\pi\)
0.875606 + 0.483026i \(0.160462\pi\)
\(354\) 11.7553 7.55470i 0.0332072 0.0213410i
\(355\) −69.1942 + 217.132i −0.194913 + 0.611640i
\(356\) 110.921 + 50.6561i 0.311577 + 0.142293i
\(357\) 331.227 + 151.266i 0.927806 + 0.423715i
\(358\) 194.969 + 28.0324i 0.544607 + 0.0783027i
\(359\) −152.513 237.315i −0.424827 0.661044i 0.561190 0.827687i \(-0.310344\pi\)
−0.986017 + 0.166643i \(0.946707\pi\)
\(360\) −41.5132 + 85.6548i −0.115315 + 0.237930i
\(361\) 75.4975 + 525.097i 0.209134 + 1.45456i
\(362\) −72.1121 83.2217i −0.199205 0.229894i
\(363\) 24.2041 37.6623i 0.0666779 0.103753i
\(364\) −232.064 201.085i −0.637539 0.552431i
\(365\) −21.3597 177.291i −0.0585197 0.485729i
\(366\) 45.8686 20.9475i 0.125324 0.0572336i
\(367\) 57.9430 0.157883 0.0789414 0.996879i \(-0.474846\pi\)
0.0789414 + 0.996879i \(0.474846\pi\)
\(368\) 88.5947 24.7987i 0.240747 0.0673877i
\(369\) 256.772 0.695859
\(370\) −300.614 + 80.8394i −0.812469 + 0.218485i
\(371\) 272.046 79.8798i 0.733277 0.215310i
\(372\) 53.9465 + 46.7449i 0.145017 + 0.125658i
\(373\) −168.748 108.448i −0.452407 0.290745i 0.294526 0.955643i \(-0.404838\pi\)
−0.746933 + 0.664899i \(0.768475\pi\)
\(374\) 293.766 + 339.023i 0.785469 + 0.906480i
\(375\) 176.612 + 65.3301i 0.470967 + 0.174214i
\(376\) −141.716 41.6115i −0.376904 0.110669i
\(377\) −128.970 200.681i −0.342094 0.532309i
\(378\) −44.6185 + 310.328i −0.118038 + 0.820975i
\(379\) 603.121 + 275.436i 1.59135 + 0.726745i 0.996996 0.0774592i \(-0.0246808\pi\)
0.594353 + 0.804204i \(0.297408\pi\)
\(380\) 247.419 + 167.133i 0.651102 + 0.439824i
\(381\) 4.19699 29.1907i 0.0110157 0.0766160i
\(382\) −194.133 + 124.762i −0.508201 + 0.326601i
\(383\) −50.8093 14.9189i −0.132661 0.0389529i 0.214728 0.976674i \(-0.431114\pi\)
−0.347389 + 0.937721i \(0.612932\pi\)
\(384\) −2.42557 16.8702i −0.00631660 0.0439329i
\(385\) 490.070 299.319i 1.27291 0.777451i
\(386\) 65.7935 + 42.2829i 0.170449 + 0.109541i
\(387\) 25.5987 29.5425i 0.0661466 0.0763372i
\(388\) −294.354 + 86.4300i −0.758643 + 0.222758i
\(389\) −480.388 + 219.386i −1.23493 + 0.563974i −0.922511 0.385971i \(-0.873867\pi\)
−0.312419 + 0.949944i \(0.601139\pi\)
\(390\) 28.8356 172.428i 0.0739375 0.442124i
\(391\) −394.823 + 444.150i −1.00978 + 1.13593i
\(392\) 108.943i 0.277915i
\(393\) −236.129 + 107.836i −0.600837 + 0.274393i
\(394\) 134.226 39.4123i 0.340675 0.100031i
\(395\) −57.7176 69.7759i −0.146120 0.176648i
\(396\) −89.3455 + 139.024i −0.225620 + 0.351071i
\(397\) 340.671 295.194i 0.858115 0.743560i −0.110036 0.993928i \(-0.535097\pi\)
0.968151 + 0.250367i \(0.0805513\pi\)
\(398\) 47.1070 + 327.637i 0.118359 + 0.823208i
\(399\) 403.745 + 118.550i 1.01189 + 0.297118i
\(400\) 97.1385 23.7509i 0.242846 0.0593772i
\(401\) −330.892 47.5751i −0.825168 0.118641i −0.283222 0.959054i \(-0.591403\pi\)
−0.541946 + 0.840413i \(0.682312\pi\)
\(402\) 76.6418 167.822i 0.190651 0.417468i
\(403\) 353.684 + 161.522i 0.877628 + 0.400799i
\(404\) 42.4208 295.043i 0.105002 0.730305i
\(405\) 114.291 49.0641i 0.282200 0.121146i
\(406\) 54.1780 184.513i 0.133443 0.454466i
\(407\) −534.964 + 76.9162i −1.31441 + 0.188983i
\(408\) 72.0954 + 83.2025i 0.176704 + 0.203928i
\(409\) −473.202 304.108i −1.15697 0.743541i −0.185957 0.982558i \(-0.559539\pi\)
−0.971015 + 0.239017i \(0.923175\pi\)
\(410\) −171.942 207.864i −0.419372 0.506986i
\(411\) −78.5457 267.502i −0.191109 0.650857i
\(412\) −67.4125 147.613i −0.163622 0.358283i
\(413\) 61.3593 0.148570
\(414\) −197.972 93.4607i −0.478193 0.225751i
\(415\) −627.339 104.911i −1.51166 0.252799i
\(416\) −38.5666 84.4490i −0.0927081 0.203002i
\(417\) 115.395 + 392.998i 0.276726 + 0.942442i
\(418\) 391.774 + 339.474i 0.937258 + 0.812139i
\(419\) 320.763 499.117i 0.765545 1.19121i −0.211333 0.977414i \(-0.567781\pi\)
0.976878 0.213797i \(-0.0685831\pi\)
\(420\) 120.272 73.4582i 0.286362 0.174901i
\(421\) −121.513 + 17.4710i −0.288630 + 0.0414987i −0.285109 0.958495i \(-0.592030\pi\)
−0.00352089 + 0.999994i \(0.501121\pi\)
\(422\) 71.5722 243.753i 0.169602 0.577613i
\(423\) 190.017 + 295.671i 0.449212 + 0.698987i
\(424\) 84.8508 + 12.1997i 0.200120 + 0.0287729i
\(425\) −444.909 + 468.293i −1.04685 + 1.10187i
\(426\) −40.3379 + 88.3277i −0.0946899 + 0.207342i
\(427\) 219.169 + 31.5117i 0.513276 + 0.0737980i
\(428\) 75.4867 48.5124i 0.176371 0.113347i
\(429\) 85.5132 291.231i 0.199331 0.678860i
\(430\) −41.0572 0.940354i −0.0954819 0.00218687i
\(431\) −94.1186 + 81.5542i −0.218373 + 0.189221i −0.757177 0.653210i \(-0.773422\pi\)
0.538804 + 0.842431i \(0.318876\pi\)
\(432\) −51.2475 + 79.7426i −0.118628 + 0.184589i
\(433\) −381.242 + 439.977i −0.880468 + 1.01611i 0.119262 + 0.992863i \(0.461947\pi\)
−0.999730 + 0.0232510i \(0.992598\pi\)
\(434\) 88.3068 + 300.745i 0.203472 + 0.692962i
\(435\) 105.729 28.4320i 0.243054 0.0653608i
\(436\) 331.008i 0.759193i
\(437\) −378.567 + 572.965i −0.866286 + 1.31113i
\(438\) 76.0888i 0.173719i
\(439\) −9.97247 21.8367i −0.0227163 0.0497418i 0.897934 0.440131i \(-0.145068\pi\)
−0.920650 + 0.390389i \(0.872341\pi\)
\(440\) 172.373 20.7671i 0.391756 0.0471980i
\(441\) −169.767 + 195.921i −0.384959 + 0.444266i
\(442\) 504.487 + 324.214i 1.14137 + 0.733516i
\(443\) 335.433 290.654i 0.757185 0.656105i −0.188174 0.982136i \(-0.560257\pi\)
0.945359 + 0.326031i \(0.105711\pi\)
\(444\) −131.290 + 18.8766i −0.295698 + 0.0425149i
\(445\) −132.957 + 274.331i −0.298779 + 0.616475i
\(446\) −220.871 + 141.945i −0.495228 + 0.318263i
\(447\) 57.3101 398.601i 0.128211 0.891724i
\(448\) 31.0898 68.0772i 0.0693970 0.151958i
\(449\) −318.031 + 696.391i −0.708310 + 1.55098i 0.121287 + 0.992618i \(0.461298\pi\)
−0.829596 + 0.558364i \(0.811429\pi\)
\(450\) −211.704 108.659i −0.470454 0.241465i
\(451\) −253.214 394.009i −0.561450 0.873634i
\(452\) −346.532 101.751i −0.766664 0.225113i
\(453\) −195.916 + 28.1684i −0.432485 + 0.0621819i
\(454\) −307.386 + 266.351i −0.677061 + 0.586676i
\(455\) 515.864 568.498i 1.13377 1.24945i
\(456\) 96.1484 + 83.3131i 0.210852 + 0.182704i
\(457\) −679.405 + 199.491i −1.48666 + 0.436524i −0.921475 0.388437i \(-0.873015\pi\)
−0.565189 + 0.824961i \(0.691197\pi\)
\(458\) 8.02086 + 17.5632i 0.0175128 + 0.0383477i
\(459\) 612.291i 1.33397i
\(460\) 56.9089 + 222.848i 0.123715 + 0.484453i
\(461\) 534.704 1.15988 0.579939 0.814660i \(-0.303076\pi\)
0.579939 + 0.814660i \(0.303076\pi\)
\(462\) 222.571 101.645i 0.481756 0.220011i
\(463\) 106.214 + 361.731i 0.229403 + 0.781276i 0.991074 + 0.133312i \(0.0425612\pi\)
−0.761671 + 0.647964i \(0.775621\pi\)
\(464\) 38.0744 43.9402i 0.0820569 0.0946987i
\(465\) −119.920 + 132.155i −0.257892 + 0.284204i
\(466\) 183.838 + 212.161i 0.394503 + 0.455281i
\(467\) 26.9706 + 187.585i 0.0577529 + 0.401680i 0.998108 + 0.0614857i \(0.0195839\pi\)
−0.940355 + 0.340195i \(0.889507\pi\)
\(468\) −62.2404 + 211.971i −0.132992 + 0.452930i
\(469\) 681.526 437.990i 1.45315 0.933881i
\(470\) 112.114 351.814i 0.238540 0.748541i
\(471\) 258.257 + 117.942i 0.548316 + 0.250408i
\(472\) 16.8750 + 7.70657i 0.0357522 + 0.0163275i
\(473\) −70.5761 10.1473i −0.149210 0.0214531i
\(474\) −20.8603 32.4592i −0.0440090 0.0684793i
\(475\) −431.887 + 608.818i −0.909236 + 1.28172i
\(476\) 68.7988 + 478.506i 0.144535 + 1.00526i
\(477\) −133.584 154.164i −0.280050 0.323195i
\(478\) −27.3693 + 42.5874i −0.0572579 + 0.0890950i
\(479\) 642.224 + 556.490i 1.34076 + 1.16178i 0.972724 + 0.231964i \(0.0745150\pi\)
0.368036 + 0.929812i \(0.380030\pi\)
\(480\) 42.3034 5.09663i 0.0881321 0.0106180i
\(481\) −657.211 + 300.138i −1.36634 + 0.623988i
\(482\) −325.928 −0.676199
\(483\) 171.774 + 274.883i 0.355640 + 0.569117i
\(484\) 59.4361 0.122802
\(485\) −199.168 740.639i −0.410657 1.52709i
\(486\) 340.252 99.9071i 0.700108 0.205570i
\(487\) 384.180 + 332.894i 0.788871 + 0.683561i 0.953031 0.302873i \(-0.0979459\pi\)
−0.164160 + 0.986434i \(0.552491\pi\)
\(488\) 56.3181 + 36.1934i 0.115406 + 0.0741668i
\(489\) −125.068 144.336i −0.255762 0.295165i
\(490\) 272.285 + 6.23628i 0.555684 + 0.0127271i
\(491\) −308.596 90.6119i −0.628505 0.184546i −0.0480589 0.998845i \(-0.515304\pi\)
−0.580446 + 0.814299i \(0.697122\pi\)
\(492\) −62.1434 96.6970i −0.126308 0.196539i
\(493\) −53.4477 + 371.737i −0.108413 + 0.754030i
\(494\) 630.369 + 287.880i 1.27605 + 0.582752i
\(495\) −342.355 231.263i −0.691627 0.467199i
\(496\) −13.4867 + 93.8021i −0.0271910 + 0.189117i
\(497\) −358.699 + 230.522i −0.721728 + 0.463826i
\(498\) −260.039 76.3542i −0.522166 0.153322i
\(499\) 2.75646 + 19.1716i 0.00552397 + 0.0384201i 0.992397 0.123078i \(-0.0392765\pi\)
−0.986873 + 0.161498i \(0.948367\pi\)
\(500\) 53.8010 + 244.142i 0.107602 + 0.488285i
\(501\) 88.0077 + 56.5591i 0.175664 + 0.112892i
\(502\) 323.516 373.358i 0.644455 0.743740i
\(503\) 435.951 128.007i 0.866701 0.254486i 0.181990 0.983300i \(-0.441746\pi\)
0.684712 + 0.728814i \(0.259928\pi\)
\(504\) −161.997 + 73.9818i −0.321424 + 0.146789i
\(505\) 734.987 + 122.914i 1.45542 + 0.243393i
\(506\) 51.8163 + 395.948i 0.102404 + 0.782506i
\(507\) 151.165i 0.298157i
\(508\) 35.6143 16.2645i 0.0701068 0.0320167i
\(509\) −416.967 + 122.433i −0.819189 + 0.240536i −0.664367 0.747407i \(-0.731299\pi\)
−0.154822 + 0.987942i \(0.549480\pi\)
\(510\) −212.079 + 175.428i −0.415841 + 0.343977i
\(511\) 180.635 281.073i 0.353493 0.550046i
\(512\) 17.1007 14.8178i 0.0333997 0.0289410i
\(513\) −100.696 700.358i −0.196289 1.36522i
\(514\) 20.6719 + 6.06981i 0.0402177 + 0.0118090i
\(515\) 372.794 160.037i 0.723872 0.310752i
\(516\) −17.3207 2.49033i −0.0335672 0.00482623i
\(517\) 266.315 583.149i 0.515117 1.12795i
\(518\) −529.800 241.952i −1.02278 0.467088i
\(519\) 45.9759 319.769i 0.0885855 0.616126i
\(520\) 213.275 91.5570i 0.410144 0.176071i
\(521\) 136.984 466.524i 0.262925 0.895439i −0.717168 0.696900i \(-0.754562\pi\)
0.980093 0.198539i \(-0.0636197\pi\)
\(522\) −136.945 + 19.6898i −0.262347 + 0.0377199i
\(523\) −227.249 262.259i −0.434510 0.501452i 0.495692 0.868498i \(-0.334914\pi\)
−0.930203 + 0.367047i \(0.880369\pi\)
\(524\) −289.922 186.322i −0.553286 0.355575i
\(525\) 176.713 + 304.806i 0.336595 + 0.580583i
\(526\) 45.2515 + 154.113i 0.0860295 + 0.292990i
\(527\) −254.292 556.821i −0.482527 1.05659i
\(528\) 73.9779 0.140110
\(529\) −511.186 + 136.125i −0.966325 + 0.257326i
\(530\) −35.3484 + 211.373i −0.0666951 + 0.398817i
\(531\) −18.3387 40.1561i −0.0345361 0.0756235i
\(532\) 157.389 + 536.016i 0.295843 + 1.00755i
\(533\) −473.182 410.015i −0.887772 0.769258i
\(534\) −70.2268 + 109.275i −0.131511 + 0.204635i
\(535\) 116.928 + 191.444i 0.218557 + 0.357840i
\(536\) 242.444 34.8581i 0.452320 0.0650338i
\(537\) −59.1141 + 201.324i −0.110082 + 0.374905i
\(538\) −251.384 391.160i −0.467256 0.727064i
\(539\) 468.050 + 67.2954i 0.868367 + 0.124852i
\(540\) −196.371 132.650i −0.363649 0.245648i
\(541\) −349.412 + 765.106i −0.645864 + 1.41424i 0.249264 + 0.968435i \(0.419811\pi\)
−0.895128 + 0.445809i \(0.852916\pi\)
\(542\) −209.865 30.1740i −0.387204 0.0556716i
\(543\) 98.6802 63.4179i 0.181732 0.116792i
\(544\) −41.1781 + 140.240i −0.0756950 + 0.257794i
\(545\) 827.303 + 18.9481i 1.51799 + 0.0347672i
\(546\) 247.202 214.202i 0.452751 0.392311i
\(547\) 116.105 180.663i 0.212258 0.330280i −0.718756 0.695262i \(-0.755288\pi\)
0.931015 + 0.364982i \(0.118925\pi\)
\(548\) 242.385 279.727i 0.442308 0.510450i
\(549\) −44.8812 152.851i −0.0817507 0.278417i
\(550\) 42.0369 + 432.007i 0.0764308 + 0.785468i
\(551\) 433.994i 0.787649i
\(552\) 12.7167 + 97.1728i 0.0230374 + 0.176038i
\(553\) 169.427i 0.306378i
\(554\) 145.744 + 319.135i 0.263076 + 0.576056i
\(555\) −39.6637 329.219i −0.0714661 0.593188i
\(556\) −356.097 + 410.958i −0.640462 + 0.739133i
\(557\) 484.923 + 311.641i 0.870598 + 0.559499i 0.897936 0.440127i \(-0.145067\pi\)
−0.0273375 + 0.999626i \(0.508703\pi\)
\(558\) 170.428 147.676i 0.305426 0.264653i
\(559\) −94.3472 + 13.5651i −0.168779 + 0.0242667i
\(560\) 168.369 + 81.6012i 0.300659 + 0.145716i
\(561\) −401.997 + 258.348i −0.716573 + 0.460513i
\(562\) 49.2507 342.546i 0.0876347 0.609513i
\(563\) 282.639 618.893i 0.502023 1.09928i −0.473784 0.880641i \(-0.657112\pi\)
0.975807 0.218636i \(-0.0701606\pi\)
\(564\) 65.3586 143.115i 0.115884 0.253751i
\(565\) 274.148 860.279i 0.485217 1.52262i
\(566\) −123.344 191.926i −0.217922 0.339093i
\(567\) 223.285 + 65.5624i 0.393801 + 0.115630i
\(568\) −127.602 + 18.3464i −0.224652 + 0.0323001i
\(569\) −187.454 + 162.430i −0.329444 + 0.285465i −0.803839 0.594847i \(-0.797213\pi\)
0.474394 + 0.880312i \(0.342667\pi\)
\(570\) −213.732 + 235.539i −0.374968 + 0.413226i
\(571\) 110.754 + 95.9688i 0.193965 + 0.168071i 0.746429 0.665465i \(-0.231767\pi\)
−0.552464 + 0.833537i \(0.686312\pi\)
\(572\) 386.641 113.528i 0.675947 0.198476i
\(573\) −102.117 223.605i −0.178215 0.390236i
\(574\) 504.728i 0.879318i
\(575\) −560.232 + 129.478i −0.974317 + 0.225180i
\(576\) −53.8445 −0.0934800
\(577\) −290.255 + 132.555i −0.503041 + 0.229731i −0.650739 0.759301i \(-0.725541\pi\)
0.147698 + 0.989033i \(0.452814\pi\)
\(578\) −150.841 513.717i −0.260970 0.888783i
\(579\) −54.5569 + 62.9620i −0.0942260 + 0.108743i
\(580\) 107.642 + 97.6764i 0.185590 + 0.168408i
\(581\) −779.322 899.385i −1.34135 1.54800i
\(582\) −46.5074 323.466i −0.0799096 0.555784i
\(583\) −104.827 + 357.008i −0.179806 + 0.612364i
\(584\) 84.9803 54.6135i 0.145514 0.0935163i
\(585\) −526.226 167.694i −0.899532 0.286657i
\(586\) 119.074 + 54.3792i 0.203198 + 0.0927973i
\(587\) −700.310 319.821i −1.19303 0.544839i −0.282896 0.959150i \(-0.591295\pi\)
−0.910135 + 0.414311i \(0.864023\pi\)
\(588\) 114.868 + 16.5155i 0.195354 + 0.0280876i
\(589\) −382.441 595.090i −0.649306 1.01034i
\(590\) −20.2274 + 41.7354i −0.0342837 + 0.0707380i
\(591\) 21.2075 + 147.501i 0.0358841 + 0.249579i
\(592\) −115.317 133.083i −0.194792 0.224802i
\(593\) 395.595 615.557i 0.667107 1.03804i −0.328508 0.944501i \(-0.606546\pi\)
0.995616 0.0935382i \(-0.0298177\pi\)
\(594\) −310.942 269.433i −0.523471 0.453590i
\(595\) −1199.89 + 144.560i −2.01662 + 0.242959i
\(596\) 486.315 222.093i 0.815965 0.372639i
\(597\) −352.598 −0.590617
\(598\) 215.587 + 488.353i 0.360513 + 0.816644i
\(599\) −374.551 −0.625294 −0.312647 0.949869i \(-0.601216\pi\)
−0.312647 + 0.949869i \(0.601216\pi\)
\(600\) 10.3166 + 106.022i 0.0171944 + 0.176704i
\(601\) 223.838 65.7247i 0.372442 0.109359i −0.0901544 0.995928i \(-0.528736\pi\)
0.462596 + 0.886569i \(0.346918\pi\)
\(602\) −58.0707 50.3186i −0.0964630 0.0835857i
\(603\) −490.329 315.115i −0.813148 0.522579i
\(604\) −172.081 198.591i −0.284901 0.328794i
\(605\) −3.40235 + 148.551i −0.00562371 + 0.245539i
\(606\) 304.660 + 89.4562i 0.502739 + 0.147617i
\(607\) 518.500 + 806.802i 0.854201 + 1.32916i 0.942890 + 0.333103i \(0.108096\pi\)
−0.0886894 + 0.996059i \(0.528268\pi\)
\(608\) −24.0373 + 167.183i −0.0395350 + 0.274972i
\(609\) 186.336 + 85.0966i 0.305970 + 0.139732i
\(610\) −93.6837 + 138.686i −0.153580 + 0.227355i
\(611\) 121.965 848.286i 0.199615 1.38836i
\(612\) 292.592 188.037i 0.478091 0.307251i
\(613\) −406.599 119.388i −0.663293 0.194761i −0.0672789 0.997734i \(-0.521432\pi\)
−0.596014 + 0.802974i \(0.703250\pi\)
\(614\) 48.9352 + 340.352i 0.0796990 + 0.554319i
\(615\) 245.236 149.782i 0.398758 0.243549i
\(616\) 273.276 + 175.624i 0.443629 + 0.285103i
\(617\) 659.162 760.714i 1.06833 1.23292i 0.0969803 0.995286i \(-0.469082\pi\)
0.971354 0.237637i \(-0.0763729\pi\)
\(618\) 165.861 48.7012i 0.268383 0.0788045i
\(619\) −404.837 + 184.883i −0.654018 + 0.298680i −0.714652 0.699480i \(-0.753415\pi\)
0.0606342 + 0.998160i \(0.480688\pi\)
\(620\) −233.672 39.0775i −0.376890 0.0630283i
\(621\) 300.460 454.749i 0.483832 0.732285i
\(622\) 490.103i 0.787947i
\(623\) −518.838 + 236.945i −0.832806 + 0.380330i
\(624\) 94.8888 27.8619i 0.152065 0.0446504i
\(625\) −613.275 + 120.492i −0.981241 + 0.192787i
\(626\) 63.5096 98.8229i 0.101453 0.157864i
\(627\) −417.330 + 361.619i −0.665598 + 0.576744i
\(628\) 53.6423 + 373.090i 0.0854176 + 0.594093i
\(629\) 1091.39 + 320.462i 1.73512 + 0.509478i
\(630\) −175.633 409.122i −0.278782 0.649401i
\(631\) 281.796 + 40.5162i 0.446587 + 0.0642095i 0.361940 0.932201i \(-0.382115\pi\)
0.0846472 + 0.996411i \(0.473024\pi\)
\(632\) 21.2796 46.5959i 0.0336703 0.0737276i
\(633\) 246.160 + 112.417i 0.388878 + 0.177595i
\(634\) −47.3045 + 329.010i −0.0746128 + 0.518944i
\(635\) 38.6119 + 89.9433i 0.0608061 + 0.141643i
\(636\) −25.7265 + 87.6163i −0.0404504 + 0.137762i
\(637\) 625.696 89.9615i 0.982255 0.141227i
\(638\) 165.261 + 190.722i 0.259030 + 0.298937i
\(639\) 258.068 + 165.850i 0.403863 + 0.259547i
\(640\) 36.0559 + 43.5887i 0.0563373 + 0.0681073i
\(641\) −280.207 954.296i −0.437140 1.48876i −0.823982 0.566616i \(-0.808252\pi\)
0.386842 0.922146i \(-0.373566\pi\)
\(642\) 39.7073 + 86.9468i 0.0618494 + 0.135431i
\(643\) 423.101 0.658010 0.329005 0.944328i \(-0.393287\pi\)
0.329005 + 0.944328i \(0.393287\pi\)
\(644\) −183.713 + 389.147i −0.285268 + 0.604266i
\(645\) 7.21570 43.1477i 0.0111871 0.0668957i
\(646\) −453.222 992.418i −0.701582 1.53625i
\(647\) −90.0152 306.564i −0.139127 0.473823i 0.860221 0.509921i \(-0.170325\pi\)
−0.999348 + 0.0360978i \(0.988507\pi\)
\(648\) 53.1734 + 46.0750i 0.0820577 + 0.0711034i
\(649\) −43.5337 + 67.7398i −0.0670781 + 0.104376i
\(650\) 216.624 + 538.289i 0.333267 + 0.828136i
\(651\) −330.490 + 47.5173i −0.507665 + 0.0729912i
\(652\) 71.4338 243.281i 0.109561 0.373131i
\(653\) −169.165 263.226i −0.259058 0.403103i 0.687223 0.726446i \(-0.258829\pi\)
−0.946282 + 0.323344i \(0.895193\pi\)
\(654\) 349.011 + 50.1803i 0.533657 + 0.0767282i
\(655\) 482.278 713.949i 0.736302 1.09000i
\(656\) 63.3926 138.810i 0.0966351 0.211601i
\(657\) −237.933 34.2096i −0.362151 0.0520694i
\(658\) 581.192 373.509i 0.883270 0.567643i
\(659\) −347.391 + 1183.11i −0.527149 + 1.79531i 0.0753158 + 0.997160i \(0.476004\pi\)
−0.602465 + 0.798145i \(0.705815\pi\)
\(660\) −4.23477 + 184.896i −0.00641632 + 0.280146i
\(661\) 573.596 497.024i 0.867770 0.751927i −0.102299 0.994754i \(-0.532620\pi\)
0.970070 + 0.242826i \(0.0780745\pi\)
\(662\) −304.541 + 473.875i −0.460032 + 0.715823i
\(663\) −418.328 + 482.776i −0.630962 + 0.728169i
\(664\) −101.369 345.230i −0.152664 0.519925i
\(665\) −1348.70 + 362.685i −2.02812 + 0.545390i
\(666\) 419.036i 0.629183i
\(667\) −222.112 + 249.862i −0.333002 + 0.374605i
\(668\) 138.888i 0.207916i
\(669\) −116.182 254.403i −0.173665 0.380274i
\(670\) 73.2441 + 607.946i 0.109320 + 0.907382i
\(671\) −190.286 + 219.602i −0.283586 + 0.327276i
\(672\) 67.0668 + 43.1012i 0.0998018 + 0.0641387i
\(673\) −342.376 + 296.670i −0.508731 + 0.440818i −0.871020 0.491248i \(-0.836541\pi\)
0.362289 + 0.932066i \(0.381995\pi\)
\(674\) −621.201 + 89.3152i −0.921663 + 0.132515i
\(675\) 342.779 483.205i 0.507820 0.715859i
\(676\) 168.830 108.501i 0.249749 0.160504i
\(677\) −99.1886 + 689.872i −0.146512 + 1.01901i 0.775360 + 0.631519i \(0.217568\pi\)
−0.921872 + 0.387494i \(0.873341\pi\)
\(678\) 159.819 349.955i 0.235721 0.516157i
\(679\) 596.109 1305.30i 0.877923 1.92238i
\(680\) −348.150 110.946i −0.511986 0.163156i
\(681\) −234.239 364.483i −0.343963 0.535217i
\(682\) −394.671 115.886i −0.578697 0.169921i
\(683\) 813.642 116.984i 1.19128 0.171280i 0.481975 0.876185i \(-0.339920\pi\)
0.709301 + 0.704905i \(0.249011\pi\)
\(684\) 303.752 263.202i 0.444082 0.384799i
\(685\) 685.259 + 621.816i 1.00038 + 0.907760i
\(686\) −104.815 90.8228i −0.152792 0.132395i
\(687\) −19.7344 + 5.79455i −0.0287255 + 0.00843458i
\(688\) −9.65073 21.1322i −0.0140272 0.0307153i
\(689\) 497.402i 0.721919i
\(690\) −243.596 + 26.2208i −0.353038 + 0.0380011i
\(691\) 797.167 1.15364 0.576821 0.816870i \(-0.304293\pi\)
0.576821 + 0.816870i \(0.304293\pi\)
\(692\) 390.136 178.169i 0.563781 0.257470i
\(693\) −217.780 741.689i −0.314256 1.07026i
\(694\) 97.5628 112.593i 0.140580 0.162238i
\(695\) −1006.74 913.534i −1.44855 1.31444i
\(696\) 40.5581 + 46.8065i 0.0582731 + 0.0672508i
\(697\) 140.282 + 975.681i 0.201265 + 1.39983i
\(698\) −229.988 + 783.266i −0.329495 + 1.12216i
\(699\) −251.570 + 161.674i −0.359899 + 0.231293i
\(700\) −213.588 + 416.140i −0.305125 + 0.594486i
\(701\) −346.832 158.393i −0.494767 0.225953i 0.152374 0.988323i \(-0.451308\pi\)
−0.647141 + 0.762370i \(0.724036\pi\)
\(702\) −500.309 228.483i −0.712691 0.325475i
\(703\) 1301.07 + 187.066i 1.85074 + 0.266097i
\(704\) 53.0984 + 82.6227i 0.0754239 + 0.117362i
\(705\) 353.953 + 171.546i 0.502061 + 0.243328i
\(706\) −30.8017 214.231i −0.0436285 0.303443i
\(707\) 913.049 + 1053.71i 1.29144 + 1.49040i
\(708\) −10.6840 + 16.6246i −0.0150903 + 0.0234810i
\(709\) −228.869 198.316i −0.322806 0.279713i 0.478349 0.878170i \(-0.341235\pi\)
−0.801155 + 0.598457i \(0.795781\pi\)
\(710\) −38.5496 319.972i −0.0542953 0.450665i
\(711\) −110.880 + 50.6372i −0.155950 + 0.0712198i
\(712\) −172.451 −0.242206
\(713\) 84.3774 538.336i 0.118341 0.755030i
\(714\) −514.962 −0.721235
\(715\) 261.613 + 972.849i 0.365893 + 1.36063i
\(716\) −267.280 + 78.4805i −0.373296 + 0.109610i
\(717\) −40.7546 35.3141i −0.0568404 0.0492525i
\(718\) 335.614 + 215.686i 0.467429 + 0.300398i
\(719\) 103.373 + 119.299i 0.143773 + 0.165923i 0.823069 0.567942i \(-0.192260\pi\)
−0.679296 + 0.733865i \(0.737715\pi\)
\(720\) 3.08226 134.576i 0.00428092 0.186911i
\(721\) 728.310 + 213.851i 1.01014 + 0.296603i
\(722\) −405.608 631.138i −0.561784 0.874153i
\(723\) 49.4102 343.655i 0.0683405 0.475319i
\(724\) 141.658 + 64.6928i 0.195660 + 0.0893547i
\(725\) −250.289 + 263.444i −0.345226 + 0.363371i
\(726\) −9.01041 + 62.6688i −0.0124110 + 0.0863207i
\(727\) −171.026 + 109.912i −0.235250 + 0.151186i −0.652955 0.757397i \(-0.726471\pi\)
0.417705 + 0.908583i \(0.362834\pi\)
\(728\) 416.665 + 122.344i 0.572342 + 0.168055i
\(729\) 21.8980 + 152.304i 0.0300384 + 0.208922i
\(730\) 131.633 + 215.521i 0.180320 + 0.295235i
\(731\) 126.241 + 81.1300i 0.172696 + 0.110985i
\(732\) −46.6997 + 53.8943i −0.0637974 + 0.0736261i
\(733\) 958.366 281.402i 1.30746 0.383904i 0.447506 0.894281i \(-0.352312\pi\)
0.859951 + 0.510377i \(0.170494\pi\)
\(734\) −74.5386 + 34.0406i −0.101551 + 0.0463769i
\(735\) −47.8534 + 286.149i −0.0651067 + 0.389319i
\(736\) −99.4006 + 83.9495i −0.135055 + 0.114062i
\(737\) 1063.14i 1.44253i
\(738\) −330.315 + 150.850i −0.447582 + 0.204404i
\(739\) 761.785 223.680i 1.03083 0.302680i 0.277783 0.960644i \(-0.410400\pi\)
0.753049 + 0.657964i \(0.228582\pi\)
\(740\) 339.222 280.599i 0.458408 0.379188i
\(741\) −399.100 + 621.012i −0.538597 + 0.838073i
\(742\) −303.035 + 262.581i −0.408403 + 0.353883i
\(743\) −37.5385 261.086i −0.0505229 0.351395i −0.999365 0.0356424i \(-0.988652\pi\)
0.948842 0.315752i \(-0.102257\pi\)
\(744\) −96.8595 28.4405i −0.130187 0.0382265i
\(745\) 527.247 + 1228.18i 0.707715 + 1.64857i
\(746\) 280.791 + 40.3717i 0.376396 + 0.0541175i
\(747\) −355.676 + 778.823i −0.476140 + 1.04260i
\(748\) −577.075 263.542i −0.771491 0.352328i
\(749\) −59.7324 + 415.448i −0.0797496 + 0.554670i
\(750\) −265.577 + 19.7157i −0.354103 + 0.0262876i
\(751\) 360.364 1227.29i 0.479846 1.63421i −0.263038 0.964785i \(-0.584725\pi\)
0.742884 0.669420i \(-0.233457\pi\)
\(752\) 206.751 29.7263i 0.274935 0.0395297i
\(753\) 344.620 + 397.713i 0.457663 + 0.528171i
\(754\) 283.805 + 182.390i 0.376399 + 0.241897i
\(755\) 506.199 418.720i 0.670462 0.554596i
\(756\) −124.916 425.424i −0.165232 0.562730i
\(757\) 138.838 + 304.013i 0.183406 + 0.401602i 0.978895 0.204366i \(-0.0655132\pi\)
−0.795489 + 0.605968i \(0.792786\pi\)
\(758\) −937.678 −1.23704
\(759\) −425.339 5.39050i −0.560394 0.00710210i
\(760\) −416.472 69.6476i −0.547989 0.0916415i
\(761\) 126.301 + 276.560i 0.165967 + 0.363416i 0.974282 0.225334i \(-0.0723474\pi\)
−0.808315 + 0.588750i \(0.799620\pi\)
\(762\) 11.7500 + 40.0170i 0.0154200 + 0.0525157i
\(763\) 1170.13 + 1013.92i 1.53359 + 1.32886i
\(764\) 176.440 274.545i 0.230942 0.359353i
\(765\) 453.221 + 742.052i 0.592446 + 0.970003i
\(766\) 74.1264 10.6578i 0.0967708 0.0139135i
\(767\) −30.3267 + 103.283i −0.0395394 + 0.134659i
\(768\) 13.0313 + 20.2771i 0.0169679 + 0.0264025i
\(769\) −562.506 80.8761i −0.731477 0.105171i −0.233495 0.972358i \(-0.575016\pi\)
−0.497982 + 0.867187i \(0.665925\pi\)
\(770\) −454.587 + 672.956i −0.590373 + 0.873969i
\(771\) −9.53378 + 20.8761i −0.0123655 + 0.0270766i
\(772\) −109.478 15.7406i −0.141811 0.0203894i
\(773\) −554.911 + 356.620i −0.717867 + 0.461345i −0.847894 0.530165i \(-0.822130\pi\)
0.130027 + 0.991510i \(0.458493\pi\)