Properties

Label 731.2.p.a.16.8
Level 731
Weight 2
Character 731.16
Analytic conductor 5.837
Analytic rank 0
Dimension 384
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.p (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(64\) over \(\Q(\zeta_{14})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 16.8
Character \(\chi\) = 731.16
Dual form 731.2.p.a.594.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.521303 - 2.28398i) q^{2} +(1.00960 + 0.230435i) q^{3} +(-3.14286 + 1.51352i) q^{4} +(2.97746 - 2.37445i) q^{5} -2.42604i q^{6} -3.68726i q^{7} +(2.17391 + 2.72600i) q^{8} +(-1.73671 - 0.836354i) q^{9} +O(q^{10})\) \(q+(-0.521303 - 2.28398i) q^{2} +(1.00960 + 0.230435i) q^{3} +(-3.14286 + 1.51352i) q^{4} +(2.97746 - 2.37445i) q^{5} -2.42604i q^{6} -3.68726i q^{7} +(2.17391 + 2.72600i) q^{8} +(-1.73671 - 0.836354i) q^{9} +(-6.97534 - 5.56265i) q^{10} +(-1.17682 + 2.44368i) q^{11} +(-3.52181 + 0.803830i) q^{12} +(0.443006 + 0.555512i) q^{13} +(-8.42162 + 1.92218i) q^{14} +(3.55321 - 1.71114i) q^{15} +(0.742997 - 0.931689i) q^{16} +(3.88079 - 1.39264i) q^{17} +(-1.00486 + 4.40260i) q^{18} +(-1.54294 + 0.743041i) q^{19} +(-5.76396 + 11.9690i) q^{20} +(0.849675 - 3.72267i) q^{21} +(6.19479 + 1.41392i) q^{22} +(-0.363947 + 0.755744i) q^{23} +(1.56662 + 3.25312i) q^{24} +(2.11468 - 9.26501i) q^{25} +(1.03784 - 1.30141i) q^{26} +(-3.98958 - 3.18158i) q^{27} +(5.58074 + 11.5885i) q^{28} +(-2.76515 + 0.631127i) q^{29} +(-5.76050 - 7.22343i) q^{30} +(9.01589 - 2.05782i) q^{31} +(3.76749 + 1.81433i) q^{32} +(-1.75123 + 2.19597i) q^{33} +(-5.20383 - 8.13765i) q^{34} +(-8.75520 - 10.9787i) q^{35} +6.72406 q^{36} +6.28732i q^{37} +(2.50143 + 3.13669i) q^{38} +(0.319251 + 0.662931i) q^{39} +(12.9455 + 2.95472i) q^{40} +(-8.33376 + 1.90213i) q^{41} -8.94543 q^{42} +(6.34017 - 1.67399i) q^{43} -9.46128i q^{44} +(-7.15686 + 1.63351i) q^{45} +(1.91583 + 0.437275i) q^{46} +(5.42101 - 2.61062i) q^{47} +(0.964827 - 0.769424i) q^{48} -6.59589 q^{49} -22.2634 q^{50} +(4.23898 - 0.511742i) q^{51} +(-2.23308 - 1.07540i) q^{52} +(-6.83227 + 8.56739i) q^{53} +(-5.18688 + 10.7707i) q^{54} +(2.29847 + 10.0703i) q^{55} +(10.0515 - 8.01577i) q^{56} +(-1.72898 + 0.394629i) q^{57} +(2.88296 + 5.98652i) q^{58} +(4.71434 - 5.91160i) q^{59} +(-8.57740 + 10.7557i) q^{60} +(-3.01700 - 0.688610i) q^{61} +(-9.40002 - 19.5193i) q^{62} +(-3.08386 + 6.40370i) q^{63} +(2.71023 - 11.8743i) q^{64} +(2.63807 + 0.602122i) q^{65} +(5.92847 + 2.85500i) q^{66} +(1.39252 - 0.670602i) q^{67} +(-10.0890 + 10.2505i) q^{68} +(-0.541592 + 0.679135i) q^{69} +(-20.5109 + 25.7199i) q^{70} +(-2.35393 - 4.88799i) q^{71} +(-1.49555 - 6.55242i) q^{72} +(-2.05527 + 1.63902i) q^{73} +(14.3601 - 3.27760i) q^{74} +(4.26997 - 8.86669i) q^{75} +(3.72463 - 4.67054i) q^{76} +(9.01050 + 4.33923i) q^{77} +(1.34769 - 1.07475i) q^{78} +4.91919i q^{79} -4.53828i q^{80} +(0.310775 + 0.389700i) q^{81} +(8.68883 + 18.0425i) q^{82} +(2.92232 - 12.8035i) q^{83} +(2.96393 + 12.9858i) q^{84} +(8.24816 - 13.3613i) q^{85} +(-7.12851 - 13.6081i) q^{86} -2.93714 q^{87} +(-9.21976 + 2.10435i) q^{88} +(-2.01869 + 8.84446i) q^{89} +(7.46178 + 15.4946i) q^{90} +(2.04832 - 1.63348i) q^{91} -2.92604i q^{92} +9.57667 q^{93} +(-8.78859 - 11.0205i) q^{94} +(-2.82974 + 5.87601i) q^{95} +(3.38559 + 2.69992i) q^{96} +(-2.40411 + 4.99219i) q^{97} +(3.43846 + 15.0649i) q^{98} +(4.08757 - 3.25973i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} + O(q^{10}) \) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} - 18q^{13} - 12q^{15} - 20q^{16} - 14q^{17} + 30q^{18} + 8q^{19} + 20q^{21} + 46q^{25} + 2q^{26} - 30q^{30} + 50q^{32} - 90q^{33} + 8q^{34} + 52q^{35} - 328q^{36} - 46q^{38} + 184q^{42} + 60q^{43} - 2q^{47} - 340q^{49} - 172q^{50} - 68q^{51} + 38q^{52} - 8q^{53} - 28q^{55} + 10q^{59} + 58q^{60} - 44q^{64} + 90q^{66} - 104q^{67} + 60q^{68} - 2q^{69} + 40q^{70} - 164q^{72} - 72q^{76} + 94q^{77} + 120q^{81} - 66q^{83} + 112q^{84} - 96q^{85} - 136q^{86} + 72q^{87} - 6q^{89} - 220q^{93} - 142q^{94} + 124q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{4}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.521303 2.28398i −0.368617 1.61502i −0.730583 0.682824i \(-0.760751\pi\)
0.361966 0.932191i \(-0.382106\pi\)
\(3\) 1.00960 + 0.230435i 0.582895 + 0.133042i 0.503793 0.863825i \(-0.331938\pi\)
0.0791021 + 0.996867i \(0.474795\pi\)
\(4\) −3.14286 + 1.51352i −1.57143 + 0.756760i
\(5\) 2.97746 2.37445i 1.33156 1.06188i 0.338917 0.940816i \(-0.389939\pi\)
0.992644 0.121068i \(-0.0386321\pi\)
\(6\) 2.42604i 0.990426i
\(7\) 3.68726i 1.39365i −0.717239 0.696827i \(-0.754595\pi\)
0.717239 0.696827i \(-0.245405\pi\)
\(8\) 2.17391 + 2.72600i 0.768593 + 0.963785i
\(9\) −1.73671 0.836354i −0.578903 0.278785i
\(10\) −6.97534 5.56265i −2.20580 1.75906i
\(11\) −1.17682 + 2.44368i −0.354823 + 0.736798i −0.999620 0.0275557i \(-0.991228\pi\)
0.644797 + 0.764354i \(0.276942\pi\)
\(12\) −3.52181 + 0.803830i −1.01666 + 0.232046i
\(13\) 0.443006 + 0.555512i 0.122868 + 0.154071i 0.839461 0.543420i \(-0.182871\pi\)
−0.716593 + 0.697491i \(0.754299\pi\)
\(14\) −8.42162 + 1.92218i −2.25077 + 0.513724i
\(15\) 3.55321 1.71114i 0.917435 0.441814i
\(16\) 0.742997 0.931689i 0.185749 0.232922i
\(17\) 3.88079 1.39264i 0.941231 0.337765i
\(18\) −1.00486 + 4.40260i −0.236849 + 1.03770i
\(19\) −1.54294 + 0.743041i −0.353975 + 0.170465i −0.602417 0.798181i \(-0.705796\pi\)
0.248442 + 0.968647i \(0.420081\pi\)
\(20\) −5.76396 + 11.9690i −1.28886 + 2.67635i
\(21\) 0.849675 3.72267i 0.185414 0.812353i
\(22\) 6.19479 + 1.41392i 1.32073 + 0.301449i
\(23\) −0.363947 + 0.755744i −0.0758882 + 0.157583i −0.935461 0.353430i \(-0.885015\pi\)
0.859573 + 0.511013i \(0.170730\pi\)
\(24\) 1.56662 + 3.25312i 0.319785 + 0.664040i
\(25\) 2.11468 9.26501i 0.422935 1.85300i
\(26\) 1.03784 1.30141i 0.203537 0.255227i
\(27\) −3.98958 3.18158i −0.767795 0.612296i
\(28\) 5.58074 + 11.5885i 1.05466 + 2.19003i
\(29\) −2.76515 + 0.631127i −0.513475 + 0.117197i −0.471404 0.881917i \(-0.656253\pi\)
−0.0420709 + 0.999115i \(0.513396\pi\)
\(30\) −5.76050 7.22343i −1.05172 1.31881i
\(31\) 9.01589 2.05782i 1.61930 0.369595i 0.685693 0.727891i \(-0.259499\pi\)
0.933608 + 0.358296i \(0.116642\pi\)
\(32\) 3.76749 + 1.81433i 0.666005 + 0.320731i
\(33\) −1.75123 + 2.19597i −0.304850 + 0.382269i
\(34\) −5.20383 8.13765i −0.892449 1.39560i
\(35\) −8.75520 10.9787i −1.47990 1.85574i
\(36\) 6.72406 1.12068
\(37\) 6.28732i 1.03363i 0.856097 + 0.516815i \(0.172882\pi\)
−0.856097 + 0.516815i \(0.827118\pi\)
\(38\) 2.50143 + 3.13669i 0.405785 + 0.508839i
\(39\) 0.319251 + 0.662931i 0.0511211 + 0.106154i
\(40\) 12.9455 + 2.95472i 2.04686 + 0.467182i
\(41\) −8.33376 + 1.90213i −1.30152 + 0.297062i −0.816450 0.577416i \(-0.804061\pi\)
−0.485065 + 0.874478i \(0.661204\pi\)
\(42\) −8.94543 −1.38031
\(43\) 6.34017 1.67399i 0.966867 0.255281i
\(44\) 9.46128i 1.42634i
\(45\) −7.15686 + 1.63351i −1.06688 + 0.243509i
\(46\) 1.91583 + 0.437275i 0.282473 + 0.0644727i
\(47\) 5.42101 2.61062i 0.790736 0.380798i 0.00549205 0.999985i \(-0.498252\pi\)
0.785244 + 0.619187i \(0.212538\pi\)
\(48\) 0.964827 0.769424i 0.139261 0.111057i
\(49\) −6.59589 −0.942270
\(50\) −22.2634 −3.14853
\(51\) 4.23898 0.511742i 0.593575 0.0716582i
\(52\) −2.23308 1.07540i −0.309673 0.149131i
\(53\) −6.83227 + 8.56739i −0.938484 + 1.17682i 0.0455718 + 0.998961i \(0.485489\pi\)
−0.984056 + 0.177861i \(0.943082\pi\)
\(54\) −5.18688 + 10.7707i −0.705845 + 1.46570i
\(55\) 2.29847 + 10.0703i 0.309926 + 1.35787i
\(56\) 10.0515 8.01577i 1.34318 1.07115i
\(57\) −1.72898 + 0.394629i −0.229009 + 0.0522699i
\(58\) 2.88296 + 5.98652i 0.378551 + 0.786069i
\(59\) 4.71434 5.91160i 0.613755 0.769625i −0.373695 0.927551i \(-0.621909\pi\)
0.987451 + 0.157927i \(0.0504809\pi\)
\(60\) −8.57740 + 10.7557i −1.10734 + 1.38856i
\(61\) −3.01700 0.688610i −0.386287 0.0881674i 0.0249671 0.999688i \(-0.492052\pi\)
−0.411254 + 0.911521i \(0.634909\pi\)
\(62\) −9.40002 19.5193i −1.19380 2.47896i
\(63\) −3.08386 + 6.40370i −0.388529 + 0.806790i
\(64\) 2.71023 11.8743i 0.338778 1.48429i
\(65\) 2.63807 + 0.602122i 0.327212 + 0.0746840i
\(66\) 5.92847 + 2.85500i 0.729744 + 0.351426i
\(67\) 1.39252 0.670602i 0.170123 0.0819271i −0.346884 0.937908i \(-0.612760\pi\)
0.517007 + 0.855981i \(0.327046\pi\)
\(68\) −10.0890 + 10.2505i −1.22347 + 1.24306i
\(69\) −0.541592 + 0.679135i −0.0652000 + 0.0817583i
\(70\) −20.5109 + 25.7199i −2.45153 + 3.07412i
\(71\) −2.35393 4.88799i −0.279360 0.580098i 0.713324 0.700834i \(-0.247189\pi\)
−0.992685 + 0.120736i \(0.961474\pi\)
\(72\) −1.49555 6.55242i −0.176252 0.772210i
\(73\) −2.05527 + 1.63902i −0.240551 + 0.191833i −0.736343 0.676608i \(-0.763449\pi\)
0.495792 + 0.868441i \(0.334878\pi\)
\(74\) 14.3601 3.27760i 1.66933 0.381013i
\(75\) 4.26997 8.86669i 0.493054 1.02384i
\(76\) 3.72463 4.67054i 0.427245 0.535748i
\(77\) 9.01050 + 4.33923i 1.02684 + 0.494501i
\(78\) 1.34769 1.07475i 0.152596 0.121691i
\(79\) 4.91919i 0.553452i 0.960949 + 0.276726i \(0.0892494\pi\)
−0.960949 + 0.276726i \(0.910751\pi\)
\(80\) 4.53828i 0.507395i
\(81\) 0.310775 + 0.389700i 0.0345306 + 0.0433000i
\(82\) 8.68883 + 18.0425i 0.959521 + 1.99247i
\(83\) 2.92232 12.8035i 0.320767 1.40537i −0.515426 0.856934i \(-0.672366\pi\)
0.836192 0.548436i \(-0.184777\pi\)
\(84\) 2.96393 + 12.9858i 0.323391 + 1.41687i
\(85\) 8.24816 13.3613i 0.894639 1.44923i
\(86\) −7.12851 13.6081i −0.768687 1.46740i
\(87\) −2.93714 −0.314894
\(88\) −9.21976 + 2.10435i −0.982830 + 0.224324i
\(89\) −2.01869 + 8.84446i −0.213981 + 0.937511i 0.747850 + 0.663867i \(0.231086\pi\)
−0.961831 + 0.273644i \(0.911771\pi\)
\(90\) 7.46178 + 15.4946i 0.786541 + 1.63327i
\(91\) 2.04832 1.63348i 0.214722 0.171235i
\(92\) 2.92604i 0.305060i
\(93\) 9.57667 0.993054
\(94\) −8.78859 11.0205i −0.906474 1.13668i
\(95\) −2.82974 + 5.87601i −0.290325 + 0.602866i
\(96\) 3.38559 + 2.69992i 0.345540 + 0.275559i
\(97\) −2.40411 + 4.99219i −0.244101 + 0.506880i −0.986639 0.162924i \(-0.947908\pi\)
0.742538 + 0.669804i \(0.233622\pi\)
\(98\) 3.43846 + 15.0649i 0.347337 + 1.52178i
\(99\) 4.08757 3.25973i 0.410816 0.327615i
\(100\) 7.37664 + 32.3192i 0.737664 + 3.23192i
\(101\) 14.7510 7.10372i 1.46778 0.706847i 0.482203 0.876060i \(-0.339837\pi\)
0.985580 + 0.169213i \(0.0541226\pi\)
\(102\) −3.37860 9.41495i −0.334531 0.932219i
\(103\) −4.34712 + 5.45111i −0.428334 + 0.537114i −0.948427 0.316996i \(-0.897326\pi\)
0.520093 + 0.854110i \(0.325897\pi\)
\(104\) −0.551269 + 2.41527i −0.0540563 + 0.236836i
\(105\) −6.30941 13.1016i −0.615735 1.27859i
\(106\) 23.1294 + 11.1385i 2.24653 + 1.08187i
\(107\) 11.4626 + 2.61626i 1.10813 + 0.252923i 0.737157 0.675721i \(-0.236168\pi\)
0.370971 + 0.928644i \(0.379025\pi\)
\(108\) 17.3541 + 3.96095i 1.66990 + 0.381143i
\(109\) 3.81062 7.91284i 0.364992 0.757913i −0.634901 0.772594i \(-0.718959\pi\)
0.999892 + 0.0146808i \(0.00467323\pi\)
\(110\) 21.8020 10.4993i 2.07874 1.00107i
\(111\) −1.44882 + 6.34770i −0.137516 + 0.602497i
\(112\) −3.43538 2.73963i −0.324613 0.258870i
\(113\) 6.08274 + 4.85082i 0.572216 + 0.456327i 0.866350 0.499437i \(-0.166460\pi\)
−0.294134 + 0.955764i \(0.595031\pi\)
\(114\) 1.80265 + 3.74323i 0.168833 + 0.350586i
\(115\) 0.710835 + 3.11437i 0.0662857 + 0.290417i
\(116\) 7.73524 6.16865i 0.718199 0.572745i
\(117\) −0.304767 1.33527i −0.0281757 0.123446i
\(118\) −15.9596 7.68572i −1.46920 0.707528i
\(119\) −5.13503 14.3095i −0.470727 1.31175i
\(120\) 12.3889 + 5.96618i 1.13095 + 0.544636i
\(121\) 2.27170 + 2.84862i 0.206518 + 0.258965i
\(122\) 7.24972i 0.656359i
\(123\) −8.85211 −0.798168
\(124\) −25.2211 + 20.1132i −2.26492 + 1.80621i
\(125\) −7.44106 15.4515i −0.665548 1.38203i
\(126\) 16.2335 + 3.70519i 1.44620 + 0.330085i
\(127\) 0.110745 + 0.485206i 0.00982704 + 0.0430551i 0.979604 0.200939i \(-0.0643994\pi\)
−0.969777 + 0.243994i \(0.921542\pi\)
\(128\) −20.1702 −1.78281
\(129\) 6.78680 0.229068i 0.597545 0.0201683i
\(130\) 6.33917i 0.555982i
\(131\) −3.92063 + 0.894858i −0.342547 + 0.0781841i −0.390334 0.920673i \(-0.627640\pi\)
0.0477868 + 0.998858i \(0.484783\pi\)
\(132\) 2.18021 9.55214i 0.189763 0.831407i
\(133\) 2.73979 + 5.68923i 0.237570 + 0.493318i
\(134\) −2.25756 2.83089i −0.195024 0.244552i
\(135\) −19.4333 −1.67255
\(136\) 12.2328 + 7.55155i 1.04896 + 0.647540i
\(137\) −8.18552 10.2643i −0.699336 0.876939i 0.297638 0.954679i \(-0.403801\pi\)
−0.996974 + 0.0777394i \(0.975230\pi\)
\(138\) 1.83346 + 0.882949i 0.156075 + 0.0751616i
\(139\) 0.295915 + 0.235985i 0.0250992 + 0.0200160i 0.635959 0.771723i \(-0.280605\pi\)
−0.610860 + 0.791739i \(0.709176\pi\)
\(140\) 44.1328 + 21.2532i 3.72990 + 1.79623i
\(141\) 6.07465 1.38650i 0.511578 0.116764i
\(142\) −9.93695 + 7.92445i −0.833890 + 0.665005i
\(143\) −1.87883 + 0.428831i −0.157116 + 0.0358607i
\(144\) −2.06959 + 0.996663i −0.172466 + 0.0830552i
\(145\) −6.73454 + 8.44485i −0.559273 + 0.701307i
\(146\) 4.81491 + 3.83976i 0.398485 + 0.317781i
\(147\) −6.65923 1.51993i −0.549244 0.125361i
\(148\) −9.51599 19.7601i −0.782209 1.62427i
\(149\) −20.1689 9.71282i −1.65230 0.795705i −0.999263 0.0383772i \(-0.987781\pi\)
−0.653035 0.757328i \(-0.726505\pi\)
\(150\) −22.4773 5.13029i −1.83526 0.418886i
\(151\) −0.737969 + 3.23325i −0.0600550 + 0.263118i −0.996038 0.0889265i \(-0.971656\pi\)
0.935983 + 0.352045i \(0.114514\pi\)
\(152\) −5.37974 2.59075i −0.436354 0.210137i
\(153\) −7.90454 0.827109i −0.639045 0.0668678i
\(154\) 5.21350 22.8418i 0.420115 1.84065i
\(155\) 21.9583 27.5348i 1.76373 2.21165i
\(156\) −2.00672 1.60031i −0.160666 0.128127i
\(157\) 10.3037 4.96202i 0.822327 0.396012i 0.0250953 0.999685i \(-0.492011\pi\)
0.797232 + 0.603673i \(0.206297\pi\)
\(158\) 11.2353 2.56439i 0.893834 0.204012i
\(159\) −8.87211 + 7.07527i −0.703604 + 0.561105i
\(160\) 15.5256 3.54362i 1.22741 0.280148i
\(161\) 2.78662 + 1.34197i 0.219617 + 0.105762i
\(162\) 0.728057 0.912955i 0.0572016 0.0717285i
\(163\) −1.16869 + 2.42680i −0.0915385 + 0.190082i −0.941711 0.336422i \(-0.890783\pi\)
0.850173 + 0.526504i \(0.176497\pi\)
\(164\) 23.3129 18.5914i 1.82043 1.45175i
\(165\) 10.6966i 0.832730i
\(166\) −30.7664 −2.38793
\(167\) −0.151677 + 0.120958i −0.0117371 + 0.00936002i −0.629341 0.777129i \(-0.716675\pi\)
0.617604 + 0.786489i \(0.288104\pi\)
\(168\) 11.9951 5.77654i 0.925442 0.445669i
\(169\) 2.78043 12.1819i 0.213879 0.937067i
\(170\) −34.8166 11.8733i −2.67031 0.910644i
\(171\) 3.30108 0.252440
\(172\) −17.3926 + 14.8571i −1.32618 + 1.13284i
\(173\) 6.86037i 0.521584i −0.965395 0.260792i \(-0.916016\pi\)
0.965395 0.260792i \(-0.0839838\pi\)
\(174\) 1.53114 + 6.70835i 0.116075 + 0.508559i
\(175\) −34.1625 7.79737i −2.58244 0.589425i
\(176\) 1.40238 + 2.91208i 0.105709 + 0.219506i
\(177\) 6.12186 4.88202i 0.460147 0.366955i
\(178\) 21.2529 1.59297
\(179\) 22.8876 1.71070 0.855350 0.518050i \(-0.173342\pi\)
0.855350 + 0.518050i \(0.173342\pi\)
\(180\) 20.0206 15.9659i 1.49225 1.19003i
\(181\) −9.26503 + 19.2390i −0.688664 + 1.43003i 0.203848 + 0.979003i \(0.434655\pi\)
−0.892512 + 0.451024i \(0.851059\pi\)
\(182\) −4.79862 3.82677i −0.355698 0.283659i
\(183\) −2.88729 1.39045i −0.213435 0.102785i
\(184\) −2.85134 + 0.650800i −0.210204 + 0.0479776i
\(185\) 14.9289 + 18.7203i 1.09759 + 1.37634i
\(186\) −4.99234 21.8729i −0.366056 1.60380i
\(187\) −1.16381 + 11.1223i −0.0851060 + 0.813344i
\(188\) −13.0862 + 16.4096i −0.954412 + 1.19679i
\(189\) −11.7313 + 14.7106i −0.853328 + 1.07004i
\(190\) 14.8958 + 3.39987i 1.08066 + 0.246653i
\(191\) 19.2816 9.28553i 1.39517 0.671877i 0.422993 0.906133i \(-0.360980\pi\)
0.972175 + 0.234256i \(0.0752653\pi\)
\(192\) 5.47251 11.3638i 0.394944 0.820110i
\(193\) 23.8547 + 5.44467i 1.71710 + 0.391916i 0.963981 0.265973i \(-0.0856932\pi\)
0.753115 + 0.657889i \(0.228550\pi\)
\(194\) 12.6553 + 2.88849i 0.908599 + 0.207382i
\(195\) 2.52465 + 1.21581i 0.180794 + 0.0870659i
\(196\) 20.7299 9.98301i 1.48071 0.713072i
\(197\) −13.7442 3.13703i −0.979236 0.223504i −0.297194 0.954817i \(-0.596051\pi\)
−0.682042 + 0.731313i \(0.738908\pi\)
\(198\) −9.57601 7.63661i −0.680537 0.542710i
\(199\) −11.0656 8.82451i −0.784418 0.625553i 0.147152 0.989114i \(-0.452989\pi\)
−0.931570 + 0.363561i \(0.881561\pi\)
\(200\) 29.8535 14.3767i 2.11096 1.01658i
\(201\) 1.56042 0.356156i 0.110064 0.0251213i
\(202\) −23.9145 29.9878i −1.68262 2.10994i
\(203\) 2.32713 + 10.1958i 0.163332 + 0.715606i
\(204\) −12.5480 + 8.02411i −0.878533 + 0.561800i
\(205\) −20.2970 + 25.4516i −1.41760 + 1.77762i
\(206\) 14.7164 + 7.08704i 1.02534 + 0.493777i
\(207\) 1.26414 1.00812i 0.0878638 0.0700690i
\(208\) 0.846717 0.0587093
\(209\) 4.64488i 0.321293i
\(210\) −26.6347 + 21.2405i −1.83797 + 1.46573i
\(211\) −4.52857 9.40368i −0.311760 0.647376i 0.684936 0.728604i \(-0.259830\pi\)
−0.996696 + 0.0812274i \(0.974116\pi\)
\(212\) 8.50592 37.2669i 0.584189 2.55950i
\(213\) −1.25017 5.47736i −0.0856604 0.375303i
\(214\) 27.5441i 1.88288i
\(215\) 14.9028 20.0386i 1.01636 1.36662i
\(216\) 17.7920i 1.21060i
\(217\) −7.58771 33.2439i −0.515087 2.25674i
\(218\) −20.0592 4.57839i −1.35858 0.310088i
\(219\) −2.45270 + 1.18116i −0.165738 + 0.0798152i
\(220\) −22.4653 28.1706i −1.51461 1.89926i
\(221\) 2.49284 + 1.53888i 0.167687 + 0.103516i
\(222\) 15.2533 1.02373
\(223\) 3.76821 + 4.72518i 0.252338 + 0.316422i 0.891825 0.452380i \(-0.149425\pi\)
−0.639488 + 0.768801i \(0.720853\pi\)
\(224\) 6.68991 13.8917i 0.446988 0.928181i
\(225\) −11.4214 + 14.3220i −0.761427 + 0.954799i
\(226\) 7.90822 16.4216i 0.526047 1.09235i
\(227\) −18.2865 + 4.17377i −1.21372 + 0.277023i −0.781014 0.624514i \(-0.785297\pi\)
−0.432702 + 0.901537i \(0.642440\pi\)
\(228\) 4.83666 3.85711i 0.320316 0.255443i
\(229\) 6.08642 + 26.6664i 0.402202 + 1.76216i 0.618450 + 0.785824i \(0.287761\pi\)
−0.216248 + 0.976339i \(0.569382\pi\)
\(230\) 6.74259 3.24706i 0.444593 0.214105i
\(231\) 8.09712 + 6.45724i 0.532751 + 0.424855i
\(232\) −7.73163 6.16577i −0.507606 0.404802i
\(233\) 27.8440 + 6.35522i 1.82412 + 0.416344i 0.990674 0.136252i \(-0.0435056\pi\)
0.833449 + 0.552596i \(0.186363\pi\)
\(234\) −2.89086 + 1.39216i −0.188981 + 0.0910085i
\(235\) 9.94207 20.6449i 0.648549 1.34673i
\(236\) −5.86918 + 25.7146i −0.382051 + 1.67388i
\(237\) −1.13356 + 4.96643i −0.0736323 + 0.322604i
\(238\) −30.0057 + 19.1879i −1.94498 + 1.24376i
\(239\) −6.78106 + 3.26559i −0.438630 + 0.211233i −0.640148 0.768252i \(-0.721127\pi\)
0.201518 + 0.979485i \(0.435413\pi\)
\(240\) 1.04578 4.58186i 0.0675048 0.295758i
\(241\) −16.0622 12.8092i −1.03466 0.825111i −0.0498486 0.998757i \(-0.515874\pi\)
−0.984808 + 0.173645i \(0.944445\pi\)
\(242\) 5.32193 6.67349i 0.342107 0.428988i
\(243\) 6.86611 + 14.2576i 0.440461 + 0.914626i
\(244\) 10.5242 2.40208i 0.673744 0.153778i
\(245\) −19.6390 + 15.6616i −1.25469 + 1.00058i
\(246\) 4.61463 + 20.2180i 0.294218 + 1.28905i
\(247\) −1.09630 0.527951i −0.0697560 0.0335927i
\(248\) 25.2093 + 20.1038i 1.60079 + 1.27659i
\(249\) 5.90077 12.2531i 0.373946 0.776508i
\(250\) −31.4119 + 25.0501i −1.98666 + 1.58431i
\(251\) 29.4464 1.85864 0.929321 0.369272i \(-0.120393\pi\)
0.929321 + 0.369272i \(0.120393\pi\)
\(252\) 24.7934i 1.56184i
\(253\) −1.41850 1.77874i −0.0891803 0.111829i
\(254\) 1.05047 0.505878i 0.0659122 0.0317416i
\(255\) 11.4063 11.5889i 0.714289 0.725726i
\(256\) 5.09434 + 22.3198i 0.318396 + 1.39499i
\(257\) 12.1208 0.756075 0.378038 0.925790i \(-0.376599\pi\)
0.378038 + 0.925790i \(0.376599\pi\)
\(258\) −4.06117 15.3815i −0.252837 0.957610i
\(259\) 23.1830 1.44052
\(260\) −9.20239 + 2.10039i −0.570708 + 0.130260i
\(261\) 5.33010 + 1.21656i 0.329925 + 0.0753032i
\(262\) 4.08767 + 8.48813i 0.252537 + 0.524398i
\(263\) −3.85815 4.83797i −0.237904 0.298322i 0.648519 0.761199i \(-0.275389\pi\)
−0.886423 + 0.462877i \(0.846817\pi\)
\(264\) −9.79322 −0.602731
\(265\) 41.7319i 2.56357i
\(266\) 11.5658 9.22342i 0.709145 0.565524i
\(267\) −4.07615 + 8.46422i −0.249457 + 0.518002i
\(268\) −3.36152 + 4.21521i −0.205337 + 0.257485i
\(269\) −1.09890 + 2.28190i −0.0670014 + 0.139130i −0.931780 0.363024i \(-0.881744\pi\)
0.864779 + 0.502153i \(0.167459\pi\)
\(270\) 10.1306 + 44.3852i 0.616531 + 2.70120i
\(271\) 5.14732 + 6.45454i 0.312678 + 0.392085i 0.913193 0.407528i \(-0.133609\pi\)
−0.600515 + 0.799613i \(0.705038\pi\)
\(272\) 1.58591 4.65042i 0.0961600 0.281973i
\(273\) 2.44440 1.17716i 0.147942 0.0712451i
\(274\) −19.1763 + 24.0463i −1.15848 + 1.45269i
\(275\) 20.1522 + 16.0708i 1.21522 + 0.969106i
\(276\) 0.674262 2.95414i 0.0405858 0.177818i
\(277\) 13.0743 + 27.1490i 0.785557 + 1.63122i 0.775559 + 0.631275i \(0.217468\pi\)
0.00999745 + 0.999950i \(0.496818\pi\)
\(278\) 0.384722 0.798883i 0.0230741 0.0479138i
\(279\) −17.3790 3.96665i −1.04046 0.237477i
\(280\) 10.8948 47.7333i 0.651089 2.85261i
\(281\) −18.3736 8.84826i −1.09608 0.527843i −0.203654 0.979043i \(-0.565282\pi\)
−0.892423 + 0.451200i \(0.850996\pi\)
\(282\) −6.33347 13.1516i −0.377153 0.783165i
\(283\) 32.2563 + 7.36229i 1.91744 + 0.437643i 0.999127 + 0.0417812i \(0.0133032\pi\)
0.918310 + 0.395861i \(0.129554\pi\)
\(284\) 14.7961 + 11.7995i 0.877990 + 0.700173i
\(285\) −4.21095 + 5.28037i −0.249435 + 0.312782i
\(286\) 1.95888 + 4.06766i 0.115831 + 0.240526i
\(287\) 7.01364 + 30.7288i 0.414002 + 1.81386i
\(288\) −5.02562 6.30192i −0.296137 0.371344i
\(289\) 13.1211 10.8091i 0.771830 0.635829i
\(290\) 22.7986 + 10.9792i 1.33878 + 0.644722i
\(291\) −3.57758 + 4.48614i −0.209721 + 0.262982i
\(292\) 3.97873 8.26191i 0.232837 0.483492i
\(293\) −0.946434 1.18679i −0.0552913 0.0693331i 0.753417 0.657543i \(-0.228404\pi\)
−0.808708 + 0.588210i \(0.799833\pi\)
\(294\) 16.0019i 0.933249i
\(295\) 28.7955i 1.67654i
\(296\) −17.1392 + 13.6681i −0.996196 + 0.794440i
\(297\) 12.4698 6.00513i 0.723570 0.348453i
\(298\) −11.6698 + 51.1286i −0.676011 + 2.96180i
\(299\) −0.581056 + 0.132622i −0.0336033 + 0.00766974i
\(300\) 34.3294i 1.98201i
\(301\) −6.17244 23.3779i −0.355774 1.34748i
\(302\) 7.76938 0.447077
\(303\) 16.5296 3.77278i 0.949603 0.216741i
\(304\) −0.454118 + 1.98962i −0.0260454 + 0.114112i
\(305\) −10.6181 + 5.11339i −0.607988 + 0.292792i
\(306\) 2.23156 + 18.4850i 0.127570 + 1.05672i
\(307\) 19.0463 1.08703 0.543515 0.839400i \(-0.317093\pi\)
0.543515 + 0.839400i \(0.317093\pi\)
\(308\) −34.8862 −1.98783
\(309\) −5.64500 + 4.50173i −0.321133 + 0.256095i
\(310\) −74.3358 35.7982i −4.22199 2.03320i
\(311\) 14.8183 + 11.8172i 0.840267 + 0.670090i 0.945951 0.324310i \(-0.105132\pi\)
−0.105685 + 0.994400i \(0.533703\pi\)
\(312\) −1.11313 + 2.31143i −0.0630183 + 0.130859i
\(313\) −2.92121 + 0.666747i −0.165116 + 0.0376868i −0.304280 0.952583i \(-0.598416\pi\)
0.139163 + 0.990269i \(0.455559\pi\)
\(314\) −16.7045 20.9468i −0.942689 1.18209i
\(315\) 6.02316 + 26.3892i 0.339367 + 1.48686i
\(316\) −7.44529 15.4603i −0.418830 0.869710i
\(317\) −6.88338 5.48932i −0.386609 0.308311i 0.410827 0.911713i \(-0.365240\pi\)
−0.797437 + 0.603402i \(0.793811\pi\)
\(318\) 20.7848 + 16.5753i 1.16555 + 0.929499i
\(319\) 1.71179 7.49986i 0.0958421 0.419912i
\(320\) −20.1252 41.7905i −1.12504 2.33616i
\(321\) 10.9698 + 5.28276i 0.612273 + 0.294855i
\(322\) 1.61235 7.06416i 0.0898526 0.393670i
\(323\) −4.95305 + 5.03235i −0.275595 + 0.280007i
\(324\) −1.56654 0.754406i −0.0870300 0.0419114i
\(325\) 6.08364 2.92973i 0.337460 0.162512i
\(326\) 6.15199 + 1.40415i 0.340727 + 0.0777688i
\(327\) 5.67062 7.11073i 0.313586 0.393224i
\(328\) −23.3020 18.5828i −1.28664 1.02606i
\(329\) −9.62604 19.9887i −0.530701 1.10201i
\(330\) 24.4308 5.57618i 1.34487 0.306958i
\(331\) −7.71076 9.66899i −0.423822 0.531456i 0.523378 0.852101i \(-0.324672\pi\)
−0.947199 + 0.320645i \(0.896100\pi\)
\(332\) 10.1940 + 44.6627i 0.559466 + 2.45118i
\(333\) 5.25843 10.9192i 0.288160 0.598371i
\(334\) 0.355335 + 0.283370i 0.0194431 + 0.0155053i
\(335\) 2.55386 5.30315i 0.139532 0.289742i
\(336\) −2.83707 3.55757i −0.154775 0.194081i
\(337\) 10.6467i 0.579964i 0.957032 + 0.289982i \(0.0936494\pi\)
−0.957032 + 0.289982i \(0.906351\pi\)
\(338\) −29.2726 −1.59222
\(339\) 5.02335 + 6.29908i 0.272831 + 0.342119i
\(340\) −5.70025 + 54.4763i −0.309139 + 2.95439i
\(341\) −5.58138 + 24.4536i −0.302249 + 1.32424i
\(342\) −1.72086 7.53960i −0.0930537 0.407695i
\(343\) 1.49005i 0.0804553i
\(344\) 18.3462 + 13.6442i 0.989163 + 0.735644i
\(345\) 3.30808i 0.178101i
\(346\) −15.6689 + 3.57633i −0.842367 + 0.192265i
\(347\) −25.4072 5.79903i −1.36393 0.311308i −0.522945 0.852367i \(-0.675167\pi\)
−0.840985 + 0.541058i \(0.818024\pi\)
\(348\) 9.23100 4.44541i 0.494833 0.238299i
\(349\) −3.19805 4.01023i −0.171188 0.214663i 0.688835 0.724918i \(-0.258122\pi\)
−0.860023 + 0.510255i \(0.829551\pi\)
\(350\) 82.0911i 4.38796i
\(351\) 3.62572i 0.193527i
\(352\) −8.86729 + 7.07143i −0.472628 + 0.376909i
\(353\) −30.2375 14.5616i −1.60938 0.775037i −0.609539 0.792756i \(-0.708645\pi\)
−0.999843 + 0.0177190i \(0.994360\pi\)
\(354\) −14.3418 11.4372i −0.762256 0.607879i
\(355\) −18.6150 8.96452i −0.987982 0.475787i
\(356\) −7.04181 30.8522i −0.373215 1.63516i
\(357\) −1.88693 15.6302i −0.0998667 0.827238i
\(358\) −11.9314 52.2748i −0.630593 2.76281i
\(359\) −8.49694 + 4.09191i −0.448452 + 0.215963i −0.644458 0.764640i \(-0.722917\pi\)
0.196006 + 0.980603i \(0.437203\pi\)
\(360\) −20.0113 15.9585i −1.05469 0.841085i
\(361\) −10.0177 + 12.5619i −0.527250 + 0.661151i
\(362\) 48.7714 + 11.1318i 2.56337 + 0.585072i
\(363\) 1.63709 + 3.39945i 0.0859250 + 0.178425i
\(364\) −3.96527 + 8.23396i −0.207836 + 0.431577i
\(365\) −2.22772 + 9.76026i −0.116604 + 0.510875i
\(366\) −1.67059 + 7.31935i −0.0873233 + 0.382588i
\(367\) −9.71220 + 20.1676i −0.506973 + 1.05274i 0.477732 + 0.878506i \(0.341459\pi\)
−0.984704 + 0.174234i \(0.944255\pi\)
\(368\) 0.433707 + 0.900601i 0.0226085 + 0.0469471i
\(369\) 16.0642 + 3.66654i 0.836267 + 0.190873i
\(370\) 34.9742 43.8562i 1.81822 2.27998i
\(371\) 31.5902 + 25.1923i 1.64008 + 1.30792i
\(372\) −30.0981 + 14.4945i −1.56051 + 0.751504i
\(373\) −5.16395 22.6247i −0.267379 1.17146i −0.913050 0.407849i \(-0.866279\pi\)
0.645670 0.763616i \(-0.276578\pi\)
\(374\) 26.0098 3.13998i 1.34493 0.162365i
\(375\) −3.95194 17.3146i −0.204077 0.894121i
\(376\) 18.9013 + 9.10240i 0.974762 + 0.469421i
\(377\) −1.57558 1.25648i −0.0811463 0.0647120i
\(378\) 39.7143 + 19.1254i 2.04268 + 0.983704i
\(379\) −8.68538 + 6.92636i −0.446138 + 0.355783i −0.820643 0.571442i \(-0.806384\pi\)
0.374505 + 0.927225i \(0.377813\pi\)
\(380\) 22.7503i 1.16707i
\(381\) 0.515385i 0.0264040i
\(382\) −31.2595 39.1982i −1.59937 2.00555i
\(383\) −7.41320 + 3.57001i −0.378797 + 0.182419i −0.613587 0.789627i \(-0.710274\pi\)
0.234790 + 0.972046i \(0.424560\pi\)
\(384\) −20.3639 4.64793i −1.03919 0.237189i
\(385\) 37.1317 8.47506i 1.89241 0.431929i
\(386\) 57.3218i 2.91760i
\(387\) −12.4111 2.39539i −0.630890 0.121765i
\(388\) 19.3284i 0.981252i
\(389\) 2.53412 + 11.1027i 0.128485 + 0.562929i 0.997657 + 0.0684190i \(0.0217955\pi\)
−0.869172 + 0.494510i \(0.835347\pi\)
\(390\) 1.46077 6.40005i 0.0739690 0.324079i
\(391\) −0.359924 + 3.43973i −0.0182021 + 0.173955i
\(392\) −14.3389 17.9804i −0.724222 0.908146i
\(393\) −4.16449 −0.210071
\(394\) 33.0268i 1.66387i
\(395\) 11.6803 + 14.6467i 0.587702 + 0.736955i
\(396\) −7.91298 + 16.4315i −0.397642 + 0.825713i
\(397\) 7.12618 + 5.68294i 0.357652 + 0.285218i 0.785788 0.618496i \(-0.212258\pi\)
−0.428135 + 0.903715i \(0.640829\pi\)
\(398\) −14.3865 + 29.8738i −0.721128 + 1.49744i
\(399\) 1.45510 + 6.37521i 0.0728461 + 0.319159i
\(400\) −7.06091 8.85410i −0.353045 0.442705i
\(401\) −1.86183 + 0.424950i −0.0929752 + 0.0212210i −0.268755 0.963208i \(-0.586612\pi\)
0.175780 + 0.984429i \(0.443755\pi\)
\(402\) −1.62691 3.37830i −0.0811427 0.168494i
\(403\) 5.13724 + 4.09681i 0.255904 + 0.204077i
\(404\) −35.6087 + 44.6520i −1.77160 + 2.22152i
\(405\) 1.85064 + 0.422397i 0.0919591 + 0.0209891i
\(406\) 22.0739 10.6302i 1.09551 0.527569i
\(407\) −15.3642 7.39902i −0.761576 0.366756i
\(408\) 10.6102 + 10.4429i 0.525281 + 0.517003i
\(409\) −7.75124 + 33.9604i −0.383274 + 1.67923i 0.303871 + 0.952713i \(0.401721\pi\)
−0.687145 + 0.726520i \(0.741136\pi\)
\(410\) 68.7117 + 33.0898i 3.39343 + 1.63419i
\(411\) −5.89886 12.2491i −0.290970 0.604204i
\(412\) 5.41200 23.7115i 0.266630 1.16818i
\(413\) −21.7976 17.3830i −1.07259 0.855362i
\(414\) −2.96152 2.36173i −0.145551 0.116073i
\(415\) −21.7002 45.0609i −1.06522 2.21195i
\(416\) 0.661141 + 2.89665i 0.0324151 + 0.142020i
\(417\) 0.244378 + 0.306440i 0.0119672 + 0.0150064i
\(418\) −10.6088 + 2.42139i −0.518893 + 0.118434i
\(419\) −14.6078 + 30.3335i −0.713639 + 1.48189i 0.155770 + 0.987793i \(0.450214\pi\)
−0.869409 + 0.494093i \(0.835500\pi\)
\(420\) 39.6591 + 31.6271i 1.93517 + 1.54324i
\(421\) −5.70641 2.74806i −0.278113 0.133932i 0.289628 0.957139i \(-0.406468\pi\)
−0.567741 + 0.823207i \(0.692183\pi\)
\(422\) −19.1170 + 15.2453i −0.930603 + 0.742131i
\(423\) −11.5981 −0.563920
\(424\) −38.2074 −1.85551
\(425\) −4.69619 38.9006i −0.227799 1.88695i
\(426\) −11.8585 + 5.71073i −0.574544 + 0.276686i
\(427\) −2.53908 + 11.1245i −0.122875 + 0.538350i
\(428\) −39.9850 + 9.12631i −1.93275 + 0.441137i
\(429\) −1.99569 −0.0963530
\(430\) −53.5367 23.5915i −2.58177 1.13768i
\(431\) 22.5091i 1.08422i 0.840306 + 0.542112i \(0.182375\pi\)
−0.840306 + 0.542112i \(0.817625\pi\)
\(432\) −5.92849 + 1.35314i −0.285235 + 0.0651030i
\(433\) −7.24633 + 31.7482i −0.348236 + 1.52572i 0.432946 + 0.901420i \(0.357474\pi\)
−0.781182 + 0.624303i \(0.785383\pi\)
\(434\) −71.9729 + 34.6603i −3.45481 + 1.66375i
\(435\) −8.74521 + 6.97407i −0.419301 + 0.334381i
\(436\) 30.6364i 1.46722i
\(437\) 1.43650i 0.0687169i
\(438\) 3.97633 + 4.98617i 0.189997 + 0.238248i
\(439\) 7.81937 16.2371i 0.373198 0.774954i −0.626793 0.779186i \(-0.715633\pi\)
0.999991 + 0.00423168i \(0.00134699\pi\)
\(440\) −22.4548 + 28.1574i −1.07049 + 1.34235i
\(441\) 11.4551 + 5.51650i 0.545483 + 0.262691i
\(442\) 2.21524 6.49582i 0.105368 0.308975i
\(443\) −13.4088 16.8141i −0.637071 0.798861i 0.353563 0.935411i \(-0.384970\pi\)
−0.990633 + 0.136550i \(0.956399\pi\)
\(444\) −5.05393 22.1427i −0.239849 1.05085i
\(445\) 14.9901 + 31.1273i 0.710600 + 1.47558i
\(446\) 8.82783 11.0697i 0.418010 0.524168i
\(447\) −18.1244 14.4537i −0.857254 0.683637i
\(448\) −43.7836 9.99332i −2.06858 0.472140i
\(449\) 3.92886 + 8.15835i 0.185414 + 0.385017i 0.972869 0.231355i \(-0.0743160\pi\)
−0.787455 + 0.616372i \(0.788602\pi\)
\(450\) 38.6651 + 18.6201i 1.82269 + 0.877762i
\(451\) 5.15911 22.6035i 0.242933 1.06436i
\(452\) −26.4590 6.03909i −1.24453 0.284055i
\(453\) −1.49011 + 3.09425i −0.0700115 + 0.145380i
\(454\) 19.0656 + 39.5901i 0.894792 + 1.85806i
\(455\) 2.22018 9.72724i 0.104084 0.456020i
\(456\) −4.83440 3.85531i −0.226392 0.180541i
\(457\) −4.63555 + 5.81279i −0.216842 + 0.271911i −0.878341 0.478035i \(-0.841349\pi\)
0.661499 + 0.749946i \(0.269921\pi\)
\(458\) 57.7325 27.8025i 2.69766 1.29913i
\(459\) −19.9135 6.79102i −0.929484 0.316977i
\(460\) −6.94771 8.71216i −0.323939 0.406206i
\(461\) 2.80178 + 12.2754i 0.130492 + 0.571722i 0.997323 + 0.0731206i \(0.0232958\pi\)
−0.866831 + 0.498602i \(0.833847\pi\)
\(462\) 10.5271 21.8598i 0.489766 1.01701i
\(463\) 0.989533 1.24083i 0.0459875 0.0576665i −0.758306 0.651899i \(-0.773973\pi\)
0.804293 + 0.594232i \(0.202544\pi\)
\(464\) −1.46648 + 3.04518i −0.0680798 + 0.141369i
\(465\) 28.5142 22.7393i 1.32231 1.05451i
\(466\) 66.9081i 3.09946i
\(467\) −30.5790 −1.41503 −0.707515 0.706699i \(-0.750184\pi\)
−0.707515 + 0.706699i \(0.750184\pi\)
\(468\) 2.97880 + 3.73530i 0.137695 + 0.172664i
\(469\) −2.47268 5.13458i −0.114178 0.237093i
\(470\) −52.3354 11.9452i −2.41405 0.550991i
\(471\) 11.5461 2.63532i 0.532017 0.121429i
\(472\) 26.3636 1.21348
\(473\) −3.37051 + 17.4633i −0.154976 + 0.802965i
\(474\) 11.9341 0.548153
\(475\) 3.62146 + 15.8666i 0.166164 + 0.728012i
\(476\) 37.7964 + 37.2007i 1.73239 + 1.70509i
\(477\) 19.0310 9.16486i 0.871371 0.419630i
\(478\) 10.9935 + 13.7854i 0.502832 + 0.630531i
\(479\) 18.4208i 0.841669i −0.907137 0.420835i \(-0.861737\pi\)
0.907137 0.420835i \(-0.138263\pi\)
\(480\) 16.4913 0.752720
\(481\) −3.49268 + 2.78532i −0.159253 + 0.127000i
\(482\) −20.8826 + 43.3631i −0.951176 + 1.97514i
\(483\) 2.50415 + 1.99699i 0.113943 + 0.0908663i
\(484\) −11.4511 5.51454i −0.520502 0.250661i
\(485\) 4.69554 + 20.5725i 0.213213 + 0.934149i
\(486\) 28.9847 23.1146i 1.31477 1.04850i
\(487\) −39.8214 + 9.08897i −1.80448 + 0.411861i −0.986550 0.163459i \(-0.947735\pi\)
−0.817929 + 0.575320i \(0.804878\pi\)
\(488\) −4.68153 9.72129i −0.211923 0.440062i
\(489\) −1.73913 + 2.18080i −0.0786461 + 0.0986191i
\(490\) 46.0086 + 36.6906i 2.07846 + 1.65751i
\(491\) 4.06720 17.8196i 0.183550 0.804186i −0.796372 0.604807i \(-0.793250\pi\)
0.979922 0.199379i \(-0.0638925\pi\)
\(492\) 27.8209 13.3979i 1.25426 0.604022i
\(493\) −9.85203 + 6.30013i −0.443713 + 0.283743i
\(494\) −0.634322 + 2.77915i −0.0285395 + 0.125040i
\(495\) 4.43053 19.4114i 0.199138 0.872479i
\(496\) 4.78153 9.92896i 0.214697 0.445823i
\(497\) −18.0233 + 8.67956i −0.808455 + 0.389332i
\(498\) −31.0619 7.08967i −1.39191 0.317695i
\(499\) −4.02107 3.20670i −0.180008 0.143551i 0.529341 0.848409i \(-0.322439\pi\)
−0.709349 + 0.704858i \(0.751011\pi\)
\(500\) 46.7724 + 37.2997i 2.09172 + 1.66809i
\(501\) −0.181006 + 0.0871680i −0.00808676 + 0.00389438i
\(502\) −15.3505 67.2550i −0.685127 3.00174i
\(503\) −18.0168 + 14.3679i −0.803328 + 0.640632i −0.936582 0.350450i \(-0.886029\pi\)
0.133254 + 0.991082i \(0.457457\pi\)
\(504\) −24.1605 + 5.51447i −1.07619 + 0.245634i
\(505\) 27.0532 56.1766i 1.20385 2.49983i
\(506\) −3.32314 + 4.16708i −0.147732 + 0.185249i
\(507\) 5.61427 11.6581i 0.249338 0.517757i
\(508\) −1.08242 1.35732i −0.0480248 0.0602212i
\(509\) 12.1391 0.538055 0.269027 0.963133i \(-0.413298\pi\)
0.269027 + 0.963133i \(0.413298\pi\)
\(510\) −32.4149 20.0104i −1.43536 0.886073i
\(511\) 6.04351 + 7.57832i 0.267349 + 0.335245i
\(512\) 11.9767 5.76766i 0.529299 0.254897i
\(513\) 8.51973 + 1.94457i 0.376155 + 0.0858550i
\(514\) −6.31861 27.6837i −0.278702 1.22107i
\(515\) 26.5525i 1.17004i
\(516\) −20.9833 + 10.9919i −0.923736 + 0.483891i
\(517\) 16.3195i 0.717729i
\(518\) −12.0854 52.9494i −0.531000 2.32646i
\(519\) 1.58087 6.92626i 0.0693926 0.304029i
\(520\) 4.09354 + 8.50032i 0.179514 + 0.372764i
\(521\) −26.9710 + 21.5087i −1.18162 + 0.942312i −0.999163 0.0409010i \(-0.986977\pi\)
−0.182459 + 0.983213i \(0.558406\pi\)
\(522\) 12.8080i 0.560592i
\(523\) 23.1968 1.01433 0.507163 0.861850i \(-0.330694\pi\)
0.507163 + 0.861850i \(0.330694\pi\)
\(524\) 10.9676 8.74636i 0.479121 0.382086i
\(525\) −32.6938 15.7445i −1.42687 0.687146i
\(526\) −9.03854 + 11.3340i −0.394099 + 0.494185i
\(527\) 32.1230 20.5419i 1.39930 0.894817i
\(528\) 0.744804 + 3.26320i 0.0324134 + 0.142013i
\(529\) 13.9016 + 17.4320i 0.604416 + 0.757914i
\(530\) 95.3148 21.7550i 4.14021 0.944976i
\(531\) −13.1316 + 6.32386i −0.569864 + 0.274432i
\(532\) −17.2215 13.7337i −0.746647 0.595431i
\(533\) −4.74856 3.78685i −0.205683 0.164027i
\(534\) 21.4570 + 4.89742i 0.928535 + 0.211932i
\(535\) 40.3415 19.4275i 1.74412 0.839922i
\(536\) 4.85527 + 2.33817i 0.209716 + 0.100994i
\(537\) 23.1074 + 5.27412i 0.997158 + 0.227595i
\(538\) 5.78466 + 1.32031i 0.249395 + 0.0569227i
\(539\) 7.76215 16.1183i 0.334339 0.694263i
\(540\) 61.0761 29.4127i 2.62830 1.26572i
\(541\) 14.8038 + 3.37887i 0.636465 + 0.145269i 0.528565 0.848893i \(-0.322730\pi\)
0.107900 + 0.994162i \(0.465587\pi\)
\(542\) 12.0587 15.1211i 0.517966 0.649508i
\(543\) −13.7874 + 17.2888i −0.591672 + 0.741934i
\(544\) 17.1476 + 1.79427i 0.735196 + 0.0769289i
\(545\) −7.44264 32.6083i −0.318807 1.39679i
\(546\) −3.96288 4.96930i −0.169596 0.212666i
\(547\) −9.91902 + 2.26395i −0.424107 + 0.0967996i −0.429247 0.903187i \(-0.641221\pi\)
0.00514023 + 0.999987i \(0.498364\pi\)
\(548\) 41.2611 + 19.8703i 1.76259 + 0.848818i
\(549\) 4.66372 + 3.71919i 0.199043 + 0.158731i
\(550\) 26.2000 54.4048i 1.11717 2.31983i
\(551\) 3.79751 3.02841i 0.161779 0.129015i
\(552\) −3.02869 −0.128910
\(553\) 18.1383 0.771320
\(554\) 55.1920 44.0142i 2.34488 1.86998i
\(555\) 10.7585 + 22.3402i 0.456671 + 0.948288i
\(556\) −1.28719 0.293792i −0.0545889 0.0124596i
\(557\) −2.17010 9.50785i −0.0919502 0.402860i 0.907917 0.419150i \(-0.137672\pi\)
−0.999867 + 0.0162895i \(0.994815\pi\)
\(558\) 41.7611i 1.76789i
\(559\) 3.73866 + 2.78045i 0.158128 + 0.117601i
\(560\) −16.7338 −0.707132
\(561\) −3.73796 + 10.9609i −0.157817 + 0.462771i
\(562\) −10.6310 + 46.5775i −0.448442 + 1.96475i
\(563\) 15.7904 7.60427i 0.665488 0.320482i −0.0704657 0.997514i \(-0.522449\pi\)
0.735953 + 0.677032i \(0.236734\pi\)
\(564\) −16.9933 + 13.5517i −0.715546 + 0.570629i
\(565\) 29.6291 1.24651
\(566\) 77.5106i 3.25801i
\(567\) 1.43692 1.14591i 0.0603451 0.0481236i
\(568\) 8.20741 17.0429i 0.344375 0.715102i
\(569\) 11.1091 13.9303i 0.465716 0.583990i −0.492400 0.870369i \(-0.663880\pi\)
0.958116 + 0.286379i \(0.0924517\pi\)
\(570\) 14.2554 + 6.86505i 0.597094 + 0.287545i
\(571\) −9.82807 + 2.24319i −0.411292 + 0.0938747i −0.423160 0.906055i \(-0.639079\pi\)
0.0118683 + 0.999930i \(0.496222\pi\)
\(572\) 5.25586 4.19141i 0.219758 0.175251i
\(573\) 21.6065 4.93154i 0.902624 0.206018i
\(574\) 66.5276 32.0380i 2.77681 1.33724i
\(575\) 6.23234 + 4.97013i 0.259907 + 0.207269i
\(576\) −14.6380 + 18.3554i −0.609916 + 0.764810i
\(577\) −4.61916 + 20.2379i −0.192298 + 0.842513i 0.783071 + 0.621933i \(0.213652\pi\)
−0.975369 + 0.220580i \(0.929205\pi\)
\(578\) −31.5278 24.3335i −1.31138 1.01214i
\(579\) 22.8291 + 10.9939i 0.948745 + 0.456891i
\(580\) 8.38425 36.7338i 0.348137 1.52529i
\(581\) −47.2100 10.7754i −1.95860 0.447037i
\(582\) 12.1112 + 5.83247i 0.502027 + 0.241764i
\(583\) −12.8957 26.7781i −0.534084 1.10904i
\(584\) −8.93594 2.03957i −0.369772 0.0843980i
\(585\) −4.07797 3.25207i −0.168603 0.134457i
\(586\) −2.21722 + 2.78031i −0.0915927 + 0.114854i
\(587\) 17.9782 8.65784i 0.742039 0.357347i −0.0243675 0.999703i \(-0.507757\pi\)
0.766406 + 0.642356i \(0.222043\pi\)
\(588\) 23.2295 5.30197i 0.957967 0.218650i
\(589\) −12.3819 + 9.87427i −0.510189 + 0.406862i
\(590\) −65.7683 + 15.0112i −2.70764 + 0.618001i
\(591\) −13.1533 6.33431i −0.541056 0.260559i
\(592\) 5.85783 + 4.67146i 0.240755 + 0.191996i
\(593\) −22.2418 10.7111i −0.913360 0.439851i −0.0826643 0.996577i \(-0.526343\pi\)
−0.830696 + 0.556726i \(0.812057\pi\)
\(594\) −20.2161 25.3502i −0.829477 1.04013i
\(595\) −49.2665 30.4131i −2.01973 1.24682i
\(596\) 78.0884 3.19863
\(597\) −9.13837 11.4592i −0.374009 0.468992i
\(598\) 0.605812 + 1.25798i 0.0247735 + 0.0514427i
\(599\) −6.07583 + 26.6199i −0.248252 + 1.08766i 0.685030 + 0.728515i \(0.259789\pi\)
−0.933281 + 0.359146i \(0.883068\pi\)
\(600\) 33.4531 7.63545i 1.36572 0.311716i
\(601\) 3.73317i 0.152279i 0.997097 + 0.0761397i \(0.0242595\pi\)
−0.997097 + 0.0761397i \(0.975741\pi\)
\(602\) −50.1768 + 26.2847i −2.04505 + 1.07128i
\(603\) −2.97926 −0.121325
\(604\) −2.57426 11.2786i −0.104745 0.458919i
\(605\) 13.5278 + 3.08763i 0.549982 + 0.125530i
\(606\) −17.2339 35.7866i −0.700079 1.45373i
\(607\) −27.1584 + 21.6581i −1.10233 + 0.879076i −0.993369 0.114970i \(-0.963323\pi\)
−0.108957 + 0.994046i \(0.534751\pi\)
\(608\) −7.16114 −0.290423
\(609\) 10.8300i 0.438853i
\(610\) 17.2141 + 21.5858i 0.696978 + 0.873983i
\(611\) 3.85178 + 1.85492i 0.155826 + 0.0750419i
\(612\) 26.0947 9.36420i 1.05482 0.378525i
\(613\) 12.4011 + 5.97207i 0.500877 + 0.241210i 0.667223 0.744858i \(-0.267483\pi\)
−0.166346 + 0.986067i \(0.553197\pi\)
\(614\) −9.92889 43.5013i −0.400697 1.75557i
\(615\) −26.3568 + 21.0189i −1.06281 + 0.847563i
\(616\) 7.75929 + 33.9957i 0.312631 + 1.36972i
\(617\) 4.36537 + 9.06479i 0.175743 + 0.364935i 0.970170 0.242425i \(-0.0779429\pi\)
−0.794427 + 0.607360i \(0.792229\pi\)
\(618\) 13.2246 + 10.5463i 0.531972 + 0.424233i
\(619\) 28.2607 + 22.5371i 1.13589 + 0.905844i 0.996433 0.0843833i \(-0.0268920\pi\)
0.139460 + 0.990228i \(0.455463\pi\)
\(620\) −27.3372 + 119.772i −1.09789 + 4.81017i
\(621\) 3.85646 1.85717i 0.154754 0.0745257i
\(622\) 19.2653 40.0049i 0.772470 1.60405i
\(623\) 32.6118 + 7.44344i 1.30657 + 0.298215i
\(624\) 0.854849 + 0.195114i 0.0342213 + 0.00781080i
\(625\) −16.0335 7.72132i −0.641340 0.308853i
\(626\) 3.04567 + 6.32440i 0.121729 + 0.252774i
\(627\) 1.07034 4.68949i 0.0427455 0.187280i
\(628\) −24.8730 + 31.1898i −0.992542 + 1.24461i
\(629\) 8.75597 + 24.3998i 0.349124 + 0.972883i
\(630\) 57.1325 27.5135i 2.27621 1.09617i
\(631\) 4.43379 + 19.4257i 0.176507 + 0.773326i 0.983226 + 0.182391i \(0.0583837\pi\)
−0.806720 + 0.590934i \(0.798759\pi\)
\(632\) −13.4097 + 10.6939i −0.533409 + 0.425379i
\(633\) −2.40512 10.5375i −0.0955951 0.418829i
\(634\) −8.94914 + 18.5831i −0.355416 + 0.738029i
\(635\) 1.48183 + 1.18172i 0.0588048 + 0.0468953i
\(636\) 17.1752 35.6647i 0.681041 1.41420i
\(637\) −2.92202 3.66410i −0.115775 0.145177i
\(638\) −18.0219 −0.713493
\(639\) 10.4577i 0.413702i
\(640\) −60.0561 + 47.8931i −2.37393 + 1.89314i
\(641\) −15.6463 32.4899i −0.617992 1.28327i −0.941489 0.337045i \(-0.890573\pi\)
0.323496 0.946229i \(-0.395142\pi\)
\(642\) 6.34714 27.8086i 0.250502 1.09752i
\(643\) −20.0319 + 4.57214i −0.789980 + 0.180308i −0.598430 0.801175i \(-0.704209\pi\)
−0.191550 + 0.981483i \(0.561351\pi\)
\(644\) −10.7891 −0.425148
\(645\) 19.6635 16.7969i 0.774251 0.661379i
\(646\) 14.0758 + 8.68926i 0.553805 + 0.341874i
\(647\) −9.95569 43.6187i −0.391399 1.71483i −0.659730 0.751503i \(-0.729329\pi\)
0.268331 0.963327i \(-0.413528\pi\)
\(648\) −0.386723 + 1.69434i −0.0151919 + 0.0665601i
\(649\) 8.89816 + 18.4772i 0.349284 + 0.725295i
\(650\) −9.86285 12.3676i −0.386853 0.485098i
\(651\) 35.3117i 1.38397i
\(652\) 9.39591i 0.367972i
\(653\) −36.4612 + 29.0768i −1.42684 + 1.13786i −0.458359 + 0.888767i \(0.651563\pi\)
−0.968478 + 0.249098i \(0.919866\pi\)
\(654\) −19.1969 9.24472i −0.750657 0.361497i
\(655\) −9.54873 + 11.9737i −0.373100 + 0.467852i
\(656\) −4.41977 + 9.17775i −0.172563 + 0.358331i
\(657\) 4.94021 1.12757i 0.192736 0.0439907i
\(658\) −40.6356 + 32.4058i −1.58414 + 1.26331i
\(659\) −7.05347 30.9033i −0.274764 1.20382i −0.904317 0.426862i \(-0.859619\pi\)
0.629552 0.776958i \(-0.283238\pi\)
\(660\) −16.1895 33.6179i −0.630177 1.30858i
\(661\) −18.3825 + 23.0509i −0.714996 + 0.896577i −0.998043 0.0625292i \(-0.980083\pi\)
0.283047 + 0.959106i \(0.408655\pi\)
\(662\) −18.0641 + 22.6517i −0.702081 + 0.880382i
\(663\) 2.16217 + 2.12810i 0.0839718 + 0.0826485i
\(664\) 41.2552 19.8675i 1.60101 0.771007i
\(665\) 21.6664 + 10.4340i 0.840186 + 0.404612i
\(666\) −27.6805 6.31790i −1.07260 0.244814i
\(667\) 0.529397 2.31944i 0.0204983 0.0898091i
\(668\) 0.293625 0.609719i 0.0113607 0.0235908i
\(669\) 2.71554 + 5.63889i 0.104989 + 0.218012i
\(670\) −13.4436 3.06842i −0.519372 0.118543i
\(671\) 5.23319 6.56222i 0.202025 0.253332i
\(672\) 9.95530 12.4836i 0.384034 0.481564i
\(673\) −0.448265 0.930832i −0.0172793 0.0358809i 0.892151 0.451738i \(-0.149196\pi\)
−0.909430 + 0.415857i \(0.863482\pi\)
\(674\) 24.3169 5.55017i 0.936651 0.213785i
\(675\) −37.9140 + 30.2354i −1.45931 + 1.16376i
\(676\) 9.69901 + 42.4941i 0.373039 + 1.63439i
\(677\) 2.39897 4.98151i 0.0921999 0.191455i −0.849769 0.527155i \(-0.823259\pi\)
0.941969 + 0.335700i \(0.108973\pi\)
\(678\) 11.7683 14.7569i 0.451958 0.566737i
\(679\) 18.4075 + 8.86459i 0.706416 + 0.340192i
\(680\) 54.3535 6.56172i 2.08436 0.251631i
\(681\) −19.4239 −0.744324
\(682\) 58.7612 2.25008
\(683\) 6.70020 5.34323i 0.256376 0.204453i −0.486864 0.873478i \(-0.661859\pi\)
0.743240 + 0.669025i \(0.233288\pi\)
\(684\) −10.3748 + 4.99626i −0.396692 + 0.191037i
\(685\) −48.7441 11.1255i −1.86242 0.425085i
\(686\) −3.40325 + 0.776769i −0.129937 + 0.0296572i
\(687\) 28.3250i 1.08067i
\(688\) 3.15109 7.15084i 0.120134 0.272623i
\(689\) −7.78603 −0.296624
\(690\) 7.55558 1.72451i 0.287636 0.0656510i
\(691\) −10.7093 2.44432i −0.407400 0.0929863i 0.0139098 0.999903i \(-0.495572\pi\)
−0.421309 + 0.906917i \(0.638429\pi\)
\(692\) 10.3833 + 21.5612i 0.394714 + 0.819633i
\(693\) −12.0195 15.0719i −0.456582 0.572536i
\(694\) 61.0525i 2.31752i
\(695\) 1.44141 0.0546758
\(696\) −6.38507 8.00662i −0.242025 0.303490i
\(697\) −29.6926 + 18.9877i −1.12469 + 0.719210i
\(698\) −7.49212 + 9.39482i −0.283581 + 0.355599i
\(699\) 26.6470 + 12.8325i 1.00788 + 0.485370i
\(700\) 119.169 27.1996i 4.50418 1.02805i
\(701\) −16.3849 20.5460i −0.618847 0.776010i 0.369334 0.929297i \(-0.379586\pi\)
−0.988182 + 0.153286i \(0.951014\pi\)
\(702\) −8.28106 + 1.89010i −0.312549 + 0.0713372i
\(703\) −4.67174 9.70096i −0.176198 0.365879i
\(704\) 25.8275 + 20.5968i 0.973412 + 0.776270i
\(705\) 14.7949 18.5522i 0.557207 0.698716i
\(706\) −17.4955 + 76.6529i −0.658452 + 2.88487i
\(707\) −26.1933 54.3909i −0.985099 2.04558i
\(708\) −11.8511 + 24.6091i −0.445391 + 0.924865i
\(709\) 16.3891 + 3.74071i 0.615506 + 0.140485i 0.518896 0.854837i \(-0.326343\pi\)
0.0966096 + 0.995322i \(0.469200\pi\)
\(710\) −10.7707 + 47.1895i −0.404217 + 1.77099i
\(711\) 4.11419 8.54319i 0.154294 0.320395i
\(712\) −28.4984 + 13.7241i −1.06802 + 0.514333i
\(713\) −1.72612 + 7.56264i −0.0646438 + 0.283223i
\(714\) −34.7154 + 12.4578i −1.29919 + 0.466220i
\(715\) −4.57591 + 5.73802i −0.171130 + 0.214590i
\(716\) −71.9325 + 34.6409i −2.68824 + 1.29459i
\(717\) −7.59869 + 1.73435i −0.283778 + 0.0647705i
\(718\) 13.7753 + 17.2737i 0.514090 + 0.644649i
\(719\) 23.7150 5.41280i 0.884421 0.201863i 0.243897 0.969801i \(-0.421574\pi\)
0.640524 + 0.767938i \(0.278717\pi\)
\(720\) −3.79561 + 7.88166i −0.141454 + 0.293732i
\(721\) 20.0997 + 16.0290i 0.748551 + 0.596950i
\(722\) 33.9133 + 16.3318i 1.26212 + 0.607806i
\(723\) −13.2648 16.6335i −0.493322 0.618606i
\(724\) 74.4883i 2.76834i
\(725\) 26.9537i 1.00104i
\(726\) 6.91085 5.51122i 0.256486 0.204541i
\(727\) −30.5178 + 14.6966i −1.13184 + 0.545067i −0.903532 0.428521i \(-0.859035\pi\)
−0.228311 + 0.973588i \(0.573320\pi\)
\(728\) 8.90572 + 2.03267i 0.330068 + 0.0753358i
\(729\) 3.31384 + 14.5189i 0.122735 + 0.537737i
\(730\) 23.4535 0.868054
\(731\) 22.2736 15.3260i 0.823820 0.566852i
\(732\) 11.1788 0.413181
\(733\) −2.17142 9.51360i −0.0802031 0.351393i 0.918864 0.394574i \(-0.129108\pi\)
−0.999067 + 0.0431813i \(0.986251\pi\)
\(734\) 51.1253 + 11.6690i 1.88707 + 0.430711i
\(735\) −23.4366 + 11.2865i −0.864472 + 0.416308i
\(736\) −2.74234 + 2.18694i −0.101084 + 0.0806117i
\(737\) 4.19205i 0.154416i
\(738\) 38.6016i 1.42094i
\(739\) 9.82341 + 12.3182i 0.361360 + 0.453131i 0.928964 0.370171i \(-0.120701\pi\)
−0.567604 + 0.823302i \(0.692129\pi\)
\(740\) −75.2529 36.2399i −2.76635 1.33220i
\(741\) −0.985171 0.785647i −0.0361911 0.0288615i
\(742\) 41.0707 85.2841i 1.50775 3.13088i
\(743\) 24.4442 5.57922i 0.896770 0.204682i 0.250795 0.968040i \(-0.419308\pi\)
0.645975 + 0.763359i \(0.276451\pi\)
\(744\) 20.8188 + 26.1059i 0.763254 + 0.957090i
\(745\) −83.1146 + 18.9704i −3.04508 + 0.695020i
\(746\) −48.9824 + 23.5887i −1.79337 + 0.863643i
\(747\) −15.7835 + 19.7919i −0.577489 + 0.724148i
\(748\) −13.1762 36.7173i −0.481768 1.34252i
\(749\) 9.64682 42.2655i 0.352487 1.54435i
\(750\) −37.4860 + 18.0523i −1.36879 + 0.659176i
\(751\) −21.1487 + 43.9157i −0.771726 + 1.60251i 0.0261313 + 0.999659i \(0.491681\pi\)
−0.797857 + 0.602847i \(0.794033\pi\)
\(752\) 1.59551 6.99038i 0.0581823 0.254913i
\(753\) 29.7292 + 6.78550i 1.08339 + 0.247277i
\(754\) −2.04842 + 4.25359i −0.0745990 + 0.154906i
\(755\) 5.47991 + 11.3791i 0.199434 + 0.414130i
\(756\) 14.6051 63.9889i 0.531181 2.32726i