Properties

Label 731.2.p.a.16.7
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 16.7
Character \(\chi\) = 731.16
Dual form 731.2.p.a.594.7

$q$-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} +(0.494166 - 4.09338i) 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} +(-9.60681 + 1.00523i) 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} +(-1.44217 + 4.01882i) 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} +(4.64233 + 13.6129i) 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 −0.0791021 0.996867i \(-0.525205\pi\)
−0.503793 + 0.863825i \(0.668062\pi\)
\(4\) −3.14286 + 1.51352i −1.57143 + 0.756760i
\(5\) −2.97746 + 2.37445i −1.33156 + 1.06188i −0.338917 + 0.940816i \(0.610061\pi\)
−0.992644 + 0.121068i \(0.961368\pi\)
\(6\) 2.42604i 0.990426i
\(7\) 3.68726i 1.39365i 0.717239 + 0.696827i \(0.245405\pi\)
−0.717239 + 0.696827i \(0.754595\pi\)
\(8\) 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 −0.644797 0.764354i \(-0.723058\pi\)
0.999620 + 0.0275557i \(0.00877237\pi\)
\(12\) 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
\(17\) 0.494166 4.09338i 0.119853 0.992792i
\(18\) −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 −0.859573 0.511013i \(-0.829270\pi\)
0.935461 + 0.353430i \(0.114985\pi\)
\(24\) −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 0.0420709 0.999115i \(-0.486604\pi\)
0.471404 + 0.881917i \(0.343747\pi\)
\(30\) −5.76050 7.22343i −1.05172 1.31881i
\(31\) −9.01589 + 2.05782i −1.61930 + 0.369595i −0.933608 0.358296i \(-0.883358\pi\)
−0.685693 + 0.727891i \(0.740501\pi\)
\(32\) 3.76749 + 1.81433i 0.666005 + 0.320731i
\(33\) −1.75123 + 2.19597i −0.304850 + 0.382269i
\(34\) −9.60681 + 1.00523i −1.64755 + 0.172395i
\(35\) −8.75520 10.9787i −1.47990 1.85574i
\(36\) 6.72406 1.12068
\(37\) 6.28732i 1.03363i −0.856097 0.516815i \(-0.827118\pi\)
0.856097 0.516815i \(-0.172882\pi\)
\(38\) 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 0.485065 0.874478i \(-0.338796\pi\)
0.816450 + 0.577416i \(0.195939\pi\)
\(42\) −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
\(51\) −1.44217 + 4.01882i −0.201945 + 0.562748i
\(52\) −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 0.411254 0.911521i \(-0.365091\pi\)
−0.0249671 + 0.999688i \(0.507948\pi\)
\(62\) 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 \(0.327046\pi\)
\(68\) 4.64233 + 13.6129i 0.562965 + 1.65080i
\(69\) −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 0.992685 0.120736i \(-0.0385256\pi\)
−0.713324 + 0.700834i \(0.752811\pi\)
\(72\) −1.49555 6.55242i −0.176252 0.772210i
\(73\) 2.05527 1.63902i 0.240551 0.191833i −0.495792 0.868441i \(-0.665122\pi\)
0.736343 + 0.676608i \(0.236551\pi\)
\(74\) −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 \(-0.910751\pi\)
0.960949 0.276726i \(-0.0892494\pi\)
\(80\) 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 −0.742538 0.669804i \(-0.766378\pi\)
0.986639 + 0.162924i \(0.0520924\pi\)
\(98\) 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 \(0.0541226\pi\)
\(102\) 9.93071 + 1.19887i 0.983286 + 0.118705i
\(103\) −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 −0.370971 0.928644i \(-0.620975\pi\)
−0.737157 + 0.675721i \(0.763832\pi\)
\(108\) −17.3541 3.96095i −1.66990 0.381143i
\(109\) −3.81062 + 7.91284i −0.364992 + 0.757913i −0.999892 0.0146808i \(-0.995327\pi\)
0.634901 + 0.772594i \(0.281041\pi\)
\(110\) 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 0.294134 0.955764i \(-0.404969\pi\)
−0.866350 + 0.499437i \(0.833540\pi\)
\(114\) −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
\(119\) 15.0934 + 1.82212i 1.38361 + 0.167033i
\(120\) 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 −0.0477868 0.998858i \(-0.515217\pi\)
0.390334 + 0.920673i \(0.372360\pi\)
\(132\) 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 0.610860 0.791739i \(-0.290824\pi\)
−0.635959 + 0.771723i \(0.719395\pi\)
\(140\) 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
\(153\) −4.28174 + 6.69572i −0.346158 + 0.541317i
\(154\) 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 −0.850173 0.526504i \(-0.823503\pi\)
0.941711 + 0.336422i \(0.109217\pi\)
\(164\) −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 −0.617604 0.786489i \(-0.711896\pi\)
0.629341 + 0.777129i \(0.283325\pi\)
\(168\) 11.9951 5.77654i 0.925442 0.445669i
\(169\) 2.78043 12.1819i 0.213879 0.937067i
\(170\) 26.2170 25.8039i 2.01075 1.97907i
\(171\) 3.30108 0.252440
\(172\) −17.3926 + 14.8571i −1.32618 + 1.13284i
\(173\) 6.86037i 0.521584i 0.965395 + 0.260792i \(0.0839838\pi\)
−0.965395 + 0.260792i \(0.916016\pi\)
\(174\) 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 \(-0.565345\pi\)
0.892512 0.451024i \(-0.148941\pi\)
\(182\) 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
\(187\) −9.42139 6.02474i −0.688960 0.440573i
\(188\) −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 −0.753115 0.657889i \(-0.771450\pi\)
−0.963981 + 0.265973i \(0.914307\pi\)
\(194\) −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 0.682042 0.731313i \(-0.261092\pi\)
0.297194 + 0.954817i \(0.403949\pi\)
\(198\) 9.57601 + 7.63661i 0.680537 + 0.542710i
\(199\) 11.0656 + 8.82451i 0.784418 + 0.625553i 0.931570 0.363561i \(-0.118439\pi\)
−0.147152 + 0.989114i \(0.547011\pi\)
\(200\) 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
\(204\) −1.55003 14.8133i −0.108524 1.03714i
\(205\) −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 0.996696 0.0812274i \(-0.0258840\pi\)
−0.684936 + 0.728604i \(0.740170\pi\)
\(212\) 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 0.432702 0.901537i \(-0.357560\pi\)
0.781014 + 0.624514i \(0.214703\pi\)
\(228\) −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 −0.833449 0.552596i \(-0.813637\pi\)
−0.990674 + 0.136252i \(0.956494\pi\)
\(234\) −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
\(238\) −3.70654 35.4228i −0.240260 2.29612i
\(239\) −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 0.984808 0.173645i \(-0.0555547\pi\)
0.0498486 + 0.998757i \(0.484126\pi\)
\(242\) 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
\(255\) −5.24846 15.3902i −0.328672 0.963775i
\(256\) 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 −0.864779 0.502153i \(-0.832541\pi\)
0.931780 + 0.363024i \(0.118256\pi\)
\(270\) 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 \(0.705038\pi\)
\(272\) −3.44660 3.50178i −0.208981 0.212327i
\(273\) 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 \(-0.782532\pi\)
−0.00999745 0.999950i \(-0.503182\pi\)
\(278\) −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 \(-0.986697\pi\)
−0.918310 0.395861i \(-0.870446\pi\)
\(284\) −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
\(289\) −16.5116 4.04562i −0.971271 0.237978i
\(290\) 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
\(306\) 17.5249 + 6.28891i 1.00183 + 0.359513i
\(307\) 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 0.105685 0.994400i \(-0.466297\pi\)
−0.945951 + 0.324310i \(0.894868\pi\)
\(312\) 1.11313 2.31143i 0.0630183 0.130859i
\(313\) 2.92121 0.666747i 0.165116 0.0376868i −0.139163 0.990269i \(-0.544441\pi\)
0.304280 + 0.952583i \(0.401584\pi\)
\(314\) −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 0.797437 0.603402i \(-0.206189\pi\)
−0.410827 + 0.911713i \(0.634760\pi\)
\(318\) −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
\(323\) 2.27908 + 6.68304i 0.126812 + 0.371854i
\(324\) −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 \(-0.906351\pi\)
0.957032 0.289982i \(-0.0936494\pi\)
\(338\) −29.2726 −1.59222
\(339\) 5.02335 + 6.29908i 0.272831 + 0.342119i
\(340\) −46.1453 29.5088i −2.50258 1.60034i
\(341\) −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 0.840985 0.541058i \(-0.181976\pi\)
0.522945 + 0.852367i \(0.324833\pi\)
\(348\) 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
\(357\) −14.8184 5.31767i −0.784275 0.281441i
\(358\) −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 \(-0.658541\pi\)
0.984704 0.174234i \(-0.0557449\pi\)
\(368\) −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 \(-0.276578\pi\)
\(374\) −8.84898 + 24.6590i −0.457570 + 1.27508i
\(375\) −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 −0.374505 0.927225i \(-0.622187\pi\)
0.820643 + 0.571442i \(0.193616\pi\)
\(380\) 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
\(391\) −2.91370 1.86324i −0.147352 0.0942280i
\(392\) −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 0.428135 0.903715i \(-0.359171\pi\)
−0.785788 + 0.618496i \(0.787742\pi\)
\(398\) 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 −0.175780 0.984429i \(-0.556245\pi\)
0.268755 + 0.963208i \(0.413388\pi\)
\(402\) 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
\(408\) −14.0904 + 4.80520i −0.697581 + 0.237893i
\(409\) −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 \(-0.549786\pi\)
0.869409 0.494093i \(-0.164500\pi\)
\(420\) −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
\(425\) −36.8802 13.2346i −1.78895 0.641974i
\(426\) −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 \(-0.817625\pi\)
0.840306 0.542112i \(-0.182375\pi\)
\(432\) 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 −0.999991 0.00423168i \(-0.998653\pi\)
0.626793 + 0.779186i \(0.284367\pi\)
\(440\) −22.4548 + 28.1574i −1.07049 + 1.34235i
\(441\) 11.4551 + 5.51650i 0.545483 + 0.262691i
\(442\) −4.81429 4.89138i −0.228993 0.232659i
\(443\) −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 0.787455 0.616372i \(-0.211398\pi\)
−0.972869 + 0.231355i \(0.925684\pi\)
\(450\) 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
\(459\) 14.9950 14.7586i 0.699905 0.688875i
\(460\) −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
\(476\) −50.1941 + 17.1175i −2.30064 + 0.784578i
\(477\) 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 \(0.138263\pi\)
−0.907137 + 0.420835i \(0.861737\pi\)
\(480\) 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 0.817929 0.575320i \(-0.195122\pi\)
0.986550 + 0.163459i \(0.0522651\pi\)
\(488\) 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
\(493\) −1.21700 11.6307i −0.0548111 0.523820i
\(494\) −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 0.709349 0.704858i \(-0.248989\pi\)
−0.529341 + 0.848409i \(0.677561\pi\)
\(500\) −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 −0.133254 0.991082i \(-0.542543\pi\)
0.936582 + 0.350450i \(0.113971\pi\)
\(504\) 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 0.182459 0.983213i \(-0.441594\pi\)
0.999163 + 0.0409010i \(0.0130228\pi\)
\(522\) 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
\(527\) 3.96809 + 37.9224i 0.172853 + 1.65193i
\(528\) 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 −0.107900 0.994162i \(-0.534413\pi\)
−0.528565 + 0.848893i \(0.677270\pi\)
\(542\) 12.0587 15.1211i 0.517966 0.649508i
\(543\) −13.7874 + 17.2888i −0.591672 + 0.741934i
\(544\) 9.28852 14.5252i 0.398242 0.622764i
\(545\) −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 −0.00514023 0.999987i \(-0.501636\pi\)
0.429247 + 0.903187i \(0.358779\pi\)
\(548\) 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
\(561\) 8.12356 + 8.25363i 0.342977 + 0.348468i
\(562\) −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 −0.0118683 0.999930i \(-0.503778\pi\)
0.423160 + 0.906055i \(0.360921\pi\)
\(572\) −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 \(0.929205\pi\)
\(578\) −0.632566 + 39.8211i −0.0263113 + 1.65634i
\(579\) 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 \(-0.975741\pi\)
0.997097 0.0761397i \(-0.0242595\pi\)
\(602\) 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 0.108957 0.994046i \(-0.465249\pi\)
0.993369 + 0.114970i \(0.0366773\pi\)
\(608\) −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
\(612\) 3.32280 27.5242i 0.134316 1.11260i
\(613\) 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 0.794427 0.607360i \(-0.207771\pi\)
−0.970170 + 0.242425i \(0.922057\pi\)
\(618\) −13.2246 10.5463i −0.531972 0.424233i
\(619\) −28.2607 22.5371i −1.13589 0.905844i −0.139460 0.990228i \(-0.544537\pi\)
−0.996433 + 0.0843833i \(0.973108\pi\)
\(620\) −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
\(629\) −25.7364 3.10698i −1.02618 0.123883i
\(630\) 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 \(0.109427\pi\)
−0.323496 + 0.946229i \(0.604858\pi\)
\(642\) 6.34714 27.8086i 0.250502 1.09752i
\(643\) 20.0319 4.57214i 0.789980 0.180308i 0.191550 0.981483i \(-0.438649\pi\)
0.598430 + 0.801175i \(0.295791\pi\)
\(644\) −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 \(-0.348437\pi\)
0.968478 0.249098i \(-0.0801341\pi\)
\(654\) −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
\(663\) −2.87140 + 0.979219i −0.111516 + 0.0380297i
\(664\) 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 0.909430 0.415857i \(-0.136518\pi\)
−0.892151 + 0.451738i \(0.850804\pi\)
\(674\) −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 −0.941969 0.335700i \(-0.891027\pi\)
0.849769 + 0.527155i \(0.176741\pi\)
\(678\) 11.7683 14.7569i 0.451958 0.566737i
\(679\) 18.4075 + 8.86459i 0.706416 + 0.340192i
\(680\) −18.4920 + 51.5306i −0.709136 + 1.97611i
\(681\) −19.4239 −0.744324
\(682\) 58.7612 2.25008
\(683\) −6.70020 + 5.34323i −0.256376 + 0.204453i −0.743240 0.669025i \(-0.766712\pi\)
0.486864 + 0.873478i \(0.338141\pi\)
\(684\) −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 0.421309 0.906917i \(-0.361571\pi\)
−0.0139098 + 0.999903i \(0.504428\pi\)
\(692\) −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
\(697\) −3.66788 35.0533i −0.138931 1.32774i
\(698\) −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 −0.0966096 0.995322i \(-0.530800\pi\)
−0.518896 + 0.854837i \(0.673657\pi\)
\(710\) −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
\(714\) −4.42053 + 36.6171i −0.165434 + 1.37036i
\(715\) −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 −0.640524 0.767938i \(-0.721283\pi\)
−0.243897 + 0.969801i \(0.578426\pi\)
\(720\) 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
\(731\) −3.71920 26.7800i −0.137559 0.990494i
\(732\) 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 −0.645975 0.763359i \(-0.723549\pi\)
−0.250795 + 0.968040i \(0.580692\pi\)
\(744\) 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
\(748\) 38.7287 + 4.67544i 1.41606 + 0.170951i
\(749\) 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 \(-0.508319\pi\)
0.797857 0.602847i \(-0.205967\pi\)
\(752\) 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