Properties

Label 280.2.ba.b.19.5
Level $280$
Weight $2$
Character 280.19
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.5
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.32026 - 0.506870i) q^{2} +(0.360276 + 0.624015i) q^{3} +(1.48617 + 1.33840i) q^{4} +(-1.56432 + 1.59778i) q^{5} +(-0.159362 - 1.00647i) q^{6} +(1.35637 - 2.27162i) q^{7} +(-1.28373 - 2.52033i) q^{8} +(1.24040 - 2.14844i) q^{9} +O(q^{10})\) \(q+(-1.32026 - 0.506870i) q^{2} +(0.360276 + 0.624015i) q^{3} +(1.48617 + 1.33840i) q^{4} +(-1.56432 + 1.59778i) q^{5} +(-0.159362 - 1.00647i) q^{6} +(1.35637 - 2.27162i) q^{7} +(-1.28373 - 2.52033i) q^{8} +(1.24040 - 2.14844i) q^{9} +(2.87518 - 1.31657i) q^{10} +(1.95654 + 3.38883i) q^{11} +(-0.299752 + 1.40958i) q^{12} +2.55354i q^{13} +(-2.94217 + 2.31163i) q^{14} +(-1.56063 - 0.400522i) q^{15} +(0.417377 + 3.97816i) q^{16} +(2.55984 + 4.43377i) q^{17} +(-2.72663 + 2.20778i) q^{18} +(3.25858 + 1.88134i) q^{19} +(-4.46331 + 0.280873i) q^{20} +(1.90619 + 0.0279831i) q^{21} +(-0.865446 - 5.46585i) q^{22} +(-3.50209 + 6.06580i) q^{23} +(1.11023 - 1.70908i) q^{24} +(-0.105783 - 4.99888i) q^{25} +(1.29431 - 3.37133i) q^{26} +3.94920 q^{27} +(5.05612 - 1.56065i) q^{28} -3.39188i q^{29} +(1.85742 + 1.31983i) q^{30} +(1.59267 + 2.75858i) q^{31} +(1.46537 - 5.46376i) q^{32} +(-1.40979 + 2.44183i) q^{33} +(-1.13230 - 7.15122i) q^{34} +(1.50775 + 5.72072i) q^{35} +(4.71892 - 1.53279i) q^{36} +(0.850773 - 1.47358i) q^{37} +(-3.34857 - 4.13553i) q^{38} +(-1.59345 + 0.919977i) q^{39} +(6.03509 + 1.89149i) q^{40} -3.97345i q^{41} +(-2.50248 - 1.00314i) q^{42} -0.898763i q^{43} +(-1.62786 + 7.65500i) q^{44} +(1.49234 + 5.34275i) q^{45} +(7.69824 - 6.23332i) q^{46} +(5.64460 + 3.25891i) q^{47} +(-2.33207 + 1.69369i) q^{48} +(-3.32054 - 6.16230i) q^{49} +(-2.39412 + 6.65343i) q^{50} +(-1.84449 + 3.19476i) q^{51} +(-3.41765 + 3.79498i) q^{52} +(-2.92487 - 5.06602i) q^{53} +(-5.21397 - 2.00173i) q^{54} +(-8.47526 - 2.17511i) q^{55} +(-7.46644 - 0.502335i) q^{56} +2.71120i q^{57} +(-1.71924 + 4.47815i) q^{58} +(-10.2528 + 5.91946i) q^{59} +(-1.78329 - 2.68398i) q^{60} +(5.94508 - 10.2972i) q^{61} +(-0.704492 - 4.44932i) q^{62} +(-3.19801 - 5.73180i) q^{63} +(-4.70408 + 6.47083i) q^{64} +(-4.07998 - 3.99456i) q^{65} +(3.09897 - 2.50926i) q^{66} +(-2.68095 + 1.54785i) q^{67} +(-2.12981 + 10.0154i) q^{68} -5.04687 q^{69} +(0.909040 - 8.31707i) q^{70} -12.3374i q^{71} +(-7.00711 - 0.368203i) q^{72} +(-2.59351 - 4.49209i) q^{73} +(-1.87016 + 1.51428i) q^{74} +(3.08127 - 1.86698i) q^{75} +(2.32480 + 7.15726i) q^{76} +(10.3519 + 0.151968i) q^{77} +(2.57007 - 0.406937i) q^{78} +(8.84693 + 5.10778i) q^{79} +(-7.00913 - 5.55626i) q^{80} +(-2.29841 - 3.98096i) q^{81} +(-2.01402 + 5.24598i) q^{82} +0.786461 q^{83} +(2.79547 + 2.59283i) q^{84} +(-11.0886 - 2.84580i) q^{85} +(-0.455556 + 1.18660i) q^{86} +(2.11658 - 1.22201i) q^{87} +(6.02929 - 9.28147i) q^{88} +(-0.679974 - 0.392583i) q^{89} +(0.737804 - 7.81023i) q^{90} +(5.80068 + 3.46353i) q^{91} +(-13.3232 + 4.32759i) q^{92} +(-1.14760 + 1.98770i) q^{93} +(-5.80049 - 7.16369i) q^{94} +(-8.10344 + 2.26346i) q^{95} +(3.93741 - 1.05405i) q^{96} -16.5331 q^{97} +(1.26049 + 9.81892i) q^{98} +9.70761 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.32026 0.506870i −0.933564 0.358411i
\(3\) 0.360276 + 0.624015i 0.208005 + 0.360276i 0.951086 0.308926i \(-0.0999696\pi\)
−0.743081 + 0.669202i \(0.766636\pi\)
\(4\) 1.48617 + 1.33840i 0.743083 + 0.669199i
\(5\) −1.56432 + 1.59778i −0.699587 + 0.714548i
\(6\) −0.159362 1.00647i −0.0650593 0.410892i
\(7\) 1.35637 2.27162i 0.512658 0.858593i
\(8\) −1.28373 2.52033i −0.453867 0.891070i
\(9\) 1.24040 2.14844i 0.413468 0.716147i
\(10\) 2.87518 1.31657i 0.909211 0.416336i
\(11\) 1.95654 + 3.38883i 0.589920 + 1.02177i 0.994242 + 0.107155i \(0.0341740\pi\)
−0.404322 + 0.914616i \(0.632493\pi\)
\(12\) −0.299752 + 1.40958i −0.0865311 + 0.406911i
\(13\) 2.55354i 0.708224i 0.935203 + 0.354112i \(0.115217\pi\)
−0.935203 + 0.354112i \(0.884783\pi\)
\(14\) −2.94217 + 2.31163i −0.786328 + 0.617809i
\(15\) −1.56063 0.400522i −0.402952 0.103414i
\(16\) 0.417377 + 3.97816i 0.104344 + 0.994541i
\(17\) 2.55984 + 4.43377i 0.620852 + 1.07535i 0.989327 + 0.145709i \(0.0465464\pi\)
−0.368476 + 0.929637i \(0.620120\pi\)
\(18\) −2.72663 + 2.20778i −0.642674 + 0.520378i
\(19\) 3.25858 + 1.88134i 0.747569 + 0.431609i 0.824815 0.565403i \(-0.191279\pi\)
−0.0772457 + 0.997012i \(0.524613\pi\)
\(20\) −4.46331 + 0.280873i −0.998026 + 0.0628050i
\(21\) 1.90619 + 0.0279831i 0.415966 + 0.00610642i
\(22\) −0.865446 5.46585i −0.184514 1.16532i
\(23\) −3.50209 + 6.06580i −0.730237 + 1.26481i 0.226545 + 0.974001i \(0.427257\pi\)
−0.956782 + 0.290807i \(0.906076\pi\)
\(24\) 1.11023 1.70908i 0.226624 0.348864i
\(25\) −0.105783 4.99888i −0.0211566 0.999776i
\(26\) 1.29431 3.37133i 0.253835 0.661172i
\(27\) 3.94920 0.760024
\(28\) 5.05612 1.56065i 0.955517 0.294935i
\(29\) 3.39188i 0.629856i −0.949116 0.314928i \(-0.898020\pi\)
0.949116 0.314928i \(-0.101980\pi\)
\(30\) 1.85742 + 1.31983i 0.339116 + 0.240966i
\(31\) 1.59267 + 2.75858i 0.286052 + 0.495456i 0.972864 0.231379i \(-0.0743237\pi\)
−0.686812 + 0.726835i \(0.740990\pi\)
\(32\) 1.46537 5.46376i 0.259043 0.965866i
\(33\) −1.40979 + 2.44183i −0.245413 + 0.425067i
\(34\) −1.13230 7.15122i −0.194188 1.22642i
\(35\) 1.50775 + 5.72072i 0.254857 + 0.966979i
\(36\) 4.71892 1.53279i 0.786486 0.255464i
\(37\) 0.850773 1.47358i 0.139866 0.242256i −0.787580 0.616213i \(-0.788666\pi\)
0.927446 + 0.373957i \(0.121999\pi\)
\(38\) −3.34857 4.13553i −0.543210 0.670872i
\(39\) −1.59345 + 0.919977i −0.255156 + 0.147314i
\(40\) 6.03509 + 1.89149i 0.954231 + 0.299071i
\(41\) 3.97345i 0.620548i −0.950647 0.310274i \(-0.899579\pi\)
0.950647 0.310274i \(-0.100421\pi\)
\(42\) −2.50248 1.00314i −0.386142 0.154787i
\(43\) 0.898763i 0.137060i −0.997649 0.0685300i \(-0.978169\pi\)
0.997649 0.0685300i \(-0.0218309\pi\)
\(44\) −1.62786 + 7.65500i −0.245409 + 1.15403i
\(45\) 1.49234 + 5.34275i 0.222465 + 0.796449i
\(46\) 7.69824 6.23332i 1.13504 0.919053i
\(47\) 5.64460 + 3.25891i 0.823350 + 0.475361i 0.851570 0.524240i \(-0.175651\pi\)
−0.0282202 + 0.999602i \(0.508984\pi\)
\(48\) −2.33207 + 1.69369i −0.336605 + 0.244462i
\(49\) −3.32054 6.16230i −0.474363 0.880329i
\(50\) −2.39412 + 6.65343i −0.338580 + 0.940938i
\(51\) −1.84449 + 3.19476i −0.258281 + 0.447355i
\(52\) −3.41765 + 3.79498i −0.473943 + 0.526269i
\(53\) −2.92487 5.06602i −0.401761 0.695871i 0.592177 0.805808i \(-0.298269\pi\)
−0.993939 + 0.109937i \(0.964935\pi\)
\(54\) −5.21397 2.00173i −0.709531 0.272401i
\(55\) −8.47526 2.17511i −1.14280 0.293292i
\(56\) −7.46644 0.502335i −0.997744 0.0671273i
\(57\) 2.71120i 0.359108i
\(58\) −1.71924 + 4.47815i −0.225747 + 0.588010i
\(59\) −10.2528 + 5.91946i −1.33480 + 0.770648i −0.986031 0.166560i \(-0.946734\pi\)
−0.348771 + 0.937208i \(0.613401\pi\)
\(60\) −1.78329 2.68398i −0.230222 0.346500i
\(61\) 5.94508 10.2972i 0.761190 1.31842i −0.181048 0.983474i \(-0.557949\pi\)
0.942238 0.334945i \(-0.108718\pi\)
\(62\) −0.704492 4.44932i −0.0894705 0.565064i
\(63\) −3.19801 5.73180i −0.402911 0.722139i
\(64\) −4.70408 + 6.47083i −0.588010 + 0.808854i
\(65\) −4.07998 3.99456i −0.506060 0.495464i
\(66\) 3.09897 2.50926i 0.381457 0.308869i
\(67\) −2.68095 + 1.54785i −0.327530 + 0.189100i −0.654744 0.755851i \(-0.727224\pi\)
0.327214 + 0.944950i \(0.393890\pi\)
\(68\) −2.12981 + 10.0154i −0.258277 + 1.21455i
\(69\) −5.04687 −0.607572
\(70\) 0.909040 8.31707i 0.108651 0.994080i
\(71\) 12.3374i 1.46418i −0.681207 0.732091i \(-0.738544\pi\)
0.681207 0.732091i \(-0.261456\pi\)
\(72\) −7.00711 0.368203i −0.825796 0.0433931i
\(73\) −2.59351 4.49209i −0.303547 0.525759i 0.673390 0.739288i \(-0.264838\pi\)
−0.976937 + 0.213529i \(0.931504\pi\)
\(74\) −1.87016 + 1.51428i −0.217401 + 0.176031i
\(75\) 3.08127 1.86698i 0.355794 0.215581i
\(76\) 2.32480 + 7.15726i 0.266673 + 0.820994i
\(77\) 10.3519 + 0.151968i 1.17971 + 0.0173183i
\(78\) 2.57007 0.406937i 0.291003 0.0460766i
\(79\) 8.84693 + 5.10778i 0.995358 + 0.574670i 0.906871 0.421407i \(-0.138464\pi\)
0.0884863 + 0.996077i \(0.471797\pi\)
\(80\) −7.00913 5.55626i −0.783645 0.621209i
\(81\) −2.29841 3.98096i −0.255379 0.442329i
\(82\) −2.01402 + 5.24598i −0.222411 + 0.579321i
\(83\) 0.786461 0.0863253 0.0431626 0.999068i \(-0.486257\pi\)
0.0431626 + 0.999068i \(0.486257\pi\)
\(84\) 2.79547 + 2.59283i 0.305010 + 0.282901i
\(85\) −11.0886 2.84580i −1.20273 0.308670i
\(86\) −0.455556 + 1.18660i −0.0491238 + 0.127954i
\(87\) 2.11658 1.22201i 0.226922 0.131013i
\(88\) 6.02929 9.28147i 0.642724 0.989408i
\(89\) −0.679974 0.392583i −0.0720771 0.0416137i 0.463528 0.886082i \(-0.346583\pi\)
−0.535605 + 0.844468i \(0.679917\pi\)
\(90\) 0.737804 7.81023i 0.0777714 0.823270i
\(91\) 5.80068 + 3.46353i 0.608076 + 0.363077i
\(92\) −13.3232 + 4.32759i −1.38903 + 0.451183i
\(93\) −1.14760 + 1.98770i −0.119000 + 0.206115i
\(94\) −5.80049 7.16369i −0.598275 0.738878i
\(95\) −8.10344 + 2.26346i −0.831395 + 0.232226i
\(96\) 3.93741 1.05405i 0.401860 0.107578i
\(97\) −16.5331 −1.67868 −0.839340 0.543607i \(-0.817058\pi\)
−0.839340 + 0.543607i \(0.817058\pi\)
\(98\) 1.26049 + 9.81892i 0.127329 + 0.991861i
\(99\) 9.70761 0.975651
\(100\) 6.53328 7.57075i 0.653328 0.757075i
\(101\) 6.01482 + 10.4180i 0.598497 + 1.03663i 0.993043 + 0.117751i \(0.0375684\pi\)
−0.394547 + 0.918876i \(0.629098\pi\)
\(102\) 4.05453 3.28299i 0.401459 0.325064i
\(103\) 0.132170 + 0.0763082i 0.0130231 + 0.00751887i 0.506497 0.862241i \(-0.330940\pi\)
−0.493474 + 0.869760i \(0.664273\pi\)
\(104\) 6.43575 3.27805i 0.631077 0.321439i
\(105\) −3.02661 + 3.00190i −0.295367 + 0.292955i
\(106\) 1.29377 + 8.17098i 0.125662 + 0.793636i
\(107\) −1.38413 0.799129i −0.133809 0.0772548i 0.431601 0.902065i \(-0.357949\pi\)
−0.565410 + 0.824810i \(0.691282\pi\)
\(108\) 5.86917 + 5.28561i 0.564761 + 0.508608i
\(109\) −13.5710 + 7.83523i −1.29987 + 0.750479i −0.980381 0.197112i \(-0.936844\pi\)
−0.319486 + 0.947591i \(0.603510\pi\)
\(110\) 10.0870 + 7.16756i 0.961762 + 0.683400i
\(111\) 1.22605 0.116372
\(112\) 9.60301 + 4.44772i 0.907399 + 0.420270i
\(113\) 8.17675i 0.769204i −0.923082 0.384602i \(-0.874339\pi\)
0.923082 0.384602i \(-0.125661\pi\)
\(114\) 1.37423 3.57949i 0.128708 0.335250i
\(115\) −4.21339 15.0844i −0.392901 1.40663i
\(116\) 4.53968 5.04089i 0.421499 0.468035i
\(117\) 5.48613 + 3.16742i 0.507193 + 0.292828i
\(118\) 16.5368 2.61838i 1.52233 0.241041i
\(119\) 13.5439 + 0.198826i 1.24157 + 0.0182264i
\(120\) 0.993974 + 4.44745i 0.0907370 + 0.405994i
\(121\) −2.15612 + 3.73451i −0.196011 + 0.339501i
\(122\) −13.0684 + 10.5816i −1.18316 + 0.958010i
\(123\) 2.47949 1.43154i 0.223568 0.129077i
\(124\) −1.32511 + 6.23134i −0.118999 + 0.559591i
\(125\) 8.15258 + 7.65085i 0.729189 + 0.684313i
\(126\) 1.31692 + 9.18843i 0.117321 + 0.818571i
\(127\) 13.7657 1.22151 0.610756 0.791819i \(-0.290866\pi\)
0.610756 + 0.791819i \(0.290866\pi\)
\(128\) 9.49047 6.15881i 0.838847 0.544367i
\(129\) 0.560842 0.323802i 0.0493794 0.0285092i
\(130\) 3.36191 + 7.34187i 0.294859 + 0.643925i
\(131\) −8.10845 4.68141i −0.708438 0.409017i 0.102044 0.994780i \(-0.467462\pi\)
−0.810483 + 0.585763i \(0.800795\pi\)
\(132\) −5.36332 + 1.74210i −0.466817 + 0.151630i
\(133\) 8.69352 4.85048i 0.753824 0.420590i
\(134\) 4.32411 0.684666i 0.373546 0.0591462i
\(135\) −6.17783 + 6.30994i −0.531703 + 0.543073i
\(136\) 7.88840 12.1434i 0.676425 1.04129i
\(137\) 16.1440 9.32074i 1.37927 0.796325i 0.387202 0.921995i \(-0.373441\pi\)
0.992072 + 0.125670i \(0.0401081\pi\)
\(138\) 6.66318 + 2.55811i 0.567207 + 0.217761i
\(139\) 4.50951i 0.382491i 0.981542 + 0.191246i \(0.0612527\pi\)
−0.981542 + 0.191246i \(0.938747\pi\)
\(140\) −5.41584 + 10.5199i −0.457722 + 0.889095i
\(141\) 4.69643i 0.395511i
\(142\) −6.25347 + 16.2886i −0.524779 + 1.36691i
\(143\) −8.65351 + 4.99611i −0.723643 + 0.417795i
\(144\) 9.06457 + 4.03782i 0.755381 + 0.336485i
\(145\) 5.41946 + 5.30599i 0.450062 + 0.440639i
\(146\) 1.14720 + 7.24529i 0.0949427 + 0.599624i
\(147\) 2.64906 4.29220i 0.218491 0.354015i
\(148\) 3.23663 1.05131i 0.266049 0.0864175i
\(149\) −20.1713 11.6459i −1.65249 0.954067i −0.976043 0.217579i \(-0.930184\pi\)
−0.676451 0.736488i \(-0.736483\pi\)
\(150\) −5.01439 + 0.903101i −0.409423 + 0.0737378i
\(151\) −8.61940 + 4.97642i −0.701437 + 0.404975i −0.807882 0.589344i \(-0.799386\pi\)
0.106445 + 0.994319i \(0.466053\pi\)
\(152\) 0.558460 10.6278i 0.0452971 0.862029i
\(153\) 12.7009 1.02681
\(154\) −13.5902 5.44772i −1.09513 0.438990i
\(155\) −6.89905 1.77059i −0.554145 0.142217i
\(156\) −3.59942 0.765429i −0.288185 0.0612834i
\(157\) 9.97707 5.76026i 0.796257 0.459719i −0.0459037 0.998946i \(-0.514617\pi\)
0.842161 + 0.539227i \(0.181283\pi\)
\(158\) −9.09126 11.2278i −0.723262 0.893239i
\(159\) 2.10752 3.65033i 0.167137 0.289490i
\(160\) 6.43757 + 10.8884i 0.508934 + 0.860805i
\(161\) 9.02910 + 16.1829i 0.711593 + 1.27539i
\(162\) 1.01666 + 6.42089i 0.0798767 + 0.504473i
\(163\) −6.80019 3.92609i −0.532632 0.307515i 0.209456 0.977818i \(-0.432831\pi\)
−0.742087 + 0.670303i \(0.766164\pi\)
\(164\) 5.31806 5.90520i 0.415270 0.461119i
\(165\) −1.69613 6.07233i −0.132043 0.472731i
\(166\) −1.03833 0.398633i −0.0805901 0.0309399i
\(167\) 17.7066i 1.37018i −0.728459 0.685090i \(-0.759763\pi\)
0.728459 0.685090i \(-0.240237\pi\)
\(168\) −2.37651 4.84015i −0.183352 0.373426i
\(169\) 6.47944 0.498419
\(170\) 13.1974 + 9.37766i 1.01219 + 0.719234i
\(171\) 8.08390 4.66724i 0.618191 0.356913i
\(172\) 1.20290 1.33571i 0.0917205 0.101847i
\(173\) −3.71071 2.14238i −0.282120 0.162882i 0.352263 0.935901i \(-0.385412\pi\)
−0.634383 + 0.773019i \(0.718746\pi\)
\(174\) −3.41384 + 0.540537i −0.258802 + 0.0409780i
\(175\) −11.4991 6.54001i −0.869247 0.494378i
\(176\) −12.6647 + 9.19787i −0.954639 + 0.693316i
\(177\) −7.38767 4.26527i −0.555291 0.320598i
\(178\) 0.698752 + 0.862969i 0.0523737 + 0.0646823i
\(179\) −6.86299 11.8870i −0.512964 0.888479i −0.999887 0.0150343i \(-0.995214\pi\)
0.486923 0.873445i \(-0.338119\pi\)
\(180\) −4.93286 + 9.93755i −0.367674 + 0.740701i
\(181\) 9.40055 0.698738 0.349369 0.936985i \(-0.386396\pi\)
0.349369 + 0.936985i \(0.386396\pi\)
\(182\) −5.90283 7.51295i −0.437547 0.556897i
\(183\) 8.56747 0.633326
\(184\) 19.7835 + 1.03957i 1.45846 + 0.0766378i
\(185\) 1.02357 + 3.66451i 0.0752545 + 0.269420i
\(186\) 2.52263 2.04259i 0.184968 0.149770i
\(187\) −10.0169 + 17.3497i −0.732505 + 1.26874i
\(188\) 4.02709 + 12.3980i 0.293706 + 0.904218i
\(189\) 5.35656 8.97110i 0.389632 0.652551i
\(190\) 11.8459 + 1.11904i 0.859393 + 0.0811838i
\(191\) −15.4640 8.92815i −1.11894 0.646019i −0.177808 0.984065i \(-0.556900\pi\)
−0.941129 + 0.338047i \(0.890234\pi\)
\(192\) −5.73266 0.604137i −0.413719 0.0435998i
\(193\) −19.8035 + 11.4335i −1.42548 + 0.823004i −0.996760 0.0804313i \(-0.974370\pi\)
−0.428725 + 0.903435i \(0.641037\pi\)
\(194\) 21.8279 + 8.38012i 1.56716 + 0.601658i
\(195\) 1.02275 3.98512i 0.0732406 0.285380i
\(196\) 3.31274 13.6024i 0.236624 0.971601i
\(197\) −13.6688 −0.973859 −0.486929 0.873441i \(-0.661883\pi\)
−0.486929 + 0.873441i \(0.661883\pi\)
\(198\) −12.8166 4.92049i −0.910833 0.349684i
\(199\) 11.4509 + 19.8335i 0.811732 + 1.40596i 0.911651 + 0.410966i \(0.134809\pi\)
−0.0999183 + 0.994996i \(0.531858\pi\)
\(200\) −12.4630 + 6.68382i −0.881268 + 0.472617i
\(201\) −1.93176 1.11530i −0.136256 0.0786675i
\(202\) −2.66056 16.8031i −0.187196 1.18227i
\(203\) −7.70507 4.60063i −0.540790 0.322901i
\(204\) −7.01708 + 2.27927i −0.491294 + 0.159581i
\(205\) 6.34868 + 6.21576i 0.443411 + 0.434127i
\(206\) −0.135820 0.167739i −0.00946302 0.0116870i
\(207\) 8.68801 + 15.0481i 0.603859 + 1.04591i
\(208\) −10.1584 + 1.06579i −0.704358 + 0.0738992i
\(209\) 14.7237i 1.01846i
\(210\) 5.51749 2.42918i 0.380743 0.167629i
\(211\) −3.80653 −0.262052 −0.131026 0.991379i \(-0.541827\pi\)
−0.131026 + 0.991379i \(0.541827\pi\)
\(212\) 2.43352 11.4436i 0.167135 0.785949i
\(213\) 7.69874 4.44487i 0.527509 0.304558i
\(214\) 1.42236 + 1.75663i 0.0972304 + 0.120081i
\(215\) 1.43602 + 1.40596i 0.0979359 + 0.0958854i
\(216\) −5.06970 9.95327i −0.344950 0.677234i
\(217\) 8.42670 + 0.123705i 0.572042 + 0.00839763i
\(218\) 21.8887 3.46579i 1.48249 0.234733i
\(219\) 1.86876 3.23678i 0.126279 0.218721i
\(220\) −9.68448 14.5759i −0.652928 0.982704i
\(221\) −11.3218 + 6.53664i −0.761586 + 0.439702i
\(222\) −1.61870 0.621449i −0.108640 0.0417089i
\(223\) 15.1551i 1.01486i −0.861693 0.507430i \(-0.830595\pi\)
0.861693 0.507430i \(-0.169405\pi\)
\(224\) −10.4240 10.7396i −0.696485 0.717571i
\(225\) −10.8710 5.97336i −0.724734 0.398224i
\(226\) −4.14455 + 10.7954i −0.275691 + 0.718101i
\(227\) 5.92282 + 10.2586i 0.393111 + 0.680888i 0.992858 0.119301i \(-0.0380655\pi\)
−0.599747 + 0.800190i \(0.704732\pi\)
\(228\) −3.62867 + 4.02930i −0.240315 + 0.266847i
\(229\) −0.242540 + 0.420091i −0.0160275 + 0.0277604i −0.873928 0.486056i \(-0.838435\pi\)
0.857900 + 0.513816i \(0.171769\pi\)
\(230\) −2.08308 + 22.0510i −0.137354 + 1.45400i
\(231\) 3.63472 + 6.51452i 0.239147 + 0.428624i
\(232\) −8.54863 + 4.35425i −0.561245 + 0.285871i
\(233\) 22.8163 + 13.1730i 1.49475 + 0.862992i 0.999982 0.00603553i \(-0.00192118\pi\)
0.494764 + 0.869027i \(0.335255\pi\)
\(234\) −5.63764 6.96256i −0.368544 0.455157i
\(235\) −14.0370 + 3.92082i −0.915673 + 0.255766i
\(236\) −23.1600 4.92505i −1.50759 0.320593i
\(237\) 7.36083i 0.478137i
\(238\) −17.7807 7.12751i −1.15255 0.462008i
\(239\) 1.78403i 0.115399i 0.998334 + 0.0576997i \(0.0183766\pi\)
−0.998334 + 0.0576997i \(0.981623\pi\)
\(240\) 0.941974 6.37559i 0.0608042 0.411543i
\(241\) −7.29829 + 4.21367i −0.470124 + 0.271426i −0.716292 0.697801i \(-0.754162\pi\)
0.246167 + 0.969227i \(0.420829\pi\)
\(242\) 4.73955 3.83765i 0.304670 0.246693i
\(243\) 7.57992 13.1288i 0.486252 0.842214i
\(244\) 22.6171 7.34643i 1.44791 0.470307i
\(245\) 15.0404 + 4.33435i 0.960895 + 0.276911i
\(246\) −3.99917 + 0.633217i −0.254978 + 0.0403724i
\(247\) −4.80408 + 8.32091i −0.305676 + 0.529447i
\(248\) 4.90797 7.55532i 0.311656 0.479763i
\(249\) 0.283342 + 0.490764i 0.0179561 + 0.0311009i
\(250\) −6.88552 14.2334i −0.435479 0.900199i
\(251\) 19.9871i 1.26157i −0.775956 0.630787i \(-0.782732\pi\)
0.775956 0.630787i \(-0.217268\pi\)
\(252\) 2.91866 12.7986i 0.183859 0.806237i
\(253\) −27.4080 −1.72312
\(254\) −18.1743 6.97744i −1.14036 0.437804i
\(255\) −2.21912 7.94472i −0.138967 0.497518i
\(256\) −15.6516 + 3.32079i −0.978225 + 0.207549i
\(257\) −0.516455 + 0.894526i −0.0322156 + 0.0557990i −0.881684 0.471841i \(-0.843590\pi\)
0.849468 + 0.527640i \(0.176923\pi\)
\(258\) −0.904582 + 0.143229i −0.0563168 + 0.00891703i
\(259\) −2.19346 3.93135i −0.136295 0.244282i
\(260\) −0.717219 11.3972i −0.0444800 0.706826i
\(261\) −7.28725 4.20729i −0.451069 0.260425i
\(262\) 8.33238 + 10.2906i 0.514776 + 0.635756i
\(263\) 3.33070 + 5.76894i 0.205380 + 0.355728i 0.950254 0.311477i \(-0.100824\pi\)
−0.744874 + 0.667205i \(0.767490\pi\)
\(264\) 7.96398 + 0.418484i 0.490149 + 0.0257559i
\(265\) 12.6698 + 3.25161i 0.778300 + 0.199745i
\(266\) −13.9363 + 1.99740i −0.854487 + 0.122468i
\(267\) 0.565752i 0.0346235i
\(268\) −6.05598 1.28782i −0.369928 0.0786664i
\(269\) −3.75055 6.49615i −0.228675 0.396077i 0.728740 0.684790i \(-0.240106\pi\)
−0.957416 + 0.288713i \(0.906773\pi\)
\(270\) 11.3547 5.19940i 0.691022 0.316425i
\(271\) 1.07782 1.86684i 0.0654730 0.113402i −0.831431 0.555628i \(-0.812478\pi\)
0.896904 + 0.442226i \(0.145811\pi\)
\(272\) −16.5698 + 12.0340i −1.00469 + 0.729669i
\(273\) −0.0714560 + 4.86754i −0.00432471 + 0.294597i
\(274\) −26.0387 + 4.12288i −1.57305 + 0.249072i
\(275\) 16.7334 10.1390i 1.00906 0.611405i
\(276\) −7.50049 6.75473i −0.451476 0.406587i
\(277\) 5.98545 + 10.3671i 0.359631 + 0.622899i 0.987899 0.155098i \(-0.0495692\pi\)
−0.628268 + 0.777997i \(0.716236\pi\)
\(278\) 2.28573 5.95372i 0.137089 0.357080i
\(279\) 7.90220 0.473093
\(280\) 12.4825 11.1439i 0.745974 0.665975i
\(281\) 3.06151 0.182634 0.0913171 0.995822i \(-0.470892\pi\)
0.0913171 + 0.995822i \(0.470892\pi\)
\(282\) 2.38048 6.20050i 0.141755 0.369234i
\(283\) 10.3523 + 17.9308i 0.615383 + 1.06587i 0.990317 + 0.138823i \(0.0443320\pi\)
−0.374934 + 0.927051i \(0.622335\pi\)
\(284\) 16.5124 18.3355i 0.979830 1.08801i
\(285\) −4.33190 4.24120i −0.256600 0.251227i
\(286\) 13.9572 2.20995i 0.825309 0.130677i
\(287\) −9.02617 5.38945i −0.532798 0.318129i
\(288\) −9.92093 9.92552i −0.584596 0.584867i
\(289\) −4.60553 + 7.97701i −0.270913 + 0.469236i
\(290\) −4.46564 9.75225i −0.262232 0.572672i
\(291\) −5.95647 10.3169i −0.349174 0.604787i
\(292\) 2.15782 10.1471i 0.126277 0.593816i
\(293\) 30.5374i 1.78402i 0.452020 + 0.892008i \(0.350704\pi\)
−0.452020 + 0.892008i \(0.649296\pi\)
\(294\) −5.67303 + 4.32408i −0.330858 + 0.252186i
\(295\) 6.58073 25.6417i 0.383145 1.49291i
\(296\) −4.80607 0.252545i −0.279347 0.0146789i
\(297\) 7.72678 + 13.3832i 0.448353 + 0.776571i
\(298\) 20.7283 + 25.5998i 1.20076 + 1.48295i
\(299\) −15.4893 8.94273i −0.895767 0.517171i
\(300\) 7.07805 + 1.34932i 0.408651 + 0.0779028i
\(301\) −2.04165 1.21905i −0.117679 0.0702649i
\(302\) 13.9022 2.20124i 0.799984 0.126667i
\(303\) −4.33398 + 7.50668i −0.248981 + 0.431247i
\(304\) −6.12423 + 13.7484i −0.351249 + 0.788524i
\(305\) 7.15257 + 25.6070i 0.409555 + 1.46625i
\(306\) −16.7685 6.43771i −0.958591 0.368020i
\(307\) −7.15470 −0.408340 −0.204170 0.978935i \(-0.565450\pi\)
−0.204170 + 0.978935i \(0.565450\pi\)
\(308\) 15.1813 + 14.0809i 0.865035 + 0.802332i
\(309\) 0.109968i 0.00625586i
\(310\) 8.21107 + 5.83455i 0.466358 + 0.331380i
\(311\) 4.60675 + 7.97912i 0.261225 + 0.452454i 0.966568 0.256412i \(-0.0825403\pi\)
−0.705343 + 0.708866i \(0.749207\pi\)
\(312\) 4.36420 + 2.83500i 0.247074 + 0.160501i
\(313\) 5.15408 8.92713i 0.291326 0.504591i −0.682798 0.730608i \(-0.739237\pi\)
0.974124 + 0.226016i \(0.0725702\pi\)
\(314\) −16.0920 + 2.54796i −0.908125 + 0.143790i
\(315\) 14.1609 + 3.85669i 0.797874 + 0.217300i
\(316\) 6.31176 + 19.4317i 0.355064 + 1.09312i
\(317\) 16.7268 28.9716i 0.939469 1.62721i 0.173004 0.984921i \(-0.444653\pi\)
0.766464 0.642287i \(-0.222014\pi\)
\(318\) −4.63271 + 3.75114i −0.259789 + 0.210353i
\(319\) 11.4945 6.63635i 0.643568 0.371564i
\(320\) −2.98024 17.6385i −0.166601 0.986024i
\(321\) 1.15163i 0.0642776i
\(322\) −3.71813 25.9422i −0.207203 1.44570i
\(323\) 19.2637i 1.07186i
\(324\) 1.91230 8.99256i 0.106239 0.499586i
\(325\) 12.7648 0.270121i 0.708066 0.0149836i
\(326\) 6.98799 + 8.63026i 0.387029 + 0.477986i
\(327\) −9.77861 5.64568i −0.540758 0.312207i
\(328\) −10.0144 + 5.10083i −0.552951 + 0.281646i
\(329\) 15.0592 8.40213i 0.830239 0.463225i
\(330\) −0.838557 + 8.87677i −0.0461610 + 0.488650i
\(331\) 0.130885 0.226700i 0.00719411 0.0124606i −0.862406 0.506217i \(-0.831043\pi\)
0.869600 + 0.493757i \(0.164377\pi\)
\(332\) 1.16881 + 1.05260i 0.0641468 + 0.0577688i
\(333\) −2.11060 3.65567i −0.115660 0.200330i
\(334\) −8.97496 + 23.3773i −0.491088 + 1.27915i
\(335\) 1.72076 6.70490i 0.0940152 0.366328i
\(336\) 0.684280 + 7.59483i 0.0373306 + 0.414332i
\(337\) 13.7546i 0.749262i 0.927174 + 0.374631i \(0.122231\pi\)
−0.927174 + 0.374631i \(0.877769\pi\)
\(338\) −8.55454 3.28423i −0.465306 0.178639i
\(339\) 5.10242 2.94588i 0.277125 0.159998i
\(340\) −12.6707 19.0703i −0.687163 1.03423i
\(341\) −6.23225 + 10.7946i −0.337495 + 0.584559i
\(342\) −13.0385 + 2.06448i −0.705043 + 0.111634i
\(343\) −18.5023 0.815316i −0.999031 0.0440229i
\(344\) −2.26517 + 1.15377i −0.122130 + 0.0622070i
\(345\) 7.89494 8.06378i 0.425049 0.434139i
\(346\) 3.81319 + 4.70934i 0.204998 + 0.253176i
\(347\) 24.9110 14.3824i 1.33729 0.772086i 0.350887 0.936418i \(-0.385880\pi\)
0.986405 + 0.164332i \(0.0525467\pi\)
\(348\) 4.78113 + 1.01672i 0.256296 + 0.0545021i
\(349\) −23.9493 −1.28197 −0.640987 0.767551i \(-0.721475\pi\)
−0.640987 + 0.767551i \(0.721475\pi\)
\(350\) 11.8668 + 14.4630i 0.634307 + 0.773082i
\(351\) 10.0844i 0.538267i
\(352\) 21.3828 5.72421i 1.13971 0.305101i
\(353\) −11.9932 20.7729i −0.638336 1.10563i −0.985798 0.167937i \(-0.946290\pi\)
0.347462 0.937694i \(-0.387044\pi\)
\(354\) 7.59170 + 9.37585i 0.403494 + 0.498321i
\(355\) 19.7124 + 19.2997i 1.04623 + 1.02432i
\(356\) −0.485121 1.49352i −0.0257114 0.0791564i
\(357\) 4.75547 + 8.52325i 0.251686 + 0.451098i
\(358\) 3.03573 + 19.1726i 0.160443 + 1.01330i
\(359\) 15.3298 + 8.85066i 0.809075 + 0.467120i 0.846635 0.532175i \(-0.178625\pi\)
−0.0375594 + 0.999294i \(0.511958\pi\)
\(360\) 11.5497 10.6198i 0.608723 0.559713i
\(361\) −2.42111 4.19349i −0.127427 0.220710i
\(362\) −12.4112 4.76486i −0.652316 0.250435i
\(363\) −3.10719 −0.163085
\(364\) 3.98518 + 12.9110i 0.208880 + 0.676720i
\(365\) 11.2344 + 2.88323i 0.588038 + 0.150915i
\(366\) −11.3113 4.34259i −0.591250 0.226991i
\(367\) −11.3340 + 6.54368i −0.591629 + 0.341577i −0.765742 0.643148i \(-0.777628\pi\)
0.174112 + 0.984726i \(0.444294\pi\)
\(368\) −25.5925 11.4002i −1.33410 0.594275i
\(369\) −8.53672 4.92868i −0.444404 0.256577i
\(370\) 0.506049 5.35691i 0.0263082 0.278493i
\(371\) −15.4753 0.227179i −0.803436 0.0117945i
\(372\) −4.36586 + 1.41811i −0.226359 + 0.0735254i
\(373\) 11.0243 19.0947i 0.570817 0.988684i −0.425665 0.904881i \(-0.639960\pi\)
0.996482 0.0838033i \(-0.0267067\pi\)
\(374\) 22.0189 17.8289i 1.13857 0.921908i
\(375\) −1.83708 + 7.84375i −0.0948662 + 0.405049i
\(376\) 0.967380 18.4098i 0.0498888 0.949413i
\(377\) 8.66129 0.446079
\(378\) −11.6192 + 9.12909i −0.597628 + 0.469550i
\(379\) 18.8729 0.969437 0.484719 0.874670i \(-0.338922\pi\)
0.484719 + 0.874670i \(0.338922\pi\)
\(380\) −15.0725 7.48176i −0.773201 0.383806i
\(381\) 4.95946 + 8.59004i 0.254081 + 0.440081i
\(382\) 15.8911 + 19.6257i 0.813059 + 1.00414i
\(383\) 14.2851 + 8.24751i 0.729935 + 0.421428i 0.818398 0.574651i \(-0.194862\pi\)
−0.0884637 + 0.996079i \(0.528196\pi\)
\(384\) 7.26238 + 3.70333i 0.370607 + 0.188985i
\(385\) −16.4366 + 16.3024i −0.837686 + 0.830845i
\(386\) 31.9410 5.05744i 1.62575 0.257417i
\(387\) −1.93094 1.11483i −0.0981551 0.0566699i
\(388\) −24.5709 22.1279i −1.24740 1.12337i
\(389\) 1.28484 0.741804i 0.0651441 0.0376110i −0.467074 0.884218i \(-0.654692\pi\)
0.532218 + 0.846607i \(0.321359\pi\)
\(390\) −3.37023 + 4.74298i −0.170658 + 0.240170i
\(391\) −35.8591 −1.81347
\(392\) −11.2683 + 16.2796i −0.569137 + 0.822243i
\(393\) 6.74639i 0.340311i
\(394\) 18.0463 + 6.92828i 0.909159 + 0.349042i
\(395\) −22.0006 + 6.14521i −1.10697 + 0.309199i
\(396\) 14.4271 + 12.9927i 0.724990 + 0.652905i
\(397\) −23.3671 13.4910i −1.17276 0.677093i −0.218431 0.975852i \(-0.570094\pi\)
−0.954329 + 0.298759i \(0.903427\pi\)
\(398\) −5.06512 31.9895i −0.253892 1.60349i
\(399\) 6.15884 + 3.67739i 0.308327 + 0.184100i
\(400\) 19.8422 2.50724i 0.992111 0.125362i
\(401\) 4.72660 8.18671i 0.236035 0.408825i −0.723538 0.690285i \(-0.757485\pi\)
0.959573 + 0.281460i \(0.0908186\pi\)
\(402\) 1.98511 + 2.45164i 0.0990084 + 0.122277i
\(403\) −7.04415 + 4.06694i −0.350894 + 0.202589i
\(404\) −5.00438 + 23.5331i −0.248977 + 1.17081i
\(405\) 9.95614 + 2.55517i 0.494725 + 0.126967i
\(406\) 7.84076 + 9.97948i 0.389130 + 0.495273i
\(407\) 6.65830 0.330040
\(408\) 10.4197 + 0.547522i 0.515850 + 0.0271064i
\(409\) −18.4734 + 10.6656i −0.913451 + 0.527381i −0.881540 0.472110i \(-0.843493\pi\)
−0.0319110 + 0.999491i \(0.510159\pi\)
\(410\) −5.23132 11.4244i −0.258357 0.564209i
\(411\) 11.6326 + 6.71607i 0.573792 + 0.331279i
\(412\) 0.0942953 + 0.290302i 0.00464559 + 0.0143022i
\(413\) −0.459773 + 31.3195i −0.0226240 + 1.54113i
\(414\) −3.84301 24.2711i −0.188873 1.19286i
\(415\) −1.23028 + 1.25659i −0.0603920 + 0.0616835i
\(416\) 13.9519 + 3.74187i 0.684049 + 0.183460i
\(417\) −2.81400 + 1.62466i −0.137802 + 0.0795602i
\(418\) 7.46300 19.4391i 0.365027 0.950797i
\(419\) 27.0871i 1.32329i 0.749816 + 0.661646i \(0.230142\pi\)
−0.749816 + 0.661646i \(0.769858\pi\)
\(420\) −8.51579 + 0.410500i −0.415528 + 0.0200304i
\(421\) 10.8575i 0.529163i −0.964363 0.264581i \(-0.914766\pi\)
0.964363 0.264581i \(-0.0852338\pi\)
\(422\) 5.02560 + 1.92941i 0.244642 + 0.0939224i
\(423\) 14.0032 8.08473i 0.680857 0.393093i
\(424\) −9.01328 + 13.8750i −0.437724 + 0.673830i
\(425\) 21.8931 13.2653i 1.06197 0.643463i
\(426\) −12.4173 + 1.96612i −0.601620 + 0.0952587i
\(427\) −15.3276 27.4717i −0.741755 1.32945i
\(428\) −0.987497 3.04016i −0.0477325 0.146952i
\(429\) −6.23530 3.59995i −0.301043 0.173807i
\(430\) −1.18328 2.58410i −0.0570630 0.124616i
\(431\) 1.43863 0.830592i 0.0692963 0.0400082i −0.464952 0.885336i \(-0.653928\pi\)
0.534248 + 0.845328i \(0.320595\pi\)
\(432\) 1.64831 + 15.7106i 0.0793042 + 0.755875i
\(433\) −30.7666 −1.47855 −0.739274 0.673405i \(-0.764831\pi\)
−0.739274 + 0.673405i \(0.764831\pi\)
\(434\) −11.0627 4.43456i −0.531028 0.212866i
\(435\) −1.35852 + 5.29345i −0.0651361 + 0.253801i
\(436\) −30.6554 6.51898i −1.46813 0.312203i
\(437\) −22.8237 + 13.1773i −1.09181 + 0.630354i
\(438\) −4.10787 + 3.32617i −0.196281 + 0.158931i
\(439\) 5.33622 9.24260i 0.254684 0.441125i −0.710126 0.704075i \(-0.751362\pi\)
0.964810 + 0.262950i \(0.0846953\pi\)
\(440\) 5.39796 + 24.1527i 0.257338 + 1.15143i
\(441\) −17.3582 0.509749i −0.826579 0.0242738i
\(442\) 18.2609 2.89138i 0.868584 0.137529i
\(443\) −10.4954 6.05950i −0.498650 0.287896i 0.229506 0.973307i \(-0.426289\pi\)
−0.728156 + 0.685412i \(0.759622\pi\)
\(444\) 1.82212 + 1.64095i 0.0864738 + 0.0778758i
\(445\) 1.69096 0.472319i 0.0801591 0.0223901i
\(446\) −7.68167 + 20.0087i −0.363737 + 0.947437i
\(447\) 16.7829i 0.793804i
\(448\) 8.31883 + 19.4627i 0.393028 + 0.919527i
\(449\) 32.0498 1.51252 0.756261 0.654270i \(-0.227024\pi\)
0.756261 + 0.654270i \(0.227024\pi\)
\(450\) 11.3248 + 13.3966i 0.533858 + 0.631520i
\(451\) 13.4653 7.77422i 0.634058 0.366074i
\(452\) 10.9438 12.1520i 0.514751 0.571582i
\(453\) −6.21072 3.58576i −0.291805 0.168474i
\(454\) −2.61986 16.5461i −0.122956 0.776548i
\(455\) −14.6081 + 3.85010i −0.684838 + 0.180496i
\(456\) 6.83312 3.48045i 0.319990 0.162987i
\(457\) −5.80174 3.34963i −0.271394 0.156689i 0.358127 0.933673i \(-0.383415\pi\)
−0.629521 + 0.776984i \(0.716749\pi\)
\(458\) 0.533147 0.431693i 0.0249123 0.0201717i
\(459\) 10.1093 + 17.5098i 0.471862 + 0.817289i
\(460\) 13.9272 28.0572i 0.649359 1.30817i
\(461\) 15.4768 0.720828 0.360414 0.932792i \(-0.382635\pi\)
0.360414 + 0.932792i \(0.382635\pi\)
\(462\) −1.49676 10.4432i −0.0696354 0.485861i
\(463\) 14.8717 0.691145 0.345572 0.938392i \(-0.387685\pi\)
0.345572 + 0.938392i \(0.387685\pi\)
\(464\) 13.4934 1.41569i 0.626417 0.0657219i
\(465\) −1.38068 4.94301i −0.0640277 0.229227i
\(466\) −23.4464 28.9567i −1.08613 1.34139i
\(467\) 0.0443182 0.0767615i 0.00205080 0.00355210i −0.864998 0.501775i \(-0.832681\pi\)
0.867049 + 0.498223i \(0.166014\pi\)
\(468\) 3.91403 + 12.0499i 0.180926 + 0.557008i
\(469\) −0.120224 + 8.18956i −0.00555141 + 0.378159i
\(470\) 20.5198 + 1.93844i 0.946509 + 0.0894133i
\(471\) 7.18899 + 4.15056i 0.331251 + 0.191248i
\(472\) 28.0808 + 18.2414i 1.29252 + 0.839630i
\(473\) 3.04576 1.75847i 0.140044 0.0808544i
\(474\) 3.73098 9.71820i 0.171370 0.446372i
\(475\) 9.05990 16.4883i 0.415697 0.756533i
\(476\) 19.8624 + 18.4227i 0.910392 + 0.844401i
\(477\) −14.5121 −0.664462
\(478\) 0.904272 2.35538i 0.0413604 0.107733i
\(479\) −4.36928 7.56782i −0.199638 0.345783i 0.748773 0.662826i \(-0.230643\pi\)
−0.948411 + 0.317044i \(0.897310\pi\)
\(480\) −4.47525 + 7.93997i −0.204266 + 0.362409i
\(481\) 3.76285 + 2.17248i 0.171571 + 0.0990567i
\(482\) 11.7714 1.86385i 0.536173 0.0848961i
\(483\) −6.84541 + 11.4646i −0.311477 + 0.521657i
\(484\) −8.20262 + 2.66435i −0.372846 + 0.121107i
\(485\) 25.8631 26.4162i 1.17438 1.19950i
\(486\) −16.6621 + 13.4914i −0.755806 + 0.611982i
\(487\) 8.60661 + 14.9071i 0.390003 + 0.675504i 0.992449 0.122655i \(-0.0391408\pi\)
−0.602447 + 0.798159i \(0.705807\pi\)
\(488\) −33.5841 1.76475i −1.52028 0.0798863i
\(489\) 5.65789i 0.255859i
\(490\) −17.6603 13.3460i −0.797809 0.602910i
\(491\) −15.0849 −0.680770 −0.340385 0.940286i \(-0.610557\pi\)
−0.340385 + 0.940286i \(0.610557\pi\)
\(492\) 5.60090 + 1.19105i 0.252508 + 0.0536967i
\(493\) 15.0388 8.68265i 0.677313 0.391047i
\(494\) 10.5602 8.55070i 0.475128 0.384714i
\(495\) −15.1858 + 15.5106i −0.682553 + 0.697149i
\(496\) −10.3094 + 7.48727i −0.462904 + 0.336188i
\(497\) −28.0260 16.7341i −1.25714 0.750625i
\(498\) −0.125332 0.791553i −0.00561626 0.0354703i
\(499\) −12.9769 + 22.4766i −0.580925 + 1.00619i 0.414445 + 0.910074i \(0.363976\pi\)
−0.995370 + 0.0961171i \(0.969358\pi\)
\(500\) 1.87619 + 22.2818i 0.0839058 + 0.996474i
\(501\) 11.0492 6.37926i 0.493642 0.285004i
\(502\) −10.1309 + 26.3881i −0.452162 + 1.17776i
\(503\) 6.00776i 0.267873i −0.990990 0.133936i \(-0.957238\pi\)
0.990990 0.133936i \(-0.0427618\pi\)
\(504\) −10.3406 + 15.4181i −0.460608 + 0.686777i
\(505\) −26.0547 6.68674i −1.15942 0.297556i
\(506\) 36.1856 + 13.8923i 1.60865 + 0.617587i
\(507\) 2.33438 + 4.04327i 0.103674 + 0.179568i
\(508\) 20.4582 + 18.4241i 0.907685 + 0.817435i
\(509\) 4.28454 7.42104i 0.189909 0.328932i −0.755311 0.655367i \(-0.772514\pi\)
0.945220 + 0.326435i \(0.105847\pi\)
\(510\) −1.09712 + 11.6139i −0.0485814 + 0.514272i
\(511\) −13.7221 0.201442i −0.607029 0.00891125i
\(512\) 22.3474 + 3.54902i 0.987623 + 0.156846i
\(513\) 12.8688 + 7.42979i 0.568171 + 0.328033i
\(514\) 1.13526 0.919230i 0.0500743 0.0405455i
\(515\) −0.328680 + 0.0918070i −0.0144834 + 0.00404550i
\(516\) 1.26688 + 0.269406i 0.0557713 + 0.0118600i
\(517\) 25.5048i 1.12170i
\(518\) 0.903256 + 6.30220i 0.0396868 + 0.276903i
\(519\) 3.08739i 0.135521i
\(520\) −4.83000 + 15.4108i −0.211809 + 0.675809i
\(521\) 16.4208 9.48055i 0.719408 0.415350i −0.0951267 0.995465i \(-0.530326\pi\)
0.814535 + 0.580115i \(0.196992\pi\)
\(522\) 7.48850 + 9.24840i 0.327763 + 0.404792i
\(523\) 18.0605 31.2816i 0.789729 1.36785i −0.136404 0.990653i \(-0.543555\pi\)
0.926133 0.377197i \(-0.123112\pi\)
\(524\) −5.78490 17.8097i −0.252714 0.778020i
\(525\) −0.0617588 9.53179i −0.00269538 0.416002i
\(526\) −1.47328 9.30473i −0.0642382 0.405705i
\(527\) −8.15394 + 14.1230i −0.355191 + 0.615209i
\(528\) −10.3024 4.58921i −0.448354 0.199720i
\(529\) −13.0293 22.5674i −0.566492 0.981192i
\(530\) −15.0793 10.7149i −0.655002 0.465426i
\(531\) 29.3701i 1.27455i
\(532\) 19.4119 + 4.42679i 0.841612 + 0.191926i
\(533\) 10.1463 0.439487
\(534\) −0.286763 + 0.746939i −0.0124094 + 0.0323232i
\(535\) 3.44206 0.961439i 0.148813 0.0415666i
\(536\) 7.34270 + 4.76985i 0.317156 + 0.206026i
\(537\) 4.94513 8.56522i 0.213398 0.369616i
\(538\) 1.65900 + 10.4776i 0.0715245 + 0.451723i
\(539\) 14.3862 23.3096i 0.619659 1.00401i
\(540\) −17.6265 + 1.10922i −0.758524 + 0.0477333i
\(541\) 12.3425 + 7.12594i 0.530645 + 0.306368i 0.741279 0.671197i \(-0.234219\pi\)
−0.210634 + 0.977565i \(0.567553\pi\)
\(542\) −2.36925 + 1.91840i −0.101768 + 0.0824022i
\(543\) 3.38679 + 5.86609i 0.145341 + 0.251738i
\(544\) 27.9762 7.48925i 1.19947 0.321099i
\(545\) 8.71051 33.9403i 0.373117 1.45384i
\(546\) 2.56155 6.39019i 0.109624 0.273475i
\(547\) 22.3957i 0.957570i −0.877932 0.478785i \(-0.841077\pi\)
0.877932 0.478785i \(-0.158923\pi\)
\(548\) 36.4675 + 7.75494i 1.55782 + 0.331275i
\(549\) −14.7486 25.5453i −0.629455 1.09025i
\(550\) −27.2316 + 4.90445i −1.16116 + 0.209127i
\(551\) 6.38128 11.0527i 0.271852 0.470861i
\(552\) 6.47882 + 12.7198i 0.275757 + 0.541389i
\(553\) 23.6026 13.1689i 1.00369 0.559998i
\(554\) −2.64757 16.7211i −0.112485 0.710412i
\(555\) −1.91794 + 1.95896i −0.0814121 + 0.0831531i
\(556\) −6.03552 + 6.70188i −0.255963 + 0.284223i
\(557\) −10.3454 17.9188i −0.438350 0.759244i 0.559213 0.829024i \(-0.311103\pi\)
−0.997562 + 0.0697803i \(0.977770\pi\)
\(558\) −10.4330 4.00539i −0.441662 0.169562i
\(559\) 2.29502 0.0970692
\(560\) −22.1287 + 8.38579i −0.935107 + 0.354364i
\(561\) −14.4353 −0.609460
\(562\) −4.04198 1.55179i −0.170501 0.0654581i
\(563\) −8.03504 13.9171i −0.338636 0.586536i 0.645540 0.763726i \(-0.276632\pi\)
−0.984177 + 0.177191i \(0.943299\pi\)
\(564\) −6.28569 + 6.97967i −0.264675 + 0.293897i
\(565\) 13.0646 + 12.7911i 0.549633 + 0.538125i
\(566\) −4.57920 28.9206i −0.192478 1.21562i
\(567\) −12.1607 0.178521i −0.510703 0.00749717i
\(568\) −31.0943 + 15.8379i −1.30469 + 0.664544i
\(569\) 8.09523 14.0213i 0.339370 0.587805i −0.644945 0.764229i \(-0.723120\pi\)
0.984314 + 0.176424i \(0.0564530\pi\)
\(570\) 3.56949 + 7.79519i 0.149510 + 0.326505i
\(571\) 15.6257 + 27.0645i 0.653914 + 1.13261i 0.982165 + 0.188022i \(0.0602076\pi\)
−0.328251 + 0.944591i \(0.606459\pi\)
\(572\) −19.5473 4.15681i −0.817315 0.173805i
\(573\) 12.8664i 0.537501i
\(574\) 9.18513 + 11.6906i 0.383380 + 0.487955i
\(575\) 30.6927 + 16.8649i 1.27997 + 0.703314i
\(576\) 8.06724 + 18.1329i 0.336135 + 0.755536i
\(577\) 1.08399 + 1.87753i 0.0451271 + 0.0781625i 0.887707 0.460409i \(-0.152297\pi\)
−0.842580 + 0.538572i \(0.818964\pi\)
\(578\) 10.1238 8.19731i 0.421094 0.340963i
\(579\) −14.2694 8.23845i −0.593016 0.342378i
\(580\) 0.952685 + 15.1390i 0.0395581 + 0.628612i
\(581\) 1.06673 1.78654i 0.0442553 0.0741183i
\(582\) 2.63475 + 16.6401i 0.109214 + 0.689756i
\(583\) 11.4453 19.8238i 0.474014 0.821017i
\(584\) −7.99216 + 12.3031i −0.330718 + 0.509106i
\(585\) −13.6429 + 3.81074i −0.564065 + 0.157555i
\(586\) 15.4785 40.3173i 0.639411 1.66549i
\(587\) −30.3449 −1.25247 −0.626235 0.779634i \(-0.715405\pi\)
−0.626235 + 0.779634i \(0.715405\pi\)
\(588\) 9.68162 2.83341i 0.399263 0.116848i
\(589\) 11.9854i 0.493850i
\(590\) −21.6853 + 30.5180i −0.892768 + 1.25641i
\(591\) −4.92452 8.52952i −0.202568 0.350857i
\(592\) 6.21725 + 2.76948i 0.255527 + 0.113825i
\(593\) −18.6695 + 32.3365i −0.766664 + 1.32790i 0.172699 + 0.984975i \(0.444751\pi\)
−0.939363 + 0.342926i \(0.888582\pi\)
\(594\) −3.41782 21.5857i −0.140235 0.885673i
\(595\) −21.5048 + 21.3291i −0.881609 + 0.874410i
\(596\) −14.3910 44.3049i −0.589478 1.81480i
\(597\) −8.25095 + 14.2911i −0.337689 + 0.584895i
\(598\) 15.9170 + 19.6578i 0.650896 + 0.803865i
\(599\) 12.2174 7.05370i 0.499188 0.288206i −0.229190 0.973382i \(-0.573608\pi\)
0.728378 + 0.685175i \(0.240274\pi\)
\(600\) −8.66092 5.36910i −0.353581 0.219192i
\(601\) 19.7058i 0.803815i −0.915680 0.401907i \(-0.868347\pi\)
0.915680 0.401907i \(-0.131653\pi\)
\(602\) 2.07761 + 2.64431i 0.0846769 + 0.107774i
\(603\) 7.67982i 0.312747i
\(604\) −19.4703 4.14042i −0.792235 0.168471i
\(605\) −2.59404 9.28698i −0.105463 0.377569i
\(606\) 9.52689 7.71399i 0.387003 0.313359i
\(607\) −28.1585 16.2573i −1.14292 0.659865i −0.195768 0.980650i \(-0.562720\pi\)
−0.947152 + 0.320785i \(0.896053\pi\)
\(608\) 15.0542 15.0472i 0.610529 0.610246i
\(609\) 0.0949153 6.46557i 0.00384616 0.261998i
\(610\) 3.53619 37.4333i 0.143176 1.51563i
\(611\) −8.32176 + 14.4137i −0.336662 + 0.583116i
\(612\) 18.8757 + 16.9989i 0.763004 + 0.687140i
\(613\) −6.14971 10.6516i −0.248384 0.430214i 0.714693 0.699438i \(-0.246566\pi\)
−0.963078 + 0.269224i \(0.913233\pi\)
\(614\) 9.44605 + 3.62650i 0.381212 + 0.146354i
\(615\) −1.59145 + 6.20106i −0.0641736 + 0.250051i
\(616\) −12.9061 26.2853i −0.520001 1.05907i
\(617\) 16.0440i 0.645909i −0.946415 0.322954i \(-0.895324\pi\)
0.946415 0.322954i \(-0.104676\pi\)
\(618\) 0.0557394 0.145186i 0.00224217 0.00584024i
\(619\) −20.5927 + 11.8892i −0.827691 + 0.477868i −0.853061 0.521810i \(-0.825257\pi\)
0.0253703 + 0.999678i \(0.491924\pi\)
\(620\) −7.88338 11.8651i −0.316604 0.476513i
\(621\) −13.8305 + 23.9551i −0.554997 + 0.961284i
\(622\) −2.03772 12.8695i −0.0817052 0.516021i
\(623\) −1.81409 + 1.01216i −0.0726801 + 0.0405512i
\(624\) −4.32489 5.95502i −0.173134 0.238392i
\(625\) −24.9776 + 1.05759i −0.999105 + 0.0423038i
\(626\) −11.3296 + 9.17367i −0.452823 + 0.366654i
\(627\) −9.18782 + 5.30459i −0.366926 + 0.211845i
\(628\) 22.5371 + 4.79259i 0.899329 + 0.191245i
\(629\) 8.71136 0.347345
\(630\) −16.7412 12.2695i −0.666984 0.488830i
\(631\) 20.0177i 0.796893i −0.917192 0.398447i \(-0.869549\pi\)
0.917192 0.398447i \(-0.130451\pi\)
\(632\) 1.51620 28.8542i 0.0603112 1.14776i
\(633\) −1.37140 2.37533i −0.0545082 0.0944109i
\(634\) −36.7685 + 29.7717i −1.46026 + 1.18239i
\(635\) −21.5341 + 21.9946i −0.854554 + 0.872829i
\(636\) 8.01771 2.60429i 0.317923 0.103267i
\(637\) 15.7357 8.47913i 0.623470 0.335956i
\(638\) −18.5395 + 2.93549i −0.733985 + 0.116217i
\(639\) −26.5062 15.3034i −1.04857 0.605392i
\(640\) −5.00576 + 24.7980i −0.197870 + 0.980228i
\(641\) −0.346690 0.600484i −0.0136934 0.0237177i 0.859097 0.511812i \(-0.171026\pi\)
−0.872791 + 0.488094i \(0.837692\pi\)
\(642\) −0.583725 + 1.52045i −0.0230378 + 0.0600072i
\(643\) 42.2717 1.66703 0.833516 0.552495i \(-0.186324\pi\)
0.833516 + 0.552495i \(0.186324\pi\)
\(644\) −8.24041 + 36.1350i −0.324718 + 1.42392i
\(645\) −0.359974 + 1.40263i −0.0141740 + 0.0552286i
\(646\) 9.76419 25.4331i 0.384167 1.00065i
\(647\) −30.8701 + 17.8229i −1.21363 + 0.700690i −0.963548 0.267535i \(-0.913791\pi\)
−0.250082 + 0.968225i \(0.580458\pi\)
\(648\) −7.08278 + 10.9032i −0.278238 + 0.428319i
\(649\) −40.1201 23.1634i −1.57485 0.909242i
\(650\) −16.9898 6.11348i −0.666395 0.239790i
\(651\) 2.95874 + 5.30296i 0.115962 + 0.207839i
\(652\) −4.85153 14.9362i −0.190001 0.584946i
\(653\) −1.40762 + 2.43807i −0.0550845 + 0.0954091i −0.892253 0.451536i \(-0.850876\pi\)
0.837168 + 0.546945i \(0.184209\pi\)
\(654\) 10.0487 + 12.4102i 0.392934 + 0.485279i
\(655\) 20.1641 5.63224i 0.787876 0.220070i
\(656\) 15.8070 1.65843i 0.617161 0.0647507i
\(657\) −12.8680 −0.502028
\(658\) −24.1408 + 3.45995i −0.941106 + 0.134883i
\(659\) 8.69907 0.338868 0.169434 0.985542i \(-0.445806\pi\)
0.169434 + 0.985542i \(0.445806\pi\)
\(660\) 5.60648 11.2946i 0.218232 0.439641i
\(661\) −13.7443 23.8058i −0.534591 0.925939i −0.999183 0.0404142i \(-0.987132\pi\)
0.464592 0.885525i \(-0.346201\pi\)
\(662\) −0.287710 + 0.232961i −0.0111822 + 0.00905428i
\(663\) −8.15793 4.70998i −0.316828 0.182921i
\(664\) −1.00960 1.98214i −0.0391802 0.0769218i
\(665\) −5.84951 + 21.4780i −0.226834 + 0.832882i
\(666\) 0.933592 + 5.89624i 0.0361760 + 0.228474i
\(667\) 20.5745 + 11.8787i 0.796646 + 0.459944i
\(668\) 23.6985 26.3150i 0.916924 1.01816i
\(669\) 9.45702 5.46001i 0.365630 0.211096i
\(670\) −5.67036 + 7.98000i −0.219065 + 0.308294i
\(671\) 46.5272 1.79616
\(672\) 2.94616 10.3740i 0.113651 0.400185i
\(673\) 12.1015i 0.466480i 0.972419 + 0.233240i \(0.0749328\pi\)
−0.972419 + 0.233240i \(0.925067\pi\)
\(674\) 6.97181 18.1597i 0.268544 0.699484i
\(675\) −0.417759 19.7416i −0.0160795 0.759854i
\(676\) 9.62953 + 8.67208i 0.370366 + 0.333541i
\(677\) −5.13926 2.96715i −0.197518 0.114037i 0.397979 0.917394i \(-0.369712\pi\)
−0.595497 + 0.803357i \(0.703045\pi\)
\(678\) −8.22969 + 1.30306i −0.316059 + 0.0500439i
\(679\) −22.4249 + 37.5569i −0.860589 + 1.44130i
\(680\) 7.06240 + 31.6001i 0.270831 + 1.21181i
\(681\) −4.26769 + 7.39186i −0.163538 + 0.283257i
\(682\) 13.6996 11.0927i 0.524586 0.424761i
\(683\) −15.2951 + 8.83063i −0.585250 + 0.337894i −0.763217 0.646142i \(-0.776381\pi\)
0.177967 + 0.984036i \(0.443048\pi\)
\(684\) 18.2607 + 3.88319i 0.698213 + 0.148477i
\(685\) −10.3620 + 40.3752i −0.395910 + 1.54266i
\(686\) 24.0146 + 10.4547i 0.916880 + 0.399162i
\(687\) −0.349524 −0.0133352
\(688\) 3.57543 0.375123i 0.136312 0.0143014i
\(689\) 12.9363 7.46876i 0.492833 0.284537i
\(690\) −14.5107 + 6.64456i −0.552411 + 0.252954i
\(691\) 11.4396 + 6.60468i 0.435184 + 0.251254i 0.701553 0.712617i \(-0.252490\pi\)
−0.266368 + 0.963871i \(0.585824\pi\)
\(692\) −2.64737 8.15034i −0.100638 0.309830i
\(693\) 13.1671 22.0520i 0.500176 0.837687i
\(694\) −40.1790 + 6.36181i −1.52517 + 0.241491i
\(695\) −7.20519 7.05433i −0.273308 0.267586i
\(696\) −5.79698 3.76575i −0.219734 0.142740i
\(697\) 17.6173 10.1714i 0.667304 0.385268i
\(698\) 31.6192 + 12.1392i 1.19681 + 0.459474i
\(699\) 18.9836i 0.718027i
\(700\) −8.33636 25.1099i −0.315085 0.949064i
\(701\) 6.75429i 0.255106i 0.991832 + 0.127553i \(0.0407123\pi\)
−0.991832 + 0.127553i \(0.959288\pi\)
\(702\) 5.11150 13.3141i 0.192921 0.502507i
\(703\) 5.54462 3.20119i 0.209119 0.120735i
\(704\) −31.1323 3.28088i −1.17334 0.123653i
\(705\) −7.50384 7.34673i −0.282611 0.276694i
\(706\) 5.30502 + 33.5046i 0.199657 + 1.26096i
\(707\) 31.8240 + 0.467180i 1.19686 + 0.0175701i
\(708\) −5.27067 16.2266i −0.198084 0.609831i
\(709\) 34.2027 + 19.7470i 1.28451 + 0.741612i 0.977669 0.210148i \(-0.0673947\pi\)
0.306841 + 0.951761i \(0.400728\pi\)
\(710\) −16.2431 35.4723i −0.609592 1.33125i
\(711\) 21.9475 12.6714i 0.823097 0.475215i
\(712\) −0.116535 + 2.21772i −0.00436733 + 0.0831127i
\(713\) −22.3107 −0.835542
\(714\) −1.95828 13.6633i −0.0732866 0.511336i
\(715\) 5.55423 21.6419i 0.207716 0.809362i
\(716\) 5.71007 26.8515i 0.213395 1.00349i
\(717\) −1.11326 + 0.642743i −0.0415756 + 0.0240037i
\(718\) −15.7532 19.4554i −0.587902 0.726068i
\(719\) −4.16021 + 7.20569i −0.155150 + 0.268727i −0.933113 0.359582i \(-0.882919\pi\)
0.777964 + 0.628309i \(0.216253\pi\)
\(720\) −20.6315 + 8.16671i −0.768889 + 0.304355i
\(721\) 0.352614 0.196738i 0.0131320 0.00732690i
\(722\) 1.07094 + 6.76367i 0.0398562 + 0.251718i
\(723\) −5.25879 3.03616i −0.195577 0.112916i
\(724\) 13.9708 + 12.5817i 0.519220 + 0.467595i
\(725\) −16.9556 + 0.358803i −0.629715 + 0.0133256i
\(726\) 4.10229 + 1.57494i 0.152250 + 0.0584515i
\(727\) 12.2319i 0.453654i 0.973935 + 0.226827i \(0.0728353\pi\)
−0.973935 + 0.226827i \(0.927165\pi\)
\(728\) 1.28273 19.0658i 0.0475412 0.706627i
\(729\) −2.86701 −0.106186
\(730\) −13.3709 9.50101i −0.494881 0.351648i
\(731\) 3.98490 2.30069i 0.147387 0.0850939i
\(732\) 12.7327 + 11.4667i 0.470613 + 0.423821i
\(733\) 18.7710 + 10.8375i 0.693324 + 0.400291i 0.804856 0.593470i \(-0.202242\pi\)
−0.111532 + 0.993761i \(0.535576\pi\)
\(734\) 18.2806 2.89449i 0.674749 0.106838i
\(735\) 2.71398 + 10.9470i 0.100107 + 0.403786i
\(736\) 28.0103 + 28.0232i 1.03247 + 1.03295i
\(737\) −10.4908 6.05686i −0.386433 0.223107i
\(738\) 8.77248 + 10.8341i 0.322919 + 0.398810i
\(739\) −4.41640 7.64942i −0.162460 0.281389i 0.773291 0.634052i \(-0.218609\pi\)
−0.935750 + 0.352663i \(0.885276\pi\)
\(740\) −3.38337 + 6.81601i −0.124375 + 0.250562i
\(741\) −6.92316 −0.254329
\(742\) 20.3162 + 8.14389i 0.745832 + 0.298972i
\(743\) 10.8875 0.399425 0.199712 0.979855i \(-0.435999\pi\)
0.199712 + 0.979855i \(0.435999\pi\)
\(744\) 6.48286 + 0.340655i 0.237673 + 0.0124890i
\(745\) 50.1619 14.0112i 1.83779 0.513332i
\(746\) −24.2334 + 19.6220i −0.887249 + 0.718412i
\(747\) 0.975528 1.68966i 0.0356927 0.0618216i
\(748\) −38.1075 + 12.3780i −1.39335 + 0.452584i
\(749\) −3.69271 + 2.06032i −0.134929 + 0.0752823i
\(750\) 6.40117 9.42462i 0.233738 0.344138i
\(751\) 16.9728 + 9.79926i 0.619347 + 0.357580i 0.776615 0.629976i \(-0.216935\pi\)
−0.157268 + 0.987556i \(0.550269\pi\)
\(752\) −10.6086 + 23.8154i −0.386855 + 0.868457i
\(753\) 12.4723 7.20086i 0.454514 0.262414i
\(754\) −11.4351 4.39015i −0.416443 0.159880i
\(755\) 5.53234 21.5566i 0.201342 0.784525i
\(756\) 19.9676 6.16332i 0.726216 0.224158i
\(757\) −29.5411 −1.07369 −0.536845 0.843681i \(-0.680384\pi\)
−0.536845 + 0.843681i \(0.680384\pi\)
\(758\) −24.9171 9.56612i −0.905032 0.347457i
\(759\) −9.87442 17.1030i −0.358419 0.620800i
\(760\) 16.1073 + 17.5176i 0.584272 + 0.635431i
\(761\) 19.6992 + 11.3734i 0.714097 + 0.412284i 0.812576 0.582855i \(-0.198064\pi\)
−0.0984792 + 0.995139i \(0.531398\pi\)
\(762\) −2.19374 13.8549i −0.0794708 0.501909i
\(763\) −0.608573 + 41.4557i −0.0220318 + 1.50080i
\(764\) −11.0327 33.9657i −0.399148 1.22884i
\(765\) −19.8683 + 20.2932i −0.718342 + 0.733703i
\(766\) −14.6796 18.1295i −0.530396 0.655047i
\(767\) −15.1156 26.1809i −0.545792 0.945339i
\(768\) −7.71111 8.57044i −0.278251 0.309259i
\(769\) 49.3053i 1.77799i 0.457913 + 0.888997i \(0.348597\pi\)
−0.457913 + 0.888997i \(0.651403\pi\)
\(770\) 29.9637 13.1921i 1.07982 0.475411i
\(771\) −0.744264 −0.0268040
\(772\) −44.7339 9.51281i −1.61001 0.342373i
\(773\) −17.7806 + 10.2656i −0.639522 + 0.369228i −0.784430 0.620217i \(-0.787045\pi\)
0.144908 + 0.989445i \(0.453711\pi\)
\(774\) 1.98427 + 2.45060i