Properties

Label 930.2.o.e.161.5
Level $930$
Weight $2$
Character 930.161
Analytic conductor $7.426$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(20\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 161.5
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.15

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000i q^{2} +(-0.151443 - 1.72542i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(-1.72542 + 0.151443i) q^{6} +(-1.64767 - 2.85385i) q^{7} +1.00000i q^{8} +(-2.95413 + 0.522605i) q^{9} +O(q^{10})\) \(q-1.00000i q^{2} +(-0.151443 - 1.72542i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(-1.72542 + 0.151443i) q^{6} +(-1.64767 - 2.85385i) q^{7} +1.00000i q^{8} +(-2.95413 + 0.522605i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-2.34247 + 4.05727i) q^{11} +(0.151443 + 1.72542i) q^{12} +(-3.57649 - 2.06489i) q^{13} +(-2.85385 + 1.64767i) q^{14} +(0.731555 - 1.56998i) q^{15} +1.00000 q^{16} +(3.02223 + 5.23465i) q^{17} +(0.522605 + 2.95413i) q^{18} +(-1.11458 - 1.93051i) q^{19} +(-0.866025 - 0.500000i) q^{20} +(-4.67456 + 3.27512i) q^{21} +(4.05727 + 2.34247i) q^{22} -0.244780 q^{23} +(1.72542 - 0.151443i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-2.06489 + 3.57649i) q^{26} +(1.34909 + 5.01796i) q^{27} +(1.64767 + 2.85385i) q^{28} -2.05814 q^{29} +(-1.56998 - 0.731555i) q^{30} +(-5.16785 - 2.07204i) q^{31} -1.00000i q^{32} +(7.35524 + 3.42729i) q^{33} +(5.23465 - 3.02223i) q^{34} -3.29535i q^{35} +(2.95413 - 0.522605i) q^{36} +(-7.39979 + 4.27227i) q^{37} +(-1.93051 + 1.11458i) q^{38} +(-3.02115 + 6.48364i) q^{39} +(-0.500000 + 0.866025i) q^{40} +(-6.83739 - 3.94757i) q^{41} +(3.27512 + 4.67456i) q^{42} +(10.0366 - 5.79463i) q^{43} +(2.34247 - 4.05727i) q^{44} +(-2.81965 - 1.02448i) q^{45} +0.244780i q^{46} +3.99299i q^{47} +(-0.151443 - 1.72542i) q^{48} +(-1.92965 + 3.34226i) q^{49} +(0.866025 - 0.500000i) q^{50} +(8.57426 - 6.00736i) q^{51} +(3.57649 + 2.06489i) q^{52} +(-0.996554 + 1.72608i) q^{53} +(5.01796 - 1.34909i) q^{54} +(-4.05727 + 2.34247i) q^{55} +(2.85385 - 1.64767i) q^{56} +(-3.16214 + 2.21548i) q^{57} +2.05814i q^{58} +(0.641535 - 0.370390i) q^{59} +(-0.731555 + 1.56998i) q^{60} +6.30131i q^{61} +(-2.07204 + 5.16785i) q^{62} +(6.35888 + 7.56957i) q^{63} -1.00000 q^{64} +(-2.06489 - 3.57649i) q^{65} +(3.42729 - 7.35524i) q^{66} +(1.90767 - 3.30418i) q^{67} +(-3.02223 - 5.23465i) q^{68} +(0.0370703 + 0.422348i) q^{69} -3.29535 q^{70} +(-8.36971 - 4.83225i) q^{71} +(-0.522605 - 2.95413i) q^{72} +(0.290365 + 0.167642i) q^{73} +(4.27227 + 7.39979i) q^{74} +(1.41853 - 0.993862i) q^{75} +(1.11458 + 1.93051i) q^{76} +15.4385 q^{77} +(6.48364 + 3.02115i) q^{78} +(-11.1206 + 6.42046i) q^{79} +(0.866025 + 0.500000i) q^{80} +(8.45377 - 3.08769i) q^{81} +(-3.94757 + 6.83739i) q^{82} +(1.42255 - 2.46393i) q^{83} +(4.67456 - 3.27512i) q^{84} +6.04445i q^{85} +(-5.79463 - 10.0366i) q^{86} +(0.311692 + 3.55116i) q^{87} +(-4.05727 - 2.34247i) q^{88} +0.149606 q^{89} +(-1.02448 + 2.81965i) q^{90} +13.6090i q^{91} +0.244780 q^{92} +(-2.79250 + 9.23049i) q^{93} +3.99299 q^{94} -2.22916i q^{95} +(-1.72542 + 0.151443i) q^{96} -7.67331 q^{97} +(3.34226 + 1.92965i) q^{98} +(4.79960 - 13.2099i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + O(q^{10}) \) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + 20q^{10} - 6q^{12} - 12q^{13} + 40q^{16} - 12q^{18} - 12q^{19} + 12q^{21} - 24q^{22} + 20q^{25} + 12q^{28} + 8q^{31} + 52q^{33} + 24q^{34} + 2q^{36} + 60q^{37} - 8q^{39} - 20q^{40} + 12q^{42} + 24q^{43} - 12q^{45} + 6q^{48} - 4q^{49} + 14q^{51} + 12q^{52} + 24q^{55} - 12q^{57} - 40q^{64} + 8q^{66} + 64q^{67} - 26q^{69} - 24q^{70} + 12q^{72} + 6q^{75} + 12q^{76} - 68q^{78} - 48q^{79} + 2q^{81} + 4q^{82} - 12q^{84} + 36q^{87} + 24q^{88} + 2q^{90} - 22q^{93} - 40q^{94} + 8q^{97} - 90q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) −0.151443 1.72542i −0.0874357 0.996170i
\(4\) −1.00000 −0.500000
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) −1.72542 + 0.151443i −0.704399 + 0.0618264i
\(7\) −1.64767 2.85385i −0.622762 1.07866i −0.988969 0.148122i \(-0.952677\pi\)
0.366207 0.930533i \(-0.380656\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −2.95413 + 0.522605i −0.984710 + 0.174202i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) −2.34247 + 4.05727i −0.706281 + 1.22331i 0.259947 + 0.965623i \(0.416295\pi\)
−0.966227 + 0.257691i \(0.917038\pi\)
\(12\) 0.151443 + 1.72542i 0.0437179 + 0.498085i
\(13\) −3.57649 2.06489i −0.991939 0.572696i −0.0860855 0.996288i \(-0.527436\pi\)
−0.905853 + 0.423592i \(0.860769\pi\)
\(14\) −2.85385 + 1.64767i −0.762725 + 0.440359i
\(15\) 0.731555 1.56998i 0.188887 0.405366i
\(16\) 1.00000 0.250000
\(17\) 3.02223 + 5.23465i 0.732998 + 1.26959i 0.955596 + 0.294679i \(0.0952128\pi\)
−0.222598 + 0.974910i \(0.571454\pi\)
\(18\) 0.522605 + 2.95413i 0.123179 + 0.696295i
\(19\) −1.11458 1.93051i −0.255702 0.442889i 0.709384 0.704822i \(-0.248973\pi\)
−0.965086 + 0.261933i \(0.915640\pi\)
\(20\) −0.866025 0.500000i −0.193649 0.111803i
\(21\) −4.67456 + 3.27512i −1.02007 + 0.714690i
\(22\) 4.05727 + 2.34247i 0.865014 + 0.499416i
\(23\) −0.244780 −0.0510402 −0.0255201 0.999674i \(-0.508124\pi\)
−0.0255201 + 0.999674i \(0.508124\pi\)
\(24\) 1.72542 0.151443i 0.352199 0.0309132i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) −2.06489 + 3.57649i −0.404957 + 0.701407i
\(27\) 1.34909 + 5.01796i 0.259633 + 0.965707i
\(28\) 1.64767 + 2.85385i 0.311381 + 0.539328i
\(29\) −2.05814 −0.382188 −0.191094 0.981572i \(-0.561203\pi\)
−0.191094 + 0.981572i \(0.561203\pi\)
\(30\) −1.56998 0.731555i −0.286637 0.133563i
\(31\) −5.16785 2.07204i −0.928173 0.372149i
\(32\) 1.00000i 0.176777i
\(33\) 7.35524 + 3.42729i 1.28038 + 0.596614i
\(34\) 5.23465 3.02223i 0.897735 0.518308i
\(35\) 3.29535i 0.557015i
\(36\) 2.95413 0.522605i 0.492355 0.0871009i
\(37\) −7.39979 + 4.27227i −1.21652 + 0.702357i −0.964172 0.265280i \(-0.914536\pi\)
−0.252347 + 0.967637i \(0.581202\pi\)
\(38\) −1.93051 + 1.11458i −0.313170 + 0.180809i
\(39\) −3.02115 + 6.48364i −0.483772 + 1.03821i
\(40\) −0.500000 + 0.866025i −0.0790569 + 0.136931i
\(41\) −6.83739 3.94757i −1.06782 0.616507i −0.140236 0.990118i \(-0.544786\pi\)
−0.927585 + 0.373611i \(0.878119\pi\)
\(42\) 3.27512 + 4.67456i 0.505362 + 0.721300i
\(43\) 10.0366 5.79463i 1.53057 0.883672i 0.531230 0.847228i \(-0.321730\pi\)
0.999336 0.0364445i \(-0.0116032\pi\)
\(44\) 2.34247 4.05727i 0.353140 0.611657i
\(45\) −2.81965 1.02448i −0.420329 0.152720i
\(46\) 0.244780i 0.0360909i
\(47\) 3.99299i 0.582437i 0.956656 + 0.291219i \(0.0940607\pi\)
−0.956656 + 0.291219i \(0.905939\pi\)
\(48\) −0.151443 1.72542i −0.0218589 0.249043i
\(49\) −1.92965 + 3.34226i −0.275665 + 0.477466i
\(50\) 0.866025 0.500000i 0.122474 0.0707107i
\(51\) 8.57426 6.00736i 1.20064 0.841198i
\(52\) 3.57649 + 2.06489i 0.495969 + 0.286348i
\(53\) −0.996554 + 1.72608i −0.136887 + 0.237096i −0.926317 0.376746i \(-0.877043\pi\)
0.789430 + 0.613841i \(0.210376\pi\)
\(54\) 5.01796 1.34909i 0.682858 0.183589i
\(55\) −4.05727 + 2.34247i −0.547083 + 0.315858i
\(56\) 2.85385 1.64767i 0.381362 0.220180i
\(57\) −3.16214 + 2.21548i −0.418835 + 0.293447i
\(58\) 2.05814i 0.270247i
\(59\) 0.641535 0.370390i 0.0835207 0.0482207i −0.457658 0.889128i \(-0.651312\pi\)
0.541179 + 0.840908i \(0.317978\pi\)
\(60\) −0.731555 + 1.56998i −0.0944434 + 0.202683i
\(61\) 6.30131i 0.806801i 0.915024 + 0.403400i \(0.132172\pi\)
−0.915024 + 0.403400i \(0.867828\pi\)
\(62\) −2.07204 + 5.16785i −0.263149 + 0.656317i
\(63\) 6.35888 + 7.56957i 0.801144 + 0.953676i
\(64\) −1.00000 −0.125000
\(65\) −2.06489 3.57649i −0.256117 0.443608i
\(66\) 3.42729 7.35524i 0.421870 0.905367i
\(67\) 1.90767 3.30418i 0.233059 0.403669i −0.725648 0.688066i \(-0.758460\pi\)
0.958707 + 0.284397i \(0.0917933\pi\)
\(68\) −3.02223 5.23465i −0.366499 0.634795i
\(69\) 0.0370703 + 0.422348i 0.00446273 + 0.0508447i
\(70\) −3.29535 −0.393869
\(71\) −8.36971 4.83225i −0.993302 0.573483i −0.0870422 0.996205i \(-0.527741\pi\)
−0.906260 + 0.422722i \(0.861075\pi\)
\(72\) −0.522605 2.95413i −0.0615896 0.348148i
\(73\) 0.290365 + 0.167642i 0.0339847 + 0.0196211i 0.516896 0.856048i \(-0.327087\pi\)
−0.482911 + 0.875669i \(0.660421\pi\)
\(74\) 4.27227 + 7.39979i 0.496642 + 0.860208i
\(75\) 1.41853 0.993862i 0.163798 0.114761i
\(76\) 1.11458 + 1.93051i 0.127851 + 0.221444i
\(77\) 15.4385 1.75938
\(78\) 6.48364 + 3.02115i 0.734128 + 0.342078i
\(79\) −11.1206 + 6.42046i −1.25116 + 0.722358i −0.971340 0.237695i \(-0.923608\pi\)
−0.279820 + 0.960052i \(0.590275\pi\)
\(80\) 0.866025 + 0.500000i 0.0968246 + 0.0559017i
\(81\) 8.45377 3.08769i 0.939308 0.343076i
\(82\) −3.94757 + 6.83739i −0.435936 + 0.755063i
\(83\) 1.42255 2.46393i 0.156145 0.270451i −0.777330 0.629093i \(-0.783427\pi\)
0.933475 + 0.358642i \(0.116760\pi\)
\(84\) 4.67456 3.27512i 0.510036 0.357345i
\(85\) 6.04445i 0.655613i
\(86\) −5.79463 10.0366i −0.624851 1.08227i
\(87\) 0.311692 + 3.55116i 0.0334168 + 0.380724i
\(88\) −4.05727 2.34247i −0.432507 0.249708i
\(89\) 0.149606 0.0158582 0.00792909 0.999969i \(-0.497476\pi\)
0.00792909 + 0.999969i \(0.497476\pi\)
\(90\) −1.02448 + 2.81965i −0.107989 + 0.297218i
\(91\) 13.6090i 1.42661i
\(92\) 0.244780 0.0255201
\(93\) −2.79250 + 9.23049i −0.289568 + 0.957157i
\(94\) 3.99299 0.411845
\(95\) 2.22916i 0.228707i
\(96\) −1.72542 + 0.151443i −0.176100 + 0.0154566i
\(97\) −7.67331 −0.779107 −0.389553 0.921004i \(-0.627371\pi\)
−0.389553 + 0.921004i \(0.627371\pi\)
\(98\) 3.34226 + 1.92965i 0.337619 + 0.194925i
\(99\) 4.79960 13.2099i 0.482378 1.32764i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 5.06959i 0.504443i 0.967669 + 0.252222i \(0.0811612\pi\)
−0.967669 + 0.252222i \(0.918839\pi\)
\(102\) −6.00736 8.57426i −0.594817 0.848978i
\(103\) 9.37875 16.2445i 0.924115 1.60061i 0.131138 0.991364i \(-0.458137\pi\)
0.792978 0.609251i \(-0.208530\pi\)
\(104\) 2.06489 3.57649i 0.202479 0.350703i
\(105\) −5.68585 + 0.499058i −0.554882 + 0.0487030i
\(106\) 1.72608 + 0.996554i 0.167652 + 0.0967939i
\(107\) 3.66151 2.11397i 0.353971 0.204366i −0.312462 0.949930i \(-0.601154\pi\)
0.666433 + 0.745565i \(0.267820\pi\)
\(108\) −1.34909 5.01796i −0.129817 0.482854i
\(109\) 5.84653 0.559996 0.279998 0.960001i \(-0.409666\pi\)
0.279998 + 0.960001i \(0.409666\pi\)
\(110\) 2.34247 + 4.05727i 0.223346 + 0.386846i
\(111\) 8.49210 + 12.1207i 0.806034 + 1.15045i
\(112\) −1.64767 2.85385i −0.155690 0.269664i
\(113\) −5.58805 3.22626i −0.525679 0.303501i 0.213576 0.976926i \(-0.431489\pi\)
−0.739255 + 0.673425i \(0.764822\pi\)
\(114\) 2.21548 + 3.16214i 0.207498 + 0.296161i
\(115\) −0.211986 0.122390i −0.0197678 0.0114129i
\(116\) 2.05814 0.191094
\(117\) 11.6445 + 4.23085i 1.07654 + 0.391142i
\(118\) −0.370390 0.641535i −0.0340972 0.0590580i
\(119\) 9.95929 17.2500i 0.912966 1.58130i
\(120\) 1.56998 + 0.731555i 0.143319 + 0.0667815i
\(121\) −5.47431 9.48178i −0.497665 0.861980i
\(122\) 6.30131 0.570494
\(123\) −5.77573 + 12.3952i −0.520780 + 1.11764i
\(124\) 5.16785 + 2.07204i 0.464086 + 0.186075i
\(125\) 1.00000i 0.0894427i
\(126\) 7.56957 6.35888i 0.674351 0.566494i
\(127\) 0.366646 0.211683i 0.0325346 0.0187839i −0.483644 0.875265i \(-0.660687\pi\)
0.516179 + 0.856481i \(0.327354\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) −11.5181 16.4397i −1.01411 1.44744i
\(130\) −3.57649 + 2.06489i −0.313679 + 0.181102i
\(131\) 1.79983 1.03913i 0.157252 0.0907895i −0.419309 0.907844i \(-0.637728\pi\)
0.576561 + 0.817054i \(0.304394\pi\)
\(132\) −7.35524 3.42729i −0.640191 0.298307i
\(133\) −3.67293 + 6.36169i −0.318483 + 0.551629i
\(134\) −3.30418 1.90767i −0.285437 0.164797i
\(135\) −1.34063 + 5.02023i −0.115383 + 0.432073i
\(136\) −5.23465 + 3.02223i −0.448868 + 0.259154i
\(137\) −9.76518 + 16.9138i −0.834296 + 1.44504i 0.0603063 + 0.998180i \(0.480792\pi\)
−0.894602 + 0.446863i \(0.852541\pi\)
\(138\) 0.422348 0.0370703i 0.0359526 0.00315563i
\(139\) 22.5295i 1.91092i −0.295114 0.955462i \(-0.595358\pi\)
0.295114 0.955462i \(-0.404642\pi\)
\(140\) 3.29535i 0.278508i
\(141\) 6.88957 0.604711i 0.580207 0.0509258i
\(142\) −4.83225 + 8.36971i −0.405514 + 0.702370i
\(143\) 16.7556 9.67385i 1.40117 0.808968i
\(144\) −2.95413 + 0.522605i −0.246177 + 0.0435504i
\(145\) −1.78240 1.02907i −0.148021 0.0854597i
\(146\) 0.167642 0.290365i 0.0138742 0.0240308i
\(147\) 6.05903 + 2.82330i 0.499740 + 0.232862i
\(148\) 7.39979 4.27227i 0.608259 0.351179i
\(149\) −13.4165 + 7.74601i −1.09912 + 0.634578i −0.935990 0.352027i \(-0.885493\pi\)
−0.163131 + 0.986604i \(0.552159\pi\)
\(150\) −0.993862 1.41853i −0.0811485 0.115823i
\(151\) 18.2693i 1.48673i 0.668884 + 0.743367i \(0.266772\pi\)
−0.668884 + 0.743367i \(0.733228\pi\)
\(152\) 1.93051 1.11458i 0.156585 0.0904043i
\(153\) −11.6637 13.8844i −0.942955 1.12249i
\(154\) 15.4385i 1.24407i
\(155\) −3.43947 4.37836i −0.276265 0.351679i
\(156\) 3.02115 6.48364i 0.241886 0.519107i
\(157\) −18.3537 −1.46478 −0.732391 0.680885i \(-0.761596\pi\)
−0.732391 + 0.680885i \(0.761596\pi\)
\(158\) 6.42046 + 11.1206i 0.510784 + 0.884704i
\(159\) 3.12913 + 1.45807i 0.248156 + 0.115632i
\(160\) 0.500000 0.866025i 0.0395285 0.0684653i
\(161\) 0.403318 + 0.698566i 0.0317859 + 0.0550548i
\(162\) −3.08769 8.45377i −0.242592 0.664191i
\(163\) 1.70445 0.133503 0.0667515 0.997770i \(-0.478737\pi\)
0.0667515 + 0.997770i \(0.478737\pi\)
\(164\) 6.83739 + 3.94757i 0.533910 + 0.308253i
\(165\) 4.65618 + 6.64574i 0.362483 + 0.517370i
\(166\) −2.46393 1.42255i −0.191238 0.110411i
\(167\) −6.28618 10.8880i −0.486439 0.842537i 0.513439 0.858126i \(-0.328371\pi\)
−0.999878 + 0.0155887i \(0.995038\pi\)
\(168\) −3.27512 4.67456i −0.252681 0.360650i
\(169\) 2.02750 + 3.51174i 0.155962 + 0.270134i
\(170\) 6.04445 0.463588
\(171\) 4.30151 + 5.12049i 0.328944 + 0.391573i
\(172\) −10.0366 + 5.79463i −0.765283 + 0.441836i
\(173\) −2.25868 1.30405i −0.171724 0.0991450i 0.411674 0.911331i \(-0.364944\pi\)
−0.583399 + 0.812186i \(0.698277\pi\)
\(174\) 3.55116 0.311692i 0.269212 0.0236293i
\(175\) 1.64767 2.85385i 0.124552 0.215731i
\(176\) −2.34247 + 4.05727i −0.176570 + 0.305828i
\(177\) −0.736234 1.05082i −0.0553387 0.0789846i
\(178\) 0.149606i 0.0112134i
\(179\) −9.49768 16.4505i −0.709890 1.22957i −0.964898 0.262626i \(-0.915411\pi\)
0.255008 0.966939i \(-0.417922\pi\)
\(180\) 2.81965 + 1.02448i 0.210165 + 0.0763599i
\(181\) −14.3763 8.30014i −1.06858 0.616944i −0.140786 0.990040i \(-0.544963\pi\)
−0.927793 + 0.373096i \(0.878296\pi\)
\(182\) 13.6090 1.00877
\(183\) 10.8724 0.954291i 0.803711 0.0705432i
\(184\) 0.244780i 0.0180454i
\(185\) −8.54454 −0.628207
\(186\) 9.23049 + 2.79250i 0.676812 + 0.204756i
\(187\) −28.3179 −2.07081
\(188\) 3.99299i 0.291219i
\(189\) 12.0977 12.1181i 0.879975 0.881461i
\(190\) −2.22916 −0.161720
\(191\) −14.6036 8.43140i −1.05668 0.610074i −0.132168 0.991227i \(-0.542194\pi\)
−0.924512 + 0.381153i \(0.875527\pi\)
\(192\) 0.151443 + 1.72542i 0.0109295 + 0.124521i
\(193\) −3.46345 5.99887i −0.249305 0.431808i 0.714028 0.700117i \(-0.246869\pi\)
−0.963333 + 0.268308i \(0.913535\pi\)
\(194\) 7.67331i 0.550912i
\(195\) −5.85822 + 4.10442i −0.419516 + 0.293924i
\(196\) 1.92965 3.34226i 0.137832 0.238733i
\(197\) −7.40933 + 12.8333i −0.527893 + 0.914337i 0.471579 + 0.881824i \(0.343684\pi\)
−0.999471 + 0.0325129i \(0.989649\pi\)
\(198\) −13.2099 4.79960i −0.938787 0.341093i
\(199\) −16.4647 9.50589i −1.16715 0.673855i −0.214143 0.976802i \(-0.568696\pi\)
−0.953007 + 0.302947i \(0.902029\pi\)
\(200\) −0.866025 + 0.500000i −0.0612372 + 0.0353553i
\(201\) −5.98999 2.79113i −0.422501 0.196871i
\(202\) 5.06959 0.356695
\(203\) 3.39115 + 5.87364i 0.238012 + 0.412249i
\(204\) −8.57426 + 6.00736i −0.600318 + 0.420599i
\(205\) −3.94757 6.83739i −0.275710 0.477544i
\(206\) −16.2445 9.37875i −1.13181 0.653448i
\(207\) 0.723112 0.127923i 0.0502598 0.00889129i
\(208\) −3.57649 2.06489i −0.247985 0.143174i
\(209\) 10.4435 0.722390
\(210\) 0.499058 + 5.68585i 0.0344382 + 0.392361i
\(211\) −0.159771 0.276731i −0.0109991 0.0190509i 0.860473 0.509495i \(-0.170168\pi\)
−0.871473 + 0.490444i \(0.836835\pi\)
\(212\) 0.996554 1.72608i 0.0684436 0.118548i
\(213\) −7.07012 + 15.1731i −0.484437 + 1.03964i
\(214\) −2.11397 3.66151i −0.144508 0.250296i
\(215\) 11.5893 0.790381
\(216\) −5.01796 + 1.34909i −0.341429 + 0.0917943i
\(217\) 2.60163 + 18.1623i 0.176610 + 1.23294i
\(218\) 5.84653i 0.395977i
\(219\) 0.245279 0.526389i 0.0165744 0.0355701i
\(220\) 4.05727 2.34247i 0.273541 0.157929i
\(221\) 24.9622i 1.67914i
\(222\) 12.1207 8.49210i 0.813490 0.569952i
\(223\) −1.19955 + 0.692562i −0.0803279 + 0.0463774i −0.539626 0.841905i \(-0.681434\pi\)
0.459298 + 0.888282i \(0.348101\pi\)
\(224\) −2.85385 + 1.64767i −0.190681 + 0.110090i
\(225\) −1.92965 2.29705i −0.128644 0.153137i
\(226\) −3.22626 + 5.58805i −0.214608 + 0.371711i
\(227\) −7.88419 4.55194i −0.523292 0.302123i 0.214988 0.976617i \(-0.431029\pi\)
−0.738281 + 0.674494i \(0.764362\pi\)
\(228\) 3.16214 2.21548i 0.209418 0.146724i
\(229\) 6.91782 3.99401i 0.457143 0.263931i −0.253699 0.967283i \(-0.581647\pi\)
0.710842 + 0.703352i \(0.248314\pi\)
\(230\) −0.122390 + 0.211986i −0.00807016 + 0.0139779i
\(231\) −2.33805 26.6378i −0.153833 1.75264i
\(232\) 2.05814i 0.135124i
\(233\) 15.9529i 1.04511i −0.852606 0.522554i \(-0.824979\pi\)
0.852606 0.522554i \(-0.175021\pi\)
\(234\) 4.23085 11.6445i 0.276579 0.761226i
\(235\) −1.99650 + 3.45803i −0.130237 + 0.225577i
\(236\) −0.641535 + 0.370390i −0.0417603 + 0.0241103i
\(237\) 12.7621 + 18.2153i 0.828987 + 1.18321i
\(238\) −17.2500 9.95929i −1.11815 0.645565i
\(239\) −4.52292 + 7.83393i −0.292564 + 0.506735i −0.974415 0.224756i \(-0.927842\pi\)
0.681852 + 0.731491i \(0.261175\pi\)
\(240\) 0.731555 1.56998i 0.0472217 0.101342i
\(241\) 13.3621 7.71462i 0.860730 0.496943i −0.00352685 0.999994i \(-0.501123\pi\)
0.864257 + 0.503051i \(0.167789\pi\)
\(242\) −9.48178 + 5.47431i −0.609512 + 0.351902i
\(243\) −6.60781 14.1187i −0.423891 0.905713i
\(244\) 6.30131i 0.403400i
\(245\) −3.34226 + 1.92965i −0.213529 + 0.123281i
\(246\) 12.3952 + 5.77573i 0.790288 + 0.368247i
\(247\) 9.20591i 0.585758i
\(248\) 2.07204 5.16785i 0.131575 0.328159i
\(249\) −4.46673 2.08134i −0.283068 0.131900i
\(250\) 1.00000 0.0632456
\(251\) 1.89792 + 3.28729i 0.119795 + 0.207492i 0.919687 0.392653i \(-0.128443\pi\)
−0.799891 + 0.600145i \(0.795109\pi\)
\(252\) −6.35888 7.56957i −0.400572 0.476838i
\(253\) 0.573389 0.993140i 0.0360487 0.0624382i
\(254\) −0.211683 0.366646i −0.0132822 0.0230054i
\(255\) 10.4292 0.915391i 0.653102 0.0573240i
\(256\) 1.00000 0.0625000
\(257\) 26.8650 + 15.5105i 1.67579 + 0.967518i 0.964296 + 0.264828i \(0.0853150\pi\)
0.711495 + 0.702691i \(0.248018\pi\)
\(258\) −16.4397 + 11.5181i −1.02349 + 0.717087i
\(259\) 24.3849 + 14.0786i 1.51520 + 0.874803i
\(260\) 2.06489 + 3.57649i 0.128059 + 0.221804i
\(261\) 6.08002 1.07560i 0.376344 0.0665777i
\(262\) −1.03913 1.79983i −0.0641979 0.111194i
\(263\) 21.5086 1.32627 0.663137 0.748498i \(-0.269225\pi\)
0.663137 + 0.748498i \(0.269225\pi\)
\(264\) −3.42729 + 7.35524i −0.210935 + 0.452684i
\(265\) −1.72608 + 0.996554i −0.106032 + 0.0612178i
\(266\) 6.36169 + 3.67293i 0.390060 + 0.225202i
\(267\) −0.0226568 0.258132i −0.00138657 0.0157975i
\(268\) −1.90767 + 3.30418i −0.116529 + 0.201835i
\(269\) 13.5212 23.4194i 0.824401 1.42791i −0.0779746 0.996955i \(-0.524845\pi\)
0.902376 0.430950i \(-0.141821\pi\)
\(270\) 5.02023 + 1.34063i 0.305521 + 0.0815882i
\(271\) 16.9825i 1.03162i 0.856704 + 0.515808i \(0.172508\pi\)
−0.856704 + 0.515808i \(0.827492\pi\)
\(272\) 3.02223 + 5.23465i 0.183249 + 0.317397i
\(273\) 23.4812 2.06099i 1.42115 0.124737i
\(274\) 16.9138 + 9.76518i 1.02180 + 0.589936i
\(275\) −4.68494 −0.282512
\(276\) −0.0370703 0.422348i −0.00223137 0.0254223i
\(277\) 23.1214i 1.38923i −0.719381 0.694616i \(-0.755574\pi\)
0.719381 0.694616i \(-0.244426\pi\)
\(278\) −22.5295 −1.35123
\(279\) 16.3494 + 3.42033i 0.978810 + 0.204770i
\(280\) 3.29535 0.196935
\(281\) 26.0722i 1.55534i 0.628674 + 0.777669i \(0.283598\pi\)
−0.628674 + 0.777669i \(0.716402\pi\)
\(282\) −0.604711 6.88957i −0.0360100 0.410268i
\(283\) 14.5905 0.867315 0.433657 0.901078i \(-0.357223\pi\)
0.433657 + 0.901078i \(0.357223\pi\)
\(284\) 8.36971 + 4.83225i 0.496651 + 0.286742i
\(285\) −3.84623 + 0.337591i −0.227831 + 0.0199972i
\(286\) −9.67385 16.7556i −0.572027 0.990780i
\(287\) 26.0172i 1.53575i
\(288\) 0.522605 + 2.95413i 0.0307948 + 0.174074i
\(289\) −9.76772 + 16.9182i −0.574571 + 0.995187i
\(290\) −1.02907 + 1.78240i −0.0604292 + 0.104666i
\(291\) 1.16207 + 13.2397i 0.0681218 + 0.776123i
\(292\) −0.290365 0.167642i −0.0169923 0.00981053i
\(293\) −24.7303 + 14.2780i −1.44476 + 0.834132i −0.998162 0.0606026i \(-0.980698\pi\)
−0.446598 + 0.894735i \(0.647364\pi\)
\(294\) 2.82330 6.05903i 0.164658 0.353370i
\(295\) 0.740780 0.0431299
\(296\) −4.27227 7.39979i −0.248321 0.430104i
\(297\) −23.5195 6.28077i −1.36474 0.364447i
\(298\) 7.74601 + 13.4165i 0.448714 + 0.777196i
\(299\) 0.875452 + 0.505443i 0.0506287 + 0.0292305i
\(300\) −1.41853 + 0.993862i −0.0818991 + 0.0573807i
\(301\) −33.0740 19.0953i −1.90636 1.10064i
\(302\) 18.2693 1.05128
\(303\) 8.74716 0.767755i 0.502511 0.0441064i
\(304\) −1.11458 1.93051i −0.0639255 0.110722i
\(305\) −3.15066 + 5.45710i −0.180406 + 0.312473i
\(306\) −13.8844 + 11.6637i −0.793719 + 0.666770i
\(307\) 4.69037 + 8.12397i 0.267694 + 0.463659i 0.968266 0.249922i \(-0.0804051\pi\)
−0.700572 + 0.713582i \(0.747072\pi\)
\(308\) −15.4385 −0.879689
\(309\) −29.4488 13.7221i −1.67529 0.780625i
\(310\) −4.37836 + 3.43947i −0.248674 + 0.195349i
\(311\) 1.63457i 0.0926879i −0.998926 0.0463440i \(-0.985243\pi\)
0.998926 0.0463440i \(-0.0147570\pi\)
\(312\) −6.48364 3.02115i −0.367064 0.171039i
\(313\) 10.6934 6.17384i 0.604427 0.348966i −0.166354 0.986066i \(-0.553200\pi\)
0.770781 + 0.637100i \(0.219866\pi\)
\(314\) 18.3537i 1.03576i
\(315\) 1.72217 + 9.73488i 0.0970330 + 0.548498i
\(316\) 11.1206 6.42046i 0.625580 0.361179i
\(317\) 29.5244 17.0459i 1.65825 0.957393i 0.684732 0.728795i \(-0.259919\pi\)
0.973521 0.228598i \(-0.0734141\pi\)
\(318\) 1.45807 3.12913i 0.0817644 0.175473i
\(319\) 4.82113 8.35045i 0.269932 0.467535i
\(320\) −0.866025 0.500000i −0.0484123 0.0279508i
\(321\) −4.20200 5.99748i −0.234533 0.334747i
\(322\) 0.698566 0.403318i 0.0389296 0.0224760i
\(323\) 6.73702 11.6689i 0.374858 0.649273i
\(324\) −8.45377 + 3.08769i −0.469654 + 0.171538i
\(325\) 4.12977i 0.229078i
\(326\) 1.70445i 0.0944009i
\(327\) −0.885417 10.0877i −0.0489636 0.557851i
\(328\) 3.94757 6.83739i 0.217968 0.377532i
\(329\) 11.3954 6.57914i 0.628249 0.362720i
\(330\) 6.64574 4.65618i 0.365836 0.256314i
\(331\) 19.1972 + 11.0835i 1.05517 + 0.609205i 0.924093 0.382167i \(-0.124822\pi\)
0.131080 + 0.991372i \(0.458155\pi\)
\(332\) −1.42255 + 2.46393i −0.0780725 + 0.135225i
\(333\) 19.6272 16.4880i 1.07557 0.903538i
\(334\) −10.8880 + 6.28618i −0.595764 + 0.343964i
\(335\) 3.30418 1.90767i 0.180526 0.104227i
\(336\) −4.67456 + 3.27512i −0.255018 + 0.178672i
\(337\) 24.0073i 1.30776i 0.756597 + 0.653881i \(0.226860\pi\)
−0.756597 + 0.653881i \(0.773140\pi\)
\(338\) 3.51174 2.02750i 0.191013 0.110282i
\(339\) −4.72038 + 10.1303i −0.256376 + 0.550203i
\(340\) 6.04445i 0.327807i
\(341\) 20.5123 16.1137i 1.11081 0.872605i
\(342\) 5.12049 4.30151i 0.276884 0.232599i
\(343\) −10.3497 −0.558829
\(344\) 5.79463 + 10.0366i 0.312425 + 0.541137i
\(345\) −0.179070 + 0.384299i −0.00964081 + 0.0206900i
\(346\) −1.30405 + 2.25868i −0.0701061 + 0.121427i
\(347\) −14.1185 24.4539i −0.757919 1.31275i −0.943910 0.330202i \(-0.892883\pi\)
0.185992 0.982551i \(-0.440450\pi\)
\(348\) −0.311692 3.55116i −0.0167084 0.190362i
\(349\) 14.1084 0.755205 0.377602 0.925968i \(-0.376749\pi\)
0.377602 + 0.925968i \(0.376749\pi\)
\(350\) −2.85385 1.64767i −0.152545 0.0880718i
\(351\) 5.53650 20.7324i 0.295516 1.10661i
\(352\) 4.05727 + 2.34247i 0.216253 + 0.124854i
\(353\) −11.1592 19.3283i −0.593943 1.02874i −0.993695 0.112116i \(-0.964237\pi\)
0.399752 0.916623i \(-0.369096\pi\)
\(354\) −1.05082 + 0.736234i −0.0558506 + 0.0391304i
\(355\) −4.83225 8.36971i −0.256469 0.444218i
\(356\) −0.149606 −0.00792909
\(357\) −31.2717 14.5715i −1.65507 0.771207i
\(358\) −16.4505 + 9.49768i −0.869434 + 0.501968i
\(359\) −4.93899 2.85152i −0.260670 0.150498i 0.363970 0.931411i \(-0.381421\pi\)
−0.624640 + 0.780913i \(0.714754\pi\)
\(360\) 1.02448 2.81965i 0.0539946 0.148609i
\(361\) 7.01543 12.1511i 0.369233 0.639530i
\(362\) −8.30014 + 14.3763i −0.436245 + 0.755599i
\(363\) −15.5310 + 10.8814i −0.815166 + 0.571127i
\(364\) 13.6090i 0.713307i
\(365\) 0.167642 + 0.290365i 0.00877480 + 0.0151984i
\(366\) −0.954291 10.8724i −0.0498816 0.568309i
\(367\) 27.7580 + 16.0261i 1.44896 + 0.836555i 0.998419 0.0562025i \(-0.0178992\pi\)
0.450537 + 0.892758i \(0.351233\pi\)
\(368\) −0.244780 −0.0127600
\(369\) 22.2616 + 8.08838i 1.15889 + 0.421064i
\(370\) 8.54454i 0.444210i
\(371\) 6.56798 0.340993
\(372\) 2.79250 9.23049i 0.144784 0.478579i
\(373\) −22.0309 −1.14072 −0.570359 0.821396i \(-0.693196\pi\)
−0.570359 + 0.821396i \(0.693196\pi\)
\(374\) 28.3179i 1.46428i
\(375\) 1.72542 0.151443i 0.0891002 0.00782049i
\(376\) −3.99299 −0.205923
\(377\) 7.36092 + 4.24983i 0.379107 + 0.218877i
\(378\) −12.1181 12.0977i −0.623287 0.622237i
\(379\) 11.4743 + 19.8741i 0.589397 + 1.02087i 0.994312 + 0.106511i \(0.0339679\pi\)
−0.404915 + 0.914355i \(0.632699\pi\)
\(380\) 2.22916i 0.114353i
\(381\) −0.420768 0.600560i −0.0215566 0.0307676i
\(382\) −8.43140 + 14.6036i −0.431388 + 0.747186i
\(383\) −5.15835 + 8.93453i −0.263579 + 0.456533i −0.967190 0.254052i \(-0.918236\pi\)
0.703611 + 0.710585i \(0.251570\pi\)
\(384\) 1.72542 0.151443i 0.0880498 0.00772830i
\(385\) 13.3701 + 7.71924i 0.681404 + 0.393409i
\(386\) −5.99887 + 3.46345i −0.305335 + 0.176285i
\(387\) −26.6211 + 22.3633i −1.35323 + 1.13679i
\(388\) 7.67331 0.389553
\(389\) 12.7371 + 22.0613i 0.645798 + 1.11855i 0.984117 + 0.177523i \(0.0568083\pi\)
−0.338319 + 0.941031i \(0.609858\pi\)
\(390\) 4.10442 + 5.85822i 0.207836 + 0.296642i
\(391\) −0.739781 1.28134i −0.0374123 0.0648001i
\(392\) −3.34226 1.92965i −0.168810 0.0974623i
\(393\) −2.06551 2.94809i −0.104191 0.148711i
\(394\) 12.8333 + 7.40933i 0.646534 + 0.373276i
\(395\) −12.8409 −0.646096
\(396\) −4.79960 + 13.2099i −0.241189 + 0.663822i
\(397\) 3.16333 + 5.47906i 0.158763 + 0.274986i 0.934423 0.356165i \(-0.115916\pi\)
−0.775660 + 0.631151i \(0.782583\pi\)
\(398\) −9.50589 + 16.4647i −0.476487 + 0.825300i
\(399\) 11.5328 + 5.37389i 0.577363 + 0.269031i
\(400\) 0.500000 + 0.866025i 0.0250000 + 0.0433013i
\(401\) −25.4504 −1.27093 −0.635465 0.772130i \(-0.719192\pi\)
−0.635465 + 0.772130i \(0.719192\pi\)
\(402\) −2.79113 + 5.98999i −0.139209 + 0.298753i
\(403\) 14.2042 + 18.0816i 0.707562 + 0.900710i
\(404\) 5.06959i 0.252222i
\(405\) 8.86502 + 1.55287i 0.440506 + 0.0771626i
\(406\) 5.87364 3.39115i 0.291504 0.168300i
\(407\) 40.0306i 1.98425i
\(408\) 6.00736 + 8.57426i 0.297408 + 0.424489i
\(409\) 31.9037 18.4196i 1.57754 0.910790i 0.582333 0.812950i \(-0.302140\pi\)
0.995202 0.0978399i \(-0.0311933\pi\)
\(410\) −6.83739 + 3.94757i −0.337675 + 0.194957i
\(411\) 30.6622 + 14.2875i 1.51246 + 0.704752i
\(412\) −9.37875 + 16.2445i −0.462058 + 0.800307i
\(413\) −2.11408 1.22056i −0.104027 0.0600600i
\(414\) −0.127923 0.723112i −0.00628709 0.0355390i
\(415\) 2.46393 1.42255i 0.120949 0.0698301i
\(416\) −2.06489 + 3.57649i −0.101239 + 0.175352i
\(417\) −38.8727 + 3.41193i −1.90361 + 0.167083i
\(418\) 10.4435i 0.510807i
\(419\) 8.72337i 0.426164i −0.977034 0.213082i \(-0.931650\pi\)
0.977034 0.213082i \(-0.0683502\pi\)
\(420\) 5.68585 0.499058i 0.277441 0.0243515i
\(421\) −2.19810 + 3.80721i −0.107129 + 0.185552i −0.914606 0.404347i \(-0.867499\pi\)
0.807477 + 0.589899i \(0.200832\pi\)
\(422\) −0.276731 + 0.159771i −0.0134711 + 0.00777752i
\(423\) −2.08676 11.7958i −0.101462 0.573532i
\(424\) −1.72608 0.996554i −0.0838260 0.0483969i
\(425\) −3.02223 + 5.23465i −0.146600 + 0.253918i
\(426\) 15.1731 + 7.07012i 0.735137 + 0.342548i
\(427\) 17.9830 10.3825i 0.870260 0.502445i
\(428\) −3.66151 + 2.11397i −0.176986 + 0.102183i
\(429\) −19.2290 27.4454i −0.928383 1.32508i
\(430\) 11.5893i 0.558883i
\(431\) −12.3311 + 7.11935i −0.593967 + 0.342927i −0.766665 0.642048i \(-0.778085\pi\)
0.172698 + 0.984975i \(0.444752\pi\)
\(432\) 1.34909 + 5.01796i 0.0649084 + 0.241427i
\(433\) 16.3649i 0.786448i −0.919443 0.393224i \(-0.871360\pi\)
0.919443 0.393224i \(-0.128640\pi\)
\(434\) 18.1623 2.60163i 0.871820 0.124882i
\(435\) −1.50564 + 3.23124i −0.0721901 + 0.154926i
\(436\) −5.84653 −0.279998
\(437\) 0.272827 + 0.472550i 0.0130511 + 0.0226051i
\(438\) −0.526389 0.245279i −0.0251519 0.0117199i
\(439\) −6.66688 + 11.5474i −0.318193 + 0.551126i −0.980111 0.198450i \(-0.936409\pi\)
0.661918 + 0.749576i \(0.269743\pi\)
\(440\) −2.34247 4.05727i −0.111673 0.193423i
\(441\) 3.95377 10.8819i 0.188275 0.518186i
\(442\) −24.9622 −1.18733
\(443\) 18.7900 + 10.8484i 0.892742 + 0.515425i 0.874838 0.484415i \(-0.160967\pi\)
0.0179037 + 0.999840i \(0.494301\pi\)
\(444\) −8.49210 12.1207i −0.403017 0.575224i
\(445\) 0.129562 + 0.0748029i 0.00614185 + 0.00354600i
\(446\) 0.692562 + 1.19955i 0.0327937 + 0.0568004i
\(447\) 15.3969 + 21.9759i 0.728250 + 1.03943i
\(448\) 1.64767 + 2.85385i 0.0778452 + 0.134832i
\(449\) 5.51787 0.260405 0.130202 0.991487i \(-0.458437\pi\)
0.130202 + 0.991487i \(0.458437\pi\)
\(450\) −2.29705 + 1.92965i −0.108284 + 0.0909648i
\(451\) 32.0327 18.4941i 1.50836 0.870854i
\(452\) 5.58805 + 3.22626i 0.262840 + 0.151751i
\(453\) 31.5221 2.76676i 1.48104 0.129994i
\(454\) −4.55194 + 7.88419i −0.213633 + 0.370024i
\(455\) −6.80451 + 11.7858i −0.319000 + 0.552525i
\(456\) −2.21548 3.16214i −0.103749 0.148081i
\(457\) 17.8127i 0.833241i −0.909081 0.416620i \(-0.863214\pi\)
0.909081 0.416620i \(-0.136786\pi\)
\(458\) −3.99401 6.91782i −0.186628 0.323249i
\(459\) −22.1900 + 22.2275i −1.03574 + 1.03749i
\(460\) 0.211986 + 0.122390i 0.00988389 + 0.00570646i
\(461\) −10.7060 −0.498630 −0.249315 0.968422i \(-0.580205\pi\)
−0.249315 + 0.968422i \(0.580205\pi\)
\(462\) −26.6378 + 2.33805i −1.23930 + 0.108776i
\(463\) 23.2499i 1.08051i −0.841500 0.540257i \(-0.818327\pi\)
0.841500 0.540257i \(-0.181673\pi\)
\(464\) −2.05814 −0.0955469
\(465\) −7.03362 + 6.59759i −0.326176 + 0.305956i
\(466\) −15.9529 −0.739003
\(467\) 1.78177i 0.0824507i 0.999150 + 0.0412253i \(0.0131262\pi\)
−0.999150 + 0.0412253i \(0.986874\pi\)
\(468\) −11.6445 4.23085i −0.538268 0.195571i
\(469\) −12.5728 −0.580560
\(470\) 3.45803 + 1.99650i 0.159507 + 0.0920914i
\(471\) 2.77954 + 31.6677i 0.128074 + 1.45917i
\(472\) 0.370390 + 0.641535i 0.0170486 + 0.0295290i
\(473\) 54.2949i 2.49648i
\(474\) 18.2153 12.7621i 0.836655 0.586183i
\(475\) 1.11458 1.93051i 0.0511404 0.0885778i
\(476\) −9.95929 + 17.2500i −0.456483 + 0.790652i
\(477\) 2.04189 5.61988i 0.0934917 0.257316i
\(478\) 7.83393 + 4.52292i 0.358316 + 0.206874i
\(479\) −30.8844 + 17.8311i −1.41115 + 0.814725i −0.995496 0.0948002i \(-0.969779\pi\)
−0.415649 + 0.909525i \(0.636445\pi\)
\(480\) −1.56998 0.731555i −0.0716593 0.0333908i
\(481\) 35.2870 1.60895
\(482\) −7.71462 13.3621i −0.351391 0.608628i
\(483\) 1.14424 0.801684i 0.0520647 0.0364779i
\(484\) 5.47431 + 9.48178i 0.248832 + 0.430990i
\(485\) −6.64528 3.83666i −0.301747 0.174214i
\(486\) −14.1187 + 6.60781i −0.640436 + 0.299737i
\(487\) 9.14547 + 5.28014i 0.414421 + 0.239266i 0.692687 0.721238i \(-0.256427\pi\)
−0.278267 + 0.960504i \(0.589760\pi\)
\(488\) −6.30131 −0.285247
\(489\) −0.258128 2.94089i −0.0116729 0.132992i
\(490\) 1.92965 + 3.34226i 0.0871729 + 0.150988i
\(491\) −8.01143 + 13.8762i −0.361551 + 0.626224i −0.988216 0.153064i \(-0.951086\pi\)
0.626665 + 0.779288i \(0.284419\pi\)
\(492\) 5.77573 12.3952i 0.260390 0.558818i
\(493\) −6.22018 10.7737i −0.280143 0.485221i
\(494\) 9.20591 0.414194
\(495\) 10.7615 9.04031i 0.483695 0.406332i
\(496\) −5.16785 2.07204i −0.232043 0.0930373i
\(497\) 31.8479i 1.42857i
\(498\) −2.08134 + 4.46673i −0.0932673 + 0.200159i
\(499\) 15.8026 9.12364i 0.707422 0.408430i −0.102684 0.994714i \(-0.532743\pi\)
0.810106 + 0.586284i \(0.199410\pi\)
\(500\) 1.00000i 0.0447214i
\(501\) −17.8343 + 12.4952i −0.796778 + 0.558244i
\(502\) 3.28729 1.89792i 0.146719 0.0847082i
\(503\) −30.0423 + 17.3449i −1.33952 + 0.773371i −0.986736 0.162335i \(-0.948098\pi\)
−0.352782 + 0.935706i \(0.614764\pi\)
\(504\) −7.56957 + 6.35888i −0.337176 + 0.283247i
\(505\) −2.53480 + 4.39040i −0.112797 + 0.195370i
\(506\) −0.993140 0.573389i −0.0441504 0.0254903i
\(507\) 5.75216 4.03011i 0.255462 0.178984i
\(508\) −0.366646 + 0.211683i −0.0162673 + 0.00939193i
\(509\) −9.89991 + 17.1472i −0.438806 + 0.760034i −0.997598 0.0692738i \(-0.977932\pi\)
0.558792 + 0.829308i \(0.311265\pi\)
\(510\) −0.915391 10.4292i −0.0405342 0.461813i
\(511\) 1.10488i 0.0488770i
\(512\) 1.00000i 0.0441942i
\(513\) 8.18354 8.19736i 0.361312 0.361922i
\(514\) 15.5105 26.8650i 0.684139 1.18496i
\(515\) 16.2445 9.37875i 0.715817 0.413277i
\(516\) 11.5181 + 16.4397i 0.507057 + 0.723720i
\(517\) −16.2007 9.35345i −0.712504 0.411364i
\(518\) 14.0786 24.3849i 0.618579 1.07141i
\(519\) −1.90797 + 4.09465i −0.0837505 + 0.179735i
\(520\) 3.57649 2.06489i 0.156839 0.0905512i
\(521\) 27.2181 15.7144i 1.19245 0.688460i 0.233587 0.972336i \(-0.424954\pi\)
0.958861 + 0.283876i \(0.0916204\pi\)
\(522\) −1.07560 6.08002i −0.0470776 0.266115i
\(523\) 30.9522i 1.35345i 0.736237 + 0.676723i \(0.236601\pi\)
−0.736237 + 0.676723i \(0.763399\pi\)
\(524\) −1.79983 + 1.03913i −0.0786260 + 0.0453947i
\(525\) −5.17362 2.41073i −0.225795 0.105213i
\(526\) 21.5086i 0.937818i
\(527\) −4.77201 33.3141i −0.207872 1.45118i
\(528\) 7.35524 + 3.42729i 0.320096 + 0.149154i
\(529\) −22.9401 −0.997395
\(530\) 0.996554 + 1.72608i 0.0432875 + 0.0749762i
\(531\) −1.70161 + 1.42945i −0.0738435 + 0.0620328i
\(532\) 3.67293 6.36169i 0.159242 0.275814i
\(533\) 16.3026 + 28.2369i 0.706142 + 1.22307i
\(534\) −0.258132 + 0.0226568i −0.0111705 + 0.000980454i
\(535\) 4.22795 0.182790
\(536\) 3.30418 + 1.90767i 0.142719 + 0.0823987i
\(537\) −26.9456 + 18.8788i −1.16279 + 0.814679i
\(538\) −23.4194 13.5212i −1.00968 0.582940i
\(539\) −9.04031 15.6583i −0.389394 0.674449i
\(540\) 1.34063 5.02023i 0.0576916 0.216036i
\(541\) 21.6449 + 37.4901i 0.930588 + 1.61183i 0.782318 + 0.622879i \(0.214037\pi\)
0.148270 + 0.988947i \(0.452630\pi\)
\(542\) 16.9825 0.729463
\(543\) −12.1440 + 26.0620i −0.521149 + 1.11843i
\(544\) 5.23465 3.02223i 0.224434 0.129577i
\(545\) 5.06324 + 2.92326i 0.216885 + 0.125219i
\(546\) −2.06099 23.4812i −0.0882024 1.00490i
\(547\) 2.09475 3.62821i 0.0895650 0.155131i −0.817762 0.575556i \(-0.804786\pi\)
0.907327 + 0.420425i \(0.138119\pi\)
\(548\) 9.76518 16.9138i 0.417148 0.722522i
\(549\) −3.29310 18.6149i −0.140546 0.794465i
\(550\) 4.68494i 0.199766i
\(551\) 2.29396 + 3.97326i 0.0977261 + 0.169267i
\(552\) −0.422348 + 0.0370703i −0.0179763 + 0.00157781i
\(553\) 36.6461 + 21.1576i 1.55835 + 0.899714i
\(554\) −23.1214 −0.982336
\(555\) 1.29401 + 14.7429i 0.0549278 + 0.625801i
\(556\) 22.5295i 0.955462i
\(557\) 33.3611 1.41356 0.706778 0.707435i \(-0.250148\pi\)
0.706778 + 0.707435i \(0.250148\pi\)
\(558\) 3.42033 16.3494i 0.144794 0.692123i
\(559\) −47.8610 −2.02430
\(560\) 3.29535i 0.139254i
\(561\) 4.28855 + 48.8602i 0.181063 + 2.06288i
\(562\) 26.0722 1.09979
\(563\) 3.50089 + 2.02124i 0.147545 + 0.0851851i 0.571955 0.820285i \(-0.306185\pi\)
−0.424410 + 0.905470i \(0.639518\pi\)
\(564\) −6.88957 + 0.604711i −0.290103 + 0.0254629i
\(565\) −3.22626 5.58805i −0.135730 0.235091i
\(566\) 14.5905i 0.613284i
\(567\) −22.7409 19.0383i −0.955026 0.799534i
\(568\) 4.83225 8.36971i 0.202757 0.351185i
\(569\) −1.92967 + 3.34229i −0.0808961 + 0.140116i −0.903635 0.428303i \(-0.859112\pi\)
0.822739 + 0.568419i \(0.192445\pi\)
\(570\) 0.337591 + 3.84623i 0.0141401 + 0.161101i
\(571\) 27.2167 + 15.7136i 1.13898 + 0.657593i 0.946179 0.323644i \(-0.104908\pi\)
0.192805 + 0.981237i \(0.438241\pi\)
\(572\) −16.7556 + 9.67385i −0.700587 + 0.404484i
\(573\) −12.3361 + 26.4742i −0.515346 + 1.10598i
\(574\) 26.0172 1.08594
\(575\) −0.122390 0.211986i −0.00510402 0.00884042i
\(576\) 2.95413 0.522605i 0.123089 0.0217752i
\(577\) 0.696828 + 1.20694i 0.0290093 + 0.0502457i 0.880166 0.474667i \(-0.157431\pi\)
−0.851156 + 0.524912i \(0.824098\pi\)
\(578\) 16.9182 + 9.76772i 0.703703 + 0.406283i
\(579\) −9.82604 + 6.88438i −0.408356 + 0.286105i
\(580\) 1.78240 + 1.02907i 0.0740103 + 0.0427299i
\(581\) −9.37558 −0.388965
\(582\) 13.2397 1.16207i 0.548802 0.0481694i
\(583\) −4.66879 8.08658i −0.193362 0.334912i
\(584\) −0.167642 + 0.290365i −0.00693709 + 0.0120154i
\(585\) 7.96903 + 9.48628i 0.329479 + 0.392210i
\(586\) 14.2780 + 24.7303i 0.589821 + 1.02160i
\(587\) 44.2243 1.82533 0.912666 0.408706i \(-0.134020\pi\)
0.912666 + 0.408706i \(0.134020\pi\)
\(588\) −6.05903 2.82330i −0.249870 0.116431i
\(589\) 1.75989 + 12.2860i 0.0725149 + 0.506237i
\(590\) 0.740780i 0.0304974i
\(591\) 23.2649 + 10.8407i 0.956992 + 0.445925i
\(592\) −7.39979 + 4.27227i −0.304130 + 0.175589i
\(593\) 14.8656i 0.610459i 0.952279 + 0.305229i \(0.0987332\pi\)
−0.952279 + 0.305229i \(0.901267\pi\)
\(594\) −6.28077 + 23.5195i −0.257703 + 0.965015i
\(595\) 17.2500 9.95929i 0.707181 0.408291i
\(596\) 13.4165 7.74601i 0.549560 0.317289i
\(597\) −13.9082 + 29.8481i −0.569223 + 1.22160i
\(598\) 0.505443 0.875452i 0.0206691 0.0357999i
\(599\) −23.8479 13.7686i −0.974397 0.562568i −0.0738230 0.997271i \(-0.523520\pi\)
−0.900574 + 0.434703i \(0.856853\pi\)
\(600\) 0.993862 + 1.41853i 0.0405743 + 0.0579114i
\(601\) −30.8947 + 17.8371i −1.26022 + 0.727589i −0.973117 0.230310i \(-0.926026\pi\)
−0.287105 + 0.957899i \(0.592693\pi\)
\(602\) −19.0953 + 33.0740i −0.778266 + 1.34800i
\(603\) −3.90872 + 10.7579i −0.159175 + 0.438096i
\(604\) 18.2693i 0.743367i
\(605\) 10.9486i 0.445125i
\(606\) −0.767755 8.74716i −0.0311879 0.355329i
\(607\) 22.4644 38.9094i 0.911801 1.57929i 0.100282 0.994959i \(-0.468025\pi\)
0.811519 0.584327i \(-0.198641\pi\)
\(608\) −1.93051 + 1.11458i −0.0782924 + 0.0452022i
\(609\) 9.62091 6.74067i 0.389859 0.273146i
\(610\) 5.45710 + 3.15066i 0.220951 + 0.127566i
\(611\) 8.24507 14.2809i 0.333560 0.577742i
\(612\) 11.6637 + 13.8844i 0.471477 + 0.561244i
\(613\) 36.0994 20.8420i 1.45804 0.841800i 0.459125 0.888372i \(-0.348163\pi\)
0.998915 + 0.0465721i \(0.0148297\pi\)
\(614\) 8.12397 4.69037i 0.327857 0.189288i
\(615\) −11.1995 + 7.84668i −0.451608 + 0.316409i
\(616\) 15.4385i 0.622034i
\(617\) −37.6159 + 21.7175i −1.51436 + 0.874316i −0.514501 + 0.857490i \(0.672023\pi\)
−0.999858 + 0.0168256i \(0.994644\pi\)
\(618\) −13.7221 + 29.4488i −0.551985 + 1.18461i
\(619\) 38.4345i 1.54481i 0.635129 + 0.772406i \(0.280947\pi\)
−0.635129 + 0.772406i \(0.719053\pi\)
\(620\) 3.43947 + 4.37836i 0.138132 + 0.175839i
\(621\) −0.330231 1.22830i −0.0132517 0.0492899i
\(622\) −1.63457 −0.0655403
\(623\) −0.246502 0.426953i −0.00987587 0.0171055i
\(624\) −3.02115 + 6.48364i −0.120943 + 0.259553i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −6.17384 10.6934i −0.246756 0.427394i
\(627\) −1.58159 18.0193i −0.0631627 0.719623i
\(628\) 18.3537 0.732391
\(629\) −44.7277 25.8236i −1.78341 1.02965i
\(630\) 9.73488 1.72217i 0.387847 0.0686127i
\(631\) 5.86942 + 3.38871i 0.233658 + 0.134902i 0.612258 0.790658i \(-0.290261\pi\)
−0.378601 + 0.925560i \(0.623595\pi\)
\(632\) −6.42046 11.1206i −0.255392 0.442352i
\(633\) −0.453280 + 0.317580i −0.0180163 + 0.0126227i
\(634\) −17.0459 29.5244i −0.676979 1.17256i
\(635\) 0.423367 0.0168008
\(636\) −3.12913 1.45807i −0.124078 0.0578162i
\(637\) 13.8028 7.96903i 0.546885 0.315744i
\(638\) −8.35045 4.82113i −0.330597 0.190870i
\(639\) 27.2506 + 9.90105i 1.07802 + 0.391680i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) 1.51314 2.62083i 0.0597653 0.103517i −0.834595 0.550865i \(-0.814298\pi\)
0.894360 + 0.447348i \(0.147631\pi\)
\(642\) −5.99748 + 4.20200i −0.236702 + 0.165840i
\(643\) 8.47085i 0.334058i 0.985952 + 0.167029i \(0.0534173\pi\)
−0.985952 + 0.167029i \(0.946583\pi\)
\(644\) −0.403318 0.698566i −0.0158929 0.0275274i
\(645\) −1.75511 19.9963i −0.0691075 0.787354i
\(646\) −11.6689 6.73702i −0.459106 0.265065i
\(647\) 30.7071 1.20722 0.603611 0.797279i \(-0.293728\pi\)
0.603611 + 0.797279i \(0.293728\pi\)
\(648\) 3.08769 + 8.45377i 0.121296 + 0.332095i
\(649\) 3.47051i 0.136229i
\(650\) −4.12977 −0.161983
\(651\) 30.9436 7.23945i 1.21278 0.283737i
\(652\) −1.70445 −0.0667515
\(653\) 20.6155i 0.806748i −0.915035 0.403374i \(-0.867837\pi\)
0.915035 0.403374i \(-0.132163\pi\)
\(654\) −10.0877 + 0.885417i −0.394460 + 0.0346225i
\(655\) 2.07827 0.0812046
\(656\) −6.83739 3.94757i −0.266955 0.154127i
\(657\) −0.945387 0.343491i −0.0368831 0.0134009i
\(658\) −6.57914 11.3954i −0.256482 0.444239i
\(659\) 45.9699i 1.79073i −0.445331 0.895366i \(-0.646914\pi\)
0.445331 0.895366i \(-0.353086\pi\)
\(660\) −4.65618 6.64574i −0.181242 0.258685i
\(661\) −1.62902 + 2.82155i −0.0633616 + 0.109745i −0.895966 0.444123i \(-0.853515\pi\)
0.832604 + 0.553868i \(0.186849\pi\)
\(662\) 11.0835 19.1972i 0.430773 0.746121i
\(663\) −43.0702 + 3.78036i −1.67271 + 0.146817i
\(664\) 2.46393 + 1.42255i 0.0956189 + 0.0552056i
\(665\) −6.36169 + 3.67293i −0.246696 + 0.142430i
\(666\) −16.4880 19.6272i −0.638898 0.760540i
\(667\) 0.503792 0.0195069
\(668\) 6.28618 + 10.8880i 0.243220 + 0.421269i
\(669\) 1.37662 + 1.96484i 0.0532233 + 0.0759653i
\(670\) −1.90767 3.30418i −0.0736996 0.127651i
\(671\) −25.5662 14.7606i −0.986970 0.569828i
\(672\) 3.27512 + 4.67456i 0.126341 + 0.180325i
\(673\) −28.5117 16.4612i −1.09905 0.634534i −0.163076 0.986614i \(-0.552141\pi\)
−0.935970 + 0.352079i \(0.885475\pi\)
\(674\) 24.0073 0.924727
\(675\) −3.67114 + 3.67733i −0.141302 + 0.141541i
\(676\) −2.02750 3.51174i −0.0779808 0.135067i
\(677\) 2.98095 5.16316i 0.114567 0.198436i −0.803039 0.595926i \(-0.796785\pi\)
0.917607 + 0.397490i \(0.130118\pi\)
\(678\) 10.1303 + 4.72038i 0.389052 + 0.181285i
\(679\) 12.6431 + 21.8985i 0.485198 + 0.840388i
\(680\) −6.04445 −0.231794
\(681\) −6.65999 + 14.2929i −0.255211 + 0.547705i
\(682\) −16.1137 20.5123i −0.617025 0.785458i
\(683\) 32.4819i 1.24289i −0.783459 0.621443i \(-0.786547\pi\)
0.783459 0.621443i \(-0.213453\pi\)
\(684\) −4.30151 5.12049i −0.164472 0.195787i
\(685\) −16.9138 + 9.76518i −0.646243 + 0.373109i
\(686\) 10.3497i 0.395152i
\(687\) −7.93899 11.3313i −0.302891 0.432315i
\(688\) 10.0366 5.79463i 0.382641 0.220918i
\(689\) 7.12832 4.11554i 0.271567 0.156790i
\(690\) 0.384299 + 0.179070i 0.0146300 + 0.00681708i
\(691\) 8.97812 15.5506i 0.341544 0.591571i −0.643176 0.765719i \(-0.722384\pi\)
0.984720 + 0.174147i \(0.0557169\pi\)
\(692\) 2.25868 + 1.30405i 0.0858621 + 0.0495725i
\(693\) −45.6073 + 8.06823i −1.73248 + 0.306487i
\(694\) −24.4539 + 14.1185i −0.928257 + 0.535929i
\(695\) 11.2647 19.5111i 0.427296 0.740098i
\(696\) −3.55116 + 0.311692i −0.134606 + 0.0118146i
\(697\) 47.7218i 1.80759i
\(698\) 14.1084i 0.534010i
\(699\) −27.5254 + 2.41595i −1.04110 + 0.0913797i
\(700\) −1.64767 + 2.85385i −0.0622762 + 0.107866i
\(701\) −17.0045 + 9.81756i −0.642251 + 0.370804i −0.785481 0.618885i \(-0.787584\pi\)
0.143230 + 0.989689i \(0.454251\pi\)
\(702\) −20.7324 5.53650i −0.782494 0.208962i
\(703\) 16.4953 + 9.52357i 0.622133 + 0.359188i
\(704\) 2.34247 4.05727i 0.0882851 0.152914i
\(705\) 6.26890 + 2.92109i 0.236100 + 0.110015i
\(706\) −19.3283 + 11.1592i −0.727428 + 0.419981i
\(707\) 14.4679 8.35303i 0.544120 0.314148i
\(708\) 0.736234 + 1.05082i 0.0276694 + 0.0394923i
\(709\) 2.09339i 0.0786187i −0.999227 0.0393094i \(-0.987484\pi\)
0.999227 0.0393094i \(-0.0125158\pi\)
\(710\) −8.36971 + 4.83225i −0.314110 + 0.181351i
\(711\) 29.4962 24.7785i 1.10619 0.929267i
\(712\) 0.149606i 0.00560672i
\(713\) 1.26499 + 0.507194i 0.0473741 + 0.0189946i
\(714\) −14.5715 + 31.2717i −0.545326 + 1.17031i
\(715\) 19.3477 0.723563
\(716\) 9.49768 + 16.4505i 0.354945 + 0.614783i
\(717\) 14.2018 + 6.61753i 0.530375 + 0.247136i
\(718\) −2.85152 + 4.93899i −0.106418 + 0.184321i
\(719\) −4.88475 8.46063i −0.182170 0.315528i 0.760449 0.649398i \(-0.224979\pi\)
−0.942619 + 0.333869i \(0.891646\pi\)
\(720\) −2.81965 1.02448i −0.105082 0.0381800i
\(721\) −61.8124 −2.30202
\(722\) −12.1511 7.01543i −0.452216 0.261087i
\(723\) −15.3345 21.8869i −0.570298 0.813983i
\(724\) 14.3763 + 8.30014i 0.534289 + 0.308472i
\(725\) −1.02907 1.78240i −0.0382188 0.0661968i
\(726\) 10.8814 + 15.5310i 0.403847 + 0.576409i
\(727\) −9.42776 16.3294i −0.349656 0.605622i 0.636532 0.771250i \(-0.280368\pi\)
−0.986188 + 0.165628i \(0.947035\pi\)
\(728\) −13.6090 −0.504384
\(729\) −23.3599 + 13.5394i −0.865181 + 0.501460i
\(730\) 0.290365 0.167642i 0.0107469 0.00620472i
\(731\) 60.6657 + 35.0254i 2.24380 + 1.29546i
\(732\) −10.8724 + 0.954291i −0.401855 + 0.0352716i
\(733\) −7.30224 + 12.6479i −0.269714 + 0.467159i −0.968788 0.247891i \(-0.920263\pi\)
0.699074 + 0.715050i \(0.253596\pi\)
\(734\) 16.0261 27.7580i 0.591534 1.02457i
\(735\) 3.83562 + 5.47456i 0.141479 + 0.201932i
\(736\) 0.244780i 0.00902271i
\(737\) 8.93730 + 15.4799i 0.329210 + 0.570208i
\(738\) 8.08838 22.2616i 0.297737 0.819459i
\(739\) −41.8282 24.1495i −1.53868 0.888355i −0.998917 0.0465355i \(-0.985182\pi\)
−0.539759 0.841819i \(-0.681485\pi\)
\(740\) 8.54454 0.314104
\(741\) 15.8840 1.39417i 0.583515 0.0512162i
\(742\) 6.56798i 0.241118i
\(743\) 6.41688 0.235412 0.117706 0.993048i \(-0.462446\pi\)
0.117706 + 0.993048i \(0.462446\pi\)
\(744\) −9.23049 2.79250i −0.338406 0.102378i
\(745\) −15.4920 −0.567584
\(746\) 22.0309i 0.806609i
\(747\) −2.91473 + 8.02219i −0.106644 + 0.293516i
\(748\) 28.3179 1.03540
\(749\) −12.0659 6.96627i −0.440880 0.254542i
\(750\) −0.151443 1.72542i −0.00552992 0.0630033i
\(751\) −8.51988 14.7569i −0.310895 0.538486i 0.667661 0.744465i \(-0.267295\pi\)
−0.978556 + 0.205979i \(0.933962\pi\)
\(752\) 3.99299i 0.145609i
\(753\) 5.38452 3.77254i 0.196223 0.137479i
\(754\) 4.24983 7.36092i 0.154770 0.268069i
\(755\) −9.13464 + 15.8217i −0.332444 + 0.575809i
\(756\) −12.0977 + 12.1181i −0.439988 + 0.440730i
\(757\) 17.9616 + 10.3701i 0.652826 + 0.376909i 0.789538 0.613701i \(-0.210320\pi\)
−0.136712 + 0.990611i \(0.543653\pi\)
\(758\) 19.8741 11.4743i 0.721861 0.416767i
\(759\) −1.80042 0.838932i −0.0653510 0.0304513i
\(760\) 2.22916 0.0808601
\(761\) −11.5689 20.0379i −0.419372 0.726373i 0.576504 0.817094i \(-0.304416\pi\)
−0.995876 + 0.0907205i \(0.971083\pi\)
\(762\) −0.600560 + 0.420768i −0.0217560 + 0.0152428i
\(763\) −9.63317 16.6851i −0.348744 0.604043i
\(764\) 14.6036 + 8.43140i 0.528340 + 0.305037i
\(765\) −3.15886 17.8561i −0.114209 0.645589i
\(766\) 8.93453 + 5.15835i 0.322818 + 0.186379i
\(767\) −3.05925 −0.110463
\(768\) −0.151443 1.72542i −0.00546473 0.0622606i
\(769\) 19.5619 + 33.8822i 0.705420 + 1.22182i 0.966540 + 0.256517i \(0.0825749\pi\)
−0.261120 + 0.965306i \(0.584092\pi\)
\(770\) 7.71924 13.3701i 0.278182 0.481826i
\(771\) 22.6936 48.7023i 0.817289 1.75397i
\(772\) 3.46345 + 5.99887i 0.124652 + 0.215904i
\(773\) 17.0109 0.611839 0.305920 0.952057i \(-0.401036\pi\)
0.305920 + 0.952057i \(0.401036\pi\)
\(774\) 22.3633 + 26.6211i 0.803831 + 0.956875i
\(775\) −0.789485 5.51151i −0.0283592 0.197979i
\(776\)