Properties

Label 546.2.bq.c.503.12
Level $546$
Weight $2$
Character 546.503
Analytic conductor $4.360$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bq (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 503.12
Character \(\chi\) \(=\) 546.503
Dual form 546.2.bq.c.419.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.22965 + 1.21982i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.88020 q^{5} +(-0.454992 - 1.67122i) q^{6} +(-1.27747 - 2.31691i) q^{7} -1.00000i q^{8} +(0.0240567 + 2.99990i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.22965 + 1.21982i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.88020 q^{5} +(-0.454992 - 1.67122i) q^{6} +(-1.27747 - 2.31691i) q^{7} -1.00000i q^{8} +(0.0240567 + 2.99990i) q^{9} +(1.62830 + 0.940099i) q^{10} +(-3.16716 - 1.82856i) q^{11} +(-0.441576 + 1.67482i) q^{12} +(-3.37398 - 1.27133i) q^{13} +(-0.0521308 + 2.64524i) q^{14} +(-2.31198 - 2.29351i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(2.66605 + 4.61773i) q^{17} +(1.47912 - 2.61002i) q^{18} +(-3.90587 + 2.25506i) q^{19} +(-0.940099 - 1.62830i) q^{20} +(1.25538 - 4.40727i) q^{21} +(1.82856 + 3.16716i) q^{22} +(-3.33400 - 1.92489i) q^{23} +(1.21982 - 1.22965i) q^{24} -1.46485 q^{25} +(2.28628 + 2.78800i) q^{26} +(-3.62977 + 3.71816i) q^{27} +(1.36777 - 2.26478i) q^{28} +(-2.85202 - 1.64661i) q^{29} +(0.855476 + 3.14223i) q^{30} -2.94891i q^{31} +(0.866025 - 0.500000i) q^{32} +(-1.66396 - 6.11186i) q^{33} -5.33209i q^{34} +(2.40190 + 4.35625i) q^{35} +(-2.58596 + 1.52079i) q^{36} +(-0.930327 + 1.61137i) q^{37} +4.51011 q^{38} +(-2.59799 - 5.67895i) q^{39} +1.88020i q^{40} +(2.84478 - 4.92731i) q^{41} +(-3.29083 + 3.18911i) q^{42} +(-5.18527 - 8.98116i) q^{43} -3.65712i q^{44} +(-0.0452314 - 5.64041i) q^{45} +(1.92489 + 3.33400i) q^{46} +7.28396 q^{47} +(-1.67122 + 0.454992i) q^{48} +(-3.73613 + 5.91957i) q^{49} +(1.26860 + 0.732427i) q^{50} +(-2.35452 + 8.93028i) q^{51} +(-0.585980 - 3.55762i) q^{52} -4.50439i q^{53} +(5.00256 - 1.40514i) q^{54} +(5.95489 + 3.43806i) q^{55} +(-2.31691 + 1.27747i) q^{56} +(-7.55361 - 1.99156i) q^{57} +(1.64661 + 2.85202i) q^{58} +(2.45731 + 4.25618i) q^{59} +(0.830251 - 3.14899i) q^{60} +(2.25341 - 1.30101i) q^{61} +(-1.47446 + 2.55383i) q^{62} +(6.91977 - 3.88803i) q^{63} -1.00000 q^{64} +(6.34374 + 2.39036i) q^{65} +(-1.61490 + 6.12501i) q^{66} +(-2.47105 + 4.27998i) q^{67} +(-2.66605 + 4.61773i) q^{68} +(-1.75162 - 6.43383i) q^{69} +(0.0980162 - 4.97357i) q^{70} +(-10.1167 + 5.84088i) q^{71} +(2.99990 - 0.0240567i) q^{72} +5.08266i q^{73} +(1.61137 - 0.930327i) q^{74} +(-1.80125 - 1.78686i) q^{75} +(-3.90587 - 2.25506i) q^{76} +(-0.190649 + 9.67396i) q^{77} +(-0.589550 + 6.21711i) q^{78} +14.0285 q^{79} +(0.940099 - 1.62830i) q^{80} +(-8.99884 + 0.144336i) q^{81} +(-4.92731 + 2.84478i) q^{82} -4.75954 q^{83} +(4.44450 - 1.11644i) q^{84} +(-5.01270 - 8.68224i) q^{85} +10.3705i q^{86} +(-1.49839 - 5.50372i) q^{87} +(-1.82856 + 3.16716i) q^{88} +(-4.82669 + 8.36007i) q^{89} +(-2.78104 + 4.90736i) q^{90} +(1.36459 + 9.44129i) q^{91} -3.84978i q^{92} +(3.59716 - 3.62612i) q^{93} +(-6.30809 - 3.64198i) q^{94} +(7.34381 - 4.23995i) q^{95} +(1.67482 + 0.441576i) q^{96} +(-11.4876 + 6.63238i) q^{97} +(6.19537 - 3.25844i) q^{98} +(5.40932 - 9.54517i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q + 32 q^{4} + 16 q^{7} + 16 q^{9} + O(q^{10}) \) \( 64 q + 32 q^{4} + 16 q^{7} + 16 q^{9} - 12 q^{15} - 32 q^{16} - 24 q^{18} + 16 q^{21} - 16 q^{28} + 8 q^{30} - 16 q^{36} - 48 q^{39} + 20 q^{42} - 8 q^{43} + 8 q^{46} + 8 q^{49} - 8 q^{51} + 8 q^{57} + 16 q^{58} - 24 q^{60} + 32 q^{63} - 64 q^{64} + 24 q^{67} + 48 q^{70} - 12 q^{72} - 12 q^{78} + 96 q^{79} + 68 q^{81} + 8 q^{84} - 112 q^{85} - 16 q^{91} - 56 q^{93} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 1.22965 + 1.21982i 0.709936 + 0.704266i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.88020 −0.840850 −0.420425 0.907327i \(-0.638119\pi\)
−0.420425 + 0.907327i \(0.638119\pi\)
\(6\) −0.454992 1.67122i −0.185750 0.682273i
\(7\) −1.27747 2.31691i −0.482839 0.875709i
\(8\) 1.00000i 0.353553i
\(9\) 0.0240567 + 2.99990i 0.00801890 + 0.999968i
\(10\) 1.62830 + 0.940099i 0.514914 + 0.297285i
\(11\) −3.16716 1.82856i −0.954935 0.551332i −0.0603244 0.998179i \(-0.519214\pi\)
−0.894610 + 0.446847i \(0.852547\pi\)
\(12\) −0.441576 + 1.67482i −0.127472 + 0.483478i
\(13\) −3.37398 1.27133i −0.935772 0.352605i
\(14\) −0.0521308 + 2.64524i −0.0139325 + 0.706970i
\(15\) −2.31198 2.29351i −0.596950 0.592182i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 2.66605 + 4.61773i 0.646611 + 1.11996i 0.983927 + 0.178572i \(0.0571476\pi\)
−0.337316 + 0.941392i \(0.609519\pi\)
\(18\) 1.47912 2.61002i 0.348631 0.615188i
\(19\) −3.90587 + 2.25506i −0.896068 + 0.517345i −0.875922 0.482452i \(-0.839746\pi\)
−0.0201457 + 0.999797i \(0.506413\pi\)
\(20\) −0.940099 1.62830i −0.210213 0.364099i
\(21\) 1.25538 4.40727i 0.273947 0.961745i
\(22\) 1.82856 + 3.16716i 0.389851 + 0.675241i
\(23\) −3.33400 1.92489i −0.695188 0.401367i 0.110365 0.993891i \(-0.464798\pi\)
−0.805553 + 0.592524i \(0.798131\pi\)
\(24\) 1.21982 1.22965i 0.248996 0.251000i
\(25\) −1.46485 −0.292971
\(26\) 2.28628 + 2.78800i 0.448377 + 0.546771i
\(27\) −3.62977 + 3.71816i −0.698550 + 0.715561i
\(28\) 1.36777 2.26478i 0.258483 0.428003i
\(29\) −2.85202 1.64661i −0.529607 0.305769i 0.211249 0.977432i \(-0.432247\pi\)
−0.740856 + 0.671663i \(0.765580\pi\)
\(30\) 0.855476 + 3.14223i 0.156188 + 0.573690i
\(31\) 2.94891i 0.529640i −0.964298 0.264820i \(-0.914687\pi\)
0.964298 0.264820i \(-0.0853126\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −1.66396 6.11186i −0.289659 1.06394i
\(34\) 5.33209i 0.914446i
\(35\) 2.40190 + 4.35625i 0.405995 + 0.736340i
\(36\) −2.58596 + 1.52079i −0.430994 + 0.253464i
\(37\) −0.930327 + 1.61137i −0.152945 + 0.264908i −0.932309 0.361663i \(-0.882209\pi\)
0.779364 + 0.626571i \(0.215542\pi\)
\(38\) 4.51011 0.731637
\(39\) −2.59799 5.67895i −0.416011 0.909360i
\(40\) 1.88020i 0.297285i
\(41\) 2.84478 4.92731i 0.444280 0.769516i −0.553721 0.832702i \(-0.686793\pi\)
0.998002 + 0.0631857i \(0.0201260\pi\)
\(42\) −3.29083 + 3.18911i −0.507786 + 0.492091i
\(43\) −5.18527 8.98116i −0.790747 1.36961i −0.925505 0.378735i \(-0.876359\pi\)
0.134758 0.990878i \(-0.456974\pi\)
\(44\) 3.65712i 0.551332i
\(45\) −0.0452314 5.64041i −0.00674269 0.840823i
\(46\) 1.92489 + 3.33400i 0.283809 + 0.491572i
\(47\) 7.28396 1.06247 0.531237 0.847223i \(-0.321727\pi\)
0.531237 + 0.847223i \(0.321727\pi\)
\(48\) −1.67122 + 0.454992i −0.241220 + 0.0656725i
\(49\) −3.73613 + 5.91957i −0.533733 + 0.845653i
\(50\) 1.26860 + 0.732427i 0.179407 + 0.103581i
\(51\) −2.35452 + 8.93028i −0.329699 + 1.25049i
\(52\) −0.585980 3.55762i −0.0812608 0.493353i
\(53\) 4.50439i 0.618725i −0.950944 0.309363i \(-0.899884\pi\)
0.950944 0.309363i \(-0.100116\pi\)
\(54\) 5.00256 1.40514i 0.680762 0.191215i
\(55\) 5.95489 + 3.43806i 0.802957 + 0.463588i
\(56\) −2.31691 + 1.27747i −0.309610 + 0.170709i
\(57\) −7.55361 1.99156i −1.00050 0.263788i
\(58\) 1.64661 + 2.85202i 0.216211 + 0.374489i
\(59\) 2.45731 + 4.25618i 0.319914 + 0.554108i 0.980470 0.196669i \(-0.0630125\pi\)
−0.660556 + 0.750777i \(0.729679\pi\)
\(60\) 0.830251 3.14899i 0.107185 0.406533i
\(61\) 2.25341 1.30101i 0.288520 0.166577i −0.348754 0.937214i \(-0.613395\pi\)
0.637274 + 0.770637i \(0.280062\pi\)
\(62\) −1.47446 + 2.55383i −0.187256 + 0.324337i
\(63\) 6.91977 3.88803i 0.871809 0.489846i
\(64\) −1.00000 −0.125000
\(65\) 6.34374 + 2.39036i 0.786845 + 0.296488i
\(66\) −1.61490 + 6.12501i −0.198780 + 0.753936i
\(67\) −2.47105 + 4.27998i −0.301886 + 0.522883i −0.976563 0.215231i \(-0.930950\pi\)
0.674677 + 0.738113i \(0.264283\pi\)
\(68\) −2.66605 + 4.61773i −0.323306 + 0.559982i
\(69\) −1.75162 6.43383i −0.210870 0.774542i
\(70\) 0.0980162 4.97357i 0.0117152 0.594456i
\(71\) −10.1167 + 5.84088i −1.20063 + 0.693185i −0.960696 0.277604i \(-0.910460\pi\)
−0.239936 + 0.970789i \(0.577126\pi\)
\(72\) 2.99990 0.0240567i 0.353542 0.00283511i
\(73\) 5.08266i 0.594881i 0.954740 + 0.297440i \(0.0961330\pi\)
−0.954740 + 0.297440i \(0.903867\pi\)
\(74\) 1.61137 0.930327i 0.187318 0.108148i
\(75\) −1.80125 1.78686i −0.207991 0.206329i
\(76\) −3.90587 2.25506i −0.448034 0.258673i
\(77\) −0.190649 + 9.67396i −0.0217264 + 1.10245i
\(78\) −0.589550 + 6.21711i −0.0667534 + 0.703949i
\(79\) 14.0285 1.57833 0.789166 0.614180i \(-0.210513\pi\)
0.789166 + 0.614180i \(0.210513\pi\)
\(80\) 0.940099 1.62830i 0.105106 0.182049i
\(81\) −8.99884 + 0.144336i −0.999871 + 0.0160373i
\(82\) −4.92731 + 2.84478i −0.544130 + 0.314154i
\(83\) −4.75954 −0.522427 −0.261214 0.965281i \(-0.584123\pi\)
−0.261214 + 0.965281i \(0.584123\pi\)
\(84\) 4.44450 1.11644i 0.484934 0.121814i
\(85\) −5.01270 8.68224i −0.543703 0.941721i
\(86\) 10.3705i 1.11828i
\(87\) −1.49839 5.50372i −0.160645 0.590060i
\(88\) −1.82856 + 3.16716i −0.194925 + 0.337620i
\(89\) −4.82669 + 8.36007i −0.511628 + 0.886166i 0.488281 + 0.872686i \(0.337624\pi\)
−0.999909 + 0.0134794i \(0.995709\pi\)
\(90\) −2.78104 + 4.90736i −0.293147 + 0.517281i
\(91\) 1.36459 + 9.44129i 0.143048 + 0.989716i
\(92\) 3.84978i 0.401367i
\(93\) 3.59716 3.62612i 0.373008 0.376011i
\(94\) −6.30809 3.64198i −0.650630 0.375641i
\(95\) 7.34381 4.23995i 0.753459 0.435010i
\(96\) 1.67482 + 0.441576i 0.170935 + 0.0450682i
\(97\) −11.4876 + 6.63238i −1.16639 + 0.673416i −0.952827 0.303513i \(-0.901840\pi\)
−0.213564 + 0.976929i \(0.568507\pi\)
\(98\) 6.19537 3.25844i 0.625827 0.329152i
\(99\) 5.40932 9.54517i 0.543657 0.959325i
\(100\) −0.732427 1.26860i −0.0732427 0.126860i
\(101\) −7.10215 + 12.3013i −0.706690 + 1.22402i 0.259388 + 0.965773i \(0.416479\pi\)
−0.966078 + 0.258250i \(0.916854\pi\)
\(102\) 6.50422 6.55658i 0.644013 0.649198i
\(103\) 3.94251i 0.388467i −0.980955 0.194234i \(-0.937778\pi\)
0.980955 0.194234i \(-0.0622220\pi\)
\(104\) −1.27133 + 3.37398i −0.124665 + 0.330845i
\(105\) −2.36037 + 8.28654i −0.230349 + 0.808683i
\(106\) −2.25219 + 3.90092i −0.218752 + 0.378890i
\(107\) 16.6172 + 9.59396i 1.60645 + 0.927483i 0.990157 + 0.139964i \(0.0446987\pi\)
0.616291 + 0.787519i \(0.288635\pi\)
\(108\) −5.03491 1.28440i −0.484485 0.123591i
\(109\) −1.43980 −0.137908 −0.0689541 0.997620i \(-0.521966\pi\)
−0.0689541 + 0.997620i \(0.521966\pi\)
\(110\) −3.43806 5.95489i −0.327806 0.567777i
\(111\) −3.10957 + 0.846583i −0.295147 + 0.0803541i
\(112\) 2.64524 + 0.0521308i 0.249951 + 0.00492589i
\(113\) 9.32273 5.38248i 0.877009 0.506341i 0.00733803 0.999973i \(-0.497664\pi\)
0.869671 + 0.493632i \(0.164331\pi\)
\(114\) 5.54584 + 5.50154i 0.519415 + 0.515267i
\(115\) 6.26859 + 3.61917i 0.584549 + 0.337489i
\(116\) 3.29323i 0.305769i
\(117\) 3.73271 10.1522i 0.345090 0.938570i
\(118\) 4.91462i 0.452427i
\(119\) 7.29305 12.0760i 0.668553 1.10701i
\(120\) −2.29351 + 2.31198i −0.209368 + 0.211054i
\(121\) 1.18727 + 2.05641i 0.107934 + 0.186947i
\(122\) −2.60201 −0.235575
\(123\) 9.50853 2.58871i 0.857355 0.233416i
\(124\) 2.55383 1.47446i 0.229341 0.132410i
\(125\) 12.1552 1.08719
\(126\) −7.93671 0.0927516i −0.707059 0.00826297i
\(127\) 8.15283 14.1211i 0.723447 1.25305i −0.236163 0.971713i \(-0.575890\pi\)
0.959610 0.281334i \(-0.0907768\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 4.57939 17.3688i 0.403192 1.52923i
\(130\) −4.29866 5.24199i −0.377018 0.459753i
\(131\) −12.1392 −1.06061 −0.530304 0.847807i \(-0.677922\pi\)
−0.530304 + 0.847807i \(0.677922\pi\)
\(132\) 4.46105 4.49696i 0.388284 0.391410i
\(133\) 10.2144 + 6.16877i 0.885701 + 0.534901i
\(134\) 4.27998 2.47105i 0.369734 0.213466i
\(135\) 6.82470 6.99088i 0.587376 0.601680i
\(136\) 4.61773 2.66605i 0.395967 0.228612i
\(137\) 16.6342 9.60379i 1.42116 0.820507i 0.424761 0.905305i \(-0.360358\pi\)
0.996398 + 0.0847985i \(0.0270247\pi\)
\(138\) −1.69997 + 6.44767i −0.144711 + 0.548862i
\(139\) 10.5865 6.11210i 0.897932 0.518421i 0.0214033 0.999771i \(-0.493187\pi\)
0.876529 + 0.481350i \(0.159853\pi\)
\(140\) −2.57167 + 4.25823i −0.217346 + 0.359886i
\(141\) 8.95669 + 8.88515i 0.754289 + 0.748265i
\(142\) 11.6818 0.980311
\(143\) 8.36121 + 10.1960i 0.699199 + 0.852636i
\(144\) −2.61002 1.47912i −0.217502 0.123260i
\(145\) 5.36237 + 3.09596i 0.445320 + 0.257106i
\(146\) 2.54133 4.40172i 0.210322 0.364289i
\(147\) −11.8150 + 2.72155i −0.974481 + 0.224470i
\(148\) −1.86065 −0.152945
\(149\) −10.8614 + 6.27084i −0.889801 + 0.513727i −0.873877 0.486146i \(-0.838402\pi\)
−0.0159236 + 0.999873i \(0.505069\pi\)
\(150\) 0.666497 + 2.44810i 0.0544192 + 0.199886i
\(151\) −1.04690 −0.0851952 −0.0425976 0.999092i \(-0.513563\pi\)
−0.0425976 + 0.999092i \(0.513563\pi\)
\(152\) 2.25506 + 3.90587i 0.182909 + 0.316808i
\(153\) −13.7886 + 8.10897i −1.11474 + 0.655571i
\(154\) 5.00209 8.28257i 0.403080 0.667428i
\(155\) 5.54454i 0.445348i
\(156\) 3.61912 5.08940i 0.289761 0.407478i
\(157\) 7.33717i 0.585570i 0.956178 + 0.292785i \(0.0945820\pi\)
−0.956178 + 0.292785i \(0.905418\pi\)
\(158\) −12.1491 7.01426i −0.966527 0.558025i
\(159\) 5.49456 5.53880i 0.435747 0.439256i
\(160\) −1.62830 + 0.940099i −0.128728 + 0.0743214i
\(161\) −0.200692 + 10.1836i −0.0158167 + 0.802578i
\(162\) 7.86539 + 4.37442i 0.617964 + 0.343687i
\(163\) −1.85972 3.22112i −0.145664 0.252298i 0.783956 0.620816i \(-0.213199\pi\)
−0.929621 + 0.368518i \(0.879865\pi\)
\(164\) 5.68957 0.444280
\(165\) 3.12858 + 11.4915i 0.243560 + 0.894613i
\(166\) 4.12188 + 2.37977i 0.319920 + 0.184706i
\(167\) 0.354433 0.613896i 0.0274268 0.0475047i −0.851986 0.523564i \(-0.824602\pi\)
0.879413 + 0.476060i \(0.157935\pi\)
\(168\) −4.40727 1.25538i −0.340028 0.0968549i
\(169\) 9.76742 + 8.57890i 0.751340 + 0.659916i
\(170\) 10.0254i 0.768912i
\(171\) −6.85891 11.6630i −0.524514 0.891891i
\(172\) 5.18527 8.98116i 0.395373 0.684807i
\(173\) −8.70565 15.0786i −0.661878 1.14641i −0.980122 0.198398i \(-0.936426\pi\)
0.318244 0.948009i \(-0.396907\pi\)
\(174\) −1.45421 + 5.51556i −0.110244 + 0.418133i
\(175\) 1.87131 + 3.39393i 0.141458 + 0.256557i
\(176\) 3.16716 1.82856i 0.238734 0.137833i
\(177\) −2.17018 + 8.23108i −0.163121 + 0.618686i
\(178\) 8.36007 4.82669i 0.626614 0.361776i
\(179\) −18.4651 10.6608i −1.38015 0.796828i −0.387970 0.921672i \(-0.626824\pi\)
−0.992176 + 0.124844i \(0.960157\pi\)
\(180\) 4.86213 2.85938i 0.362401 0.213125i
\(181\) 4.41691i 0.328306i 0.986435 + 0.164153i \(0.0524892\pi\)
−0.986435 + 0.164153i \(0.947511\pi\)
\(182\) 3.53887 8.85869i 0.262318 0.656650i
\(183\) 4.35790 + 1.14899i 0.322145 + 0.0849356i
\(184\) −1.92489 + 3.33400i −0.141905 + 0.245786i
\(185\) 1.74920 3.02970i 0.128604 0.222748i
\(186\) −4.92829 + 1.34173i −0.361359 + 0.0983806i
\(187\) 19.5001i 1.42599i
\(188\) 3.64198 + 6.30809i 0.265619 + 0.460065i
\(189\) 13.2516 + 3.66000i 0.963911 + 0.266226i
\(190\) −8.47990 −0.615197
\(191\) −5.28436 + 3.05093i −0.382363 + 0.220757i −0.678846 0.734281i \(-0.737520\pi\)
0.296483 + 0.955038i \(0.404186\pi\)
\(192\) −1.22965 1.21982i −0.0887420 0.0880332i
\(193\) −9.10171 + 15.7646i −0.655156 + 1.13476i 0.326699 + 0.945128i \(0.394064\pi\)
−0.981855 + 0.189634i \(0.939270\pi\)
\(194\) 13.2648 0.952354
\(195\) 4.88474 + 10.6776i 0.349803 + 0.764635i
\(196\) −6.99456 0.275796i −0.499612 0.0196997i
\(197\) 1.41378 + 0.816248i 0.100728 + 0.0581553i 0.549518 0.835482i \(-0.314811\pi\)
−0.448790 + 0.893637i \(0.648145\pi\)
\(198\) −9.45719 + 5.56170i −0.672093 + 0.395253i
\(199\) −19.9947 + 11.5439i −1.41738 + 0.818327i −0.996068 0.0885877i \(-0.971765\pi\)
−0.421315 + 0.906914i \(0.638431\pi\)
\(200\) 1.46485i 0.103581i
\(201\) −8.25934 + 2.24861i −0.582569 + 0.158605i
\(202\) 12.3013 7.10215i 0.865515 0.499706i
\(203\) −0.171679 + 8.71138i −0.0120495 + 0.611419i
\(204\) −8.91111 + 2.42606i −0.623902 + 0.169858i
\(205\) −5.34876 + 9.26432i −0.373573 + 0.647048i
\(206\) −1.97125 + 3.41431i −0.137344 + 0.237886i
\(207\) 5.69427 10.0480i 0.395779 0.698384i
\(208\) 2.78800 2.28628i 0.193313 0.158525i
\(209\) 16.4940 1.14092
\(210\) 6.18741 5.99617i 0.426972 0.413775i
\(211\) 6.11057 10.5838i 0.420669 0.728620i −0.575336 0.817917i \(-0.695129\pi\)
0.996005 + 0.0892971i \(0.0284621\pi\)
\(212\) 3.90092 2.25219i 0.267916 0.154681i
\(213\) −19.5648 5.15839i −1.34056 0.353447i
\(214\) −9.59396 16.6172i −0.655829 1.13593i
\(215\) 9.74934 + 16.8864i 0.664900 + 1.15164i
\(216\) 3.71816 + 3.62977i 0.252989 + 0.246975i
\(217\) −6.83236 + 3.76715i −0.463811 + 0.255731i
\(218\) 1.24691 + 0.719902i 0.0844512 + 0.0487579i
\(219\) −6.19996 + 6.24987i −0.418954 + 0.422327i
\(220\) 6.87612i 0.463588i
\(221\) −3.12450 18.9695i −0.210176 1.27603i
\(222\) 3.11625 + 0.821621i 0.209149 + 0.0551436i
\(223\) 2.95147 + 1.70403i 0.197645 + 0.114110i 0.595556 0.803313i \(-0.296932\pi\)
−0.397912 + 0.917424i \(0.630265\pi\)
\(224\) −2.26478 1.36777i −0.151322 0.0913877i
\(225\) −0.0352395 4.39442i −0.00234930 0.292961i
\(226\) −10.7650 −0.716075
\(227\) −6.03232 10.4483i −0.400379 0.693477i 0.593392 0.804913i \(-0.297788\pi\)
−0.993772 + 0.111436i \(0.964455\pi\)
\(228\) −2.05206 7.53740i −0.135901 0.499176i
\(229\) 16.8389i 1.11274i −0.830934 0.556371i \(-0.812193\pi\)
0.830934 0.556371i \(-0.187807\pi\)
\(230\) −3.61917 6.26859i −0.238641 0.413338i
\(231\) −12.0350 + 11.6630i −0.791842 + 0.767368i
\(232\) −1.64661 + 2.85202i −0.108106 + 0.187244i
\(233\) 1.70806i 0.111899i 0.998434 + 0.0559494i \(0.0178186\pi\)
−0.998434 + 0.0559494i \(0.982181\pi\)
\(234\) −8.30872 + 6.92569i −0.543158 + 0.452747i
\(235\) −13.6953 −0.893382
\(236\) −2.45731 + 4.25618i −0.159957 + 0.277054i
\(237\) 17.2501 + 17.1123i 1.12052 + 1.11157i
\(238\) −12.3540 + 6.81160i −0.800789 + 0.441530i
\(239\) 11.8939i 0.769354i −0.923051 0.384677i \(-0.874313\pi\)
0.923051 0.384677i \(-0.125687\pi\)
\(240\) 3.14223 0.855476i 0.202830 0.0552207i
\(241\) −13.5179 + 7.80455i −0.870763 + 0.502735i −0.867602 0.497260i \(-0.834340\pi\)
−0.00316139 + 0.999995i \(0.501006\pi\)
\(242\) 2.37454i 0.152641i
\(243\) −11.2415 10.7995i −0.721139 0.692790i
\(244\) 2.25341 + 1.30101i 0.144260 + 0.0832885i
\(245\) 7.02466 11.1300i 0.448789 0.711068i
\(246\) −9.52898 2.51238i −0.607546 0.160183i
\(247\) 16.0452 2.64283i 1.02093 0.168159i
\(248\) −2.94891 −0.187256
\(249\) −5.85255 5.80580i −0.370890 0.367928i
\(250\) −10.5267 6.07760i −0.665768 0.384381i
\(251\) −12.7766 22.1297i −0.806451 1.39681i −0.915307 0.402756i \(-0.868052\pi\)
0.108857 0.994057i \(-0.465281\pi\)
\(252\) 6.82702 + 4.04868i 0.430062 + 0.255043i
\(253\) 7.03955 + 12.1929i 0.442573 + 0.766558i
\(254\) −14.1211 + 8.15283i −0.886038 + 0.511554i
\(255\) 4.42697 16.7907i 0.277228 1.05147i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −15.2922 + 26.4869i −0.953902 + 1.65221i −0.217042 + 0.976162i \(0.569641\pi\)
−0.736860 + 0.676045i \(0.763692\pi\)
\(258\) −12.6502 + 12.7521i −0.787570 + 0.793911i
\(259\) 4.92187 + 0.0969973i 0.305830 + 0.00602712i
\(260\) 1.10176 + 6.68902i 0.0683281 + 0.414836i
\(261\) 4.87108 8.59540i 0.301512 0.532042i
\(262\) 10.5129 + 6.06961i 0.649488 + 0.374982i
\(263\) −6.24887 3.60779i −0.385322 0.222466i 0.294809 0.955556i \(-0.404744\pi\)
−0.680131 + 0.733090i \(0.738077\pi\)
\(264\) −6.11186 + 1.66396i −0.376159 + 0.102410i
\(265\) 8.46915i 0.520256i
\(266\) −5.76154 10.4495i −0.353263 0.640701i
\(267\) −16.1329 + 4.39221i −0.987320 + 0.268799i
\(268\) −4.94209 −0.301886
\(269\) −10.4463 18.0935i −0.636920 1.10318i −0.986105 0.166124i \(-0.946875\pi\)
0.349185 0.937054i \(-0.386458\pi\)
\(270\) −9.40580 + 2.64194i −0.572419 + 0.160783i
\(271\) 8.97137 + 5.17962i 0.544972 + 0.314640i 0.747092 0.664721i \(-0.231450\pi\)
−0.202120 + 0.979361i \(0.564783\pi\)
\(272\) −5.33209 −0.323306
\(273\) −9.83874 + 13.2740i −0.595468 + 0.803379i
\(274\) −19.2076 −1.16037
\(275\) 4.63943 + 2.67857i 0.279768 + 0.161524i
\(276\) 4.69605 4.73386i 0.282669 0.284945i
\(277\) 9.90633 + 17.1583i 0.595214 + 1.03094i 0.993517 + 0.113686i \(0.0362659\pi\)
−0.398303 + 0.917254i \(0.630401\pi\)
\(278\) −12.2242 −0.733158
\(279\) 8.84645 0.0709411i 0.529623 0.00424713i
\(280\) 4.35625 2.40190i 0.260336 0.143541i
\(281\) 12.7301i 0.759417i −0.925106 0.379709i \(-0.876024\pi\)
0.925106 0.379709i \(-0.123976\pi\)
\(282\) −3.31414 12.1731i −0.197354 0.724898i
\(283\) 20.5311 + 11.8536i 1.22045 + 0.704625i 0.965013 0.262201i \(-0.0844484\pi\)
0.255434 + 0.966827i \(0.417782\pi\)
\(284\) −10.1167 5.84088i −0.600316 0.346592i
\(285\) 14.2023 + 3.74452i 0.841271 + 0.221806i
\(286\) −2.14300 13.0106i −0.126718 0.769335i
\(287\) −15.0503 0.296601i −0.888388 0.0175078i
\(288\) 1.52079 + 2.58596i 0.0896131 + 0.152379i
\(289\) −5.71560 + 9.89971i −0.336212 + 0.582336i
\(290\) −3.09596 5.36237i −0.181801 0.314889i
\(291\) −22.2160 5.85740i −1.30233 0.343367i
\(292\) −4.40172 + 2.54133i −0.257591 + 0.148720i
\(293\) 3.70943 + 6.42492i 0.216707 + 0.375348i 0.953799 0.300444i \(-0.0971350\pi\)
−0.737092 + 0.675792i \(0.763802\pi\)
\(294\) 11.5928 + 3.55054i 0.676107 + 0.207072i
\(295\) −4.62023 8.00247i −0.269000 0.465922i
\(296\) 1.61137 + 0.930327i 0.0936592 + 0.0540742i
\(297\) 18.2950 5.13876i 1.06158 0.298181i
\(298\) 12.5417 0.726519
\(299\) 8.80167 + 10.7332i 0.509014 + 0.620714i
\(300\) 0.646844 2.45336i 0.0373456 0.141645i
\(301\) −14.1845 + 23.4870i −0.817580 + 1.35377i
\(302\) 0.906639 + 0.523448i 0.0521712 + 0.0301211i
\(303\) −23.7385 + 6.46285i −1.36374 + 0.371281i
\(304\) 4.51011i 0.258673i
\(305\) −4.23686 + 2.44615i −0.242602 + 0.140066i
\(306\) 15.9958 0.128272i 0.914417 0.00733285i
\(307\) 28.3173i 1.61615i −0.589077 0.808077i \(-0.700508\pi\)
0.589077 0.808077i \(-0.299492\pi\)
\(308\) −8.47322 + 4.67187i −0.482806 + 0.266205i
\(309\) 4.80917 4.84789i 0.273584 0.275787i
\(310\) 2.77227 4.80171i 0.157454 0.272719i
\(311\) −9.95325 −0.564397 −0.282198 0.959356i \(-0.591064\pi\)
−0.282198 + 0.959356i \(0.591064\pi\)
\(312\) −5.67895 + 2.59799i −0.321507 + 0.147082i
\(313\) 34.5494i 1.95285i 0.215856 + 0.976425i \(0.430746\pi\)
−0.215856 + 0.976425i \(0.569254\pi\)
\(314\) 3.66859 6.35418i 0.207030 0.358587i
\(315\) −13.0105 + 7.31027i −0.733061 + 0.411887i
\(316\) 7.01426 + 12.1491i 0.394583 + 0.683438i
\(317\) 19.1192i 1.07384i 0.843633 + 0.536921i \(0.180413\pi\)
−0.843633 + 0.536921i \(0.819587\pi\)
\(318\) −7.52783 + 2.04946i −0.422140 + 0.114928i
\(319\) 6.02187 + 10.4302i 0.337160 + 0.583978i
\(320\) 1.88020 0.105106
\(321\) 8.73035 + 32.0673i 0.487281 + 1.78982i
\(322\) 5.26559 8.71888i 0.293440 0.485884i
\(323\) −20.8265 12.0242i −1.15882 0.669042i
\(324\) −4.62442 7.72106i −0.256912 0.428948i
\(325\) 4.94238 + 1.86232i 0.274154 + 0.103303i
\(326\) 3.71943i 0.206000i
\(327\) −1.77045 1.75631i −0.0979061 0.0971241i
\(328\) −4.92731 2.84478i −0.272065 0.157077i
\(329\) −9.30505 16.8763i −0.513004 0.930418i
\(330\) 3.03633 11.5162i 0.167144 0.633948i
\(331\) −13.8450 23.9803i −0.760991 1.31807i −0.942340 0.334656i \(-0.891380\pi\)
0.181350 0.983419i \(-0.441953\pi\)
\(332\) −2.37977 4.12188i −0.130607 0.226218i
\(333\) −4.85635 2.75213i −0.266126 0.150816i
\(334\) −0.613896 + 0.354433i −0.0335909 + 0.0193937i
\(335\) 4.64606 8.04721i 0.253841 0.439666i
\(336\) 3.18911 + 3.29083i 0.173980 + 0.179529i
\(337\) 11.3641 0.619042 0.309521 0.950893i \(-0.399831\pi\)
0.309521 + 0.950893i \(0.399831\pi\)
\(338\) −4.16938 12.3133i −0.226784 0.669753i
\(339\) 18.0293 + 4.75355i 0.979220 + 0.258178i
\(340\) 5.01270 8.68224i 0.271852 0.470861i
\(341\) −5.39227 + 9.33968i −0.292008 + 0.505772i
\(342\) 0.108498 + 13.5299i 0.00586692 + 0.731613i
\(343\) 18.4879 + 1.09418i 0.998253 + 0.0590801i
\(344\) −8.98116 + 5.18527i −0.484232 + 0.279571i
\(345\) 3.29339 + 12.0969i 0.177310 + 0.651274i
\(346\) 17.4113i 0.936037i
\(347\) −1.44655 + 0.835165i −0.0776548 + 0.0448340i −0.538325 0.842738i \(-0.680943\pi\)
0.460670 + 0.887572i \(0.347609\pi\)
\(348\) 4.01716 4.04951i 0.215343 0.217076i
\(349\) −12.6119 7.28149i −0.675100 0.389769i 0.122906 0.992418i \(-0.460779\pi\)
−0.798006 + 0.602649i \(0.794112\pi\)
\(350\) 0.0763639 3.87489i 0.00408182 0.207121i
\(351\) 16.9738 7.93033i 0.905994 0.423290i
\(352\) −3.65712 −0.194925
\(353\) 14.7039 25.4679i 0.782611 1.35552i −0.147805 0.989016i \(-0.547221\pi\)
0.930416 0.366505i \(-0.119446\pi\)
\(354\) 5.99497 6.04324i 0.318629 0.321194i
\(355\) 19.0214 10.9820i 1.00955 0.582865i
\(356\) −9.65338 −0.511628
\(357\) 23.6985 5.95296i 1.25426 0.315064i
\(358\) 10.6608 + 18.4651i 0.563442 + 0.975911i
\(359\) 9.42640i 0.497506i −0.968567 0.248753i \(-0.919979\pi\)
0.968567 0.248753i \(-0.0800208\pi\)
\(360\) −5.64041 + 0.0452314i −0.297276 + 0.00238390i
\(361\) 0.670550 1.16143i 0.0352921 0.0611277i
\(362\) 2.20846 3.82516i 0.116074 0.201046i
\(363\) −1.04854 + 3.97692i −0.0550341 + 0.208734i
\(364\) −7.49410 + 5.90242i −0.392797 + 0.309371i
\(365\) 9.55642i 0.500206i
\(366\) −3.19956 3.17400i −0.167243 0.165908i
\(367\) −0.535195 0.308995i −0.0279370 0.0161294i 0.485966 0.873977i \(-0.338468\pi\)
−0.513903 + 0.857848i \(0.671801\pi\)
\(368\) 3.33400 1.92489i 0.173797 0.100342i
\(369\) 14.8499 + 8.41554i 0.773054 + 0.438096i
\(370\) −3.02970 + 1.74920i −0.157507 + 0.0909366i
\(371\) −10.4363 + 5.75423i −0.541824 + 0.298745i
\(372\) 4.93889 + 1.30217i 0.256069 + 0.0675143i
\(373\) −16.4848 28.5526i −0.853552 1.47840i −0.877982 0.478694i \(-0.841110\pi\)
0.0244298 0.999702i \(-0.492223\pi\)
\(374\) −9.75005 + 16.8876i −0.504163 + 0.873237i
\(375\) 14.9466 + 14.8272i 0.771839 + 0.765674i
\(376\) 7.28396i 0.375641i
\(377\) 7.52925 + 9.18151i 0.387776 + 0.472872i
\(378\) −9.64620 9.79545i −0.496147 0.503823i
\(379\) −8.03496 + 13.9170i −0.412728 + 0.714866i −0.995187 0.0979941i \(-0.968757\pi\)
0.582459 + 0.812860i \(0.302091\pi\)
\(380\) 7.34381 + 4.23995i 0.376730 + 0.217505i
\(381\) 27.2504 7.41895i 1.39608 0.380084i
\(382\) 6.10186 0.312198
\(383\) −7.67226 13.2887i −0.392034 0.679023i 0.600684 0.799487i \(-0.294895\pi\)
−0.992718 + 0.120464i \(0.961562\pi\)
\(384\) 0.454992 + 1.67122i 0.0232187 + 0.0852842i
\(385\) 0.358457 18.1890i 0.0182687 0.926995i
\(386\) 15.7646 9.10171i 0.802398 0.463265i
\(387\) 26.8179 15.7714i 1.36323 0.801704i
\(388\) −11.4876 6.63238i −0.583196 0.336708i
\(389\) 11.3388i 0.574898i −0.957796 0.287449i \(-0.907193\pi\)
0.957796 0.287449i \(-0.0928071\pi\)
\(390\) 1.10847 11.6894i 0.0561296 0.591916i
\(391\) 20.5274i 1.03811i
\(392\) 5.91957 + 3.73613i 0.298984 + 0.188703i
\(393\) −14.9269 14.8077i −0.752965 0.746951i
\(394\) −0.816248 1.41378i −0.0411220 0.0712254i
\(395\) −26.3764 −1.32714
\(396\) 10.9710 0.0879783i 0.551314 0.00442107i
\(397\) −21.6176 + 12.4809i −1.08496 + 0.626401i −0.932229 0.361868i \(-0.882139\pi\)
−0.152728 + 0.988268i \(0.548806\pi\)
\(398\) 23.0878 1.15729
\(399\) 5.03527 + 20.0452i 0.252079 + 1.00351i
\(400\) 0.732427 1.26860i 0.0366213 0.0634300i
\(401\) −8.62310 4.97855i −0.430617 0.248617i 0.268992 0.963142i \(-0.413309\pi\)
−0.699610 + 0.714525i \(0.746643\pi\)
\(402\) 8.27710 + 2.18231i 0.412824 + 0.108844i
\(403\) −3.74905 + 9.94956i −0.186754 + 0.495623i
\(404\) −14.2043 −0.706690
\(405\) 16.9196 0.271379i 0.840742 0.0134850i
\(406\) 4.50437 7.45843i 0.223548 0.370156i
\(407\) 5.89299 3.40232i 0.292105 0.168647i
\(408\) 8.93028 + 2.35452i 0.442114 + 0.116566i
\(409\) −3.60971 + 2.08407i −0.178489 + 0.103051i −0.586582 0.809890i \(-0.699527\pi\)
0.408094 + 0.912940i \(0.366194\pi\)
\(410\) 9.26432 5.34876i 0.457532 0.264156i
\(411\) 32.1692 + 8.48161i 1.58679 + 0.418367i
\(412\) 3.41431 1.97125i 0.168211 0.0971168i
\(413\) 6.72204 11.1305i 0.330770 0.547697i
\(414\) −9.95538 + 5.85468i −0.489280 + 0.287742i
\(415\) 8.94888 0.439283
\(416\) −3.55762 + 0.585980i −0.174426 + 0.0287300i
\(417\) 20.4733 + 5.39791i 1.00258 + 0.264337i
\(418\) −14.2842 8.24701i −0.698665 0.403375i
\(419\) −8.71172 + 15.0891i −0.425596 + 0.737153i −0.996476 0.0838802i \(-0.973269\pi\)
0.570880 + 0.821033i \(0.306602\pi\)
\(420\) −8.35654 + 2.09913i −0.407757 + 0.102427i
\(421\) −10.8698 −0.529763 −0.264882 0.964281i \(-0.585333\pi\)
−0.264882 + 0.964281i \(0.585333\pi\)
\(422\) −10.5838 + 6.11057i −0.515212 + 0.297458i
\(423\) 0.175228 + 21.8512i 0.00851987 + 1.06244i
\(424\) −4.50439 −0.218752
\(425\) −3.90537 6.76429i −0.189438 0.328116i
\(426\) 14.3644 + 14.2497i 0.695958 + 0.690400i
\(427\) −5.89298 3.55895i −0.285182 0.172229i
\(428\) 19.1879i 0.927483i
\(429\) −2.15606 + 22.7367i −0.104095 + 1.09774i
\(430\) 19.4987i 0.940310i
\(431\) 25.7111 + 14.8443i 1.23846 + 0.715027i 0.968780 0.247923i \(-0.0797479\pi\)
0.269683 + 0.962949i \(0.413081\pi\)
\(432\) −1.40514 5.00256i −0.0676047 0.240686i
\(433\) 6.53518 3.77309i 0.314061 0.181323i −0.334682 0.942331i \(-0.608629\pi\)
0.648742 + 0.761008i \(0.275295\pi\)
\(434\) 7.80057 + 0.153729i 0.374440 + 0.00737923i
\(435\) 2.81728 + 10.3481i 0.135078 + 0.496153i
\(436\) −0.719902 1.24691i −0.0344771 0.0597160i
\(437\) 17.3629 0.830581
\(438\) 8.49426 2.31257i 0.405871 0.110499i
\(439\) −8.13543 4.69699i −0.388283 0.224175i 0.293133 0.956072i \(-0.405302\pi\)
−0.681416 + 0.731897i \(0.738635\pi\)
\(440\) 3.43806 5.95489i 0.163903 0.283888i
\(441\) −17.8480 11.0656i −0.849906 0.526934i
\(442\) −6.77887 + 17.9903i −0.322438 + 0.855713i
\(443\) 12.6019i 0.598733i −0.954138 0.299366i \(-0.903225\pi\)
0.954138 0.299366i \(-0.0967753\pi\)
\(444\) −2.28795 2.26967i −0.108581 0.107714i
\(445\) 9.07513 15.7186i 0.430203 0.745133i
\(446\) −1.70403 2.95147i −0.0806881 0.139756i
\(447\) −21.0050 5.53810i −0.993502 0.261943i
\(448\) 1.27747 + 2.31691i 0.0603549 + 0.109464i
\(449\) −25.5271 + 14.7381i −1.20470 + 0.695533i −0.961596 0.274468i \(-0.911498\pi\)
−0.243102 + 0.970001i \(0.578165\pi\)
\(450\) −2.16669 + 3.82330i −0.102139 + 0.180232i
\(451\) −18.0198 + 10.4037i −0.848518 + 0.489892i
\(452\) 9.32273 + 5.38248i 0.438505 + 0.253171i
\(453\) −1.28731 1.27703i −0.0604832 0.0600001i
\(454\) 12.0646i 0.566222i
\(455\) −2.56571 17.7515i −0.120282 0.832203i
\(456\) −1.99156 + 7.55361i −0.0932632 + 0.353730i
\(457\) 6.58219 11.4007i 0.307902 0.533302i −0.670001 0.742360i \(-0.733707\pi\)
0.977903 + 0.209058i \(0.0670398\pi\)
\(458\) −8.41943 + 14.5829i −0.393414 + 0.681413i
\(459\) −26.8466 6.84851i −1.25309 0.319661i
\(460\) 7.23834i 0.337489i
\(461\) −18.4159 31.8972i −0.857712 1.48560i −0.874106 0.485735i \(-0.838552\pi\)
0.0163943 0.999866i \(-0.494781\pi\)
\(462\) 16.2541 4.08296i 0.756208 0.189956i
\(463\) 19.2982 0.896865 0.448432 0.893817i \(-0.351983\pi\)
0.448432 + 0.893817i \(0.351983\pi\)
\(464\) 2.85202 1.64661i 0.132402 0.0764422i
\(465\) −6.76337 + 6.81782i −0.313644 + 0.316169i
\(466\) 0.854031 1.47923i 0.0395622 0.0685238i
\(467\) 2.22919 0.103154 0.0515772 0.998669i \(-0.483575\pi\)
0.0515772 + 0.998669i \(0.483575\pi\)
\(468\) 10.6584 1.84347i 0.492685 0.0852143i
\(469\) 13.0730 + 0.257635i 0.603656 + 0.0118965i
\(470\) 11.8605 + 6.84764i 0.547082 + 0.315858i
\(471\) −8.95006 + 9.02212i −0.412397 + 0.415717i
\(472\) 4.25618 2.45731i 0.195907 0.113107i
\(473\) 37.9264i 1.74386i
\(474\) −6.38287 23.4448i −0.293175 1.07685i
\(475\) 5.72153 3.30333i 0.262522 0.151567i
\(476\) 14.1046 + 0.277966i 0.646486 + 0.0127405i
\(477\) 13.5127 0.108361i 0.618706 0.00496150i
\(478\) −5.94696 + 10.3004i −0.272008 + 0.471131i
\(479\) 7.14492 12.3754i 0.326460 0.565445i −0.655347 0.755328i \(-0.727478\pi\)
0.981807 + 0.189883i \(0.0608109\pi\)
\(480\) −3.14899 0.830251i −0.143731 0.0378956i
\(481\) 5.18750 4.25398i 0.236529 0.193965i
\(482\) 15.6091 0.710975
\(483\) −12.6689 + 12.2774i −0.576457 + 0.558640i
\(484\) −1.18727 + 2.05641i −0.0539669 + 0.0934734i
\(485\) 21.5990 12.4702i 0.980760 0.566242i
\(486\) 4.33562 + 14.9734i 0.196668 + 0.679207i
\(487\) −16.1705 28.0081i −0.732754 1.26917i −0.955702 0.294337i \(-0.904901\pi\)
0.222948 0.974830i \(-0.428432\pi\)
\(488\) −1.30101 2.25341i −0.0588938 0.102007i
\(489\) 1.64241 6.22936i 0.0742724 0.281702i
\(490\) −11.6485 + 6.12651i −0.526227 + 0.276767i
\(491\) 37.9516 + 21.9114i 1.71273 + 0.988847i 0.930834 + 0.365442i \(0.119082\pi\)
0.781899 + 0.623405i \(0.214251\pi\)
\(492\) 6.99615 + 6.94027i 0.315411 + 0.312892i
\(493\) 17.5598i 0.790854i
\(494\) −15.2170 5.73386i −0.684645 0.257979i
\(495\) −10.1706 + 17.9468i −0.457134 + 0.806649i
\(496\) 2.55383 + 1.47446i 0.114670 + 0.0662050i
\(497\) 26.4566 + 15.9779i 1.18674 + 0.716707i
\(498\) 2.16555 + 7.95424i 0.0970407 + 0.356438i
\(499\) 28.9528 1.29611 0.648054 0.761595i \(-0.275583\pi\)
0.648054 + 0.761595i \(0.275583\pi\)
\(500\) 6.07760 + 10.5267i 0.271799 + 0.470769i
\(501\) 1.18467 0.322528i 0.0529273 0.0144095i
\(502\) 25.5532i 1.14049i
\(503\) −9.17611 15.8935i −0.409143 0.708656i 0.585651 0.810563i \(-0.300839\pi\)
−0.994794 + 0.101907i \(0.967505\pi\)
\(504\) −3.88803 6.91977i −0.173187 0.308231i
\(505\) 13.3535 23.1289i 0.594221 1.02922i
\(506\) 14.0791i 0.625892i
\(507\) 1.54571 + 22.4635i 0.0686473 + 0.997641i
\(508\) 16.3057 0.723447
\(509\) −19.9332 + 34.5253i −0.883523 + 1.53031i −0.0361262 + 0.999347i \(0.511502\pi\)
−0.847397 + 0.530960i \(0.821832\pi\)
\(510\) −12.2292 + 12.3277i −0.541519 + 0.545879i
\(511\) 11.7761 6.49296i 0.520942 0.287232i
\(512\) 1.00000i 0.0441942i
\(513\) 5.79277 22.7080i 0.255757 1.00258i
\(514\) 26.4869 15.2922i 1.16829 0.674511i
\(515\) 7.41270i 0.326643i
\(516\) 17.3315 4.71852i 0.762976 0.207721i
\(517\) −23.0695 13.3192i −1.01459 0.585776i
\(518\) −4.21397 2.54494i −0.185151 0.111818i
\(519\) 7.68841 29.1607i 0.337484 1.28001i
\(520\) 2.39036 6.34374i 0.104824 0.278192i
\(521\) −14.1304 −0.619063 −0.309531 0.950889i \(-0.600172\pi\)
−0.309531 + 0.950889i \(0.600172\pi\)
\(522\) −8.51617 + 5.00830i −0.372743 + 0.219207i
\(523\) 28.0353 + 16.1862i 1.22590 + 0.707773i 0.966169 0.257909i \(-0.0830334\pi\)
0.259729 + 0.965681i \(0.416367\pi\)
\(524\) −6.06961 10.5129i −0.265152 0.459257i
\(525\) −1.83895 + 6.45600i −0.0802585 + 0.281763i
\(526\) 3.60779 + 6.24887i 0.157307 + 0.272464i
\(527\) 13.6173 7.86194i 0.593178 0.342471i
\(528\) 6.12501 + 1.61490i 0.266557 + 0.0702794i
\(529\) −4.08962 7.08342i −0.177809 0.307975i
\(530\) 4.23457 7.33450i 0.183938 0.318590i
\(531\) −12.7090 + 7.47408i −0.551525 + 0.324347i
\(532\) −0.235115 + 11.9303i −0.0101935 + 0.517245i
\(533\) −15.8625 + 13.0079i −0.687081 + 0.563437i
\(534\) 16.1676 + 4.26270i 0.699642 + 0.184465i
\(535\) −31.2437 18.0385i −1.35078 0.779874i
\(536\) 4.27998 + 2.47105i 0.184867 + 0.106733i
\(537\) −9.70119 35.6332i −0.418637 1.53769i
\(538\) 20.8925i 0.900740i
\(539\) 22.6572 11.9165i 0.975916 0.513280i
\(540\) 9.46663 + 2.41492i 0.407379 + 0.103922i
\(541\) −31.4192 −1.35082 −0.675409 0.737444i \(-0.736033\pi\)
−0.675409 + 0.737444i \(0.736033\pi\)
\(542\) −5.17962 8.97137i −0.222484 0.385353i
\(543\) −5.38786 + 5.43124i −0.231215 + 0.233077i
\(544\) 4.61773 + 2.66605i 0.197983 + 0.114306i
\(545\) 2.70712 0.115960
\(546\) 15.1576 6.57625i 0.648686 0.281438i
\(547\) −43.4777 −1.85897 −0.929485 0.368859i \(-0.879749\pi\)
−0.929485 + 0.368859i \(0.879749\pi\)
\(548\) 16.6342 + 9.60379i 0.710580 + 0.410253i
\(549\) 3.95711 + 6.72872i 0.168885 + 0.287175i
\(550\) −2.67857 4.63943i −0.114215 0.197826i
\(551\) 14.8528 0.632752
\(552\) −6.43383 + 1.75162i −0.273842 + 0.0745538i
\(553\) −17.9211 32.5028i −0.762081 1.38216i
\(554\) 19.8127i 0.841759i
\(555\) 5.84660 1.59174i 0.248174 0.0675658i
\(556\) 10.5865 + 6.11210i 0.448966 + 0.259211i
\(557\) 18.9140 + 10.9200i 0.801413 + 0.462696i 0.843965 0.536398i \(-0.180215\pi\)
−0.0425518 + 0.999094i \(0.513549\pi\)
\(558\) −7.69672 4.36179i −0.325828 0.184649i
\(559\) 6.07693 + 36.8944i 0.257027 + 1.56047i
\(560\) −4.97357 0.0980162i −0.210172 0.00414194i
\(561\) 23.7867 23.9782i 1.00428 1.01236i
\(562\) −6.36507 + 11.0246i −0.268494 + 0.465046i
\(563\) 21.3261 + 36.9379i 0.898788 + 1.55675i 0.829046 + 0.559181i \(0.188884\pi\)
0.0697416 + 0.997565i \(0.477783\pi\)
\(564\) −3.21642 + 12.1993i −0.135436 + 0.513683i
\(565\) −17.5286 + 10.1201i −0.737433 + 0.425757i
\(566\) −11.8536 20.5311i −0.498245 0.862986i
\(567\) 11.8302 + 20.6651i 0.496821 + 0.867853i
\(568\) 5.84088 + 10.1167i 0.245078 + 0.424487i
\(569\) −3.04705 1.75922i −0.127739 0.0737502i 0.434769 0.900542i \(-0.356830\pi\)
−0.562508 + 0.826792i \(0.690163\pi\)
\(570\) −10.4273 10.3440i −0.436751 0.433262i
\(571\) −42.4925 −1.77825 −0.889127 0.457660i \(-0.848688\pi\)
−0.889127 + 0.457660i \(0.848688\pi\)
\(572\) −4.64943 + 12.3390i −0.194402 + 0.515921i
\(573\) −10.2195 2.69443i −0.426925 0.112562i
\(574\) 12.8856 + 7.78199i 0.537835 + 0.324814i
\(575\) 4.88383 + 2.81968i 0.203670 + 0.117589i
\(576\) −0.0240567 2.99990i −0.00100236 0.124996i
\(577\) 16.1255i 0.671315i 0.941984 + 0.335658i \(0.108959\pi\)
−0.941984 + 0.335658i \(0.891041\pi\)
\(578\) 9.89971 5.71560i 0.411774 0.237738i
\(579\) −30.4220 + 8.28241i −1.26429 + 0.344205i
\(580\) 6.19193i 0.257106i
\(581\) 6.08018 + 11.0274i 0.252248 + 0.457494i
\(582\) 16.3110 + 16.1807i 0.676111 + 0.670711i
\(583\) −8.23655 + 14.2661i −0.341123 + 0.590843i
\(584\) 5.08266 0.210322
\(585\) −7.01824 + 19.0881i −0.290169 + 0.789197i
\(586\) 7.41886i 0.306470i
\(587\) 15.6938 27.1824i 0.647750 1.12194i −0.335909 0.941895i \(-0.609043\pi\)
0.983659 0.180042i \(-0.0576234\pi\)
\(588\) −8.26441 8.87127i −0.340819 0.365845i
\(589\) 6.64996 + 11.5181i 0.274007 + 0.474594i
\(590\) 9.24046i 0.380424i
\(591\) 0.742773 + 2.72826i 0.0305536 + 0.112226i
\(592\) −0.930327 1.61137i −0.0382362 0.0662271i
\(593\) 14.7809 0.606979 0.303489 0.952835i \(-0.401848\pi\)
0.303489 + 0.952835i \(0.401848\pi\)
\(594\) −18.4133 4.69719i −0.755506 0.192728i
\(595\) −13.7124 + 22.7053i −0.562153 + 0.930826i
\(596\) −10.8614 6.27084i −0.444900 0.256863i
\(597\) −38.6679 10.1950i −1.58257 0.417255i
\(598\) −2.25589 13.6960i −0.0922502 0.560072i
\(599\) 25.5246i 1.04290i 0.853280 + 0.521452i \(0.174610\pi\)
−0.853280 + 0.521452i \(0.825390\pi\)
\(600\) −1.78686 + 1.80125i −0.0729484 + 0.0735358i
\(601\) −26.1186 15.0796i −1.06540 0.615110i −0.138480 0.990365i \(-0.544222\pi\)
−0.926922 + 0.375255i \(0.877555\pi\)
\(602\) 24.0276 13.2481i 0.979292 0.539952i
\(603\) −12.8990 7.30994i −0.525287 0.297684i
\(604\) −0.523448 0.906639i −0.0212988 0.0368906i
\(605\) −2.23231 3.86647i −0.0907561 0.157194i
\(606\) 23.7896 + 6.27228i 0.966386 + 0.254794i
\(607\) 35.0826 20.2550i 1.42396 0.822124i 0.427326 0.904098i \(-0.359456\pi\)
0.996634 + 0.0819738i \(0.0261224\pi\)
\(608\) −2.25506 + 3.90587i −0.0914546 + 0.158404i
\(609\) −10.8375 + 10.5025i −0.439156 + 0.425582i
\(610\) 4.89230 0.198084
\(611\) −24.5759 9.26035i −0.994234 0.374634i
\(612\) −13.9169 7.88679i −0.562556 0.318805i
\(613\) 8.80698 15.2541i 0.355711 0.616109i −0.631529 0.775352i \(-0.717572\pi\)
0.987239 + 0.159244i \(0.0509055\pi\)
\(614\) −14.1587 + 24.5235i −0.571397 + 0.989688i
\(615\) −17.8779 + 4.86728i −0.720907 + 0.196268i
\(616\) 9.67396 + 0.190649i 0.389775 + 0.00768145i
\(617\) −18.1108 + 10.4563i −0.729113 + 0.420954i −0.818098 0.575079i \(-0.804971\pi\)
0.0889845 + 0.996033i \(0.471638\pi\)
\(618\) −6.58881 + 1.79381i −0.265041 + 0.0721577i
\(619\) 0.896815i 0.0360460i 0.999838 + 0.0180230i \(0.00573722\pi\)
−0.999838 + 0.0180230i \(0.994263\pi\)
\(620\) −4.80171 + 2.77227i −0.192841 + 0.111337i
\(621\) 19.2587 5.40946i 0.772826 0.217074i
\(622\) 8.61976 + 4.97662i 0.345621 + 0.199544i
\(623\) 25.5355 + 0.503238i 1.02306 + 0.0201618i
\(624\) 6.21711 + 0.589550i 0.248884 + 0.0236009i
\(625\) −15.5299 −0.621197
\(626\) 17.2747 29.9207i 0.690437 1.19587i
\(627\) 20.2818 + 20.1198i 0.809977 + 0.803508i
\(628\) −6.35418 + 3.66859i −0.253559 + 0.146393i
\(629\) −9.92118 −0.395583
\(630\) 14.9226 + 0.174391i 0.594530 + 0.00694792i
\(631\) 6.46286 + 11.1940i 0.257282 + 0.445626i 0.965513 0.260355i \(-0.0838397\pi\)
−0.708231 + 0.705981i \(0.750506\pi\)
\(632\) 14.0285i 0.558025i
\(633\) 20.4242 5.56052i 0.811790 0.221011i
\(634\) 9.55960 16.5577i 0.379660 0.657591i
\(635\) −15.3289 + 26.5505i −0.608311 + 1.05363i
\(636\) 7.54403 + 1.98903i 0.299140 + 0.0788702i
\(637\) 20.1314 15.2226i 0.797634 0.603142i
\(638\) 12.0437i 0.476816i
\(639\) −17.7654 30.2086i −0.702790 1.19503i
\(640\) −1.62830 0.940099i −0.0643642 0.0371607i
\(641\) 5.88556 3.39803i 0.232466 0.134214i −0.379243 0.925297i \(-0.623816\pi\)
0.611709 + 0.791083i \(0.290482\pi\)
\(642\) 8.47292 32.1362i 0.334400 1.26832i
\(643\) 24.8365 14.3393i 0.979454 0.565488i 0.0773487 0.997004i \(-0.475355\pi\)
0.902105 + 0.431516i \(0.142021\pi\)
\(644\) −8.91958 + 4.91798i −0.351481 + 0.193796i
\(645\) −8.61015 + 32.6567i −0.339025 + 1.28586i
\(646\) 12.0242 + 20.8265i 0.473084 + 0.819406i
\(647\) −22.4155 + 38.8248i −0.881244 + 1.52636i −0.0312853 + 0.999510i \(0.509960\pi\)
−0.849959 + 0.526849i \(0.823373\pi\)
\(648\) 0.144336 + 8.99884i 0.00567003 + 0.353508i
\(649\) 17.9734i 0.705516i
\(650\) −3.34907 4.08401i −0.131361 0.160188i
\(651\) −12.9966 3.70202i −0.509379 0.145093i
\(652\) 1.85972 3.22112i 0.0728321 0.126149i
\(653\) −31.3506 18.1003i −1.22684 0.708319i −0.260476 0.965480i \(-0.583879\pi\)
−0.966368 + 0.257162i \(0.917213\pi\)
\(654\) 0.655100 + 2.40623i 0.0256164 + 0.0940911i
\(655\) 22.8241 0.891813
\(656\) 2.84478 + 4.92731i 0.111070 + 0.192379i
\(657\) −15.2475 + 0.122272i −0.594862 + 0.00477029i
\(658\) −0.379718 + 19.2678i −0.0148030 + 0.751137i
\(659\) 16.0130 9.24511i 0.623778 0.360139i −0.154560 0.987983i \(-0.549396\pi\)
0.778339 + 0.627845i \(0.216063\pi\)
\(660\) −8.38765 + 8.45519i −0.326489 + 0.329118i
\(661\) −6.36345 3.67394i −0.247509 0.142900i 0.371114 0.928587i \(-0.378976\pi\)
−0.618623 + 0.785688i \(0.712309\pi\)
\(662\) 27.6900i 1.07620i
\(663\) 19.2975 27.1371i 0.749452 1.05392i
\(664\) 4.75954i 0.184706i
\(665\) −19.2051 11.5985i −0.744742 0.449771i
\(666\) 2.82966 + 4.81159i 0.109647 + 0.186445i
\(667\) 6.33910 + 10.9796i 0.245451 + 0.425133i
\(668\) 0.708866 0.0274268
\(669\) 1.55064 + 5.69562i 0.0599512 + 0.220205i
\(670\) −8.04721 + 4.64606i −0.310891 + 0.179493i
\(671\) −9.51589 −0.367357
\(672\) −1.11644 4.44450i −0.0430676 0.171450i
\(673\) 3.97107 6.87810i 0.153074 0.265131i −0.779282 0.626673i \(-0.784416\pi\)
0.932356 + 0.361542i \(0.117749\pi\)
\(674\) −9.84160 5.68205i −0.379084 0.218864i
\(675\) 5.31709 5.44656i 0.204655 0.209638i
\(676\) −2.54584 + 12.7483i −0.0979169 + 0.490319i
\(677\) 21.3321 0.819857 0.409929 0.912118i \(-0.365554\pi\)
0.409929 + 0.912118i \(0.365554\pi\)
\(678\) −13.2371 13.1314i −0.508368 0.504307i
\(679\) 30.0417 + 18.1431i 1.15290 + 0.696268i
\(680\) −8.68224 + 5.01270i −0.332949 + 0.192228i
\(681\) 5.32746 20.2061i 0.204149 0.774298i
\(682\) 9.33968 5.39227i 0.357635 0.206481i
\(683\) −26.4657 + 15.2800i −1.01268 + 0.584673i −0.911976 0.410244i \(-0.865444\pi\)
−0.100707 + 0.994916i \(0.532110\pi\)
\(684\) 6.67099 11.7715i 0.255072 0.450094i
\(685\) −31.2757 + 18.0570i −1.19498 + 0.689923i
\(686\) −15.4639 10.1915i −0.590415 0.389115i
\(687\) 20.5404 20.7058i 0.783667 0.789976i
\(688\) 10.3705 0.395373
\(689\) −5.72659 + 15.1977i −0.218166 + 0.578986i
\(690\) 3.19628 12.1229i 0.121680 0.461511i
\(691\) −43.3712 25.0404i −1.64992 0.952580i −0.977103 0.212768i \(-0.931752\pi\)
−0.672814 0.739812i \(-0.734915\pi\)
\(692\) 8.70565 15.0786i 0.330939 0.573203i
\(693\) −29.0255 0.339204i −1.10259 0.0128853i
\(694\) 1.67033 0.0634049
\(695\) −19.9047 + 11.4920i −0.755026 + 0.435915i
\(696\) −5.50372 + 1.49839i −0.208618 + 0.0567965i
\(697\) 30.3373 1.14911
\(698\) 7.28149 + 12.6119i 0.275608 + 0.477368i
\(699\) −2.08354 + 2.10031i −0.0788066 + 0.0794411i
\(700\) −2.00358 + 3.31757i −0.0757281 + 0.125392i
\(701\) 23.8423i 0.900510i 0.892900 + 0.450255i \(0.148667\pi\)
−0.892900 + 0.450255i \(0.851333\pi\)
\(702\) −18.6649 1.61903i −0.704462 0.0611063i
\(703\) 8.39176i 0.316501i
\(704\) 3.16716 + 1.82856i 0.119367 + 0.0689165i
\(705\) −16.8403 16.7058i −0.634244 0.629179i
\(706\) −25.4679 + 14.7039i −0.958499 + 0.553389i
\(707\) 37.5738 + 0.740481i 1.41311 + 0.0278486i
\(708\) −8.21342 + 2.23611i −0.308679 + 0.0840382i
\(709\) 4.91229 + 8.50834i 0.184485 + 0.319537i 0.943403 0.331649i \(-0.107605\pi\)
−0.758918 + 0.651186i \(0.774272\pi\)
\(710\) −21.9640 −0.824295
\(711\) 0.337480 + 42.0842i 0.0126565 + 1.57828i
\(712\) 8.36007 + 4.82669i 0.313307 + 0.180888i
\(713\) −5.67632 + 9.83168i −0.212580 + 0.368199i
\(714\) −23.5000 6.69382i −0.879464 0.250510i
\(715\) −15.7207 19.1706i −0.587922 0.716939i
\(716\) 21.3217i 0.796828i
\(717\) 14.5085 14.6253i 0.541830 0.546192i
\(718\) −4.71320 + 8.16350i −0.175895 + 0.304659i
\(719\) −10.0304 17.3732i −0.374073 0.647913i 0.616115 0.787656i \(-0.288706\pi\)
−0.990188 + 0.139743i \(0.955372\pi\)
\(720\) 4.90736 + 2.78104i 0.182886 + 0.103643i
\(721\) −9.13443 + 5.03645i −0.340184 + 0.187567i
\(722\) −1.16143 + 0.670550i −0.0432238 + 0.0249553i
\(723\) −26.1424 6.89261i −0.972246 0.256339i
\(724\) −3.82516 + 2.20846i −0.142161 + 0.0820766i
\(725\) 4.17779 + 2.41205i 0.155159 + 0.0895813i
\(726\) 2.89653 2.91985i 0.107500 0.108366i
\(727\) 31.1508i 1.15532i −0.816277 0.577660i \(-0.803966\pi\)
0.816277 0.577660i \(-0.196034\pi\)
\(728\) 9.44129 1.36459i 0.349917 0.0505752i
\(729\) −0.649475 26.9922i −0.0240546 0.999711i
\(730\) −4.77821 + 8.27610i −0.176849 + 0.306312i
\(731\) 27.6484 47.8884i 1.02261 1.77121i
\(732\) 1.18390 + 4.34854i 0.0437581 + 0.160727i
\(733\) 8.10545i 0.299381i −0.988733 0.149691i \(-0.952172\pi\)
0.988733 0.149691i \(-0.0478278\pi\)
\(734\) 0.308995 + 0.535195i 0.0114052 + 0.0197544i
\(735\) 22.2145 5.11706i 0.819393 0.188746i
\(736\) −3.84978 −0.141905
\(737\) 15.6524 9.03692i 0.576564 0.332879i
\(738\) −8.65261 14.7130i −0.318507 0.541594i
\(739\) −13.6636 + 23.6661i −0.502624 + 0.870571i 0.497371 + 0.867538i \(0.334299\pi\)
−0.999995 + 0.00303311i \(0.999035\pi\)
\(740\) 3.49840 0.128604
\(741\) 22.9538 + 16.3226i 0.843227 + 0.599627i
\(742\) 11.9152 + 0.234817i 0.437420 + 0.00862041i
\(743\) 15.4302 + 8.90864i 0.566080 + 0.326826i 0.755582 0.655054i \(-0.227354\pi\)
−0.189502 + 0.981880i \(0.560687\pi\)
\(744\) −3.62612 3.59716i −0.132940 0.131878i
\(745\) 20.4216 11.7904i 0.748189 0.431967i
\(746\) 32.9697i 1.20710i
\(747\) −0.114499 14.2782i −0.00418929 0.522410i
\(748\) 16.8876 9.75005i 0.617471 0.356497i
\(749\) 1.00028 50.7566i 0.0365494 1.85461i
\(750\) −5.53052 20.3140i −0.201946 0.741764i
\(751\) 4.80280 8.31870i 0.175257 0.303554i −0.764993 0.644038i \(-0.777258\pi\)
0.940250 + 0.340485i \(0.110591\pi\)
\(752\) −3.64198 + 6.30809i −0.132809 + 0.230032i
\(753\) 11.2837 42.7969i 0.411200 1.55960i
\(754\) −1.92977 11.7160i −0.0702779 0.426673i
\(755\) 1.96837 0.0716364
\(756\) 3.45613 + 13.3062i 0.125698 + 0.483942i
\(757\) 12.3404 21.3742i 0.448519 0.776857i −0.549771 0.835315i \(-0.685285\pi\)
0.998290 + 0.0584582i \(0.0186184\pi\)
\(758\) 13.9170 8.03496i 0.505487 0.291843i
\(759\) −6.21699 + 23.5799i −0.225663 + 0.855896i
\(760\) −4.23995 7.34381i −0.153799 0.266388i
\(761\) 13.7476 + 23.8116i 0.498351 + 0.863169i 0.999998 0.00190348i \(-0.000605897\pi\)
−0.501648 + 0.865072i \(0.667273\pi\)
\(762\) −27.3090 7.20019i −0.989301 0.260836i
\(763\) 1.83931 + 3.33589i 0.0665875 + 0.120767i
\(764\) −5.28436 3.05093i −0.191182 0.110379i
\(765\) 25.9253 15.2465i 0.937331 0.551237i
\(766\) 15.3445i 0.554420i
\(767\) −2.87987 17.4843i −0.103986 0.631322i
\(768\) 0.441576 1.67482i 0.0159340 0.0604347i
\(769\) 13.7770 + 7.95414i 0.496811 + 0.286834i 0.727395 0.686218i \(-0.240731\pi\)
−0.230585 + 0.973052i \(0.574064\pi\)
\(770\) −9.40491 + 15.5729i −0.338930 + 0.561207i
\(771\) −51.1134 + 13.9157i −1.84080 + 0.501161i
\(772\) −18.2034 −0.655156
\(773\) 25.4490 + 44.0790i 0.915337 + 1.58541i 0.806407 + 0.591361i \(0.201409\pi\)
0.108931 + 0.994049i \(0.465257\pi\)
\(774\) −31.1106 + 0.249481i −1.11825 + 0.00896741i
\(775\) 4.31972i 0.155169i