Properties

Label 546.2.bg.a.467.4
Level $546$
Weight $2$
Character 546.467
Analytic conductor $4.360$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 467.4
Character \(\chi\) \(=\) 546.467
Dual form 546.2.bg.a.311.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.34147 - 1.09565i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.44950 - 1.41422i) q^{5} +(1.61960 - 0.613923i) q^{6} +(-2.60728 - 0.449563i) q^{7} +1.00000 q^{8} +(0.599095 + 2.93957i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.34147 - 1.09565i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.44950 - 1.41422i) q^{5} +(1.61960 - 0.613923i) q^{6} +(-2.60728 - 0.449563i) q^{7} +1.00000 q^{8} +(0.599095 + 2.93957i) q^{9} +(2.44950 - 1.41422i) q^{10} +(-2.97657 - 5.15557i) q^{11} +(-0.278126 + 1.70957i) q^{12} +(3.07921 + 1.87576i) q^{13} +(1.69297 - 2.03319i) q^{14} +(1.73644 + 4.58093i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(2.83737 + 4.91448i) q^{17} +(-2.84529 - 0.950954i) q^{18} +(-0.972964 + 1.68522i) q^{19} +2.82844i q^{20} +(3.00503 + 3.45974i) q^{21} +5.95314 q^{22} +(-2.43857 - 1.40791i) q^{23} +(-1.34147 - 1.09565i) q^{24} +(1.50002 + 2.59812i) q^{25} +(-3.16406 + 1.72880i) q^{26} +(2.41708 - 4.59975i) q^{27} +(0.914306 + 2.48275i) q^{28} +0.0658578i q^{29} +(-4.83542 - 0.786662i) q^{30} +(4.39516 + 7.61265i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-1.65572 + 10.1773i) q^{33} -5.67475 q^{34} +(5.75074 + 4.78846i) q^{35} +(2.24620 - 1.98862i) q^{36} +(0.160796 + 0.0928358i) q^{37} +(-0.972964 - 1.68522i) q^{38} +(-2.07550 - 5.89002i) q^{39} +(-2.44950 - 1.41422i) q^{40} +4.04876i q^{41} +(-4.49874 + 0.872557i) q^{42} +3.48177 q^{43} +(-2.97657 + 5.15557i) q^{44} +(2.68971 - 8.04773i) q^{45} +(2.43857 - 1.40791i) q^{46} +(6.77981 + 3.91432i) q^{47} +(1.61960 - 0.613923i) q^{48} +(6.59579 + 2.34427i) q^{49} -3.00005 q^{50} +(1.57830 - 9.70141i) q^{51} +(0.0848486 - 3.60455i) q^{52} +(-3.77930 + 2.18198i) q^{53} +(2.77497 + 4.39313i) q^{54} +16.8381i q^{55} +(-2.60728 - 0.449563i) q^{56} +(3.15162 - 1.19465i) q^{57} +(-0.0570345 - 0.0329289i) q^{58} +(-11.6234 + 6.71079i) q^{59} +(3.09898 - 3.79427i) q^{60} +(-12.8084 - 7.39493i) q^{61} -8.79033 q^{62} +(-0.240485 - 7.93361i) q^{63} +1.00000 q^{64} +(-4.88979 - 8.94934i) q^{65} +(-7.98598 - 6.52257i) q^{66} +(0.912896 - 0.527061i) q^{67} +(2.83737 - 4.91448i) q^{68} +(1.72869 + 4.56049i) q^{69} +(-7.02230 + 2.58606i) q^{70} -6.16979 q^{71} +(0.599095 + 2.93957i) q^{72} +(-0.140240 - 0.242904i) q^{73} +(-0.160796 + 0.0928358i) q^{74} +(0.834392 - 5.12881i) q^{75} +1.94593 q^{76} +(5.44299 + 14.7802i) q^{77} +(6.13865 + 1.14757i) q^{78} +(4.18074 - 7.24125i) q^{79} +(2.44950 - 1.41422i) q^{80} +(-8.28217 + 3.52217i) q^{81} +(-3.50633 - 2.02438i) q^{82} -0.940520i q^{83} +(1.49371 - 4.33230i) q^{84} -16.0507i q^{85} +(-1.74089 + 3.01530i) q^{86} +(0.0721572 - 0.0883464i) q^{87} +(-2.97657 - 5.15557i) q^{88} +(4.61927 + 2.66694i) q^{89} +(5.62468 + 6.35322i) q^{90} +(-7.18508 - 6.27492i) q^{91} +2.81581i q^{92} +(2.44482 - 15.0277i) q^{93} +(-6.77981 + 3.91432i) q^{94} +(4.76654 - 2.75197i) q^{95} +(-0.278126 + 1.70957i) q^{96} +9.60289 q^{97} +(-5.32809 + 4.53998i) q^{98} +(13.3719 - 11.8385i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 18q^{2} - 18q^{4} + 36q^{8} + 4q^{9} + O(q^{10}) \) \( 36q - 18q^{2} - 18q^{4} + 36q^{8} + 4q^{9} - 14q^{15} - 18q^{16} + 4q^{18} + 23q^{21} + 14q^{25} - 6q^{26} + 7q^{30} - 18q^{32} + 24q^{33} - 8q^{36} - 10q^{39} - 16q^{42} - 16q^{43} - 9q^{45} + 72q^{47} + 12q^{49} - 28q^{50} - 3q^{51} + 6q^{52} + 9q^{54} - 8q^{57} + 24q^{59} + 7q^{60} - 36q^{61} - 39q^{63} + 36q^{64} + 18q^{65} - 24q^{66} - 72q^{71} + 4q^{72} + 54q^{75} + 20q^{78} + 20q^{79} - 20q^{81} - 24q^{82} - 7q^{84} + 8q^{86} - 24q^{87} - 72q^{89} - 2q^{91} - 14q^{93} - 72q^{94} - 12q^{98} + 72q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) −1.34147 1.09565i −0.774499 0.632575i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) −2.44950 1.41422i −1.09545 0.632458i −0.160427 0.987048i \(-0.551287\pi\)
−0.935022 + 0.354590i \(0.884620\pi\)
\(6\) 1.61960 0.613923i 0.661198 0.250633i
\(7\) −2.60728 0.449563i −0.985458 0.169919i
\(8\) 1.00000 0.353553
\(9\) 0.599095 + 2.93957i 0.199698 + 0.979857i
\(10\) 2.44950 1.41422i 0.774599 0.447215i
\(11\) −2.97657 5.15557i −0.897470 1.55446i −0.830718 0.556694i \(-0.812070\pi\)
−0.0667525 0.997770i \(-0.521264\pi\)
\(12\) −0.278126 + 1.70957i −0.0802881 + 0.493512i
\(13\) 3.07921 + 1.87576i 0.854019 + 0.520241i
\(14\) 1.69297 2.03319i 0.452466 0.543392i
\(15\) 1.73644 + 4.58093i 0.448348 + 1.18279i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 2.83737 + 4.91448i 0.688164 + 1.19194i 0.972431 + 0.233190i \(0.0749165\pi\)
−0.284267 + 0.958745i \(0.591750\pi\)
\(18\) −2.84529 0.950954i −0.670642 0.224142i
\(19\) −0.972964 + 1.68522i −0.223213 + 0.386617i −0.955782 0.294077i \(-0.904988\pi\)
0.732569 + 0.680693i \(0.238321\pi\)
\(20\) 2.82844i 0.632458i
\(21\) 3.00503 + 3.45974i 0.655750 + 0.754978i
\(22\) 5.95314 1.26921
\(23\) −2.43857 1.40791i −0.508476 0.293569i 0.223731 0.974651i \(-0.428176\pi\)
−0.732207 + 0.681082i \(0.761510\pi\)
\(24\) −1.34147 1.09565i −0.273827 0.223649i
\(25\) 1.50002 + 2.59812i 0.300005 + 0.519624i
\(26\) −3.16406 + 1.72880i −0.620523 + 0.339045i
\(27\) 2.41708 4.59975i 0.465167 0.885223i
\(28\) 0.914306 + 2.48275i 0.172788 + 0.469196i
\(29\) 0.0658578i 0.0122295i 0.999981 + 0.00611474i \(0.00194640\pi\)
−0.999981 + 0.00611474i \(0.998054\pi\)
\(30\) −4.83542 0.786662i −0.882823 0.143624i
\(31\) 4.39516 + 7.61265i 0.789395 + 1.36727i 0.926338 + 0.376693i \(0.122939\pi\)
−0.136944 + 0.990579i \(0.543728\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −1.65572 + 10.1773i −0.288225 + 1.77165i
\(34\) −5.67475 −0.973211
\(35\) 5.75074 + 4.78846i 0.972052 + 0.809398i
\(36\) 2.24620 1.98862i 0.374366 0.331436i
\(37\) 0.160796 + 0.0928358i 0.0264348 + 0.0152621i 0.513159 0.858293i \(-0.328475\pi\)
−0.486724 + 0.873556i \(0.661808\pi\)
\(38\) −0.972964 1.68522i −0.157836 0.273379i
\(39\) −2.07550 5.89002i −0.332346 0.943158i
\(40\) −2.44950 1.41422i −0.387300 0.223607i
\(41\) 4.04876i 0.632310i 0.948707 + 0.316155i \(0.102392\pi\)
−0.948707 + 0.316155i \(0.897608\pi\)
\(42\) −4.49874 + 0.872557i −0.694170 + 0.134638i
\(43\) 3.48177 0.530965 0.265483 0.964116i \(-0.414469\pi\)
0.265483 + 0.964116i \(0.414469\pi\)
\(44\) −2.97657 + 5.15557i −0.448735 + 0.777232i
\(45\) 2.68971 8.04773i 0.400959 1.19968i
\(46\) 2.43857 1.40791i 0.359547 0.207585i
\(47\) 6.77981 + 3.91432i 0.988937 + 0.570963i 0.904956 0.425505i \(-0.139903\pi\)
0.0839804 + 0.996467i \(0.473237\pi\)
\(48\) 1.61960 0.613923i 0.233769 0.0886122i
\(49\) 6.59579 + 2.34427i 0.942255 + 0.334896i
\(50\) −3.00005 −0.424271
\(51\) 1.57830 9.70141i 0.221006 1.35847i
\(52\) 0.0848486 3.60455i 0.0117664 0.499862i
\(53\) −3.77930 + 2.18198i −0.519127 + 0.299718i −0.736578 0.676353i \(-0.763559\pi\)
0.217450 + 0.976071i \(0.430226\pi\)
\(54\) 2.77497 + 4.39313i 0.377625 + 0.597829i
\(55\) 16.8381i 2.27045i
\(56\) −2.60728 0.449563i −0.348412 0.0600753i
\(57\) 3.15162 1.19465i 0.417442 0.158235i
\(58\) −0.0570345 0.0329289i −0.00748900 0.00432378i
\(59\) −11.6234 + 6.71079i −1.51324 + 0.873670i −0.513361 + 0.858173i \(0.671600\pi\)
−0.999880 + 0.0154976i \(0.995067\pi\)
\(60\) 3.09898 3.79427i 0.400077 0.489838i
\(61\) −12.8084 7.39493i −1.63995 0.946823i −0.980850 0.194765i \(-0.937606\pi\)
−0.659096 0.752059i \(-0.729061\pi\)
\(62\) −8.79033 −1.11637
\(63\) −0.240485 7.93361i −0.0302983 0.999541i
\(64\) 1.00000 0.125000
\(65\) −4.88979 8.94934i −0.606503 1.11003i
\(66\) −7.98598 6.52257i −0.983006 0.802873i
\(67\) 0.912896 0.527061i 0.111528 0.0643907i −0.443198 0.896424i \(-0.646156\pi\)
0.554726 + 0.832033i \(0.312823\pi\)
\(68\) 2.83737 4.91448i 0.344082 0.595968i
\(69\) 1.72869 + 4.56049i 0.208110 + 0.549018i
\(70\) −7.02230 + 2.58606i −0.839325 + 0.309093i
\(71\) −6.16979 −0.732220 −0.366110 0.930572i \(-0.619311\pi\)
−0.366110 + 0.930572i \(0.619311\pi\)
\(72\) 0.599095 + 2.93957i 0.0706040 + 0.346432i
\(73\) −0.140240 0.242904i −0.0164139 0.0284297i 0.857702 0.514147i \(-0.171892\pi\)
−0.874116 + 0.485718i \(0.838558\pi\)
\(74\) −0.160796 + 0.0928358i −0.0186922 + 0.0107919i
\(75\) 0.834392 5.12881i 0.0963473 0.592224i
\(76\) 1.94593 0.223213
\(77\) 5.44299 + 14.7802i 0.620287 + 1.68436i
\(78\) 6.13865 + 1.14757i 0.695066 + 0.129937i
\(79\) 4.18074 7.24125i 0.470370 0.814704i −0.529056 0.848587i \(-0.677454\pi\)
0.999426 + 0.0338825i \(0.0107872\pi\)
\(80\) 2.44950 1.41422i 0.273862 0.158114i
\(81\) −8.28217 + 3.52217i −0.920241 + 0.391352i
\(82\) −3.50633 2.02438i −0.387209 0.223556i
\(83\) 0.940520i 0.103235i −0.998667 0.0516177i \(-0.983562\pi\)
0.998667 0.0516177i \(-0.0164377\pi\)
\(84\) 1.49371 4.33230i 0.162977 0.472693i
\(85\) 16.0507i 1.74094i
\(86\) −1.74089 + 3.01530i −0.187725 + 0.325149i
\(87\) 0.0721572 0.0883464i 0.00773606 0.00947173i
\(88\) −2.97657 5.15557i −0.317304 0.549586i
\(89\) 4.61927 + 2.66694i 0.489642 + 0.282695i 0.724426 0.689353i \(-0.242105\pi\)
−0.234784 + 0.972048i \(0.575438\pi\)
\(90\) 5.62468 + 6.35322i 0.592893 + 0.669689i
\(91\) −7.18508 6.27492i −0.753201 0.657790i
\(92\) 2.81581i 0.293569i
\(93\) 2.44482 15.0277i 0.253516 1.55830i
\(94\) −6.77981 + 3.91432i −0.699284 + 0.403732i
\(95\) 4.76654 2.75197i 0.489037 0.282346i
\(96\) −0.278126 + 1.70957i −0.0283861 + 0.174483i
\(97\) 9.60289 0.975026 0.487513 0.873116i \(-0.337904\pi\)
0.487513 + 0.873116i \(0.337904\pi\)
\(98\) −5.32809 + 4.53998i −0.538218 + 0.458608i
\(99\) 13.3719 11.8385i 1.34393 1.18982i
\(100\) 1.50002 2.59812i 0.150002 0.259812i
\(101\) 3.31762 + 5.74628i 0.330115 + 0.571777i 0.982534 0.186082i \(-0.0595790\pi\)
−0.652419 + 0.757859i \(0.726246\pi\)
\(102\) 7.61252 + 6.21755i 0.753752 + 0.615629i
\(103\) −6.33025 3.65477i −0.623738 0.360115i 0.154585 0.987980i \(-0.450596\pi\)
−0.778323 + 0.627864i \(0.783929\pi\)
\(104\) 3.07921 + 1.87576i 0.301941 + 0.183933i
\(105\) −2.46797 12.7244i −0.240849 1.24177i
\(106\) 4.36396i 0.423866i
\(107\) 14.1105 + 8.14672i 1.36412 + 0.787573i 0.990169 0.139877i \(-0.0446707\pi\)
0.373947 + 0.927450i \(0.378004\pi\)
\(108\) −5.19204 + 0.206627i −0.499605 + 0.0198826i
\(109\) 1.45673 0.841043i 0.139529 0.0805573i −0.428610 0.903489i \(-0.640997\pi\)
0.568140 + 0.822932i \(0.307663\pi\)
\(110\) −14.5822 8.41904i −1.39036 0.802724i
\(111\) −0.113988 0.300714i −0.0108193 0.0285425i
\(112\) 1.69297 2.03319i 0.159971 0.192118i
\(113\) 8.45921i 0.795775i 0.917434 + 0.397888i \(0.130257\pi\)
−0.917434 + 0.397888i \(0.869743\pi\)
\(114\) −0.541213 + 3.32671i −0.0506893 + 0.311575i
\(115\) 3.98217 + 6.89733i 0.371340 + 0.643179i
\(116\) 0.0570345 0.0329289i 0.00529552 0.00305737i
\(117\) −3.66918 + 10.1753i −0.339216 + 0.940708i
\(118\) 13.4216i 1.23556i
\(119\) −5.18846 14.0890i −0.475625 1.29153i
\(120\) 1.73644 + 4.58093i 0.158515 + 0.418180i
\(121\) −12.2200 + 21.1656i −1.11091 + 1.92414i
\(122\) 12.8084 7.39493i 1.15962 0.669505i
\(123\) 4.43603 5.43130i 0.399984 0.489724i
\(124\) 4.39516 7.61265i 0.394697 0.683636i
\(125\) 5.65673i 0.505953i
\(126\) 6.99095 + 3.75854i 0.622803 + 0.334837i
\(127\) 0.564130 0.0500584 0.0250292 0.999687i \(-0.492032\pi\)
0.0250292 + 0.999687i \(0.492032\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) −4.67070 3.81481i −0.411232 0.335875i
\(130\) 10.1952 + 0.239989i 0.894182 + 0.0210484i
\(131\) 8.86611 15.3566i 0.774636 1.34171i −0.160363 0.987058i \(-0.551267\pi\)
0.934999 0.354651i \(-0.115400\pi\)
\(132\) 9.64170 3.65477i 0.839202 0.318107i
\(133\) 3.29440 3.95643i 0.285661 0.343066i
\(134\) 1.05412i 0.0910622i
\(135\) −12.4257 + 7.84881i −1.06943 + 0.675518i
\(136\) 2.83737 + 4.91448i 0.243303 + 0.421413i
\(137\) −2.86927 4.96972i −0.245138 0.424592i 0.717032 0.697040i \(-0.245500\pi\)
−0.962170 + 0.272448i \(0.912167\pi\)
\(138\) −4.81384 0.783151i −0.409782 0.0666662i
\(139\) 8.16905i 0.692890i 0.938070 + 0.346445i \(0.112611\pi\)
−0.938070 + 0.346445i \(0.887389\pi\)
\(140\) 1.27156 7.37452i 0.107466 0.623260i
\(141\) −4.80619 12.6793i −0.404754 1.06779i
\(142\) 3.08490 5.34320i 0.258879 0.448391i
\(143\) 0.505116 21.4584i 0.0422399 1.79444i
\(144\) −2.84529 0.950954i −0.237108 0.0792462i
\(145\) 0.0931373 0.161318i 0.00773463 0.0133968i
\(146\) 0.280481 0.0232128
\(147\) −6.27956 10.3715i −0.517930 0.855423i
\(148\) 0.185672i 0.0152621i
\(149\) −7.77314 + 13.4635i −0.636801 + 1.10297i 0.349330 + 0.937000i \(0.386409\pi\)
−0.986131 + 0.165971i \(0.946924\pi\)
\(150\) 4.02448 + 3.28701i 0.328598 + 0.268383i
\(151\) −18.1605 + 10.4850i −1.47788 + 0.853256i −0.999688 0.0249970i \(-0.992042\pi\)
−0.478196 + 0.878253i \(0.658709\pi\)
\(152\) −0.972964 + 1.68522i −0.0789178 + 0.136690i
\(153\) −12.7466 + 11.2849i −1.03050 + 0.912331i
\(154\) −15.5215 2.67631i −1.25076 0.215663i
\(155\) 24.8629i 1.99703i
\(156\) −4.06316 + 4.74244i −0.325313 + 0.379699i
\(157\) 12.5843 7.26555i 1.00434 0.579854i 0.0948076 0.995496i \(-0.469776\pi\)
0.909528 + 0.415642i \(0.136443\pi\)
\(158\) 4.18074 + 7.24125i 0.332602 + 0.576083i
\(159\) 7.46052 + 1.21373i 0.591658 + 0.0962552i
\(160\) 2.82844i 0.223607i
\(161\) 5.72508 + 4.76709i 0.451199 + 0.375699i
\(162\) 1.09080 8.93365i 0.0857012 0.701894i
\(163\) −1.09419 0.631733i −0.0857039 0.0494812i 0.456536 0.889705i \(-0.349090\pi\)
−0.542239 + 0.840224i \(0.682423\pi\)
\(164\) 3.50633 2.02438i 0.273798 0.158078i
\(165\) 18.4487 22.5878i 1.43623 1.75846i
\(166\) 0.814514 + 0.470260i 0.0632185 + 0.0364992i
\(167\) 14.8995i 1.15296i 0.817111 + 0.576480i \(0.195574\pi\)
−0.817111 + 0.576480i \(0.804426\pi\)
\(168\) 3.00503 + 3.45974i 0.231843 + 0.266925i
\(169\) 5.96307 + 11.5517i 0.458698 + 0.888592i
\(170\) 13.9003 + 8.02533i 1.06610 + 0.615515i
\(171\) −5.53673 1.85049i −0.423404 0.141510i
\(172\) −1.74089 3.01530i −0.132741 0.229915i
\(173\) −5.85736 + 10.1453i −0.445327 + 0.771329i −0.998075 0.0620193i \(-0.980246\pi\)
0.552748 + 0.833349i \(0.313579\pi\)
\(174\) 0.0404316 + 0.106663i 0.00306511 + 0.00808611i
\(175\) −2.74296 7.44837i −0.207349 0.563044i
\(176\) 5.95314 0.448735
\(177\) 22.9452 + 3.73289i 1.72467 + 0.280581i
\(178\) −4.61927 + 2.66694i −0.346229 + 0.199895i
\(179\) −4.54314 + 2.62298i −0.339570 + 0.196051i −0.660082 0.751194i \(-0.729478\pi\)
0.320512 + 0.947245i \(0.396145\pi\)
\(180\) −8.31439 + 1.69450i −0.619718 + 0.126301i
\(181\) 3.34763i 0.248827i −0.992230 0.124414i \(-0.960295\pi\)
0.992230 0.124414i \(-0.0397049\pi\)
\(182\) 9.02678 3.08501i 0.669109 0.228676i
\(183\) 9.07983 + 23.9536i 0.671201 + 1.77070i
\(184\) −2.43857 1.40791i −0.179773 0.103792i
\(185\) −0.262580 0.454802i −0.0193053 0.0334377i
\(186\) 11.7920 + 9.63114i 0.864630 + 0.706189i
\(187\) 16.8913 29.2566i 1.23521 2.13945i
\(188\) 7.82865i 0.570963i
\(189\) −8.36987 + 10.9062i −0.608818 + 0.793310i
\(190\) 5.50393i 0.399297i
\(191\) −12.5958 7.27218i −0.911399 0.526196i −0.0305177 0.999534i \(-0.509716\pi\)
−0.880881 + 0.473338i \(0.843049\pi\)
\(192\) −1.34147 1.09565i −0.0968124 0.0790718i
\(193\) −3.56744 + 2.05966i −0.256790 + 0.148258i −0.622869 0.782326i \(-0.714033\pi\)
0.366079 + 0.930584i \(0.380700\pi\)
\(194\) −4.80144 + 8.31634i −0.344724 + 0.597079i
\(195\) −3.24584 + 17.3628i −0.232440 + 1.24338i
\(196\) −1.26770 6.88425i −0.0905498 0.491732i
\(197\) −4.31746 −0.307606 −0.153803 0.988102i \(-0.549152\pi\)
−0.153803 + 0.988102i \(0.549152\pi\)
\(198\) 3.56650 + 17.4997i 0.253460 + 1.24365i
\(199\) −17.9961 + 10.3900i −1.27571 + 0.736530i −0.976056 0.217519i \(-0.930204\pi\)
−0.299651 + 0.954049i \(0.596870\pi\)
\(200\) 1.50002 + 2.59812i 0.106068 + 0.183715i
\(201\) −1.80210 0.293179i −0.127110 0.0206792i
\(202\) −6.63524 −0.466854
\(203\) 0.0296072 0.171710i 0.00207802 0.0120516i
\(204\) −9.19081 + 3.48386i −0.643486 + 0.243919i
\(205\) 5.72583 9.91743i 0.399909 0.692664i
\(206\) 6.33025 3.65477i 0.441050 0.254640i
\(207\) 2.67771 8.01181i 0.186114 0.556859i
\(208\) −3.16406 + 1.72880i −0.219388 + 0.119870i
\(209\) 11.5844 0.801309
\(210\) 12.2536 + 4.22487i 0.845581 + 0.291544i
\(211\) 7.95214 0.547448 0.273724 0.961808i \(-0.411745\pi\)
0.273724 + 0.961808i \(0.411745\pi\)
\(212\) 3.77930 + 2.18198i 0.259564 + 0.149859i
\(213\) 8.27661 + 6.75994i 0.567104 + 0.463184i
\(214\) −14.1105 + 8.14672i −0.964576 + 0.556898i
\(215\) −8.52859 4.92399i −0.581645 0.335813i
\(216\) 2.41708 4.59975i 0.164461 0.312974i
\(217\) −8.03705 21.8242i −0.545590 1.48152i
\(218\) 1.68209i 0.113925i
\(219\) −0.0780090 + 0.479503i −0.00527136 + 0.0324018i
\(220\) 14.5822 8.41904i 0.983132 0.567612i
\(221\) −0.481494 + 20.4549i −0.0323888 + 1.37595i
\(222\) 0.317420 + 0.0516401i 0.0213038 + 0.00346586i
\(223\) 7.45226 0.499040 0.249520 0.968370i \(-0.419727\pi\)
0.249520 + 0.968370i \(0.419727\pi\)
\(224\) 0.914306 + 2.48275i 0.0610896 + 0.165886i
\(225\) −6.73870 + 5.96595i −0.449247 + 0.397730i
\(226\) −7.32589 4.22960i −0.487311 0.281349i
\(227\) 2.98035 1.72071i 0.197813 0.114207i −0.397822 0.917463i \(-0.630234\pi\)
0.595635 + 0.803255i \(0.296901\pi\)
\(228\) −2.61041 2.13206i −0.172878 0.141199i
\(229\) −11.6436 + 20.1673i −0.769429 + 1.33269i 0.168444 + 0.985711i \(0.446126\pi\)
−0.937873 + 0.346979i \(0.887208\pi\)
\(230\) −7.96435 −0.525154
\(231\) 8.89228 25.7908i 0.585069 1.69691i
\(232\) 0.0658578i 0.00432378i
\(233\) −11.5261 6.65459i −0.755099 0.435957i 0.0724345 0.997373i \(-0.476923\pi\)
−0.827533 + 0.561417i \(0.810257\pi\)
\(234\) −6.97749 8.26527i −0.456133 0.540317i
\(235\) −11.0714 19.1763i −0.722219 1.25092i
\(236\) 11.6234 + 6.71079i 0.756621 + 0.436835i
\(237\) −13.5422 + 5.13330i −0.879663 + 0.333444i
\(238\) 14.7956 + 2.55116i 0.959059 + 0.165367i
\(239\) 0.340722 0.0220395 0.0110197 0.999939i \(-0.496492\pi\)
0.0110197 + 0.999939i \(0.496492\pi\)
\(240\) −4.83542 0.786662i −0.312125 0.0507788i
\(241\) −2.07800 3.59921i −0.133856 0.231845i 0.791304 0.611423i \(-0.209403\pi\)
−0.925160 + 0.379578i \(0.876069\pi\)
\(242\) −12.2200 21.1656i −0.785528 1.36058i
\(243\) 14.9694 + 4.34948i 0.960285 + 0.279019i
\(244\) 14.7899i 0.946823i
\(245\) −12.8411 15.0702i −0.820385 0.962797i
\(246\) 2.48563 + 6.55737i 0.158478 + 0.418083i
\(247\) −6.15703 + 3.36411i −0.391762 + 0.214053i
\(248\) 4.39516 + 7.61265i 0.279093 + 0.483404i
\(249\) −1.03048 + 1.26168i −0.0653041 + 0.0799558i
\(250\) −4.89887 2.82837i −0.309832 0.178882i
\(251\) −24.1872 −1.52668 −0.763341 0.645995i \(-0.776443\pi\)
−0.763341 + 0.645995i \(0.776443\pi\)
\(252\) −6.75047 + 4.17507i −0.425239 + 0.263005i
\(253\) 16.7629i 1.05388i
\(254\) −0.282065 + 0.488551i −0.0176983 + 0.0306544i
\(255\) −17.5859 + 21.5315i −1.10127 + 1.34836i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 5.25640 9.10435i 0.327885 0.567914i −0.654207 0.756316i \(-0.726997\pi\)
0.982092 + 0.188402i \(0.0603308\pi\)
\(258\) 5.63907 2.13754i 0.351073 0.133077i
\(259\) −0.377505 0.314337i −0.0234570 0.0195319i
\(260\) −5.30546 + 8.70935i −0.329031 + 0.540131i
\(261\) −0.193594 + 0.0394551i −0.0119832 + 0.00244221i
\(262\) 8.86611 + 15.3566i 0.547750 + 0.948731i
\(263\) −25.1348 + 14.5116i −1.54988 + 0.894822i −0.551726 + 0.834025i \(0.686031\pi\)
−0.998150 + 0.0607961i \(0.980636\pi\)
\(264\) −1.65572 + 10.1773i −0.101903 + 0.626372i
\(265\) 12.3432 0.758236
\(266\) 1.77917 + 4.83125i 0.109088 + 0.296223i
\(267\) −3.27459 8.63873i −0.200402 0.528682i
\(268\) −0.912896 0.527061i −0.0557640 0.0321953i
\(269\) 11.3788 + 19.7086i 0.693777 + 1.20166i 0.970591 + 0.240733i \(0.0773878\pi\)
−0.276815 + 0.960923i \(0.589279\pi\)
\(270\) −0.584430 14.6854i −0.0355673 0.893723i
\(271\) −7.71867 + 13.3691i −0.468876 + 0.812116i −0.999367 0.0355739i \(-0.988674\pi\)
0.530491 + 0.847690i \(0.322007\pi\)
\(272\) −5.67475 −0.344082
\(273\) 2.76347 + 16.2900i 0.167253 + 0.985914i
\(274\) 5.73854 0.346678
\(275\) 8.92986 15.4670i 0.538491 0.932694i
\(276\) 3.08515 3.77734i 0.185704 0.227369i
\(277\) 11.7800 + 20.4035i 0.707791 + 1.22593i 0.965675 + 0.259754i \(0.0836416\pi\)
−0.257884 + 0.966176i \(0.583025\pi\)
\(278\) −7.07460 4.08452i −0.424307 0.244974i
\(279\) −19.7448 + 17.4806i −1.18209 + 1.04654i
\(280\) 5.75074 + 4.78846i 0.343672 + 0.286165i
\(281\) 2.59314 0.154694 0.0773469 0.997004i \(-0.475355\pi\)
0.0773469 + 0.997004i \(0.475355\pi\)
\(282\) 13.3837 + 2.17735i 0.796985 + 0.129659i
\(283\) −18.2700 + 10.5482i −1.08604 + 0.627024i −0.932519 0.361121i \(-0.882394\pi\)
−0.153519 + 0.988146i \(0.549061\pi\)
\(284\) 3.08490 + 5.34320i 0.183055 + 0.317060i
\(285\) −9.40938 1.53079i −0.557364 0.0906760i
\(286\) 18.3310 + 11.1667i 1.08393 + 0.660298i
\(287\) 1.82017 10.5562i 0.107441 0.623115i
\(288\) 2.24620 1.98862i 0.132358 0.117180i
\(289\) −7.60139 + 13.1660i −0.447140 + 0.774470i
\(290\) 0.0931373 + 0.161318i 0.00546921 + 0.00947295i
\(291\) −12.8820 10.5214i −0.755157 0.616777i
\(292\) −0.140240 + 0.242904i −0.00820695 + 0.0142149i
\(293\) 13.6747i 0.798886i −0.916758 0.399443i \(-0.869204\pi\)
0.916758 0.399443i \(-0.130796\pi\)
\(294\) 12.1217 0.252533i 0.706953 0.0147280i
\(295\) 37.9621 2.21024
\(296\) 0.160796 + 0.0928358i 0.00934610 + 0.00539597i
\(297\) −30.9090 + 1.23008i −1.79352 + 0.0713763i
\(298\) −7.77314 13.4635i −0.450286 0.779918i
\(299\) −4.86797 8.90940i −0.281522 0.515244i
\(300\) −4.85888 + 1.84180i −0.280527 + 0.106336i
\(301\) −9.07795 1.56528i −0.523244 0.0902210i
\(302\) 20.9700i 1.20669i
\(303\) 1.84543 11.3434i 0.106017 0.651663i
\(304\) −0.972964 1.68522i −0.0558033 0.0966542i
\(305\) 20.9161 + 36.2277i 1.19765 + 2.07439i
\(306\) −3.39971 16.6813i −0.194349 0.953608i
\(307\) 12.9292 0.737908 0.368954 0.929448i \(-0.379716\pi\)
0.368954 + 0.929448i \(0.379716\pi\)
\(308\) 10.0785 12.1039i 0.574276 0.689681i
\(309\) 4.48750 + 11.8385i 0.255285 + 0.673470i
\(310\) 21.5319 + 12.4314i 1.22293 + 0.706058i
\(311\) 7.53321 + 13.0479i 0.427169 + 0.739878i 0.996620 0.0821467i \(-0.0261776\pi\)
−0.569451 + 0.822025i \(0.692844\pi\)
\(312\) −2.07550 5.89002i −0.117502 0.333457i
\(313\) 10.6006 + 6.12027i 0.599183 + 0.345938i 0.768720 0.639585i \(-0.220894\pi\)
−0.169537 + 0.985524i \(0.554227\pi\)
\(314\) 14.5311i 0.820037i
\(315\) −10.6308 + 19.7735i −0.598977 + 1.11411i
\(316\) −8.36148 −0.470370
\(317\) 7.30130 12.6462i 0.410082 0.710283i −0.584816 0.811166i \(-0.698833\pi\)
0.994898 + 0.100883i \(0.0321667\pi\)
\(318\) −4.78138 + 5.85414i −0.268127 + 0.328284i
\(319\) 0.339535 0.196030i 0.0190103 0.0109756i
\(320\) −2.44950 1.41422i −0.136931 0.0790572i
\(321\) −10.0029 26.3888i −0.558308 1.47288i
\(322\) −6.99096 + 2.57451i −0.389591 + 0.143472i
\(323\) −11.0427 −0.614429
\(324\) 7.19137 + 5.41149i 0.399521 + 0.300638i
\(325\) −0.254550 + 10.8138i −0.0141199 + 0.599844i
\(326\) 1.09419 0.631733i 0.0606018 0.0349885i
\(327\) −2.87565 0.467832i −0.159024 0.0258712i
\(328\) 4.04876i 0.223556i
\(329\) −15.9171 13.2537i −0.877538 0.730699i
\(330\) 10.3373 + 27.2709i 0.569049 + 1.50122i
\(331\) 30.8306 + 17.8001i 1.69461 + 0.978381i 0.950708 + 0.310087i \(0.100358\pi\)
0.743897 + 0.668294i \(0.232975\pi\)
\(332\) −0.814514 + 0.470260i −0.0447023 + 0.0258089i
\(333\) −0.176565 + 0.528290i −0.00967572 + 0.0289501i
\(334\) −12.9034 7.44977i −0.706041 0.407633i
\(335\) −2.98151 −0.162898
\(336\) −4.49874 + 0.872557i −0.245426 + 0.0476019i
\(337\) −2.05641 −0.112020 −0.0560098 0.998430i \(-0.517838\pi\)
−0.0560098 + 0.998430i \(0.517838\pi\)
\(338\) −12.9856 0.611682i −0.706324 0.0332711i
\(339\) 9.26834 11.3478i 0.503387 0.616327i
\(340\) −13.9003 + 8.02533i −0.753849 + 0.435235i
\(341\) 26.1650 45.3192i 1.41692 2.45417i
\(342\) 4.37094 3.86971i 0.236353 0.209250i
\(343\) −16.1431 9.07738i −0.871648 0.490132i
\(344\) 3.48177 0.187725
\(345\) 2.21509 13.6156i 0.119257 0.733042i
\(346\) −5.85736 10.1453i −0.314894 0.545412i
\(347\) 10.6785 6.16526i 0.573254 0.330968i −0.185194 0.982702i \(-0.559291\pi\)
0.758448 + 0.651734i \(0.225958\pi\)
\(348\) −0.112589 0.0183168i −0.00603539 0.000981882i
\(349\) −31.2915 −1.67500 −0.837498 0.546441i \(-0.815982\pi\)
−0.837498 + 0.546441i \(0.815982\pi\)
\(350\) 7.82196 + 1.34871i 0.418101 + 0.0720916i
\(351\) 16.0707 9.62976i 0.857791 0.513998i
\(352\) −2.97657 + 5.15557i −0.158652 + 0.274793i
\(353\) −3.55499 + 2.05247i −0.189213 + 0.109242i −0.591614 0.806221i \(-0.701509\pi\)
0.402401 + 0.915463i \(0.368176\pi\)
\(354\) −14.7054 + 18.0047i −0.781582 + 0.956937i
\(355\) 15.1129 + 8.72543i 0.802109 + 0.463098i
\(356\) 5.33387i 0.282695i
\(357\) −8.47644 + 24.5847i −0.448621 + 1.30116i
\(358\) 5.24597i 0.277258i
\(359\) 12.8433 22.2452i 0.677842 1.17406i −0.297788 0.954632i \(-0.596249\pi\)
0.975630 0.219424i \(-0.0704178\pi\)
\(360\) 2.68971 8.04773i 0.141760 0.424152i
\(361\) 7.60668 + 13.1752i 0.400352 + 0.693430i
\(362\) 2.89913 + 1.67381i 0.152375 + 0.0879736i
\(363\) 39.5828 15.0042i 2.07756 0.787518i
\(364\) −1.84170 + 9.35992i −0.0965311 + 0.490593i
\(365\) 0.793322i 0.0415244i
\(366\) −25.2844 4.11344i −1.32163 0.215013i
\(367\) −13.3337 + 7.69823i −0.696015 + 0.401844i −0.805861 0.592104i \(-0.798297\pi\)
0.109847 + 0.993949i \(0.464964\pi\)
\(368\) 2.43857 1.40791i 0.127119 0.0733922i
\(369\) −11.9016 + 2.42559i −0.619574 + 0.126271i
\(370\) 0.525161 0.0273018
\(371\) 10.8346 3.99000i 0.562506 0.207150i
\(372\) −14.2368 + 5.39659i −0.738144 + 0.279800i
\(373\) 14.7842 25.6070i 0.765498 1.32588i −0.174485 0.984660i \(-0.555826\pi\)
0.939983 0.341221i \(-0.110841\pi\)
\(374\) 16.8913 + 29.2566i 0.873428 + 1.51282i
\(375\) 6.19781 7.58835i 0.320053 0.391861i
\(376\) 6.77981 + 3.91432i 0.349642 + 0.201866i
\(377\) −0.123533 + 0.202790i −0.00636229 + 0.0104442i
\(378\) −5.26012 12.7016i −0.270551 0.653301i
\(379\) 14.2729i 0.733151i 0.930388 + 0.366576i \(0.119470\pi\)
−0.930388 + 0.366576i \(0.880530\pi\)
\(380\) −4.76654 2.75197i −0.244519 0.141173i
\(381\) −0.756764 0.618090i −0.0387702 0.0316657i
\(382\) 12.5958 7.27218i 0.644456 0.372077i
\(383\) 23.7432 + 13.7081i 1.21322 + 0.700453i 0.963459 0.267855i \(-0.0863148\pi\)
0.249761 + 0.968308i \(0.419648\pi\)
\(384\) 1.61960 0.613923i 0.0826498 0.0313291i
\(385\) 7.56977 43.9015i 0.385791 2.23743i
\(386\) 4.11932i 0.209668i
\(387\) 2.08591 + 10.2349i 0.106033 + 0.520270i
\(388\) −4.80144 8.31634i −0.243756 0.422198i
\(389\) −28.0439 + 16.1912i −1.42188 + 0.820925i −0.996460 0.0840687i \(-0.973208\pi\)
−0.425424 + 0.904994i \(0.639875\pi\)
\(390\) −13.4137 11.4924i −0.679229 0.581939i
\(391\) 15.9790i 0.808095i
\(392\) 6.59579 + 2.34427i 0.333138 + 0.118403i
\(393\) −28.7191 + 10.8862i −1.44869 + 0.549137i
\(394\) 2.15873 3.73903i 0.108755 0.188370i
\(395\) −20.4814 + 11.8250i −1.03053 + 0.594978i
\(396\) −16.9384 5.66117i −0.851188 0.284484i
\(397\) −3.64884 + 6.31997i −0.183130 + 0.317190i −0.942945 0.332949i \(-0.891956\pi\)
0.759815 + 0.650139i \(0.225290\pi\)
\(398\) 20.7801i 1.04161i
\(399\) −8.75422 + 1.69793i −0.438259 + 0.0850029i
\(400\) −3.00005 −0.150002
\(401\) 10.5538 18.2797i 0.527030 0.912842i −0.472474 0.881345i \(-0.656639\pi\)
0.999504 0.0314978i \(-0.0100277\pi\)
\(402\) 1.15495 1.41407i 0.0576036 0.0705276i
\(403\) −0.745847 + 31.6852i −0.0371533 + 1.57835i
\(404\) 3.31762 5.74628i 0.165058 0.285888i
\(405\) 25.2683 + 3.08525i 1.25559 + 0.153308i
\(406\) 0.133901 + 0.111495i 0.00664540 + 0.00553342i
\(407\) 1.10533i 0.0547892i
\(408\) 1.57830 9.70141i 0.0781373 0.480291i
\(409\) −17.8308 30.8839i −0.881677 1.52711i −0.849475 0.527629i \(-0.823081\pi\)
−0.0322023 0.999481i \(-0.510252\pi\)
\(410\) 5.72583 + 9.91743i 0.282779 + 0.489787i
\(411\) −1.59604 + 9.81046i −0.0787266 + 0.483914i
\(412\) 7.30954i 0.360115i
\(413\) 33.3224 12.2714i 1.63969 0.603837i
\(414\) 5.59958 + 6.32487i 0.275204 + 0.310850i
\(415\) −1.33010 + 2.30380i −0.0652920 + 0.113089i
\(416\) 0.0848486 3.60455i 0.00416004 0.176728i
\(417\) 8.95043 10.9586i 0.438305 0.536643i
\(418\) −5.79219 + 10.0324i −0.283305 + 0.490699i
\(419\) 26.4452 1.29193 0.645966 0.763367i \(-0.276455\pi\)
0.645966 + 0.763367i \(0.276455\pi\)
\(420\) −9.78566 + 8.49952i −0.477491 + 0.414734i
\(421\) 14.7368i 0.718230i −0.933293 0.359115i \(-0.883079\pi\)
0.933293 0.359115i \(-0.116921\pi\)
\(422\) −3.97607 + 6.88675i −0.193552 + 0.335242i
\(423\) −7.44469 + 22.2748i −0.361973 + 1.08304i
\(424\) −3.77930 + 2.18198i −0.183539 + 0.105966i
\(425\) −8.51226 + 14.7437i −0.412905 + 0.715173i
\(426\) −9.99259 + 3.78778i −0.484142 + 0.183518i
\(427\) 30.0705 + 25.0388i 1.45522 + 1.21171i
\(428\) 16.2934i 0.787573i
\(429\) −24.1885 + 28.2324i −1.16783 + 1.36308i
\(430\) 8.52859 4.92399i 0.411285 0.237456i
\(431\) −0.156980 0.271898i −0.00756147 0.0130968i 0.862220 0.506534i \(-0.169074\pi\)
−0.869781 + 0.493437i \(0.835740\pi\)
\(432\) 2.77497 + 4.39313i 0.133511 + 0.211364i
\(433\) 7.25461i 0.348634i 0.984690 + 0.174317i \(0.0557718\pi\)
−0.984690 + 0.174317i \(0.944228\pi\)
\(434\) 22.9188 + 3.95180i 1.10014 + 0.189693i
\(435\) −0.301690 + 0.114358i −0.0144649 + 0.00548306i
\(436\) −1.45673 0.841043i −0.0697647 0.0402787i
\(437\) 4.74527 2.73968i 0.226997 0.131057i
\(438\) −0.376257 0.307309i −0.0179783 0.0146838i
\(439\) −14.6535 8.46021i −0.699374 0.403784i 0.107740 0.994179i \(-0.465639\pi\)
−0.807114 + 0.590395i \(0.798972\pi\)
\(440\) 16.8381i 0.802724i
\(441\) −2.93964 + 20.7932i −0.139983 + 0.990154i
\(442\) −17.4737 10.6445i −0.831141 0.506305i
\(443\) 15.1134 + 8.72575i 0.718061 + 0.414573i 0.814039 0.580811i \(-0.197264\pi\)
−0.0959775 + 0.995384i \(0.530598\pi\)
\(444\) −0.203431 + 0.249073i −0.00965443 + 0.0118205i
\(445\) −7.54326 13.0653i −0.357585 0.619355i
\(446\) −3.72613 + 6.45385i −0.176437 + 0.305598i
\(447\) 25.1787 9.54423i 1.19091 0.451426i
\(448\) −2.60728 0.449563i −0.123182 0.0212398i
\(449\) 17.9838 0.848710 0.424355 0.905496i \(-0.360501\pi\)
0.424355 + 0.905496i \(0.360501\pi\)
\(450\) −1.79732 8.81886i −0.0847263 0.415725i
\(451\) 20.8737 12.0514i 0.982904 0.567480i
\(452\) 7.32589 4.22960i 0.344581 0.198944i
\(453\) 35.8497 + 5.83230i 1.68437 + 0.274025i
\(454\) 3.44142i 0.161514i
\(455\) 8.72574 + 25.5317i 0.409069 + 1.19694i
\(456\) 3.15162 1.19465i 0.147588 0.0559446i
\(457\) 11.6122 + 6.70430i 0.543195 + 0.313614i 0.746373 0.665528i \(-0.231794\pi\)
−0.203178 + 0.979142i \(0.565127\pi\)
\(458\) −11.6436 20.1673i −0.544068 0.942354i
\(459\) 29.4635 1.17255i 1.37524 0.0547301i
\(460\) 3.98217 6.89733i 0.185670 0.321590i
\(461\) 26.0507i 1.21330i −0.794968 0.606652i \(-0.792512\pi\)
0.794968 0.606652i \(-0.207488\pi\)
\(462\) 17.8893 + 20.5963i 0.832288 + 0.958229i
\(463\) 2.25851i 0.104962i 0.998622 + 0.0524809i \(0.0167129\pi\)
−0.998622 + 0.0524809i \(0.983287\pi\)
\(464\) −0.0570345 0.0329289i −0.00264776 0.00152869i
\(465\) −27.2411 + 33.3529i −1.26327 + 1.54670i
\(466\) 11.5261 6.65459i 0.533935 0.308268i
\(467\) −3.10488 + 5.37781i −0.143677 + 0.248856i −0.928879 0.370385i \(-0.879226\pi\)
0.785202 + 0.619240i \(0.212559\pi\)
\(468\) 10.6467 1.91005i 0.492143 0.0882922i
\(469\) −2.61712 + 0.963789i −0.120847 + 0.0445036i
\(470\) 22.1428 1.02137
\(471\) −24.8420 4.04147i −1.14466 0.186221i
\(472\) −11.6234 + 6.71079i −0.535012 + 0.308889i
\(473\) −10.3637 17.9505i −0.476526 0.825366i
\(474\) 2.32554 14.2946i 0.106816 0.656571i
\(475\) −5.83788 −0.267860
\(476\) −9.60719 + 11.5378i −0.440345 + 0.528835i
\(477\) −8.67826 9.80232i −0.397350 0.448818i
\(478\) −0.170361 + 0.295074i −0.00779212 + 0.0134964i
\(479\) −4.98664 + 2.87904i −0.227845 + 0.131547i −0.609578 0.792726i \(-0.708661\pi\)
0.381732 + 0.924273i \(0.375328\pi\)
\(480\) 3.09898 3.79427i 0.141448 0.173184i
\(481\) 0.320988 + 0.587476i 0.0146358 + 0.0267866i
\(482\) 4.15601 0.189301
\(483\) −2.45696 12.6676i −0.111795 0.576396i
\(484\) 24.4399 1.11091
\(485\) −23.5222 13.5806i −1.06809 0.616662i
\(486\) −11.2514 + 10.7891i −0.510376 + 0.489404i
\(487\) 26.9169 15.5405i 1.21972 0.704207i 0.254864 0.966977i \(-0.417969\pi\)
0.964858 + 0.262770i \(0.0846361\pi\)
\(488\) −12.8084 7.39493i −0.579809 0.334753i
\(489\) 0.775672 + 2.04631i 0.0350771 + 0.0925373i
\(490\) 19.4717 3.58560i 0.879640 0.161981i
\(491\) 7.69142i 0.347109i −0.984824 0.173554i \(-0.944475\pi\)
0.984824 0.173554i \(-0.0555253\pi\)
\(492\) −6.92166 1.12607i −0.312053 0.0507670i
\(493\) −0.323657 + 0.186863i −0.0145768 + 0.00841590i
\(494\) 0.165109 7.01420i 0.00742861 0.315584i
\(495\) −49.4968 + 10.0876i −2.22471 + 0.453405i
\(496\) −8.79033 −0.394697
\(497\) 16.0864 + 2.77371i 0.721572 + 0.124418i
\(498\) −0.577407 1.52326i −0.0258742 0.0682591i
\(499\) 4.05046 + 2.33853i 0.181323 + 0.104687i 0.587914 0.808923i \(-0.299949\pi\)
−0.406591 + 0.913610i \(0.633283\pi\)
\(500\) 4.89887 2.82837i 0.219084 0.126488i
\(501\) 16.3247 19.9873i 0.729334 0.892967i
\(502\) 12.0936 20.9467i 0.539764 0.934898i
\(503\) −24.1876 −1.07847 −0.539236 0.842155i \(-0.681287\pi\)
−0.539236 + 0.842155i \(0.681287\pi\)
\(504\) −0.240485 7.93361i −0.0107121 0.353391i
\(505\) 18.7673i 0.835136i
\(506\) −14.5171 8.38147i −0.645365 0.372602i
\(507\) 4.65735 22.0297i 0.206840 0.978375i
\(508\) −0.282065 0.488551i −0.0125146 0.0216759i
\(509\) −24.6547 14.2344i −1.09280 0.630929i −0.158480 0.987362i \(-0.550659\pi\)
−0.934321 + 0.356434i \(0.883993\pi\)
\(510\) −9.85387 25.9956i −0.436337 1.15111i
\(511\) 0.256445 + 0.696364i 0.0113445 + 0.0308053i
\(512\) 1.00000 0.0441942
\(513\) 5.39988 + 8.54871i 0.238411 + 0.377435i
\(514\) 5.25640 + 9.10435i 0.231850 + 0.401576i
\(515\) 10.3373 + 17.9047i 0.455515 + 0.788976i
\(516\) −0.968372 + 5.95235i −0.0426302 + 0.262038i
\(517\) 46.6051i 2.04969i
\(518\) 0.460976 0.169761i 0.0202541 0.00745886i
\(519\) 18.9732 7.19194i 0.832829 0.315691i
\(520\) −4.88979 8.94934i −0.214431 0.392454i
\(521\) 1.14358 + 1.98074i 0.0501012 + 0.0867779i 0.889988 0.455983i \(-0.150712\pi\)
−0.839887 + 0.542761i \(0.817379\pi\)
\(522\) 0.0626278 0.187385i 0.00274114 0.00820160i
\(523\) 2.06219 + 1.19060i 0.0901732 + 0.0520615i 0.544409 0.838820i \(-0.316754\pi\)
−0.454235 + 0.890882i \(0.650087\pi\)
\(524\) −17.7322 −0.774636
\(525\) −4.48121 + 12.9971i −0.195576 + 0.567241i
\(526\) 29.0231i 1.26547i
\(527\) −24.9414 + 43.1999i −1.08647 + 1.88182i
\(528\) −7.98598 6.52257i −0.347545 0.283858i
\(529\) −7.53560 13.0520i −0.327635 0.567480i
\(530\) −6.17160 + 10.6895i −0.268077 + 0.464323i
\(531\) −26.6904 30.1475i −1.15826 1.30829i
\(532\) −5.07357 0.874816i −0.219967 0.0379281i
\(533\) −7.59450 + 12.4670i −0.328954 + 0.540005i
\(534\) 9.11865 + 1.48349i 0.394603 + 0.0641968i
\(535\) −23.0425 39.9107i −0.996213 1.72549i
\(536\) 0.912896 0.527061i 0.0394311 0.0227655i
\(537\) 8.96838 + 1.45904i 0.387014 + 0.0629622i
\(538\) −22.7576 −0.981148
\(539\) −7.54678 40.9829i −0.325063 1.76526i
\(540\) 13.0101 + 6.83655i 0.559866 + 0.294198i
\(541\) −9.26863 5.35124i −0.398489 0.230068i 0.287343 0.957828i \(-0.407228\pi\)
−0.685832 + 0.727760i \(0.740562\pi\)
\(542\) −7.71867 13.3691i −0.331545 0.574253i
\(543\) −3.66783 + 4.49075i −0.157402 + 0.192716i
\(544\) 2.83737 4.91448i 0.121651 0.210706i
\(545\) −4.75767 −0.203796
\(546\) −15.4893 5.75176i −0.662879 0.246152i
\(547\) −37.8140 −1.61681 −0.808406 0.588626i \(-0.799669\pi\)
−0.808406 + 0.588626i \(0.799669\pi\)
\(548\) −2.86927 + 4.96972i −0.122569 + 0.212296i
\(549\) 14.0645 42.0815i 0.600257 1.79599i
\(550\) 8.92986 + 15.4670i 0.380771 + 0.659514i
\(551\) −0.110985 0.0640772i −0.00472812 0.00272978i
\(552\) 1.72869 + 4.56049i 0.0735781 + 0.194107i
\(553\) −14.1557 + 17.0004i −0.601963 + 0.722932i
\(554\) −23.5600 −1.00097
\(555\) −0.146061 + 0.897801i −0.00619994 + 0.0381095i
\(556\) 7.07460 4.08452i 0.300030 0.173222i
\(557\) 14.7923 + 25.6210i 0.626769 + 1.08560i 0.988196 + 0.153195i \(0.0489563\pi\)
−0.361427 + 0.932400i \(0.617710\pi\)
\(558\) −5.26624 25.8398i −0.222938 1.09389i
\(559\) 10.7211 + 6.53096i 0.453455 + 0.276230i
\(560\) −7.02230 + 2.58606i −0.296746 + 0.109281i
\(561\) −54.7142 + 20.7399i −2.31004 + 0.875640i
\(562\) −1.29657 + 2.24573i −0.0546925 + 0.0947303i
\(563\) 17.0347 + 29.5050i 0.717928 + 1.24349i 0.961819 + 0.273686i \(0.0882428\pi\)
−0.243891 + 0.969803i \(0.578424\pi\)
\(564\) −8.57747 + 10.5019i −0.361177 + 0.442210i
\(565\) 11.9632 20.7208i 0.503294 0.871731i
\(566\) 21.0964i 0.886746i
\(567\) 23.1773 5.45991i 0.973357 0.229295i
\(568\) −6.16979 −0.258879
\(569\) −31.3283 18.0874i −1.31335 0.758263i −0.330700 0.943736i \(-0.607285\pi\)
−0.982649 + 0.185473i \(0.940618\pi\)
\(570\) 6.03039 7.38337i 0.252585 0.309255i
\(571\) −9.51154 16.4745i −0.398046 0.689435i 0.595439 0.803400i \(-0.296978\pi\)
−0.993485 + 0.113965i \(0.963645\pi\)
\(572\) −18.8361 + 10.2918i −0.787577 + 0.430320i
\(573\) 8.92911 + 23.5560i 0.373019 + 0.984066i
\(574\) 8.23189 + 6.85444i 0.343592 + 0.286099i
\(575\) 8.44758i 0.352289i
\(576\) 0.599095 + 2.93957i 0.0249623 + 0.122482i
\(577\) 11.4956 + 19.9110i 0.478569 + 0.828906i 0.999698 0.0245722i \(-0.00782238\pi\)
−0.521129 + 0.853478i \(0.674489\pi\)
\(578\) −7.60139 13.1660i −0.316176 0.547633i
\(579\) 7.04229 + 1.14569i 0.292668 + 0.0476133i
\(580\) −0.186275 −0.00773463
\(581\) −0.422823 + 2.45220i −0.0175416 + 0.101734i
\(582\) 15.5528 5.89544i 0.644685 0.244374i
\(583\) 22.4987 + 12.9897i 0.931803 + 0.537976i
\(584\) −0.140240 0.242904i −0.00580319 0.0100514i
\(585\) 23.3778 19.7354i 0.966552 0.815958i
\(586\) 11.8427 + 6.83736i 0.489215 + 0.282449i
\(587\) 19.0243i 0.785216i −0.919706 0.392608i \(-0.871573\pi\)
0.919706 0.392608i \(-0.128427\pi\)
\(588\) −5.84216 + 10.6240i −0.240927 + 0.438126i
\(589\) −17.1053 −0.704813
\(590\) −18.9810 + 32.8761i −0.781437 + 1.35349i
\(591\) 5.79175 + 4.73043i 0.238241 + 0.194584i
\(592\) −0.160796 + 0.0928358i −0.00660869 + 0.00381553i
\(593\) 39.8303 + 22.9960i 1.63563 + 0.944333i 0.982312 + 0.187253i \(0.0599584\pi\)
0.653322 + 0.757080i \(0.273375\pi\)
\(594\) 14.3892 27.3830i 0.590396 1.12354i
\(595\) −7.21578 + 41.8485i −0.295818 + 1.71562i
\(596\) 15.5463 0.636801
\(597\) 35.5251 + 5.77948i 1.45394 + 0.236538i
\(598\) 10.1497 + 0.238918i 0.415054 + 0.00977007i
\(599\) 35.1898 20.3169i 1.43782 0.830124i 0.440119 0.897939i \(-0.354936\pi\)
0.997698 + 0.0678154i \(0.0216029\pi\)
\(600\) 0.834392 5.12881i 0.0340639 0.209383i
\(601\) 14.9537i 0.609973i 0.952357 + 0.304986i \(0.0986519\pi\)
−0.952357 + 0.304986i \(0.901348\pi\)
\(602\) 5.89454 7.07909i 0.240244 0.288522i
\(603\) 2.09624 + 2.36776i 0.0853657 + 0.0964228i
\(604\) 18.1605 + 10.4850i 0.738942 + 0.426628i
\(605\) 59.8655 34.5634i 2.43388 1.40520i
\(606\) 8.90099 + 7.26991i 0.361578 + 0.295320i
\(607\) −38.9035 22.4609i −1.57904 0.911661i −0.994993 0.0999432i \(-0.968134\pi\)
−0.584050 0.811718i \(-0.698533\pi\)
\(608\) 1.94593 0.0789178
\(609\) −0.227851 + 0.197904i −0.00923299 + 0.00801949i
\(610\) −41.8322 −1.69373
\(611\) 13.5341 + 24.7703i 0.547532 + 1.00210i
\(612\) 16.1463 + 5.39643i 0.652676 + 0.218138i
\(613\) 21.2198 12.2513i 0.857062 0.494825i −0.00596561 0.999982i \(-0.501899\pi\)
0.863027 + 0.505157i \(0.168566\pi\)
\(614\) −6.46460 + 11.1970i −0.260890 + 0.451875i
\(615\) −18.5471 + 7.03044i −0.747891 + 0.283495i
\(616\) 5.44299 + 14.7802i 0.219304 + 0.595510i
\(617\) −5.16102 −0.207775 −0.103887 0.994589i \(-0.533128\pi\)
−0.103887 + 0.994589i \(0.533128\pi\)
\(618\) −12.4962 2.03297i −0.502671 0.0817782i
\(619\) −23.5913 40.8613i −0.948214 1.64235i −0.749185 0.662360i \(-0.769555\pi\)
−0.199028 0.979994i \(-0.563779\pi\)
\(620\) −21.5319 + 12.4314i −0.864741 + 0.499259i
\(621\) −12.3702 + 7.81378i −0.496400 + 0.313556i
\(622\) −15.0664 −0.604108
\(623\) −10.8448 9.03009i −0.434486 0.361783i
\(624\) 6.13865 + 1.14757i 0.245743 + 0.0459398i
\(625\) 15.5000 26.8467i 0.619999 1.07387i
\(626\) −10.6006 + 6.12027i −0.423686 + 0.244615i
\(627\) −15.5401 12.6925i −0.620613 0.506888i
\(628\) −12.5843 7.26555i −0.502168 0.289927i
\(629\) 1.05364i 0.0420114i
\(630\) −11.8089 19.0933i −0.470479 0.760694i
\(631\) 6.15939i 0.245201i −0.992456 0.122601i \(-0.960877\pi\)
0.992456 0.122601i \(-0.0391234\pi\)
\(632\) 4.18074 7.24125i 0.166301 0.288042i
\(633\) −10.6676 8.71277i −0.423998 0.346302i
\(634\) 7.30130 + 12.6462i 0.289972 + 0.502246i
\(635\) −1.38183 0.797803i −0.0548364 0.0316598i
\(636\) −2.67914 7.06787i −0.106235 0.280259i
\(637\) 15.9125 + 19.5906i 0.630478 + 0.776208i
\(638\) 0.392061i 0.0155218i
\(639\) −3.69629 18.1366i −0.146223 0.717471i
\(640\) 2.44950 1.41422i 0.0968249 0.0559019i
\(641\) 22.4818 12.9799i 0.887978 0.512674i 0.0146975 0.999892i \(-0.495321\pi\)
0.873281 + 0.487218i \(0.161988\pi\)
\(642\) 27.8548 + 4.53163i 1.09934 + 0.178849i
\(643\) −38.3382 −1.51191 −0.755956 0.654622i \(-0.772828\pi\)
−0.755956 + 0.654622i \(0.772828\pi\)
\(644\) 1.26588 7.34161i 0.0498828 0.289300i
\(645\) 6.04590 + 15.9498i 0.238057 + 0.628021i
\(646\) 5.52133 9.56322i 0.217234 0.376260i
\(647\) 16.4037 + 28.4120i 0.644896 + 1.11699i 0.984326 + 0.176361i \(0.0564326\pi\)
−0.339430 + 0.940631i \(0.610234\pi\)
\(648\) −8.28217 + 3.52217i −0.325354 + 0.138364i
\(649\) 69.1959 + 39.9503i 2.71618 + 1.56819i
\(650\) −9.23778 5.62737i −0.362336 0.220723i
\(651\) −13.1302 + 38.0823i −0.514614 + 1.49256i
\(652\) 1.26347i 0.0494812i
\(653\) −2.21204 1.27712i −0.0865637 0.0499776i 0.456093 0.889932i \(-0.349248\pi\)
−0.542657 + 0.839954i \(0.682582\pi\)
\(654\) 1.84298 2.25647i 0.0720662 0.0882350i
\(655\) −43.4350 + 25.0772i −1.69715 + 0.979849i
\(656\) −3.50633 2.02438i −0.136899 0.0790388i
\(657\) 0.630015 0.557769i 0.0245792 0.0217606i
\(658\) 19.4366 7.15778i 0.757716 0.279039i
\(659\) 12.5915i 0.490495i −0.969460 0.245248i \(-0.921131\pi\)
0.969460 0.245248i \(-0.0788693\pi\)
\(660\) −28.7860 4.68311i −1.12049 0.182290i
\(661\) 3.19978 + 5.54218i 0.124457 + 0.215566i 0.921521 0.388330i \(-0.126948\pi\)
−0.797064 + 0.603895i \(0.793614\pi\)
\(662\) −30.8306 + 17.8001i −1.19827 + 0.691820i
\(663\) 23.0574 26.9122i 0.895475 1.04518i
\(664\) 0.940520i 0.0364992i
\(665\) −13.6649 + 5.03228i −0.529901 + 0.195143i
\(666\) −0.369230 0.417055i −0.0143074 0.0161606i
\(667\) 0.0927216 0.160599i 0.00359020 0.00621840i
\(668\) 12.9034 7.44977i 0.499247 0.288240i
\(669\) −9.99700 8.16508i −0.386506 0.315680i
\(670\) 1.49076 2.58207i 0.0575930 0.0997540i
\(671\) 88.0461i 3.39898i
\(672\) 1.49371 4.33230i 0.0576212 0.167122i
\(673\) −16.4797 −0.635248 −0.317624 0.948217i \(-0.602885\pi\)
−0.317624 + 0.948217i \(0.602885\pi\)
\(674\) 1.02820 1.78090i 0.0396049 0.0685977i
\(675\) 15.5764 0.619890i 0.599535 0.0238596i
\(676\) 7.02253 10.9400i 0.270097 0.420770i
\(677\) −9.07040 + 15.7104i −0.348604 + 0.603800i −0.986002 0.166735i \(-0.946677\pi\)
0.637398 + 0.770535i \(0.280011\pi\)
\(678\) 5.19330 + 13.7005i 0.199448 + 0.526165i
\(679\) −25.0374 4.31710i −0.960847 0.165675i
\(680\) 16.0507i 0.615515i
\(681\) −5.88336 0.957147i −0.225451 0.0366780i
\(682\) 26.1650 + 45.3192i 1.00191 + 1.73536i
\(683\) 8.00820 + 13.8706i 0.306425 + 0.530744i 0.977578 0.210575i \(-0.0675337\pi\)
−0.671152 + 0.741319i \(0.734200\pi\)
\(684\) 1.16580 + 5.72019i 0.0445753 + 0.218717i
\(685\) 16.2311i 0.620158i
\(686\) 15.9328 9.44169i 0.608318 0.360485i
\(687\) 37.7158 14.2965i 1.43895 0.545446i
\(688\) −1.74089 + 3.01530i −0.0663707 + 0.114957i
\(689\) −15.7301 0.370276i −0.599271 0.0141064i
\(690\) 10.6840 + 8.72615i 0.406731 + 0.332199i
\(691\) −7.72531 + 13.3806i −0.293885 + 0.509023i −0.974725 0.223409i \(-0.928282\pi\)
0.680840 + 0.732432i \(0.261615\pi\)
\(692\) 11.7147 0.445327
\(693\) −40.1865 + 24.8548i −1.52656 + 0.944156i
\(694\) 12.3305i 0.468060i
\(695\) 11.5528 20.0101i 0.438223 0.759025i
\(696\) 0.0721572 0.0883464i 0.00273511 0.00334876i
\(697\) −19.8975 + 11.4879i −0.753673 + 0.435133i
\(698\) 15.6457 27.0992i 0.592200 1.02572i
\(699\) 8.17081 + 21.5555i 0.309048 + 0.815304i
\(700\) −5.07900 + 6.09966i −0.191968 + 0.230546i
\(701\) 12.6204i 0.476664i 0.971184 + 0.238332i \(0.0766007\pi\)
−0.971184 + 0.238332i \(0.923399\pi\)
\(702\) 0.304259 + 18.7325i 0.0114835 + 0.707014i
\(703\) −0.312898 + 0.180652i −0.0118012 + 0.00681341i
\(704\) −2.97657 5.15557i −0.112184 0.194308i
\(705\) −6.15850 + 37.8548i −0.231942 + 1.42570i
\(706\) 4.10495i 0.154492i
\(707\) −6.06664 16.4736i −0.228159 0.619555i
\(708\) −8.23982 21.7376i −0.309671 0.816948i
\(709\) −26.7736 15.4578i −1.00550 0.580528i −0.0956324 0.995417i \(-0.530487\pi\)
−0.909872 + 0.414888i \(0.863821\pi\)
\(710\) −15.1129 + 8.72543i −0.567177 + 0.327460i
\(711\) 23.7908 + 7.95138i 0.892226 + 0.298200i
\(712\) 4.61927 + 2.66694i 0.173114 + 0.0999477i
\(713\) 24.7519i 0.926967i
\(714\) −17.0528 19.6332i −0.638184 0.734753i
\(715\) −31.5842 + 51.8480i −1.18118 + 1.93901i
\(716\) 4.54314 + 2.62298i 0.169785 + 0.0980255i
\(717\) −0.457069 0.373312i −0.0170695 0.0139416i
\(718\) 12.8433 + 22.2452i 0.479306 + 0.830183i
\(719\) −7.90278 + 13.6880i −0.294724 + 0.510477i −0.974921 0.222553i \(-0.928561\pi\)
0.680197 + 0.733030i \(0.261894\pi\)
\(720\) 5.62468 + 6.35322i 0.209619 + 0.236771i
\(721\) 14.8617 + 12.3748i 0.553478 + 0.460863i
\(722\) −15.2134 −0.566183
\(723\) −1.15589 + 7.10501i −0.0429882 + 0.264238i
\(724\) −2.89913 + 1.67381i −0.107745 + 0.0622068i
\(725\) −0.171106 + 0.0987883i −0.00635473 + 0.00366891i
\(726\) −6.79738 + 41.7819i −0.252274 + 1.55067i
\(727\) 40.5576i 1.50420i −0.659050 0.752099i \(-0.729041\pi\)
0.659050 0.752099i \(-0.270959\pi\)
\(728\) −7.18508 6.27492i −0.266297 0.232564i
\(729\) −15.3155 22.2359i −0.567240 0.823553i
\(730\) −0.687037 0.396661i −0.0254284 0.0146811i
\(731\) 9.87909 + 17.1111i 0.365391 + 0.632877i
\(732\) 16.2045 19.8402i 0.598937 0.733314i
\(733\) −8.36320 + 14.4855i −0.308902 + 0.535033i −0.978122 0.208030i \(-0.933295\pi\)
0.669221 + 0.743064i \(0.266628\pi\)
\(734\) 15.3965i 0.568294i
\(735\) 0.714273 + 34.2855i 0.0263463 + 1.26464i
\(736\) 2.81581i 0.103792i
\(737\) −5.43460 3.13767i −0.200186 0.115577i
\(738\) 3.85019 11.5199i 0.141727 0.424054i
\(739\) 13.4521 7.76657i 0.494843 0.285698i −0.231738 0.972778i \(-0.574441\pi\)
0.726582 + 0.687080i \(0.241108\pi\)
\(740\) −0.262580 + 0.454802i −0.00965264 + 0.0167189i
\(741\) 11.9454 + 2.23310i 0.438824 + 0.0820349i
\(742\) −1.96188 + 11.3781i −0.0720227 + 0.417702i
\(743\) −10.6415 −0.390398 −0.195199 0.980764i \(-0.562535\pi\)
−0.195199 + 0.980764i \(0.562535\pi\)
\(744\) 2.44482 15.0277i 0.0896314 0.550943i
\(745\) 38.0806 21.9858i 1.39516 0.805499i
\(746\) 14.7842 + 25.6070i 0.541289 + 0.937540i
\(747\) 2.76473 0.563461i 0.101156 0.0206160i
\(748\) −33.7826 −1.23521
\(749\) −33.1276 27.5843i −1.21046 1.00791i
\(750\) 3.47280 + 9.16163i 0.126809 + 0.334535i
\(751\) −0.864522 + 1.49740i −0.0315468 + 0.0546407i −0.881368 0.472431i \(-0.843377\pi\)
0.849821 + 0.527072i \(0.176710\pi\)
\(752\) −6.77981 + 3.91432i −0.247234 + 0.142741i
\(753\) 32.4465 + 26.5007i 1.18241 + 0.965741i
\(754\) −0.113855 0.208378i −0.00414634 0.00758868i
\(755\) 59.3122 2.15859
\(756\) 13.6300 + 1.79542i 0.495718 + 0.0652986i
\(757\) 19.1023 0.694286 0.347143 0.937812i \(-0.387152\pi\)
0.347143 + 0.937812i \(0.387152\pi\)
\(758\) −12.3607 7.13646i −0.448962 0.259208i
\(759\) 18.3663 22.4870i 0.666656 0.816227i
\(760\) 4.76654 2.75197i 0.172901 0.0998243i
\(761\) −9.00493 5.19900i −0.326429 0.188464i 0.327826 0.944738i \(-0.393684\pi\)
−0.654254 + 0.756275i \(0.727017\pi\)
\(762\) 0.913664 0.346332i 0.0330985 0.0125463i
\(763\) −4.17620 + 1.53794i −0.151189 + 0.0556772i
\(764\) 14.5444i 0.526196i
\(765\) 47.1821 9.61587i 1.70587 0.347663i
\(766\) −23.7432 + 13.7081i −0.857876 + 0.495295i
\(767\) −48.3788 1.13880i −1.74686 0.0411197i
\(768\) −0.278126 + 1.70957i −0.0100360 + 0.0616890i
\(769\) 20.6870 0.745993 0.372997 0.927833i \(-0.378330\pi\)
0.372997 + 0.927833i \(0.378330\pi\)
\(770\) 34.2350 + 28.5064i 1.23374 + 1.02730i
\(771\) −17.0265 + 6.45405i −0.613194 + 0.232437i
\(772\) 3.56744 + 2.05966i 0.128395 + 0.0741289i
\(773\) −6.95733 + 4.01681i −0.250238 + 0.144475i −0.619873 0.784702i \(-0.712816\pi\)
0.369635 + 0.929177i \(0.379483\pi\)
\(774\) −9.90666 3.31101i −0.356088 0.119012i