Properties

Label 546.2.bg.b.311.4
Level $546$
Weight $2$
Character 546.311
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 311.4
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.b.467.4

$q$-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} +(0.0848486 - 3.60455i) 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} +(6.18585 - 0.857465i) 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} +(3.16406 - 1.72880i) 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} +(-10.1952 - 0.239989i) 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} +(3.83551 + 4.92837i) 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} +(-8.87162 - 3.50632i) 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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

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

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 \(-0.448713\pi\)
0.935022 + 0.354590i \(0.115380\pi\)
\(6\) −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 0.0667525 0.997770i \(-0.478736\pi\)
0.830718 0.556694i \(-0.187930\pi\)
\(12\) −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 −0.284267 0.958745i \(-0.591750\pi\)
0.972431 0.233190i \(-0.0749165\pi\)
\(18\) 2.84529 0.950954i 0.670642 0.224142i
\(19\) 0.972964 + 1.68522i 0.223213 + 0.386617i 0.955782 0.294077i \(-0.0950121\pi\)
−0.732569 + 0.680693i \(0.761679\pi\)
\(20\) 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 −0.732207 0.681082i \(-0.761510\pi\)
0.223731 + 0.974651i \(0.428176\pi\)
\(24\) 1.34147 1.09565i 0.273827 0.223649i
\(25\) 1.50002 2.59812i 0.300005 0.519624i
\(26\) 0.0848486 3.60455i 0.0166402 0.706911i
\(27\) 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 \(-0.998054\pi\)
0.999981 0.00611474i \(-0.00194640\pi\)
\(30\) −4.83542 + 0.786662i −0.882823 + 0.143624i
\(31\) −4.39516 + 7.61265i −0.789395 + 1.36727i 0.136944 + 0.990579i \(0.456272\pi\)
−0.926338 + 0.376693i \(0.877061\pi\)
\(32\) 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 \(-0.671525\pi\)
0.486724 + 0.873556i \(0.338192\pi\)
\(38\) −0.972964 + 1.68522i −0.157836 + 0.273379i
\(39\) 6.18585 0.857465i 0.990529 0.137304i
\(40\) −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 \(-0.860097\pi\)
−0.0839804 + 0.996467i \(0.526763\pi\)
\(48\) 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
\(52\) 3.16406 1.72880i 0.438776 0.239741i
\(53\) −3.77930 2.18198i −0.519127 0.299718i 0.217450 0.976071i \(-0.430226\pi\)
−0.736578 + 0.676353i \(0.763559\pi\)
\(54\) −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 0.999880 + 0.0154976i \(0.00493325\pi\)
0.513361 + 0.858173i \(0.328400\pi\)
\(60\) −3.09898 3.79427i −0.400077 0.489838i
\(61\) −12.8084 + 7.39493i −1.63995 + 0.946823i −0.659096 + 0.752059i \(0.729061\pi\)
−0.980850 + 0.194765i \(0.937606\pi\)
\(62\) −8.79033 −1.11637
\(63\) 0.240485 7.93361i 0.0302983 0.999541i
\(64\) 1.00000 0.125000
\(65\) −10.1952 0.239989i −1.26456 0.0297669i
\(66\) −7.98598 + 6.52257i −0.983006 + 0.802873i
\(67\) −0.912896 0.527061i −0.111528 0.0643907i 0.443198 0.896424i \(-0.353844\pi\)
−0.554726 + 0.832033i \(0.687177\pi\)
\(68\) 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 \(-0.380689\pi\)
0.366110 + 0.930572i \(0.380689\pi\)
\(72\) −0.599095 + 2.93957i −0.0706040 + 0.346432i
\(73\) 0.140240 0.242904i 0.0164139 0.0284297i −0.857702 0.514147i \(-0.828108\pi\)
0.874116 + 0.485718i \(0.161442\pi\)
\(74\) −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
\(78\) 3.83551 + 4.92837i 0.434286 + 0.558028i
\(79\) 4.18074 + 7.24125i 0.470370 + 0.814704i 0.999426 0.0338825i \(-0.0107872\pi\)
−0.529056 + 0.848587i \(0.677454\pi\)
\(80\) −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 \(-0.757895\pi\)
0.234784 + 0.972048i \(0.424562\pi\)
\(90\) 5.62468 6.35322i 0.592893 0.669689i
\(91\) −8.87162 3.50632i −0.929999 0.367562i
\(92\) 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 \(-0.662096\pi\)
−0.487513 + 0.873116i \(0.662096\pi\)
\(98\) 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 −0.652419 0.757859i \(-0.726246\pi\)
0.982534 + 0.186082i \(0.0595790\pi\)
\(102\) −7.61252 + 6.21755i −0.753752 + 0.615629i
\(103\) −6.33025 + 3.65477i −0.623738 + 0.360115i −0.778323 0.627864i \(-0.783929\pi\)
0.154585 + 0.987980i \(0.450596\pi\)
\(104\) 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 0.373947 0.927450i \(-0.378004\pi\)
0.990169 + 0.139877i \(0.0446707\pi\)
\(108\) −5.19204 0.206627i −0.499605 0.0198826i
\(109\) −1.45673 0.841043i −0.139529 0.0805573i 0.428610 0.903489i \(-0.359003\pi\)
−0.568140 + 0.822932i \(0.692337\pi\)
\(110\) 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 \(-0.869743\pi\)
0.917434 0.397888i \(-0.130257\pi\)
\(114\) −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
\(117\) −7.35866 + 7.92780i −0.680309 + 0.732926i
\(118\) 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
\(130\) −4.88979 8.94934i −0.428863 0.784909i
\(131\) 8.86611 + 15.3566i 0.774636 + 1.34171i 0.934999 + 0.354651i \(0.115400\pi\)
−0.160363 + 0.987058i \(0.551267\pi\)
\(132\) −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 \(-0.754500\pi\)
0.962170 + 0.272448i \(0.0878334\pi\)
\(138\) 4.81384 0.783151i 0.409782 0.0666662i
\(139\) 8.16905i 0.692890i −0.938070 0.346445i \(-0.887389\pi\)
0.938070 0.346445i \(-0.112611\pi\)
\(140\) 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
\(143\) −18.8361 + 10.2918i −1.57515 + 0.860641i
\(144\) −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 0.986131 + 0.165971i \(0.0530759\pi\)
−0.349330 + 0.937000i \(0.613591\pi\)
\(150\) −4.02448 + 3.28701i −0.328598 + 0.268383i
\(151\) 18.1605 + 10.4850i 1.47788 + 0.853256i 0.999688 0.0249970i \(-0.00795761\pi\)
0.478196 + 0.878253i \(0.341291\pi\)
\(152\) −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
\(156\) −2.35034 + 5.78584i −0.188178 + 0.463238i
\(157\) 12.5843 + 7.26555i 1.00434 + 0.579854i 0.909528 0.415642i \(-0.136443\pi\)
0.0948076 + 0.995496i \(0.469776\pi\)
\(158\) −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 \(-0.650910\pi\)
0.542239 + 0.840224i \(0.317577\pi\)
\(164\) −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 0.552748 0.833349i \(-0.313579\pi\)
−0.998075 + 0.0620193i \(0.980246\pi\)
\(174\) −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 0.320512 0.947245i \(-0.396145\pi\)
−0.660082 + 0.751194i \(0.729478\pi\)
\(180\) 8.31439 + 1.69450i 0.619718 + 0.126301i
\(181\) 3.34763i 0.248827i 0.992230 + 0.124414i \(0.0397049\pi\)
−0.992230 + 0.124414i \(0.960295\pi\)
\(182\) −1.39925 9.43621i −0.103719 0.699459i
\(183\) 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 −0.880881 0.473338i \(-0.843049\pi\)
−0.0305177 + 0.999534i \(0.509716\pi\)
\(192\) −1.34147 + 1.09565i −0.0968124 + 0.0790718i
\(193\) 3.56744 + 2.05966i 0.256790 + 0.148258i 0.622869 0.782326i \(-0.285967\pi\)
−0.366079 + 0.930584i \(0.619300\pi\)
\(194\) −4.80144 8.31634i −0.344724 0.597079i
\(195\) 13.9396 10.8485i 0.998234 0.776877i
\(196\) −1.26770 + 6.88425i −0.0905498 + 0.491732i
\(197\) 4.31746 0.307606 0.153803 0.988102i \(-0.450848\pi\)
0.153803 + 0.988102i \(0.450848\pi\)
\(198\) 3.56650 17.4997i 0.253460 1.24365i
\(199\) −17.9961 10.3900i −1.27571 0.736530i −0.299651 0.954049i \(-0.596870\pi\)
−0.976056 + 0.217519i \(0.930204\pi\)
\(200\) −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
\(208\) −0.0848486 + 3.60455i −0.00588319 + 0.249931i
\(209\) 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
\(221\) −17.9552 + 9.81048i −1.20780 + 0.659924i
\(222\) 0.317420 0.0516401i 0.0213038 0.00346586i
\(223\) −7.45226 −0.499040 −0.249520 0.968370i \(-0.580273\pi\)
−0.249520 + 0.968370i \(0.580273\pi\)
\(224\) 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 \(-0.369766\pi\)
−0.595635 + 0.803255i \(0.703099\pi\)
\(228\) 2.61041 2.13206i 0.172878 0.141199i
\(229\) 11.6436 + 20.1673i 0.769429 + 1.33269i 0.937873 + 0.346979i \(0.112792\pi\)
−0.168444 + 0.985711i \(0.553874\pi\)
\(230\) −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 −0.827533 0.561417i \(-0.810257\pi\)
0.0724345 + 0.997373i \(0.476923\pi\)
\(234\) −10.5450 2.40889i −0.689349 0.157474i
\(235\) −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 \(-0.503508\pi\)
−0.0110197 + 0.999939i \(0.503508\pi\)
\(240\) 4.83542 0.786662i 0.312125 0.0507788i
\(241\) 2.07800 3.59921i 0.133856 0.231845i −0.791304 0.611423i \(-0.790597\pi\)
0.925160 + 0.379578i \(0.123931\pi\)
\(242\) 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
\(247\) 0.165109 7.01420i 0.0105056 0.446303i
\(248\) 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 0.982092 0.188402i \(-0.0603308\pi\)
−0.654207 + 0.756316i \(0.726997\pi\)
\(258\) −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 −0.998150 0.0607961i \(-0.980636\pi\)
−0.551726 0.834025i \(-0.686031\pi\)
\(264\) −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 −0.276815 0.960923i \(-0.589279\pi\)
0.970591 0.240733i \(-0.0773878\pi\)
\(270\) −0.584430 + 14.6854i −0.0355673 + 0.893723i
\(271\) 7.71867 + 13.3691i 0.468876 + 0.812116i 0.999367 0.0355739i \(-0.0113259\pi\)
−0.530491 + 0.847690i \(0.677993\pi\)
\(272\) −5.67475 −0.344082
\(273\) 15.7427 5.01658i 0.952794 0.303617i
\(274\) 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 −0.257884 0.966176i \(-0.583025\pi\)
0.965675 0.259754i \(-0.0836416\pi\)
\(278\) 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 \(-0.524645\pi\)
−0.0773469 + 0.997004i \(0.524645\pi\)
\(282\) 13.3837 2.17735i 0.796985 0.129659i
\(283\) −18.2700 10.5482i −1.08604 0.627024i −0.153519 0.988146i \(-0.549061\pi\)
−0.932519 + 0.361121i \(0.882394\pi\)
\(284\) −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
\(299\) 10.1497 + 0.238918i 0.586975 + 0.0138170i
\(300\) −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 \(-0.620284\pi\)
−0.368954 + 0.929448i \(0.620284\pi\)
\(308\) 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 −0.569451 0.822025i \(-0.692844\pi\)
0.996620 + 0.0821467i \(0.0261776\pi\)
\(312\) −6.18585 + 0.857465i −0.350205 + 0.0485444i
\(313\) 10.6006 6.12027i 0.599183 0.345938i −0.169537 0.985524i \(-0.554227\pi\)
0.768720 + 0.639585i \(0.220894\pi\)
\(314\) 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 \(-0.301167\pi\)
−0.994898 + 0.100883i \(0.967833\pi\)
\(318\) 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
\(325\) −9.49233 + 5.18647i −0.526540 + 0.287694i
\(326\) 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 −0.743897 + 0.668294i \(0.767025\pi\)
−0.950708 + 0.310087i \(0.899642\pi\)
\(332\) 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 \(0.517838\pi\)
\(338\) −7.02253 + 10.9400i −0.381975 + 0.595059i
\(339\) 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 0.758448 0.651734i \(-0.225958\pi\)
−0.185194 + 0.982702i \(0.559291\pi\)
\(348\) −0.112589 + 0.0183168i −0.00603539 + 0.000981882i
\(349\) 31.2915 1.67500 0.837498 0.546441i \(-0.184018\pi\)
0.837498 + 0.546441i \(0.184018\pi\)
\(350\) 7.82196 1.34871i 0.418101 0.0720916i
\(351\) 1.18533 18.6975i 0.0632684 0.997997i
\(352\) −2.97657 5.15557i −0.158652 0.274793i
\(353\) 3.55499 + 2.05247i 0.189213 + 0.109242i 0.591614 0.806221i \(-0.298491\pi\)
−0.402401 + 0.915463i \(0.631824\pi\)
\(354\) −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 −0.975630 0.219424i \(-0.929582\pi\)
0.297788 0.954632i \(-0.403751\pi\)
\(360\) 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
\(364\) 7.47238 5.92989i 0.391659 0.310811i
\(365\) 0.793322i 0.0415244i
\(366\) 25.2844 4.11344i 1.32163 0.215013i
\(367\) −13.3337 7.69823i −0.696015 0.401844i 0.109847 0.993949i \(-0.464964\pi\)
−0.805861 + 0.592104i \(0.798297\pi\)
\(368\) 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 0.939983 + 0.341221i \(0.110841\pi\)
−0.174485 + 0.984660i \(0.555826\pi\)
\(374\) 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 \(-0.913685\pi\)
−0.249761 + 0.968308i \(0.580352\pi\)
\(384\) −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 −0.425424 0.904994i \(-0.639875\pi\)
−0.996460 + 0.0840687i \(0.973208\pi\)
\(390\) 16.3649 + 6.64778i 0.828667 + 0.336624i
\(391\) 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 \(-0.108044\pi\)
−0.759815 + 0.650139i \(0.774710\pi\)
\(398\) 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 −0.999504 0.0314978i \(-0.989972\pi\)
0.472474 0.881345i \(-0.343361\pi\)
\(402\) 1.15495 + 1.41407i 0.0576036 + 0.0705276i
\(403\) 27.8131 15.1967i 1.38547 0.757000i
\(404\) 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 0.0322023 0.999481i \(-0.489748\pi\)
0.849475 0.527629i \(-0.176919\pi\)
\(410\) −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
\(416\) −3.16406 + 1.72880i −0.155131 + 0.0847612i
\(417\) 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
\(429\) 13.9919 34.4439i 0.675536 1.66297i
\(430\) 8.52859 + 4.92399i 0.411285 + 0.237456i
\(431\) 0.156980 0.271898i 0.00756147 0.0130968i −0.862220 0.506534i \(-0.830926\pi\)
0.869781 + 0.493437i \(0.164260\pi\)
\(432\) 2.77497 4.39313i 0.133511 0.211364i
\(433\) 7.25461i 0.348634i −0.984690 0.174317i \(-0.944228\pi\)
0.984690 0.174317i \(-0.0557718\pi\)
\(434\) −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 −0.807114 0.590395i \(-0.798972\pi\)
0.107740 + 0.994179i \(0.465639\pi\)
\(440\) 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 −0.0959775 0.995384i \(-0.530598\pi\)
0.814039 + 0.580811i \(0.197264\pi\)
\(444\) 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 \(-0.639499\pi\)
−0.424355 + 0.905496i \(0.639499\pi\)
\(450\) 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
\(455\) −26.6897 + 3.95769i −1.25123 + 0.185539i
\(456\) 3.15162 + 1.19465i 0.147588 + 0.0559446i
\(457\) −11.6122 + 6.70430i −0.543195 + 0.313614i −0.746373 0.665528i \(-0.768206\pi\)
0.203178 + 0.979142i \(0.434873\pi\)
\(458\) −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 0.785202 0.619240i \(-0.212559\pi\)
−0.928879 + 0.370385i \(0.879226\pi\)
\(468\) −3.18635 10.3367i −0.147289 0.477814i
\(469\) −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 \(-0.291339\pi\)
−0.381732 + 0.924273i \(0.624672\pi\)
\(480\) 3.09898 + 3.79427i 0.141448 + 0.173184i
\(481\) 0.669263 + 0.0157540i 0.0305158 + 0.000718319i
\(482\) 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 \(-0.582031\pi\)
−0.964858 + 0.262770i \(0.915364\pi\)
\(488\) 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 \(0.0555253\pi\)
−0.984824 + 0.173554i \(0.944475\pi\)
\(492\) 6.92166 1.12607i 0.312053 0.0507670i
\(493\) −0.323657 0.186863i −0.0145768 0.00841590i
\(494\) 6.15703 3.36411i 0.277018 0.151358i
\(495\) −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 \(-0.700051\pi\)
0.406591 + 0.913610i \(0.366717\pi\)
\(500\) −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
\(507\) −20.6559 8.96284i −0.917362 0.398054i
\(508\) −0.282065 + 0.488551i −0.0125146 + 0.0216759i
\(509\) 24.6547 14.2344i 1.09280 0.630929i 0.158480 0.987362i \(-0.449341\pi\)
0.934321 + 0.356434i \(0.116007\pi\)
\(510\) −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
\(520\) 10.1952 + 0.239989i 0.447091 + 0.0105242i
\(521\) 1.14358 1.98074i 0.0501012 0.0867779i −0.839887 0.542761i \(-0.817379\pi\)
0.889988 + 0.455983i \(0.150712\pi\)
\(522\) −0.0626278 0.187385i −0.00274114 0.00820160i
\(523\) 2.06219 1.19060i 0.0901732 0.0520615i −0.454235 0.890882i \(-0.650087\pi\)
0.544409 + 0.838820i \(0.316754\pi\)
\(524\) −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 \(-0.592772\pi\)
0.685832 + 0.727760i \(0.259438\pi\)
\(542\) −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
\(546\) 12.2159 + 11.1253i 0.522790 + 0.476120i
\(547\) −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 0.361427 + 0.932400i \(0.382290\pi\)
−0.988196 + 0.153195i \(0.951044\pi\)
\(558\) −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 −0.243891 0.969803i \(-0.578424\pi\)
0.961819 0.273686i \(-0.0882428\pi\)
\(564\) 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 −0.982649 0.185473i \(-0.940618\pi\)
−0.330700 + 0.943736i \(0.607285\pi\)
\(570\) −6.03039 7.38337i −0.252585 0.309255i
\(571\) −9.51154 + 16.4745i −0.398046 + 0.689435i −0.993485 0.113965i \(-0.963645\pi\)
0.595439 + 0.803400i \(0.296978\pi\)
\(572\) 0.505116 21.4584i 0.0211199 0.897222i
\(573\) 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 \(-0.992178\pi\)
0.521129 + 0.853478i \(0.325511\pi\)
\(578\) 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
\(585\) −6.81339 + 29.8259i −0.281699 + 1.23315i
\(586\) 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 −0.653322 + 0.757080i \(0.726625\pi\)
−0.982312 + 0.187253i \(0.940042\pi\)
\(594\) 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
\(598\) 4.86797 + 8.90940i 0.199066 + 0.364332i
\(599\) 35.1898 + 20.3169i 1.43782 + 0.830124i 0.997698 0.0678154i \(-0.0216029\pi\)
0.440119 + 0.897939i \(0.354936\pi\)
\(600\) −0.834392 5.12881i −0.0340639 0.209383i
\(601\) 14.9537i 0.609973i −0.952357 0.304986i \(-0.901348\pi\)
0.952357 0.304986i \(-0.0986519\pi\)
\(602\) 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 −0.584050 + 0.811718i \(0.698533\pi\)
−0.994993 + 0.0999432i \(0.968134\pi\)
\(608\) 1.94593 0.0789178
\(609\) 0.227851 + 0.197904i 0.00923299 + 0.00801949i
\(610\) −41.8322 −1.69373
\(611\) 28.2188 + 0.664250i 1.14161 + 0.0268727i
\(612\) 16.1463 5.39643i 0.652676 0.218138i
\(613\) −21.2198 12.2513i −0.857062 0.494825i 0.00596561 0.999982i \(-0.498101\pi\)
−0.863027 + 0.505157i \(0.831434\pi\)
\(614\) −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 \(-0.466872\pi\)
0.103887 + 0.994589i \(0.466872\pi\)
\(618\) 12.4962 2.03297i 0.502671 0.0817782i
\(619\) 23.5913 40.8613i 0.948214 1.64235i 0.199028 0.979994i \(-0.436221\pi\)
0.749185 0.662360i \(-0.230445\pi\)
\(620\) −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
\(624\) −3.83551 4.92837i −0.153543 0.197293i
\(625\) 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
\(637\) −24.7071 5.15360i −0.978931 0.204193i
\(638\) 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 0.873281 0.487218i \(-0.161988\pi\)
0.0146975 + 0.999892i \(0.495321\pi\)
\(642\) −27.8548 + 4.53163i −1.09934 + 0.178849i
\(643\) 38.3382 1.51191 0.755956 0.654622i \(-0.227172\pi\)
0.755956 + 0.654622i \(0.227172\pi\)
\(644\) −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 −0.339430 0.940631i \(-0.610234\pi\)
0.984326 0.176361i \(-0.0564326\pi\)
\(648\) 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 −0.542657 0.839954i \(-0.682582\pi\)
0.456093 + 0.889932i \(0.349248\pi\)
\(654\) 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 \(0.0788693\pi\)
−0.969460 + 0.245248i \(0.921131\pi\)
\(660\) −28.7860 + 4.68311i −1.12049 + 0.182290i
\(661\) −3.19978 + 5.54218i −0.124457 + 0.215566i −0.921521 0.388330i \(-0.873052\pi\)
0.797064 + 0.603895i \(0.206386\pi\)
\(662\) −30.8306 17.8001i −1.19827 0.691820i
\(663\) 13.3376 32.8332i 0.517989 1.27513i
\(664\) 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
\(676\) −12.9856 0.611682i −0.499446 0.0235262i
\(677\) −9.07040 15.7104i −0.348604 0.603800i 0.637398 0.770535i \(-0.280011\pi\)
−0.986002 + 0.166735i \(0.946677\pi\)
\(678\) −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 \(-0.932466\pi\)
0.671152 + 0.741319i \(0.265800\pi\)
\(684\) −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
\(689\) 7.54440 + 13.8078i 0.287419 + 0.526037i
\(690\) 10.6840 8.72615i 0.406731 0.332199i
\(691\) 7.72531 + 13.3806i 0.293885 + 0.509023i 0.974725 0.223409i \(-0.0717185\pi\)
−0.680840 + 0.732432i \(0.738385\pi\)
\(692\) 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 \(-0.923399\pi\)
0.971184 0.238332i \(-0.0766007\pi\)
\(702\) 16.7851 8.32220i 0.633514 0.314101i
\(703\) −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 \(-0.469513\pi\)
0.909872 + 0.414888i \(0.136179\pi\)
\(710\) 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 0.680197 0.733030i \(-0.261894\pi\)
−0.974921 + 0.222553i \(0.928561\pi\)
\(720\) −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 \(0.270959\pi\)
−0.659050 + 0.752099i \(0.729041\pi\)
\(728\) 8.87162 + 3.50632i 0.328804 + 0.129953i
\(729\) −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 \(-0.0667053\pi\)
−0.669221 + 0.743064i \(0.733372\pi\)
\(734\) 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 \(-0.425559\pi\)
−0.726582 + 0.687080i \(0.758892\pi\)
\(740\) −0.262580 0.454802i −0.00965264 0.0167189i
\(741\) 7.46363 + 9.59025i 0.274183 + 0.352307i
\(742\) −1.96188 11.3781i −0.0720227 0.417702i
\(743\) 10.6415 0.390398 0.195199 0.980764i \(-0.437465\pi\)
0.195199 + 0.980764i \(0.437465\pi\)
\(744\) 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 0.849821 0.527072i \(-0.176710\pi\)
−0.881368 + 0.472431i \(0.843377\pi\)
\(752\) 6.77981 + 3.91432i 0.247234 + 0.142741i
\(753\) 32.4465 26.5007i 1.18241 0.965741i
\(754\) −0.237388 0.00558794i −0.00864516 0.000203501i
\(755\) 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 \(-0.606316\pi\)
0.654254 + 0.756275i \(0.272983\pi\)
\(762\) −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
\(767\) −23.2032 42.4667i −0.837818 1.53338i
\(768\) −0.278126 1.70957i −0.0100360 0.0616890i
\(769\) −20.6870 −0.745993 −0.372997 0.927833i \(-0.621670\pi\)
−0.372997 + 0.927833i \(0.621670\pi\)
\(770\) 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 \(-0.287184\pi\)
−0.369635 + 0.929177i \(0.620517\pi\)
\(774\) 9.90666 3.31101i 0.356088 0.119012i