Properties

Label 546.2.bg.b.311.10
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 311.10
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.b.467.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(0.278126 - 1.70957i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.44950 - 1.41422i) q^{5} +(1.61960 - 0.613923i) q^{6} +(-2.60728 + 0.449563i) q^{7} -1.00000 q^{8} +(-2.84529 - 0.950954i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(0.278126 - 1.70957i) 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} +(-2.84529 - 0.950954i) q^{9} +(2.44950 + 1.41422i) q^{10} +(2.97657 - 5.15557i) q^{11} +(1.34147 + 1.09565i) 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} +(-0.599095 - 2.93957i) q^{18} +(-0.972964 - 1.68522i) q^{19} +2.82844i q^{20} +(0.0434094 + 4.58237i) q^{21} +5.95314 q^{22} +(2.43857 - 1.40791i) q^{23} +(-0.278126 + 1.70957i) 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} +(3.09898 - 3.79427i) q^{30} +(4.39516 - 7.61265i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-7.98598 - 6.52257i) 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} +(-2.35034 - 5.78584i) q^{39} +(-2.44950 + 1.41422i) q^{40} +4.04876i q^{41} +(-3.94674 + 2.32878i) q^{42} +3.48177 q^{43} +(2.97657 + 5.15557i) q^{44} +(-8.31439 + 1.69450i) 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} +(7.61252 + 6.21755i) q^{51} +(0.0848486 + 3.60455i) q^{52} +(3.77930 + 2.18198i) q^{53} +(-5.19204 + 0.206627i) 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} +(4.83542 + 0.786662i) q^{60} +(-12.8084 + 7.39493i) q^{61} +8.79033 q^{62} +(7.84598 + 1.20026i) q^{63} +1.00000 q^{64} +(4.88979 - 8.94934i) q^{65} +(1.65572 - 10.1773i) 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} +(2.84529 + 0.950954i) q^{72} +(-0.140240 + 0.242904i) q^{73} +(0.160796 + 0.0928358i) q^{74} +(-4.02448 - 3.28701i) 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} +(7.19137 + 5.41149i) q^{81} +(-3.50633 + 2.02438i) q^{82} -0.940520i q^{83} +(-3.99015 - 2.25359i) q^{84} +16.0507i q^{85} +(1.74089 + 3.01530i) q^{86} +(0.112589 + 0.0183168i) 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} +(-11.7920 - 9.63114i) q^{93} +(-6.77981 - 3.91432i) q^{94} +(-4.76654 - 2.75197i) q^{95} +(-1.34147 - 1.09565i) 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
\(3\) 0.278126 1.70957i 0.160576 0.987023i
\(4\) −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
\(9\) −2.84529 0.950954i −0.948431 0.316985i
\(10\) 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 \(-0.187930\pi\)
\(12\) 1.34147 + 1.09565i 0.387250 + 0.316287i
\(13\) 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 \(0.408250\pi\)
−0.972431 + 0.233190i \(0.925083\pi\)
\(18\) −0.599095 2.93957i −0.141208 0.692864i
\(19\) −0.972964 1.68522i −0.223213 0.386617i 0.732569 0.680693i \(-0.238321\pi\)
−0.955782 + 0.294077i \(0.904988\pi\)
\(20\) 2.82844i 0.632458i
\(21\) 0.0434094 + 4.58237i 0.00947272 + 0.999955i
\(22\) 5.95314 1.26921
\(23\) 2.43857 1.40791i 0.508476 0.293569i −0.223731 0.974651i \(-0.571824\pi\)
0.732207 + 0.681082i \(0.238490\pi\)
\(24\) −0.278126 + 1.70957i −0.0567722 + 0.348965i
\(25\) 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 \(0.998054\pi\)
\(30\) 3.09898 3.79427i 0.565794 0.692735i
\(31\) 4.39516 7.61265i 0.789395 1.36727i −0.136944 0.990579i \(-0.543728\pi\)
0.926338 0.376693i \(-0.122939\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −7.98598 6.52257i −1.39018 1.13543i
\(34\) −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 −0.486724 0.873556i \(-0.661808\pi\)
0.513159 + 0.858293i \(0.328475\pi\)
\(38\) 0.972964 1.68522i 0.157836 0.273379i
\(39\) −2.35034 5.78584i −0.376355 0.926475i
\(40\) −2.44950 + 1.41422i −0.387300 + 0.223607i
\(41\) 4.04876i 0.632310i 0.948707 + 0.316155i \(0.102392\pi\)
−0.948707 + 0.316155i \(0.897608\pi\)
\(42\) −3.94674 + 2.32878i −0.608996 + 0.359338i
\(43\) 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
\(45\) −8.31439 + 1.69450i −1.23944 + 0.252602i
\(46\) 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
\(51\) 7.61252 + 6.21755i 1.06597 + 0.870631i
\(52\) 0.0848486 + 3.60455i 0.0117664 + 0.499862i
\(53\) 3.77930 + 2.18198i 0.519127 + 0.299718i 0.736578 0.676353i \(-0.236441\pi\)
−0.217450 + 0.976071i \(0.569774\pi\)
\(54\) −5.19204 + 0.206627i −0.706547 + 0.0281183i
\(55\) 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 \(0.328400\pi\)
\(60\) 4.83542 + 0.786662i 0.624250 + 0.101558i
\(61\) −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
\(63\) 7.84598 + 1.20026i 0.988500 + 0.151219i
\(64\) 1.00000 0.125000
\(65\) 4.88979 8.94934i 0.606503 1.11003i
\(66\) 1.65572 10.1773i 0.203806 1.25274i
\(67\) 0.912896 + 0.527061i 0.111528 + 0.0643907i 0.554726 0.832033i \(-0.312823\pi\)
−0.443198 + 0.896424i \(0.646156\pi\)
\(68\) −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 \(0.380689\pi\)
\(72\) 2.84529 + 0.950954i 0.335321 + 0.112071i
\(73\) −0.140240 + 0.242904i −0.0164139 + 0.0284297i −0.874116 0.485718i \(-0.838558\pi\)
0.857702 + 0.514147i \(0.171892\pi\)
\(74\) 0.160796 + 0.0928358i 0.0186922 + 0.0107919i
\(75\) −4.02448 3.28701i −0.464707 0.379551i
\(76\) 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
\(81\) 7.19137 + 5.41149i 0.799041 + 0.601276i
\(82\) −3.50633 + 2.02438i −0.387209 + 0.223556i
\(83\) 0.940520i 0.103235i −0.998667 0.0516177i \(-0.983562\pi\)
0.998667 0.0516177i \(-0.0164377\pi\)
\(84\) −3.99015 2.25359i −0.435361 0.245887i
\(85\) 16.0507i 1.74094i
\(86\) 1.74089 + 3.01530i 0.187725 + 0.325149i
\(87\) 0.112589 + 0.0183168i 0.0120708 + 0.00196376i
\(88\) −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
\(91\) −7.18508 + 6.27492i −0.753201 + 0.657790i
\(92\) 2.81581i 0.293569i
\(93\) −11.7920 9.63114i −1.22277 0.998702i
\(94\) −6.77981 3.91432i −0.699284 0.403732i
\(95\) −4.76654 2.75197i −0.489037 0.282346i
\(96\) −1.34147 1.09565i −0.136913 0.111824i
\(97\) 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 \(-0.940421\pi\)
0.652419 + 0.757859i \(0.273754\pi\)
\(102\) −1.57830 + 9.70141i −0.156275 + 0.960582i
\(103\) −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
\(105\) 6.58680 + 11.1631i 0.642806 + 1.08941i
\(106\) 4.36396i 0.423866i
\(107\) −14.1105 + 8.14672i −1.36412 + 0.787573i −0.990169 0.139877i \(-0.955329\pi\)
−0.373947 + 0.927450i \(0.621996\pi\)
\(108\) −2.77497 4.39313i −0.267021 0.422729i
\(109\) 1.45673 + 0.841043i 0.139529 + 0.0805573i 0.568140 0.822932i \(-0.307663\pi\)
−0.428610 + 0.903489i \(0.640997\pi\)
\(110\) 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 \(0.869743\pi\)
\(114\) −2.61041 2.13206i −0.244487 0.199686i
\(115\) 3.98217 6.89733i 0.371340 0.643179i
\(116\) −0.0570345 0.0329289i −0.00529552 0.00305737i
\(117\) −10.5450 + 2.40889i −0.974887 + 0.222702i
\(118\) 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
\(123\) 6.92166 + 1.12607i 0.624105 + 0.101534i
\(124\) 4.39516 + 7.61265i 0.394697 + 0.683636i
\(125\) 5.65673i 0.505953i
\(126\) 2.88353 + 7.39495i 0.256885 + 0.658794i
\(127\) 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
\(129\) 0.968372 5.95235i 0.0852604 0.524075i
\(130\) 10.1952 0.239989i 0.894182 0.0210484i
\(131\) −8.86611 15.3566i −0.774636 1.34171i −0.934999 0.354651i \(-0.884600\pi\)
0.160363 0.987058i \(-0.448733\pi\)
\(132\) 9.64170 3.65477i 0.839202 0.318107i
\(133\) 3.29440 + 3.95643i 0.285661 + 0.343066i
\(134\) 1.05412i 0.0910622i
\(135\) 0.584430 + 14.6854i 0.0502997 + 1.26391i
\(136\) 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 \(0.0878334\pi\)
\(138\) 3.08515 3.77734i 0.262625 0.321548i
\(139\) 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
\(143\) −0.505116 21.4584i −0.0422399 1.79444i
\(144\) 0.599095 + 2.93957i 0.0499246 + 0.244964i
\(145\) 0.0931373 + 0.161318i 0.00773463 + 0.0133968i
\(146\) −0.280481 −0.0232128
\(147\) −2.17324 11.9280i −0.179246 0.983804i
\(148\) 0.185672i 0.0152621i
\(149\) 7.77314 + 13.4635i 0.636801 + 1.10297i 0.986131 + 0.165971i \(0.0530759\pi\)
−0.349330 + 0.937000i \(0.613591\pi\)
\(150\) 0.834392 5.12881i 0.0681278 0.418766i
\(151\) −18.1605 10.4850i −1.47788 0.853256i −0.478196 0.878253i \(-0.658709\pi\)
−0.999688 + 0.0249970i \(0.992042\pi\)
\(152\) 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
\(156\) 6.18585 + 0.857465i 0.495264 + 0.0686521i
\(157\) 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
\(159\) 4.78138 5.85414i 0.379188 0.464263i
\(160\) 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 −0.542239 0.840224i \(-0.682423\pi\)
0.456536 + 0.889705i \(0.349090\pi\)
\(164\) −3.50633 2.02438i −0.273798 0.158078i
\(165\) −28.7860 4.68311i −2.24098 0.364580i
\(166\) 0.814514 0.470260i 0.0632185 0.0364992i
\(167\) 14.8995i 1.15296i 0.817111 + 0.576480i \(0.195574\pi\)
−0.817111 + 0.576480i \(0.804426\pi\)
\(168\) −0.0434094 4.58237i −0.00334911 0.353538i
\(169\) 5.96307 11.5517i 0.458698 0.888592i
\(170\) −13.9003 + 8.02533i −1.06610 + 0.615515i
\(171\) 1.16580 + 5.72019i 0.0891506 + 0.437434i
\(172\) −1.74089 + 3.01530i −0.132741 + 0.229915i
\(173\) 5.85736 + 10.1453i 0.445327 + 0.771329i 0.998075 0.0620193i \(-0.0197540\pi\)
−0.552748 + 0.833349i \(0.686421\pi\)
\(174\) 0.0404316 + 0.106663i 0.00306511 + 0.00808611i
\(175\) −2.74296 + 7.44837i −0.207349 + 0.563044i
\(176\) −5.95314 −0.448735
\(177\) 14.7054 18.0047i 1.10532 1.35331i
\(178\) −4.61927 2.66694i −0.346229 0.199895i
\(179\) 4.54314 + 2.62298i 0.339570 + 0.196051i 0.660082 0.751194i \(-0.270522\pi\)
−0.320512 + 0.947245i \(0.603855\pi\)
\(180\) 2.68971 8.04773i 0.200479 0.599842i
\(181\) 3.34763i 0.248827i 0.992230 + 0.124414i \(0.0397049\pi\)
−0.992230 + 0.124414i \(0.960295\pi\)
\(182\) −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
\(186\) 2.44482 15.0277i 0.179263 1.10189i
\(187\) 16.8913 + 29.2566i 1.23521 + 2.13945i
\(188\) 7.82865i 0.570963i
\(189\) 4.23411 13.0795i 0.307986 0.951391i
\(190\) 5.50393i 0.399297i
\(191\) 12.5958 7.27218i 0.911399 0.526196i 0.0305177 0.999534i \(-0.490284\pi\)
0.880881 + 0.473338i \(0.156951\pi\)
\(192\) 0.278126 1.70957i 0.0200720 0.123378i
\(193\) −3.56744 2.05966i −0.256790 0.148258i 0.366079 0.930584i \(-0.380700\pi\)
−0.622869 + 0.782326i \(0.714033\pi\)
\(194\) 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 \(0.450848\pi\)
\(198\) −16.9384 5.66117i −1.20376 0.402322i
\(199\) −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
\(201\) 1.15495 1.41407i 0.0814639 0.0997411i
\(202\) −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
\(207\) −8.27729 + 1.68694i −0.575311 + 0.117250i
\(208\) −3.16406 1.72880i −0.219388 0.119870i
\(209\) −11.5844 −0.801309
\(210\) −6.37414 + 11.2859i −0.439857 + 0.778801i
\(211\) 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
\(213\) 1.71598 10.5477i 0.117577 0.722718i
\(214\) −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
\(219\) 0.376257 + 0.307309i 0.0254251 + 0.0207660i
\(220\) 14.5822 + 8.41904i 0.983132 + 0.567612i
\(221\) 0.481494 + 20.4549i 0.0323888 + 1.37595i
\(222\) 0.203431 0.249073i 0.0136534 0.0167167i
\(223\) 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 \(-0.369766\pi\)
−0.595635 + 0.803255i \(0.703099\pi\)
\(228\) 0.541213 3.32671i 0.0358427 0.220317i
\(229\) −11.6436 20.1673i −0.769429 1.33269i −0.937873 0.346979i \(-0.887208\pi\)
0.168444 0.985711i \(-0.446126\pi\)
\(230\) 7.96435 0.525154
\(231\) 23.7540 + 13.4160i 1.56290 + 0.882705i
\(232\) 0.0658578i 0.00432378i
\(233\) 11.5261 6.65459i 0.755099 0.435957i −0.0724345 0.997373i \(-0.523077\pi\)
0.827533 + 0.561417i \(0.189743\pi\)
\(234\) −7.35866 7.92780i −0.481051 0.518257i
\(235\) −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 \(0.503508\pi\)
\(240\) −3.09898 + 3.79427i −0.200038 + 0.244919i
\(241\) −2.07800 + 3.59921i −0.133856 + 0.231845i −0.925160 0.379578i \(-0.876069\pi\)
0.791304 + 0.611423i \(0.209403\pi\)
\(242\) 12.2200 21.1656i 0.785528 1.36058i
\(243\) 11.2514 10.7891i 0.721781 0.692122i
\(244\) 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
\(249\) −1.60789 0.261583i −0.101896 0.0165771i
\(250\) −4.89887 + 2.82837i −0.309832 + 0.178882i
\(251\) 24.1872 1.52668 0.763341 0.645995i \(-0.223557\pi\)
0.763341 + 0.645995i \(0.223557\pi\)
\(252\) −4.96245 + 6.19468i −0.312605 + 0.390228i
\(253\) 16.7629i 1.05388i
\(254\) 0.282065 + 0.488551i 0.0176983 + 0.0306544i
\(255\) 27.4398 + 4.46411i 1.71835 + 0.279553i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −5.25640 9.10435i −0.327885 0.567914i 0.654207 0.756316i \(-0.273003\pi\)
−0.982092 + 0.188402i \(0.939669\pi\)
\(258\) 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
\(261\) 0.0626278 0.187385i 0.00387656 0.0115988i
\(262\) 8.86611 15.3566i 0.547750 0.948731i
\(263\) 25.1348 + 14.5116i 1.54988 + 0.894822i 0.998150 + 0.0607961i \(0.0193640\pi\)
0.551726 + 0.834025i \(0.313969\pi\)
\(264\) 7.98598 + 6.52257i 0.491503 + 0.401436i
\(265\) 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 \(0.410721\pi\)
−0.970591 + 0.240733i \(0.922612\pi\)
\(270\) −12.4257 + 7.84881i −0.756203 + 0.477663i
\(271\) −7.71867 13.3691i −0.468876 0.812116i 0.530491 0.847690i \(-0.322007\pi\)
−0.999367 + 0.0355739i \(0.988674\pi\)
\(272\) 5.67475 0.344082
\(273\) 8.72908 + 14.0287i 0.528308 + 0.849053i
\(274\) 5.73854 0.346678
\(275\) −8.92986 15.4670i −0.538491 0.932694i
\(276\) 4.81384 + 0.783151i 0.289759 + 0.0471402i
\(277\) 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 \(0.524645\pi\)
\(282\) −8.57747 + 10.5019i −0.510781 + 0.625380i
\(283\) −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
\(285\) −6.03039 + 7.38337i −0.357210 + 0.437353i
\(286\) 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
\(291\) 2.67081 16.4169i 0.156566 0.962373i
\(292\) −0.140240 0.242904i −0.00820695 0.0142149i
\(293\) 13.6747i 0.798886i −0.916758 0.399443i \(-0.869204\pi\)
0.916758 0.399443i \(-0.130796\pi\)
\(294\) 9.24332 7.84608i 0.539082 0.457593i
\(295\) 37.9621 2.21024
\(296\) −0.160796 + 0.0928358i −0.00934610 + 0.00539597i
\(297\) 16.5198 + 26.1529i 0.958574 + 1.51755i
\(298\) −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
\(303\) 8.90099 + 7.26991i 0.511348 + 0.417645i
\(304\) −0.972964 + 1.68522i −0.0558033 + 0.0966542i
\(305\) −20.9161 + 36.2277i −1.19765 + 2.07439i
\(306\) 16.1463 + 5.39643i 0.923023 + 0.308493i
\(307\) 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 \(-0.973822\pi\)
0.569451 + 0.822025i \(0.307156\pi\)
\(312\) 2.35034 + 5.78584i 0.133062 + 0.327558i
\(313\) 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
\(315\) 20.9161 8.15588i 1.17849 0.459532i
\(316\) −8.36148 −0.470370
\(317\) −7.30130 12.6462i −0.410082 0.710283i 0.584816 0.811166i \(-0.301167\pi\)
−0.994898 + 0.100883i \(0.967833\pi\)
\(318\) 7.46052 + 1.21373i 0.418365 + 0.0680627i
\(319\) 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
\(324\) −8.28217 + 3.52217i −0.460121 + 0.195676i
\(325\) −0.254550 10.8138i −0.0141199 0.599844i
\(326\) −1.09419 0.631733i −0.0606018 0.0349885i
\(327\) 1.84298 2.25647i 0.101917 0.124783i
\(328\) 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 \(-0.232975\pi\)
0.950708 0.310087i \(-0.100358\pi\)
\(332\) 0.814514 + 0.470260i 0.0447023 + 0.0258089i
\(333\) −0.545795 + 0.111235i −0.0299094 + 0.00609564i
\(334\) −12.9034 + 7.44977i −0.706041 + 0.407633i
\(335\) 2.98151 0.162898
\(336\) 3.94674 2.32878i 0.215313 0.127045i
\(337\) −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
\(339\) 14.4616 + 2.35273i 0.785449 + 0.127783i
\(340\) −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
\(345\) −10.6840 8.72615i −0.575205 0.469800i
\(346\) −5.85736 + 10.1453i −0.314894 + 0.545412i
\(347\) −10.6785 6.16526i −0.573254 0.330968i 0.185194 0.982702i \(-0.440709\pi\)
−0.758448 + 0.651734i \(0.774042\pi\)
\(348\) −0.0721572 + 0.0883464i −0.00386803 + 0.00473586i
\(349\) −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
\(351\) 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 \(0.631824\pi\)
\(354\) 22.9452 + 3.73289i 1.21952 + 0.198401i
\(355\) 15.1129 8.72543i 0.802109 0.463098i
\(356\) 5.33387i 0.282695i
\(357\) −22.6431 12.7886i −1.19840 0.676843i
\(358\) 5.24597i 0.277258i
\(359\) −12.8433 22.2452i −0.677842 1.17406i −0.975630 0.219424i \(-0.929582\pi\)
0.297788 0.954632i \(-0.403751\pi\)
\(360\) 8.31439 1.69450i 0.438207 0.0893081i
\(361\) 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
\(366\) −16.2045 + 19.8402i −0.847024 + 1.03706i
\(367\) −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
\(369\) 3.85019 11.5199i 0.200433 0.599703i
\(370\) 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
\(375\) 9.67060 + 1.57328i 0.499388 + 0.0812440i
\(376\) 6.77981 3.91432i 0.349642 0.201866i
\(377\) 0.123533 + 0.202790i 0.00636229 + 0.0104442i
\(378\) 13.4442 2.87288i 0.691495 0.147765i
\(379\) 14.2729i 0.733151i −0.930388 0.366576i \(-0.880530\pi\)
0.930388 0.366576i \(-0.119470\pi\)
\(380\) 4.76654 2.75197i 0.244519 0.141173i
\(381\) 0.156899 0.964422i 0.00803819 0.0494088i
\(382\) 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
\(387\) −9.90666 3.31101i −0.503584 0.168308i
\(388\) −4.80144 + 8.31634i −0.243756 + 0.422198i
\(389\) 28.0439 + 16.1912i 1.42188 + 0.820925i 0.996460 0.0840687i \(-0.0267915\pi\)
0.425424 + 0.904994i \(0.360125\pi\)
\(390\) 2.42528 17.4963i 0.122809 0.885959i
\(391\) 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
\(396\) −3.56650 17.4997i −0.179223 0.879393i
\(397\) −3.64884 6.31997i −0.183130 0.317190i 0.759815 0.650139i \(-0.225290\pi\)
−0.942945 + 0.332949i \(0.891956\pi\)
\(398\) 20.7801i 1.04161i
\(399\) 7.68008 4.53163i 0.384485 0.226866i
\(400\) −3.00005 −0.150002
\(401\) −10.5538 18.2797i −0.527030 0.912842i −0.999504 0.0314978i \(-0.989972\pi\)
0.472474 0.881345i \(-0.343361\pi\)
\(402\) 1.80210 + 0.293179i 0.0898805 + 0.0146224i
\(403\) −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
\(408\) −7.61252 6.21755i −0.376876 0.307814i
\(409\) −17.8308 + 30.8839i −0.881677 + 1.52711i −0.0322023 + 0.999481i \(0.510252\pi\)
−0.849475 + 0.527629i \(0.823081\pi\)
\(410\) −5.72583 + 9.91743i −0.282779 + 0.489787i
\(411\) −7.69809 6.28744i −0.379719 0.310136i
\(412\) 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
\(417\) −13.9656 2.27203i −0.683898 0.111262i
\(418\) −5.79219 10.0324i −0.283305 0.490699i
\(419\) −26.4452 −1.29193 −0.645966 0.763367i \(-0.723545\pi\)
−0.645966 + 0.763367i \(0.723545\pi\)
\(420\) −12.9609 + 0.122781i −0.632429 + 0.00599109i
\(421\) 14.7368i 0.718230i 0.933293 + 0.359115i \(0.116921\pi\)
−0.933293 + 0.359115i \(0.883079\pi\)
\(422\) 3.97607 + 6.88675i 0.193552 + 0.335242i
\(423\) 23.0129 4.69011i 1.11892 0.228041i
\(424\) −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
\(429\) −36.8253 5.10461i −1.77794 0.246453i
\(430\) 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 \(0.164260\pi\)
\(432\) 5.19204 0.206627i 0.249802 0.00994132i
\(433\) 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
\(438\) −0.0780090 + 0.479503i −0.00372742 + 0.0229115i
\(439\) −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
\(441\) −20.9962 + 0.397836i −0.999821 + 0.0189446i
\(442\) −17.4737 + 10.6445i −0.831141 + 0.506305i
\(443\) −15.1134 + 8.72575i −0.718061 + 0.414573i −0.814039 0.580811i \(-0.802736\pi\)
0.0959775 + 0.995384i \(0.469402\pi\)
\(444\) 0.317420 + 0.0516401i 0.0150641 + 0.00245073i
\(445\) −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 \(0.639499\pi\)
\(450\) −8.53602 2.85291i −0.402392 0.134488i
\(451\) 20.8737 + 12.0514i 0.982904 + 0.567480i
\(452\) −7.32589 4.22960i −0.344581 0.198944i
\(453\) −22.9758 + 28.1306i −1.07950 + 1.32169i
\(454\) 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 −0.203178 0.979142i \(-0.565127\pi\)
0.746373 + 0.665528i \(0.231794\pi\)
\(458\) 11.6436 20.1673i 0.544068 0.942354i
\(459\) −15.7472 24.9299i −0.735018 1.16363i
\(460\) 3.98217 + 6.89733i 0.185670 + 0.321590i
\(461\) 26.0507i 1.21330i −0.794968 0.606652i \(-0.792512\pi\)
0.794968 0.606652i \(-0.207488\pi\)
\(462\) 0.258423 + 27.2795i 0.0120229 + 1.26916i
\(463\) 2.25851i 0.104962i −0.998622 0.0524809i \(-0.983287\pi\)
0.998622 0.0524809i \(-0.0167129\pi\)
\(464\) 0.0570345 0.0329289i 0.00264776 0.00152869i
\(465\) −42.5049 6.91501i −1.97112 0.320676i
\(466\) 11.5261 + 6.65459i 0.533935 + 0.308268i
\(467\) 3.10488 + 5.37781i 0.143677 + 0.248856i 0.928879 0.370385i \(-0.120774\pi\)
−0.785202 + 0.619240i \(0.787441\pi\)
\(468\) 3.18635 10.3367i 0.147289 0.477814i
\(469\) −2.61712 0.963789i −0.120847 0.0445036i
\(470\) −22.1428 −1.02137
\(471\) 15.9210 19.4931i 0.733602 0.898192i
\(472\) −11.6234 6.71079i −0.535012 0.308889i
\(473\) 10.3637 17.9505i 0.476526 0.825366i
\(474\) 11.2167 + 9.16127i 0.515200 + 0.420791i
\(475\) −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 \(0.624672\pi\)
\(480\) −4.83542 0.786662i −0.220706 0.0359060i
\(481\) 0.320988 0.587476i 0.0146358 0.0267866i
\(482\) −4.15601 −0.189301
\(483\) 6.55741 + 11.1133i 0.298372 + 0.505672i
\(484\) 24.4399 1.11091
\(485\) 23.5222 13.5806i 1.06809 0.616662i
\(486\) 14.9694 + 4.34948i 0.679024 + 0.197297i
\(487\) 26.9169 + 15.5405i 1.21972 + 0.704207i 0.964858 0.262770i \(-0.0846361\pi\)
0.254864 + 0.966977i \(0.417969\pi\)
\(488\) 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 \(-0.0555253\pi\)
\(492\) −4.43603 + 5.43130i −0.199992 + 0.244862i
\(493\) −0.323657 0.186863i −0.0145768 0.00841590i
\(494\) −0.165109 7.01420i −0.00742861 0.315584i
\(495\) −16.0123 + 47.9093i −0.719697 + 2.15336i
\(496\) −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 −0.406591 0.913610i \(-0.633283\pi\)
0.587914 + 0.808923i \(0.299949\pi\)
\(500\) −4.89887 2.82837i −0.219084 0.126488i
\(501\) 25.4719 + 4.14395i 1.13800 + 0.185138i
\(502\) 12.0936 + 20.9467i 0.539764 + 0.934898i
\(503\) 24.1876 1.07847 0.539236 0.842155i \(-0.318713\pi\)
0.539236 + 0.842155i \(0.318713\pi\)
\(504\) −7.84598 1.20026i −0.349488 0.0534640i
\(505\) 18.7673i 0.835136i
\(506\) 14.5171 8.38147i 0.645365 0.372602i
\(507\) −18.0900 13.4071i −0.803406 0.595432i
\(508\) −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
\(513\) 10.1033 0.402080i 0.446073 0.0177523i
\(514\) 5.25640 9.10435i 0.231850 0.401576i
\(515\) −10.3373 + 17.9047i −0.455515 + 0.788976i
\(516\) 4.67070 + 3.81481i 0.205616 + 0.167938i
\(517\) 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 \(-0.849288\pi\)
0.839887 + 0.542761i \(0.182621\pi\)
\(522\) 0.193594 0.0394551i 0.00847337 0.00172690i
\(523\) 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
\(525\) 11.9707 + 6.76089i 0.522442 + 0.295069i
\(526\) 29.0231i 1.26547i
\(527\) 24.9414 + 43.1999i 1.08647 + 1.88182i
\(528\) −1.65572 + 10.1773i −0.0720561 + 0.442912i
\(529\) −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
\(534\) −5.84407 + 7.15524i −0.252897 + 0.309638i
\(535\) −23.0425 + 39.9107i −0.996213 + 1.72549i
\(536\) −0.912896 0.527061i −0.0394311 0.0227655i
\(537\) 5.74775 7.03732i 0.248034 0.303683i
\(538\) −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 −0.685832 0.727760i \(-0.740562\pi\)
0.287343 + 0.957828i \(0.407228\pi\)
\(542\) 7.71867 13.3691i 0.331545 0.574253i
\(543\) 5.72302 + 0.931062i 0.245598 + 0.0399557i
\(544\) 2.83737 + 4.91448i 0.121651 + 0.210706i
\(545\) 4.75767 0.203796
\(546\) −7.78463 + 14.5739i −0.333151 + 0.623707i
\(547\) −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
\(549\) 43.4758 8.86053i 1.85550 0.378158i
\(550\) 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
\(555\) −0.704488 0.575393i −0.0299039 0.0244241i
\(556\) 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 \(0.951044\pi\)
\(558\) −25.0110 8.35920i −1.05880 0.353873i
\(559\) 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 \(0.421576\pi\)
−0.961819 + 0.273686i \(0.911757\pi\)
\(564\) −13.3837 2.17735i −0.563554 0.0916830i
\(565\) 11.9632 + 20.7208i 0.503294 + 0.871731i
\(566\) 21.0964i 0.886746i
\(567\) −21.1827 10.8763i −0.889590 0.456760i
\(568\) −6.16979 −0.258879
\(569\) 31.3283 18.0874i 1.31335 0.758263i 0.330700 0.943736i \(-0.392715\pi\)
0.982649 + 0.185473i \(0.0593819\pi\)
\(570\) −9.40938 1.53079i −0.394116 0.0641176i
\(571\) −9.51154 + 16.4745i −0.398046 + 0.689435i −0.993485 0.113965i \(-0.963645\pi\)
0.595439 + 0.803400i \(0.296978\pi\)
\(572\) 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
\(576\) −2.84529 0.950954i −0.118554 0.0396231i
\(577\) 11.4956 19.9110i 0.478569 0.828906i −0.521129 0.853478i \(-0.674489\pi\)
0.999698 + 0.0245722i \(0.00782238\pi\)
\(578\) 7.60139 13.1660i 0.316176 0.547633i
\(579\) −4.51334 + 5.52596i −0.187568 + 0.229651i
\(580\) −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
\(585\) −22.4233 + 20.8135i −0.927089 + 0.860533i
\(586\) 11.8427 6.83736i 0.489215 0.282449i
\(587\) 19.0243i 0.785216i −0.919706 0.392608i \(-0.871573\pi\)
0.919706 0.392608i \(-0.128427\pi\)
\(588\) 11.4166 + 4.08191i 0.470811 + 0.168335i
\(589\) −17.1053 −0.704813
\(590\) 18.9810 + 32.8761i 0.781437 + 1.35349i
\(591\) 1.20080 7.38102i 0.0493942 0.303614i
\(592\) −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
\(597\) −22.7677 + 27.8759i −0.931820 + 1.14088i
\(598\) 10.1497 0.238918i 0.415054 0.00977007i
\(599\) −35.1898 20.3169i −1.43782 0.830124i −0.440119 0.897939i \(-0.645064\pi\)
−0.997698 + 0.0678154i \(0.978397\pi\)
\(600\) 4.02448 + 3.28701i 0.164299 + 0.134192i
\(601\) 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
\(606\) −1.84543 + 11.3434i −0.0749656 + 0.460796i
\(607\) −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
\(609\) −0.301785 + 0.00285885i −0.0122289 + 0.000115846i
\(610\) −41.8322 −1.69373
\(611\) −13.5341 + 24.7703i −0.547532 + 1.00210i
\(612\) 3.39971 + 16.6813i 0.137425 + 0.674303i
\(613\) 21.2198 + 12.2513i 0.857062 + 0.494825i 0.863027 0.505157i \(-0.168566\pi\)
−0.00596561 + 0.999982i \(0.501899\pi\)
\(614\) 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 \(0.466872\pi\)
\(618\) −8.00871 + 9.80555i −0.322158 + 0.394437i
\(619\) −23.5913 + 40.8613i −0.948214 + 1.64235i −0.199028 + 0.979994i \(0.563779\pi\)
−0.749185 + 0.662360i \(0.769555\pi\)
\(620\) 21.5319 + 12.4314i 0.864741 + 0.499259i
\(621\) 0.581822 + 14.6198i 0.0233477 + 0.586673i
\(622\) −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
\(627\) −3.22192 + 19.8044i −0.128671 + 0.790910i
\(628\) −12.5843 + 7.26555i −0.502168 + 0.289927i
\(629\) 1.05364i 0.0420114i
\(630\) 17.5213 + 14.0360i 0.698064 + 0.559206i
\(631\) 6.15939i 0.245201i 0.992456 + 0.122601i \(0.0391234\pi\)
−0.992456 + 0.122601i \(0.960877\pi\)
\(632\) −4.18074 7.24125i −0.166301 0.288042i
\(633\) 2.21170 13.5948i 0.0879070 0.540344i
\(634\) 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
\(639\) −17.5549 5.86719i −0.694460 0.232103i
\(640\) 2.44950 + 1.41422i 0.0968249 + 0.0559019i
\(641\) −22.4818 12.9799i −0.887978 0.512674i −0.0146975 0.999892i \(-0.504679\pi\)
−0.873281 + 0.487218i \(0.838012\pi\)
\(642\) −17.8519 + 21.8572i −0.704559 + 0.862635i
\(643\) −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 0.339430 + 0.940631i \(0.389766\pi\)
−0.984326 + 0.176361i \(0.943567\pi\)
\(648\) −7.19137 5.41149i −0.282504 0.212583i
\(649\) 69.1959 39.9503i 2.71618 1.56819i
\(650\) 9.23778 5.62737i 0.362336 0.220723i
\(651\) 35.0748 + 19.8098i 1.37469 + 0.776407i
\(652\) 1.26347i 0.0494812i
\(653\) 2.21204 1.27712i 0.0865637 0.0499776i −0.456093 0.889932i \(-0.650752\pi\)
0.542657 + 0.839954i \(0.317418\pi\)
\(654\) 2.87565 + 0.467832i 0.112447 + 0.0182937i
\(655\) −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 \(-0.0788693\pi\)
\(660\) 18.4487 22.5878i 0.718114 0.879230i
\(661\) 3.19978 5.54218i 0.124457 0.215566i −0.797064 0.603895i \(-0.793614\pi\)
0.921521 + 0.388330i \(0.126948\pi\)
\(662\) 30.8306 + 17.8001i 1.19827 + 0.691820i
\(663\) 35.1031 + 4.86590i 1.36329 + 0.188976i
\(664\) 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
\(669\) 2.07267 12.7402i 0.0801340 0.492564i
\(670\) 1.49076 + 2.58207i 0.0575930 + 0.0997540i
\(671\) 88.0461i 3.39898i
\(672\) 3.99015 + 2.25359i 0.153924 + 0.0869342i
\(673\) −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
\(675\) 8.32503 + 13.1796i 0.320431 + 0.507283i
\(676\) 7.02253 + 10.9400i 0.270097 + 0.420770i
\(677\) 9.07040 + 15.7104i 0.348604 + 0.603800i 0.986002 0.166735i \(-0.0533225\pi\)
−0.637398 + 0.770535i \(0.719989\pi\)
\(678\) 5.19330 + 13.7005i 0.199448 + 0.526165i
\(679\) −25.0374 + 4.31710i −0.960847 + 0.165675i
\(680\) 16.0507i 0.615515i
\(681\) −3.77059 + 4.61656i −0.144489 + 0.176907i
\(682\) 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 \(0.265800\pi\)
\(684\) −5.53673 1.85049i −0.211702 0.0707552i
\(685\) 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
\(690\) 2.21509 13.6156i 0.0843271 0.518339i
\(691\) −7.72531 13.3806i −0.293885 0.509023i 0.680840 0.732432i \(-0.261615\pi\)
−0.974725 + 0.223409i \(0.928282\pi\)
\(692\) −11.7147 −0.445327
\(693\) 29.5422 36.8778i 1.12221 1.40087i
\(694\) 12.3305i 0.468060i
\(695\) −11.5528 20.0101i −0.438223 0.759025i
\(696\) −0.112589 0.0183168i −0.00426767 0.000694295i
\(697\) −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 \(0.923399\pi\)
\(702\) −15.5998 + 10.3753i −0.588777 + 0.391589i
\(703\) −0.312898 0.180652i −0.0118012 0.00681341i
\(704\) 2.97657 5.15557i 0.112184 0.194308i
\(705\) 29.7040 + 24.2608i 1.11872 + 0.913716i
\(706\) 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 −0.909872 0.414888i \(-0.863821\pi\)
−0.0956324 + 0.995417i \(0.530487\pi\)
\(710\) 15.1129 + 8.72543i 0.567177 + 0.327460i
\(711\) −5.00932 24.5792i −0.187864 0.921791i
\(712\) 4.61927 2.66694i 0.173114 0.0999477i
\(713\) 24.7519i 0.926967i
\(714\) −0.246338 26.0038i −0.00921896 0.973168i
\(715\) −31.5842 51.8480i −1.18118 1.93901i
\(716\) −4.54314 + 2.62298i −0.169785 + 0.0980255i
\(717\) −0.0947636 + 0.582489i −0.00353901 + 0.0217535i
\(718\) 12.8433 22.2452i 0.479306 0.830183i
\(719\) 7.90278 + 13.6880i 0.294724 + 0.510477i 0.974921 0.222553i \(-0.0714390\pi\)
−0.680197 + 0.733030i \(0.738106\pi\)
\(720\) 5.62468 + 6.35322i 0.209619 + 0.236771i
\(721\) 14.8617 12.3748i 0.553478 0.460863i
\(722\) 15.2134 0.566183
\(723\) 5.57517 + 4.55354i 0.207343 + 0.169348i
\(724\) −2.89913 1.67381i −0.107745 0.0622068i
\(725\) 0.171106 + 0.0987883i 0.00635473 + 0.00366891i
\(726\) −32.7855 26.7776i −1.21678 0.993811i
\(727\) 40.5576i 1.50420i 0.659050 + 0.752099i \(0.270959\pi\)
−0.659050 + 0.752099i \(0.729041\pi\)
\(728\) 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
\(732\) −25.2844 4.11344i −0.934537 0.152037i
\(733\) −8.36320 14.4855i −0.308902 0.535033i 0.669221 0.743064i \(-0.266628\pi\)
−0.978122 + 0.208030i \(0.933295\pi\)
\(734\) 15.3965i 0.568294i
\(735\) −22.1921 26.1441i −0.818569 0.964341i
\(736\) 2.81581i 0.103792i
\(737\) 5.43460 3.13767i 0.200186 0.115577i
\(738\) 11.9016 2.42559i 0.438105 0.0892874i
\(739\) 13.4521 + 7.76657i 0.494843 + 0.285698i 0.726582 0.687080i \(-0.241108\pi\)
−0.231738 + 0.972778i \(0.574441\pi\)
\(740\) 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 \(0.437465\pi\)
\(744\) 11.7920 + 9.63114i 0.432315 + 0.353095i
\(745\) 38.0806 + 21.9858i 1.39516 + 0.805499i
\(746\) −14.7842 + 25.6070i −0.541289 + 0.937540i
\(747\) −0.894391 + 2.67605i −0.0327241 + 0.0979117i
\(748\) −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
\(753\) 6.72709 41.3498i 0.245149 1.50687i
\(754\) −0.113855 + 0.208378i −0.00414634 + 0.00758868i
\(755\) −59.3122 −2.15859
\(756\) 9.21009 + 10.2066i 0.334968 + 0.371210i
\(757\) 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
\(759\) −28.6575 4.66221i −1.04020 0.169228i
\(760\) 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
\(765\) 15.2634 45.6688i 0.551851 1.65116i
\(766\) −23.7432 13.7081i −0.857876 0.495295i
\(767\) 48.3788 1.13880i 1.74686 0.0411197i
\(768\) 1.34147 + 1.09565i 0.0484062 + 0.0395359i
\(769\) 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 \(-0.287184\pi\)
−0.369635 + 0.929177i \(0.620517\pi\)
\(774\) −2.08591 10.2349i −0.0749766 0.367887i
\(775\) −13.1857