Properties

Label 546.2.bg.a.311.10
Level $546$
Weight $2$
Character 546.311
Analytic conductor $4.360$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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.a.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} +(-0.0848486 + 3.60455i) 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} +(-4.06316 + 4.74244i) 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} +(3.16406 - 1.72880i) 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} +(10.1952 + 0.239989i) 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} +(6.13865 + 1.14757i) 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} +(-8.87162 - 3.50632i) 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 −0.935022 0.354590i \(-0.884620\pi\)
−0.160427 + 0.987048i \(0.551287\pi\)
\(6\) −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 \(0.521264\pi\)
−0.830718 + 0.556694i \(0.812070\pi\)
\(12\) 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 0.955782 0.294077i \(-0.0950121\pi\)
−0.732569 + 0.680693i \(0.761679\pi\)
\(20\) 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
\(26\) −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 \(0.00194640\pi\)
−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 \(0.456272\pi\)
−0.926338 + 0.376693i \(0.877061\pi\)
\(32\) −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 −0.513159 0.858293i \(-0.671525\pi\)
0.486724 + 0.873556i \(0.338192\pi\)
\(38\) 0.972964 1.68522i 0.157836 0.273379i
\(39\) −4.06316 + 4.74244i −0.650626 + 0.759399i
\(40\) −2.44950 + 1.41422i −0.387300 + 0.223607i
\(41\) 4.04876i 0.632310i −0.948707 0.316155i \(-0.897608\pi\)
0.948707 0.316155i \(-0.102392\pi\)
\(42\) −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 0.0839804 0.996467i \(-0.473237\pi\)
0.904956 + 0.425505i \(0.139903\pi\)
\(48\) −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
\(52\) 3.16406 1.72880i 0.438776 0.239741i
\(53\) 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 \(-0.995067\pi\)
−0.513361 0.858173i \(-0.671600\pi\)
\(60\) −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
\(65\) 10.1952 + 0.239989i 1.26456 + 0.0297669i
\(66\) 1.65572 10.1773i 0.203806 1.25274i
\(67\) −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 \(-0.619311\pi\)
−0.366110 + 0.930572i \(0.619311\pi\)
\(72\) −2.84529 0.950954i −0.335321 0.112071i
\(73\) 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
\(75\) −4.02448 3.28701i −0.464707 0.379551i
\(76\) −1.94593 −0.223213
\(77\) −5.44299 + 14.7802i −0.620287 + 1.68436i
\(78\) 6.13865 + 1.14757i 0.695066 + 0.129937i
\(79\) 4.18074 + 7.24125i 0.470370 + 0.814704i 0.999426 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 \(0.0164377\pi\)
−0.998667 + 0.0516177i \(0.983562\pi\)
\(84\) 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 −0.234784 0.972048i \(-0.575438\pi\)
0.724426 + 0.689353i \(0.242105\pi\)
\(90\) −5.62468 6.35322i −0.592893 0.669689i
\(91\) −8.87162 3.50632i −0.929999 0.367562i
\(92\) 2.81581i 0.293569i
\(93\) 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 \(-0.662096\pi\)
−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 −0.982534 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 0.428610 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 \(0.130257\pi\)
−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
\(117\) 6.97749 + 8.26527i 0.645069 + 0.764124i
\(118\) 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
\(130\) −4.88979 8.94934i −0.428863 0.784909i
\(131\) −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 −0.962170 0.272448i \(-0.912167\pi\)
0.717032 + 0.697040i \(0.245500\pi\)
\(138\) −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
\(143\) 18.8361 10.2918i 1.57515 0.860641i
\(144\) 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 \(-0.946924\pi\)
0.349330 0.937000i \(-0.386409\pi\)
\(150\) −0.834392 + 5.12881i −0.0681278 + 0.418766i
\(151\) 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
\(156\) −2.07550 5.89002i −0.166173 0.471579i
\(157\) 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 −0.456536 0.889705i \(-0.650910\pi\)
0.542239 + 0.840224i \(0.317577\pi\)
\(164\) 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 \(-0.804426\pi\)
0.817111 0.576480i \(-0.195574\pi\)
\(168\) −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 \(0.960295\pi\)
\(182\) 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
\(186\) 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 0.622869 0.782326i \(-0.285967\pi\)
−0.366079 + 0.930584i \(0.619300\pi\)
\(194\) 4.80144 + 8.31634i 0.344724 + 0.597079i
\(195\) 3.24584 17.3628i 0.232440 1.24338i
\(196\) −1.26770 + 6.88425i −0.0905498 + 0.491732i
\(197\) −4.31746 −0.307606 −0.153803 0.988102i \(-0.549152\pi\)
−0.153803 + 0.988102i \(0.549152\pi\)
\(198\) −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
\(208\) −0.0848486 + 3.60455i −0.00588319 + 0.249931i
\(209\) −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
\(221\) 17.9552 9.81048i 1.20780 0.659924i
\(222\) 0.203431 0.249073i 0.0136534 0.0167167i
\(223\) −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 0.595635 0.803255i \(-0.296901\pi\)
−0.397822 + 0.917463i \(0.630234\pi\)
\(228\) −0.541213 + 3.32671i −0.0358427 + 0.220317i
\(229\) 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
\(231\) 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 \(0.189743\pi\)
\(234\) 3.66918 10.1753i 0.239862 0.665181i
\(235\) −11.0714 + 19.1763i −0.722219 + 1.25092i
\(236\) 11.6234 6.71079i 0.756621 0.436835i
\(237\) 13.5422 5.13330i 0.879663 0.333444i
\(238\) 14.7956 2.55116i 0.959059 0.165367i
\(239\) 0.340722 0.0220395 0.0110197 0.999939i \(-0.496492\pi\)
0.0110197 + 0.999939i \(0.496492\pi\)
\(240\) 3.09898 3.79427i 0.200038 0.244919i
\(241\) 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
\(243\) 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
\(247\) 0.165109 7.01420i 0.0105056 0.446303i
\(248\) −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 0.999367 0.0355739i \(-0.0113259\pi\)
−0.530491 + 0.847690i \(0.677993\pi\)
\(272\) 5.67475 0.344082
\(273\) −8.46175 + 14.1915i −0.512128 + 0.858909i
\(274\) 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 \(-0.475355\pi\)
0.0773469 + 0.997004i \(0.475355\pi\)
\(282\) −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 \(0.130796\pi\)
−0.916758 + 0.399443i \(0.869204\pi\)
\(294\) −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
\(299\) −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
\(303\) 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 \(-0.620284\pi\)
−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 −0.996620 0.0821467i \(-0.973822\pi\)
0.569451 + 0.822025i \(0.307156\pi\)
\(312\) −4.06316 + 4.74244i −0.230031 + 0.268488i
\(313\) 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 0.994898 0.100883i \(-0.0321667\pi\)
−0.584816 + 0.811166i \(0.698833\pi\)
\(318\) −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
\(325\) −9.49233 + 5.18647i −0.526540 + 0.287694i
\(326\) −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 \(0.767025\pi\)
−0.950708 + 0.310087i \(0.899642\pi\)
\(332\) −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 \(0.517838\pi\)
\(338\) 7.02253 10.9400i 0.381975 0.595059i
\(339\) 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 \(-0.184018\pi\)
0.837498 + 0.546441i \(0.184018\pi\)
\(350\) −7.82196 + 1.34871i −0.418101 + 0.0720916i
\(351\) 16.0707 9.62976i 0.857791 0.513998i
\(352\) −2.97657 5.15557i −0.158652 0.274793i
\(353\) −3.55499 2.05247i −0.189213 0.109242i 0.402401 0.915463i \(-0.368176\pi\)
−0.591614 + 0.806221i \(0.701509\pi\)
\(354\) 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 \(0.0704178\pi\)
−0.297788 + 0.954632i \(0.596249\pi\)
\(360\) 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
\(364\) 7.47238 5.92989i 0.391659 0.310811i
\(365\) 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 \(0.119470\pi\)
−0.930388 + 0.366576i \(0.880530\pi\)
\(380\) 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 0.249761 0.968308i \(-0.419648\pi\)
0.963459 + 0.267855i \(0.0863148\pi\)
\(384\) −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 \(0.360125\pi\)
\(390\) −16.6595 + 5.87041i −0.843588 + 0.297260i
\(391\) 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 0.942945 0.332949i \(-0.108044\pi\)
−0.759815 + 0.650139i \(0.774710\pi\)
\(398\) 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 \(0.0100277\pi\)
−0.472474 + 0.881345i \(0.656639\pi\)
\(402\) 1.80210 + 0.293179i 0.0898805 + 0.0146224i
\(403\) 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
\(408\) 7.61252 + 6.21755i 0.376876 + 0.307814i
\(409\) 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
\(411\) 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
\(416\) 3.16406 1.72880i 0.155131 0.0847612i
\(417\) −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 \(-0.883079\pi\)
0.933293 0.359115i \(-0.116921\pi\)
\(422\) −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
\(429\) −12.3557 35.0641i −0.596541 1.69291i
\(430\) 8.52859 + 4.92399i 0.411285 + 0.237456i
\(431\) −0.156980 + 0.271898i −0.00756147 + 0.0130968i −0.869781 0.493437i \(-0.835740\pi\)
0.862220 + 0.506534i \(0.169074\pi\)
\(432\) 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 \(-0.360501\pi\)
0.424355 + 0.905496i \(0.360501\pi\)
\(450\) 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
\(455\) 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
\(459\) −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 \(0.207488\pi\)
−0.794968 + 0.606652i \(0.792512\pi\)
\(462\) −0.258423 27.2795i −0.0120229 1.26916i
\(463\) 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
\(465\) −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 \(0.787441\pi\)
\(468\) −10.6467 + 1.91005i −0.492143 + 0.0882922i
\(469\) −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 0.381732 0.924273i \(-0.375328\pi\)
−0.609578 + 0.792726i \(0.708661\pi\)
\(480\) −4.83542 0.786662i −0.220706 0.0359060i
\(481\) 0.669263 + 0.0157540i 0.0305158 + 0.000718319i
\(482\) −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 −0.254864 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 \(-0.944475\pi\)
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
\(494\) −6.15703 + 3.36411i −0.277018 + 0.151358i
\(495\) −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 −0.587914 0.808923i \(-0.700051\pi\)
0.406591 + 0.913610i \(0.366717\pi\)
\(500\) 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
\(507\) 21.4070 6.98148i 0.950717 0.310059i
\(508\) −0.282065 + 0.488551i −0.0125146 + 0.0216759i
\(509\) −24.6547 + 14.2344i −1.09280 + 0.630929i −0.934321 0.356434i \(-0.883993\pi\)
−0.158480 + 0.987362i \(0.550659\pi\)
\(510\) 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
\(520\) 10.1952 + 0.239989i 0.447091 + 0.0105242i
\(521\) −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 −0.287343 0.957828i \(-0.592772\pi\)
0.685832 + 0.727760i \(0.259438\pi\)
\(542\) 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
\(546\) 16.5211 + 0.232336i 0.707037 + 0.00994306i
\(547\) −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 \(-0.617710\pi\)
0.988196 0.153195i \(-0.0489563\pi\)
\(558\) −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 \(0.296978\pi\)
\(572\) −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
\(576\) −2.84529 0.950954i −0.118554 0.0396231i
\(577\) −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
\(579\) 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
\(585\) −28.7802 10.3781i −1.18992 0.429080i
\(586\) 11.8427 6.83736i 0.489215 0.282449i
\(587\) 19.0243i 0.785216i 0.919706 + 0.392608i \(0.128427\pi\)
−0.919706 + 0.392608i \(0.871573\pi\)
\(588\) 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 \(-0.273375\pi\)
0.982312 0.187253i \(-0.0599584\pi\)
\(594\) −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
\(598\) 4.86797 + 8.90940i 0.199066 + 0.364332i
\(599\) −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
\(611\) −28.2188 0.664250i −1.14161 0.0268727i
\(612\) 3.39971 + 16.6813i 0.137425 + 0.674303i
\(613\) −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 \(-0.533128\pi\)
−0.103887 + 0.994589i \(0.533128\pi\)
\(618\) 8.00871 9.80555i 0.322158 0.394437i
\(619\) 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
\(621\) 0.581822 + 14.6198i 0.0233477 + 0.586673i
\(622\) 15.0664 0.604108
\(623\) 10.8448 9.03009i 0.434486 0.361783i
\(624\) 6.13865 + 1.14757i 0.245743 + 0.0459398i
\(625\) 15.5000 + 26.8467i 0.619999 + 1.07387i
\(626\) −10.6006 6.12027i −0.423686 0.244615i
\(627\) −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 \(-0.960877\pi\)
0.992456 0.122601i \(-0.0391234\pi\)
\(632\) 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
\(637\) −24.7071 5.15360i −0.978931 0.204193i
\(638\) 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 \(-0.227172\pi\)
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 \(0.389766\pi\)
−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 −0.921521 0.388330i \(-0.873052\pi\)
0.797064 + 0.603895i \(0.206386\pi\)
\(662\) 30.8306 + 17.8001i 1.19827 + 0.691820i
\(663\) −11.7779 33.4244i −0.457417 1.29809i
\(664\) 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
\(676\) −12.9856 0.611682i −0.499446 0.0235262i
\(677\) 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 −0.671152 0.741319i \(-0.734200\pi\)
0.977578 + 0.210575i \(0.0675337\pi\)
\(684\) 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
\(689\) −7.54440 13.8078i −0.287419 0.526037i
\(690\) 2.21509 13.6156i 0.0843271 0.518339i
\(691\) 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
\(693\) 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 \(0.923399\pi\)
\(702\) −16.3750 9.10277i −0.618033 0.343562i
\(703\) −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 0.0956324 0.995417i \(-0.469513\pi\)
0.909872 + 0.414888i \(0.136179\pi\)
\(710\) −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 \(0.729041\pi\)
\(728\) −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
\(732\) −25.2844 4.11344i −0.934537 0.152037i
\(733\) 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
\(735\) 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 0.231738 0.972778i \(-0.425559\pi\)
−0.726582 + 0.687080i \(0.758892\pi\)
\(740\) 0.262580 + 0.454802i 0.00965264 + 0.0167189i
\(741\) −11.9454 2.23310i −0.438824 0.0820349i
\(742\) −1.96188 11.3781i −0.0720227 0.417702i
\(743\) −10.6415 −0.390398 −0.195199 0.980764i \(-0.562535\pi\)
−0.195199 + 0.980764i \(0.562535\pi\)
\(744\) 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
\(754\) −0.237388 0.00558794i −0.00864516 0.000203501i
\(755\) −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 −0.654254 0.756275i \(-0.727017\pi\)
0.327826 + 0.944738i \(0.393684\pi\)
\(762\) −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
\(767\) 23.2032 + 42.4667i 0.837818 + 1.53338i
\(768\) 1.34147 + 1.09565i 0.0484062 + 0.0395359i
\(769\) −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 0.369635 0.929177i \(-0.379483\pi\)
−0.619873 + 0.784702i \(0.712816\pi\)
\(774\) 2.08591 + 10.2349i 0.0749766 + 0.367887i