Properties

Label 546.2.bu.b.71.7
Level $546$
Weight $2$
Character 546.71
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.7
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.b.323.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(1.59550 + 0.674078i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.28362 - 1.28362i) q^{5} +(-1.71560 - 0.238164i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.09124 + 2.15098i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(1.59550 + 0.674078i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.28362 - 1.28362i) q^{5} +(-1.71560 - 0.238164i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.09124 + 2.15098i) q^{9} +(1.57211 + 0.907660i) q^{10} +(-1.42232 - 5.30817i) q^{11} +(1.71878 - 0.213981i) q^{12} +(3.42359 + 1.13095i) q^{13} -1.00000i q^{14} +(-1.18276 - 2.91329i) q^{15} +(0.500000 - 0.866025i) q^{16} +(3.95532 + 6.85082i) q^{17} +(-2.57669 - 1.53644i) q^{18} +(6.30492 + 1.68940i) q^{19} +(-1.75346 - 0.469839i) q^{20} +(-1.06406 + 1.36667i) q^{21} +(2.74771 + 4.75917i) q^{22} +(2.33954 - 4.05220i) q^{23} +(-1.60483 + 0.651543i) q^{24} -1.70462i q^{25} +(-3.59964 - 0.206327i) q^{26} +(1.88663 + 4.84155i) q^{27} +(0.258819 + 0.965926i) q^{28} +(0.994028 + 0.573902i) q^{29} +(1.89647 + 2.50790i) q^{30} +(2.34297 - 2.34297i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(1.30881 - 9.42794i) q^{33} +(-5.59367 - 5.59367i) q^{34} +(1.57211 - 0.907660i) q^{35} +(2.88656 + 0.817188i) q^{36} +(1.82773 - 0.489737i) q^{37} -6.52733 q^{38} +(4.69998 + 4.11220i) q^{39} +1.81532 q^{40} +(-8.51546 + 2.28171i) q^{41} +(0.674078 - 1.59550i) q^{42} +(-5.49929 + 3.17501i) q^{43} +(-3.88585 - 3.88585i) q^{44} +(0.0766930 - 5.44542i) q^{45} +(-1.21104 + 4.51964i) q^{46} +(7.34551 - 7.34551i) q^{47} +(1.38152 - 1.04470i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(0.441187 + 1.64653i) q^{50} +(1.69272 + 13.5967i) q^{51} +(3.53039 - 0.732359i) q^{52} +2.74622i q^{53} +(-3.07543 - 4.18828i) q^{54} +(-4.98797 + 8.63942i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(8.92071 + 6.94544i) q^{57} +(-1.10869 - 0.297074i) q^{58} +(-5.23839 - 1.40362i) q^{59} +(-2.48094 - 1.93160i) q^{60} +(-3.94096 - 6.82594i) q^{61} +(-1.65673 + 2.86954i) q^{62} +(-2.61894 + 1.46326i) q^{63} -1.00000i q^{64} +(-2.94288 - 5.84632i) q^{65} +(1.17591 + 9.44543i) q^{66} +(2.85542 + 10.6566i) q^{67} +(6.85082 + 3.95532i) q^{68} +(6.46424 - 4.88825i) q^{69} +(-1.28362 + 1.28362i) q^{70} +(-1.69102 + 6.31098i) q^{71} +(-2.99970 - 0.0422477i) q^{72} +(-2.12247 - 2.12247i) q^{73} +(-1.63869 + 0.946100i) q^{74} +(1.14904 - 2.71971i) q^{75} +(6.30492 - 1.68940i) q^{76} +5.49542 q^{77} +(-5.60415 - 2.75564i) q^{78} +0.559199 q^{79} +(-1.75346 + 0.469839i) q^{80} +(-0.253461 + 8.99643i) q^{81} +(7.63476 - 4.40793i) q^{82} +(11.4710 + 11.4710i) q^{83} +(-0.238164 + 1.71560i) q^{84} +(3.71673 - 13.8710i) q^{85} +(4.49015 - 4.49015i) q^{86} +(1.19912 + 1.58571i) q^{87} +(4.75917 + 2.74771i) q^{88} +(-3.08845 - 11.5262i) q^{89} +(1.33530 + 5.27972i) q^{90} +(-1.97851 + 3.01422i) q^{91} -4.67908i q^{92} +(5.31755 - 2.15886i) q^{93} +(-5.19406 + 8.99638i) q^{94} +(-5.92460 - 10.2617i) q^{95} +(-1.06406 + 1.36667i) q^{96} +(-14.0135 - 3.75490i) q^{97} +(0.965926 + 0.258819i) q^{98} +(8.44338 - 14.1600i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) 1.59550 + 0.674078i 0.921162 + 0.389179i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −1.28362 1.28362i −0.574054 0.574054i 0.359204 0.933259i \(-0.383048\pi\)
−0.933259 + 0.359204i \(0.883048\pi\)
\(6\) −1.71560 0.238164i −0.700390 0.0972301i
\(7\) −0.258819 + 0.965926i −0.0978244 + 0.365086i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 2.09124 + 2.15098i 0.697079 + 0.716995i
\(10\) 1.57211 + 0.907660i 0.497146 + 0.287027i
\(11\) −1.42232 5.30817i −0.428846 1.60047i −0.755379 0.655288i \(-0.772547\pi\)
0.326534 0.945186i \(-0.394119\pi\)
\(12\) 1.71878 0.213981i 0.496170 0.0617709i
\(13\) 3.42359 + 1.13095i 0.949532 + 0.313670i
\(14\) 1.00000i 0.267261i
\(15\) −1.18276 2.91329i −0.305387 0.752207i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 3.95532 + 6.85082i 0.959306 + 1.66157i 0.724190 + 0.689600i \(0.242214\pi\)
0.235116 + 0.971967i \(0.424453\pi\)
\(18\) −2.57669 1.53644i −0.607333 0.362142i
\(19\) 6.30492 + 1.68940i 1.44645 + 0.387574i 0.894787 0.446494i \(-0.147328\pi\)
0.551661 + 0.834068i \(0.313994\pi\)
\(20\) −1.75346 0.469839i −0.392086 0.105059i
\(21\) −1.06406 + 1.36667i −0.232196 + 0.298232i
\(22\) 2.74771 + 4.75917i 0.585814 + 1.01466i
\(23\) 2.33954 4.05220i 0.487828 0.844943i −0.512074 0.858941i \(-0.671123\pi\)
0.999902 + 0.0139986i \(0.00445604\pi\)
\(24\) −1.60483 + 0.651543i −0.327585 + 0.132996i
\(25\) 1.70462i 0.340923i
\(26\) −3.59964 0.206327i −0.705948 0.0404641i
\(27\) 1.88663 + 4.84155i 0.363083 + 0.931757i
\(28\) 0.258819 + 0.965926i 0.0489122 + 0.182543i
\(29\) 0.994028 + 0.573902i 0.184586 + 0.106571i 0.589446 0.807808i \(-0.299346\pi\)
−0.404859 + 0.914379i \(0.632680\pi\)
\(30\) 1.89647 + 2.50790i 0.346247 + 0.457877i
\(31\) 2.34297 2.34297i 0.420809 0.420809i −0.464673 0.885482i \(-0.653828\pi\)
0.885482 + 0.464673i \(0.153828\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) 1.30881 9.42794i 0.227835 1.64119i
\(34\) −5.59367 5.59367i −0.959306 0.959306i
\(35\) 1.57211 0.907660i 0.265736 0.153423i
\(36\) 2.88656 + 0.817188i 0.481093 + 0.136198i
\(37\) 1.82773 0.489737i 0.300476 0.0805123i −0.105431 0.994427i \(-0.533622\pi\)
0.405907 + 0.913914i \(0.366956\pi\)
\(38\) −6.52733 −1.05887
\(39\) 4.69998 + 4.11220i 0.752599 + 0.658479i
\(40\) 1.81532 0.287027
\(41\) −8.51546 + 2.28171i −1.32989 + 0.356344i −0.852675 0.522442i \(-0.825021\pi\)
−0.477217 + 0.878785i \(0.658355\pi\)
\(42\) 0.674078 1.59550i 0.104013 0.246191i
\(43\) −5.49929 + 3.17501i −0.838633 + 0.484185i −0.856799 0.515650i \(-0.827551\pi\)
0.0181660 + 0.999835i \(0.494217\pi\)
\(44\) −3.88585 3.88585i −0.585814 0.585814i
\(45\) 0.0766930 5.44542i 0.0114327 0.811755i
\(46\) −1.21104 + 4.51964i −0.178557 + 0.666385i
\(47\) 7.34551 7.34551i 1.07145 1.07145i 0.0742109 0.997243i \(-0.476356\pi\)
0.997243 0.0742109i \(-0.0236438\pi\)
\(48\) 1.38152 1.04470i 0.199405 0.150790i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) 0.441187 + 1.64653i 0.0623932 + 0.232855i
\(51\) 1.69272 + 13.5967i 0.237029 + 1.90392i
\(52\) 3.53039 0.732359i 0.489577 0.101560i
\(53\) 2.74622i 0.377223i 0.982052 + 0.188611i \(0.0603987\pi\)
−0.982052 + 0.188611i \(0.939601\pi\)
\(54\) −3.07543 4.18828i −0.418514 0.569953i
\(55\) −4.98797 + 8.63942i −0.672578 + 1.16494i
\(56\) −0.500000 0.866025i −0.0668153 0.115728i
\(57\) 8.92071 + 6.94544i 1.18158 + 0.919947i
\(58\) −1.10869 0.297074i −0.145579 0.0390077i
\(59\) −5.23839 1.40362i −0.681980 0.182736i −0.0988349 0.995104i \(-0.531512\pi\)
−0.583145 + 0.812368i \(0.698178\pi\)
\(60\) −2.48094 1.93160i −0.320288 0.249369i
\(61\) −3.94096 6.82594i −0.504588 0.873972i −0.999986 0.00530588i \(-0.998311\pi\)
0.495398 0.868666i \(-0.335022\pi\)
\(62\) −1.65673 + 2.86954i −0.210405 + 0.364432i
\(63\) −2.61894 + 1.46326i −0.329956 + 0.184354i
\(64\) 1.00000i 0.125000i
\(65\) −2.94288 5.84632i −0.365020 0.725147i
\(66\) 1.17591 + 9.44543i 0.144745 + 1.16265i
\(67\) 2.85542 + 10.6566i 0.348845 + 1.30191i 0.888056 + 0.459735i \(0.152056\pi\)
−0.539211 + 0.842170i \(0.681278\pi\)
\(68\) 6.85082 + 3.95532i 0.830784 + 0.479653i
\(69\) 6.46424 4.88825i 0.778203 0.588476i
\(70\) −1.28362 + 1.28362i −0.153423 + 0.153423i
\(71\) −1.69102 + 6.31098i −0.200687 + 0.748976i 0.790034 + 0.613064i \(0.210063\pi\)
−0.990721 + 0.135912i \(0.956604\pi\)
\(72\) −2.99970 0.0422477i −0.353518 0.00497894i
\(73\) −2.12247 2.12247i −0.248417 0.248417i 0.571904 0.820321i \(-0.306205\pi\)
−0.820321 + 0.571904i \(0.806205\pi\)
\(74\) −1.63869 + 0.946100i −0.190494 + 0.109982i
\(75\) 1.14904 2.71971i 0.132680 0.314045i
\(76\) 6.30492 1.68940i 0.723224 0.193787i
\(77\) 5.49542 0.626261
\(78\) −5.60415 2.75564i −0.634545 0.312014i
\(79\) 0.559199 0.0629148 0.0314574 0.999505i \(-0.489985\pi\)
0.0314574 + 0.999505i \(0.489985\pi\)
\(80\) −1.75346 + 0.469839i −0.196043 + 0.0525296i
\(81\) −0.253461 + 8.99643i −0.0281623 + 0.999603i
\(82\) 7.63476 4.40793i 0.843118 0.486774i
\(83\) 11.4710 + 11.4710i 1.25910 + 1.25910i 0.951522 + 0.307581i \(0.0995194\pi\)
0.307581 + 0.951522i \(0.400481\pi\)
\(84\) −0.238164 + 1.71560i −0.0259858 + 0.187187i
\(85\) 3.71673 13.8710i 0.403136 1.50452i
\(86\) 4.49015 4.49015i 0.484185 0.484185i
\(87\) 1.19912 + 1.58571i 0.128559 + 0.170006i
\(88\) 4.75917 + 2.74771i 0.507330 + 0.292907i
\(89\) −3.08845 11.5262i −0.327375 1.22178i −0.911903 0.410406i \(-0.865387\pi\)
0.584528 0.811373i \(-0.301280\pi\)
\(90\) 1.33530 + 5.27972i 0.140753 + 0.556531i
\(91\) −1.97851 + 3.01422i −0.207404 + 0.315976i
\(92\) 4.67908i 0.487828i
\(93\) 5.31755 2.15886i 0.551404 0.223863i
\(94\) −5.19406 + 8.99638i −0.535727 + 0.927906i
\(95\) −5.92460 10.2617i −0.607851 1.05283i
\(96\) −1.06406 + 1.36667i −0.108600 + 0.139485i
\(97\) −14.0135 3.75490i −1.42285 0.381252i −0.536357 0.843991i \(-0.680200\pi\)
−0.886495 + 0.462739i \(0.846867\pi\)
\(98\) 0.965926 + 0.258819i 0.0975732 + 0.0261447i
\(99\) 8.44338 14.1600i 0.848591 1.42314i
\(100\) −0.852308 1.47624i −0.0852308 0.147624i
\(101\) 1.37630 2.38382i 0.136947 0.237199i −0.789393 0.613889i \(-0.789604\pi\)
0.926339 + 0.376690i \(0.122938\pi\)
\(102\) −5.15412 12.6953i −0.510334 1.25702i
\(103\) 10.1741i 1.00248i −0.865308 0.501240i \(-0.832877\pi\)
0.865308 0.501240i \(-0.167123\pi\)
\(104\) −3.22055 + 1.62114i −0.315801 + 0.158966i
\(105\) 3.12014 0.388443i 0.304494 0.0379082i
\(106\) −0.710775 2.65265i −0.0690366 0.257648i
\(107\) −0.617420 0.356467i −0.0596882 0.0344610i 0.469859 0.882742i \(-0.344305\pi\)
−0.529547 + 0.848281i \(0.677638\pi\)
\(108\) 4.05465 + 3.24959i 0.390159 + 0.312692i
\(109\) −4.09901 + 4.09901i −0.392614 + 0.392614i −0.875618 0.483004i \(-0.839546\pi\)
0.483004 + 0.875618i \(0.339546\pi\)
\(110\) 2.58196 9.63602i 0.246181 0.918759i
\(111\) 3.24626 + 0.450654i 0.308121 + 0.0427742i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) 1.29822 0.749527i 0.122126 0.0705096i −0.437692 0.899125i \(-0.644204\pi\)
0.559819 + 0.828615i \(0.310871\pi\)
\(114\) −10.4144 4.39993i −0.975394 0.412092i
\(115\) −8.20460 + 2.19842i −0.765083 + 0.205003i
\(116\) 1.14780 0.106571
\(117\) 4.72687 + 9.72917i 0.436999 + 0.899462i
\(118\) 5.42318 0.499244
\(119\) −7.64110 + 2.04743i −0.700458 + 0.187687i
\(120\) 2.89634 + 1.22367i 0.264399 + 0.111705i
\(121\) −16.6274 + 9.59983i −1.51158 + 0.872712i
\(122\) 5.57336 + 5.57336i 0.504588 + 0.504588i
\(123\) −15.1245 2.09962i −1.36373 0.189317i
\(124\) 0.857586 3.20055i 0.0770135 0.287418i
\(125\) −8.60621 + 8.60621i −0.769763 + 0.769763i
\(126\) 2.15098 2.09124i 0.191625 0.186302i
\(127\) −11.3687 6.56372i −1.00881 0.582436i −0.0979665 0.995190i \(-0.531234\pi\)
−0.910843 + 0.412753i \(0.864567\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) −10.9143 + 1.35878i −0.960952 + 0.119634i
\(130\) 4.35574 + 4.88544i 0.382024 + 0.428481i
\(131\) 13.3313i 1.16476i 0.812918 + 0.582379i \(0.197878\pi\)
−0.812918 + 0.582379i \(0.802122\pi\)
\(132\) −3.58050 8.81924i −0.311643 0.767616i
\(133\) −3.26367 + 5.65284i −0.282996 + 0.490163i
\(134\) −5.51624 9.55441i −0.476531 0.825375i
\(135\) 3.79300 8.63646i 0.326450 0.743309i
\(136\) −7.64110 2.04743i −0.655219 0.175565i
\(137\) −11.0797 2.96881i −0.946606 0.253642i −0.247684 0.968841i \(-0.579670\pi\)
−0.698921 + 0.715199i \(0.746336\pi\)
\(138\) −4.97880 + 6.39476i −0.423824 + 0.544358i
\(139\) −0.539791 0.934945i −0.0457845 0.0793010i 0.842225 0.539126i \(-0.181245\pi\)
−0.888009 + 0.459825i \(0.847912\pi\)
\(140\) 0.907660 1.57211i 0.0767113 0.132868i
\(141\) 16.6712 6.76831i 1.40397 0.569995i
\(142\) 6.53361i 0.548288i
\(143\) 1.13386 19.7816i 0.0948177 1.65422i
\(144\) 2.90842 0.735572i 0.242369 0.0612977i
\(145\) −0.539284 2.01263i −0.0447851 0.167140i
\(146\) 2.59949 + 1.50082i 0.215135 + 0.124208i
\(147\) −1.04470 1.38152i −0.0861657 0.113946i
\(148\) 1.33799 1.33799i 0.109982 0.109982i
\(149\) 0.123454 0.460735i 0.0101137 0.0377449i −0.960685 0.277642i \(-0.910447\pi\)
0.970798 + 0.239897i \(0.0771137\pi\)
\(150\) −0.405978 + 2.92443i −0.0331480 + 0.238779i
\(151\) −5.38963 5.38963i −0.438602 0.438602i 0.452940 0.891541i \(-0.350375\pi\)
−0.891541 + 0.452940i \(0.850375\pi\)
\(152\) −5.65284 + 3.26367i −0.458506 + 0.264718i
\(153\) −6.46449 + 22.8345i −0.522623 + 1.84606i
\(154\) −5.30817 + 1.42232i −0.427744 + 0.114614i
\(155\) −6.01498 −0.483135
\(156\) 6.12640 + 1.21128i 0.490505 + 0.0969801i
\(157\) −20.7030 −1.65228 −0.826141 0.563463i \(-0.809469\pi\)
−0.826141 + 0.563463i \(0.809469\pi\)
\(158\) −0.540145 + 0.144731i −0.0429716 + 0.0115142i
\(159\) −1.85117 + 4.38160i −0.146807 + 0.347483i
\(160\) 1.57211 0.907660i 0.124286 0.0717568i
\(161\) 3.30861 + 3.30861i 0.260755 + 0.260755i
\(162\) −2.08362 8.75548i −0.163705 0.687896i
\(163\) −0.126397 + 0.471720i −0.00990018 + 0.0369480i −0.970699 0.240298i \(-0.922755\pi\)
0.960799 + 0.277246i \(0.0894216\pi\)
\(164\) −6.23375 + 6.23375i −0.486774 + 0.486774i
\(165\) −13.7820 + 10.4219i −1.07292 + 0.811344i
\(166\) −14.0490 8.11120i −1.09041 0.629551i
\(167\) −3.46756 12.9411i −0.268328 1.00141i −0.960182 0.279376i \(-0.909872\pi\)
0.691854 0.722038i \(-0.256794\pi\)
\(168\) −0.213981 1.71878i −0.0165090 0.132607i
\(169\) 10.4419 + 7.74383i 0.803222 + 0.595679i
\(170\) 14.3603i 1.10139i
\(171\) 9.55121 + 17.0947i 0.730399 + 1.30727i
\(172\) −3.17501 + 5.49929i −0.242093 + 0.419317i
\(173\) 5.40274 + 9.35783i 0.410763 + 0.711463i 0.994973 0.100140i \(-0.0319290\pi\)
−0.584210 + 0.811602i \(0.698596\pi\)
\(174\) −1.56867 1.22133i −0.118921 0.0925886i
\(175\) 1.64653 + 0.441187i 0.124466 + 0.0333506i
\(176\) −5.30817 1.42232i −0.400118 0.107211i
\(177\) −7.41170 5.77057i −0.557097 0.433742i
\(178\) 5.96642 + 10.3341i 0.447202 + 0.774577i
\(179\) −3.47073 + 6.01149i −0.259415 + 0.449320i −0.966085 0.258223i \(-0.916863\pi\)
0.706670 + 0.707543i \(0.250196\pi\)
\(180\) −2.65629 4.75422i −0.197988 0.354358i
\(181\) 17.0010i 1.26368i −0.775100 0.631839i \(-0.782301\pi\)
0.775100 0.631839i \(-0.217699\pi\)
\(182\) 1.13095 3.42359i 0.0838318 0.253773i
\(183\) −1.68658 13.5473i −0.124675 1.00145i
\(184\) 1.21104 + 4.51964i 0.0892787 + 0.333193i
\(185\) −2.97475 1.71747i −0.218708 0.126271i
\(186\) −4.57760 + 3.46158i −0.335646 + 0.253815i
\(187\) 30.7396 30.7396i 2.24790 2.24790i
\(188\) 2.68865 10.0342i 0.196090 0.731816i
\(189\) −5.16488 + 0.569264i −0.375689 + 0.0414078i
\(190\) 8.37865 + 8.37865i 0.607851 + 0.607851i
\(191\) 2.01605 1.16397i 0.145876 0.0842218i −0.425285 0.905059i \(-0.639826\pi\)
0.571162 + 0.820838i \(0.306493\pi\)
\(192\) 0.674078 1.59550i 0.0486474 0.115145i
\(193\) 7.80356 2.09096i 0.561713 0.150510i 0.0332195 0.999448i \(-0.489424\pi\)
0.528493 + 0.848938i \(0.322757\pi\)
\(194\) 14.5078 1.04160
\(195\) −0.754487 11.3115i −0.0540299 0.810036i
\(196\) −1.00000 −0.0714286
\(197\) −25.5999 + 6.85947i −1.82392 + 0.488717i −0.997259 0.0739889i \(-0.976427\pi\)
−0.826657 + 0.562706i \(0.809760\pi\)
\(198\) −4.49079 + 15.8628i −0.319147 + 1.12732i
\(199\) 17.8064 10.2805i 1.26226 0.728766i 0.288748 0.957405i \(-0.406761\pi\)
0.973511 + 0.228639i \(0.0734276\pi\)
\(200\) 1.20534 + 1.20534i 0.0852308 + 0.0852308i
\(201\) −2.62754 + 18.9273i −0.185333 + 1.33503i
\(202\) −0.712424 + 2.65880i −0.0501260 + 0.187073i
\(203\) −0.811620 + 0.811620i −0.0569646 + 0.0569646i
\(204\) 8.26428 + 10.9287i 0.578615 + 0.765162i
\(205\) 13.8595 + 8.00180i 0.967991 + 0.558870i
\(206\) 2.63324 + 9.82739i 0.183467 + 0.684707i
\(207\) 13.6088 3.44180i 0.945874 0.239222i
\(208\) 2.69123 2.39944i 0.186603 0.166371i
\(209\) 35.8704i 2.48121i
\(210\) −2.91329 + 1.18276i −0.201036 + 0.0816181i
\(211\) 7.94596 13.7628i 0.547022 0.947470i −0.451454 0.892294i \(-0.649095\pi\)
0.998477 0.0551761i \(-0.0175720\pi\)
\(212\) 1.37311 + 2.37830i 0.0943057 + 0.163342i
\(213\) −6.95212 + 8.92928i −0.476352 + 0.611824i
\(214\) 0.688642 + 0.184521i 0.0470746 + 0.0126136i
\(215\) 11.1345 + 2.98349i 0.759370 + 0.203473i
\(216\) −4.75755 2.08944i −0.323710 0.142168i
\(217\) 1.65673 + 2.86954i 0.112466 + 0.194797i
\(218\) 2.89844 5.02024i 0.196307 0.340013i
\(219\) −1.95569 4.81712i −0.132153 0.325511i
\(220\) 9.97595i 0.672578i
\(221\) 5.79343 + 27.9277i 0.389709 + 1.87862i
\(222\) −3.25228 + 0.404894i −0.218279 + 0.0271747i
\(223\) 1.56411 + 5.83734i 0.104741 + 0.390897i 0.998316 0.0580168i \(-0.0184777\pi\)
−0.893575 + 0.448914i \(0.851811\pi\)
\(224\) −0.866025 0.500000i −0.0578638 0.0334077i
\(225\) 3.66660 3.56475i 0.244440 0.237650i
\(226\) −1.05999 + 1.05999i −0.0705096 + 0.0705096i
\(227\) 2.19126 8.17790i 0.145439 0.542786i −0.854296 0.519786i \(-0.826012\pi\)
0.999735 0.0229998i \(-0.00732172\pi\)
\(228\) 11.1983 + 1.55458i 0.741624 + 0.102954i
\(229\) 0.488308 + 0.488308i 0.0322683 + 0.0322683i 0.723057 0.690789i \(-0.242736\pi\)
−0.690789 + 0.723057i \(0.742736\pi\)
\(230\) 7.35604 4.24701i 0.485043 0.280040i
\(231\) 8.76794 + 3.70435i 0.576888 + 0.243728i
\(232\) −1.10869 + 0.297074i −0.0727893 + 0.0195038i
\(233\) −6.34880 −0.415924 −0.207962 0.978137i \(-0.566683\pi\)
−0.207962 + 0.978137i \(0.566683\pi\)
\(234\) −7.08390 8.17425i −0.463089 0.534368i
\(235\) −18.8578 −1.23015
\(236\) −5.23839 + 1.40362i −0.340990 + 0.0913681i
\(237\) 0.892201 + 0.376944i 0.0579547 + 0.0244851i
\(238\) 6.85082 3.95532i 0.444073 0.256385i
\(239\) 8.03317 + 8.03317i 0.519623 + 0.519623i 0.917457 0.397834i \(-0.130238\pi\)
−0.397834 + 0.917457i \(0.630238\pi\)
\(240\) −3.11436 0.432344i −0.201031 0.0279077i
\(241\) −2.44488 + 9.12442i −0.157489 + 0.587755i 0.841391 + 0.540427i \(0.181737\pi\)
−0.998879 + 0.0473283i \(0.984929\pi\)
\(242\) 13.5762 13.5762i 0.872712 0.872712i
\(243\) −6.46870 + 14.1829i −0.414967 + 0.909836i
\(244\) −6.82594 3.94096i −0.436986 0.252294i
\(245\) 0.469839 + 1.75346i 0.0300169 + 0.112025i
\(246\) 15.1525 1.88642i 0.966091 0.120274i
\(247\) 19.6748 + 12.9144i 1.25188 + 0.821722i
\(248\) 3.31346i 0.210405i
\(249\) 10.5696 + 26.0343i 0.669821 + 1.64985i
\(250\) 6.08551 10.5404i 0.384881 0.666634i
\(251\) 10.5065 + 18.1978i 0.663166 + 1.14864i 0.979779 + 0.200083i \(0.0641210\pi\)
−0.316613 + 0.948555i \(0.602546\pi\)
\(252\) −1.53644 + 2.57669i −0.0967865 + 0.162317i
\(253\) −24.8374 6.65515i −1.56151 0.418406i
\(254\) 12.6801 + 3.39763i 0.795623 + 0.213186i
\(255\) 15.2802 19.6258i 0.956884 1.22902i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 5.08238 8.80295i 0.317030 0.549113i −0.662837 0.748764i \(-0.730648\pi\)
0.979867 + 0.199651i \(0.0639810\pi\)
\(258\) 10.1907 4.13732i 0.634448 0.257578i
\(259\) 1.89220i 0.117576i
\(260\) −5.47177 3.59162i −0.339345 0.222743i
\(261\) 0.844293 + 3.33830i 0.0522604 + 0.206636i
\(262\) −3.45038 12.8770i −0.213165 0.795544i
\(263\) 15.6905 + 9.05891i 0.967517 + 0.558596i 0.898478 0.439018i \(-0.144673\pi\)
0.0690387 + 0.997614i \(0.478007\pi\)
\(264\) 5.74109 + 7.59203i 0.353339 + 0.467257i
\(265\) 3.52512 3.52512i 0.216547 0.216547i
\(266\) 1.68940 6.30492i 0.103584 0.386579i
\(267\) 2.84198 20.4720i 0.173926 1.25286i
\(268\) 7.80114 + 7.80114i 0.476531 + 0.476531i
\(269\) 4.00185 2.31047i 0.243997 0.140872i −0.373015 0.927825i \(-0.621676\pi\)
0.617012 + 0.786953i \(0.288343\pi\)
\(270\) −1.42848 + 9.32389i −0.0869344 + 0.567434i
\(271\) −27.2449 + 7.30024i −1.65501 + 0.443458i −0.961009 0.276517i \(-0.910820\pi\)
−0.694000 + 0.719975i \(0.744153\pi\)
\(272\) 7.91064 0.479653
\(273\) −5.18853 + 3.47552i −0.314024 + 0.210348i
\(274\) 11.4706 0.692963
\(275\) −9.04839 + 2.42451i −0.545638 + 0.146203i
\(276\) 3.15407 7.46547i 0.189853 0.449368i
\(277\) 17.1296 9.88980i 1.02922 0.594220i 0.112459 0.993656i \(-0.464127\pi\)
0.916761 + 0.399436i \(0.130794\pi\)
\(278\) 0.763379 + 0.763379i 0.0457845 + 0.0457845i
\(279\) 9.93939 + 0.139986i 0.595055 + 0.00838073i
\(280\) −0.469839 + 1.75346i −0.0280783 + 0.104790i
\(281\) −7.06261 + 7.06261i −0.421320 + 0.421320i −0.885658 0.464338i \(-0.846292\pi\)
0.464338 + 0.885658i \(0.346292\pi\)
\(282\) −14.3514 + 10.8525i −0.854613 + 0.646258i
\(283\) −2.74658 1.58574i −0.163267 0.0942624i 0.416140 0.909301i \(-0.363383\pi\)
−0.579407 + 0.815038i \(0.696716\pi\)
\(284\) 1.69102 + 6.31098i 0.100344 + 0.374488i
\(285\) −2.53550 20.3662i −0.150190 1.20639i
\(286\) 4.02462 + 19.4010i 0.237981 + 1.14720i
\(287\) 8.81586i 0.520384i
\(288\) −2.61894 + 1.46326i −0.154323 + 0.0862236i
\(289\) −22.7891 + 39.4720i −1.34054 + 2.32188i
\(290\) 1.04182 + 1.80448i 0.0611775 + 0.105963i
\(291\) −19.8274 15.4371i −1.16230 0.904940i
\(292\) −2.89935 0.776879i −0.169672 0.0454634i
\(293\) 10.4220 + 2.79256i 0.608857 + 0.163143i 0.550057 0.835127i \(-0.314606\pi\)
0.0588001 + 0.998270i \(0.481273\pi\)
\(294\) 1.36667 + 1.06406i 0.0797058 + 0.0620570i
\(295\) 4.92240 + 8.52585i 0.286593 + 0.496394i
\(296\) −0.946100 + 1.63869i −0.0549910 + 0.0952471i
\(297\) 23.0164 16.9008i 1.33555 0.980684i
\(298\) 0.476988i 0.0276312i
\(299\) 12.5925 11.2272i 0.728241 0.649283i
\(300\) −0.364755 2.92986i −0.0210591 0.169156i
\(301\) −1.64351 6.13366i −0.0947303 0.353538i
\(302\) 6.60092 + 3.81104i 0.379840 + 0.219301i
\(303\) 3.80276 2.87565i 0.218463 0.165202i
\(304\) 4.61552 4.61552i 0.264718 0.264718i
\(305\) −3.70323 + 13.8207i −0.212047 + 0.791369i
\(306\) 0.334206 23.7296i 0.0191053 1.35653i
\(307\) 16.8884 + 16.8884i 0.963874 + 0.963874i 0.999370 0.0354960i \(-0.0113011\pi\)
−0.0354960 + 0.999370i \(0.511301\pi\)
\(308\) 4.75917 2.74771i 0.271179 0.156565i
\(309\) 6.85812 16.2327i 0.390145 0.923447i
\(310\) 5.81003 1.55679i 0.329987 0.0884199i
\(311\) −21.3065 −1.20818 −0.604091 0.796916i \(-0.706464\pi\)
−0.604091 + 0.796916i \(0.706464\pi\)
\(312\) −6.23115 + 0.415622i −0.352770 + 0.0235300i
\(313\) 22.5085 1.27225 0.636127 0.771585i \(-0.280536\pi\)
0.636127 + 0.771585i \(0.280536\pi\)
\(314\) 19.9976 5.35834i 1.12853 0.302389i
\(315\) 5.24002 + 1.48346i 0.295242 + 0.0835834i
\(316\) 0.484280 0.279599i 0.0272429 0.0157287i
\(317\) 1.45164 + 1.45164i 0.0815321 + 0.0815321i 0.746697 0.665165i \(-0.231639\pi\)
−0.665165 + 0.746697i \(0.731639\pi\)
\(318\) 0.654052 4.71142i 0.0366774 0.264203i
\(319\) 1.63255 6.09274i 0.0914050 0.341128i
\(320\) −1.28362 + 1.28362i −0.0717568 + 0.0717568i
\(321\) −0.744806 0.984933i −0.0415710 0.0549736i
\(322\) −4.05220 2.33954i −0.225820 0.130377i
\(323\) 13.3642 + 49.8760i 0.743605 + 2.77517i
\(324\) 4.27871 + 7.91787i 0.237706 + 0.439882i
\(325\) 1.92784 5.83590i 0.106937 0.323717i
\(326\) 0.488361i 0.0270478i
\(327\) −9.30302 + 3.77691i −0.514458 + 0.208864i
\(328\) 4.40793 7.63476i 0.243387 0.421559i
\(329\) 5.19406 + 8.99638i 0.286358 + 0.495987i
\(330\) 10.6150 13.6338i 0.584334 0.750517i
\(331\) −25.6244 6.86603i −1.40844 0.377391i −0.527074 0.849819i \(-0.676711\pi\)
−0.881369 + 0.472428i \(0.843378\pi\)
\(332\) 15.6696 + 4.19867i 0.859983 + 0.230432i
\(333\) 4.87562 + 2.90725i 0.267182 + 0.159316i
\(334\) 6.69882 + 11.6027i 0.366543 + 0.634871i
\(335\) 10.0137 17.3443i 0.547109 0.947621i
\(336\) 0.651543 + 1.60483i 0.0355446 + 0.0875509i
\(337\) 4.31242i 0.234913i 0.993078 + 0.117456i \(0.0374740\pi\)
−0.993078 + 0.117456i \(0.962526\pi\)
\(338\) −12.0903 4.77741i −0.657628 0.259857i
\(339\) 2.57655 0.320768i 0.139939 0.0174218i
\(340\) −3.71673 13.8710i −0.201568 0.752262i
\(341\) −15.7693 9.10442i −0.853957 0.493032i
\(342\) −13.6502 14.0402i −0.738118 0.759206i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) 1.64351 6.13366i 0.0886120 0.330705i
\(345\) −14.5723 2.02297i −0.784548 0.108913i
\(346\) −7.64063 7.64063i −0.410763 0.410763i
\(347\) −7.32984 + 4.23188i −0.393486 + 0.227179i −0.683670 0.729792i \(-0.739617\pi\)
0.290183 + 0.956971i \(0.406284\pi\)
\(348\) 1.83132 + 0.773710i 0.0981691 + 0.0414752i
\(349\) −29.8009 + 7.98514i −1.59521 + 0.427435i −0.943591 0.331113i \(-0.892576\pi\)
−0.651617 + 0.758548i \(0.725909\pi\)
\(350\) −1.70462 −0.0911155
\(351\) 0.983491 + 18.7092i 0.0524949 + 0.998621i
\(352\) 5.49542 0.292907
\(353\) −11.6530 + 3.12242i −0.620228 + 0.166190i −0.555231 0.831696i \(-0.687370\pi\)
−0.0649966 + 0.997885i \(0.520704\pi\)
\(354\) 8.65268 + 3.65565i 0.459885 + 0.194296i
\(355\) 10.2716 5.93029i 0.545158 0.314747i
\(356\) −8.43780 8.43780i −0.447202 0.447202i
\(357\) −13.5715 1.88403i −0.718279 0.0997136i
\(358\) 1.79658 6.70494i 0.0949524 0.354367i
\(359\) 15.3078 15.3078i 0.807913 0.807913i −0.176405 0.984318i \(-0.556447\pi\)
0.984318 + 0.176405i \(0.0564467\pi\)
\(360\) 3.79626 + 3.90472i 0.200081 + 0.205797i
\(361\) 20.4435 + 11.8030i 1.07597 + 0.621212i
\(362\) 4.40019 + 16.4217i 0.231269 + 0.863108i
\(363\) −33.0000 + 4.10835i −1.73205 + 0.215633i
\(364\) −0.206327 + 3.59964i −0.0108145 + 0.188673i
\(365\) 5.44892i 0.285209i
\(366\) 5.13541 + 12.6492i 0.268432 + 0.661183i
\(367\) −3.09102 + 5.35380i −0.161350 + 0.279466i −0.935353 0.353716i \(-0.884918\pi\)
0.774003 + 0.633182i \(0.218251\pi\)
\(368\) −2.33954 4.05220i −0.121957 0.211236i
\(369\) −22.7158 13.5450i −1.18254 0.705126i
\(370\) 3.31791 + 0.889030i 0.172490 + 0.0462185i
\(371\) −2.65265 0.710775i −0.137719 0.0369016i
\(372\) 3.52570 4.52840i 0.182799 0.234787i
\(373\) −6.91676 11.9802i −0.358136 0.620310i 0.629513 0.776990i \(-0.283254\pi\)
−0.987649 + 0.156680i \(0.949921\pi\)
\(374\) −21.7362 + 37.6481i −1.12395 + 1.94674i
\(375\) −19.5325 + 7.92994i −1.00865 + 0.409500i
\(376\) 10.3881i 0.535727i
\(377\) 2.75408 + 3.08900i 0.141843 + 0.159092i
\(378\) 4.84155 1.88663i 0.249022 0.0970380i
\(379\) 4.41950 + 16.4938i 0.227015 + 0.847230i 0.981587 + 0.191014i \(0.0611775\pi\)
−0.754573 + 0.656216i \(0.772156\pi\)
\(380\) −10.2617 5.92460i −0.526414 0.303925i
\(381\) −13.7143 18.1358i −0.702605 0.929126i
\(382\) −1.64610 + 1.64610i −0.0842218 + 0.0842218i
\(383\) −1.98302 + 7.40072i −0.101327 + 0.378159i −0.997903 0.0647325i \(-0.979381\pi\)
0.896575 + 0.442891i \(0.146047\pi\)
\(384\) −0.238164 + 1.71560i −0.0121538 + 0.0875488i
\(385\) −7.05406 7.05406i −0.359508 0.359508i
\(386\) −6.99648 + 4.03942i −0.356111 + 0.205601i
\(387\) −18.3297 5.18917i −0.931752 0.263780i
\(388\) −14.0135 + 3.75490i −0.711426 + 0.190626i
\(389\) −15.2721 −0.774324 −0.387162 0.922012i \(-0.626545\pi\)
−0.387162 + 0.922012i \(0.626545\pi\)
\(390\) 3.65642 + 10.7308i 0.185150 + 0.543376i
\(391\) 37.0145 1.87191
\(392\) 0.965926 0.258819i 0.0487866 0.0130723i
\(393\) −8.98631 + 21.2700i −0.453299 + 1.07293i
\(394\) 22.9522 13.2515i 1.15632 0.667600i
\(395\) −0.717801 0.717801i −0.0361165 0.0361165i
\(396\) 0.232169 16.4846i 0.0116669 0.828384i
\(397\) 0.0947550 0.353630i 0.00475561 0.0177482i −0.963507 0.267682i \(-0.913742\pi\)
0.968263 + 0.249934i \(0.0804089\pi\)
\(398\) −14.5388 + 14.5388i −0.728766 + 0.728766i
\(399\) −9.01763 + 6.81913i −0.451446 + 0.341383i
\(400\) −1.47624 0.852308i −0.0738120 0.0426154i
\(401\) 7.63320 + 28.4875i 0.381184 + 1.42260i 0.844095 + 0.536193i \(0.180138\pi\)
−0.462912 + 0.886404i \(0.653195\pi\)
\(402\) −2.36074 18.9624i −0.117743 0.945760i
\(403\) 10.6711 5.37157i 0.531567 0.267577i
\(404\) 2.75260i 0.136947i
\(405\) 11.8734 11.2227i 0.589993 0.557660i
\(406\) 0.573902 0.994028i 0.0284823 0.0493328i
\(407\) −5.19922 9.00531i −0.257716 0.446377i
\(408\) −10.8112 8.41736i −0.535236 0.416722i
\(409\) 6.36813 + 1.70634i 0.314884 + 0.0843728i 0.412800 0.910822i \(-0.364551\pi\)
−0.0979159 + 0.995195i \(0.531218\pi\)
\(410\) −15.4583 4.14204i −0.763430 0.204561i
\(411\) −15.6765 12.2053i −0.773265 0.602045i
\(412\) −5.08703 8.81100i −0.250620 0.434087i
\(413\) 2.71159 4.69661i 0.133429 0.231105i
\(414\) −12.2542 + 6.84673i −0.602263 + 0.336498i
\(415\) 29.4488i 1.44559i
\(416\) −1.97851 + 3.01422i −0.0970042 + 0.147784i
\(417\) −0.231009 1.85557i −0.0113126 0.0908674i
\(418\) 9.28395 + 34.6482i 0.454093 + 1.69470i
\(419\) 2.23306 + 1.28926i 0.109092 + 0.0629845i 0.553553 0.832814i \(-0.313271\pi\)
−0.444461 + 0.895798i \(0.646605\pi\)
\(420\) 2.50790 1.89647i 0.122373 0.0925383i
\(421\) −6.49697 + 6.49697i −0.316643 + 0.316643i −0.847476 0.530833i \(-0.821879\pi\)
0.530833 + 0.847476i \(0.321879\pi\)
\(422\) −4.11313 + 15.3504i −0.200224 + 0.747246i
\(423\) 31.1613 + 0.438874i 1.51511 + 0.0213388i
\(424\) −1.94187 1.94187i −0.0943057 0.0943057i
\(425\) 11.6780 6.74230i 0.566467 0.327050i
\(426\) 4.40416 10.4244i 0.213382 0.505062i
\(427\) 7.61335 2.03999i 0.368436 0.0987220i
\(428\) −0.712935 −0.0344610
\(429\) 15.1434 30.7972i 0.731130 1.48690i
\(430\) −11.5273 −0.555897
\(431\) 26.0777 6.98751i 1.25612 0.336576i 0.431422 0.902150i \(-0.358012\pi\)
0.824698 + 0.565574i \(0.191345\pi\)
\(432\) 5.13622 + 0.786902i 0.247117 + 0.0378598i
\(433\) 2.31772 1.33814i 0.111383 0.0643067i −0.443274 0.896386i \(-0.646183\pi\)
0.554656 + 0.832080i \(0.312850\pi\)
\(434\) −2.34297 2.34297i −0.112466 0.112466i
\(435\) 0.496247 3.57468i 0.0237932 0.171393i
\(436\) −1.50034 + 5.59935i −0.0718533 + 0.268160i
\(437\) 21.5964 21.5964i 1.03310 1.03310i
\(438\) 3.13582 + 4.14681i 0.149835 + 0.198142i
\(439\) −4.46812 2.57967i −0.213252 0.123121i 0.389570 0.920997i \(-0.372624\pi\)
−0.602822 + 0.797876i \(0.705957\pi\)
\(440\) −2.58196 9.63602i −0.123090 0.459379i
\(441\) −0.735572 2.90842i −0.0350272 0.138496i
\(442\) −12.8242 25.4766i −0.609987 1.21180i
\(443\) 35.8580i 1.70366i −0.523815 0.851832i \(-0.675492\pi\)
0.523815 0.851832i \(-0.324508\pi\)
\(444\) 3.03667 1.23285i 0.144114 0.0585085i
\(445\) −10.8310 + 18.7598i −0.513437 + 0.889299i
\(446\) −3.02163 5.23361i −0.143078 0.247819i
\(447\) 0.507542 0.651885i 0.0240059 0.0308331i
\(448\) 0.965926 + 0.258819i 0.0456357 + 0.0122281i
\(449\) −16.1036 4.31494i −0.759974 0.203634i −0.142036 0.989861i \(-0.545365\pi\)
−0.617938 + 0.786227i \(0.712032\pi\)
\(450\) −2.61904 + 4.39227i −0.123463 + 0.207054i
\(451\) 24.2234 + 41.9562i 1.14064 + 1.97564i
\(452\) 0.749527 1.29822i 0.0352548 0.0610631i
\(453\) −4.96611 12.2322i −0.233328 0.574718i
\(454\) 8.46638i 0.397347i
\(455\) 6.40878 1.32947i 0.300448 0.0623263i
\(456\) −11.2191 + 1.39672i −0.525381 + 0.0654075i
\(457\) −9.26890 34.5920i −0.433581 1.61815i −0.744439 0.667690i \(-0.767283\pi\)
0.310858 0.950456i \(-0.399384\pi\)
\(458\) −0.598053 0.345286i −0.0279452 0.0161341i
\(459\) −25.7063 + 32.0749i −1.19987 + 1.49713i
\(460\) −6.00618 + 6.00618i −0.280040 + 0.280040i
\(461\) 4.01311 14.9771i 0.186909 0.697554i −0.807305 0.590135i \(-0.799075\pi\)
0.994214 0.107420i \(-0.0342588\pi\)
\(462\) −9.42794 1.30881i −0.438627 0.0608915i
\(463\) −12.4123 12.4123i −0.576847 0.576847i 0.357186 0.934033i \(-0.383736\pi\)
−0.934033 + 0.357186i \(0.883736\pi\)
\(464\) 0.994028 0.573902i 0.0461466 0.0266427i
\(465\) −9.59690 4.05457i −0.445046 0.188026i
\(466\) 6.13247 1.64319i 0.284081 0.0761193i
\(467\) 3.99462 0.184849 0.0924245 0.995720i \(-0.470538\pi\)
0.0924245 + 0.995720i \(0.470538\pi\)
\(468\) 8.95817 + 6.06227i 0.414092 + 0.280229i
\(469\) −11.0325 −0.509433
\(470\) 18.2152 4.88075i 0.840205 0.225132i
\(471\) −33.0317 13.9555i −1.52202 0.643034i
\(472\) 4.69661 2.71159i 0.216179 0.124811i
\(473\) 24.6753 + 24.6753i 1.13457 + 1.13457i
\(474\) −0.959361 0.133181i −0.0440649 0.00611721i
\(475\) 2.87977 10.7475i 0.132133 0.493127i
\(476\) −5.59367 + 5.59367i −0.256385 + 0.256385i
\(477\) −5.90708 + 5.74301i −0.270467 + 0.262954i
\(478\) −9.83859 5.68031i −0.450007 0.259811i
\(479\) −6.22647 23.2375i −0.284495 1.06175i −0.949208 0.314650i \(-0.898113\pi\)
0.664713 0.747099i \(-0.268554\pi\)
\(480\) 3.12014 0.388443i 0.142414 0.0177299i
\(481\) 6.81125 + 0.390413i 0.310566 + 0.0178013i
\(482\) 9.44629i 0.430267i
\(483\) 3.04862 + 7.50915i 0.138717 + 0.341678i
\(484\) −9.59983 + 16.6274i −0.436356 + 0.755790i
\(485\) 13.1682 + 22.8079i 0.597935 + 1.03565i
\(486\) 2.57746 15.3739i 0.116916 0.697374i
\(487\) 6.68781 + 1.79199i 0.303054 + 0.0812030i 0.407141 0.913365i \(-0.366526\pi\)
−0.104088 + 0.994568i \(0.533192\pi\)
\(488\) 7.61335 + 2.03999i 0.344640 + 0.0923460i
\(489\) −0.519643 + 0.667427i −0.0234991 + 0.0301821i
\(490\) −0.907660 1.57211i −0.0410039 0.0710208i
\(491\) −14.1855 + 24.5700i −0.640182 + 1.10883i 0.345210 + 0.938526i \(0.387808\pi\)
−0.985392 + 0.170303i \(0.945526\pi\)
\(492\) −14.1480 + 5.74391i −0.637841 + 0.258955i
\(493\) 9.07987i 0.408937i
\(494\) −22.3469 7.38211i −1.00543 0.332137i
\(495\) −29.0143 + 7.33803i −1.30410 + 0.329820i
\(496\) −0.857586 3.20055i −0.0385067 0.143709i
\(497\) −5.65827 3.26680i −0.253808 0.146536i
\(498\) −16.9476 22.4116i −0.759440 1.00429i
\(499\) −15.6565 + 15.6565i −0.700883 + 0.700883i −0.964600 0.263717i \(-0.915051\pi\)
0.263717 + 0.964600i \(0.415051\pi\)
\(500\) −3.15009 + 11.7563i −0.140876 + 0.525758i
\(501\) 3.19084 22.9850i 0.142556 1.02689i
\(502\) −14.8585 14.8585i −0.663166 0.663166i
\(503\) 12.8930 7.44375i 0.574868 0.331900i −0.184223 0.982884i \(-0.558977\pi\)
0.759091 + 0.650984i \(0.225644\pi\)
\(504\) 0.817188 2.88656i 0.0364005 0.128577i
\(505\) −4.82658 + 1.29328i −0.214780 + 0.0575501i
\(506\) 25.7135 1.14311
\(507\) 11.4401 + 19.3939i 0.508072 + 0.861315i
\(508\) −13.1274 −0.582436
\(509\) 15.6508 4.19361i 0.693709 0.185879i 0.105298 0.994441i \(-0.466420\pi\)
0.588411 + 0.808562i \(0.299754\pi\)
\(510\) −9.68000 + 22.9119i −0.428638 + 1.01456i
\(511\) 2.59949 1.50082i 0.114995 0.0663922i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 3.71577 + 33.7129i 0.164055 + 1.48846i
\(514\) −2.63083 + 9.81841i −0.116041 + 0.433071i
\(515\) −13.0597 + 13.0597i −0.575478 + 0.575478i
\(516\) −8.77269 + 6.63390i −0.386196 + 0.292041i
\(517\) −49.4389 28.5436i −2.17432 1.25534i
\(518\) −0.489737 1.82773i −0.0215178 0.0803056i
\(519\) 2.31216 + 18.5723i 0.101493 + 0.815233i
\(520\) 6.21490 + 2.05304i 0.272542 + 0.0900318i
\(521\) 19.4661i 0.852827i 0.904528 + 0.426413i \(0.140223\pi\)
−0.904528 + 0.426413i \(0.859777\pi\)
\(522\) −1.67954 3.00603i −0.0735115 0.131571i
\(523\) −1.38914 + 2.40606i −0.0607429 + 0.105210i −0.894798 0.446472i \(-0.852680\pi\)
0.834055 + 0.551682i \(0.186014\pi\)
\(524\) 6.66563 + 11.5452i 0.291189 + 0.504355i
\(525\) 2.32965 + 1.81380i 0.101674 + 0.0791609i
\(526\) −17.5005 4.68924i −0.763057 0.204460i
\(527\) 25.3184 + 6.78406i 1.10289 + 0.295518i
\(528\) −7.51043 5.84743i −0.326849 0.254477i
\(529\) 0.553102 + 0.958002i 0.0240479 + 0.0416522i
\(530\) −2.49264 + 4.31738i −0.108273 + 0.187535i
\(531\) −7.93554 14.2030i −0.344373 0.616358i
\(532\) 6.52733i 0.282996i
\(533\) −31.7339 1.81895i −1.37455 0.0787875i
\(534\) 2.55340 + 20.5100i 0.110496 + 0.887553i
\(535\) 0.334965 + 1.25011i 0.0144818 + 0.0540468i
\(536\) −9.55441 5.51624i −0.412688 0.238265i
\(537\) −9.58977 + 7.25178i −0.413829 + 0.312937i
\(538\) −3.26750 + 3.26750i −0.140872 + 0.140872i
\(539\) −1.42232 + 5.30817i −0.0612636 + 0.228639i
\(540\) −1.03340 9.37590i −0.0444702 0.403474i
\(541\) 25.6508 + 25.6508i 1.10281 + 1.10281i 0.994070 + 0.108745i \(0.0346832\pi\)
0.108745 + 0.994070i \(0.465317\pi\)
\(542\) 24.4271 14.1030i 1.04923 0.605775i
\(543\) 11.4600 27.1251i 0.491797 1.16405i
\(544\) −7.64110 + 2.04743i −0.327609 + 0.0877826i
\(545\) 10.5232 0.450763
\(546\) 4.11220 4.69998i 0.175986 0.201141i
\(547\) 21.9423 0.938185 0.469092 0.883149i \(-0.344581\pi\)
0.469092 + 0.883149i \(0.344581\pi\)
\(548\) −11.0797 + 2.96881i −0.473303 + 0.126821i
\(549\) 6.44101 22.7516i 0.274896 0.971014i
\(550\) 8.11256 4.68379i 0.345921 0.199717i
\(551\) 5.29772 + 5.29772i 0.225690 + 0.225690i
\(552\) −1.11439 + 8.02742i −0.0474316 + 0.341670i
\(553\) −0.144731 + 0.540145i −0.00615460 + 0.0229693i
\(554\) −13.9863 + 13.9863i −0.594220 + 0.594220i
\(555\) −3.58850 4.74545i −0.152323 0.201433i
\(556\) −0.934945 0.539791i −0.0396505 0.0228922i
\(557\) −1.48980 5.56000i −0.0631248 0.235585i 0.927154 0.374680i \(-0.122247\pi\)
−0.990279 + 0.139095i \(0.955581\pi\)
\(558\) −9.63694 + 2.43729i −0.407964 + 0.103179i
\(559\) −22.4181 + 4.65050i −0.948184 + 0.196695i
\(560\) 1.81532i 0.0767113i
\(561\) 69.7659 28.3241i 2.94552 1.19584i
\(562\) 4.99402 8.64990i 0.210660 0.364874i
\(563\) −1.81159 3.13777i −0.0763495 0.132241i 0.825323 0.564661i \(-0.190993\pi\)
−0.901672 + 0.432420i \(0.857660\pi\)
\(564\) 11.0535 14.1971i 0.465438 0.597807i
\(565\) −2.62854 0.704314i −0.110583 0.0296307i
\(566\) 3.06341 + 0.820839i 0.128765 + 0.0345024i
\(567\) −8.62428 2.57327i −0.362186 0.108067i
\(568\) −3.26680 5.65827i −0.137072 0.237416i
\(569\) 4.40720 7.63350i 0.184759 0.320013i −0.758736 0.651398i \(-0.774183\pi\)
0.943495 + 0.331386i \(0.107516\pi\)
\(570\) 7.72026 + 19.0160i 0.323366 + 0.796492i
\(571\) 25.3120i 1.05927i −0.848225 0.529636i \(-0.822328\pi\)
0.848225 0.529636i \(-0.177672\pi\)
\(572\) −8.90883 17.6983i −0.372497 0.740001i
\(573\) 4.00122 0.498133i 0.167153 0.0208098i
\(574\) 2.28171 + 8.51546i 0.0952368 + 0.355429i
\(575\) −6.90745 3.98802i −0.288060 0.166312i
\(576\) 2.15098 2.09124i 0.0896243 0.0871348i
\(577\) 16.4990 16.4990i 0.686861 0.686861i −0.274676 0.961537i \(-0.588571\pi\)
0.961537 + 0.274676i \(0.0885706\pi\)
\(578\) 11.7965 44.0252i 0.490671 1.83121i
\(579\) 13.8600 + 1.92409i 0.576004 + 0.0799625i
\(580\) −1.47335 1.47335i −0.0611775 0.0611775i
\(581\) −14.0490 + 8.11120i −0.582851 + 0.336509i
\(582\) 23.1472 + 9.77940i 0.959482 + 0.405369i
\(583\) 14.5774 3.90601i 0.603735 0.161770i
\(584\) 3.00163 0.124208
\(585\) 6.42108 18.5561i 0.265479 0.767201i
\(586\) −10.7896 −0.445714
\(587\) 16.8416 4.51270i 0.695129 0.186259i 0.106081 0.994357i \(-0.466170\pi\)
0.589048 + 0.808098i \(0.299503\pi\)
\(588\) −1.59550 0.674078i −0.0657973 0.0277985i
\(589\) 18.7304 10.8140i 0.771774 0.445584i
\(590\) −6.96133 6.96133i −0.286593 0.286593i
\(591\) −45.4684 6.31205i −1.87032 0.259643i
\(592\) 0.489737 1.82773i 0.0201281 0.0751190i
\(593\) −4.18904 + 4.18904i −0.172023 + 0.172023i −0.787868 0.615844i \(-0.788815\pi\)
0.615844 + 0.787868i \(0.288815\pi\)
\(594\) −17.8579 + 22.2820i −0.732717 + 0.914242i
\(595\) 12.4364 + 7.18017i 0.509844 + 0.294358i
\(596\) −0.123454 0.460735i −0.00505685 0.0188724i
\(597\) 35.3399 4.39966i 1.44637 0.180066i
\(598\) −9.25759 + 14.1038i −0.378571 + 0.576746i
\(599\) 33.6465i 1.37476i −0.726299 0.687379i \(-0.758761\pi\)
0.726299 0.687379i \(-0.241239\pi\)
\(600\) 1.11063 + 2.73562i 0.0453413 + 0.111681i
\(601\) −12.4651 + 21.5902i −0.508462 + 0.880682i 0.491490 + 0.870883i \(0.336453\pi\)
−0.999952 + 0.00979909i \(0.996881\pi\)
\(602\) 3.17501 + 5.49929i 0.129404 + 0.224134i
\(603\) −16.9507 + 28.4273i −0.690287 + 1.15765i
\(604\) −7.36237 1.97274i −0.299570 0.0802697i
\(605\) 33.6659 + 9.02075i 1.36871 + 0.366746i
\(606\) −2.92892 + 3.76189i −0.118979 + 0.152816i
\(607\) 0.826429 + 1.43142i 0.0335437 + 0.0580994i 0.882310 0.470669i \(-0.155987\pi\)
−0.848766 + 0.528768i \(0.822654\pi\)
\(608\) −3.26367 + 5.65284i −0.132359 + 0.229253i
\(609\) −1.84204 + 0.747844i −0.0746431 + 0.0303042i
\(610\) 14.3082i 0.579322i
\(611\) 33.4554 16.8406i 1.35346 0.681297i
\(612\) 5.81885 + 23.0075i 0.235213 + 0.930024i
\(613\) 7.66738 + 28.6151i 0.309683 + 1.15575i 0.928839 + 0.370484i \(0.120808\pi\)
−0.619156 + 0.785268i \(0.712525\pi\)
\(614\) −20.6840 11.9419i −0.834739 0.481937i
\(615\) 16.7190 + 22.1093i 0.674176 + 0.891532i
\(616\) −3.88585 + 3.88585i −0.156565 + 0.156565i
\(617\) 1.56573 5.84339i 0.0630340 0.235246i −0.927220 0.374516i \(-0.877809\pi\)
0.990254 + 0.139270i \(0.0444756\pi\)
\(618\) −2.42310 + 17.4546i −0.0974713 + 0.702127i
\(619\) −13.6908 13.6908i −0.550280 0.550280i 0.376242 0.926521i \(-0.377216\pi\)
−0.926521 + 0.376242i \(0.877216\pi\)
\(620\) −5.20913 + 3.00749i −0.209204 + 0.120784i
\(621\) 24.0328 + 3.68198i 0.964403 + 0.147753i
\(622\) 20.5805 5.51453i 0.825203 0.221113i
\(623\) 11.9328 0.478079
\(624\) 5.91126 2.01420i 0.236640 0.0806326i
\(625\) 13.5712 0.542849
\(626\) −21.7415 + 5.82562i −0.868965 + 0.232838i
\(627\) 24.1795 57.2313i 0.965636 2.28560i
\(628\) −17.9294 + 10.3515i −0.715459 + 0.413071i
\(629\) 10.5843 + 10.5843i 0.422025 + 0.422025i
\(630\) −5.44542 0.0766930i −0.216951 0.00305552i
\(631\) −7.70811 + 28.7671i −0.306855 + 1.14520i 0.624481 + 0.781040i \(0.285310\pi\)
−0.931337 + 0.364159i \(0.881356\pi\)
\(632\) −0.395413 + 0.395413i −0.0157287 + 0.0157287i
\(633\) 21.9550 16.6023i 0.872632 0.659884i
\(634\) −1.77788 1.02646i −0.0706088 0.0407660i
\(635\) 6.16779 + 23.0185i 0.244761 + 0.913462i
\(636\) 0.587639 + 4.72016i 0.0233014 + 0.187167i
\(637\) −2.39944 2.69123i −0.0950691 0.106630i
\(638\) 6.30767i 0.249723i
\(639\) −17.1111 + 9.56039i −0.676906 + 0.378203i
\(640\) 0.907660 1.57211i 0.0358784 0.0621432i
\(641\) −3.24392 5.61864i −0.128127 0.221923i 0.794824 0.606840i \(-0.207563\pi\)
−0.922951 + 0.384917i \(0.874230\pi\)
\(642\) 0.974346 + 0.758602i 0.0384544 + 0.0299396i
\(643\) −12.5107 3.35224i −0.493375 0.132200i 0.00354841 0.999994i \(-0.498871\pi\)
−0.496924 + 0.867794i \(0.665537\pi\)
\(644\) 4.51964 + 1.21104i 0.178099 + 0.0477215i
\(645\) 15.7541 + 12.2657i 0.620315 + 0.482962i
\(646\) −25.8177 44.7176i −1.01578 1.75939i
\(647\) −11.8424 + 20.5117i −0.465574 + 0.806397i −0.999227 0.0393061i \(-0.987485\pi\)
0.533654 + 0.845703i \(0.320819\pi\)
\(648\) −6.18221 6.54066i −0.242860 0.256941i
\(649\) 29.8027i 1.16986i
\(650\) −0.351709 + 6.13601i −0.0137951 + 0.240674i
\(651\) 0.709015 + 5.69511i 0.0277885 + 0.223209i
\(652\) 0.126397 + 0.471720i 0.00495009 + 0.0184740i
\(653\) −32.5077 18.7683i −1.27212 0.734461i −0.296736 0.954959i \(-0.595898\pi\)
−0.975387 + 0.220499i \(0.929232\pi\)
\(654\) 8.00849 6.05601i 0.313157 0.236809i
\(655\) 17.1123 17.1123i 0.668634 0.668634i
\(656\) −2.28171 + 8.51546i −0.0890859 + 0.332473i
\(657\) 0.126812 9.00400i 0.00494740 0.351280i
\(658\) −7.34551 7.34551i −0.286358 0.286358i
\(659\) −23.1197 + 13.3482i −0.900618 + 0.519972i −0.877400 0.479759i \(-0.840724\pi\)
−0.0232170 + 0.999730i \(0.507391\pi\)
\(660\) −6.72457 + 15.9166i −0.261754 + 0.619553i
\(661\) −7.46788 + 2.00101i −0.290467 + 0.0778304i −0.401110 0.916030i \(-0.631376\pi\)
0.110643 + 0.993860i \(0.464709\pi\)
\(662\) 26.5283 1.03105
\(663\) −9.58201 + 48.4638i −0.372134 + 1.88218i
\(664\) −16.2224 −0.629551
\(665\) 11.4454 3.06680i 0.443835 0.118925i
\(666\) −5.46194 1.54628i −0.211646 0.0599173i
\(667\) 4.65114 2.68534i 0.180093 0.103977i
\(668\) −9.47356 9.47356i −0.366543 0.366543i
\(669\) −1.43929 + 10.3678i −0.0556460 + 0.400842i
\(670\) −5.18349 + 19.3451i −0.200256 + 0.747365i
\(671\) −30.6279 + 30.6279i −1.18238 + 1.18238i
\(672\) −1.04470 1.38152i −0.0403003 0.0532932i
\(673\) −9.60536 5.54566i −0.370260 0.213769i 0.303312 0.952891i \(-0.401907\pi\)
−0.673572 + 0.739122i \(0.735241\pi\)
\(674\) −1.11614 4.16548i −0.0429920 0.160448i
\(675\) 8.25298 3.21599i 0.317657 0.123783i
\(676\) 12.9149 + 1.48541i 0.496725 + 0.0571311i
\(677\) 32.4106i 1.24564i −0.782366 0.622819i \(-0.785987\pi\)
0.782366 0.622819i \(-0.214013\pi\)
\(678\) −2.40573 + 0.976698i −0.0923916 + 0.0375099i
\(679\) 7.25390 12.5641i 0.278379 0.482167i
\(680\) 7.18017 + 12.4364i 0.275347 + 0.476915i
\(681\) 9.00870 11.5707i 0.345214 0.443392i
\(682\) 17.5884 + 4.71280i 0.673494 + 0.180462i
\(683\) −29.0808 7.79217i −1.11274 0.298159i −0.344801 0.938676i \(-0.612053\pi\)
−0.767944 + 0.640517i \(0.778720\pi\)
\(684\) 16.8189 + 10.0288i 0.643088 + 0.383463i
\(685\) 10.4114 + 18.0331i 0.397799 + 0.689008i
\(686\) −0.500000 + 0.866025i −0.0190901 + 0.0330650i
\(687\) 0.449937 + 1.10825i 0.0171662 + 0.0422825i
\(688\) 6.35003i 0.242093i
\(689\) −3.10585 + 9.40194i −0.118324 + 0.358185i
\(690\) 14.5994 1.81756i 0.555789 0.0691932i
\(691\) 4.29147 + 16.0160i 0.163255 + 0.609276i 0.998256 + 0.0590282i \(0.0188002\pi\)
−0.835001 + 0.550248i \(0.814533\pi\)
\(692\) 9.35783 + 5.40274i 0.355731 + 0.205382i
\(693\) 11.4922 + 11.8206i 0.436554 + 0.449026i
\(694\) 5.98479 5.98479i 0.227179 0.227179i
\(695\) −0.507230 + 1.89301i −0.0192403 + 0.0718059i
\(696\) −1.96917 0.273366i −0.0746413 0.0103619i
\(697\) −49.3130 49.3130i −1.86786 1.86786i
\(698\) 26.7188 15.4261i 1.01132 0.583887i
\(699\) −10.1295 4.27959i −0.383133 0.161869i
\(700\) 1.64653 0.441187i 0.0622330 0.0166753i
\(701\) −20.1374 −0.760581 −0.380290 0.924867i \(-0.624176\pi\)
−0.380290 + 0.924867i \(0.624176\pi\)
\(702\) −5.79227 17.8171i −0.218615 0.672464i
\(703\) 12.3510 0.465828
\(704\) −5.30817 + 1.42232i −0.200059 + 0.0536057i
\(705\) −30.0876 12.7116i −1.13316 0.478747i
\(706\) 10.4478 6.03205i 0.393209 0.227019i
\(707\) 1.94638 + 1.94638i 0.0732011 + 0.0732011i
\(708\) −9.30400 1.29161i −0.349666 0.0485416i
\(709\) 0.390797 1.45848i 0.0146767 0.0547742i −0.958199 0.286102i \(-0.907640\pi\)
0.972876 + 0.231328i \(0.0743070\pi\)
\(710\) −8.38670 + 8.38670i −0.314747 + 0.314747i
\(711\) 1.16942 + 1.20283i 0.0438566 + 0.0451096i
\(712\) 10.3341 + 5.96642i 0.387289 + 0.223601i
\(713\) −4.01271 14.9756i −0.150277 0.560842i
\(714\) 13.5967 1.69272i 0.508843 0.0633486i
\(715\) −26.8475 + 23.9366i −1.00404 + 0.895180i
\(716\) 6.94147i 0.259415i
\(717\) 7.40193 + 18.2319i 0.276430 + 0.680883i
\(718\) −10.8242 + 18.7481i −0.403957 + 0.699673i
\(719\) −12.6851 21.9713i −0.473075 0.819390i 0.526450 0.850206i \(-0.323523\pi\)
−0.999525 + 0.0308161i \(0.990189\pi\)
\(720\) −4.67752 2.78913i −0.174321 0.103945i
\(721\) 9.82739 + 2.63324i 0.365991 + 0.0980671i
\(722\) −22.8017 6.10970i −0.848592 0.227380i
\(723\) −10.0514 + 12.9100i −0.373815 + 0.480127i
\(724\) −8.50052 14.7233i −0.315919 0.547188i
\(725\) 0.978282 1.69443i 0.0363325 0.0629297i
\(726\) 30.8123 12.5094i 1.14355 0.464267i
\(727\) 10.6469i 0.394871i 0.980316 + 0.197435i \(0.0632613\pi\)
−0.980316 + 0.197435i \(0.936739\pi\)
\(728\) −0.732359 3.53039i −0.0271430 0.130845i
\(729\) −19.8812 + 18.2685i −0.736342 + 0.676610i
\(730\) −1.41028 5.26325i −0.0521970 0.194802i
\(731\) −43.5029 25.1164i −1.60901 0.928964i
\(732\) −8.23427 10.8890i −0.304347 0.402470i
\(733\) 3.08031 3.08031i 0.113774 0.113774i −0.647928 0.761702i \(-0.724364\pi\)
0.761702 + 0.647928i \(0.224364\pi\)
\(734\) 1.60003 5.97139i 0.0590581 0.220408i
\(735\) −0.432344 + 3.11436i −0.0159473 + 0.114875i
\(736\) 3.30861 + 3.30861i 0.121957 + 0.121957i
\(737\) 52.5055 30.3141i 1.93407 1.11663i
\(738\) 25.4475 + 7.20422i 0.936734 + 0.265191i
\(739\) 6.16372 1.65156i 0.226736 0.0607537i −0.143662 0.989627i \(-0.545888\pi\)
0.370398 + 0.928873i \(0.379221\pi\)
\(740\) −3.43495 −0.126271
\(741\) 22.6858 + 33.8672i 0.833385 + 1.24414i
\(742\) 2.74622 0.100817
\(743\) 0.759466 0.203498i 0.0278621 0.00746563i −0.244861 0.969558i \(-0.578742\pi\)
0.272723 + 0.962093i \(0.412076\pi\)
\(744\) −2.23353 + 5.28662i −0.0818852 + 0.193817i
\(745\) −0.749879 + 0.432943i −0.0274734 + 0.0158618i
\(746\) 9.78177 + 9.78177i 0.358136 + 0.358136i
\(747\) −0.685359 + 48.6624i −0.0250760 + 1.78046i
\(748\) 11.2515 41.9910i 0.411394 1.53534i
\(749\) 0.504121 0.504121i 0.0184202 0.0184202i
\(750\) 16.8145 12.7151i 0.613978 0.464290i
\(751\) 11.4267 + 6.59723i 0.416967 + 0.240736i 0.693779 0.720188i \(-0.255944\pi\)
−0.276812 + 0.960924i \(0.589278\pi\)
\(752\) −2.68865 10.0342i −0.0980448 0.365908i
\(753\) 4.49639 + 36.1169i 0.163857 + 1.31617i
\(754\) −3.45973 2.27094i −0.125996 0.0827027i
\(755\) 13.8365i 0.503562i
\(756\) −4.18828 + 3.07543i −0.152326 + 0.111852i
\(757\) −15.2305 + 26.3799i −0.553560 + 0.958795i 0.444454 + 0.895802i \(0.353398\pi\)
−0.998014 + 0.0629928i \(0.979935\pi\)
\(758\) −8.53783 14.7879i −0.310108 0.537122i
\(759\) −35.1419 27.3606i −1.27557 0.993127i
\(760\) 11.4454 + 3.06680i 0.415170 + 0.111244i
\(761\) −14.8093 3.96814i −0.536837 0.143845i −0.0197932 0.999804i \(-0.506301\pi\)
−0.517043 + 0.855959i \(0.672967\pi\)
\(762\) 17.9409 + 13.9683i 0.649930 + 0.506019i
\(763\) −2.89844 5.02024i −0.104930 0.181745i
\(764\) 1.16397 2.01605i 0.0421109 0.0729382i
\(765\) 37.6089 21.0130i 1.35975 0.759726i
\(766\) 7.66178i 0.276832i
\(767\) −16.3467 10.7298i −0.590243 0.387431i
\(768\) −0.213981 1.71878i −0.00772136 0.0620212i
\(769\) 0.511064 + 1.90732i 0.0184294 + 0.0687795i 0.974528 0.224265i \(-0.0719982\pi\)
−0.956099 + 0.293045i \(0.905332\pi\)
\(770\) 8.63942 + 4.98797i 0.311343 + 0.179754i
\(771\) 14.0428 10.6192i 0.505740 0.382440i
\(772\) 5.71260 5.71260i 0.205601 0.205601i
\(773\) −9.33990 + 34.8570i −0.335933 + 1.25372i 0.566922 + 0.823772i \(0.308134\pi\)
−0.902854 + 0.429946i \(0.858532\pi\)