Properties

Label 546.2.bu.a.71.10
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 71.10
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.a.323.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(-1.38152 - 1.04470i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.28362 + 1.28362i) q^{5} +(-1.60483 - 0.651543i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.817188 + 2.88656i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(-1.38152 - 1.04470i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.28362 + 1.28362i) q^{5} +(-1.60483 - 0.651543i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.817188 + 2.88656i) 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} +(-0.432344 - 3.11436i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-3.95532 - 6.85082i) q^{17} +(1.53644 + 2.57669i) q^{18} +(6.30492 + 1.68940i) q^{19} +(1.75346 + 0.469839i) q^{20} +(1.36667 - 1.06406i) q^{21} +(2.74771 + 4.75917i) q^{22} +(-2.33954 + 4.05220i) q^{23} +(-1.71560 + 0.238164i) 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} +(-1.22367 - 2.89634i) q^{30} +(2.34297 - 2.34297i) q^{31} +(0.258819 - 0.965926i) q^{32} +(3.58050 - 8.81924i) q^{33} +(-5.59367 - 5.59367i) q^{34} +(-1.57211 + 0.907660i) q^{35} +(2.15098 + 2.09124i) q^{36} +(1.82773 - 0.489737i) q^{37} +6.52733 q^{38} +(-3.54824 - 5.13907i) q^{39} +1.81532 q^{40} +(8.51546 - 2.28171i) q^{41} +(1.04470 - 1.38152i) q^{42} +(-5.49929 + 3.17501i) q^{43} +(3.88585 + 3.88585i) q^{44} +(-2.65629 + 4.75422i) q^{45} +(-1.21104 + 4.51964i) q^{46} +(-7.34551 + 7.34551i) q^{47} +(-1.59550 + 0.674078i) 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} +(0.569264 - 5.16488i) q^{54} +(-4.98797 + 8.63942i) q^{55} +(0.500000 + 0.866025i) q^{56} +(-6.94544 - 8.92071i) q^{57} +(-1.10869 - 0.297074i) q^{58} +(5.23839 + 1.40362i) q^{59} +(-1.93160 - 2.48094i) q^{60} +(-3.94096 - 6.82594i) q^{61} +(1.65673 - 2.86954i) q^{62} +(-2.99970 + 0.0422477i) 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} +(7.46547 - 3.15407i) q^{69} +(-1.28362 + 1.28362i) q^{70} +(1.69102 - 6.31098i) q^{71} +(2.61894 + 1.46326i) q^{72} +(-2.12247 - 2.12247i) q^{73} +(1.63869 - 0.946100i) q^{74} +(-1.78082 + 2.35496i) q^{75} +(6.30492 - 1.68940i) q^{76} -5.49542 q^{77} +(-4.75742 - 4.04561i) q^{78} +0.559199 q^{79} +(1.75346 - 0.469839i) q^{80} +(-7.66441 + 4.71772i) q^{81} +(7.63476 - 4.40793i) q^{82} +(-11.4710 - 11.4710i) q^{83} +(0.651543 - 1.60483i) q^{84} +(3.71673 - 13.8710i) q^{85} +(-4.49015 + 4.49015i) q^{86} +(0.773710 + 1.83132i) 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} +(-5.68456 + 0.789147i) q^{93} +(-5.19406 + 8.99638i) q^{94} +(5.92460 + 10.2617i) q^{95} +(-1.36667 + 1.06406i) q^{96} +(-14.0135 - 3.75490i) q^{97} +(-0.965926 - 0.258819i) q^{98} +(-14.1600 + 8.44338i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

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
\(3\) −1.38152 1.04470i −0.797620 0.603160i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 1.28362 + 1.28362i 0.574054 + 0.574054i 0.933259 0.359204i \(-0.116952\pi\)
−0.359204 + 0.933259i \(0.616952\pi\)
\(6\) −1.60483 0.651543i −0.655171 0.265991i
\(7\) −0.258819 + 0.965926i −0.0978244 + 0.365086i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 0.817188 + 2.88656i 0.272396 + 0.962185i
\(10\) 1.57211 + 0.907660i 0.497146 + 0.287027i
\(11\) 1.42232 + 5.30817i 0.428846 + 1.60047i 0.755379 + 0.655288i \(0.227453\pi\)
−0.326534 + 0.945186i \(0.605881\pi\)
\(12\) −1.71878 0.213981i −0.496170 0.0617709i
\(13\) 3.42359 + 1.13095i 0.949532 + 0.313670i
\(14\) 1.00000i 0.267261i
\(15\) −0.432344 3.11436i −0.111631 0.804124i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −3.95532 6.85082i −0.959306 1.66157i −0.724190 0.689600i \(-0.757786\pi\)
−0.235116 0.971967i \(-0.575547\pi\)
\(18\) 1.53644 + 2.57669i 0.362142 + 0.607333i
\(19\) 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
\(21\) 1.36667 1.06406i 0.298232 0.232196i
\(22\) 2.74771 + 4.75917i 0.585814 + 1.01466i
\(23\) −2.33954 + 4.05220i −0.487828 + 0.844943i −0.999902 0.0139986i \(-0.995544\pi\)
0.512074 + 0.858941i \(0.328877\pi\)
\(24\) −1.71560 + 0.238164i −0.350195 + 0.0486151i
\(25\) 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 0.404859 0.914379i \(-0.367320\pi\)
−0.589446 + 0.807808i \(0.700654\pi\)
\(30\) −1.22367 2.89634i −0.223410 0.528797i
\(31\) 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
\(33\) 3.58050 8.81924i 0.623286 1.53523i
\(34\) −5.59367 5.59367i −0.959306 0.959306i
\(35\) −1.57211 + 0.907660i −0.265736 + 0.153423i
\(36\) 2.15098 + 2.09124i 0.358497 + 0.348539i
\(37\) 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
\(39\) −3.54824 5.13907i −0.568173 0.822909i
\(40\) 1.81532 0.287027
\(41\) 8.51546 2.28171i 1.32989 0.356344i 0.477217 0.878785i \(-0.341645\pi\)
0.852675 + 0.522442i \(0.174979\pi\)
\(42\) 1.04470 1.38152i 0.161201 0.213173i
\(43\) −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
\(45\) −2.65629 + 4.75422i −0.395977 + 0.708717i
\(46\) −1.21104 + 4.51964i −0.178557 + 0.666385i
\(47\) −7.34551 + 7.34551i −1.07145 + 1.07145i −0.0742109 + 0.997243i \(0.523644\pi\)
−0.997243 + 0.0742109i \(0.976356\pi\)
\(48\) −1.59550 + 0.674078i −0.230290 + 0.0972948i
\(49\) −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 \(-0.939601\pi\)
0.982052 0.188611i \(-0.0603987\pi\)
\(54\) 0.569264 5.16488i 0.0774670 0.702851i
\(55\) −4.98797 + 8.63942i −0.672578 + 1.16494i
\(56\) 0.500000 + 0.866025i 0.0668153 + 0.115728i
\(57\) −6.94544 8.92071i −0.919947 1.18158i
\(58\) −1.10869 0.297074i −0.145579 0.0390077i
\(59\) 5.23839 + 1.40362i 0.681980 + 0.182736i 0.583145 0.812368i \(-0.301822\pi\)
0.0988349 + 0.995104i \(0.468488\pi\)
\(60\) −1.93160 2.48094i −0.249369 0.320288i
\(61\) −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
\(63\) −2.99970 + 0.0422477i −0.377927 + 0.00532271i
\(64\) 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
\(69\) 7.46547 3.15407i 0.898737 0.379705i
\(70\) −1.28362 + 1.28362i −0.153423 + 0.153423i
\(71\) 1.69102 6.31098i 0.200687 0.748976i −0.790034 0.613064i \(-0.789937\pi\)
0.990721 0.135912i \(-0.0433964\pi\)
\(72\) 2.61894 + 1.46326i 0.308645 + 0.172447i
\(73\) −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
\(75\) −1.78082 + 2.35496i −0.205631 + 0.271927i
\(76\) 6.30492 1.68940i 0.723224 0.193787i
\(77\) −5.49542 −0.626261
\(78\) −4.75742 4.04561i −0.538672 0.458075i
\(79\) 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
\(81\) −7.66441 + 4.71772i −0.851601 + 0.524191i
\(82\) 7.63476 4.40793i 0.843118 0.486774i
\(83\) −11.4710 11.4710i −1.25910 1.25910i −0.951522 0.307581i \(-0.900481\pi\)
−0.307581 0.951522i \(-0.599519\pi\)
\(84\) 0.651543 1.60483i 0.0710892 0.175102i
\(85\) 3.71673 13.8710i 0.403136 1.50452i
\(86\) −4.49015 + 4.49015i −0.484185 + 0.484185i
\(87\) 0.773710 + 1.83132i 0.0829505 + 0.196338i
\(88\) 4.75917 + 2.74771i 0.507330 + 0.292907i
\(89\) 3.08845 + 11.5262i 0.327375 + 1.22178i 0.911903 + 0.410406i \(0.134613\pi\)
−0.584528 + 0.811373i \(0.698720\pi\)
\(90\) −1.33530 + 5.27972i −0.140753 + 0.556531i
\(91\) −1.97851 + 3.01422i −0.207404 + 0.315976i
\(92\) 4.67908i 0.487828i
\(93\) −5.68456 + 0.789147i −0.589462 + 0.0818307i
\(94\) −5.19406 + 8.99638i −0.535727 + 0.927906i
\(95\) 5.92460 + 10.2617i 0.607851 + 1.05283i
\(96\) −1.36667 + 1.06406i −0.139485 + 0.108600i
\(97\) −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
\(99\) −14.1600 + 8.44338i −1.42314 + 0.848591i
\(100\) −0.852308 1.47624i −0.0852308 0.147624i
\(101\) −1.37630 + 2.38382i −0.136947 + 0.237199i −0.926339 0.376690i \(-0.877062\pi\)
0.789393 + 0.613889i \(0.210396\pi\)
\(102\) 1.88403 + 13.5715i 0.186547 + 1.34378i
\(103\) 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 0.529547 0.848281i \(-0.322362\pi\)
−0.469859 + 0.882742i \(0.655695\pi\)
\(108\) −0.786902 5.13622i −0.0757197 0.494233i
\(109\) −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
\(111\) −3.03667 1.23285i −0.288228 0.117017i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) −1.29822 + 0.749527i −0.122126 + 0.0705096i −0.559819 0.828615i \(-0.689129\pi\)
0.437692 + 0.899125i \(0.355796\pi\)
\(114\) −9.01763 6.81913i −0.844579 0.638670i
\(115\) −8.20460 + 2.19842i −0.765083 + 0.205003i
\(116\) −1.14780 −0.106571
\(117\) −0.466844 + 10.8066i −0.0431597 + 0.999068i
\(118\) 5.42318 0.499244
\(119\) 7.64110 2.04743i 0.700458 0.187687i
\(120\) −2.50790 1.89647i −0.228939 0.173123i
\(121\) −16.6274 + 9.59983i −1.51158 + 0.872712i
\(122\) −5.57336 5.57336i −0.504588 0.504588i
\(123\) −14.1480 5.74391i −1.27568 0.517911i
\(124\) 0.857586 3.20055i 0.0770135 0.287418i
\(125\) 8.60621 8.60621i 0.769763 0.769763i
\(126\) −2.88656 + 0.817188i −0.257155 + 0.0728009i
\(127\) −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 \(-0.802122\pi\)
0.812918 0.582379i \(-0.197878\pi\)
\(132\) −1.30881 9.42794i −0.113918 0.820597i
\(133\) −3.26367 + 5.65284i −0.282996 + 0.490163i
\(134\) 5.51624 + 9.55441i 0.476531 + 0.825375i
\(135\) 8.63646 3.79300i 0.743309 0.326450i
\(136\) −7.64110 2.04743i −0.655219 0.175565i
\(137\) 11.0797 + 2.96881i 0.946606 + 0.253642i 0.698921 0.715199i \(-0.253664\pi\)
0.247684 + 0.968841i \(0.420330\pi\)
\(138\) 6.39476 4.97880i 0.544358 0.423824i
\(139\) −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
\(141\) 17.8219 2.47408i 1.50087 0.208355i
\(142\) 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
\(147\) 0.674078 + 1.59550i 0.0555971 + 0.131595i
\(148\) 1.33799 1.33799i 0.109982 0.109982i
\(149\) −0.123454 + 0.460735i −0.0101137 + 0.0377449i −0.970798 0.239897i \(-0.922886\pi\)
0.960685 + 0.277642i \(0.0895529\pi\)
\(150\) −1.11063 + 2.73562i −0.0906825 + 0.223363i
\(151\) −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
\(153\) 16.5430 17.0157i 1.33742 1.37564i
\(154\) −5.30817 + 1.42232i −0.427744 + 0.114614i
\(155\) 6.01498 0.483135
\(156\) −5.64240 2.67644i −0.451753 0.214287i
\(157\) −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
\(159\) −2.86899 + 3.79396i −0.227526 + 0.300881i
\(160\) 1.57211 0.907660i 0.124286 0.0717568i
\(161\) −3.30861 3.30861i −0.260755 0.260755i
\(162\) −6.18221 + 6.54066i −0.485721 + 0.513883i
\(163\) −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
\(165\) 15.9166 6.72457i 1.23911 0.523507i
\(166\) −14.0490 8.11120i −1.09041 0.629551i
\(167\) 3.46756 + 12.9411i 0.268328 + 1.00141i 0.960182 + 0.279376i \(0.0901277\pi\)
−0.691854 + 0.722038i \(0.743206\pi\)
\(168\) 0.213981 1.71878i 0.0165090 0.132607i
\(169\) 10.4419 + 7.74383i 0.803222 + 0.595679i
\(170\) 14.3603i 1.10139i
\(171\) 0.275765 + 19.5801i 0.0210882 + 1.49732i
\(172\) −3.17501 + 5.49929i −0.242093 + 0.419317i
\(173\) −5.40274 9.35783i −0.410763 0.711463i 0.584210 0.811602i \(-0.301404\pi\)
−0.994973 + 0.100140i \(0.968071\pi\)
\(174\) 1.22133 + 1.56867i 0.0925886 + 0.118921i
\(175\) 1.64653 + 0.441187i 0.124466 + 0.0333506i
\(176\) 5.30817 + 1.42232i 0.400118 + 0.107211i
\(177\) −5.77057 7.41170i −0.433742 0.557097i
\(178\) 5.96642 + 10.3341i 0.447202 + 0.774577i
\(179\) 3.47073 6.01149i 0.259415 0.449320i −0.706670 0.707543i \(-0.749804\pi\)
0.966085 + 0.258223i \(0.0831370\pi\)
\(180\) 0.0766930 + 5.44542i 0.00571636 + 0.405878i
\(181\) 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
\(186\) −5.28662 + 2.23353i −0.387634 + 0.163770i
\(187\) 30.7396 30.7396i 2.24790 2.24790i
\(188\) −2.68865 + 10.0342i −0.196090 + 0.731816i
\(189\) 4.18828 + 3.07543i 0.304653 + 0.223705i
\(190\) 8.37865 + 8.37865i 0.607851 + 0.607851i
\(191\) −2.01605 + 1.16397i −0.145876 + 0.0842218i −0.571162 0.820838i \(-0.693507\pi\)
0.425285 + 0.905059i \(0.360174\pi\)
\(192\) −1.04470 + 1.38152i −0.0753950 + 0.0997025i
\(193\) 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
\(195\) 2.04203 11.1512i 0.146233 0.798557i
\(196\) −1.00000 −0.0714286
\(197\) 25.5999 6.85947i 1.82392 0.488717i 0.826657 0.562706i \(-0.190240\pi\)
0.997259 + 0.0739889i \(0.0235729\pi\)
\(198\) −11.4922 + 11.8206i −0.816717 + 0.840051i
\(199\) 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
\(201\) 7.18813 17.7053i 0.507012 1.24884i
\(202\) −0.712424 + 2.65880i −0.0501260 + 0.187073i
\(203\) 0.811620 0.811620i 0.0569646 0.0569646i
\(204\) 5.33239 + 12.6214i 0.373342 + 0.883677i
\(205\) 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
\(210\) 3.11436 0.432344i 0.214911 0.0298346i
\(211\) 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
\(213\) −8.92928 + 6.95212i −0.611824 + 0.476352i
\(214\) 0.688642 + 0.184521i 0.0470746 + 0.0126136i
\(215\) −11.1345 2.98349i −0.759370 0.203473i
\(216\) −2.08944 4.75755i −0.142168 0.323710i
\(217\) 1.65673 + 2.86954i 0.112466 + 0.194797i
\(218\) −2.89844 + 5.02024i −0.196307 + 0.340013i
\(219\) 0.714881 + 5.14959i 0.0483072 + 0.347977i
\(220\) 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
\(225\) 4.92047 1.39299i 0.328031 0.0928661i
\(226\) −1.05999 + 1.05999i −0.0705096 + 0.0705096i
\(227\) −2.19126 + 8.17790i −0.145439 + 0.542786i 0.854296 + 0.519786i \(0.173988\pi\)
−0.999735 + 0.0229998i \(0.992678\pi\)
\(228\) −10.4753 4.25284i −0.693743 0.281651i
\(229\) 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
\(231\) 7.59203 + 5.74109i 0.499519 + 0.377736i
\(232\) −1.10869 + 0.297074i −0.0727893 + 0.0195038i
\(233\) 6.34880 0.415924 0.207962 0.978137i \(-0.433317\pi\)
0.207962 + 0.978137i \(0.433317\pi\)
\(234\) 2.34601 + 10.5592i 0.153364 + 0.690275i
\(235\) −18.8578 −1.23015
\(236\) 5.23839 1.40362i 0.340990 0.0913681i
\(237\) −0.772544 0.584197i −0.0501821 0.0379477i
\(238\) 6.85082 3.95532i 0.444073 0.256385i
\(239\) −8.03317 8.03317i −0.519623 0.519623i 0.397834 0.917457i \(-0.369762\pi\)
−0.917457 + 0.397834i \(0.869762\pi\)
\(240\) −2.91329 1.18276i −0.188052 0.0763467i
\(241\) −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
\(243\) 15.5171 + 1.48942i 0.995425 + 0.0955462i
\(244\) −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
\(249\) 3.86360 + 27.8311i 0.244845 + 1.76373i
\(250\) 6.08551 10.5404i 0.384881 0.666634i
\(251\) −10.5065 18.1978i −0.663166 1.14864i −0.979779 0.200083i \(-0.935879\pi\)
0.316613 0.948555i \(-0.397454\pi\)
\(252\) −2.57669 + 1.53644i −0.162317 + 0.0967865i
\(253\) −24.8374 6.65515i −1.56151 0.418406i
\(254\) −12.6801 3.39763i −0.795623 0.213186i
\(255\) −19.6258 + 15.2802i −1.22902 + 0.956884i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −5.08238 + 8.80295i −0.317030 + 0.549113i −0.979867 0.199651i \(-0.936019\pi\)
0.662837 + 0.748764i \(0.269352\pi\)
\(258\) 10.8941 1.51235i 0.678237 0.0941548i
\(259\) 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 −0.0690387 0.997614i \(-0.521993\pi\)
−0.898478 + 0.439018i \(0.855327\pi\)
\(264\) −3.70435 8.76794i −0.227987 0.539629i
\(265\) 3.52512 3.52512i 0.216547 0.216547i
\(266\) −1.68940 + 6.30492i −0.103584 + 0.386579i
\(267\) 7.77476 19.1502i 0.475808 1.17198i
\(268\) 7.80114 + 7.80114i 0.476531 + 0.476531i
\(269\) −4.00185 + 2.31047i −0.243997 + 0.140872i −0.617012 0.786953i \(-0.711657\pi\)
0.373015 + 0.927825i \(0.378324\pi\)
\(270\) 7.36048 5.89904i 0.447945 0.359004i
\(271\) −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
\(273\) 5.88231 2.09725i 0.356014 0.126931i
\(274\) 11.4706 0.692963
\(275\) 9.04839 2.42451i 0.545638 0.146203i
\(276\) 4.88825 6.46424i 0.294238 0.389101i
\(277\) 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
\(279\) 8.67775 + 4.84846i 0.519524 + 0.290270i
\(280\) −0.469839 + 1.75346i −0.0280783 + 0.104790i
\(281\) 7.06261 7.06261i 0.421320 0.421320i −0.464338 0.885658i \(-0.653708\pi\)
0.885658 + 0.464338i \(0.153708\pi\)
\(282\) 16.5742 7.00241i 0.986982 0.416988i
\(283\) −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
\(288\) 2.99970 0.0422477i 0.176759 0.00248947i
\(289\) −22.7891 + 39.4720i −1.34054 + 2.32188i
\(290\) −1.04182 1.80448i −0.0611775 0.105963i
\(291\) 15.4371 + 19.8274i 0.904940 + 1.16230i
\(292\) −2.89935 0.776879i −0.169672 0.0454634i
\(293\) −10.4220 2.79256i −0.608857 0.163143i −0.0588001 0.998270i \(-0.518727\pi\)
−0.550057 + 0.835127i \(0.685394\pi\)
\(294\) 1.06406 + 1.36667i 0.0620570 + 0.0797058i
\(295\) 4.92240 + 8.52585i 0.286593 + 0.496394i
\(296\) 0.946100 1.63869i 0.0549910 0.0952471i
\(297\) 28.3832 + 3.12834i 1.64696 + 0.181525i
\(298\) 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
\(303\) 4.39177 1.85547i 0.252300 0.106594i
\(304\) 4.61552 4.61552i 0.264718 0.264718i
\(305\) 3.70323 13.8207i 0.212047 0.791369i
\(306\) 11.5754 20.7175i 0.661719 1.18434i
\(307\) 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
\(309\) −10.6289 + 14.0557i −0.604656 + 0.799599i
\(310\) 5.81003 1.55679i 0.329987 0.0884199i
\(311\) 21.3065 1.20818 0.604091 0.796916i \(-0.293536\pi\)
0.604091 + 0.796916i \(0.293536\pi\)
\(312\) −6.14285 1.12489i −0.347771 0.0636841i
\(313\) 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
\(315\) −3.90472 3.79626i −0.220006 0.213895i
\(316\) 0.484280 0.279599i 0.0272429 0.0157287i
\(317\) −1.45164 1.45164i −0.0815321 0.0815321i 0.665165 0.746697i \(-0.268361\pi\)
−0.746697 + 0.665165i \(0.768361\pi\)
\(318\) −1.78928 + 4.40723i −0.100338 + 0.247145i
\(319\) 1.63255 6.09274i 0.0914050 0.341128i
\(320\) 1.28362 1.28362i 0.0717568 0.0717568i
\(321\) −0.480574 1.13749i −0.0268230 0.0634883i
\(322\) −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
\(327\) 9.94510 1.38061i 0.549965 0.0763478i
\(328\) 4.40793 7.63476i 0.243387 0.421559i
\(329\) −5.19406 8.99638i −0.286358 0.495987i
\(330\) 13.6338 10.6150i 0.750517 0.584334i
\(331\) −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
\(333\) 2.90725 + 4.87562i 0.159316 + 0.267182i
\(334\) 6.69882 + 11.6027i 0.366543 + 0.634871i
\(335\) −10.0137 + 17.3443i −0.547109 + 0.947621i
\(336\) −0.238164 1.71560i −0.0129929 0.0935936i
\(337\) 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
\(342\) 5.33406 + 18.8415i 0.288433 + 1.01883i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) −1.64351 + 6.13366i −0.0886120 + 0.330705i
\(345\) 13.6315 + 5.53422i 0.733895 + 0.297953i
\(346\) −7.64063 7.64063i −0.410763 0.410763i
\(347\) 7.32984 4.23188i 0.393486 0.227179i −0.290183 0.956971i \(-0.593716\pi\)
0.683670 + 0.729792i \(0.260383\pi\)
\(348\) 1.58571 + 1.19912i 0.0850032 + 0.0642794i
\(349\) −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
\(351\) 11.9346 14.4418i 0.637023 0.770845i
\(352\) 5.49542 0.292907
\(353\) 11.6530 3.12242i 0.620228 0.166190i 0.0649966 0.997885i \(-0.479296\pi\)
0.555231 + 0.831696i \(0.312630\pi\)
\(354\) −7.49223 5.66562i −0.398207 0.301124i
\(355\) 10.2716 5.93029i 0.545158 0.314747i
\(356\) 8.43780 + 8.43780i 0.447202 + 0.447202i
\(357\) −12.6953 5.15412i −0.671905 0.272785i
\(358\) 1.79658 6.70494i 0.0949524 0.354367i
\(359\) −15.3078 + 15.3078i −0.807913 + 0.807913i −0.984318 0.176405i \(-0.943553\pi\)
0.176405 + 0.984318i \(0.443553\pi\)
\(360\) 1.48346 + 5.24002i 0.0781851 + 0.276173i
\(361\) 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
\(366\) 1.87719 + 13.5222i 0.0981223 + 0.706817i
\(367\) −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
\(369\) 13.5450 + 22.7158i 0.705126 + 1.18254i
\(370\) 3.31791 + 0.889030i 0.172490 + 0.0462185i
\(371\) 2.65265 + 0.710775i 0.137719 + 0.0369016i
\(372\) −4.52840 + 3.52570i −0.234787 + 0.182799i
\(373\) −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
\(375\) −20.8806 + 2.89870i −1.07827 + 0.149688i
\(376\) 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
\(381\) 8.84893 + 20.9448i 0.453344 + 1.07304i
\(382\) −1.64610 + 1.64610i −0.0842218 + 0.0842218i
\(383\) 1.98302 7.40072i 0.101327 0.378159i −0.896575 0.442891i \(-0.853953\pi\)
0.997903 + 0.0647325i \(0.0206194\pi\)
\(384\) −0.651543 + 1.60483i −0.0332489 + 0.0818963i
\(385\) −7.05406 7.05406i −0.359508 0.359508i
\(386\) 6.99648 4.03942i 0.356111 0.205601i
\(387\) −13.6588 13.2794i −0.694316 0.675031i
\(388\) −14.0135 + 3.75490i −0.711426 + 0.190626i
\(389\) 15.2721 0.774324 0.387162 0.922012i \(-0.373455\pi\)
0.387162 + 0.922012i \(0.373455\pi\)
\(390\) −0.913707 11.2998i −0.0462674 0.572187i
\(391\) 37.0145 1.87191
\(392\) −0.965926 + 0.258819i −0.0487866 + 0.0130723i
\(393\) −13.9272 + 18.4174i −0.702535 + 0.929034i
\(394\) 22.9522 13.2515i 1.15632 0.667600i
\(395\) 0.717801 + 0.717801i 0.0361165 + 0.0361165i
\(396\) −8.04125 + 14.3922i −0.404088 + 0.723235i
\(397\) 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
\(399\) 10.4144 4.39993i 0.521370 0.220272i
\(400\) −1.47624 0.852308i −0.0738120 0.0426154i
\(401\) −7.63320 28.4875i −0.381184 1.42260i −0.844095 0.536193i \(-0.819862\pi\)
0.462912 0.886404i \(-0.346805\pi\)
\(402\) 2.36074 18.9624i 0.117743 0.945760i
\(403\) 10.6711 5.37157i 0.531567 0.267577i
\(404\) 2.75260i 0.136947i
\(405\) −15.8940 3.78244i −0.789779 0.187951i
\(406\) 0.573902 0.994028i 0.0284823 0.0493328i
\(407\) 5.19922 + 9.00531i 0.257716 + 0.446377i
\(408\) 8.41736 + 10.8112i 0.416722 + 0.535236i
\(409\) 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
\(411\) −12.2053 15.6765i −0.602045 0.773265i
\(412\) −5.08703 8.81100i −0.250620 0.434087i
\(413\) −2.71159 + 4.69661i −0.133429 + 0.231105i
\(414\) −14.0358 + 0.197680i −0.689824 + 0.00971545i
\(415\) 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 0.444461 0.895798i \(-0.353395\pi\)
−0.553553 + 0.832814i \(0.686729\pi\)
\(420\) 2.89634 1.22367i 0.141327 0.0597089i
\(421\) −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
\(423\) −27.2059 15.2006i −1.32280 0.739077i
\(424\) −1.94187 1.94187i −0.0943057 0.0943057i
\(425\) −11.6780 + 6.74230i −0.566467 + 0.327050i
\(426\) −6.82568 + 9.02630i −0.330706 + 0.437326i
\(427\) 7.61335 2.03999i 0.368436 0.0987220i
\(428\) 0.712935 0.0344610
\(429\) 22.2323 26.1440i 1.07339 1.26225i
\(430\) −11.5273 −0.555897
\(431\) −26.0777 + 6.98751i −1.25612 + 0.336576i −0.824698 0.565574i \(-0.808655\pi\)
−0.431422 + 0.902150i \(0.641988\pi\)
\(432\) −3.24959 4.05465i −0.156346 0.195079i
\(433\) 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
\(435\) −1.35758 + 3.34388i −0.0650908 + 0.160327i
\(436\) −1.50034 + 5.59935i −0.0718533 + 0.268160i
\(437\) −21.5964 + 21.5964i −1.03310 + 1.03310i
\(438\) 2.02333 + 4.78910i 0.0966787 + 0.228832i
\(439\) −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 \(0.324508\pi\)
−0.523815 + 0.851832i \(0.675492\pi\)
\(444\) −3.24626 + 0.450654i −0.154060 + 0.0213871i
\(445\) −10.8310 + 18.7598i −0.513437 + 0.889299i
\(446\) 3.02163 + 5.23361i 0.143078 + 0.247819i
\(447\) 0.651885 0.507542i 0.0308331 0.0240059i
\(448\) 0.965926 + 0.258819i 0.0456357 + 0.0122281i
\(449\) 16.1036 + 4.31494i 0.759974 + 0.203634i 0.617938 0.786227i \(-0.287968\pi\)
0.142036 + 0.989861i \(0.454635\pi\)
\(450\) 4.39227 2.61904i 0.207054 0.123463i
\(451\) 24.2234 + 41.9562i 1.14064 + 1.97564i
\(452\) −0.749527 + 1.29822i −0.0352548 + 0.0610631i
\(453\) 1.81531 + 13.0764i 0.0852906 + 0.614384i
\(454\) 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
\(459\) −40.6308 + 6.22490i −1.89648 + 0.290553i
\(460\) −6.00618 + 6.00618i −0.280040 + 0.280040i
\(461\) −4.01311 + 14.9771i −0.186909 + 0.697554i 0.807305 + 0.590135i \(0.200925\pi\)
−0.994214 + 0.107420i \(0.965741\pi\)
\(462\) 8.81924 + 3.58050i 0.410308 + 0.166580i
\(463\) −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
\(465\) −8.30981 6.28388i −0.385358 0.291408i
\(466\) 6.13247 1.64319i 0.284081 0.0761193i
\(467\) −3.99462 −0.184849 −0.0924245 0.995720i \(-0.529462\pi\)
−0.0924245 + 0.995720i \(0.529462\pi\)
\(468\) 4.99899 + 9.59219i 0.231078 + 0.443399i
\(469\) −11.0325 −0.509433
\(470\) −18.2152 + 4.88075i −0.840205 + 0.225132i
\(471\) 28.6016 + 21.6285i 1.31789 + 0.996591i
\(472\) 4.69661 2.71159i 0.216179 0.124811i
\(473\) −24.6753 24.6753i −1.13457 1.13457i
\(474\) −0.897421 0.364342i −0.0412199 0.0167348i
\(475\) 2.87977 10.7475i 0.132133 0.493127i
\(476\) 5.59367 5.59367i 0.256385 0.256385i
\(477\) 7.92713 2.24418i 0.362958 0.102754i
\(478\) −9.83859 5.68031i −0.450007 0.259811i
\(479\) 6.22647 + 23.2375i 0.284495 + 1.06175i 0.949208 + 0.314650i \(0.101887\pi\)
−0.664713 + 0.747099i \(0.731446\pi\)
\(480\) −3.12014 0.388443i −0.142414 0.0177299i
\(481\) 6.81125 + 0.390413i 0.310566 + 0.0178013i
\(482\) 9.44629i 0.430267i
\(483\) 1.11439 + 8.02742i 0.0507065 + 0.365260i
\(484\) −9.59983 + 16.6274i −0.436356 + 0.755790i
\(485\) −13.1682 22.8079i −0.597935 1.03565i
\(486\) 15.3739 2.57746i 0.697374 0.116916i
\(487\) 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
\(489\) 0.667427 0.519643i 0.0301821 0.0234991i
\(490\) −0.907660 1.57211i −0.0410039 0.0710208i
\(491\) 14.1855 24.5700i 0.640182 1.10883i −0.345210 0.938526i \(-0.612192\pi\)
0.985392 0.170303i \(-0.0544745\pi\)
\(492\) −15.1245 + 2.09962i −0.681864 + 0.0946583i
\(493\) 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
\(498\) 10.9352 + 25.8828i 0.490017 + 1.15984i
\(499\) −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
\(501\) 8.72914 21.5010i 0.389989 0.960593i
\(502\) −14.8585 14.8585i −0.663166 0.663166i
\(503\) −12.8930 + 7.44375i −0.574868 + 0.331900i −0.759091 0.650984i \(-0.774356\pi\)
0.184223 + 0.982884i \(0.441023\pi\)
\(504\) −2.09124 + 2.15098i −0.0931511 + 0.0958124i
\(505\) −4.82658 + 1.29328i −0.214780 + 0.0575501i
\(506\) −25.7135 −1.14311
\(507\) −6.33566 21.6069i −0.281377 0.959597i
\(508\) −13.1274 −0.582436
\(509\) −15.6508 + 4.19361i −0.693709 + 0.185879i −0.588411 0.808562i \(-0.700246\pi\)
−0.105298 + 0.994441i \(0.533580\pi\)
\(510\) −15.0023 + 19.8391i −0.664313 + 0.878490i
\(511\) 2.59949 1.50082i 0.114995 0.0663922i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 20.0744 27.3383i 0.886306 1.20702i
\(514\) −2.63083 + 9.81841i −0.116041 + 0.433071i
\(515\) 13.0597 13.0597i 0.575478 0.575478i
\(516\) 10.1315 4.28042i 0.446013 0.188435i
\(517\) −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 \(-0.859777\pi\)
0.904528 0.426413i \(-0.140223\pi\)
\(522\) −0.0484921 3.44307i −0.00212244 0.150699i
\(523\) −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
\(525\) −1.81380 2.32965i −0.0791609 0.101674i
\(526\) −17.5005 4.68924i −0.763057 0.204460i
\(527\) −25.3184 6.78406i −1.10289 0.295518i
\(528\) −5.84743 7.51043i −0.254477 0.326849i
\(529\) 0.553102 + 0.958002i 0.0240479 + 0.0416522i
\(530\) 2.49264 4.31738i 0.108273 0.187535i
\(531\) 0.229117 + 16.2679i 0.00994282 + 0.705968i
\(532\) 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
\(537\) −11.0751 + 4.67909i −0.477926 + 0.201918i
\(538\) −3.26750 + 3.26750i −0.140872 + 0.140872i
\(539\) 1.42232 5.30817i 0.0612636 0.228639i
\(540\) 5.58290 7.60307i 0.240250 0.327184i
\(541\) 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
\(543\) −17.7611 + 23.4873i −0.762200 + 1.00793i
\(544\) −7.64110 + 2.04743i −0.327609 + 0.0877826i
\(545\) −10.5232 −0.450763
\(546\) 5.13907 3.54824i 0.219932 0.151851i
\(547\) 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
\(549\) 16.4830 16.9539i 0.703475 0.723574i
\(550\) 8.11256 4.68379i 0.345921 0.199717i
\(551\) −5.29772 5.29772i −0.225690 0.225690i
\(552\) 3.04862 7.50915i 0.129758 0.319611i
\(553\) −0.144731 + 0.540145i −0.00615460 + 0.0229693i
\(554\) 13.9863 13.9863i 0.594220 0.594220i
\(555\) −2.31542 5.48046i −0.0982843 0.232632i
\(556\) −0.934945 0.539791i −0.0396505 0.0228922i
\(557\) 1.48980 + 5.56000i 0.0631248 + 0.235585i 0.990279 0.139095i \(-0.0444193\pi\)
−0.927154 + 0.374680i \(0.877753\pi\)
\(558\) 9.63694 + 2.43729i 0.407964 + 0.103179i
\(559\) −22.4181 + 4.65050i −0.948184 + 0.196695i
\(560\) 1.81532i 0.0767113i
\(561\) −74.5810 + 10.3536i −3.14881 + 0.437127i
\(562\) 4.99402 8.64990i 0.210660 0.364874i
\(563\) 1.81159 + 3.13777i 0.0763495 + 0.132241i 0.901672 0.432420i \(-0.142340\pi\)
−0.825323 + 0.564661i \(0.809007\pi\)
\(564\) 14.1971 11.0535i 0.597807 0.465438i
\(565\) −2.62854 0.704314i −0.110583 0.0296307i
\(566\) −3.06341 0.820839i −0.128765 0.0345024i
\(567\) −2.57327 8.62428i −0.108067 0.362186i
\(568\) −3.26680 5.65827i −0.137072 0.237416i
\(569\) −4.40720 + 7.63350i −0.184759 + 0.320013i −0.943495 0.331386i \(-0.892484\pi\)
0.758736 + 0.651398i \(0.225817\pi\)
\(570\) −2.82205 20.3285i −0.118203 0.851465i
\(571\) 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
\(576\) 2.88656 0.817188i 0.120273 0.0340495i
\(577\) 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
\(579\) −12.9652 5.26371i −0.538815 0.218752i
\(580\) −1.47335 1.47335i −0.0611775 0.0611775i
\(581\) 14.0490 8.11120i 0.582851 0.336509i
\(582\) 20.0428 + 15.1564i 0.830801 + 0.628251i
\(583\) 14.5774 3.90601i 0.603735 0.161770i
\(584\) −3.00163 −0.124208
\(585\) −14.4708 + 13.2723i −0.598296 + 0.548743i
\(586\) −10.7896 −0.445714
\(587\) −16.8416 + 4.51270i −0.695129 + 0.186259i −0.589048 0.808098i \(-0.700497\pi\)
−0.106081 + 0.994357i \(0.533830\pi\)
\(588\) 1.38152 + 1.04470i 0.0569729 + 0.0430829i
\(589\) 18.7304 10.8140i 0.771774 0.445584i
\(590\) 6.96133 + 6.96133i 0.286593 + 0.286593i
\(591\) −42.5328 17.2678i −1.74957 0.710303i
\(592\) 0.489737 1.82773i 0.0201281 0.0751190i
\(593\) 4.18904 4.18904i 0.172023 0.172023i −0.615844 0.787868i \(-0.711185\pi\)
0.787868 + 0.615844i \(0.211185\pi\)
\(594\) 28.2257 4.32436i 1.15811 0.177431i
\(595\) 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 \(0.241239\pi\)
−0.726299 + 0.687379i \(0.758761\pi\)
\(600\) 0.405978 + 2.92443i 0.0165740 + 0.119390i
\(601\) −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
\(603\) −28.4273 + 16.9507i −1.15765 + 0.690287i
\(604\) −7.36237 1.97274i −0.299570 0.0802697i
\(605\) −33.6659 9.02075i −1.36871 0.366746i
\(606\) 3.76189 2.92892i 0.152816 0.118979i
\(607\) 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
\(609\) −1.96917 + 0.273366i −0.0797949 + 0.0110773i
\(610\) 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
\(615\) −10.7877 25.5337i −0.435001 1.02962i
\(616\) −3.88585 + 3.88585i −0.156565 + 0.156565i
\(617\) −1.56573 + 5.84339i −0.0630340 + 0.235246i −0.990254 0.139270i \(-0.955524\pi\)
0.927220 + 0.374516i \(0.122191\pi\)
\(618\) −6.62884 + 16.3277i −0.266651 + 0.656796i
\(619\) −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
\(621\) 15.2051 + 18.9720i 0.610159 + 0.761321i
\(622\) 20.5805 5.51453i 0.825203 0.221113i
\(623\) −11.9328 −0.478079
\(624\) −6.22468 + 0.503331i −0.249187 + 0.0201494i
\(625\) 13.5712 0.542849
\(626\) 21.7415 5.82562i 0.868965 0.232838i
\(627\) 37.4740 49.5557i 1.49657 1.97906i
\(628\) −17.9294 + 10.3515i −0.715459 + 0.413071i
\(629\) −10.5843 10.5843i −0.422025 0.422025i
\(630\) −4.75422 2.65629i −0.189413 0.105829i
\(631\) −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
\(633\) −25.3555 + 10.7124i −1.00779 + 0.425780i
\(634\) −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
\(639\) 19.5989 0.276030i 0.775320 0.0109196i
\(640\) 0.907660 1.57211i 0.0358784 0.0621432i
\(641\) 3.24392 + 5.61864i 0.128127 + 0.221923i 0.922951 0.384917i \(-0.125770\pi\)
−0.794824 + 0.606840i \(0.792437\pi\)
\(642\) −0.758602 0.974346i −0.0299396 0.0384544i
\(643\) −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
\(645\) 12.2657 + 15.7541i 0.482962 + 0.620315i
\(646\) −25.8177 44.7176i −1.01578 1.75939i
\(647\) 11.8424 20.5117i 0.465574 0.806397i −0.533654 0.845703i \(-0.679181\pi\)
0.999227 + 0.0393061i \(0.0125147\pi\)
\(648\) −2.08362 + 8.75548i −0.0818524 + 0.343948i
\(649\) 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 0.975387 0.220499i \(-0.0707685\pi\)
0.296736 + 0.954959i \(0.404102\pi\)
\(654\) 9.24891 3.90755i 0.361661 0.152797i
\(655\) 17.1123 17.1123i 0.668634 0.668634i
\(656\) 2.28171 8.51546i 0.0890859 0.332473i
\(657\) 4.39218 7.86110i 0.171355 0.306691i
\(658\) −7.34551 7.34551i −0.286358 0.286358i
\(659\) 23.1197 13.3482i 0.900618 0.519972i 0.0232170 0.999730i \(-0.492609\pi\)
0.877400 + 0.479759i \(0.159276\pi\)
\(660\) 10.4219 13.7820i 0.405672 0.536462i
\(661\) −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
\(663\) −21.1724 + 44.6350i −0.822267 + 1.73348i
\(664\) −16.2224 −0.629551
\(665\) −11.4454 + 3.06680i −0.443835 + 0.118925i
\(666\) 4.07009 + 3.95704i 0.157713 + 0.153332i
\(667\) 4.65114 2.68534i 0.180093 0.103977i
\(668\) 9.47356 + 9.47356i 0.366543 + 0.366543i
\(669\) 3.93744 9.69842i 0.152230 0.374963i
\(670\) −5.18349 + 19.3451i −0.200256 + 0.747365i
\(671\) 30.6279 30.6279i 1.18238 1.18238i
\(672\) −0.674078 1.59550i −0.0260031 0.0615477i
\(673\) −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 \(0.214013\pi\)
−0.782366 + 0.622819i \(0.785987\pi\)
\(678\) 2.57177 0.357021i 0.0987684 0.0137113i
\(679\) 7.25390 12.5641i 0.278379 0.482167i
\(680\) −7.18017 12.4364i −0.275347 0.476915i
\(681\) 11.5707 9.00870i 0.443392 0.345214i
\(682\) 17.5884 + 4.71280i 0.673494 + 0.180462i
\(683\) 29.0808 + 7.79217i 1.11274 + 0.298159i 0.767944 0.640517i \(-0.221280\pi\)
0.344801 + 0.938676i \(0.387947\pi\)
\(684\) 10.0288 + 16.8189i 0.383463 + 0.643088i
\(685\) 10.4114 + 18.0331i 0.397799 + 0.689008i
\(686\) 0.500000 0.866025i 0.0190901 0.0330650i
\(687\) −0.164469 1.18474i −0.00627490 0.0452008i
\(688\) 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
\(693\) −4.49079 15.8628i −0.170591 0.602579i
\(694\) 5.98479 5.98479i 0.227179 0.227179i
\(695\) 0.507230 1.89301i 0.0192403 0.0718059i
\(696\) 1.84204 + 0.747844i 0.0698222 + 0.0283470i
\(697\) −49.3130 49.3130i −1.86786 1.86786i
\(698\) −26.7188 + 15.4261i −1.01132 + 0.583887i
\(699\) −8.77098 6.63261i −0.331749 0.250868i
\(700\) 1.64653 0.441187i 0.0622330 0.0166753i
\(701\) 20.1374 0.760581 0.380290 0.924867i \(-0.375824\pi\)
0.380290 + 0.924867i \(0.375824\pi\)
\(702\) 7.79015 17.0386i 0.294020 0.643080i
\(703\) 12.3510 0.465828
\(704\) 5.30817 1.42232i 0.200059 0.0536057i
\(705\) 26.0524 + 19.7008i 0.981189 + 0.741974i
\(706\) 10.4478 6.03205i 0.393209 0.227019i
\(707\) −1.94638 1.94638i −0.0732011 0.0732011i
\(708\) −8.70331 3.53344i −0.327090 0.132795i
\(709\) 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
\(711\) 0.456971 + 1.61416i 0.0171377 + 0.0605357i
\(712\) 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
\(717\) 2.70569 + 19.4903i 0.101046 + 0.727877i
\(718\) −10.8242 + 18.7481i −0.403957 + 0.699673i
\(719\) 12.6851 + 21.9713i 0.473075 + 0.819390i 0.999525 0.0308161i \(-0.00981062\pi\)
−0.526450 + 0.850206i \(0.676477\pi\)
\(720\) 2.78913 + 4.67752i 0.103945 + 0.174321i
\(721\) 9.82739 + 2.63324i 0.365991 + 0.0980671i
\(722\) 22.8017 + 6.10970i 0.848592 + 0.227380i
\(723\) 12.9100 10.0514i 0.480127 0.373815i
\(724\) −8.50052 14.7233i −0.315919 0.547188i
\(725\) −0.978282 + 1.69443i −0.0363325 + 0.0629297i
\(726\) 32.9389 4.57267i 1.22248 0.169708i
\(727\) 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
\(732\) 5.31303 + 12.5756i 0.196375 + 0.464807i
\(733\) 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
\(735\) −1.18276 + 2.91329i −0.0436267 + 0.107458i
\(736\) 3.30861 + 3.30861i 0.121957 + 0.121957i
\(737\) −52.5055 + 30.3141i −1.93407 + 1.11663i
\(738\) 18.9628 + 18.4360i 0.698029 + 0.678640i
\(739\) 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
\(741\) −13.6894 38.3958i −0.502894 1.41050i
\(742\) 2.74622 0.100817
\(743\) −0.759466 + 0.203498i −0.0278621 + 0.00746563i −0.272723 0.962093i \(-0.587924\pi\)
0.244861 + 0.969558i \(0.421258\pi\)
\(744\) −3.46158 + 4.57760i −0.126908 + 0.167823i
\(745\) −0.749879 + 0.432943i −0.0274734 + 0.0158618i
\(746\) −9.78177 9.78177i −0.358136 0.358136i
\(747\) 23.7377 42.4855i 0.868515 1.55446i
\(748\) 11.2515 41.9910i 0.411394 1.53534i
\(749\) −0.504121 + 0.504121i −0.0184202 + 0.0184202i
\(750\) −19.4189 + 8.20422i −0.709076 + 0.299576i
\(751\) 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
\(756\) 5.16488 + 0.569264i 0.187845 + 0.0207039i
\(757\) −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
\(759\) 27.3606 + 35.1419i 0.993127 + 1.27557i
\(760\) 11.4454 + 3.06680i 0.415170 + 0.111244i
\(761\) 14.8093 + 3.96814i 0.536837 + 0.143845i 0.517043 0.855959i \(-0.327033\pi\)
0.0197932 + 0.999804i \(0.493699\pi\)
\(762\) 13.9683 + 17.9409i 0.506019 + 0.649930i
\(763\) −2.89844 5.02024i −0.104930 0.181745i
\(764\) −1.16397 + 2.01605i −0.0421109 + 0.0729382i
\(765\) 43.0768 0.606691i 1.55744 0.0219350i
\(766\) 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
\(771\) 16.2179 6.85185i 0.584073 0.246763i
\(772\) 5.71260 5.71260i 0.205601 0.205601i
\(773\) 9.33990 34.8570i 0.335933 1.25372i −0.566922 0.823772i \(-0.691866\pi\)
0.902854 0.429946i \(-0.141468\pi\)
\(774\) −16.6304