Properties

Label 273.2.by.c.202.8
Level $273$
Weight $2$
Character 273.202
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 202.8
Character \(\chi\) \(=\) 273.202
Dual form 273.2.by.c.223.8

$q$-expansion

\(f(q)\) \(=\) \(q+(2.37607 - 0.636667i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(3.50833 - 2.02554i) q^{4} +(0.498430 - 0.498430i) q^{5} +(-2.37607 - 0.636667i) q^{6} +(-2.12397 - 1.57758i) q^{7} +(3.56765 - 3.56765i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(2.37607 - 0.636667i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(3.50833 - 2.02554i) q^{4} +(0.498430 - 0.498430i) q^{5} +(-2.37607 - 0.636667i) q^{6} +(-2.12397 - 1.57758i) q^{7} +(3.56765 - 3.56765i) q^{8} +(0.500000 + 0.866025i) q^{9} +(0.866973 - 1.50164i) q^{10} +(0.184478 + 0.688480i) q^{11} -4.05107 q^{12} +(3.17894 + 1.70127i) q^{13} +(-6.05110 - 2.39618i) q^{14} +(-0.680869 + 0.182438i) q^{15} +(2.15452 - 3.73174i) q^{16} +(2.27300 + 3.93695i) q^{17} +(1.73941 + 1.73941i) q^{18} +(-3.25000 - 0.870835i) q^{19} +(0.739070 - 2.75825i) q^{20} +(1.05062 + 2.42821i) q^{21} +(0.876665 + 1.51843i) q^{22} +(-1.67026 - 0.964326i) q^{23} +(-4.87350 + 1.30585i) q^{24} +4.50313i q^{25} +(8.63655 + 2.01842i) q^{26} -1.00000i q^{27} +(-10.6470 - 1.23248i) q^{28} +(0.185925 - 0.322032i) q^{29} +(-1.50164 + 0.866973i) q^{30} +(-3.53994 + 3.53994i) q^{31} +(0.131724 - 0.491600i) q^{32} +(0.184478 - 0.688480i) q^{33} +(7.90735 + 7.90735i) q^{34} +(-1.84496 + 0.272339i) q^{35} +(3.50833 + 2.02554i) q^{36} +(-0.545727 - 2.03668i) q^{37} -8.27667 q^{38} +(-1.90241 - 3.06282i) q^{39} -3.55645i q^{40} +(-3.11983 - 11.6434i) q^{41} +(4.04232 + 5.10070i) q^{42} +(6.38504 - 3.68640i) q^{43} +(2.04175 + 2.04175i) q^{44} +(0.680869 + 0.182438i) q^{45} +(-4.58262 - 1.22791i) q^{46} +(3.55898 + 3.55898i) q^{47} +(-3.73174 + 2.15452i) q^{48} +(2.02250 + 6.70145i) q^{49} +(2.86700 + 10.6998i) q^{50} -4.54600i q^{51} +(14.5988 - 0.470438i) q^{52} -4.97712 q^{53} +(-0.636667 - 2.37607i) q^{54} +(0.435109 + 0.251210i) q^{55} +(-13.2058 + 1.94934i) q^{56} +(2.37916 + 2.37916i) q^{57} +(0.236745 - 0.883543i) q^{58} +(1.03416 - 3.85953i) q^{59} +(-2.01918 + 2.01918i) q^{60} +(-10.0720 + 5.81509i) q^{61} +(-6.15739 + 10.6649i) q^{62} +(0.304236 - 2.62820i) q^{63} +7.36614i q^{64} +(2.43245 - 0.736516i) q^{65} -1.75333i q^{66} +(-12.5870 + 3.37267i) q^{67} +(15.9489 + 9.20809i) q^{68} +(0.964326 + 1.67026i) q^{69} +(-4.21038 + 1.82173i) q^{70} +(2.10681 - 7.86274i) q^{71} +(4.87350 + 1.30585i) q^{72} +(-0.608899 - 0.608899i) q^{73} +(-2.59337 - 4.49186i) q^{74} +(2.25157 - 3.89983i) q^{75} +(-13.1660 + 3.52781i) q^{76} +(0.694305 - 1.75334i) q^{77} +(-6.47026 - 6.06627i) q^{78} +9.81537 q^{79} +(-0.786133 - 2.93389i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-14.8259 - 25.6792i) q^{82} +(2.25452 - 2.25452i) q^{83} +(8.60436 + 6.39088i) q^{84} +(3.09523 + 0.829364i) q^{85} +(12.8243 - 12.8243i) q^{86} +(-0.322032 + 0.185925i) q^{87} +(3.11441 + 1.79810i) q^{88} +(17.5524 - 4.70315i) q^{89} +1.73395 q^{90} +(-4.06809 - 8.62848i) q^{91} -7.81311 q^{92} +(4.83565 - 1.29571i) q^{93} +(10.7223 + 6.19052i) q^{94} +(-2.05395 + 1.18585i) q^{95} +(-0.359876 + 0.359876i) q^{96} +(-8.73810 - 2.34137i) q^{97} +(9.07221 + 14.6355i) q^{98} +(-0.504002 + 0.504002i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} - 2q^{10} - 4q^{11} - 32q^{12} - 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} + 8q^{17} + 2q^{18} - 2q^{19} - 44q^{20} + 2q^{21} - 4q^{22} - 18q^{23} - 4q^{24} + 28q^{26} - 18q^{28} - 18q^{29} + 14q^{31} - 8q^{32} - 4q^{33} + 66q^{34} - 20q^{35} + 6q^{36} - 24q^{37} - 24q^{38} + 8q^{39} + 16q^{42} - 6q^{43} - 20q^{44} - 4q^{45} - 58q^{46} + 28q^{47} + 60q^{48} + 10q^{49} + 70q^{50} - 28q^{52} - 80q^{53} + 4q^{54} - 60q^{55} - 120q^{56} + 16q^{57} - 4q^{58} + 42q^{59} - 58q^{60} - 36q^{61} - 52q^{62} + 2q^{63} + 14q^{65} + 26q^{67} + 72q^{68} - 2q^{69} + 68q^{70} - 4q^{71} + 4q^{72} - 12q^{73} - 18q^{74} - 16q^{75} + 48q^{76} - 28q^{77} - 14q^{78} - 4q^{79} + 98q^{80} - 16q^{81} - 20q^{82} + 36q^{83} + 32q^{84} - 10q^{85} - 40q^{86} + 96q^{88} + 54q^{89} - 4q^{90} - 54q^{91} - 4q^{92} + 2q^{93} + 60q^{95} - 22q^{96} + 40q^{97} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{11}{12}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.37607 0.636667i 1.68014 0.450192i 0.712322 0.701852i \(-0.247643\pi\)
0.967816 + 0.251661i \(0.0809767\pi\)
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) 3.50833 2.02554i 1.75417 1.01277i
\(5\) 0.498430 0.498430i 0.222905 0.222905i −0.586816 0.809721i \(-0.699619\pi\)
0.809721 + 0.586816i \(0.199619\pi\)
\(6\) −2.37607 0.636667i −0.970028 0.259918i
\(7\) −2.12397 1.57758i −0.802785 0.596268i
\(8\) 3.56765 3.56765i 1.26135 1.26135i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) 0.866973 1.50164i 0.274161 0.474861i
\(11\) 0.184478 + 0.688480i 0.0556221 + 0.207585i 0.988144 0.153528i \(-0.0490636\pi\)
−0.932522 + 0.361113i \(0.882397\pi\)
\(12\) −4.05107 −1.16944
\(13\) 3.17894 + 1.70127i 0.881680 + 0.471848i
\(14\) −6.05110 2.39618i −1.61723 0.640405i
\(15\) −0.680869 + 0.182438i −0.175799 + 0.0471053i
\(16\) 2.15452 3.73174i 0.538630 0.932934i
\(17\) 2.27300 + 3.93695i 0.551284 + 0.954852i 0.998182 + 0.0602669i \(0.0191952\pi\)
−0.446898 + 0.894585i \(0.647471\pi\)
\(18\) 1.73941 + 1.73941i 0.409982 + 0.409982i
\(19\) −3.25000 0.870835i −0.745601 0.199783i −0.134035 0.990977i \(-0.542793\pi\)
−0.611566 + 0.791193i \(0.709460\pi\)
\(20\) 0.739070 2.75825i 0.165261 0.616763i
\(21\) 1.05062 + 2.42821i 0.229265 + 0.529878i
\(22\) 0.876665 + 1.51843i 0.186906 + 0.323730i
\(23\) −1.67026 0.964326i −0.348274 0.201076i 0.315651 0.948875i \(-0.397777\pi\)
−0.663925 + 0.747799i \(0.731110\pi\)
\(24\) −4.87350 + 1.30585i −0.994799 + 0.266556i
\(25\) 4.50313i 0.900627i
\(26\) 8.63655 + 2.01842i 1.69377 + 0.395845i
\(27\) 1.00000i 0.192450i
\(28\) −10.6470 1.23248i −2.01210 0.232917i
\(29\) 0.185925 0.322032i 0.0345254 0.0597998i −0.848246 0.529602i \(-0.822341\pi\)
0.882772 + 0.469802i \(0.155675\pi\)
\(30\) −1.50164 + 0.866973i −0.274161 + 0.158287i
\(31\) −3.53994 + 3.53994i −0.635792 + 0.635792i −0.949515 0.313723i \(-0.898424\pi\)
0.313723 + 0.949515i \(0.398424\pi\)
\(32\) 0.131724 0.491600i 0.0232857 0.0869034i
\(33\) 0.184478 0.688480i 0.0321134 0.119849i
\(34\) 7.90735 + 7.90735i 1.35610 + 1.35610i
\(35\) −1.84496 + 0.272339i −0.311856 + 0.0460337i
\(36\) 3.50833 + 2.02554i 0.584722 + 0.337589i
\(37\) −0.545727 2.03668i −0.0897169 0.334828i 0.906449 0.422316i \(-0.138783\pi\)
−0.996166 + 0.0874879i \(0.972116\pi\)
\(38\) −8.27667 −1.34265
\(39\) −1.90241 3.06282i −0.304629 0.490443i
\(40\) 3.55645i 0.562324i
\(41\) −3.11983 11.6434i −0.487236 1.81839i −0.569776 0.821800i \(-0.692970\pi\)
0.0825406 0.996588i \(-0.473697\pi\)
\(42\) 4.04232 + 5.10070i 0.623743 + 0.787055i
\(43\) 6.38504 3.68640i 0.973709 0.562171i 0.0733440 0.997307i \(-0.476633\pi\)
0.900365 + 0.435136i \(0.143300\pi\)
\(44\) 2.04175 + 2.04175i 0.307805 + 0.307805i
\(45\) 0.680869 + 0.182438i 0.101498 + 0.0271963i
\(46\) −4.58262 1.22791i −0.675671 0.181045i
\(47\) 3.55898 + 3.55898i 0.519131 + 0.519131i 0.917308 0.398177i \(-0.130357\pi\)
−0.398177 + 0.917308i \(0.630357\pi\)
\(48\) −3.73174 + 2.15452i −0.538630 + 0.310978i
\(49\) 2.02250 + 6.70145i 0.288929 + 0.957351i
\(50\) 2.86700 + 10.6998i 0.405455 + 1.51318i
\(51\) 4.54600i 0.636568i
\(52\) 14.5988 0.470438i 2.02449 0.0652380i
\(53\) −4.97712 −0.683660 −0.341830 0.939762i \(-0.611047\pi\)
−0.341830 + 0.939762i \(0.611047\pi\)
\(54\) −0.636667 2.37607i −0.0866394 0.323343i
\(55\) 0.435109 + 0.251210i 0.0586700 + 0.0338732i
\(56\) −13.2058 + 1.94934i −1.76470 + 0.260492i
\(57\) 2.37916 + 2.37916i 0.315128 + 0.315128i
\(58\) 0.236745 0.883543i 0.0310861 0.116015i
\(59\) 1.03416 3.85953i 0.134636 0.502467i −0.865363 0.501145i \(-0.832912\pi\)
0.999999 0.00132252i \(-0.000420972\pi\)
\(60\) −2.01918 + 2.01918i −0.260675 + 0.260675i
\(61\) −10.0720 + 5.81509i −1.28959 + 0.744546i −0.978581 0.205860i \(-0.934001\pi\)
−0.311011 + 0.950406i \(0.600667\pi\)
\(62\) −6.15739 + 10.6649i −0.781990 + 1.35445i
\(63\) 0.304236 2.62820i 0.0383302 0.331122i
\(64\) 7.36614i 0.920767i
\(65\) 2.43245 0.736516i 0.301708 0.0913536i
\(66\) 1.75333i 0.215820i
\(67\) −12.5870 + 3.37267i −1.53774 + 0.412037i −0.925536 0.378660i \(-0.876385\pi\)
−0.612207 + 0.790697i \(0.709718\pi\)
\(68\) 15.9489 + 9.20809i 1.93409 + 1.11665i
\(69\) 0.964326 + 1.67026i 0.116091 + 0.201076i
\(70\) −4.21038 + 1.82173i −0.503237 + 0.217738i
\(71\) 2.10681 7.86274i 0.250033 0.933135i −0.720754 0.693191i \(-0.756204\pi\)
0.970787 0.239944i \(-0.0771291\pi\)
\(72\) 4.87350 + 1.30585i 0.574347 + 0.153896i
\(73\) −0.608899 0.608899i −0.0712663 0.0712663i 0.670575 0.741842i \(-0.266047\pi\)
−0.741842 + 0.670575i \(0.766047\pi\)
\(74\) −2.59337 4.49186i −0.301474 0.522168i
\(75\) 2.25157 3.89983i 0.259989 0.450313i
\(76\) −13.1660 + 3.52781i −1.51024 + 0.404668i
\(77\) 0.694305 1.75334i 0.0791234 0.199812i
\(78\) −6.47026 6.06627i −0.732612 0.686870i
\(79\) 9.81537 1.10432 0.552158 0.833740i \(-0.313805\pi\)
0.552158 + 0.833740i \(0.313805\pi\)
\(80\) −0.786133 2.93389i −0.0878924 0.328019i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) −14.8259 25.6792i −1.63725 2.83579i
\(83\) 2.25452 2.25452i 0.247465 0.247465i −0.572464 0.819930i \(-0.694012\pi\)
0.819930 + 0.572464i \(0.194012\pi\)
\(84\) 8.60436 + 6.39088i 0.938812 + 0.697302i
\(85\) 3.09523 + 0.829364i 0.335725 + 0.0899572i
\(86\) 12.8243 12.8243i 1.38288 1.38288i
\(87\) −0.322032 + 0.185925i −0.0345254 + 0.0199333i
\(88\) 3.11441 + 1.79810i 0.331997 + 0.191678i
\(89\) 17.5524 4.70315i 1.86055 0.498533i 0.860609 0.509266i \(-0.170083\pi\)
0.999942 + 0.0107329i \(0.00341645\pi\)
\(90\) 1.73395 0.182774
\(91\) −4.06809 8.62848i −0.426452 0.904510i
\(92\) −7.81311 −0.814573
\(93\) 4.83565 1.29571i 0.501433 0.134359i
\(94\) 10.7223 + 6.19052i 1.10592 + 0.638503i
\(95\) −2.05395 + 1.18585i −0.210731 + 0.121665i
\(96\) −0.359876 + 0.359876i −0.0367297 + 0.0367297i
\(97\) −8.73810 2.34137i −0.887220 0.237730i −0.213700 0.976899i \(-0.568552\pi\)
−0.673520 + 0.739169i \(0.735218\pi\)
\(98\) 9.07221 + 14.6355i 0.916432 + 1.47841i
\(99\) −0.504002 + 0.504002i −0.0506541 + 0.0506541i
\(100\) 9.12126 + 15.7985i 0.912126 + 1.57985i
\(101\) 6.77353 11.7321i 0.673991 1.16739i −0.302772 0.953063i \(-0.597912\pi\)
0.976763 0.214324i \(-0.0687547\pi\)
\(102\) −2.89429 10.8016i −0.286577 1.06952i
\(103\) −16.4565 −1.62151 −0.810756 0.585385i \(-0.800944\pi\)
−0.810756 + 0.585385i \(0.800944\pi\)
\(104\) 17.4109 5.27181i 1.70728 0.516943i
\(105\) 1.73396 + 0.686629i 0.169217 + 0.0670081i
\(106\) −11.8260 + 3.16877i −1.14864 + 0.307778i
\(107\) 8.35835 14.4771i 0.808033 1.39955i −0.106192 0.994346i \(-0.533866\pi\)
0.914225 0.405208i \(-0.132801\pi\)
\(108\) −2.02554 3.50833i −0.194907 0.337589i
\(109\) 1.77768 + 1.77768i 0.170271 + 0.170271i 0.787099 0.616827i \(-0.211582\pi\)
−0.616827 + 0.787099i \(0.711582\pi\)
\(110\) 1.19379 + 0.319874i 0.113823 + 0.0304988i
\(111\) −0.545727 + 2.03668i −0.0517981 + 0.193313i
\(112\) −10.4632 + 4.52718i −0.988683 + 0.427778i
\(113\) −2.96252 5.13124i −0.278691 0.482706i 0.692369 0.721544i \(-0.256567\pi\)
−0.971060 + 0.238837i \(0.923234\pi\)
\(114\) 7.16781 + 4.13833i 0.671326 + 0.387591i
\(115\) −1.31316 + 0.351860i −0.122453 + 0.0328111i
\(116\) 1.50639i 0.139865i
\(117\) 0.116127 + 3.60368i 0.0107359 + 0.333160i
\(118\) 9.82893i 0.904826i
\(119\) 1.38306 11.9478i 0.126785 1.09525i
\(120\) −1.77822 + 3.07997i −0.162329 + 0.281162i
\(121\) 9.08631 5.24598i 0.826028 0.476907i
\(122\) −20.2296 + 20.2296i −1.83150 + 1.83150i
\(123\) −3.11983 + 11.6434i −0.281306 + 1.04985i
\(124\) −5.24901 + 19.5896i −0.471375 + 1.75919i
\(125\) 4.73665 + 4.73665i 0.423659 + 0.423659i
\(126\) −0.950401 6.43850i −0.0846684 0.573587i
\(127\) −17.4169 10.0556i −1.54550 0.892293i −0.998477 0.0551724i \(-0.982429\pi\)
−0.547019 0.837120i \(-0.684238\pi\)
\(128\) 4.95322 + 18.4857i 0.437807 + 1.63392i
\(129\) −7.37281 −0.649139
\(130\) 5.31076 3.29868i 0.465784 0.289313i
\(131\) 12.0796i 1.05540i 0.849430 + 0.527702i \(0.176946\pi\)
−0.849430 + 0.527702i \(0.823054\pi\)
\(132\) −0.747332 2.78908i −0.0650469 0.242758i
\(133\) 5.52909 + 6.97675i 0.479433 + 0.604961i
\(134\) −27.7603 + 16.0274i −2.39813 + 1.38456i
\(135\) −0.498430 0.498430i −0.0428981 0.0428981i
\(136\) 22.1549 + 5.93640i 1.89977 + 0.509042i
\(137\) −13.9883 3.74816i −1.19510 0.320227i −0.394202 0.919024i \(-0.628979\pi\)
−0.800901 + 0.598797i \(0.795646\pi\)
\(138\) 3.35471 + 3.35471i 0.285572 + 0.285572i
\(139\) 6.95647 4.01632i 0.590040 0.340660i −0.175073 0.984555i \(-0.556016\pi\)
0.765113 + 0.643896i \(0.222683\pi\)
\(140\) −5.92111 + 4.69250i −0.500425 + 0.396588i
\(141\) −1.30268 4.86166i −0.109705 0.409426i
\(142\) 20.0238i 1.68036i
\(143\) −0.584848 + 2.50248i −0.0489074 + 0.209268i
\(144\) 4.30904 0.359087
\(145\) −0.0678396 0.253181i −0.00563378 0.0210255i
\(146\) −1.83446 1.05912i −0.151821 0.0876537i
\(147\) 1.59919 6.81488i 0.131899 0.562082i
\(148\) −6.03996 6.03996i −0.496481 0.496481i
\(149\) −2.13325 + 7.96140i −0.174763 + 0.652223i 0.821829 + 0.569734i \(0.192954\pi\)
−0.996592 + 0.0824894i \(0.973713\pi\)
\(150\) 2.86700 10.6998i 0.234089 0.873633i
\(151\) −4.15300 + 4.15300i −0.337966 + 0.337966i −0.855601 0.517635i \(-0.826812\pi\)
0.517635 + 0.855601i \(0.326812\pi\)
\(152\) −14.7017 + 8.48802i −1.19246 + 0.688469i
\(153\) −2.27300 + 3.93695i −0.183761 + 0.318284i
\(154\) 0.533427 4.60810i 0.0429848 0.371332i
\(155\) 3.52883i 0.283442i
\(156\) −12.8781 6.89197i −1.03108 0.551800i
\(157\) 14.6163i 1.16651i 0.812291 + 0.583253i \(0.198220\pi\)
−0.812291 + 0.583253i \(0.801780\pi\)
\(158\) 23.3220 6.24912i 1.85540 0.497154i
\(159\) 4.31031 + 2.48856i 0.341830 + 0.197356i
\(160\) −0.179373 0.310684i −0.0141807 0.0245617i
\(161\) 2.02629 + 4.68317i 0.159694 + 0.369085i
\(162\) −0.636667 + 2.37607i −0.0500213 + 0.186682i
\(163\) 7.35195 + 1.96995i 0.575849 + 0.154298i 0.534978 0.844866i \(-0.320320\pi\)
0.0408715 + 0.999164i \(0.486987\pi\)
\(164\) −34.5294 34.5294i −2.69630 2.69630i
\(165\) −0.251210 0.435109i −0.0195567 0.0338732i
\(166\) 3.92152 6.79228i 0.304369 0.527183i
\(167\) −7.60079 + 2.03663i −0.588167 + 0.157599i −0.540615 0.841270i \(-0.681809\pi\)
−0.0475517 + 0.998869i \(0.515142\pi\)
\(168\) 12.4112 + 4.91473i 0.957548 + 0.379180i
\(169\) 7.21135 + 10.8165i 0.554719 + 0.832038i
\(170\) 7.88252 0.604562
\(171\) −0.870835 3.25000i −0.0665944 0.248534i
\(172\) 14.9339 25.8662i 1.13870 1.97228i
\(173\) −5.36019 9.28412i −0.407528 0.705859i 0.587084 0.809526i \(-0.300276\pi\)
−0.994612 + 0.103667i \(0.966942\pi\)
\(174\) −0.646798 + 0.646798i −0.0490337 + 0.0490337i
\(175\) 7.10404 9.56453i 0.537015 0.723010i
\(176\) 2.96669 + 0.794922i 0.223623 + 0.0599195i
\(177\) −2.82537 + 2.82537i −0.212368 + 0.212368i
\(178\) 38.7115 22.3501i 2.90155 1.67521i
\(179\) 8.63169 + 4.98351i 0.645163 + 0.372485i 0.786601 0.617462i \(-0.211839\pi\)
−0.141438 + 0.989947i \(0.545172\pi\)
\(180\) 2.75825 0.739070i 0.205588 0.0550870i
\(181\) 3.96508 0.294722 0.147361 0.989083i \(-0.452922\pi\)
0.147361 + 0.989083i \(0.452922\pi\)
\(182\) −15.1596 17.9119i −1.12370 1.32772i
\(183\) 11.6302 0.859728
\(184\) −9.39929 + 2.51853i −0.692925 + 0.185669i
\(185\) −1.28715 0.743136i −0.0946331 0.0546365i
\(186\) 10.6649 6.15739i 0.781990 0.451482i
\(187\) −2.29120 + 2.29120i −0.167549 + 0.167549i
\(188\) 19.6949 + 5.27724i 1.43640 + 0.384882i
\(189\) −1.57758 + 2.12397i −0.114752 + 0.154496i
\(190\) −4.12534 + 4.12534i −0.299284 + 0.299284i
\(191\) −9.17881 15.8982i −0.664155 1.15035i −0.979514 0.201378i \(-0.935458\pi\)
0.315358 0.948973i \(-0.397875\pi\)
\(192\) 3.68307 6.37926i 0.265803 0.460384i
\(193\) 4.24786 + 15.8532i 0.305767 + 1.14114i 0.932283 + 0.361731i \(0.117814\pi\)
−0.626515 + 0.779409i \(0.715519\pi\)
\(194\) −22.2531 −1.59768
\(195\) −2.47482 0.578382i −0.177225 0.0414188i
\(196\) 20.6696 + 19.4143i 1.47640 + 1.38673i
\(197\) 5.69553 1.52611i 0.405790 0.108731i −0.0501498 0.998742i \(-0.515970\pi\)
0.455940 + 0.890011i \(0.349303\pi\)
\(198\) −0.876665 + 1.51843i −0.0623019 + 0.107910i
\(199\) 9.61483 + 16.6534i 0.681578 + 1.18053i 0.974499 + 0.224391i \(0.0720391\pi\)
−0.292922 + 0.956136i \(0.594628\pi\)
\(200\) 16.0656 + 16.0656i 1.13601 + 1.13601i
\(201\) 12.5870 + 3.37267i 0.887816 + 0.237890i
\(202\) 8.62496 32.1888i 0.606850 2.26480i
\(203\) −0.902929 + 0.390675i −0.0633732 + 0.0274200i
\(204\) −9.20809 15.9489i −0.644695 1.11665i
\(205\) −7.35842 4.24839i −0.513935 0.296720i
\(206\) −39.1020 + 10.4773i −2.72436 + 0.729991i
\(207\) 1.92865i 0.134051i
\(208\) 13.1978 8.19756i 0.915102 0.568398i
\(209\) 2.39821i 0.165888i
\(210\) 4.55716 + 0.527529i 0.314474 + 0.0364030i
\(211\) −4.61920 + 8.00070i −0.317999 + 0.550791i −0.980070 0.198650i \(-0.936344\pi\)
0.662071 + 0.749441i \(0.269678\pi\)
\(212\) −17.4614 + 10.0813i −1.19925 + 0.692389i
\(213\) −5.75592 + 5.75592i −0.394389 + 0.394389i
\(214\) 10.6430 39.7201i 0.727539 2.71521i
\(215\) 1.34508 5.01991i 0.0917338 0.342355i
\(216\) −3.56765 3.56765i −0.242748 0.242748i
\(217\) 13.1033 1.93420i 0.889507 0.131302i
\(218\) 5.35570 + 3.09212i 0.362734 + 0.209425i
\(219\) 0.222873 + 0.831772i 0.0150603 + 0.0562060i
\(220\) 2.03534 0.137223
\(221\) 0.527913 + 16.3823i 0.0355112 + 1.10200i
\(222\) 5.18675i 0.348112i
\(223\) −0.482353 1.80016i −0.0323007 0.120548i 0.947893 0.318589i \(-0.103209\pi\)
−0.980194 + 0.198041i \(0.936542\pi\)
\(224\) −1.05531 + 0.836340i −0.0705112 + 0.0558803i
\(225\) −3.89983 + 2.25157i −0.259989 + 0.150104i
\(226\) −10.3061 10.3061i −0.685549 0.685549i
\(227\) −5.38143 1.44195i −0.357178 0.0957056i 0.0757678 0.997125i \(-0.475859\pi\)
−0.432946 + 0.901420i \(0.642526\pi\)
\(228\) 13.1660 + 3.52781i 0.871938 + 0.233635i
\(229\) −0.153144 0.153144i −0.0101200 0.0101200i 0.702029 0.712149i \(-0.252278\pi\)
−0.712149 + 0.702029i \(0.752278\pi\)
\(230\) −2.89615 + 1.67209i −0.190966 + 0.110254i
\(231\) −1.47796 + 1.17128i −0.0972423 + 0.0770648i
\(232\) −0.485580 1.81221i −0.0318799 0.118977i
\(233\) 19.7822i 1.29598i 0.761650 + 0.647989i \(0.224390\pi\)
−0.761650 + 0.647989i \(0.775610\pi\)
\(234\) 2.57027 + 8.48868i 0.168024 + 0.554922i
\(235\) 3.54781 0.231434
\(236\) −4.18944 15.6352i −0.272710 1.01777i
\(237\) −8.50036 4.90769i −0.552158 0.318788i
\(238\) −4.32053 29.2694i −0.280058 1.89726i
\(239\) −0.636908 0.636908i −0.0411982 0.0411982i 0.686208 0.727406i \(-0.259274\pi\)
−0.727406 + 0.686208i \(0.759274\pi\)
\(240\) −0.786133 + 2.93389i −0.0507447 + 0.189382i
\(241\) 5.16499 19.2760i 0.332706 1.24168i −0.573629 0.819116i \(-0.694465\pi\)
0.906335 0.422561i \(-0.138869\pi\)
\(242\) 18.2498 18.2498i 1.17314 1.17314i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) −23.5574 + 40.8025i −1.50811 + 2.61212i
\(245\) 4.34828 + 2.33213i 0.277802 + 0.148994i
\(246\) 29.6518i 1.89053i
\(247\) −8.85003 8.29746i −0.563114 0.527955i
\(248\) 25.2585i 1.60392i
\(249\) −3.07973 + 0.825211i −0.195170 + 0.0522956i
\(250\) 14.2703 + 8.23896i 0.902533 + 0.521078i
\(251\) 14.0053 + 24.2580i 0.884010 + 1.53115i 0.846845 + 0.531840i \(0.178499\pi\)
0.0371651 + 0.999309i \(0.488167\pi\)
\(252\) −4.25615 9.83684i −0.268112 0.619663i
\(253\) 0.355793 1.32784i 0.0223685 0.0834805i
\(254\) −47.7858 12.8042i −2.99835 0.803405i
\(255\) −2.26587 2.26587i −0.141894 0.141894i
\(256\) 16.1723 + 28.0113i 1.01077 + 1.75070i
\(257\) −4.51978 + 7.82849i −0.281936 + 0.488328i −0.971862 0.235553i \(-0.924310\pi\)
0.689925 + 0.723880i \(0.257643\pi\)
\(258\) −17.5183 + 4.69402i −1.09064 + 0.292237i
\(259\) −2.05391 + 5.18677i −0.127624 + 0.322290i
\(260\) 7.04199 7.51095i 0.436726 0.465809i
\(261\) 0.371850 0.0230169
\(262\) 7.69071 + 28.7021i 0.475134 + 1.77322i
\(263\) −11.6573 + 20.1910i −0.718819 + 1.24503i 0.242649 + 0.970114i \(0.421984\pi\)
−0.961468 + 0.274917i \(0.911350\pi\)
\(264\) −1.79810 3.11441i −0.110666 0.191678i
\(265\) −2.48075 + 2.48075i −0.152391 + 0.152391i
\(266\) 17.5794 + 13.0571i 1.07786 + 0.800581i
\(267\) −17.5524 4.70315i −1.07419 0.287828i
\(268\) −37.3278 + 37.3278i −2.28016 + 2.28016i
\(269\) 24.9574 14.4092i 1.52168 0.878543i 0.522010 0.852939i \(-0.325182\pi\)
0.999672 0.0256040i \(-0.00815089\pi\)
\(270\) −1.50164 0.866973i −0.0913870 0.0527623i
\(271\) 11.9008 3.18880i 0.722920 0.193706i 0.121446 0.992598i \(-0.461247\pi\)
0.601474 + 0.798892i \(0.294580\pi\)
\(272\) 19.5889 1.18775
\(273\) −0.791166 + 9.50653i −0.0478836 + 0.575361i
\(274\) −35.6236 −2.15210
\(275\) −3.10032 + 0.830728i −0.186956 + 0.0500948i
\(276\) 6.76635 + 3.90656i 0.407287 + 0.235147i
\(277\) −12.3959 + 7.15677i −0.744797 + 0.430009i −0.823811 0.566865i \(-0.808156\pi\)
0.0790140 + 0.996874i \(0.474823\pi\)
\(278\) 13.9720 13.9720i 0.837987 0.837987i
\(279\) −4.83565 1.29571i −0.289503 0.0775720i
\(280\) −5.61057 + 7.55379i −0.335296 + 0.451425i
\(281\) −10.7886 + 10.7886i −0.643591 + 0.643591i −0.951437 0.307845i \(-0.900392\pi\)
0.307845 + 0.951437i \(0.400392\pi\)
\(282\) −6.19052 10.7223i −0.368640 0.638503i
\(283\) 6.96923 12.0711i 0.414278 0.717550i −0.581075 0.813850i \(-0.697368\pi\)
0.995352 + 0.0963004i \(0.0307009\pi\)
\(284\) −8.53485 31.8525i −0.506450 1.89010i
\(285\) 2.37170 0.140487
\(286\) 0.203609 + 6.31844i 0.0120396 + 0.373617i
\(287\) −11.7419 + 29.6519i −0.693101 + 1.75030i
\(288\) 0.491600 0.131724i 0.0289678 0.00776190i
\(289\) −1.83307 + 3.17497i −0.107828 + 0.186763i
\(290\) −0.322384 0.558385i −0.0189310 0.0327895i
\(291\) 6.39674 + 6.39674i 0.374983 + 0.374983i
\(292\) −3.36957 0.902873i −0.197189 0.0528367i
\(293\) 4.49081 16.7599i 0.262356 0.979126i −0.701493 0.712677i \(-0.747483\pi\)
0.963849 0.266450i \(-0.0858506\pi\)
\(294\) −0.539020 17.2108i −0.0314363 1.00375i
\(295\) −1.40825 2.43916i −0.0819915 0.142013i
\(296\) −9.21312 5.31920i −0.535502 0.309172i
\(297\) 0.688480 0.184478i 0.0399497 0.0107045i
\(298\) 20.2750i 1.17450i
\(299\) −3.66909 5.90711i −0.212189 0.341617i
\(300\) 18.2425i 1.05323i
\(301\) −19.3772 2.24308i −1.11688 0.129289i
\(302\) −7.22375 + 12.5119i −0.415680 + 0.719980i
\(303\) −11.7321 + 6.77353i −0.673991 + 0.389129i
\(304\) −10.2519 + 10.2519i −0.587988 + 0.587988i
\(305\) −2.12179 + 7.91863i −0.121493 + 0.453419i
\(306\) −2.89429 + 10.8016i −0.165456 + 0.617489i
\(307\) 14.5281 + 14.5281i 0.829164 + 0.829164i 0.987401 0.158237i \(-0.0505810\pi\)
−0.158237 + 0.987401i \(0.550581\pi\)
\(308\) −1.11560 7.55763i −0.0635672 0.430636i
\(309\) 14.2518 + 8.22827i 0.810756 + 0.468090i
\(310\) 2.24669 + 8.38475i 0.127603 + 0.476222i
\(311\) −7.52888 −0.426924 −0.213462 0.976951i \(-0.568474\pi\)
−0.213462 + 0.976951i \(0.568474\pi\)
\(312\) −17.7142 4.13992i −1.00287 0.234377i
\(313\) 7.90713i 0.446938i 0.974711 + 0.223469i \(0.0717381\pi\)
−0.974711 + 0.223469i \(0.928262\pi\)
\(314\) 9.30570 + 34.7293i 0.525151 + 1.95989i
\(315\) −1.15833 1.46162i −0.0652648 0.0823527i
\(316\) 34.4356 19.8814i 1.93715 1.11842i
\(317\) 12.2598 + 12.2598i 0.688580 + 0.688580i 0.961918 0.273338i \(-0.0881278\pi\)
−0.273338 + 0.961918i \(0.588128\pi\)
\(318\) 11.8260 + 3.16877i 0.663169 + 0.177696i
\(319\) 0.256011 + 0.0685980i 0.0143339 + 0.00384075i
\(320\) 3.67151 + 3.67151i 0.205243 + 0.205243i
\(321\) −14.4771 + 8.35835i −0.808033 + 0.466518i
\(322\) 7.79623 + 9.83748i 0.434467 + 0.548221i
\(323\) −3.95882 14.7745i −0.220274 0.822075i
\(324\) 4.05107i 0.225060i
\(325\) −7.66105 + 14.3152i −0.424959 + 0.794065i
\(326\) 18.7230 1.03697
\(327\) −0.650678 2.42836i −0.0359826 0.134289i
\(328\) −52.6699 30.4090i −2.90821 1.67905i
\(329\) −1.94461 13.1737i −0.107210 0.726292i
\(330\) −0.873913 0.873913i −0.0481073 0.0481073i
\(331\) 1.27846 4.77126i 0.0702703 0.262252i −0.921849 0.387549i \(-0.873322\pi\)
0.992119 + 0.125297i \(0.0399884\pi\)
\(332\) 3.34299 12.4762i 0.183470 0.684720i
\(333\) 1.49095 1.49095i 0.0817037 0.0817037i
\(334\) −16.7634 + 9.67835i −0.917252 + 0.529576i
\(335\) −4.59269 + 7.95477i −0.250925 + 0.434615i
\(336\) 11.3250 + 1.31097i 0.617831 + 0.0715191i
\(337\) 7.35624i 0.400720i −0.979722 0.200360i \(-0.935789\pi\)
0.979722 0.200360i \(-0.0642112\pi\)
\(338\) 24.0212 + 21.1095i 1.30658 + 1.14821i
\(339\) 5.92505i 0.321804i
\(340\) 12.5390 3.35982i 0.680023 0.182212i
\(341\) −3.09022 1.78414i −0.167345 0.0966165i
\(342\) −4.13833 7.16781i −0.223775 0.387591i
\(343\) 6.27632 17.4243i 0.338890 0.940826i
\(344\) 9.62778 35.9314i 0.519095 1.93729i
\(345\) 1.31316 + 0.351860i 0.0706981 + 0.0189435i
\(346\) −18.6471 18.6471i −1.00247 1.00247i
\(347\) 1.58494 + 2.74519i 0.0850839 + 0.147370i 0.905427 0.424502i \(-0.139551\pi\)
−0.820343 + 0.571872i \(0.806218\pi\)
\(348\) −0.753196 + 1.30457i −0.0403755 + 0.0699325i
\(349\) 26.0697 6.98534i 1.39548 0.373917i 0.518758 0.854921i \(-0.326395\pi\)
0.876718 + 0.481004i \(0.159728\pi\)
\(350\) 10.7903 27.2489i 0.576766 1.45652i
\(351\) 1.70127 3.17894i 0.0908072 0.169679i
\(352\) 0.362757 0.0193350
\(353\) 1.36374 + 5.08954i 0.0725845 + 0.270889i 0.992675 0.120817i \(-0.0385516\pi\)
−0.920090 + 0.391706i \(0.871885\pi\)
\(354\) −4.91447 + 8.51210i −0.261201 + 0.452413i
\(355\) −2.86893 4.96913i −0.152267 0.263734i
\(356\) 52.0533 52.0533i 2.75882 2.75882i
\(357\) −7.17167 + 9.65558i −0.379565 + 0.511027i
\(358\) 23.6824 + 6.34567i 1.25165 + 0.335379i
\(359\) 17.8470 17.8470i 0.941927 0.941927i −0.0564767 0.998404i \(-0.517987\pi\)
0.998404 + 0.0564767i \(0.0179867\pi\)
\(360\) 3.07997 1.77822i 0.162329 0.0937206i
\(361\) −6.65034 3.83958i −0.350018 0.202083i
\(362\) 9.42133 2.52444i 0.495174 0.132682i
\(363\) −10.4920 −0.550685
\(364\) −31.7495 22.0315i −1.66413 1.15476i
\(365\) −0.606988 −0.0317712
\(366\) 27.6342 7.40456i 1.44446 0.387042i
\(367\) −28.6206 16.5241i −1.49398 0.862551i −0.494006 0.869458i \(-0.664468\pi\)
−0.999976 + 0.00690739i \(0.997801\pi\)
\(368\) −7.19723 + 4.15532i −0.375181 + 0.216611i
\(369\) 8.52353 8.52353i 0.443717 0.443717i
\(370\) −3.53149 0.946261i −0.183594 0.0491938i
\(371\) 10.5713 + 7.85179i 0.548832 + 0.407645i
\(372\) 14.3405 14.3405i 0.743523 0.743523i
\(373\) 13.8983 + 24.0726i 0.719627 + 1.24643i 0.961148 + 0.276035i \(0.0890204\pi\)
−0.241521 + 0.970396i \(0.577646\pi\)
\(374\) −3.98532 + 6.90278i −0.206076 + 0.356934i
\(375\) −1.73373 6.47039i −0.0895297 0.334129i
\(376\) 25.3944 1.30962
\(377\) 1.13891 0.707411i 0.0586567 0.0364335i
\(378\) −2.39618 + 6.05110i −0.123246 + 0.311235i
\(379\) 14.6943 3.93733i 0.754797 0.202247i 0.139152 0.990271i \(-0.455562\pi\)
0.615645 + 0.788024i \(0.288896\pi\)
\(380\) −4.80395 + 8.32069i −0.246438 + 0.426843i
\(381\) 10.0556 + 17.4169i 0.515165 + 0.892293i
\(382\) −31.9314 31.9314i −1.63375 1.63375i
\(383\) −8.30637 2.22568i −0.424436 0.113727i 0.0402774 0.999189i \(-0.487176\pi\)
−0.464713 + 0.885461i \(0.653842\pi\)
\(384\) 4.95322 18.4857i 0.252768 0.943344i
\(385\) −0.527855 1.21998i −0.0269020 0.0621759i
\(386\) 20.1864 + 34.9639i 1.02746 + 1.77962i
\(387\) 6.38504 + 3.68640i 0.324570 + 0.187390i
\(388\) −35.3987 + 9.48505i −1.79710 + 0.481530i
\(389\) 11.3461i 0.575268i −0.957740 0.287634i \(-0.907131\pi\)
0.957740 0.287634i \(-0.0928686\pi\)
\(390\) −6.24859 + 0.201358i −0.316410 + 0.0101961i
\(391\) 8.76766i 0.443400i
\(392\) 31.1240 + 16.6929i 1.57200 + 0.843116i
\(393\) 6.03982 10.4613i 0.304669 0.527702i
\(394\) 12.5614 7.25232i 0.632833 0.365366i
\(395\) 4.89228 4.89228i 0.246157 0.246157i
\(396\) −0.747332 + 2.78908i −0.0375549 + 0.140157i
\(397\) 4.16966 15.5614i 0.209269 0.781003i −0.778836 0.627227i \(-0.784190\pi\)
0.988106 0.153776i \(-0.0491435\pi\)
\(398\) 33.4482 + 33.4482i 1.67661 + 1.67661i
\(399\) −1.29996 8.80659i −0.0650794 0.440881i
\(400\) 16.8045 + 9.70209i 0.840226 + 0.485105i
\(401\) −9.35796 34.9244i −0.467314 1.74404i −0.649101 0.760702i \(-0.724855\pi\)
0.181787 0.983338i \(-0.441812\pi\)
\(402\) 32.0548 1.59875
\(403\) −17.2757 + 5.23087i −0.860562 + 0.260568i
\(404\) 54.8801i 2.73039i
\(405\) 0.182438 + 0.680869i 0.00906543 + 0.0338326i
\(406\) −1.89670 + 1.50314i −0.0941314 + 0.0745994i
\(407\) 1.30154 0.751444i 0.0645149 0.0372477i
\(408\) −16.2185 16.2185i −0.802937 0.802937i
\(409\) −13.9857 3.74745i −0.691547 0.185300i −0.104106 0.994566i \(-0.533198\pi\)
−0.587441 + 0.809267i \(0.699865\pi\)
\(410\) −20.1890 5.40962i −0.997062 0.267162i
\(411\) 10.2402 + 10.2402i 0.505110 + 0.505110i
\(412\) −57.7350 + 33.3333i −2.84440 + 1.64221i
\(413\) −8.28522 + 6.56606i −0.407689 + 0.323095i
\(414\) −1.22791 4.58262i −0.0603485 0.225224i
\(415\) 2.24744i 0.110322i
\(416\) 1.25509 1.33867i 0.0615357 0.0656337i
\(417\) −8.03264 −0.393360
\(418\) −1.52686 5.69832i −0.0746812 0.278714i
\(419\) −19.0889 11.0210i −0.932553 0.538410i −0.0449347 0.998990i \(-0.514308\pi\)
−0.887618 + 0.460580i \(0.847641\pi\)
\(420\) 7.47408 1.10327i 0.364698 0.0538339i
\(421\) −7.69603 7.69603i −0.375082 0.375082i 0.494243 0.869324i \(-0.335445\pi\)
−0.869324 + 0.494243i \(0.835445\pi\)
\(422\) −5.88179 + 21.9511i −0.286321 + 1.06856i
\(423\) −1.30268 + 4.86166i −0.0633384 + 0.236382i
\(424\) −17.7566 + 17.7566i −0.862338 + 0.862338i
\(425\) −17.7286 + 10.2356i −0.859965 + 0.496501i
\(426\) −10.0119 + 17.3411i −0.485078 + 0.840179i
\(427\) 30.5665 + 3.53832i 1.47921 + 0.171232i
\(428\) 67.7206i 3.27340i
\(429\) 1.75774 1.87479i 0.0848643 0.0905158i
\(430\) 12.7840i 0.616502i
\(431\) −26.2932 + 7.04525i −1.26650 + 0.339358i −0.828689 0.559709i \(-0.810913\pi\)
−0.437812 + 0.899067i \(0.644246\pi\)
\(432\) −3.73174 2.15452i −0.179543 0.103659i
\(433\) 6.55214 + 11.3486i 0.314876 + 0.545381i 0.979411 0.201876i \(-0.0647038\pi\)
−0.664535 + 0.747257i \(0.731371\pi\)
\(434\) 29.9029 12.9382i 1.43538 0.621054i
\(435\) −0.0678396 + 0.253181i −0.00325266 + 0.0121391i
\(436\) 9.83747 + 2.63594i 0.471129 + 0.126239i
\(437\) 4.58858 + 4.58858i 0.219502 + 0.219502i
\(438\) 1.05912 + 1.83446i 0.0506069 + 0.0876537i
\(439\) −19.9333 + 34.5255i −0.951364 + 1.64781i −0.208887 + 0.977940i \(0.566984\pi\)
−0.742477 + 0.669872i \(0.766349\pi\)
\(440\) 2.44854 0.656085i 0.116730 0.0312776i
\(441\) −4.79238 + 5.10227i −0.228208 + 0.242965i
\(442\) 11.6845 + 38.5896i 0.555773 + 1.83552i
\(443\) 23.0066 1.09308 0.546539 0.837433i \(-0.315945\pi\)
0.546539 + 0.837433i \(0.315945\pi\)
\(444\) 2.21078 + 8.25074i 0.104919 + 0.391563i
\(445\) 6.40446 11.0928i 0.303600 0.525851i
\(446\) −2.29221 3.97023i −0.108539 0.187996i
\(447\) 5.82815 5.82815i 0.275662 0.275662i
\(448\) 11.6206 15.6455i 0.549024 0.739178i
\(449\) 15.6281 + 4.18754i 0.737536 + 0.197622i 0.607983 0.793950i \(-0.291979\pi\)
0.129553 + 0.991572i \(0.458646\pi\)
\(450\) −7.83278 + 7.83278i −0.369241 + 0.369241i
\(451\) 7.44068 4.29588i 0.350368 0.202285i
\(452\) −20.7870 12.0014i −0.977739 0.564498i
\(453\) 5.67310 1.52010i 0.266546 0.0714207i
\(454\) −13.7047 −0.643194
\(455\) −6.32836 2.27303i −0.296678 0.106561i
\(456\) 16.9760 0.794976
\(457\) 0.658952 0.176566i 0.0308245 0.00825939i −0.243374 0.969933i \(-0.578254\pi\)
0.274198 + 0.961673i \(0.411588\pi\)
\(458\) −0.461383 0.266380i −0.0215590 0.0124471i
\(459\) 3.93695 2.27300i 0.183761 0.106095i
\(460\) −3.89429 + 3.89429i −0.181572 + 0.181572i
\(461\) −8.08252 2.16570i −0.376440 0.100867i 0.0656375 0.997844i \(-0.479092\pi\)
−0.442078 + 0.896977i \(0.645759\pi\)
\(462\) −2.76601 + 3.72402i −0.128687 + 0.173257i
\(463\) 22.3879 22.3879i 1.04045 1.04045i 0.0413082 0.999146i \(-0.486847\pi\)
0.999146 0.0413082i \(-0.0131525\pi\)
\(464\) −0.801158 1.38765i −0.0371928 0.0644199i
\(465\) 1.76441 3.05605i 0.0818227 0.141721i
\(466\) 12.5947 + 47.0041i 0.583438 + 2.17742i
\(467\) 13.5832 0.628554 0.314277 0.949331i \(-0.398238\pi\)
0.314277 + 0.949331i \(0.398238\pi\)
\(468\) 7.70680 + 12.4077i 0.356247 + 0.573546i
\(469\) 32.0550 + 12.6935i 1.48016 + 0.586130i
\(470\) 8.42986 2.25877i 0.388840 0.104189i
\(471\) 7.30813 12.6581i 0.336741 0.583253i
\(472\) −10.0799 17.4589i −0.463966 0.803613i
\(473\) 3.71591 + 3.71591i 0.170858 + 0.170858i
\(474\) −23.3220 6.24912i −1.07122 0.287032i
\(475\) 3.92148 14.6352i 0.179930 0.671508i
\(476\) −19.3485 44.7183i −0.886836 2.04966i
\(477\) −2.48856 4.31031i −0.113943 0.197356i
\(478\) −1.91884 1.10784i −0.0877656 0.0506715i
\(479\) 4.03229 1.08045i 0.184240 0.0493669i −0.165519 0.986207i \(-0.552930\pi\)
0.349759 + 0.936840i \(0.386263\pi\)
\(480\) 0.358746i 0.0163745i
\(481\) 1.73011 7.40292i 0.0788863 0.337544i
\(482\) 49.0896i 2.23597i
\(483\) 0.586766 5.06889i 0.0266988 0.230642i
\(484\) 21.2518 36.8093i 0.965993 1.67315i
\(485\) −5.52235 + 3.18833i −0.250757 + 0.144775i
\(486\) 1.73941 1.73941i 0.0789011 0.0789011i
\(487\) 4.28159 15.9791i 0.194018 0.724083i −0.798501 0.601993i \(-0.794374\pi\)
0.992519 0.122090i \(-0.0389598\pi\)
\(488\) −15.1873 + 56.6797i −0.687496 + 2.56577i
\(489\) −5.38200 5.38200i −0.243383 0.243383i
\(490\) 11.8166 + 2.77291i 0.533821 + 0.125267i
\(491\) 27.7156 + 16.0016i 1.25079 + 0.722143i 0.971266 0.237996i \(-0.0764905\pi\)
0.279523 + 0.960139i \(0.409824\pi\)
\(492\) 12.6387 + 47.1681i 0.569795 + 2.12650i
\(493\) 1.69043 0.0761332
\(494\) −26.3111 14.0809i −1.18379 0.633528i
\(495\) 0.502420i 0.0225821i
\(496\) 5.58326 + 20.8370i 0.250696 + 0.935609i
\(497\) −16.8789 + 13.3766i −0.757121 + 0.600021i
\(498\) −6.79228 + 3.92152i −0.304369 + 0.175728i
\(499\) −14.4246 14.4246i −0.645734 0.645734i 0.306225 0.951959i \(-0.400934\pi\)
−0.951959 + 0.306225i \(0.900934\pi\)
\(500\) 26.2120 + 7.02348i 1.17224 + 0.314100i
\(501\) 7.60079 + 2.03663i 0.339578 + 0.0909898i
\(502\) 48.7220 + 48.7220i 2.17457 + 2.17457i
\(503\) −23.6349 + 13.6456i −1.05383 + 0.608427i −0.923718 0.383072i \(-0.874866\pi\)
−0.130109 + 0.991500i \(0.541533\pi\)
\(504\) −8.29109 10.4619i −0.369314 0.466010i
\(505\) −2.47150 9.22376i −0.109980 0.410452i
\(506\) 3.38157i 0.150329i
\(507\) −0.836968 12.9730i −0.0371710 0.576152i
\(508\) −81.4721 −3.61474
\(509\) −8.17110 30.4949i −0.362177 1.35166i −0.871207 0.490916i \(-0.836662\pi\)
0.509030 0.860749i \(-0.330004\pi\)
\(510\) −6.82647 3.94126i −0.302281 0.174522i
\(511\) 0.332699 + 2.25387i 0.0147177 + 0.0997054i
\(512\) 29.1956 + 29.1956i 1.29027 + 1.29027i
\(513\) −0.870835 + 3.25000i −0.0384483 + 0.143491i
\(514\) −5.75519 + 21.4787i −0.253851 + 0.947383i
\(515\) −8.20244 + 8.20244i −0.361443 + 0.361443i
\(516\) −25.8662 + 14.9339i −1.13870 + 0.657428i
\(517\) −1.79374 + 3.10684i −0.0788884 + 0.136639i
\(518\) −1.57800 + 13.6318i −0.0693332 + 0.598948i
\(519\) 10.7204i 0.470572i
\(520\) 6.05048 11.3057i 0.265331 0.495790i
\(521\) 13.1042i 0.574107i 0.957915 + 0.287054i \(0.0926758\pi\)
−0.957915 + 0.287054i \(0.907324\pi\)
\(522\) 0.883543 0.236745i 0.0386716 0.0103620i
\(523\) −7.44365 4.29760i −0.325488 0.187921i 0.328348 0.944557i \(-0.393508\pi\)
−0.653836 + 0.756636i \(0.726841\pi\)
\(524\) 24.4678 + 42.3794i 1.06888 + 1.85135i
\(525\) −10.9345 + 4.73110i −0.477223 + 0.206482i
\(526\) −14.8436 + 55.3971i −0.647212 + 2.41543i
\(527\) −21.9829 5.89029i −0.957589 0.256585i
\(528\) −2.17177 2.17177i −0.0945140 0.0945140i
\(529\) −9.64015 16.6972i −0.419137 0.725966i
\(530\) −4.31503 + 7.47385i −0.187433 + 0.324643i
\(531\) 3.85953 1.03416i 0.167489 0.0448786i
\(532\) 33.5295 + 13.2774i 1.45369 + 0.575647i
\(533\) 9.89076 42.3213i 0.428417 1.83314i
\(534\) −44.7002 −1.93437
\(535\) −3.04977 11.3819i −0.131853 0.492082i
\(536\) −32.8734 + 56.9384i −1.41991 + 2.45936i
\(537\) −4.98351 8.63169i −0.215054 0.372485i
\(538\) 50.1269 50.1269i 2.16112 2.16112i
\(539\) −4.24071 + 2.62872i −0.182660 + 0.113227i
\(540\) −2.75825 0.739070i −0.118696 0.0318045i
\(541\) 6.09190 6.09190i 0.261911 0.261911i −0.563919 0.825830i \(-0.690707\pi\)
0.825830 + 0.563919i \(0.190707\pi\)
\(542\) 26.2469 15.1537i 1.12740 0.650905i
\(543\) −3.43386 1.98254i −0.147361 0.0850790i
\(544\) 2.23482 0.598817i 0.0958169 0.0256741i
\(545\) 1.77210 0.0759086
\(546\) 4.17262 + 23.0919i 0.178572 + 0.988243i
\(547\) 30.2438 1.29313 0.646566 0.762858i \(-0.276205\pi\)
0.646566 + 0.762858i \(0.276205\pi\)
\(548\) −56.6677 + 15.1841i −2.42072 + 0.648631i
\(549\) −10.0720 5.81509i −0.429864 0.248182i
\(550\) −6.83769 + 3.94774i −0.291560 + 0.168332i
\(551\) −0.884692 + 0.884692i −0.0376892 + 0.0376892i
\(552\) 9.39929 + 2.51853i 0.400060 + 0.107196i
\(553\) −20.8476 15.4845i −0.886528 0.658468i
\(554\) −24.8971 + 24.8971i −1.05778 + 1.05778i
\(555\) 0.743136 + 1.28715i 0.0315444 + 0.0546365i
\(556\) 16.2704 28.1812i 0.690019 1.19515i
\(557\) −11.7586 43.8837i −0.498228 1.85941i −0.511141 0.859497i \(-0.670777\pi\)
0.0129131 0.999917i \(-0.495890\pi\)
\(558\) −12.3148 −0.521327
\(559\) 26.5692 0.856180i 1.12376 0.0362126i
\(560\) −2.95871 + 7.47168i −0.125028 + 0.315736i
\(561\) 3.12983 0.838636i 0.132142 0.0354072i
\(562\) −18.7657 + 32.5031i −0.791583 + 1.37106i
\(563\) 12.5992 + 21.8224i 0.530992 + 0.919704i 0.999346 + 0.0361636i \(0.0115137\pi\)
−0.468354 + 0.883541i \(0.655153\pi\)
\(564\) −14.4177 14.4177i −0.607095 0.607095i
\(565\) −4.03418 1.08095i −0.169719 0.0454761i
\(566\) 8.87415 33.1188i 0.373009 1.39209i
\(567\) 2.42821 1.05062i 0.101975 0.0441221i
\(568\) −20.5351 35.5679i −0.861634 1.49239i
\(569\) 13.9572 + 8.05819i 0.585116 + 0.337817i 0.763164 0.646205i \(-0.223645\pi\)
−0.178048 + 0.984022i \(0.556978\pi\)
\(570\) 5.63532 1.50998i 0.236038 0.0632461i
\(571\) 13.5825i 0.568409i 0.958764 + 0.284204i \(0.0917294\pi\)
−0.958764 + 0.284204i \(0.908271\pi\)
\(572\) 3.01703 + 9.96418i 0.126149 + 0.416623i
\(573\) 18.3576i 0.766900i
\(574\) −9.02115 + 77.9308i −0.376535 + 3.25277i
\(575\) 4.34249 7.52142i 0.181094 0.313665i
\(576\) −6.37926 + 3.68307i −0.265803 + 0.153461i
\(577\) −33.5657 + 33.5657i −1.39736 + 1.39736i −0.589829 + 0.807528i \(0.700805\pi\)
−0.807528 + 0.589829i \(0.799195\pi\)
\(578\) −2.33411 + 8.71103i −0.0970863 + 0.362331i
\(579\) 4.24786 15.8532i 0.176535 0.658837i
\(580\) −0.750831 0.750831i −0.0311766 0.0311766i
\(581\) −8.34520 + 1.23185i −0.346217 + 0.0511059i
\(582\) 19.2717 + 11.1265i 0.798838 + 0.461209i
\(583\) −0.918168 3.42665i −0.0380266 0.141917i
\(584\) −4.34468 −0.179784
\(585\) 1.85406 + 1.73830i 0.0766562 + 0.0718700i
\(586\) 42.6820i 1.76318i
\(587\) 6.29368 + 23.4883i 0.259768 + 0.969467i 0.965375 + 0.260864i \(0.0840076\pi\)
−0.705607 + 0.708603i \(0.749326\pi\)
\(588\) −8.19330 27.1481i −0.337886 1.11957i
\(589\) 14.5875 8.42210i 0.601067 0.347026i
\(590\) −4.89904 4.89904i −0.201690 0.201690i
\(591\) −5.69553 1.52611i −0.234283 0.0627759i
\(592\) −8.77613 2.35156i −0.360697 0.0966484i
\(593\) 10.0628 + 10.0628i 0.413231 + 0.413231i 0.882863 0.469631i \(-0.155613\pi\)
−0.469631 + 0.882863i \(0.655613\pi\)
\(594\) 1.51843 0.876665i 0.0623019 0.0359700i
\(595\) −5.26579 6.64451i −0.215876 0.272398i
\(596\) 8.64195 + 32.2522i 0.353988 + 1.32110i
\(597\) 19.2297i 0.787018i
\(598\) −12.4789 11.6997i −0.510299 0.478438i
\(599\) 15.7719 0.644422 0.322211 0.946668i \(-0.395574\pi\)
0.322211 + 0.946668i \(0.395574\pi\)
\(600\) −5.88042 21.9460i −0.240067 0.895942i
\(601\) −18.2565 10.5404i −0.744698 0.429952i 0.0790767 0.996869i \(-0.474803\pi\)
−0.823775 + 0.566917i \(0.808136\pi\)
\(602\) −47.4698 + 7.00712i −1.93472 + 0.285589i
\(603\) −9.21430 9.21430i −0.375235 0.375235i
\(604\) −6.15805 + 22.9821i −0.250567 + 0.935130i
\(605\) 1.91413 7.14365i 0.0778206 0.290431i
\(606\) −23.5638 + 23.5638i −0.957215 + 0.957215i
\(607\) 14.6360 8.45008i 0.594056 0.342978i −0.172644 0.984984i \(-0.555231\pi\)
0.766700 + 0.642006i \(0.221898\pi\)
\(608\) −0.856205 + 1.48299i −0.0347237 + 0.0601432i
\(609\) 0.977297 + 0.113130i 0.0396021 + 0.00458427i
\(610\) 20.1661i 0.816502i
\(611\) 5.25901 + 17.3686i 0.212757 + 0.702658i
\(612\) 18.4162i 0.744430i
\(613\) 17.4644 4.67958i 0.705381 0.189006i 0.111742 0.993737i \(-0.464357\pi\)
0.593640 + 0.804731i \(0.297690\pi\)
\(614\) 43.7695 + 25.2703i 1.76639 + 1.01983i
\(615\) 4.24839 + 7.35842i 0.171312 + 0.296720i
\(616\) −3.77826 8.73233i −0.152230 0.351836i
\(617\) 5.54500 20.6942i 0.223233 0.833118i −0.759871 0.650074i \(-0.774738\pi\)
0.983105 0.183045i \(-0.0585952\pi\)
\(618\) 39.1020 + 10.4773i 1.57291 + 0.421460i
\(619\) −19.4756 19.4756i −0.782790 0.782790i 0.197511 0.980301i \(-0.436714\pi\)
−0.980301 + 0.197511i \(0.936714\pi\)
\(620\) 7.14777 + 12.3803i 0.287061 + 0.497205i
\(621\) −0.964326 + 1.67026i −0.0386971 + 0.0670253i
\(622\) −17.8892 + 4.79339i −0.717291 + 0.192197i
\(623\) −44.7004 17.7009i −1.79088 0.709172i
\(624\) −15.5284 + 0.500395i −0.621634 + 0.0200318i
\(625\) −17.7939 −0.711756
\(626\) 5.03421 + 18.7879i 0.201208 + 0.750917i
\(627\) −1.19910 + 2.07691i −0.0478876 + 0.0829438i
\(628\) 29.6058 + 51.2787i 1.18140 + 2.04624i
\(629\) 6.77788 6.77788i 0.270252 0.270252i
\(630\) −3.68285 2.73543i −0.146728 0.108982i
\(631\) −20.8332 5.58224i −0.829356 0.222225i −0.180923 0.983497i \(-0.557909\pi\)
−0.648433 + 0.761272i \(0.724575\pi\)
\(632\) 35.0178 35.0178i 1.39293 1.39293i
\(633\) 8.00070 4.61920i 0.317999 0.183597i
\(634\) 36.9357 + 21.3248i 1.46690 + 0.846916i
\(635\) −13.6931 + 3.66906i −0.543395 + 0.145602i
\(636\) 20.1627 0.799502
\(637\) −4.97157 + 24.7444i −0.196981 + 0.980407i
\(638\) 0.651976 0.0258120
\(639\) 7.86274 2.10681i 0.311045 0.0833443i
\(640\) 11.6827 + 6.74499i 0.461798 + 0.266619i
\(641\) 25.3468 14.6340i 1.00114 0.578006i 0.0925521 0.995708i \(-0.470498\pi\)
0.908584 + 0.417701i \(0.137164\pi\)
\(642\) −29.0772 + 29.0772i −1.14758 + 1.14758i
\(643\) −12.4873 3.34595i −0.492449 0.131951i 0.00404423 0.999992i \(-0.498713\pi\)
−0.496494 + 0.868040i \(0.665379\pi\)
\(644\) 16.5948 + 12.3258i 0.653927 + 0.485704i
\(645\) −3.67483 + 3.67483i −0.144696 + 0.144696i
\(646\) −18.8129 32.5849i −0.740183 1.28203i
\(647\) 18.8428 32.6368i 0.740788 1.28308i −0.211348 0.977411i \(-0.567785\pi\)
0.952137 0.305672i \(-0.0988813\pi\)
\(648\) 1.30585 + 4.87350i 0.0512986 + 0.191449i
\(649\) 2.84798 0.111793
\(650\) −9.08921 + 38.8915i −0.356508 + 1.52545i
\(651\) −12.3149 4.87656i −0.482657 0.191127i
\(652\) 29.7833 7.98041i 1.16640 0.312537i
\(653\) −20.0158 + 34.6685i −0.783280 + 1.35668i 0.146740 + 0.989175i \(0.453122\pi\)
−0.930021 + 0.367507i \(0.880212\pi\)
\(654\) −3.09212 5.35570i −0.120911 0.209425i
\(655\) 6.02086 + 6.02086i 0.235255 + 0.235255i
\(656\) −50.1717 13.4435i −1.95888 0.524879i
\(657\) 0.222873 0.831772i 0.00869509 0.0324505i
\(658\) −13.0078 30.0637i −0.507097 1.17201i
\(659\) 15.0023 + 25.9848i 0.584407 + 1.01222i 0.994949 + 0.100381i \(0.0320062\pi\)
−0.410542 + 0.911842i \(0.634660\pi\)
\(660\) −1.76266 1.01767i −0.0686113 0.0396128i
\(661\) 19.0751 5.11115i 0.741934 0.198801i 0.131996 0.991250i \(-0.457861\pi\)
0.609937 + 0.792450i \(0.291195\pi\)
\(662\) 12.1508i 0.472255i
\(663\) 7.73399 14.4515i 0.300363 0.561249i
\(664\) 16.0866i 0.624283i
\(665\) 6.23329 + 0.721556i 0.241717 + 0.0279807i
\(666\) 2.59337 4.49186i 0.100491 0.174056i
\(667\) −0.621087 + 0.358585i −0.0240486 + 0.0138845i
\(668\) −22.5408 + 22.5408i −0.872131 + 0.872131i
\(669\) −0.482353 + 1.80016i −0.0186488 + 0.0695984i
\(670\) −5.84803 + 21.8251i −0.225929 + 0.843178i
\(671\) −5.86164 5.86164i −0.226286 0.226286i
\(672\) 1.33210 0.196634i 0.0513868 0.00758533i
\(673\) −39.4906 22.7999i −1.52225 0.878872i −0.999654 0.0262924i \(-0.991630\pi\)
−0.522597 0.852580i \(-0.675037\pi\)
\(674\) −4.68348 17.4790i −0.180401 0.673265i
\(675\) 4.50313 0.173326
\(676\) 47.2090 + 23.3410i 1.81573 + 0.897730i
\(677\) 6.55217i 0.251821i 0.992042 + 0.125910i \(0.0401851\pi\)
−0.992042 + 0.125910i \(0.959815\pi\)
\(678\) 3.77228 + 14.0783i 0.144874 + 0.540676i
\(679\) 14.8658 + 18.7580i 0.570497 + 0.719867i
\(680\) 14.0016 8.08381i 0.536936 0.310000i
\(681\) 3.93948 + 3.93948i 0.150961 + 0.150961i
\(682\) −8.47849 2.27180i −0.324658 0.0869919i
\(683\) 42.6432 + 11.4262i 1.63170 + 0.437212i 0.954408 0.298504i \(-0.0964875\pi\)
0.677290 + 0.735716i \(0.263154\pi\)
\(684\) −9.63816 9.63816i −0.368524 0.368524i
\(685\) −8.84040 + 5.10401i −0.337774 + 0.195014i
\(686\) 3.81950 45.3975i 0.145829 1.73328i
\(687\) 0.0560546 + 0.209199i 0.00213862 + 0.00798143i
\(688\) 31.7697i 1.21121i
\(689\) −15.8220 8.46743i −0.602769 0.322584i
\(690\) 3.34418 0.127311
\(691\) −8.50701 31.7486i −0.323622 1.20777i −0.915690 0.401885i \(-0.868355\pi\)
0.592068 0.805888i \(-0.298312\pi\)
\(692\) −37.6106 21.7145i −1.42974 0.825462i
\(693\) 1.86559 0.275384i 0.0708679 0.0104610i
\(694\) 5.51370 + 5.51370i 0.209297 + 0.209297i
\(695\) 1.46546 5.46917i 0.0555881 0.207457i
\(696\) −0.485580 + 1.81221i −0.0184059 + 0.0686917i
\(697\) 38.7480 38.7480i 1.46769 1.46769i
\(698\) 57.4961 33.1954i 2.17626 1.25646i
\(699\) 9.89112 17.1319i 0.374116 0.647989i
\(700\) 5.55004 47.9450i 0.209772 1.81215i
\(701\) 8.83206i 0.333582i −0.985992 0.166791i \(-0.946659\pi\)
0.985992 0.166791i \(-0.0533406\pi\)
\(702\) 2.01842 8.63655i 0.0761803 0.325965i
\(703\) 7.09444i 0.267572i
\(704\) −5.07144 + 1.35889i −0.191137 + 0.0512150i
\(705\) −3.07249 1.77391i −0.115717 0.0668091i
\(706\) 6.48069 + 11.2249i 0.243904 + 0.422454i
\(707\) −32.8950 + 14.2329i −1.23715 + 0.535282i
\(708\) −4.18944 + 15.6352i −0.157449 + 0.587607i
\(709\) 28.7065 + 7.69188i 1.07809 + 0.288874i 0.753815 0.657087i \(-0.228212\pi\)
0.324279 + 0.945961i \(0.394878\pi\)
\(710\) −9.98046 9.98046i −0.374560 0.374560i
\(711\) 4.90769 + 8.50036i 0.184053 + 0.318788i
\(712\) 45.8416 79.4000i 1.71799 2.97564i
\(713\) 9.32628 2.49897i 0.349272 0.0935872i
\(714\) −10.8930 + 27.5083i −0.407661 + 1.02947i
\(715\) 0.955809 + 1.53882i 0.0357452 + 0.0575486i
\(716\) 40.3771 1.50896
\(717\) 0.233125 + 0.870032i 0.00870619 + 0.0324920i
\(718\) 31.0431 53.7683i 1.15852 2.00662i
\(719\) 18.6597 + 32.3196i 0.695890 + 1.20532i 0.969880 + 0.243584i \(0.0783233\pi\)
−0.273990 + 0.961733i \(0.588343\pi\)
\(720\) 2.14776 2.14776i 0.0800421 0.0800421i
\(721\) 34.9532 + 25.9615i 1.30173 + 0.966855i
\(722\) −18.2462 4.88907i −0.679055 0.181952i
\(723\) −14.1110 + 14.1110i −0.524794 + 0.524794i
\(724\) 13.9108 8.03142i 0.516992 0.298485i
\(725\) 1.45015 + 0.837245i 0.0538573 + 0.0310945i
\(726\) −24.9297 + 6.67989i −0.925227 + 0.247914i
\(727\) 9.88660 0.366674 0.183337 0.983050i \(-0.441310\pi\)
0.183337 + 0.983050i \(0.441310\pi\)
\(728\) −45.2969 16.2698i −1.67881 0.603001i
\(729\) −1.00000 −0.0370370
\(730\) −1.44225 + 0.386449i −0.0533800 + 0.0143031i
\(731\) 29.0264 + 16.7584i 1.07358 + 0.619832i
\(732\) 40.8025 23.5574i 1.50811 0.870705i
\(733\) −14.5543 + 14.5543i −0.537577 + 0.537577i −0.922817 0.385240i \(-0.874119\pi\)
0.385240 + 0.922817i \(0.374119\pi\)
\(734\) −78.5250 21.0407i −2.89841 0.776626i
\(735\) −2.59966 4.19383i −0.0958899 0.154692i
\(736\) −0.694076 + 0.694076i −0.0255840 + 0.0255840i
\(737\) −4.64403 8.04370i −0.171065 0.296293i
\(738\) 14.8259 25.6792i 0.545749 0.945264i
\(739\) 13.1964 + 49.2497i 0.485438 + 1.81168i 0.578079 + 0.815981i \(0.303803\pi\)
−0.0926405 + 0.995700i \(0.529531\pi\)
\(740\) −6.02100 −0.221336
\(741\) 3.51562 + 11.6108i 0.129150 + 0.426535i
\(742\) 30.1171 + 11.9261i 1.10563 + 0.437820i
\(743\) −13.4007 + 3.59070i −0.491623 + 0.131730i −0.496109 0.868260i \(-0.665239\pi\)
0.00448658 + 0.999990i \(0.498572\pi\)
\(744\) 12.6293 21.8745i 0.463011 0.801959i
\(745\) 2.90493 + 5.03148i 0.106428 + 0.184339i
\(746\) 48.3496 + 48.3496i 1.77020 + 1.77020i
\(747\) 3.07973 + 0.825211i 0.112681 + 0.0301929i
\(748\) −3.39737 + 12.6792i −0.124220 + 0.463597i
\(749\) −40.5916 + 17.5630i −1.48319 + 0.641737i
\(750\) −8.23896 14.2703i −0.300844 0.521078i
\(751\) −7.39608 4.27013i −0.269887 0.155819i 0.358949 0.933357i \(-0.383135\pi\)
−0.628836 + 0.777538i \(0.716468\pi\)
\(752\) 20.9491 5.61329i 0.763935 0.204696i
\(753\) 28.0107i 1.02077i
\(754\) 2.25574 2.40597i 0.0821494 0.0876201i
\(755\) 4.13996i 0.150669i
\(756\) −1.23248 + 10.6470i −0.0448250 + 0.387229i
\(757\) −5.08375 + 8.80531i −0.184772 + 0.320034i −0.943500 0.331374i \(-0.892488\pi\)
0.758728 + 0.651408i \(0.225821\pi\)
\(758\) 32.4080 18.7108i 1.17711 0.679606i
\(759\) −0.972046 + 0.972046i −0.0352830 + 0.0352830i
\(760\) −3.09708 + 11.5585i −0.112343 + 0.419269i
\(761\) −0.975866 + 3.64198i −0.0353751 + 0.132022i −0.981355 0.192203i \(-0.938437\pi\)
0.945980 + 0.324225i \(0.105103\pi\)
\(762\) 34.9816 + 34.9816i 1.26725 + 1.26725i
\(763\) −0.971316 6.58019i −0.0351640 0.238219i
\(764\) −64.4046 37.1840i −2.33008 1.34527i
\(765\) 0.829364 + 3.09523i 0.0299857 + 0.111908i
\(766\) −21.1536 −0.764309
\(767\) 9.85363 10.5098i 0.355794 0.379488i
\(768\) 32.3446i 1.16714i
\(769\) 1.12134 + 4.18491i 0.0404367 + 0.150912i 0.983192 0.182572i \(-0.0584424\pi\)
−0.942756 + 0.333484i \(0.891776\pi\)
\(770\) −2.03094 2.56270i −0.0731901 0.0923531i
\(771\) 7.82849 4.51978i 0.281936 0.162776i
\(772\) 47.0142 + 47.0142i 1.69208 + 1.69208i
\(773\) −14.9644 4.00970i −0.538233 0.144219i −0.0205453 0.999789i \(-0.506540\pi\)
−0.517687 + 0.855570i \(0.673207\pi\)