Properties

Label 273.2.by.d.223.8
Level $273$
Weight $2$
Character 273.223
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 223.8
Character \(\chi\) \(=\) 273.223
Dual form 273.2.by.d.202.8

$q$-expansion

\(f(q)\) \(=\) \(q+(2.37607 + 0.636667i) q^{2} +(0.866025 - 0.500000i) q^{3} +(3.50833 + 2.02554i) q^{4} +(-0.498430 - 0.498430i) q^{5} +(2.37607 - 0.636667i) q^{6} +(-2.62820 - 0.304236i) q^{7} +(3.56765 + 3.56765i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(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} +(-2.62820 - 0.304236i) 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} +(-2.42821 + 1.05062i) 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} +(-8.60436 - 6.39088i) 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} +(1.15833 + 1.46162i) 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} +(-6.43850 + 0.950401i) 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} +(6.81488 + 1.59919i) 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} +(-8.29109 - 10.4619i) 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} +(-1.57758 + 2.12397i) 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} +(1.82173 + 4.21038i) 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} +(-10.6470 - 1.23248i) 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} +(8.87249 - 3.50413i) 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} +(15.1745 + 8.13860i) q^{98} +(-0.504002 - 0.504002i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + 2q^{10} - 4q^{11} + 32q^{12} + 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} - 8q^{17} + 2q^{18} + 2q^{19} + 44q^{20} - 4q^{21} - 4q^{22} - 18q^{23} + 4q^{24} - 28q^{26} - 32q^{28} - 18q^{29} - 14q^{31} - 8q^{32} + 4q^{33} - 66q^{34} + 22q^{35} + 6q^{36} - 24q^{37} + 24q^{38} + 8q^{39} - 26q^{42} - 6q^{43} - 20q^{44} + 4q^{45} - 58q^{46} - 28q^{47} - 60q^{48} + 8q^{49} + 70q^{50} + 28q^{52} - 80q^{53} - 4q^{54} + 60q^{55} - 54q^{56} + 16q^{57} - 4q^{58} - 42q^{59} - 58q^{60} + 36q^{61} + 52q^{62} + 4q^{63} + 14q^{65} + 26q^{67} - 72q^{68} + 2q^{69} - 116q^{70} - 4q^{71} + 4q^{72} + 12q^{73} - 18q^{74} + 16q^{75} - 48q^{76} + 28q^{77} - 14q^{78} - 4q^{79} - 98q^{80} - 16q^{81} + 20q^{82} - 36q^{83} - 18q^{84} - 10q^{85} - 40q^{86} + 96q^{88} - 54q^{89} + 4q^{90} + 148q^{91} - 4q^{92} + 2q^{93} + 60q^{95} + 22q^{96} - 40q^{97} + 36q^{98} + 4q^{99} + O(q^{100}) \)

Character values

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

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

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 0.967816 0.251661i \(-0.0809767\pi\)
0.712322 + 0.701852i \(0.247643\pi\)
\(3\) 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 \(-0.300381\pi\)
−0.809721 + 0.586816i \(0.800381\pi\)
\(6\) 2.37607 0.636667i 0.970028 0.259918i
\(7\) −2.62820 0.304236i −0.993367 0.114991i
\(8\) 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 −0.932522 0.361113i \(-0.882397\pi\)
0.988144 + 0.153528i \(0.0490636\pi\)
\(12\) 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 0.446898 + 0.894585i \(0.352529\pi\)
−0.998182 + 0.0602669i \(0.980805\pi\)
\(18\) 1.73941 1.73941i 0.409982 0.409982i
\(19\) 3.25000 0.870835i 0.745601 0.199783i 0.134035 0.990977i \(-0.457207\pi\)
0.611566 + 0.791193i \(0.290540\pi\)
\(20\) −0.739070 2.75825i −0.165261 0.616763i
\(21\) −2.42821 + 1.05062i −0.529878 + 0.229265i
\(22\) 0.876665 1.51843i 0.186906 0.323730i
\(23\) −1.67026 + 0.964326i −0.348274 + 0.201076i −0.663925 0.747799i \(-0.731110\pi\)
0.315651 + 0.948875i \(0.397777\pi\)
\(24\) 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
\(28\) −8.60436 6.39088i −1.62607 1.20776i
\(29\) 0.185925 + 0.322032i 0.0345254 + 0.0597998i 0.882772 0.469802i \(-0.155675\pi\)
−0.848246 + 0.529602i \(0.822341\pi\)
\(30\) −1.50164 0.866973i −0.274161 0.158287i
\(31\) 3.53994 + 3.53994i 0.635792 + 0.635792i 0.949515 0.313723i \(-0.101576\pi\)
−0.313723 + 0.949515i \(0.601576\pi\)
\(32\) 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
\(35\) 1.15833 + 1.46162i 0.195794 + 0.247058i
\(36\) 3.50833 2.02554i 0.584722 0.337589i
\(37\) −0.545727 + 2.03668i −0.0897169 + 0.334828i −0.996166 0.0874879i \(-0.972116\pi\)
0.906449 + 0.422316i \(0.138783\pi\)
\(38\) 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 −0.0825406 0.996588i \(-0.526303\pi\)
0.569776 0.821800i \(-0.307030\pi\)
\(42\) −6.43850 + 0.950401i −0.993482 + 0.146650i
\(43\) 6.38504 + 3.68640i 0.973709 + 0.562171i 0.900365 0.435136i \(-0.143300\pi\)
0.0733440 + 0.997307i \(0.476633\pi\)
\(44\) 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 \(-0.869643\pi\)
0.398177 + 0.917308i \(0.369643\pi\)
\(48\) 3.73174 + 2.15452i 0.538630 + 0.310978i
\(49\) 6.81488 + 1.59919i 0.973554 + 0.228455i
\(50\) 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
\(56\) −8.29109 10.4619i −1.10794 1.39803i
\(57\) 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 −0.999999 0.00132252i \(-0.999579\pi\)
0.865363 0.501145i \(-0.167088\pi\)
\(60\) −2.01918 2.01918i −0.260675 0.260675i
\(61\) 10.0720 + 5.81509i 1.28959 + 0.744546i 0.978581 0.205860i \(-0.0659992\pi\)
0.311011 + 0.950406i \(0.399333\pi\)
\(62\) 6.15739 + 10.6649i 0.781990 + 1.35445i
\(63\) −1.57758 + 2.12397i −0.198756 + 0.267595i
\(64\) 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 −0.612207 0.790697i \(-0.709718\pi\)
−0.925536 + 0.378660i \(0.876385\pi\)
\(68\) −15.9489 + 9.20809i −1.93409 + 1.11665i
\(69\) −0.964326 + 1.67026i −0.116091 + 0.201076i
\(70\) 1.82173 + 4.21038i 0.217738 + 0.503237i
\(71\) 2.10681 + 7.86274i 0.250033 + 0.933135i 0.970787 + 0.239944i \(0.0771291\pi\)
−0.720754 + 0.693191i \(0.756204\pi\)
\(72\) 4.87350 1.30585i 0.574347 0.153896i
\(73\) 0.608899 0.608899i 0.0712663 0.0712663i −0.670575 0.741842i \(-0.733953\pi\)
0.741842 + 0.670575i \(0.233953\pi\)
\(74\) −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 \(-0.305988\pi\)
−0.819930 + 0.572464i \(0.805988\pi\)
\(84\) −10.6470 1.23248i −1.16169 0.134475i
\(85\) 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 \(-0.829917\pi\)
−0.999942 + 0.0107329i \(0.996584\pi\)
\(90\) −1.73395 −0.182774
\(91\) 8.87249 3.50413i 0.930089 0.367333i
\(92\) −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 \(-0.431448\pi\)
0.673520 + 0.739169i \(0.264782\pi\)
\(98\) 15.1745 + 8.13860i 1.53286 + 0.822123i
\(99\) −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 −0.976763 0.214324i \(-0.931245\pi\)
0.302772 0.953063i \(-0.402088\pi\)
\(102\) −2.89429 + 10.8016i −0.286577 + 1.06952i
\(103\) 16.4565 1.62151 0.810756 0.585385i \(-0.199056\pi\)
0.810756 + 0.585385i \(0.199056\pi\)
\(104\) −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 0.914225 + 0.405208i \(0.132801\pi\)
−0.106192 + 0.994346i \(0.533866\pi\)
\(108\) 2.02554 3.50833i 0.194907 0.337589i
\(109\) 1.77768 1.77768i 0.170271 0.170271i −0.616827 0.787099i \(-0.711582\pi\)
0.787099 + 0.616827i \(0.211582\pi\)
\(110\) −1.19379 + 0.319874i −0.113823 + 0.0304988i
\(111\) 0.545727 + 2.03668i 0.0517981 + 0.193313i
\(112\) −4.52718 10.4632i −0.427778 0.988683i
\(113\) −2.96252 + 5.13124i −0.278691 + 0.482706i −0.971060 0.238837i \(-0.923234\pi\)
0.692369 + 0.721544i \(0.256567\pi\)
\(114\) 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
\(119\) 7.17167 9.65558i 0.657426 0.885125i
\(120\) −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
\(126\) −5.10070 + 4.04232i −0.454407 + 0.360118i
\(127\) −17.4169 + 10.0556i −1.54550 + 0.892293i −0.547019 + 0.837120i \(0.684238\pi\)
−0.998477 + 0.0551724i \(0.982429\pi\)
\(128\) 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
\(133\) −8.80659 + 1.29996i −0.763628 + 0.112721i
\(134\) −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 −0.800901 0.598797i \(-0.795646\pi\)
−0.394202 + 0.919024i \(0.628979\pi\)
\(138\) −3.35471 + 3.35471i −0.285572 + 0.285572i
\(139\) −6.95647 4.01632i −0.590040 0.340660i 0.175073 0.984555i \(-0.443984\pi\)
−0.765113 + 0.643896i \(0.777317\pi\)
\(140\) 1.10327 + 7.47408i 0.0932430 + 0.631675i
\(141\) −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
\(147\) 6.70145 2.02250i 0.552727 0.166813i
\(148\) −6.03996 + 6.03996i −0.496481 + 0.496481i
\(149\) −2.13325 7.96140i −0.174763 0.652223i −0.996592 0.0824894i \(-0.973713\pi\)
0.821829 0.569734i \(-0.192954\pi\)
\(150\) −2.86700 10.6998i −0.234089 0.873633i
\(151\) −4.15300 4.15300i −0.337966 0.337966i 0.517635 0.855601i \(-0.326812\pi\)
−0.855601 + 0.517635i \(0.826812\pi\)
\(152\) 14.7017 + 8.48802i 1.19246 + 0.688469i
\(153\) 2.27300 + 3.93695i 0.183761 + 0.318284i
\(154\) −2.76601 + 3.72402i −0.222892 + 0.300090i
\(155\) 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
\(161\) 4.68317 2.02629i 0.369085 0.159694i
\(162\) −0.636667 2.37607i −0.0500213 0.186682i
\(163\) 7.35195 1.96995i 0.575849 0.154298i 0.0408715 0.999164i \(-0.486987\pi\)
0.534978 + 0.844866i \(0.320320\pi\)
\(164\) 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 \(-0.318191\pi\)
0.0475517 + 0.998869i \(0.484858\pi\)
\(168\) −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 \(-0.699724\pi\)
0.994612 + 0.103667i \(0.0330577\pi\)
\(174\) 0.646798 + 0.646798i 0.0490337 + 0.0490337i
\(175\) −1.37002 + 11.8351i −0.103564 + 0.894653i
\(176\) 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 −0.141438 0.989947i \(-0.545172\pi\)
0.786601 + 0.617462i \(0.211839\pi\)
\(180\) −2.75825 0.739070i −0.205588 0.0550870i
\(181\) −3.96508 −0.294722 −0.147361 0.989083i \(-0.547078\pi\)
−0.147361 + 0.989083i \(0.547078\pi\)
\(182\) 23.3127 2.67726i 1.72805 0.198452i
\(183\) 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
\(189\) −0.304236 + 2.62820i −0.0221299 + 0.191173i
\(190\) −4.12534 4.12534i −0.299284 0.299284i
\(191\) −9.17881 + 15.8982i −0.664155 + 1.15035i 0.315358 + 0.948973i \(0.397875\pi\)
−0.979514 + 0.201378i \(0.935458\pi\)
\(192\) −3.68307 6.37926i −0.265803 0.460384i
\(193\) 4.24786 15.8532i 0.305767 1.14114i −0.626515 0.779409i \(-0.715519\pi\)
0.932283 0.361731i \(-0.117814\pi\)
\(194\) 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 0.455940 0.890011i \(-0.349303\pi\)
−0.0501498 + 0.998742i \(0.515970\pi\)
\(198\) −0.876665 1.51843i −0.0623019 0.107910i
\(199\) −9.61483 + 16.6534i −0.681578 + 1.18053i 0.292922 + 0.956136i \(0.405372\pi\)
−0.974499 + 0.224391i \(0.927961\pi\)
\(200\) 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
\(203\) −0.390675 0.902929i −0.0274200 0.0633732i
\(204\) −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
\(210\) 3.68285 + 2.73543i 0.254141 + 0.188763i
\(211\) −4.61920 8.00070i −0.317999 0.550791i 0.662071 0.749441i \(-0.269678\pi\)
−0.980070 + 0.198650i \(0.936344\pi\)
\(212\) −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
\(217\) −8.22669 10.3807i −0.558464 0.704684i
\(218\) 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 \(-0.896791\pi\)
0.980194 + 0.198041i \(0.0634578\pi\)
\(224\) −0.196634 1.33210i −0.0131382 0.0890046i
\(225\) −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 \(-0.524141\pi\)
0.432946 + 0.901420i \(0.357474\pi\)
\(228\) 13.1660 3.52781i 0.871938 0.233635i
\(229\) 0.153144 0.153144i 0.0101200 0.0101200i −0.702029 0.712149i \(-0.747722\pi\)
0.712149 + 0.702029i \(0.247722\pi\)
\(230\) 2.89615 + 1.67209i 0.190966 + 0.110254i
\(231\) 0.275384 + 1.86559i 0.0181189 + 0.122747i
\(232\) −0.485580 + 1.81221i −0.0318799 + 0.118977i
\(233\) 19.7822i 1.29598i −0.761650 0.647989i \(-0.775610\pi\)
0.761650 0.647989i \(-0.224390\pi\)
\(234\) −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
\(238\) 23.1878 18.3764i 1.50304 1.19116i
\(239\) −0.636908 + 0.636908i −0.0411982 + 0.0411982i −0.727406 0.686208i \(-0.759274\pi\)
0.686208 + 0.727406i \(0.259274\pi\)
\(240\) −0.786133 2.93389i −0.0507447 0.189382i
\(241\) −5.16499 19.2760i −0.332706 1.24168i −0.906335 0.422561i \(-0.861131\pi\)
0.573629 0.819116i \(-0.305535\pi\)
\(242\) 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
\(245\) −2.59966 4.19383i −0.166086 0.267934i
\(246\) 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 −0.0371651 + 0.999309i \(0.511833\pi\)
−0.846845 + 0.531840i \(0.821501\pi\)
\(252\) −9.83684 + 4.25615i −0.619663 + 0.268112i
\(253\) 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 \(-0.0756900\pi\)
−0.689925 + 0.723880i \(0.742357\pi\)
\(258\) 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 −0.961468 0.274917i \(-0.911350\pi\)
0.242649 0.970114i \(-0.421984\pi\)
\(264\) 1.79810 3.11441i 0.110666 0.191678i
\(265\) 2.48075 + 2.48075i 0.152391 + 0.152391i
\(266\) −21.7527 2.51806i −1.33375 0.154392i
\(267\) −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 −0.999672 0.0256040i \(-0.991849\pi\)
−0.522010 0.852939i \(-0.674818\pi\)
\(270\) −1.50164 + 0.866973i −0.0913870 + 0.0527623i
\(271\) −11.9008 3.18880i −0.722920 0.193706i −0.121446 0.992598i \(-0.538753\pi\)
−0.601474 + 0.798892i \(0.705420\pi\)
\(272\) −19.5889 −1.18775
\(273\) 5.93173 7.47091i 0.359005 0.452160i
\(274\) −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 0.0790140 0.996874i \(-0.474823\pi\)
−0.823811 + 0.566865i \(0.808156\pi\)
\(278\) −13.9720 13.9720i −0.837987 0.837987i
\(279\) 4.83565 1.29571i 0.289503 0.0775720i
\(280\) −1.08200 + 9.34706i −0.0646619 + 0.558594i
\(281\) −10.7886 10.7886i −0.643591 0.643591i 0.307845 0.951437i \(-0.400392\pi\)
−0.951437 + 0.307845i \(0.900392\pi\)
\(282\) −6.19052 + 10.7223i −0.368640 + 0.638503i
\(283\) −6.96923 12.0711i −0.414278 0.717550i 0.581075 0.813850i \(-0.302632\pi\)
−0.995352 + 0.0963004i \(0.969299\pi\)
\(284\) −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 −0.963849 0.266450i \(-0.914149\pi\)
0.701493 0.712677i \(-0.252517\pi\)
\(294\) 17.2108 0.539020i 1.00375 0.0314363i
\(295\) −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
\(301\) −15.6596 11.6312i −0.902606 0.670409i
\(302\) −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 \(-0.949419\pi\)
0.158237 + 0.987401i \(0.449419\pi\)
\(308\) −5.98730 + 4.74495i −0.341158 + 0.270369i
\(309\) 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 \(-0.431526\pi\)
0.213462 + 0.976951i \(0.431526\pi\)
\(312\) −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
\(315\) 1.84496 0.272339i 0.103952 0.0153446i
\(316\) 34.4356 + 19.8814i 1.93715 + 1.11842i
\(317\) 12.2598 12.2598i 0.688580 0.688580i −0.273338 0.961918i \(-0.588128\pi\)
0.961918 + 0.273338i \(0.0881278\pi\)
\(318\) −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
\(322\) 12.4176 1.83299i 0.692007 0.102149i
\(323\) −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
\(329\) 10.4365 8.27095i 0.575383 0.455992i
\(330\) −0.873913 + 0.873913i −0.0481073 + 0.0481073i
\(331\) 1.27846 + 4.77126i 0.0702703 + 0.262252i 0.992119 0.125297i \(-0.0399884\pi\)
−0.921849 + 0.387549i \(0.873322\pi\)
\(332\) −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
\(336\) −9.15227 6.79784i −0.499297 0.370853i
\(337\) 7.35624i 0.400720i 0.979722 + 0.200360i \(0.0642112\pi\)
−0.979722 + 0.200360i \(0.935789\pi\)
\(338\) 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
\(343\) −17.4243 6.27632i −0.940826 0.338890i
\(344\) 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 −0.820343 0.571872i \(-0.806218\pi\)
0.905427 + 0.424502i \(0.139551\pi\)
\(348\) 0.753196 + 1.30457i 0.0403755 + 0.0699325i
\(349\) −26.0697 6.98534i −1.39548 0.373917i −0.518758 0.854921i \(-0.673605\pi\)
−0.876718 + 0.481004i \(0.840272\pi\)
\(350\) −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 \(-0.961448\pi\)
0.920090 + 0.391706i \(0.128115\pi\)
\(354\) −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
\(357\) 1.38306 11.9478i 0.0731993 0.632345i
\(358\) 23.6824 6.34567i 1.25165 0.335379i
\(359\) 17.8470 + 17.8470i 0.941927 + 0.941927i 0.998404 0.0564767i \(-0.0179867\pi\)
−0.0564767 + 0.998404i \(0.517987\pi\)
\(360\) −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
\(364\) 38.2254 + 5.67788i 2.00355 + 0.297602i
\(365\) −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 \(-0.335532\pi\)
0.999976 + 0.00690739i \(0.00219871\pi\)
\(368\) −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
\(371\) 13.0809 + 1.51422i 0.679125 + 0.0786144i
\(372\) 14.3405 + 14.3405i 0.743523 + 0.743523i
\(373\) 13.8983 24.0726i 0.719627 1.24643i −0.241521 0.970396i \(-0.577646\pi\)
0.961148 0.276035i \(-0.0890204\pi\)
\(374\) 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 0.615645 0.788024i \(-0.288896\pi\)
0.139152 + 0.990271i \(0.455562\pi\)
\(380\) −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 \(-0.512824\pi\)
0.464713 + 0.885461i \(0.346158\pi\)
\(384\) −4.95322 18.4857i −0.252768 0.943344i
\(385\) 1.21998 0.527855i 0.0621759 0.0269020i
\(386\) 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 \(0.0928686\pi\)
−0.957740 + 0.287634i \(0.907131\pi\)
\(390\) 6.24859 + 0.201358i 0.316410 + 0.0101961i
\(391\) 8.76766i 0.443400i
\(392\) 18.6078 + 30.0184i 0.939834 + 1.51616i
\(393\) 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 −0.988106 0.153776i \(-0.950856\pi\)
0.778836 0.627227i \(-0.215810\pi\)
\(398\) −33.4482 + 33.4482i −1.67661 + 1.67661i
\(399\) −6.97675 + 5.52909i −0.349274 + 0.276801i
\(400\) 16.8045 9.70209i 0.840226 0.485105i
\(401\) −9.35796 + 34.9244i −0.467314 + 1.74404i 0.181787 + 0.983338i \(0.441812\pi\)
−0.649101 + 0.760702i \(0.724855\pi\)
\(402\) −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
\(406\) −0.353407 2.39416i −0.0175393 0.118820i
\(407\) 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 \(-0.466802\pi\)
0.587441 + 0.809267i \(0.300135\pi\)
\(410\) −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
\(413\) 1.54376 + 10.4582i 0.0759637 + 0.514616i
\(414\) −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 \(-0.485692\pi\)
0.887618 + 0.460580i \(0.152359\pi\)
\(420\) 4.69250 + 5.92111i 0.228970 + 0.288921i
\(421\) −7.69603 + 7.69603i −0.375082 + 0.375082i −0.869324 0.494243i \(-0.835445\pi\)
0.494243 + 0.869324i \(0.335445\pi\)
\(422\) −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
\(427\) −24.7022 18.3475i −1.19542 0.887898i
\(428\) 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 −0.437812 0.899067i \(-0.644246\pi\)
−0.828689 + 0.559709i \(0.810913\pi\)
\(432\) 3.73174 2.15452i 0.179543 0.103659i
\(433\) −6.55214 + 11.3486i −0.314876 + 0.545381i −0.979411 0.201876i \(-0.935296\pi\)
0.664535 + 0.747257i \(0.268629\pi\)
\(434\) −12.9382 29.9029i −0.621054 1.43538i
\(435\) −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 0.742477 + 0.669872i \(0.233651\pi\)
0.208887 + 0.977940i \(0.433016\pi\)
\(440\) −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
\(448\) −2.24105 + 19.3597i −0.105880 + 0.914659i
\(449\) 15.6281 4.18754i 0.737536 0.197622i 0.129553 0.991572i \(-0.458646\pi\)
0.607983 + 0.793950i \(0.291979\pi\)
\(450\) −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
\(455\) −6.16888 2.67575i −0.289202 0.125441i
\(456\) 16.9760 0.794976
\(457\) 0.658952 + 0.176566i 0.0308245 + 0.00825939i 0.274198 0.961673i \(-0.411588\pi\)
−0.243374 + 0.969933i \(0.578254\pi\)
\(458\) 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 \(-0.520908\pi\)
0.442078 + 0.896977i \(0.354241\pi\)
\(462\) −0.533427 + 4.60810i −0.0248173 + 0.214388i
\(463\) 22.3879 + 22.3879i 1.04045 + 1.04045i 0.999146 + 0.0413082i \(0.0131525\pi\)
0.0413082 + 0.999146i \(0.486847\pi\)
\(464\) −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 \(-0.601762\pi\)
−0.314277 + 0.949331i \(0.601762\pi\)
\(468\) −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
\(476\) 44.7183 19.3485i 2.04966 0.886836i
\(477\) −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 \(-0.447070\pi\)
−0.349759 + 0.936840i \(0.613737\pi\)
\(480\) 0.358746i 0.0163745i
\(481\) −1.73011 7.40292i −0.0788863 0.337544i
\(482\) 49.0896i 2.23597i
\(483\) 3.04260 4.09640i 0.138443 0.186393i
\(484\) 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 0.992519 + 0.122090i \(0.0389598\pi\)
−0.798501 + 0.601993i \(0.794374\pi\)
\(488\) 15.1873 + 56.6797i 0.687496 + 2.56577i
\(489\) 5.38200 5.38200i 0.243383 0.243383i
\(490\) −3.50691 11.6200i −0.158426 0.524936i
\(491\) 27.7156 16.0016i 1.25079 0.722143i 0.279523 0.960139i \(-0.409824\pi\)
0.971266 + 0.237996i \(0.0764905\pi\)
\(492\) 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
\(497\) −3.14500 21.3058i −0.141073 0.955697i
\(498\) −6.79228 3.92152i −0.304369 0.175728i
\(499\) −14.4246 + 14.4246i −0.645734 + 0.645734i −0.951959 0.306225i \(-0.900934\pi\)
0.306225 + 0.951959i \(0.400934\pi\)
\(500\) −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 \(-0.125134\pi\)
0.130109 + 0.991500i \(0.458467\pi\)
\(504\) −13.2058 + 1.94934i −0.588234 + 0.0868305i
\(505\) −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 −0.509030 0.860749i \(-0.669996\pi\)
0.871207 0.490916i \(-0.163338\pi\)
\(510\) 6.82647 3.94126i 0.302281 0.174522i
\(511\) −1.78556 + 1.41506i −0.0789885 + 0.0625986i
\(512\) 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
\(518\) 8.18249 11.0165i 0.359518 0.484037i
\(519\) 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 \(-0.606492\pi\)
0.653836 + 0.756636i \(0.273159\pi\)
\(524\) −24.4678 + 42.3794i −1.06888 + 1.85135i
\(525\) 4.73110 + 10.9345i 0.206482 + 0.477223i
\(526\) −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
\(539\) 2.35820 4.39689i 0.101575 0.189388i
\(540\) −2.75825 + 0.739070i −0.118696 + 0.0318045i
\(541\) 6.09190 + 6.09190i 0.261911 + 0.261911i 0.825830 0.563919i \(-0.190707\pi\)
−0.563919 + 0.825830i \(0.690707\pi\)
\(542\) −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
\(546\) 18.8507 13.9749i 0.806736 0.598071i
\(547\) 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
\(553\) −25.7968 2.98619i −1.09699 0.126986i
\(554\) −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 0.0129131 + 0.999917i \(0.495890\pi\)
−0.511141 + 0.859497i \(0.670777\pi\)
\(558\) 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 0.468354 + 0.883541i \(0.344847\pi\)
−0.999346 + 0.0361636i \(0.988486\pi\)
\(564\) −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
\(567\) 1.05062 + 2.42821i 0.0441221 + 0.101975i
\(568\) −20.5351 + 35.5679i −0.861634 + 1.49239i
\(569\) 13.9572 8.05819i 0.585116 0.337817i −0.178048 0.984022i \(-0.556978\pi\)
0.763164 + 0.646205i \(0.223645\pi\)
\(570\) −5.63532 1.50998i −0.236038 0.0632461i
\(571\) 13.5825i 0.568409i −0.958764 0.284204i \(-0.908271\pi\)
0.958764 0.284204i \(-0.0917294\pi\)
\(572\) −3.01703 + 9.96418i −0.126149 + 0.416623i
\(573\) 18.3576i 0.766900i
\(574\) −46.7780 + 62.9795i −1.95247 + 2.62871i
\(575\) 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 0.807528 + 0.589829i \(0.200805\pi\)
0.589829 + 0.807528i \(0.299195\pi\)
\(578\) −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
\(581\) 5.23942 + 6.61123i 0.217368 + 0.274280i
\(582\) 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 0.705607 + 0.708603i \(0.250674\pi\)
−0.965375 + 0.260864i \(0.915992\pi\)
\(588\) 27.6076 + 6.47843i 1.13852 + 0.267166i
\(589\) 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 \(-0.844387\pi\)
0.469631 + 0.882863i \(0.344387\pi\)
\(594\) −1.51843 0.876665i −0.0623019 0.0359700i
\(595\) −8.38721 + 1.23805i −0.343842 + 0.0507553i
\(596\) 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 \(-0.525197\pi\)
0.823775 + 0.566917i \(0.191864\pi\)
\(602\) −29.8032 37.6065i −1.21469 1.53273i
\(603\) −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 \(-0.444769\pi\)
−0.766700 + 0.642006i \(0.778102\pi\)
\(608\) 0.856205 + 1.48299i 0.0347237 + 0.0601432i
\(609\) −0.789798 0.586622i −0.0320042 0.0237711i
\(610\) 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 0.593640 0.804731i \(-0.297690\pi\)
0.111742 + 0.993737i \(0.464357\pi\)
\(614\) −43.7695 + 25.2703i −1.76639 + 1.01983i
\(615\) −4.24839 + 7.35842i −0.171312 + 0.296720i
\(616\) −8.73233 + 3.77826i −0.351836 + 0.152230i
\(617\) 5.54500 + 20.6942i 0.223233 + 0.833118i 0.983105 + 0.183045i \(0.0585952\pi\)
−0.759871 + 0.650074i \(0.774738\pi\)
\(618\) 39.1020 10.4773i 1.57291 0.421460i
\(619\) 19.4756 19.4756i 0.782790 0.782790i −0.197511 0.980301i \(-0.563286\pi\)
0.980301 + 0.197511i \(0.0632857\pi\)
\(620\) 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
\(630\) 4.55716 + 0.527529i 0.181562 + 0.0210173i
\(631\) −20.8332 + 5.58224i −0.829356 + 0.222225i −0.648433 0.761272i \(-0.724575\pi\)
−0.180923 + 0.983497i \(0.557909\pi\)
\(632\) 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
\(637\) −24.3848 + 6.51023i −0.966160 + 0.257945i
\(638\) 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 0.908584 0.417701i \(-0.137164\pi\)
0.0925521 + 0.995708i \(0.470498\pi\)
\(642\) 29.0772 + 29.0772i 1.14758 + 1.14758i
\(643\) 12.4873 3.34595i 0.492449 0.131951i −0.00404423 0.999992i \(-0.501287\pi\)
0.496494 + 0.868040i \(0.334621\pi\)
\(644\) 20.5344 + 2.37703i 0.809170 + 0.0936682i
\(645\) −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 −0.952137 0.305672i \(-0.901119\pi\)
0.211348 0.977411i \(-0.432215\pi\)
\(648\) 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 −0.930021 0.367507i \(-0.880212\pi\)
0.146740 0.989175i \(-0.453122\pi\)
\(654\) 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
\(658\) 30.0637 13.0078i 1.17201 0.507097i
\(659\) 15.0023 25.9848i 0.584407 1.01222i −0.410542 0.911842i \(-0.634660\pi\)
0.994949 0.100381i \(-0.0320062\pi\)
\(660\) −1.76266 + 1.01767i −0.0686113 + 0.0396128i
\(661\) −19.0751 5.11115i −0.741934 0.198801i −0.131996 0.991250i \(-0.542139\pi\)
−0.609937 + 0.792450i \(0.708805\pi\)
\(662\) 12.1508i 0.472255i
\(663\) −7.73399 14.4515i −0.300363 0.561249i
\(664\) 16.0866i 0.624283i
\(665\) 5.03741 + 3.74153i 0.195342 + 0.145090i
\(666\) 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
\(672\) −0.836340 1.05531i −0.0322625 0.0407096i
\(673\) −39.4906 + 22.7999i −1.52225 + 0.878872i −0.522597 + 0.852580i \(0.675037\pi\)
−0.999654 + 0.0262924i \(0.991630\pi\)
\(674\) −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
\(679\) −23.6778 + 3.49514i −0.908672 + 0.134131i
\(680\) 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 0.677290 0.735716i \(-0.263154\pi\)
0.954408 + 0.298504i \(0.0964875\pi\)
\(684\) 9.63816 9.63816i 0.368524 0.368524i
\(685\) 8.84040 + 5.10401i 0.337774 + 0.195014i
\(686\) −37.4056 26.0065i −1.42815 0.992933i
\(687\) 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 −0.592068 0.805888i \(-0.701688\pi\)
0.915690 0.401885i \(-0.131645\pi\)
\(692\) 37.6106 21.7145i 1.42974 0.825462i
\(693\) 1.17128 + 1.47796i 0.0444934 + 0.0561429i
\(694\) 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
\(700\) −28.7790 + 38.7466i −1.08774 + 1.46448i
\(701\) 8.83206i 0.333582i 0.985992 + 0.166791i \(0.0533406\pi\)
−0.985992 + 0.166791i \(0.946659\pi\)
\(702\) 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
\(707\) 14.2329 + 32.8950i 0.535282 + 1.23715i
\(708\) −4.18944 15.6352i −0.157449 0.587607i
\(709\) 28.7065 7.69188i 1.07809 0.288874i 0.324279 0.945961i \(-0.394878\pi\)
0.753815 + 0.657087i \(0.228212\pi\)
\(710\) 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 0.273990 + 0.961733i \(0.411657\pi\)
−0.969880 + 0.243584i \(0.921677\pi\)
\(720\) −2.14776 2.14776i −0.0800421 0.0800421i
\(721\) −43.2511 5.00668i −1.61076 0.186458i
\(722\) −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 \(-0.558690\pi\)
−0.183337 + 0.983050i \(0.558690\pi\)
\(728\) 44.1554 + 19.1524i 1.63651 + 0.709835i
\(729\) −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 \(-0.125881\pi\)
−0.385240 + 0.922817i \(0.625881\pi\)
\(734\) 78.5250 21.0407i 2.89841 0.776626i
\(735\) −4.34828 2.33213i −0.160389 0.0860220i
\(736\) −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 −0.0926405 0.995700i \(-0.529531\pi\)
0.578079 0.815981i \(-0.303803\pi\)
\(740\) 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 0.00448658 0.999990i \(-0.498572\pi\)
−0.496109 + 0.868260i \(0.665239\pi\)
\(744\) 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
\(749\) −17.5630 40.5916i −0.641737 1.48319i
\(750\) −8.23896 + 14.2703i −0.300844 + 0.521078i
\(751\) −7.39608 + 4.27013i −0.269887 + 0.155819i −0.628836 0.777538i \(-0.716468\pi\)
0.358949 + 0.933357i \(0.383135\pi\)
\(752\) −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
\(756\) −6.39088 + 8.60436i −0.232434 + 0.312937i
\(757\) −5.08375 8.80531i −0.184772 0.320034i 0.758728 0.651408i \(-0.225821\pi\)
−0.943500 + 0.331374i \(0.892488\pi\)
\(758\) 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 \(-0.0615632\pi\)
−0.945980 + 0.324225i \(0.894897\pi\)
\(762\) −34.9816 + 34.9816i −1.26725 + 1.26725i
\(763\) −5.21295 + 4.13128i −0.188721 + 0.149562i
\(764\) −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 \(-0.941558\pi\)
0.942756 + 0.333484i \(0.108224\pi\)
\(770\) 3.23483 0.477501i 0.116575 0.0172079i
\(771\) 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 \(-0.493460\pi\)
0.517687 + 0.855570i \(0.326793\pi\)