Properties

Label 252.2.ba.a.155.6
Level $252$
Weight $2$
Character 252.155
Analytic conductor $2.012$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 252.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.01223013094\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 155.6
Character \(\chi\) \(=\) 252.155
Dual form 252.2.ba.a.239.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.24454 + 0.671660i) q^{2} +(-0.586217 - 1.62983i) q^{3} +(1.09775 - 1.67181i) q^{4} +(-2.16781 + 1.25159i) q^{5} +(1.82426 + 1.63465i) q^{6} +(-0.866025 - 0.500000i) q^{7} +(-0.243298 + 2.81794i) q^{8} +(-2.31270 + 1.91087i) q^{9} +O(q^{10})\) \(q+(-1.24454 + 0.671660i) q^{2} +(-0.586217 - 1.62983i) q^{3} +(1.09775 - 1.67181i) q^{4} +(-2.16781 + 1.25159i) q^{5} +(1.82426 + 1.63465i) q^{6} +(-0.866025 - 0.500000i) q^{7} +(-0.243298 + 2.81794i) q^{8} +(-2.31270 + 1.91087i) q^{9} +(1.85728 - 3.01367i) q^{10} +(0.351433 - 0.608700i) q^{11} +(-3.36829 - 0.809097i) q^{12} +(1.55324 + 2.69030i) q^{13} +(1.41363 + 0.0405943i) q^{14} +(3.31068 + 2.79946i) q^{15} +(-1.58991 - 3.67045i) q^{16} +7.91554i q^{17} +(1.59479 - 3.93150i) q^{18} +2.37413i q^{19} +(-0.287291 + 4.99809i) q^{20} +(-0.307237 + 1.70458i) q^{21} +(-0.0285324 + 0.993594i) q^{22} +(0.346619 + 0.600362i) q^{23} +(4.73540 - 1.25539i) q^{24} +(0.632931 - 1.09627i) q^{25} +(-3.74003 - 2.30492i) q^{26} +(4.47014 + 2.64912i) q^{27} +(-1.78658 + 0.898958i) q^{28} +(-8.70126 - 5.02368i) q^{29} +(-6.00055 - 1.26039i) q^{30} +(-7.34846 + 4.24264i) q^{31} +(4.44399 + 3.50014i) q^{32} +(-1.19809 - 0.215946i) q^{33} +(-5.31655 - 9.85118i) q^{34} +2.50317 q^{35} +(0.655856 + 5.96405i) q^{36} +2.85107 q^{37} +(-1.59460 - 2.95469i) q^{38} +(3.47419 - 4.10862i) q^{39} +(-2.99947 - 6.41327i) q^{40} +(5.82034 - 3.36037i) q^{41} +(-0.762533 - 2.32778i) q^{42} +(-3.17043 - 1.83045i) q^{43} +(-0.631847 - 1.25573i) q^{44} +(2.62187 - 7.03694i) q^{45} +(-0.834620 - 0.514363i) q^{46} +(-3.67787 + 6.37026i) q^{47} +(-5.05018 + 4.74296i) q^{48} +(0.500000 + 0.866025i) q^{49} +(-0.0513868 + 1.78946i) q^{50} +(12.9010 - 4.64022i) q^{51} +(6.20273 + 0.356534i) q^{52} +0.889576i q^{53} +(-7.34256 - 0.294523i) q^{54} +1.75939i q^{55} +(1.61967 - 2.31876i) q^{56} +(3.86942 - 1.39175i) q^{57} +(14.2032 + 0.407865i) q^{58} +(-3.63052 - 6.28824i) q^{59} +(8.31446 - 2.46173i) q^{60} +(-2.39732 + 4.15228i) q^{61} +(6.29583 - 10.2158i) q^{62} +(2.95829 - 0.498512i) q^{63} +(-7.88161 - 1.37120i) q^{64} +(-6.73427 - 3.88803i) q^{65} +(1.63612 - 0.535959i) q^{66} +(7.40811 - 4.27707i) q^{67} +(13.2333 + 8.68925i) q^{68} +(0.775295 - 0.916874i) q^{69} +(-3.11529 + 1.68128i) q^{70} -6.34514 q^{71} +(-4.82205 - 6.98197i) q^{72} +8.20222 q^{73} +(-3.54826 + 1.91495i) q^{74} +(-2.15777 - 0.388920i) q^{75} +(3.96909 + 2.60619i) q^{76} +(-0.608700 + 0.351433i) q^{77} +(-1.56416 + 7.44681i) q^{78} +(-2.27268 - 1.31214i) q^{79} +(8.04049 + 5.96693i) q^{80} +(1.69715 - 8.83853i) q^{81} +(-4.98660 + 8.09139i) q^{82} +(6.50432 - 11.2658i) q^{83} +(2.51247 + 2.38484i) q^{84} +(-9.90697 - 17.1594i) q^{85} +(5.17515 + 0.148611i) q^{86} +(-3.08692 + 17.1266i) q^{87} +(1.62978 + 1.13841i) q^{88} +1.71842i q^{89} +(1.46341 + 10.5187i) q^{90} -3.10649i q^{91} +(1.38419 + 0.0795635i) q^{92} +(11.2226 + 9.48965i) q^{93} +(0.298601 - 10.3983i) q^{94} +(-2.97142 - 5.14665i) q^{95} +(3.09949 - 9.29479i) q^{96} +(-6.81083 + 11.7967i) q^{97} +(-1.20394 - 0.741971i) q^{98} +(0.350387 + 2.07928i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 6 q^{6} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 72 q + 6 q^{6} + 4 q^{9} - 12 q^{12} - 34 q^{18} - 42 q^{20} - 2 q^{24} + 36 q^{25} + 28 q^{30} + 30 q^{32} - 44 q^{33} - 12 q^{34} + 20 q^{36} - 12 q^{40} - 60 q^{41} + 20 q^{42} - 24 q^{45} - 24 q^{46} - 28 q^{48} + 36 q^{49} - 78 q^{50} - 18 q^{52} - 10 q^{54} - 4 q^{57} - 18 q^{58} - 76 q^{60} - 60 q^{64} + 24 q^{65} + 54 q^{66} + 78 q^{68} + 24 q^{69} + 74 q^{72} - 24 q^{73} + 12 q^{76} - 20 q^{78} - 4 q^{81} - 36 q^{82} + 14 q^{84} + 30 q^{86} + 24 q^{88} + 8 q^{90} - 114 q^{92} - 96 q^{93} + 42 q^{94} + 112 q^{96} - 12 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(73\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.24454 + 0.671660i −0.880021 + 0.474935i
\(3\) −0.586217 1.62983i −0.338453 0.940983i
\(4\) 1.09775 1.67181i 0.548873 0.835906i
\(5\) −2.16781 + 1.25159i −0.969474 + 0.559726i −0.899076 0.437793i \(-0.855760\pi\)
−0.0703980 + 0.997519i \(0.522427\pi\)
\(6\) 1.82426 + 1.63465i 0.744751 + 0.667342i
\(7\) −0.866025 0.500000i −0.327327 0.188982i
\(8\) −0.243298 + 2.81794i −0.0860189 + 0.996294i
\(9\) −2.31270 + 1.91087i −0.770900 + 0.636957i
\(10\) 1.85728 3.01367i 0.587324 0.953008i
\(11\) 0.351433 0.608700i 0.105961 0.183530i −0.808169 0.588950i \(-0.799541\pi\)
0.914130 + 0.405420i \(0.132875\pi\)
\(12\) −3.36829 0.809097i −0.972341 0.233566i
\(13\) 1.55324 + 2.69030i 0.430792 + 0.746154i 0.996942 0.0781487i \(-0.0249009\pi\)
−0.566150 + 0.824302i \(0.691568\pi\)
\(14\) 1.41363 + 0.0405943i 0.377809 + 0.0108493i
\(15\) 3.31068 + 2.79946i 0.854814 + 0.722818i
\(16\) −1.58991 3.67045i −0.397476 0.917612i
\(17\) 7.91554i 1.91980i 0.280343 + 0.959900i \(0.409552\pi\)
−0.280343 + 0.959900i \(0.590448\pi\)
\(18\) 1.59479 3.93150i 0.375895 0.926662i
\(19\) 2.37413i 0.544662i 0.962204 + 0.272331i \(0.0877945\pi\)
−0.962204 + 0.272331i \(0.912205\pi\)
\(20\) −0.287291 + 4.99809i −0.0642401 + 1.11761i
\(21\) −0.307237 + 1.70458i −0.0670445 + 0.371971i
\(22\) −0.0285324 + 0.993594i −0.00608312 + 0.211835i
\(23\) 0.346619 + 0.600362i 0.0722751 + 0.125184i 0.899898 0.436100i \(-0.143641\pi\)
−0.827623 + 0.561284i \(0.810307\pi\)
\(24\) 4.73540 1.25539i 0.966609 0.256256i
\(25\) 0.632931 1.09627i 0.126586 0.219254i
\(26\) −3.74003 2.30492i −0.733481 0.452033i
\(27\) 4.47014 + 2.64912i 0.860279 + 0.509824i
\(28\) −1.78658 + 0.898958i −0.337632 + 0.169887i
\(29\) −8.70126 5.02368i −1.61578 0.932873i −0.987994 0.154490i \(-0.950627\pi\)
−0.627789 0.778383i \(-0.716040\pi\)
\(30\) −6.00055 1.26039i −1.09555 0.230114i
\(31\) −7.34846 + 4.24264i −1.31982 + 0.762000i −0.983700 0.179818i \(-0.942449\pi\)
−0.336123 + 0.941818i \(0.609116\pi\)
\(32\) 4.44399 + 3.50014i 0.785594 + 0.618743i
\(33\) −1.19809 0.215946i −0.208561 0.0375914i
\(34\) −5.31655 9.85118i −0.911780 1.68946i
\(35\) 2.50317 0.423113
\(36\) 0.655856 + 5.96405i 0.109309 + 0.994008i
\(37\) 2.85107 0.468712 0.234356 0.972151i \(-0.424702\pi\)
0.234356 + 0.972151i \(0.424702\pi\)
\(38\) −1.59460 2.95469i −0.258679 0.479314i
\(39\) 3.47419 4.10862i 0.556316 0.657906i
\(40\) −2.99947 6.41327i −0.474258 1.01403i
\(41\) 5.82034 3.36037i 0.908984 0.524802i 0.0288798 0.999583i \(-0.490806\pi\)
0.880104 + 0.474781i \(0.157473\pi\)
\(42\) −0.762533 2.32778i −0.117661 0.359184i
\(43\) −3.17043 1.83045i −0.483485 0.279140i 0.238383 0.971171i \(-0.423383\pi\)
−0.721868 + 0.692031i \(0.756716\pi\)
\(44\) −0.631847 1.25573i −0.0952545 0.189308i
\(45\) 2.62187 7.03694i 0.390846 1.04901i
\(46\) −0.834620 0.514363i −0.123058 0.0758387i
\(47\) −3.67787 + 6.37026i −0.536473 + 0.929198i 0.462618 + 0.886558i \(0.346910\pi\)
−0.999091 + 0.0426400i \(0.986423\pi\)
\(48\) −5.05018 + 4.74296i −0.728931 + 0.684587i
\(49\) 0.500000 + 0.866025i 0.0714286 + 0.123718i
\(50\) −0.0513868 + 1.78946i −0.00726719 + 0.253068i
\(51\) 12.9010 4.64022i 1.80650 0.649761i
\(52\) 6.20273 + 0.356534i 0.860164 + 0.0494423i
\(53\) 0.889576i 0.122193i 0.998132 + 0.0610964i \(0.0194597\pi\)
−0.998132 + 0.0610964i \(0.980540\pi\)
\(54\) −7.34256 0.294523i −0.999196 0.0400795i
\(55\) 1.75939i 0.237237i
\(56\) 1.61967 2.31876i 0.216438 0.309858i
\(57\) 3.86942 1.39175i 0.512518 0.184342i
\(58\) 14.2032 + 0.407865i 1.86498 + 0.0535553i
\(59\) −3.63052 6.28824i −0.472653 0.818660i 0.526857 0.849954i \(-0.323370\pi\)
−0.999510 + 0.0312945i \(0.990037\pi\)
\(60\) 8.31446 2.46173i 1.07339 0.317808i
\(61\) −2.39732 + 4.15228i −0.306946 + 0.531645i −0.977693 0.210041i \(-0.932640\pi\)
0.670747 + 0.741686i \(0.265974\pi\)
\(62\) 6.29583 10.2158i 0.799571 1.29741i
\(63\) 2.95829 0.498512i 0.372710 0.0628066i
\(64\) −7.88161 1.37120i −0.985201 0.171400i
\(65\) −6.73427 3.88803i −0.835283 0.482251i
\(66\) 1.63612 0.535959i 0.201392 0.0659719i
\(67\) 7.40811 4.27707i 0.905044 0.522528i 0.0262109 0.999656i \(-0.491656\pi\)
0.878833 + 0.477129i \(0.158323\pi\)
\(68\) 13.2333 + 8.68925i 1.60477 + 1.05373i
\(69\) 0.775295 0.916874i 0.0933345 0.110379i
\(70\) −3.11529 + 1.68128i −0.372348 + 0.200951i
\(71\) −6.34514 −0.753030 −0.376515 0.926411i \(-0.622878\pi\)
−0.376515 + 0.926411i \(0.622878\pi\)
\(72\) −4.82205 6.98197i −0.568284 0.822833i
\(73\) 8.20222 0.959998 0.479999 0.877269i \(-0.340637\pi\)
0.479999 + 0.877269i \(0.340637\pi\)
\(74\) −3.54826 + 1.91495i −0.412477 + 0.222608i
\(75\) −2.15777 0.388920i −0.249158 0.0449086i
\(76\) 3.96909 + 2.60619i 0.455286 + 0.298950i
\(77\) −0.608700 + 0.351433i −0.0693678 + 0.0400495i
\(78\) −1.56416 + 7.44681i −0.177107 + 0.843185i
\(79\) −2.27268 1.31214i −0.255697 0.147627i 0.366673 0.930350i \(-0.380497\pi\)
−0.622370 + 0.782723i \(0.713830\pi\)
\(80\) 8.04049 + 5.96693i 0.898954 + 0.667123i
\(81\) 1.69715 8.83853i 0.188573 0.982059i
\(82\) −4.98660 + 8.09139i −0.550678 + 0.893545i
\(83\) 6.50432 11.2658i 0.713942 1.23658i −0.249425 0.968394i \(-0.580241\pi\)
0.963366 0.268189i \(-0.0864252\pi\)
\(84\) 2.51247 + 2.38484i 0.274133 + 0.260208i
\(85\) −9.90697 17.1594i −1.07456 1.86120i
\(86\) 5.17515 + 0.148611i 0.558051 + 0.0160252i
\(87\) −3.08692 + 17.1266i −0.330952 + 1.83616i
\(88\) 1.62978 + 1.13841i 0.173735 + 0.121355i
\(89\) 1.71842i 0.182152i 0.995844 + 0.0910760i \(0.0290306\pi\)
−0.995844 + 0.0910760i \(0.970969\pi\)
\(90\) 1.46341 + 10.5187i 0.154257 + 1.10877i
\(91\) 3.10649i 0.325648i
\(92\) 1.38419 + 0.0795635i 0.144312 + 0.00829507i
\(93\) 11.2226 + 9.48965i 1.16373 + 0.984031i
\(94\) 0.298601 10.3983i 0.0307984 1.07250i
\(95\) −2.97142 5.14665i −0.304861 0.528035i
\(96\) 3.09949 9.29479i 0.316340 0.948646i
\(97\) −6.81083 + 11.7967i −0.691535 + 1.19777i 0.279800 + 0.960058i \(0.409732\pi\)
−0.971335 + 0.237716i \(0.923601\pi\)
\(98\) −1.20394 0.741971i −0.121617 0.0749504i
\(99\) 0.350387 + 2.07928i 0.0352153 + 0.208976i
\(100\) −1.13796 2.26157i −0.113796 0.226157i
\(101\) 2.23784 + 1.29202i 0.222673 + 0.128560i 0.607187 0.794559i \(-0.292298\pi\)
−0.384514 + 0.923119i \(0.625631\pi\)
\(102\) −12.9391 + 14.4400i −1.28116 + 1.42977i
\(103\) −11.6579 + 6.73069i −1.14869 + 0.663195i −0.948567 0.316576i \(-0.897467\pi\)
−0.200120 + 0.979771i \(0.564133\pi\)
\(104\) −7.95900 + 3.72241i −0.780444 + 0.365012i
\(105\) −1.46740 4.07975i −0.143204 0.398142i
\(106\) −0.597493 1.10711i −0.0580336 0.107532i
\(107\) −17.0371 −1.64703 −0.823517 0.567291i \(-0.807991\pi\)
−0.823517 + 0.567291i \(0.807991\pi\)
\(108\) 9.33592 4.56516i 0.898349 0.439283i
\(109\) −2.43459 −0.233191 −0.116596 0.993179i \(-0.537198\pi\)
−0.116596 + 0.993179i \(0.537198\pi\)
\(110\) −1.18171 2.18963i −0.112672 0.208773i
\(111\) −1.67134 4.64675i −0.158637 0.441050i
\(112\) −0.458326 + 3.97366i −0.0433078 + 0.375475i
\(113\) −4.13789 + 2.38901i −0.389260 + 0.224739i −0.681839 0.731502i \(-0.738820\pi\)
0.292580 + 0.956241i \(0.405486\pi\)
\(114\) −3.88086 + 4.33103i −0.363476 + 0.405638i
\(115\) −1.50281 0.867647i −0.140138 0.0809085i
\(116\) −17.9504 + 9.03215i −1.66665 + 0.838614i
\(117\) −8.73299 3.25380i −0.807365 0.300814i
\(118\) 8.74188 + 5.38748i 0.804755 + 0.495958i
\(119\) 3.95777 6.85506i 0.362808 0.628402i
\(120\) −8.69421 + 8.64820i −0.793669 + 0.789469i
\(121\) 5.25299 + 9.09844i 0.477544 + 0.827131i
\(122\) 0.194635 6.77786i 0.0176214 0.613638i
\(123\) −8.88882 7.51626i −0.801478 0.677718i
\(124\) −0.973861 + 16.9426i −0.0874553 + 1.52149i
\(125\) 9.34718i 0.836037i
\(126\) −3.34687 + 2.60738i −0.298163 + 0.232284i
\(127\) 4.91393i 0.436041i 0.975944 + 0.218020i \(0.0699599\pi\)
−0.975944 + 0.218020i \(0.930040\pi\)
\(128\) 10.7299 3.58725i 0.948402 0.317071i
\(129\) −1.12476 + 6.24030i −0.0990296 + 0.549427i
\(130\) 10.9925 + 0.315664i 0.964105 + 0.0276855i
\(131\) 2.61968 + 4.53741i 0.228882 + 0.396435i 0.957477 0.288509i \(-0.0931596\pi\)
−0.728595 + 0.684945i \(0.759826\pi\)
\(132\) −1.67623 + 1.76593i −0.145897 + 0.153705i
\(133\) 1.18706 2.05605i 0.102931 0.178282i
\(134\) −6.34693 + 10.2987i −0.548291 + 0.889672i
\(135\) −13.0060 0.148038i −1.11938 0.0127411i
\(136\) −22.3055 1.92584i −1.91268 0.165139i
\(137\) 9.03659 + 5.21728i 0.772048 + 0.445742i 0.833605 0.552361i \(-0.186273\pi\)
−0.0615566 + 0.998104i \(0.519606\pi\)
\(138\) −0.349056 + 1.66182i −0.0297137 + 0.141463i
\(139\) −10.2848 + 5.93796i −0.872349 + 0.503651i −0.868128 0.496340i \(-0.834677\pi\)
−0.00422072 + 0.999991i \(0.501344\pi\)
\(140\) 2.74785 4.18483i 0.232235 0.353683i
\(141\) 12.5385 + 2.25995i 1.05593 + 0.190322i
\(142\) 7.89677 4.26178i 0.662682 0.357640i
\(143\) 2.18344 0.182589
\(144\) 10.6907 + 5.45054i 0.890894 + 0.454212i
\(145\) 25.1502 2.08861
\(146\) −10.2080 + 5.50910i −0.844818 + 0.455937i
\(147\) 1.11837 1.32259i 0.0922413 0.109086i
\(148\) 3.12975 4.76644i 0.257264 0.391799i
\(149\) 15.3300 8.85079i 1.25588 0.725085i 0.283612 0.958939i \(-0.408467\pi\)
0.972272 + 0.233854i \(0.0751337\pi\)
\(150\) 2.94665 0.965262i 0.240593 0.0788133i
\(151\) 18.1796 + 10.4960i 1.47944 + 0.854152i 0.999729 0.0232767i \(-0.00740988\pi\)
0.479706 + 0.877429i \(0.340743\pi\)
\(152\) −6.69015 0.577621i −0.542643 0.0468512i
\(153\) −15.1256 18.3063i −1.22283 1.47997i
\(154\) 0.521507 0.846211i 0.0420242 0.0681896i
\(155\) 10.6200 18.3945i 0.853022 1.47748i
\(156\) −3.05506 10.3184i −0.244600 0.826134i
\(157\) −0.841990 1.45837i −0.0671981 0.116391i 0.830469 0.557065i \(-0.188073\pi\)
−0.897667 + 0.440675i \(0.854739\pi\)
\(158\) 3.70975 + 0.106530i 0.295132 + 0.00847510i
\(159\) 1.44986 0.521485i 0.114981 0.0413564i
\(160\) −14.0144 2.02560i −1.10794 0.160137i
\(161\) 0.693239i 0.0546349i
\(162\) 3.82431 + 12.1398i 0.300467 + 0.953792i
\(163\) 14.9299i 1.16940i 0.811249 + 0.584700i \(0.198788\pi\)
−0.811249 + 0.584700i \(0.801212\pi\)
\(164\) 0.771345 13.4193i 0.0602319 1.04787i
\(165\) 2.86752 1.03139i 0.223236 0.0802934i
\(166\) −0.528076 + 18.3894i −0.0409867 + 1.42729i
\(167\) −1.17066 2.02764i −0.0905885 0.156904i 0.817170 0.576396i \(-0.195541\pi\)
−0.907759 + 0.419492i \(0.862208\pi\)
\(168\) −4.72867 1.28050i −0.364825 0.0987926i
\(169\) 1.67487 2.90097i 0.128836 0.223151i
\(170\) 23.8549 + 14.7014i 1.82958 + 1.12754i
\(171\) −4.53665 5.49064i −0.346926 0.419880i
\(172\) −6.54048 + 3.29099i −0.498707 + 0.250935i
\(173\) 0.875908 + 0.505706i 0.0665940 + 0.0384481i 0.532927 0.846161i \(-0.321092\pi\)
−0.466333 + 0.884609i \(0.654425\pi\)
\(174\) −7.66143 23.3880i −0.580812 1.77304i
\(175\) −1.09627 + 0.632931i −0.0828702 + 0.0478451i
\(176\) −2.79295 0.322142i −0.210526 0.0242824i
\(177\) −8.12050 + 9.60341i −0.610374 + 0.721836i
\(178\) −1.15419 2.13864i −0.0865104 0.160298i
\(179\) 11.8651 0.886837 0.443419 0.896315i \(-0.353765\pi\)
0.443419 + 0.896315i \(0.353765\pi\)
\(180\) −8.88628 12.1081i −0.662344 0.902481i
\(181\) −11.7216 −0.871262 −0.435631 0.900125i \(-0.643475\pi\)
−0.435631 + 0.900125i \(0.643475\pi\)
\(182\) 2.08650 + 3.86614i 0.154662 + 0.286577i
\(183\) 8.17287 + 1.47309i 0.604156 + 0.108894i
\(184\) −1.77612 + 0.830687i −0.130937 + 0.0612390i
\(185\) −6.18057 + 3.56835i −0.454404 + 0.262350i
\(186\) −20.3407 4.27247i −1.49145 0.313273i
\(187\) 4.81819 + 2.78178i 0.352341 + 0.203424i
\(188\) 6.61250 + 13.1416i 0.482266 + 0.958452i
\(189\) −2.54669 4.52928i −0.185245 0.329457i
\(190\) 7.15484 + 4.40942i 0.519067 + 0.319893i
\(191\) −3.38132 + 5.85662i −0.244664 + 0.423770i −0.962037 0.272919i \(-0.912011\pi\)
0.717373 + 0.696689i \(0.245344\pi\)
\(192\) 2.38551 + 13.6495i 0.172159 + 0.985069i
\(193\) −1.38307 2.39554i −0.0995553 0.172435i 0.811945 0.583733i \(-0.198409\pi\)
−0.911501 + 0.411299i \(0.865075\pi\)
\(194\) 0.552962 19.2560i 0.0397003 1.38250i
\(195\) −2.38909 + 13.2550i −0.171086 + 0.949207i
\(196\) 1.99670 + 0.114771i 0.142622 + 0.00819791i
\(197\) 17.2636i 1.22998i 0.788536 + 0.614989i \(0.210839\pi\)
−0.788536 + 0.614989i \(0.789161\pi\)
\(198\) −1.83264 2.35240i −0.130240 0.167178i
\(199\) 14.4922i 1.02732i −0.857993 0.513662i \(-0.828289\pi\)
0.857993 0.513662i \(-0.171711\pi\)
\(200\) 2.93523 + 2.05029i 0.207552 + 0.144977i
\(201\) −11.3137 9.56667i −0.798004 0.674781i
\(202\) −3.65287 0.104897i −0.257015 0.00738052i
\(203\) 5.02368 + 8.70126i 0.352593 + 0.610709i
\(204\) 6.40444 26.6618i 0.448400 1.86670i
\(205\) −8.41159 + 14.5693i −0.587491 + 1.01756i
\(206\) 9.98796 16.2067i 0.695894 1.12918i
\(207\) −1.94884 0.726113i −0.135454 0.0504683i
\(208\) 7.40509 9.97842i 0.513450 0.691879i
\(209\) 1.44513 + 0.834347i 0.0999618 + 0.0577130i
\(210\) 4.56644 + 4.09180i 0.315114 + 0.282361i
\(211\) 22.1795 12.8053i 1.52690 0.881555i 0.527407 0.849612i \(-0.323164\pi\)
0.999490 0.0319420i \(-0.0101692\pi\)
\(212\) 1.48720 + 0.976529i 0.102142 + 0.0670683i
\(213\) 3.71963 + 10.3415i 0.254865 + 0.708589i
\(214\) 21.2033 11.4431i 1.44942 0.782235i
\(215\) 9.16384 0.624968
\(216\) −8.55266 + 11.9521i −0.581935 + 0.813235i
\(217\) 8.48527 0.576018
\(218\) 3.02994 1.63522i 0.205213 0.110751i
\(219\) −4.80828 13.3682i −0.324914 0.903342i
\(220\) 2.94138 + 1.93137i 0.198307 + 0.130213i
\(221\) −21.2951 + 12.2948i −1.43247 + 0.827035i
\(222\) 5.20109 + 4.66049i 0.349074 + 0.312791i
\(223\) 13.2137 + 7.62891i 0.884853 + 0.510870i 0.872255 0.489051i \(-0.162657\pi\)
0.0125973 + 0.999921i \(0.495990\pi\)
\(224\) −2.09854 5.25320i −0.140215 0.350994i
\(225\) 0.631048 + 3.74479i 0.0420699 + 0.249653i
\(226\) 3.54515 5.75247i 0.235820 0.382648i
\(227\) −3.88279 + 6.72519i −0.257710 + 0.446367i −0.965628 0.259928i \(-0.916301\pi\)
0.707918 + 0.706295i \(0.249635\pi\)
\(228\) 1.92090 7.99674i 0.127215 0.529597i
\(229\) −5.70048 9.87351i −0.376698 0.652460i 0.613882 0.789398i \(-0.289607\pi\)
−0.990580 + 0.136938i \(0.956274\pi\)
\(230\) 2.45307 + 0.0704431i 0.161750 + 0.00464488i
\(231\) 0.929607 + 0.786062i 0.0611637 + 0.0517191i
\(232\) 16.2734 23.2974i 1.06840 1.52955i
\(233\) 19.4113i 1.27167i −0.771824 0.635837i \(-0.780655\pi\)
0.771824 0.635837i \(-0.219345\pi\)
\(234\) 13.0540 1.81612i 0.853365 0.118724i
\(235\) 18.4127i 1.20111i
\(236\) −14.4981 0.833354i −0.943749 0.0542467i
\(237\) −0.806272 + 4.47329i −0.0523730 + 0.290571i
\(238\) −0.321326 + 11.1896i −0.0208284 + 0.725317i
\(239\) 3.57434 + 6.19093i 0.231205 + 0.400458i 0.958163 0.286224i \(-0.0924000\pi\)
−0.726958 + 0.686682i \(0.759067\pi\)
\(240\) 5.01162 16.6026i 0.323499 1.07169i
\(241\) −1.19735 + 2.07386i −0.0771279 + 0.133589i −0.902010 0.431716i \(-0.857908\pi\)
0.824882 + 0.565305i \(0.191242\pi\)
\(242\) −12.6486 7.79513i −0.813083 0.501090i
\(243\) −15.4002 + 2.41522i −0.987924 + 0.154937i
\(244\) 4.31018 + 8.56602i 0.275931 + 0.548383i
\(245\) −2.16781 1.25159i −0.138496 0.0799609i
\(246\) 16.1108 + 3.38400i 1.02719 + 0.215756i
\(247\) −6.38710 + 3.68759i −0.406401 + 0.234636i
\(248\) −10.1676 21.7398i −0.645646 1.38048i
\(249\) −22.1743 3.99673i −1.40524 0.253283i
\(250\) 6.27813 + 11.6329i 0.397064 + 0.735730i
\(251\) 3.05973 0.193129 0.0965644 0.995327i \(-0.469215\pi\)
0.0965644 + 0.995327i \(0.469215\pi\)
\(252\) 2.41404 5.49294i 0.152070 0.346023i
\(253\) 0.487254 0.0306334
\(254\) −3.30049 6.11557i −0.207091 0.383725i
\(255\) −22.1593 + 26.2058i −1.38767 + 1.64107i
\(256\) −10.9444 + 11.6713i −0.684025 + 0.729459i
\(257\) 17.1928 9.92624i 1.07245 0.619182i 0.143603 0.989635i \(-0.454131\pi\)
0.928851 + 0.370453i \(0.120798\pi\)
\(258\) −2.79155 8.52174i −0.173794 0.530540i
\(259\) −2.46909 1.42553i −0.153422 0.0885783i
\(260\) −13.8926 + 6.99035i −0.861581 + 0.433523i
\(261\) 29.7230 5.00873i 1.83981 0.310032i
\(262\) −6.30788 3.88745i −0.389702 0.240167i
\(263\) −9.51239 + 16.4759i −0.586559 + 1.01595i 0.408120 + 0.912928i \(0.366184\pi\)
−0.994679 + 0.103022i \(0.967149\pi\)
\(264\) 0.900019 3.32362i 0.0553923 0.204555i
\(265\) −1.11338 1.92843i −0.0683944 0.118463i
\(266\) −0.0963760 + 3.35614i −0.00590919 + 0.205778i
\(267\) 2.80073 1.00737i 0.171402 0.0616498i
\(268\) 0.981765 17.0801i 0.0599708 1.04333i
\(269\) 27.0790i 1.65103i 0.564378 + 0.825517i \(0.309116\pi\)
−0.564378 + 0.825517i \(0.690884\pi\)
\(270\) 16.2859 8.55138i 0.991128 0.520420i
\(271\) 29.1249i 1.76921i −0.466337 0.884607i \(-0.654427\pi\)
0.466337 0.884607i \(-0.345573\pi\)
\(272\) 29.0536 12.5850i 1.76163 0.763075i
\(273\) −5.06305 + 1.82107i −0.306430 + 0.110216i
\(274\) −14.7506 0.423583i −0.891117 0.0255896i
\(275\) −0.444866 0.770531i −0.0268264 0.0464648i
\(276\) −0.681762 2.30264i −0.0410373 0.138603i
\(277\) 8.22279 14.2423i 0.494060 0.855737i −0.505917 0.862582i \(-0.668846\pi\)
0.999977 + 0.00684565i \(0.00217905\pi\)
\(278\) 8.81158 14.2979i 0.528484 0.857532i
\(279\) 8.88766 23.8539i 0.532090 1.42810i
\(280\) −0.609017 + 7.05379i −0.0363957 + 0.421545i
\(281\) 5.47490 + 3.16093i 0.326605 + 0.188566i 0.654333 0.756207i \(-0.272950\pi\)
−0.327728 + 0.944772i \(0.606283\pi\)
\(282\) −17.1225 + 5.60899i −1.01963 + 0.334011i
\(283\) −7.14839 + 4.12712i −0.424927 + 0.245332i −0.697183 0.716893i \(-0.745564\pi\)
0.272256 + 0.962225i \(0.412230\pi\)
\(284\) −6.96536 + 10.6079i −0.413318 + 0.629462i
\(285\) −6.64628 + 7.85997i −0.393691 + 0.465584i
\(286\) −2.71738 + 1.46653i −0.160682 + 0.0867178i
\(287\) −6.72075 −0.396713
\(288\) −16.9659 + 0.397124i −0.999726 + 0.0234007i
\(289\) −45.6557 −2.68563
\(290\) −31.3004 + 16.8924i −1.83802 + 0.991956i
\(291\) 23.2193 + 4.18508i 1.36114 + 0.245333i
\(292\) 9.00396 13.7126i 0.526917 0.802467i
\(293\) 6.70404 3.87058i 0.391654 0.226122i −0.291222 0.956655i \(-0.594062\pi\)
0.682877 + 0.730534i \(0.260729\pi\)
\(294\) −0.503516 + 2.39718i −0.0293656 + 0.139806i
\(295\) 15.7405 + 9.08781i 0.916450 + 0.529113i
\(296\) −0.693659 + 8.03414i −0.0403181 + 0.466975i
\(297\) 3.18348 1.78998i 0.184724 0.103865i
\(298\) −13.1341 + 21.3117i −0.760836 + 1.23455i
\(299\) −1.07677 + 1.86502i −0.0622711 + 0.107857i
\(300\) −3.01888 + 3.18045i −0.174295 + 0.183623i
\(301\) 1.83045 + 3.17043i 0.105505 + 0.182740i
\(302\) −29.6749 0.852155i −1.70760 0.0490360i
\(303\) 0.793909 4.40470i 0.0456089 0.253043i
\(304\) 8.71411 3.77464i 0.499788 0.216490i
\(305\) 12.0018i 0.687222i
\(306\) 31.1199 + 12.6236i 1.77901 + 0.721643i
\(307\) 14.7032i 0.839154i −0.907720 0.419577i \(-0.862178\pi\)
0.907720 0.419577i \(-0.137822\pi\)
\(308\) −0.0806685 + 1.40342i −0.00459651 + 0.0799671i
\(309\) 17.8040 + 15.0548i 1.01283 + 0.856436i
\(310\) −0.862226 + 30.0256i −0.0489712 + 1.70534i
\(311\) 6.26710 + 10.8549i 0.355375 + 0.615527i 0.987182 0.159599i \(-0.0510200\pi\)
−0.631807 + 0.775125i \(0.717687\pi\)
\(312\) 10.7326 + 10.7897i 0.607614 + 0.610846i
\(313\) −11.6110 + 20.1108i −0.656292 + 1.13673i 0.325276 + 0.945619i \(0.394543\pi\)
−0.981568 + 0.191112i \(0.938790\pi\)
\(314\) 2.02742 + 1.24946i 0.114414 + 0.0705113i
\(315\) −5.78908 + 4.78323i −0.326178 + 0.269505i
\(316\) −4.68847 + 2.35911i −0.263747 + 0.132710i
\(317\) 5.93134 + 3.42446i 0.333137 + 0.192337i 0.657233 0.753687i \(-0.271727\pi\)
−0.324096 + 0.946024i \(0.605060\pi\)
\(318\) −1.45414 + 1.62282i −0.0815443 + 0.0910032i
\(319\) −6.11582 + 3.53097i −0.342420 + 0.197697i
\(320\) 18.8020 6.89201i 1.05106 0.385275i
\(321\) 9.98741 + 27.7675i 0.557443 + 1.54983i
\(322\) 0.465620 + 0.862761i 0.0259480 + 0.0480798i
\(323\) −18.7925 −1.04564
\(324\) −12.9133 12.5398i −0.717406 0.696655i
\(325\) 3.93239 0.218129
\(326\) −10.0278 18.5808i −0.555389 1.02910i
\(327\) 1.42720 + 3.96797i 0.0789242 + 0.219429i
\(328\) 8.05326 + 17.2190i 0.444667 + 0.950758i
\(329\) 6.37026 3.67787i 0.351204 0.202768i
\(330\) −2.87599 + 3.20959i −0.158318 + 0.176682i
\(331\) 6.98234 + 4.03126i 0.383784 + 0.221578i 0.679463 0.733709i \(-0.262213\pi\)
−0.295679 + 0.955287i \(0.595546\pi\)
\(332\) −11.6942 23.2410i −0.641803 1.27552i
\(333\) −6.59366 + 5.44801i −0.361330 + 0.298549i
\(334\) 2.81882 + 1.73719i 0.154239 + 0.0950550i
\(335\) −10.7062 + 18.5438i −0.584944 + 1.01315i
\(336\) 6.74507 1.58243i 0.367974 0.0863286i
\(337\) −8.08375 14.0015i −0.440350 0.762708i 0.557365 0.830267i \(-0.311812\pi\)
−0.997715 + 0.0675590i \(0.978479\pi\)
\(338\) −0.135981 + 4.73530i −0.00739637 + 0.257567i
\(339\) 6.31939 + 5.34358i 0.343222 + 0.290223i
\(340\) −39.5626 2.27406i −2.14558 0.123328i
\(341\) 5.96401i 0.322969i
\(342\) 9.33387 + 3.78622i 0.504718 + 0.204736i
\(343\) 1.00000i 0.0539949i
\(344\) 5.92945 8.48873i 0.319695 0.457682i
\(345\) −0.533146 + 2.95795i −0.0287036 + 0.159251i
\(346\) −1.42976 0.0410575i −0.0768645 0.00220727i
\(347\) 3.82900 + 6.63203i 0.205552 + 0.356026i 0.950308 0.311310i \(-0.100768\pi\)
−0.744757 + 0.667336i \(0.767434\pi\)
\(348\) 25.2437 + 23.9614i 1.35321 + 1.28446i
\(349\) 4.40927 7.63708i 0.236023 0.408803i −0.723547 0.690275i \(-0.757489\pi\)
0.959569 + 0.281472i \(0.0908227\pi\)
\(350\) 0.939234 1.52403i 0.0502042 0.0814627i
\(351\) −0.183718 + 16.1407i −0.00980613 + 0.861528i
\(352\) 3.69230 1.47499i 0.196800 0.0786174i
\(353\) −2.81435 1.62487i −0.149793 0.0864830i 0.423230 0.906022i \(-0.360896\pi\)
−0.573023 + 0.819539i \(0.694229\pi\)
\(354\) 3.65605 17.4060i 0.194317 0.925119i
\(355\) 13.7551 7.94149i 0.730043 0.421490i
\(356\) 2.87287 + 1.88639i 0.152262 + 0.0999783i
\(357\) −13.4927 2.43194i −0.714109 0.128712i
\(358\) −14.7665 + 7.96929i −0.780435 + 0.421190i
\(359\) 28.4033 1.49907 0.749533 0.661967i \(-0.230278\pi\)
0.749533 + 0.661967i \(0.230278\pi\)
\(360\) 19.1918 + 9.10037i 1.01150 + 0.479632i
\(361\) 13.3635 0.703343
\(362\) 14.5880 7.87295i 0.766729 0.413793i
\(363\) 11.7495 13.8951i 0.616691 0.729306i
\(364\) −5.19346 3.41013i −0.272211 0.178740i
\(365\) −17.7809 + 10.2658i −0.930692 + 0.537336i
\(366\) −11.1609 + 3.65607i −0.583387 + 0.191106i
\(367\) −4.00164 2.31035i −0.208884 0.120599i 0.391909 0.920004i \(-0.371815\pi\)
−0.600793 + 0.799405i \(0.705148\pi\)
\(368\) 1.65251 2.22677i 0.0861429 0.116078i
\(369\) −7.03945 + 18.8934i −0.366459 + 0.983553i
\(370\) 5.29523 8.59218i 0.275286 0.446686i
\(371\) 0.444788 0.770396i 0.0230923 0.0399970i
\(372\) 28.1844 8.34480i 1.46130 0.432658i
\(373\) −13.7859 23.8779i −0.713808 1.23635i −0.963417 0.268005i \(-0.913636\pi\)
0.249609 0.968347i \(-0.419698\pi\)
\(374\) −7.86483 0.225849i −0.406681 0.0116784i
\(375\) −15.2343 + 5.47948i −0.786697 + 0.282959i
\(376\) −17.0562 11.9139i −0.879607 0.614413i
\(377\) 31.2120i 1.60750i
\(378\) 6.21159 + 3.92635i 0.319490 + 0.201949i
\(379\) 20.5766i 1.05695i −0.848949 0.528475i \(-0.822764\pi\)
0.848949 0.528475i \(-0.177236\pi\)
\(380\) −11.8661 0.682064i −0.608718 0.0349892i
\(381\) 8.00888 2.88063i 0.410307 0.147579i
\(382\) 0.274525 9.55988i 0.0140459 0.489126i
\(383\) 0.0457558 + 0.0792514i 0.00233801 + 0.00404955i 0.867192 0.497974i \(-0.165922\pi\)
−0.864854 + 0.502023i \(0.832589\pi\)
\(384\) −12.1367 15.3851i −0.619348 0.785117i
\(385\) 0.879697 1.52368i 0.0448335 0.0776539i
\(386\) 3.33027 + 2.05239i 0.169506 + 0.104464i
\(387\) 10.8300 1.82500i 0.550519 0.0927699i
\(388\) 12.2453 + 24.3362i 0.621661 + 1.23548i
\(389\) −1.65481 0.955404i −0.0839021 0.0484409i 0.457462 0.889229i \(-0.348759\pi\)
−0.541364 + 0.840788i \(0.682092\pi\)
\(390\) −5.92950 18.1009i −0.300252 0.916577i
\(391\) −4.75219 + 2.74368i −0.240329 + 0.138754i
\(392\) −2.56206 + 1.19827i −0.129404 + 0.0605217i
\(393\) 5.85951 6.92954i 0.295573 0.349549i
\(394\) −11.5952 21.4851i −0.584160 1.08241i
\(395\) 6.56900 0.330522
\(396\) 3.86081 + 1.69674i 0.194013 + 0.0852646i
\(397\) 30.4353 1.52750 0.763751 0.645511i \(-0.223355\pi\)
0.763751 + 0.645511i \(0.223355\pi\)
\(398\) 9.73382 + 18.0361i 0.487912 + 0.904066i
\(399\) −4.04690 0.729419i −0.202598 0.0365166i
\(400\) −5.03010 0.580178i −0.251505 0.0290089i
\(401\) 18.9221 10.9247i 0.944922 0.545551i 0.0534223 0.998572i \(-0.482987\pi\)
0.891500 + 0.453021i \(0.149654\pi\)
\(402\) 20.5058 + 4.30715i 1.02274 + 0.214821i
\(403\) −22.8279 13.1797i −1.13714 0.656527i
\(404\) 4.61658 2.32294i 0.229684 0.115570i
\(405\) 7.38307 + 21.2844i 0.366868 + 1.05763i
\(406\) −12.0964 7.45484i −0.600336 0.369978i
\(407\) 1.00196 1.73544i 0.0496653 0.0860228i
\(408\) 9.93710 + 37.4832i 0.491960 + 1.85570i
\(409\) 2.23786 + 3.87609i 0.110655 + 0.191660i 0.916035 0.401099i \(-0.131372\pi\)
−0.805379 + 0.592760i \(0.798038\pi\)
\(410\) 0.682925 23.7818i 0.0337273 1.17450i
\(411\) 3.20588 17.7866i 0.158134 0.877347i
\(412\) −1.54497 + 26.8784i −0.0761154 + 1.32420i
\(413\) 7.26104i 0.357292i
\(414\) 2.91311 0.405283i 0.143171 0.0199186i
\(415\) 32.5628i 1.59845i
\(416\) −2.51381 + 17.3922i −0.123249 + 0.852723i
\(417\) 15.7070 + 13.2816i 0.769176 + 0.650404i
\(418\) −2.35892 0.0677394i −0.115378 0.00331324i
\(419\) 11.4022 + 19.7492i 0.557033 + 0.964809i 0.997742 + 0.0671595i \(0.0213936\pi\)
−0.440709 + 0.897650i \(0.645273\pi\)
\(420\) −8.43140 2.02531i −0.411410 0.0988249i
\(421\) −14.0510 + 24.3370i −0.684803 + 1.18611i 0.288696 + 0.957421i \(0.406778\pi\)
−0.973499 + 0.228693i \(0.926555\pi\)
\(422\) −19.0024 + 30.8337i −0.925020 + 1.50096i
\(423\) −3.66693 21.7604i −0.178292 1.05803i
\(424\) −2.50678 0.216432i −0.121740 0.0105109i
\(425\) 8.67756 + 5.00999i 0.420924 + 0.243020i
\(426\) −11.5752 10.3721i −0.560820 0.502528i
\(427\) 4.15228 2.39732i 0.200943 0.116015i
\(428\) −18.7024 + 28.4827i −0.904013 + 1.37677i
\(429\) −1.27997 3.55865i −0.0617976 0.171813i
\(430\) −11.4047 + 6.15498i −0.549985 + 0.296819i
\(431\) 0.610755 0.0294190 0.0147095 0.999892i \(-0.495318\pi\)
0.0147095 + 0.999892i \(0.495318\pi\)
\(432\) 2.61638 20.6193i 0.125881 0.992045i
\(433\) 10.5169 0.505410 0.252705 0.967543i \(-0.418680\pi\)
0.252705 + 0.967543i \(0.418680\pi\)
\(434\) −10.5602 + 5.69922i −0.506908 + 0.273571i
\(435\) −14.7435 40.9906i −0.706897 1.96535i
\(436\) −2.67256 + 4.07017i −0.127993 + 0.194926i
\(437\) −1.42534 + 0.822918i −0.0681830 + 0.0393655i
\(438\) 14.9630 + 13.4077i 0.714960 + 0.640647i
\(439\) −32.6334 18.8409i −1.55751 0.899227i −0.997495 0.0707423i \(-0.977463\pi\)
−0.560012 0.828485i \(-0.689203\pi\)
\(440\) −4.95787 0.428057i −0.236357 0.0204068i
\(441\) −2.81121 1.04742i −0.133867 0.0498772i
\(442\) 18.2447 29.6044i 0.867812 1.40814i
\(443\) −20.7455 + 35.9322i −0.985647 + 1.70719i −0.346622 + 0.938005i \(0.612671\pi\)
−0.639025 + 0.769186i \(0.720662\pi\)
\(444\) −9.60321 2.30679i −0.455748 0.109475i
\(445\) −2.15075 3.72520i −0.101955 0.176592i
\(446\) −21.5689 0.619381i −1.02132 0.0293285i
\(447\) −23.4120 19.7969i −1.10735 0.936359i
\(448\) 6.14008 + 5.12830i 0.290091 + 0.242289i
\(449\) 31.9656i 1.50855i −0.656559 0.754275i \(-0.727989\pi\)
0.656559 0.754275i \(-0.272011\pi\)
\(450\) −3.30059 4.23668i −0.155591 0.199719i
\(451\) 4.72379i 0.222434i
\(452\) −0.548377 + 9.54030i −0.0257935 + 0.448738i
\(453\) 6.44951 35.7826i 0.303025 1.68121i
\(454\) 0.315238 10.9777i 0.0147949 0.515208i
\(455\) 3.88803 + 6.73427i 0.182274 + 0.315707i
\(456\) 2.98046 + 11.2424i 0.139573 + 0.526475i
\(457\) −14.8515 + 25.7236i −0.694724 + 1.20330i 0.275549 + 0.961287i \(0.411140\pi\)
−0.970274 + 0.242011i \(0.922193\pi\)
\(458\) 13.7261 + 8.45918i 0.641378 + 0.395271i
\(459\) −20.9692 + 35.3835i −0.978761 + 1.65156i
\(460\) −3.10025 + 1.55996i −0.144550 + 0.0727333i
\(461\) −8.96753 5.17741i −0.417659 0.241136i 0.276416 0.961038i \(-0.410853\pi\)
−0.694075 + 0.719902i \(0.744187\pi\)
\(462\) −1.68490 0.353904i −0.0783885 0.0164651i
\(463\) −13.7219 + 7.92236i −0.637712 + 0.368183i −0.783733 0.621098i \(-0.786687\pi\)
0.146021 + 0.989282i \(0.453353\pi\)
\(464\) −4.60497 + 39.9247i −0.213780 + 1.85346i
\(465\) −36.2055 6.52573i −1.67899 0.302624i
\(466\) 13.0378 + 24.1580i 0.603963 + 1.11910i
\(467\) 27.9844 1.29496 0.647481 0.762081i \(-0.275822\pi\)
0.647481 + 0.762081i \(0.275822\pi\)
\(468\) −15.0263 + 11.0281i −0.694593 + 0.509772i
\(469\) −8.55414 −0.394994
\(470\) 12.3671 + 22.9153i 0.570450 + 1.05700i
\(471\) −1.88331 + 2.22722i −0.0867782 + 0.102625i
\(472\) 18.6032 8.70068i 0.856282 0.400481i
\(473\) −2.22839 + 1.28656i −0.102461 + 0.0591560i
\(474\) −2.00109 6.10871i −0.0919132 0.280583i
\(475\) 2.60268 + 1.50266i 0.119419 + 0.0689467i
\(476\) −7.11573 14.1418i −0.326149 0.648186i
\(477\) −1.69986 2.05732i −0.0778314 0.0941983i
\(478\) −8.60659 5.30411i −0.393656 0.242604i
\(479\) −11.5844 + 20.0648i −0.529306 + 0.916785i 0.470110 + 0.882608i \(0.344214\pi\)
−0.999416 + 0.0341768i \(0.989119\pi\)
\(480\) 4.91413 + 24.0286i 0.224298 + 1.09675i
\(481\) 4.42840 + 7.67021i 0.201918 + 0.349731i
\(482\) 0.0972109 3.38521i 0.00442783 0.154192i
\(483\) −1.12986 + 0.406388i −0.0514105 + 0.0184913i
\(484\) 20.9773 + 1.20578i 0.953515 + 0.0548081i
\(485\) 34.0973i 1.54828i
\(486\) 17.5439 13.3495i 0.795809 0.605547i
\(487\) 13.8456i 0.627406i −0.949521 0.313703i \(-0.898430\pi\)
0.949521 0.313703i \(-0.101570\pi\)
\(488\) −11.1176 7.76576i −0.503272 0.351539i
\(489\) 24.3332 8.75216i 1.10039 0.395787i
\(490\) 3.53856 + 0.101614i 0.159856 + 0.00459047i
\(491\) −1.97999 3.42944i −0.0893557 0.154769i 0.817883 0.575384i \(-0.195147\pi\)
−0.907239 + 0.420616i \(0.861814\pi\)
\(492\) −22.3234 + 6.60948i −1.00642 + 0.297979i
\(493\) 39.7651 68.8752i 1.79093 3.10198i
\(494\) 5.47218 8.87931i 0.246205 0.399499i
\(495\) −3.36197 4.06895i −0.151109 0.182886i
\(496\) 27.2557 + 20.2268i 1.22382 + 0.908209i
\(497\) 5.49505 + 3.17257i 0.246487 + 0.142309i
\(498\) 30.2812 9.91951i 1.35693 0.444504i
\(499\) 18.6834 10.7868i 0.836382 0.482886i −0.0196506 0.999807i \(-0.506255\pi\)
0.856033 + 0.516921i \(0.172922\pi\)
\(500\) −15.6267 10.2608i −0.698848 0.458879i
\(501\) −2.61846 + 3.09662i −0.116984 + 0.138347i
\(502\) −3.80795 + 2.05510i −0.169957 + 0.0917236i
\(503\) −24.7621 −1.10409 −0.552044 0.833815i \(-0.686152\pi\)
−0.552044 + 0.833815i \(0.686152\pi\)
\(504\) 0.685032 + 8.45758i 0.0305138 + 0.376731i
\(505\) −6.46827 −0.287834
\(506\) −0.606406 + 0.327269i −0.0269580 + 0.0145489i
\(507\) −5.70992 1.02916i −0.253587 0.0457068i
\(508\) 8.21516 + 5.39425i 0.364489 + 0.239331i
\(509\) −22.5133 + 12.9980i −0.997882 + 0.576128i −0.907621 0.419790i \(-0.862104\pi\)
−0.0902614 + 0.995918i \(0.528770\pi\)
\(510\) 9.97663 47.4976i 0.441773 2.10323i
\(511\) −7.10333 4.10111i −0.314233 0.181422i
\(512\) 5.78155 21.8763i 0.255511 0.966806i
\(513\) −6.28936 + 10.6127i −0.277682 + 0.468561i
\(514\) −14.7300 + 23.9013i −0.649711 + 1.05424i
\(515\) 16.8481 29.1817i 0.742415 1.28590i
\(516\) 9.19790 + 8.73065i 0.404915 + 0.384345i
\(517\) 2.58505 + 4.47744i 0.113690 + 0.196918i
\(518\) 4.03035 + 0.115737i 0.177084 + 0.00508519i
\(519\) 0.310743 1.72404i 0.0136401 0.0756767i
\(520\) 12.5947 18.0308i 0.552314 0.790705i
\(521\) 16.4772i 0.721880i 0.932589 + 0.360940i \(0.117544\pi\)
−0.932589 + 0.360940i \(0.882456\pi\)
\(522\) −33.6272 + 26.1973i −1.47182 + 1.14662i
\(523\) 35.6352i 1.55822i 0.626888 + 0.779110i \(0.284329\pi\)
−0.626888 + 0.779110i \(0.715671\pi\)
\(524\) 10.4614 + 0.601324i 0.457010 + 0.0262690i
\(525\) 1.67422 + 1.41570i 0.0730691 + 0.0617862i
\(526\) 0.772297 26.8940i 0.0336738 1.17263i
\(527\) −33.5827 58.1670i −1.46289 2.53380i
\(528\) 1.11224 + 4.74088i 0.0484039 + 0.206320i
\(529\) 11.2597 19.5024i 0.489553 0.847930i
\(530\) 2.68089 + 1.65219i 0.116451 + 0.0717667i
\(531\) 20.4123 + 7.60537i 0.885819 + 0.330045i
\(532\) −2.13424 4.24157i −0.0925310 0.183895i
\(533\) 18.0808 + 10.4390i 0.783166 + 0.452161i
\(534\) −2.80901 + 3.13484i −0.121558 + 0.135658i
\(535\) 36.9331 21.3233i 1.59676 0.921888i
\(536\) 10.2502 + 21.9162i 0.442740 + 0.946637i
\(537\) −6.95551 19.3381i −0.300152 0.834499i
\(538\) −18.1878 33.7008i −0.784134 1.45294i
\(539\) 0.702866 0.0302746
\(540\) −14.5248 + 21.5811i −0.625048 + 0.928702i
\(541\) 16.0235 0.688903 0.344452 0.938804i \(-0.388065\pi\)
0.344452 + 0.938804i \(0.388065\pi\)
\(542\) 19.5621 + 36.2471i 0.840262 + 1.55695i
\(543\) 6.87142 + 19.1043i 0.294881 + 0.819843i
\(544\) −27.7055 + 35.1766i −1.18786 + 1.50818i
\(545\) 5.27773 3.04710i 0.226073 0.130523i
\(546\) 5.07801 5.66704i 0.217319 0.242527i
\(547\) 9.75181 + 5.63021i 0.416957 + 0.240730i 0.693775 0.720192i \(-0.255946\pi\)
−0.276817 + 0.960923i \(0.589280\pi\)
\(548\) 18.6422 9.38023i 0.796355 0.400703i
\(549\) −2.39019 14.1840i −0.102011 0.605356i
\(550\) 1.07119 + 0.660156i 0.0456756 + 0.0281491i
\(551\) 11.9268 20.6579i 0.508100 0.880056i
\(552\) 2.39507 + 2.40781i 0.101941 + 0.102483i
\(553\) 1.31214 + 2.27268i 0.0557977 + 0.0966444i
\(554\) −0.667597 + 23.2480i −0.0283635 + 0.987712i
\(555\) 9.43896 + 7.98145i 0.400662 + 0.338794i
\(556\) −1.36301 + 23.7127i −0.0578044 + 1.00564i
\(557\) 25.2666i 1.07058i 0.844669 + 0.535289i \(0.179797\pi\)
−0.844669 + 0.535289i \(0.820203\pi\)
\(558\) 4.96068 + 35.6565i 0.210002 + 1.50946i
\(559\) 11.3725i 0.481006i
\(560\) −3.97980 9.18776i −0.168177 0.388254i
\(561\) 1.70933 9.48356i 0.0721680 0.400396i
\(562\) −8.93679 0.256632i −0.376976 0.0108254i
\(563\) −6.29010 10.8948i −0.265096 0.459160i 0.702493 0.711691i \(-0.252070\pi\)
−0.967589 + 0.252531i \(0.918737\pi\)
\(564\) 17.5423 18.4811i 0.738663 0.778195i
\(565\) 5.98010 10.3578i 0.251585 0.435758i
\(566\) 6.12441 9.93764i 0.257428 0.417710i
\(567\) −5.88905 + 6.80582i −0.247317 + 0.285817i
\(568\) 1.54376 17.8803i 0.0647748 0.750239i
\(569\) −9.64118 5.56634i −0.404179 0.233353i 0.284107 0.958793i \(-0.408303\pi\)
−0.688286 + 0.725440i \(0.741636\pi\)
\(570\) 2.99231 14.2461i 0.125334 0.596702i
\(571\) −38.6886 + 22.3369i −1.61907 + 0.934769i −0.631906 + 0.775045i \(0.717727\pi\)
−0.987162 + 0.159724i \(0.948939\pi\)
\(572\) 2.39687 3.65031i 0.100218 0.152627i
\(573\) 11.5275 + 2.07773i 0.481568 + 0.0867985i
\(574\) 8.36422 4.51405i 0.349116 0.188413i
\(575\) 0.877545 0.0365962
\(576\) 20.8480 11.8896i 0.868666 0.495398i
\(577\) 0.773772 0.0322125 0.0161063 0.999870i \(-0.494873\pi\)
0.0161063 + 0.999870i \(0.494873\pi\)
\(578\) 56.8203 30.6651i 2.36341 1.27550i
\(579\) −3.09355 + 3.65847i −0.128564 + 0.152041i
\(580\) 27.6086 42.0464i 1.14638 1.74588i
\(581\) −11.2658 + 6.50432i −0.467385 + 0.269845i
\(582\) −31.7082 + 10.3870i −1.31435 + 0.430553i
\(583\) 0.541485 + 0.312627i 0.0224260 + 0.0129477i
\(584\) −1.99559 + 23.1134i −0.0825779 + 0.956439i
\(585\) 23.0039 3.87646i 0.951093 0.160272i
\(586\) −5.74372 + 9.31992i −0.237271 + 0.385002i
\(587\) 3.95356 6.84776i 0.163181 0.282637i −0.772827 0.634617i \(-0.781158\pi\)
0.936008 + 0.351979i \(0.114491\pi\)
\(588\) −0.983445 3.32157i −0.0405566 0.136979i
\(589\) −10.0726 17.4462i −0.415032 0.718857i
\(590\) −25.6936 0.737826i −1.05779 0.0303758i
\(591\) 28.1367 10.1202i 1.15739 0.416289i
\(592\) −4.53292 10.4647i −0.186302 0.430096i
\(593\) 13.0459i 0.535732i 0.963456 + 0.267866i \(0.0863184\pi\)
−0.963456 + 0.267866i \(0.913682\pi\)
\(594\) −2.75970 + 4.36592i −0.113232 + 0.179136i
\(595\) 19.8139i 0.812292i
\(596\) 2.03162 35.3448i 0.0832185 1.44778i
\(597\) −23.6198 + 8.49557i −0.966695 + 0.347700i
\(598\) 0.0874213 3.04430i 0.00357492 0.124491i
\(599\) 5.35898 + 9.28202i 0.218962 + 0.379253i 0.954491 0.298240i \(-0.0963996\pi\)
−0.735529 + 0.677493i \(0.763066\pi\)
\(600\) 1.62093 5.98585i 0.0661744 0.244371i
\(601\) −2.22698 + 3.85725i −0.0908406 + 0.157341i −0.907865 0.419262i \(-0.862289\pi\)
0.817024 + 0.576603i \(0.195622\pi\)
\(602\) −4.40750 2.71628i −0.179636 0.110707i
\(603\) −8.95979 + 24.0475i −0.364871 + 0.979290i
\(604\) 37.5039 18.8709i 1.52601 0.767847i
\(605\) −22.7750 13.1491i −0.925934 0.534588i
\(606\) 1.97041 + 6.01505i 0.0800424 + 0.244345i
\(607\) 29.7000 17.1473i 1.20549 0.695988i 0.243717 0.969846i \(-0.421633\pi\)
0.961770 + 0.273858i \(0.0882999\pi\)
\(608\) −8.30976 + 10.5506i −0.337005 + 0.427883i
\(609\) 11.2366 13.2886i 0.455331 0.538480i
\(610\) 8.06113 + 14.9367i 0.326386 + 0.604769i
\(611\) −22.8505 −0.924433
\(612\) −47.2086 + 5.19145i −1.90830 + 0.209852i
\(613\) −27.5606 −1.11316 −0.556581 0.830794i \(-0.687887\pi\)
−0.556581 + 0.830794i \(0.687887\pi\)
\(614\) 9.87553 + 18.2986i 0.398544 + 0.738473i
\(615\) 28.6765 + 5.16870i 1.15635 + 0.208422i
\(616\) −0.842223 1.80079i −0.0339341 0.0725557i
\(617\) 21.8157 12.5953i 0.878268 0.507068i 0.00818075 0.999967i \(-0.497396\pi\)
0.870087 + 0.492899i \(0.164063\pi\)
\(618\) −32.2694 6.77802i −1.29806 0.272652i
\(619\) 2.44808 + 1.41340i 0.0983968 + 0.0568094i 0.548391 0.836222i \(-0.315241\pi\)
−0.449994 + 0.893032i \(0.648574\pi\)
\(620\) −19.0939 37.9472i −0.766831 1.52399i
\(621\) −0.0409982 + 3.60194i −0.00164520 + 0.144541i
\(622\) −15.0905 9.30001i −0.605072 0.372897i
\(623\) 0.859209 1.48819i 0.0344235 0.0596232i
\(624\) −20.6041 6.21952i −0.824825 0.248980i
\(625\) 14.8635 + 25.7443i 0.594538 + 1.02977i
\(626\) 0.942680 32.8273i 0.0376771 1.31204i
\(627\) 0.512684 2.84443i 0.0204746 0.113595i
\(628\) −3.36241 0.193271i −0.134175 0.00771237i
\(629\) 22.5677i 0.899834i
\(630\) 3.99202 9.84120i 0.159046 0.392083i
\(631\) 35.3279i 1.40638i 0.711002 + 0.703190i \(0.248242\pi\)
−0.711002 + 0.703190i \(0.751758\pi\)
\(632\) 4.25046 6.08506i 0.169074 0.242051i
\(633\) −33.8725 28.6421i −1.34631 1.13842i
\(634\) −9.68185 0.278027i −0.384515 0.0110419i
\(635\) −6.15020 10.6525i −0.244063 0.422730i
\(636\) 0.719754 2.99635i 0.0285401 0.118813i
\(637\) −1.55324 + 2.69030i −0.0615417 + 0.106593i
\(638\) 5.23976 8.50218i 0.207444 0.336605i
\(639\) 14.6744 12.1247i 0.580510 0.479647i
\(640\) −18.7707 + 21.2059i −0.741978 + 0.838237i
\(641\) 17.8094 + 10.2823i 0.703431 + 0.406126i 0.808624 0.588326i \(-0.200213\pi\)
−0.105193 + 0.994452i \(0.533546\pi\)
\(642\) −31.0800 27.8496i −1.22663 1.09914i
\(643\) −16.6218 + 9.59659i −0.655499 + 0.378453i −0.790560 0.612385i \(-0.790210\pi\)
0.135061 + 0.990837i \(0.456877\pi\)
\(644\) −1.15896 0.761000i −0.0456696 0.0299876i
\(645\) −5.37200 14.9355i −0.211522 0.588085i
\(646\) 23.3879 12.6222i 0.920186 0.496612i
\(647\) 30.9160 1.21544 0.607718 0.794153i \(-0.292085\pi\)
0.607718 + 0.794153i \(0.292085\pi\)
\(648\) 24.4936 + 6.93288i 0.962198 + 0.272349i
\(649\) −5.10354 −0.200331
\(650\) −4.89400 + 2.64122i −0.191958 + 0.103597i
\(651\) −4.97421 13.8296i −0.194955 0.542023i
\(652\) 24.9600 + 16.3893i 0.977508 + 0.641853i
\(653\) −14.2740 + 8.24109i −0.558584 + 0.322499i −0.752577 0.658504i \(-0.771190\pi\)
0.193993 + 0.981003i \(0.437856\pi\)
\(654\) −4.44133 3.97970i −0.173670 0.155618i
\(655\) −11.3579 6.55749i −0.443790 0.256222i
\(656\) −21.5879 16.0206i −0.842864 0.625498i
\(657\) −18.9693 + 15.6734i −0.740062 + 0.611477i
\(658\) −5.45775 + 8.85589i −0.212765 + 0.345239i
\(659\) −13.7838 + 23.8743i −0.536942 + 0.930010i 0.462125 + 0.886815i \(0.347087\pi\)
−0.999067 + 0.0431955i \(0.986246\pi\)
\(660\) 1.42352 5.92615i 0.0554105 0.230675i
\(661\) 5.86138 + 10.1522i 0.227981 + 0.394875i 0.957210 0.289395i \(-0.0934542\pi\)
−0.729229 + 0.684270i \(0.760121\pi\)
\(662\) −11.3974 0.327292i −0.442973 0.0127206i
\(663\) 32.5219 + 27.5001i 1.26305 + 1.06801i
\(664\) 30.1639 + 21.0698i 1.17059 + 0.817665i
\(665\) 5.94284i 0.230454i
\(666\) 4.54684 11.2089i 0.176186 0.434338i
\(667\) 6.96521i 0.269694i
\(668\) −4.67493 0.268715i −0.180878 0.0103969i
\(669\) 4.68777 26.0082i 0.181239 1.00554i
\(670\) 0.869225 30.2693i 0.0335811 1.16941i
\(671\) 1.68500 + 2.91850i 0.0650486 + 0.112667i
\(672\) −7.33163 + 6.49978i −0.282824 + 0.250735i
\(673\) −3.04565 + 5.27522i −0.117401 + 0.203345i −0.918737 0.394870i \(-0.870790\pi\)
0.801336 + 0.598215i \(0.204123\pi\)
\(674\) 19.4647 + 11.9958i 0.749754 + 0.462062i
\(675\) 5.73345 3.22376i 0.220680 0.124083i
\(676\) −3.01128 5.98460i −0.115818 0.230177i
\(677\) 25.8756 + 14.9393i 0.994481 + 0.574164i 0.906611 0.421968i \(-0.138661\pi\)
0.0878702 + 0.996132i \(0.471994\pi\)
\(678\) −11.4538 2.40581i −0.439880 0.0923945i
\(679\) 11.7967 6.81083i 0.452716 0.261376i
\(680\) 50.7645 23.7424i 1.94673 0.910481i
\(681\) 13.2371 + 2.38587i 0.507246 + 0.0914268i
\(682\) −4.00579 7.42244i −0.153390 0.284220i
\(683\) −5.57818 −0.213443 −0.106722 0.994289i \(-0.534035\pi\)
−0.106722 + 0.994289i \(0.534035\pi\)
\(684\) −14.1594 + 1.55708i −0.541398 + 0.0595366i
\(685\) −26.1195 −0.997974
\(686\) 0.671660 + 1.24454i 0.0256441 + 0.0475167i
\(687\) −12.7504 + 15.0788i −0.486460 + 0.575294i
\(688\) −1.67788 + 14.5471i −0.0639687 + 0.554604i
\(689\) −2.39322 + 1.38173i −0.0911745 + 0.0526396i
\(690\) −1.32322 4.03938i −0.0503741 0.153776i
\(691\) −6.59535 3.80783i −0.250899 0.144857i 0.369277 0.929319i \(-0.379605\pi\)
−0.620176 + 0.784463i \(0.712939\pi\)
\(692\) 1.80697 0.909216i 0.0686907 0.0345632i
\(693\) 0.736197 1.97591i 0.0279658 0.0750585i
\(694\) −9.21981 5.68202i −0.349979 0.215687i
\(695\) 14.8637 25.7447i 0.563813 0.976553i
\(696\) −47.5106 12.8656i −1.80089 0.487670i
\(697\) 26.5992 + 46.0711i 1.00751 + 1.74507i
\(698\) −0.357982 + 12.4662i −0.0135498 + 0.471851i
\(699\) −31.6371 + 11.3792i −1.19662 + 0.430401i
\(700\) −0.145284 + 2.52755i −0.00549122 + 0.0955326i
\(701\) 13.6591i 0.515896i −0.966159 0.257948i \(-0.916954\pi\)
0.966159 0.257948i \(-0.0830463\pi\)
\(702\) −10.6124 20.2111i −0.400540 0.762820i
\(703\) 6.76879i 0.255290i
\(704\) −3.60451 + 4.31565i −0.135850 + 0.162652i
\(705\) −30.0096 + 10.7938i −1.13023 + 0.406519i
\(706\) 4.59393 + 0.131921i 0.172895 + 0.00496490i
\(707\) −1.29202 2.23784i −0.0485913 0.0841625i
\(708\) 7.14083 + 24.1181i 0.268369 + 0.906412i
\(709\) −11.1244 + 19.2680i −0.417784 + 0.723624i −0.995716 0.0924613i \(-0.970527\pi\)
0.577932 + 0.816085i \(0.303860\pi\)
\(710\) −11.7847 + 19.1222i −0.442272 + 0.717643i
\(711\) 7.76336 1.30823i 0.291149 0.0490625i
\(712\) −4.84241 0.418088i −0.181477 0.0156685i
\(713\) −5.09424 2.94116i −0.190781 0.110147i
\(714\) 18.4256 6.03586i 0.689561 0.225886i
\(715\) −4.73329 + 2.73277i −0.177015 + 0.102200i
\(716\) 13.0248 19.8362i 0.486761 0.741312i
\(717\) 7.99484 9.45479i 0.298573 0.353096i
\(718\) −35.3489 + 19.0773i −1.31921 + 0.711959i
\(719\) 17.7827 0.663184 0.331592 0.943423i \(-0.392414\pi\)
0.331592 + 0.943423i \(0.392414\pi\)
\(720\) −29.9973 + 1.56461i −1.11793 + 0.0583097i
\(721\) 13.4614 0.501328
\(722\) −16.6314 + 8.97574i −0.618957 + 0.334043i
\(723\) 4.08195 + 0.735737i 0.151810 + 0.0273624i
\(724\) −12.8674 + 19.5964i −0.478212 + 0.728293i
\(725\) −11.0146 + 6.35929i −0.409072 + 0.236178i
\(726\) −5.28992 + 25.1847i −0.196328 + 0.934693i
\(727\) 45.2123 + 26.1034i 1.67683 + 0.968120i 0.963660 + 0.267131i \(0.0860758\pi\)
0.713173 + 0.700988i \(0.247258\pi\)
\(728\) 8.75390 + 0.755802i 0.324441 + 0.0280119i
\(729\) 12.9643 + 23.6839i 0.480158 + 0.877182i
\(730\) 15.2338 24.7188i 0.563829 0.914885i
\(731\) 14.4890 25.0956i 0.535894 0.928195i
\(732\) 11.4345 12.0464i 0.422630 0.445248i
\(733\) −5.30936 9.19609i −0.196106 0.339665i 0.751157 0.660124i \(-0.229496\pi\)
−0.947262 + 0.320459i \(0.896163\pi\)
\(734\) 6.53196 + 0.187574i 0.241099 + 0.00692348i
\(735\) −0.769066 + 4.26686i −0.0283674 + 0.157386i
\(736\) −0.560977 + 3.88122i −0.0206779 + 0.143064i
\(737\) 6.01242i 0.221470i
\(738\) −3.92910 28.2417i −0.144632 1.03959i
\(739\) 25.7536i 0.947362i 0.880696 + 0.473681i \(0.157075\pi\)
−0.880696 + 0.473681i \(0.842925\pi\)
\(740\) −0.819084 + 14.2499i −0.0301101 + 0.523836i
\(741\) 9.75438 + 8.24816i 0.358336 + 0.303004i
\(742\) −0.0361117 + 1.25753i −0.00132570 + 0.0461655i
\(743\) −1.97016 3.41241i −0.0722780 0.125189i 0.827621 0.561287i \(-0.189694\pi\)
−0.899899 + 0.436098i \(0.856360\pi\)
\(744\) −29.4717 + 29.3158i −1.08049 + 1.07477i
\(745\) −22.1550 + 38.3737i −0.811698 + 1.40590i
\(746\) 33.1949 + 20.4575i 1.21535 + 0.749003i
\(747\) 6.48496 + 38.4833i 0.237272 + 1.40803i
\(748\) 9.93976 5.00141i 0.363434 0.182870i
\(749\) 14.7545 + 8.51853i 0.539119 + 0.311260i
\(750\) 15.2793 17.0517i 0.557923 0.622640i
\(751\) −10.3540 + 5.97786i −0.377821 + 0.218135i −0.676870 0.736103i \(-0.736664\pi\)
0.299049 + 0.954238i \(0.403331\pi\)
\(752\) 29.2292 + 3.37133i 1.06588 + 0.122940i
\(753\) −1.79367 4.98685i −0.0653649 0.181731i
\(754\) 20.9638 + 38.8444i 0.763457 + 1.41463i
\(755\) −52.5466 −1.91237
\(756\) −10.3677 0.714413i −0.377070 0.0259829i
\(757\) 1.73758 0.0631534 0.0315767 0.999501i \(-0.489947\pi\)
0.0315767 + 0.999501i \(0.489947\pi\)
\(758\) 13.8205 + 25.6084i 0.501983 + 0.930138i
\(759\) −0.285637 0.794142i −0.0103680 0.0288255i
\(760\) 15.2259 7.12113i 0.552302 0.258310i
\(761\) −25.7786 + 14.8833i −0.934473 + 0.539518i −0.888223 0.459412i \(-0.848060\pi\)
−0.0462496 + 0.998930i \(0.514727\pi\)
\(762\) −8.03254 + 8.96429i −0.290988 + 0.324742i
\(763\) 2.10842 + 1.21729i 0.0763298 + 0.0440690i
\(764\) 6.07933 + 12.0820i 0.219942 + 0.437112i
\(765\) 55.7012 + 20.7535i 2.01388 + 0.750346i
\(766\) −0.110175 0.0678989i −0.00398077 0.00245329i
\(767\) 11.2782 19.5343i 0.407231 0.705344i
\(768\) 25.4381 + 10.9956i 0.917918 + 0.396769i
\(769\) 11.5167 + 19.9475i 0.415303 + 0.719327i 0.995460 0.0951782i \(-0.0303421\pi\)
−0.580157 + 0.814505i \(0.697009\pi\)
\(770\) −0.0714214 + 2.48713i −0.00257385 + 0.0896301i
\(771\) −26.2568 22.2024i −0.945615 0.799598i
\(772\) −5.52315 0.317471i −0.198783 0.0114260i
\(773\) 1.33102i 0.0478734i 0.999713 + 0.0239367i \(0.00762002\pi\)