Properties

Label 128.3.l.a.3.12
Level 128
Weight 3
Character 128.3
Analytic conductor 3.488
Analytic rank 0
Dimension 496
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.12
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.687532 + 1.87811i) q^{2} +(3.91403 - 3.21216i) q^{3} +(-3.05460 - 2.58252i) q^{4} +(-8.46864 - 2.56894i) q^{5} +(3.34178 + 9.55944i) q^{6} +(-0.593205 - 2.98225i) q^{7} +(6.95040 - 3.96131i) q^{8} +(3.24584 - 16.3179i) q^{9} +O(q^{10})\) \(q+(-0.687532 + 1.87811i) q^{2} +(3.91403 - 3.21216i) q^{3} +(-3.05460 - 2.58252i) q^{4} +(-8.46864 - 2.56894i) q^{5} +(3.34178 + 9.55944i) q^{6} +(-0.593205 - 2.98225i) q^{7} +(6.95040 - 3.96131i) q^{8} +(3.24584 - 16.3179i) q^{9} +(10.6472 - 14.1388i) q^{10} +(0.723029 + 7.34104i) q^{11} +(-20.2513 - 0.296198i) q^{12} +(-5.58169 - 18.4004i) q^{13} +(6.00883 + 0.936283i) q^{14} +(-41.3984 + 17.1478i) q^{15} +(2.66116 + 15.7771i) q^{16} +(0.326137 - 0.787364i) q^{17} +(28.4153 + 17.3151i) q^{18} +(3.73151 - 6.98117i) q^{19} +(19.2340 + 29.7175i) q^{20} +(-11.9013 - 9.76713i) q^{21} +(-14.2844 - 3.68927i) q^{22} +(28.7178 - 19.1886i) q^{23} +(14.4797 - 37.8305i) q^{24} +(44.3318 + 29.6215i) q^{25} +(38.3955 + 2.16780i) q^{26} +(-18.2298 - 34.1056i) q^{27} +(-5.88971 + 10.6415i) q^{28} +(-5.16616 + 52.4529i) q^{29} +(-3.74271 - 89.5403i) q^{30} +(13.3385 + 13.3385i) q^{31} +(-31.4609 - 5.84932i) q^{32} +(26.4106 + 26.4106i) q^{33} +(1.25453 + 1.15386i) q^{34} +(-2.63755 + 26.7795i) q^{35} +(-52.0561 + 41.4623i) q^{36} +(-19.3999 - 36.2946i) q^{37} +(10.5459 + 11.8080i) q^{38} +(-80.9519 - 54.0903i) q^{39} +(-69.0368 + 15.6918i) q^{40} +(16.0435 - 10.7200i) q^{41} +(26.5263 - 15.6367i) q^{42} +(-3.22073 - 2.64318i) q^{43} +(16.7498 - 24.2912i) q^{44} +(-69.4075 + 129.852i) q^{45} +(16.2940 + 67.1280i) q^{46} +(1.11778 - 2.69856i) q^{47} +(61.0946 + 53.2041i) q^{48} +(36.7282 - 15.2133i) q^{49} +(-86.1120 + 62.8942i) q^{50} +(-1.25263 - 4.12937i) q^{51} +(-30.4695 + 70.6206i) q^{52} +(4.28928 + 43.5498i) q^{53} +(76.5878 - 10.7890i) q^{54} +(12.7356 - 64.0261i) q^{55} +(-15.9366 - 18.3779i) q^{56} +(-7.81939 - 39.3107i) q^{57} +(-94.9605 - 45.7657i) q^{58} +(-21.3979 - 6.49099i) q^{59} +(170.740 + 54.5326i) q^{60} +(50.4076 - 41.3684i) q^{61} +(-34.2218 + 15.8805i) q^{62} -50.5895 q^{63} +(32.6160 - 55.0654i) q^{64} +170.165i q^{65} +(-67.7601 + 31.4439i) q^{66} +(-72.5273 - 88.3748i) q^{67} +(-3.02960 + 1.56283i) q^{68} +(50.7654 - 167.351i) q^{69} +(-48.4814 - 23.3654i) q^{70} +(34.6028 - 6.88293i) q^{71} +(-42.0805 - 126.274i) q^{72} +(-41.7484 - 8.30428i) q^{73} +(81.5033 - 11.4814i) q^{74} +(268.665 - 26.4612i) q^{75} +(-29.4273 + 11.6880i) q^{76} +(21.4639 - 6.51099i) q^{77} +(157.245 - 114.848i) q^{78} +(14.4300 + 34.8371i) q^{79} +(17.9940 - 140.447i) q^{80} +(-42.5646 - 17.6308i) q^{81} +(9.10281 + 37.5019i) q^{82} +(-29.0696 - 15.5380i) q^{83} +(11.1298 + 60.5700i) q^{84} +(-4.78463 + 5.83008i) q^{85} +(7.17855 - 4.23161i) q^{86} +(148.267 + 221.897i) q^{87} +(34.1055 + 48.1590i) q^{88} +(-42.1422 + 63.0703i) q^{89} +(-196.157 - 219.633i) q^{90} +(-51.5633 + 27.5612i) q^{91} +(-137.276 - 15.5508i) q^{92} +(95.0527 + 9.36188i) q^{93} +(4.29969 + 3.95466i) q^{94} +(-49.5350 + 49.5350i) q^{95} +(-141.928 + 78.1629i) q^{96} +(55.5595 - 55.5595i) q^{97} +(3.32049 + 79.4393i) q^{98} +(122.137 + 12.0295i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.687532 + 1.87811i −0.343766 + 0.939055i
\(3\) 3.91403 3.21216i 1.30468 1.07072i 0.311979 0.950089i \(-0.399008\pi\)
0.992697 0.120632i \(-0.0384920\pi\)
\(4\) −3.05460 2.58252i −0.763650 0.645630i
\(5\) −8.46864 2.56894i −1.69373 0.513787i −0.711695 0.702489i \(-0.752072\pi\)
−0.982034 + 0.188702i \(0.939572\pi\)
\(6\) 3.34178 + 9.55944i 0.556963 + 1.59324i
\(7\) −0.593205 2.98225i −0.0847436 0.426035i −0.999745 0.0225842i \(-0.992811\pi\)
0.915001 0.403451i \(-0.132189\pi\)
\(8\) 6.95040 3.96131i 0.868800 0.495164i
\(9\) 3.24584 16.3179i 0.360649 1.81310i
\(10\) 10.6472 14.1388i 1.06472 1.41388i
\(11\) 0.723029 + 7.34104i 0.0657299 + 0.667367i 0.970441 + 0.241340i \(0.0775870\pi\)
−0.904711 + 0.426027i \(0.859913\pi\)
\(12\) −20.2513 0.296198i −1.68761 0.0246832i
\(13\) −5.58169 18.4004i −0.429361 1.41541i −0.858797 0.512316i \(-0.828788\pi\)
0.429436 0.903097i \(-0.358712\pi\)
\(14\) 6.00883 + 0.936283i 0.429202 + 0.0668773i
\(15\) −41.3984 + 17.1478i −2.75989 + 1.14318i
\(16\) 2.66116 + 15.7771i 0.166323 + 0.986071i
\(17\) 0.326137 0.787364i 0.0191845 0.0463155i −0.913997 0.405721i \(-0.867020\pi\)
0.933182 + 0.359405i \(0.117020\pi\)
\(18\) 28.4153 + 17.3151i 1.57863 + 0.961952i
\(19\) 3.73151 6.98117i 0.196395 0.367430i −0.764376 0.644770i \(-0.776953\pi\)
0.960772 + 0.277340i \(0.0894530\pi\)
\(20\) 19.2340 + 29.7175i 0.961700 + 1.48588i
\(21\) −11.9013 9.76713i −0.566727 0.465101i
\(22\) −14.2844 3.68927i −0.649290 0.167694i
\(23\) 28.7178 19.1886i 1.24860 0.834288i 0.257354 0.966317i \(-0.417149\pi\)
0.991246 + 0.132029i \(0.0421492\pi\)
\(24\) 14.4797 37.8305i 0.603320 1.57627i
\(25\) 44.3318 + 29.6215i 1.77327 + 1.18486i
\(26\) 38.3955 + 2.16780i 1.47675 + 0.0833771i
\(27\) −18.2298 34.1056i −0.675179 1.26317i
\(28\) −5.88971 + 10.6415i −0.210347 + 0.380055i
\(29\) −5.16616 + 52.4529i −0.178144 + 1.80872i 0.326289 + 0.945270i \(0.394202\pi\)
−0.504432 + 0.863451i \(0.668298\pi\)
\(30\) −3.74271 89.5403i −0.124757 2.98468i
\(31\) 13.3385 + 13.3385i 0.430274 + 0.430274i 0.888722 0.458447i \(-0.151594\pi\)
−0.458447 + 0.888722i \(0.651594\pi\)
\(32\) −31.4609 5.84932i −0.983152 0.182791i
\(33\) 26.4106 + 26.4106i 0.800320 + 0.800320i
\(34\) 1.25453 + 1.15386i 0.0368979 + 0.0339370i
\(35\) −2.63755 + 26.7795i −0.0753585 + 0.765128i
\(36\) −52.0561 + 41.4623i −1.44600 + 1.15173i
\(37\) −19.3999 36.2946i −0.524321 0.980935i −0.995118 0.0986937i \(-0.968534\pi\)
0.470797 0.882242i \(-0.343966\pi\)
\(38\) 10.5459 + 11.8080i 0.277523 + 0.310736i
\(39\) −80.9519 54.0903i −2.07569 1.38693i
\(40\) −69.0368 + 15.6918i −1.72592 + 0.392296i
\(41\) 16.0435 10.7200i 0.391306 0.261462i −0.344317 0.938853i \(-0.611890\pi\)
0.735623 + 0.677391i \(0.236890\pi\)
\(42\) 26.5263 15.6367i 0.631577 0.372303i
\(43\) −3.22073 2.64318i −0.0749007 0.0614694i 0.596198 0.802837i \(-0.296677\pi\)
−0.671099 + 0.741368i \(0.734177\pi\)
\(44\) 16.7498 24.2912i 0.380678 0.552072i
\(45\) −69.4075 + 129.852i −1.54239 + 2.88561i
\(46\) 16.2940 + 67.1280i 0.354216 + 1.45930i
\(47\) 1.11778 2.69856i 0.0237826 0.0574162i −0.911542 0.411207i \(-0.865107\pi\)
0.935325 + 0.353791i \(0.115107\pi\)
\(48\) 61.0946 + 53.2041i 1.27280 + 1.10842i
\(49\) 36.7282 15.2133i 0.749555 0.310476i
\(50\) −86.1120 + 62.8942i −1.72224 + 1.25788i
\(51\) −1.25263 4.12937i −0.0245614 0.0809681i
\(52\) −30.4695 + 70.6206i −0.585952 + 1.35809i
\(53\) 4.28928 + 43.5498i 0.0809298 + 0.821694i 0.946885 + 0.321573i \(0.104211\pi\)
−0.865955 + 0.500122i \(0.833289\pi\)
\(54\) 76.5878 10.7890i 1.41829 0.199795i
\(55\) 12.7356 64.0261i 0.231556 1.16411i
\(56\) −15.9366 18.3779i −0.284582 0.328177i
\(57\) −7.81939 39.3107i −0.137182 0.689662i
\(58\) −94.9605 45.7657i −1.63725 0.789063i
\(59\) −21.3979 6.49099i −0.362677 0.110017i 0.103687 0.994610i \(-0.466936\pi\)
−0.466363 + 0.884593i \(0.654436\pi\)
\(60\) 170.740 + 54.5326i 2.84567 + 0.908877i
\(61\) 50.4076 41.3684i 0.826354 0.678171i −0.122991 0.992408i \(-0.539249\pi\)
0.949345 + 0.314237i \(0.101749\pi\)
\(62\) −34.2218 + 15.8805i −0.551965 + 0.256138i
\(63\) −50.5895 −0.803008
\(64\) 32.6160 55.0654i 0.509625 0.860396i
\(65\) 170.165i 2.61793i
\(66\) −67.7601 + 31.4439i −1.02667 + 0.476422i
\(67\) −72.5273 88.3748i −1.08250 1.31903i −0.944470 0.328598i \(-0.893424\pi\)
−0.138027 0.990428i \(-0.544076\pi\)
\(68\) −3.02960 + 1.56283i −0.0445530 + 0.0229828i
\(69\) 50.7654 167.351i 0.735730 2.42538i
\(70\) −48.4814 23.3654i −0.692592 0.333791i
\(71\) 34.6028 6.88293i 0.487364 0.0969427i 0.0547090 0.998502i \(-0.482577\pi\)
0.432655 + 0.901560i \(0.357577\pi\)
\(72\) −42.0805 126.274i −0.584452 1.75380i
\(73\) −41.7484 8.30428i −0.571896 0.113757i −0.0993335 0.995054i \(-0.531671\pi\)
−0.472563 + 0.881297i \(0.656671\pi\)
\(74\) 81.5033 11.4814i 1.10140 0.155154i
\(75\) 268.665 26.4612i 3.58220 0.352816i
\(76\) −29.4273 + 11.6880i −0.387201 + 0.153789i
\(77\) 21.4639 6.51099i 0.278752 0.0845584i
\(78\) 157.245 114.848i 2.01596 1.47241i
\(79\) 14.4300 + 34.8371i 0.182658 + 0.440977i 0.988513 0.151137i \(-0.0482936\pi\)
−0.805854 + 0.592114i \(0.798294\pi\)
\(80\) 17.9940 140.447i 0.224925 1.75559i
\(81\) −42.5646 17.6308i −0.525489 0.217665i
\(82\) 9.10281 + 37.5019i 0.111010 + 0.457340i
\(83\) −29.0696 15.5380i −0.350236 0.187205i 0.286892 0.957963i \(-0.407378\pi\)
−0.637128 + 0.770758i \(0.719878\pi\)
\(84\) 11.1298 + 60.5700i 0.132498 + 0.721071i
\(85\) −4.78463 + 5.83008i −0.0562897 + 0.0685892i
\(86\) 7.17855 4.23161i 0.0834715 0.0492048i
\(87\) 148.267 + 221.897i 1.70422 + 2.55054i
\(88\) 34.1055 + 48.1590i 0.387562 + 0.547261i
\(89\) −42.1422 + 63.0703i −0.473508 + 0.708655i −0.988947 0.148272i \(-0.952629\pi\)
0.515439 + 0.856926i \(0.327629\pi\)
\(90\) −196.157 219.633i −2.17952 2.44036i
\(91\) −51.5633 + 27.5612i −0.566630 + 0.302870i
\(92\) −137.276 15.5508i −1.49214 0.169030i
\(93\) 95.0527 + 9.36188i 1.02207 + 0.100665i
\(94\) 4.29969 + 3.95466i 0.0457414 + 0.0420709i
\(95\) −49.5350 + 49.5350i −0.521421 + 0.521421i
\(96\) −141.928 + 78.1629i −1.47841 + 0.814197i
\(97\) 55.5595 55.5595i 0.572778 0.572778i −0.360126 0.932904i \(-0.617266\pi\)
0.932904 + 0.360126i \(0.117266\pi\)
\(98\) 3.32049 + 79.4393i 0.0338826 + 0.810605i
\(99\) 122.137 + 12.0295i 1.23371 + 0.121510i
\(100\) −58.9176 204.970i −0.589176 2.04970i
\(101\) 75.6414 40.4311i 0.748924 0.400308i −0.0523319 0.998630i \(-0.516665\pi\)
0.801256 + 0.598321i \(0.204165\pi\)
\(102\) 8.61664 + 0.486494i 0.0844769 + 0.00476955i
\(103\) −3.14444 + 4.70599i −0.0305286 + 0.0456893i −0.846420 0.532516i \(-0.821247\pi\)
0.815891 + 0.578205i \(0.196247\pi\)
\(104\) −111.685 105.779i −1.07389 1.01711i
\(105\) 75.6966 + 113.288i 0.720920 + 1.07893i
\(106\) −84.7404 21.8861i −0.799437 0.206473i
\(107\) 85.5853 104.286i 0.799863 0.974636i −0.200124 0.979771i \(-0.564135\pi\)
0.999987 + 0.00513504i \(0.00163454\pi\)
\(108\) −32.3937 + 151.258i −0.299941 + 1.40054i
\(109\) 100.435 + 53.6836i 0.921421 + 0.492510i 0.862672 0.505763i \(-0.168789\pi\)
0.0587484 + 0.998273i \(0.481289\pi\)
\(110\) 111.492 + 67.9388i 1.01356 + 0.617625i
\(111\) −192.516 79.7427i −1.73438 0.718402i
\(112\) 45.4727 17.2953i 0.406006 0.154423i
\(113\) 1.07515 + 2.59565i 0.00951462 + 0.0229703i 0.928565 0.371169i \(-0.121043\pi\)
−0.919051 + 0.394139i \(0.871043\pi\)
\(114\) 79.2060 + 12.3417i 0.694789 + 0.108260i
\(115\) −292.495 + 88.7275i −2.54344 + 0.771543i
\(116\) 151.241 146.881i 1.30380 1.26622i
\(117\) −318.373 + 31.3570i −2.72114 + 0.268009i
\(118\) 26.9025 35.7249i 0.227988 0.302753i
\(119\) −2.54158 0.505552i −0.0213578 0.00424833i
\(120\) −219.807 + 283.176i −1.83173 + 2.35980i
\(121\) 65.3069 12.9904i 0.539727 0.107358i
\(122\) 43.0377 + 123.113i 0.352768 + 1.00912i
\(123\) 28.3607 93.4927i 0.230575 0.760103i
\(124\) −6.29682 75.1908i −0.0507808 0.606377i
\(125\) −158.979 193.717i −1.27183 1.54973i
\(126\) 34.7819 95.0127i 0.276047 0.754069i
\(127\) 188.646i 1.48540i 0.669622 + 0.742702i \(0.266456\pi\)
−0.669622 + 0.742702i \(0.733544\pi\)
\(128\) 80.9943 + 99.1157i 0.632768 + 0.774341i
\(129\) −21.0964 −0.163538
\(130\) −319.589 116.994i −2.45838 0.899954i
\(131\) −48.0104 + 39.4012i −0.366492 + 0.300772i −0.799557 0.600591i \(-0.794932\pi\)
0.433065 + 0.901363i \(0.357432\pi\)
\(132\) −12.4679 148.880i −0.0944535 1.12788i
\(133\) −23.0331 6.98702i −0.173181 0.0525340i
\(134\) 215.842 75.4539i 1.61076 0.563088i
\(135\) 66.7669 + 335.660i 0.494570 + 2.48637i
\(136\) −0.852214 6.76442i −0.00626628 0.0497384i
\(137\) 4.42130 22.2274i 0.0322723 0.162244i −0.961289 0.275544i \(-0.911142\pi\)
0.993561 + 0.113300i \(0.0361421\pi\)
\(138\) 279.401 + 210.402i 2.02465 + 1.52465i
\(139\) −0.275060 2.79273i −0.00197885 0.0200916i 0.994145 0.108058i \(-0.0344632\pi\)
−0.996123 + 0.0879663i \(0.971963\pi\)
\(140\) 77.2152 74.9891i 0.551537 0.535636i
\(141\) −4.29319 14.1527i −0.0304481 0.100374i
\(142\) −10.8636 + 69.7202i −0.0765045 + 0.490987i
\(143\) 131.042 54.2794i 0.916378 0.379576i
\(144\) 266.088 + 7.78535i 1.84783 + 0.0540649i
\(145\) 178.499 430.934i 1.23102 2.97196i
\(146\) 44.2997 72.6987i 0.303423 0.497937i
\(147\) 94.8876 177.522i 0.645494 1.20763i
\(148\) −34.4728 + 160.966i −0.232924 + 1.08761i
\(149\) 35.8424 + 29.4151i 0.240553 + 0.197417i 0.746943 0.664888i \(-0.231521\pi\)
−0.506391 + 0.862304i \(0.669021\pi\)
\(150\) −135.019 + 522.776i −0.900125 + 3.48517i
\(151\) −191.552 + 127.991i −1.26855 + 0.847620i −0.993503 0.113809i \(-0.963695\pi\)
−0.275051 + 0.961430i \(0.588695\pi\)
\(152\) −1.71910 63.3036i −0.0113098 0.416471i
\(153\) −11.7896 7.87753i −0.0770560 0.0514871i
\(154\) −2.52872 + 44.7880i −0.0164203 + 0.290831i
\(155\) −78.6933 147.225i −0.507699 0.949837i
\(156\) 107.586 + 374.284i 0.689655 + 2.39926i
\(157\) −6.61962 + 67.2101i −0.0421632 + 0.428090i 0.950812 + 0.309768i \(0.100251\pi\)
−0.992975 + 0.118322i \(0.962249\pi\)
\(158\) −75.3491 + 3.14953i −0.476893 + 0.0199337i
\(159\) 156.677 + 156.677i 0.985392 + 0.985392i
\(160\) 251.404 + 130.357i 1.57128 + 0.814730i
\(161\) −74.2607 74.2607i −0.461247 0.461247i
\(162\) 62.3772 67.8193i 0.385045 0.418638i
\(163\) 12.0663 122.511i 0.0740264 0.751603i −0.884489 0.466561i \(-0.845493\pi\)
0.958515 0.285041i \(-0.0920074\pi\)
\(164\) −76.6911 8.68763i −0.467629 0.0529733i
\(165\) −155.815 291.509i −0.944331 1.76672i
\(166\) 49.1683 43.9130i 0.296195 0.264536i
\(167\) 123.763 + 82.6956i 0.741094 + 0.495183i 0.867897 0.496745i \(-0.165472\pi\)
−0.126803 + 0.991928i \(0.540472\pi\)
\(168\) −121.409 20.7407i −0.722674 0.123457i
\(169\) −166.900 + 111.519i −0.987574 + 0.659876i
\(170\) −7.65996 12.9944i −0.0450586 0.0764378i
\(171\) −101.806 83.5503i −0.595358 0.488598i
\(172\) 3.01196 + 16.3915i 0.0175114 + 0.0952993i
\(173\) 47.7094 89.2580i 0.275777 0.515942i −0.705460 0.708750i \(-0.749259\pi\)
0.981237 + 0.192808i \(0.0617594\pi\)
\(174\) −518.685 + 125.900i −2.98095 + 0.723565i
\(175\) 62.0409 149.780i 0.354519 0.855885i
\(176\) −113.897 + 30.9430i −0.647139 + 0.175813i
\(177\) −104.602 + 43.3276i −0.590973 + 0.244789i
\(178\) −89.4788 122.511i −0.502690 0.688261i
\(179\) 52.3241 + 172.489i 0.292313 + 0.963628i 0.972952 + 0.231009i \(0.0742025\pi\)
−0.680638 + 0.732620i \(0.738297\pi\)
\(180\) 547.359 217.401i 3.04088 1.20778i
\(181\) −5.82109 59.1026i −0.0321607 0.326534i −0.997781 0.0665777i \(-0.978792\pi\)
0.965621 0.259956i \(-0.0837080\pi\)
\(182\) −16.3115 115.791i −0.0896237 0.636213i
\(183\) 64.4147 323.835i 0.351993 1.76959i
\(184\) 123.588 247.129i 0.671674 1.34309i
\(185\) 71.0521 + 357.203i 0.384066 + 1.93083i
\(186\) −82.9344 + 172.083i −0.445884 + 0.925177i
\(187\) 6.01588 + 1.82490i 0.0321705 + 0.00975880i
\(188\) −10.3835 + 5.35634i −0.0552312 + 0.0284911i
\(189\) −90.8973 + 74.5975i −0.480938 + 0.394696i
\(190\) −58.9753 127.089i −0.310397 0.668890i
\(191\) −329.085 −1.72296 −0.861478 0.507795i \(-0.830461\pi\)
−0.861478 + 0.507795i \(0.830461\pi\)
\(192\) −49.2188 320.295i −0.256348 1.66821i
\(193\) 328.598i 1.70258i 0.524697 + 0.851289i \(0.324179\pi\)
−0.524697 + 0.851289i \(0.675821\pi\)
\(194\) 66.1479 + 142.546i 0.340969 + 0.734772i
\(195\) 546.598 + 666.032i 2.80307 + 3.41555i
\(196\) −151.479 48.3808i −0.772851 0.246841i
\(197\) −70.8743 + 233.641i −0.359768 + 1.18600i 0.571174 + 0.820829i \(0.306488\pi\)
−0.930942 + 0.365167i \(0.881012\pi\)
\(198\) −106.566 + 221.117i −0.538212 + 1.11675i
\(199\) −14.5171 + 2.88762i −0.0729500 + 0.0145107i −0.231430 0.972851i \(-0.574341\pi\)
0.158480 + 0.987362i \(0.449341\pi\)
\(200\) 425.464 + 30.2695i 2.12732 + 0.151347i
\(201\) −567.748 112.932i −2.82462 0.561851i
\(202\) 23.9283 + 169.861i 0.118457 + 0.840894i
\(203\) 159.492 15.7086i 0.785675 0.0773823i
\(204\) −6.83790 + 15.8485i −0.0335191 + 0.0776889i
\(205\) −163.406 + 49.5686i −0.797102 + 0.241798i
\(206\) −6.67647 9.14114i −0.0324101 0.0443744i
\(207\) −219.905 530.898i −1.06234 2.56473i
\(208\) 275.451 137.030i 1.32429 0.658796i
\(209\) 53.9470 + 22.3456i 0.258120 + 0.106917i
\(210\) −264.811 + 64.2775i −1.26101 + 0.306083i
\(211\) −38.2306 20.4347i −0.181188 0.0968468i 0.378309 0.925679i \(-0.376506\pi\)
−0.559497 + 0.828832i \(0.689006\pi\)
\(212\) 99.3662 144.104i 0.468709 0.679738i
\(213\) 113.327 138.090i 0.532054 0.648309i
\(214\) 137.018 + 232.439i 0.640271 + 1.08616i
\(215\) 20.4850 + 30.6580i 0.0952793 + 0.142596i
\(216\) −261.808 164.834i −1.21207 0.763119i
\(217\) 31.8662 47.6912i 0.146849 0.219775i
\(218\) −169.876 + 151.719i −0.779247 + 0.695957i
\(219\) −190.079 + 101.600i −0.867942 + 0.463925i
\(220\) −204.251 + 162.684i −0.928413 + 0.739473i
\(221\) −16.3082 1.60622i −0.0737927 0.00726795i
\(222\) 282.126 306.740i 1.27084 1.38171i
\(223\) 273.825 273.825i 1.22792 1.22792i 0.263164 0.964751i \(-0.415234\pi\)
0.964751 0.263164i \(-0.0847662\pi\)
\(224\) 1.21863 + 97.2938i 0.00544032 + 0.434347i
\(225\) 627.256 627.256i 2.78780 2.78780i
\(226\) −5.61411 + 0.234665i −0.0248412 + 0.00103834i
\(227\) −240.105 23.6483i −1.05773 0.104178i −0.445836 0.895115i \(-0.647093\pi\)
−0.611897 + 0.790937i \(0.709593\pi\)
\(228\) −77.6357 + 140.272i −0.340507 + 0.615229i
\(229\) −78.5078 + 41.9633i −0.342829 + 0.183246i −0.633821 0.773480i \(-0.718515\pi\)
0.290993 + 0.956725i \(0.406015\pi\)
\(230\) 34.4598 610.341i 0.149825 2.65366i
\(231\) 63.0959 94.4296i 0.273142 0.408786i
\(232\) 171.876 + 385.033i 0.740843 + 1.65963i
\(233\) −212.685 318.305i −0.912809 1.36612i −0.930508 0.366273i \(-0.880634\pi\)
0.0176981 0.999843i \(-0.494366\pi\)
\(234\) 160.000 619.499i 0.683759 2.64743i
\(235\) −16.3985 + 19.9817i −0.0697810 + 0.0850283i
\(236\) 48.5990 + 75.0880i 0.205928 + 0.318169i
\(237\) 168.382 + 90.0021i 0.710473 + 0.379756i
\(238\) 2.69690 4.42578i 0.0113315 0.0185957i
\(239\) −225.722 93.4970i −0.944442 0.391201i −0.143303 0.989679i \(-0.545772\pi\)
−0.801139 + 0.598478i \(0.795772\pi\)
\(240\) −380.711 607.515i −1.58629 2.53131i
\(241\) 116.766 + 281.898i 0.484507 + 1.16970i 0.957447 + 0.288608i \(0.0931925\pi\)
−0.472941 + 0.881094i \(0.656807\pi\)
\(242\) −20.5033 + 131.585i −0.0847242 + 0.543740i
\(243\) 109.829 33.3161i 0.451970 0.137103i
\(244\) −260.810 3.81464i −1.06889 0.0156338i
\(245\) −350.120 + 34.4838i −1.42906 + 0.140750i
\(246\) 156.091 + 117.544i 0.634515 + 0.477820i
\(247\) −149.284 29.6945i −0.604390 0.120221i
\(248\) 145.546 + 39.8699i 0.586878 + 0.160766i
\(249\) −163.690 + 32.5599i −0.657388 + 0.130763i
\(250\) 473.125 165.394i 1.89250 0.661577i
\(251\) −57.2400 + 188.695i −0.228048 + 0.751773i 0.766001 + 0.642839i \(0.222244\pi\)
−0.994049 + 0.108934i \(0.965256\pi\)
\(252\) 154.531 + 130.648i 0.613217 + 0.518446i
\(253\) 161.628 + 196.945i 0.638847 + 0.778437i
\(254\) −354.299 129.700i −1.39488 0.510631i
\(255\) 38.1881i 0.149757i
\(256\) −241.836 + 83.9711i −0.944673 + 0.328012i
\(257\) 275.737 1.07291 0.536453 0.843930i \(-0.319764\pi\)
0.536453 + 0.843930i \(0.319764\pi\)
\(258\) 14.5044 39.6213i 0.0562187 0.153571i
\(259\) −96.7313 + 79.3853i −0.373480 + 0.306507i
\(260\) 439.455 519.787i 1.69021 1.99918i
\(261\) 839.154 + 254.555i 3.21515 + 0.975305i
\(262\) −40.9910 117.258i −0.156454 0.447551i
\(263\) 15.3363 + 77.1009i 0.0583130 + 0.293159i 0.998927 0.0463195i \(-0.0147492\pi\)
−0.940614 + 0.339479i \(0.889749\pi\)
\(264\) 288.184 + 78.9434i 1.09161 + 0.299028i
\(265\) 75.5522 379.827i 0.285103 1.43331i
\(266\) 28.9584 38.4549i 0.108866 0.144567i
\(267\) 37.6460 + 382.226i 0.140996 + 1.43156i
\(268\) −6.68785 + 457.253i −0.0249547 + 1.70617i
\(269\) −106.363 350.633i −0.395403 1.30347i −0.898399 0.439180i \(-0.855269\pi\)
0.502996 0.864289i \(-0.332231\pi\)
\(270\) −676.311 105.381i −2.50485 0.390301i
\(271\) 236.422 97.9294i 0.872407 0.361363i 0.0988600 0.995101i \(-0.468480\pi\)
0.773547 + 0.633738i \(0.218480\pi\)
\(272\) 13.2903 + 3.05020i 0.0488613 + 0.0112140i
\(273\) −113.289 + 273.505i −0.414980 + 1.00185i
\(274\) 38.7057 + 23.5857i 0.141262 + 0.0860793i
\(275\) −185.400 + 346.859i −0.674181 + 1.26130i
\(276\) −587.256 + 380.088i −2.12774 + 1.37713i
\(277\) 238.072 + 195.380i 0.859464 + 0.705344i 0.957062 0.289882i \(-0.0936160\pi\)
−0.0975983 + 0.995226i \(0.531116\pi\)
\(278\) 5.43417 + 1.40350i 0.0195474 + 0.00504856i
\(279\) 260.951 174.362i 0.935309 0.624954i
\(280\) 87.7499 + 196.576i 0.313392 + 0.702058i
\(281\) −74.3682 49.6913i −0.264656 0.176837i 0.416161 0.909291i \(-0.363375\pi\)
−0.680817 + 0.732453i \(0.738375\pi\)
\(282\) 29.5321 + 1.66738i 0.104724 + 0.00591269i
\(283\) −136.617 255.593i −0.482747 0.903156i −0.998911 0.0466660i \(-0.985140\pi\)
0.516164 0.856490i \(-0.327360\pi\)
\(284\) −123.473 68.3379i −0.434764 0.240627i
\(285\) −34.7671 + 352.996i −0.121990 + 1.23858i
\(286\) 11.8472 + 283.430i 0.0414236 + 0.991016i
\(287\) −41.4866 41.4866i −0.144553 0.144553i
\(288\) −197.566 + 494.390i −0.685992 + 1.71663i
\(289\) 203.840 + 203.840i 0.705330 + 0.705330i
\(290\) 686.618 + 631.521i 2.36765 + 2.17766i
\(291\) 38.9954 395.927i 0.134005 1.36058i
\(292\) 106.079 + 133.183i 0.363284 + 0.456105i
\(293\) 140.862 + 263.534i 0.480756 + 0.899432i 0.999022 + 0.0442123i \(0.0140778\pi\)
−0.518266 + 0.855220i \(0.673422\pi\)
\(294\) 268.168 + 300.262i 0.912137 + 1.02130i
\(295\) 164.536 + 109.940i 0.557751 + 0.372677i
\(296\) −278.611 175.413i −0.941254 0.592611i
\(297\) 237.190 158.485i 0.798620 0.533621i
\(298\) −79.8875 + 47.0922i −0.268079 + 0.158027i
\(299\) −513.372 421.313i −1.71696 1.40907i
\(300\) −889.001 613.005i −2.96334 2.04335i
\(301\) −5.97207 + 11.1730i −0.0198408 + 0.0371195i
\(302\) −108.683 447.753i −0.359877 1.48262i
\(303\) 166.191 401.221i 0.548486 1.32416i
\(304\) 120.073 + 40.2946i 0.394977 + 0.132548i
\(305\) −533.157 + 220.841i −1.74805 + 0.724068i
\(306\) 22.9006 16.7260i 0.0748385 0.0546603i
\(307\) 159.335 + 525.258i 0.519008 + 1.71094i 0.688348 + 0.725381i \(0.258336\pi\)
−0.169340 + 0.985558i \(0.554164\pi\)
\(308\) −82.3783 35.5424i −0.267462 0.115397i
\(309\) 2.80896 + 28.5199i 0.00909049 + 0.0922973i
\(310\) 330.609 46.5730i 1.06648 0.150235i
\(311\) −81.5648 + 410.054i −0.262266 + 1.31850i 0.595040 + 0.803696i \(0.297136\pi\)
−0.857307 + 0.514806i \(0.827864\pi\)
\(312\) −776.916 55.2735i −2.49012 0.177159i
\(313\) −69.1865 347.824i −0.221043 1.11126i −0.918739 0.394865i \(-0.870791\pi\)
0.697696 0.716394i \(-0.254209\pi\)
\(314\) −121.677 58.6415i −0.387506 0.186756i
\(315\) 428.425 + 129.961i 1.36008 + 0.412575i
\(316\) 45.8897 143.679i 0.145221 0.454682i
\(317\) −22.7315 + 18.6553i −0.0717082 + 0.0588494i −0.669565 0.742754i \(-0.733519\pi\)
0.597856 + 0.801603i \(0.296019\pi\)
\(318\) −401.978 + 186.537i −1.26408 + 0.586594i
\(319\) −388.794 −1.21879
\(320\) −417.673 + 382.541i −1.30523 + 1.19544i
\(321\) 683.092i 2.12801i
\(322\) 190.527 88.4133i 0.591697 0.274575i
\(323\) −4.27974 5.21488i −0.0132500 0.0161451i
\(324\) 84.4859 + 163.779i 0.260759 + 0.505492i
\(325\) 297.601 981.060i 0.915696 3.01864i
\(326\) 221.794 + 106.892i 0.680349 + 0.327890i
\(327\) 565.545 112.494i 1.72950 0.344018i
\(328\) 69.0439 138.061i 0.210500 0.420919i
\(329\) −8.71085 1.73270i −0.0264767 0.00526655i
\(330\) 654.613 92.2157i 1.98368 0.279441i
\(331\) −56.8989 + 5.60405i −0.171900 + 0.0169307i −0.183601 0.983001i \(-0.558775\pi\)
0.0117010 + 0.999932i \(0.496275\pi\)
\(332\) 48.6687 + 122.535i 0.146592 + 0.369082i
\(333\) −655.221 + 198.759i −1.96763 + 0.596875i
\(334\) −240.402 + 175.584i −0.719767 + 0.525701i
\(335\) 387.179 + 934.733i 1.15576 + 2.79025i
\(336\) 122.426 213.760i 0.364363 0.636191i
\(337\) 131.314 + 54.3921i 0.389656 + 0.161401i 0.568906 0.822403i \(-0.307367\pi\)
−0.179249 + 0.983804i \(0.557367\pi\)
\(338\) −94.6961 390.130i −0.280166 1.15423i
\(339\) 12.5458 + 6.70588i 0.0370083 + 0.0197814i
\(340\) 29.6714 5.45217i 0.0872689 0.0160358i
\(341\) −88.2743 + 107.563i −0.258869 + 0.315433i
\(342\) 226.912 133.760i 0.663484 0.391111i
\(343\) −149.933 224.391i −0.437123 0.654201i
\(344\) −32.8558 5.61287i −0.0955111 0.0163165i
\(345\) −859.828 + 1286.82i −2.49226 + 3.72992i
\(346\) 134.835 + 150.971i 0.389696 + 0.436333i
\(347\) 13.7094 7.32782i 0.0395083 0.0211176i −0.451524 0.892259i \(-0.649120\pi\)
0.491033 + 0.871141i \(0.336620\pi\)
\(348\) 120.158 1060.71i 0.345281 3.04801i
\(349\) 335.871 + 33.0805i 0.962383 + 0.0947864i 0.566989 0.823725i \(-0.308108\pi\)
0.395394 + 0.918512i \(0.370608\pi\)
\(350\) 238.648 + 219.498i 0.681852 + 0.627137i
\(351\) −525.803 + 525.803i −1.49801 + 1.49801i
\(352\) 20.1930 235.185i 0.0573665 0.668138i
\(353\) −27.5849 + 27.5849i −0.0781442 + 0.0781442i −0.745099 0.666954i \(-0.767598\pi\)
0.666954 + 0.745099i \(0.267598\pi\)
\(354\) −9.45679 226.244i −0.0267141 0.639106i
\(355\) −310.721 30.6033i −0.875270 0.0862066i
\(356\) 291.608 83.8213i 0.819123 0.235453i
\(357\) −11.5717 + 6.18522i −0.0324138 + 0.0173255i
\(358\) −359.929 20.3215i −1.00539 0.0567640i
\(359\) 232.033 347.262i 0.646331 0.967302i −0.353165 0.935561i \(-0.614895\pi\)
0.999496 0.0317415i \(-0.0101053\pi\)
\(360\) 31.9758 + 1177.47i 0.0888218 + 3.27075i
\(361\) 165.748 + 248.060i 0.459137 + 0.687147i
\(362\) 115.003 + 29.7022i 0.317689 + 0.0820504i
\(363\) 213.886 260.621i 0.589218 0.717964i
\(364\) 228.683 + 48.9751i 0.628249 + 0.134547i
\(365\) 332.220 + 177.575i 0.910191 + 0.486507i
\(366\) 563.910 + 343.624i 1.54074 + 0.938865i
\(367\) 356.531 + 147.680i 0.971473 + 0.402397i 0.811260 0.584685i \(-0.198782\pi\)
0.160213 + 0.987083i \(0.448782\pi\)
\(368\) 379.164 + 402.021i 1.03034 + 1.09245i
\(369\) −122.853 296.593i −0.332934 0.803774i
\(370\) −719.718 112.145i −1.94518 0.303094i
\(371\) 127.332 38.6257i 0.343212 0.104112i
\(372\) −266.171 274.073i −0.715513 0.736754i
\(373\) 67.1344 6.61216i 0.179985 0.0177270i −0.00762310 0.999971i \(-0.502427\pi\)
0.187608 + 0.982244i \(0.439927\pi\)
\(374\) −7.56346 + 10.0438i −0.0202232 + 0.0268551i
\(375\) −1244.50 247.546i −3.31867 0.660124i
\(376\) −2.92083 23.1840i −0.00776815 0.0616595i
\(377\) 993.989 197.717i 2.63658 0.524448i
\(378\) −77.6076 222.003i −0.205311 0.587311i
\(379\) −159.365 + 525.357i −0.420489 + 1.38617i 0.449581 + 0.893240i \(0.351573\pi\)
−0.870070 + 0.492928i \(0.835927\pi\)
\(380\) 279.235 23.3844i 0.734829 0.0615379i
\(381\) 605.963 + 738.368i 1.59045 + 1.93797i
\(382\) 226.256 618.057i 0.592293 1.61795i
\(383\) 541.721i 1.41442i −0.707005 0.707208i \(-0.749954\pi\)
0.707005 0.707208i \(-0.250046\pi\)
\(384\) 635.390 + 127.775i 1.65466 + 0.332747i
\(385\) −198.496 −0.515575
\(386\) −617.143 225.921i −1.59882 0.585288i
\(387\) −53.5853 + 43.9763i −0.138463 + 0.113634i
\(388\) −313.195 + 26.2284i −0.807205 + 0.0675991i
\(389\) −375.905 114.030i −0.966337 0.293135i −0.232603 0.972572i \(-0.574724\pi\)
−0.733734 + 0.679437i \(0.762224\pi\)
\(390\) −1626.69 + 568.654i −4.17099 + 1.45809i
\(391\) −5.74250 28.8695i −0.0146867 0.0738350i
\(392\) 195.011 251.230i 0.497477 0.640894i
\(393\) −61.3515 + 308.435i −0.156111 + 0.784821i
\(394\) −390.076 293.746i −0.990040 0.745547i
\(395\) −32.7083 332.093i −0.0828059 0.840742i
\(396\) −342.014 352.168i −0.863673 0.889312i
\(397\) −94.5163 311.578i −0.238076 0.784832i −0.991818 0.127661i \(-0.959253\pi\)
0.753742 0.657171i \(-0.228247\pi\)
\(398\) 4.55766 29.2500i 0.0114514 0.0734924i
\(399\) −112.596 + 46.6387i −0.282195 + 0.116889i
\(400\) −349.369 + 778.257i −0.873423 + 1.94564i
\(401\) −236.333 + 570.558i −0.589358 + 1.42284i 0.294759 + 0.955572i \(0.404761\pi\)
−0.884117 + 0.467265i \(0.845239\pi\)
\(402\) 602.444 988.649i 1.49862 2.45933i
\(403\) 170.982 319.885i 0.424273 0.793759i
\(404\) −335.468 71.8444i −0.830367 0.177833i
\(405\) 315.172 + 258.655i 0.778203 + 0.638655i
\(406\) −80.1534 + 310.344i −0.197422 + 0.764394i
\(407\) 252.413 168.657i 0.620180 0.414391i
\(408\) −25.0640 23.7387i −0.0614314 0.0581831i
\(409\) 66.3422 + 44.3284i 0.162206 + 0.108382i 0.634024 0.773313i \(-0.281402\pi\)
−0.471818 + 0.881696i \(0.656402\pi\)
\(410\) 19.2514 340.974i 0.0469545 0.831645i
\(411\) −54.0928 101.201i −0.131613 0.246230i
\(412\) 21.7584 6.25433i 0.0528115 0.0151804i
\(413\) −6.66436 + 67.6643i −0.0161365 + 0.163836i
\(414\) 1148.28 47.9970i 2.77362 0.115935i
\(415\) 206.264 + 206.264i 0.497021 + 0.497021i
\(416\) 67.9751 + 611.541i 0.163402 + 1.47005i
\(417\) −10.0473 10.0473i −0.0240942 0.0240942i
\(418\) −79.0578 + 85.9552i −0.189133 + 0.205634i
\(419\) −66.2099 + 672.240i −0.158019 + 1.60439i 0.509951 + 0.860203i \(0.329664\pi\)
−0.667970 + 0.744188i \(0.732836\pi\)
\(420\) 61.3458 541.537i 0.146061 1.28937i
\(421\) −174.080 325.682i −0.413493 0.773591i 0.585828 0.810435i \(-0.300769\pi\)
−0.999321 + 0.0368446i \(0.988269\pi\)
\(422\) 64.6634 57.7518i 0.153231 0.136853i
\(423\) −40.4068 26.9990i −0.0955244 0.0638273i
\(424\) 202.327 + 285.697i 0.477185 + 0.673814i
\(425\) 37.7812 25.2446i 0.0888969 0.0593990i
\(426\) 181.432 + 307.783i 0.425896 + 0.722494i
\(427\) −153.273 125.788i −0.358953 0.294585i
\(428\) −530.750 + 97.5261i −1.24007 + 0.227865i
\(429\) 338.549 633.380i 0.789157 1.47641i
\(430\) −71.6633 + 17.3948i −0.166659 + 0.0404531i
\(431\) 93.5523 225.855i 0.217059 0.524026i −0.777418 0.628984i \(-0.783471\pi\)
0.994477 + 0.104958i \(0.0334709\pi\)
\(432\) 489.577 378.376i 1.13328 0.875869i
\(433\) −204.431 + 84.6782i −0.472127 + 0.195562i −0.606044 0.795431i \(-0.707245\pi\)
0.133917 + 0.990993i \(0.457245\pi\)
\(434\) 67.6602 + 92.6375i 0.155899 + 0.213450i
\(435\) −685.580 2260.05i −1.57605 5.19552i
\(436\) −168.149 423.357i −0.385664 0.971002i
\(437\) −26.7982 272.086i −0.0613230 0.622623i
\(438\) −60.1296 426.843i −0.137282 0.974527i
\(439\) 88.4638 444.737i 0.201512 1.01307i −0.739103 0.673593i \(-0.764750\pi\)
0.940615 0.339476i \(-0.110250\pi\)
\(440\) −165.110 495.456i −0.375250 1.12604i
\(441\) −129.036 648.708i −0.292599 1.47099i
\(442\) 14.2291 29.5243i 0.0321924 0.0667970i
\(443\) −12.5543 3.80829i −0.0283392 0.00859660i 0.276083 0.961134i \(-0.410963\pi\)
−0.304422 + 0.952537i \(0.598463\pi\)
\(444\) 382.122 + 740.758i 0.860634 + 1.66837i
\(445\) 518.911 425.859i 1.16609 0.956986i
\(446\) 326.010 + 702.537i 0.730965 + 1.57520i
\(447\) 234.774 0.525222
\(448\) −183.566 64.6039i −0.409747 0.144205i
\(449\) 102.650i 0.228620i 0.993445 + 0.114310i \(0.0364657\pi\)
−0.993445 + 0.114310i \(0.963534\pi\)
\(450\) 746.798 + 1609.31i 1.65955 + 3.57625i
\(451\) 90.2955 + 110.025i 0.200212 + 0.243959i
\(452\) 3.41916 10.7053i 0.00756450 0.0236842i
\(453\) −338.612 + 1116.25i −0.747488 + 2.46414i
\(454\) 209.494 434.685i 0.461441 0.957457i
\(455\) 507.474 100.943i 1.11533 0.221853i
\(456\) −210.070 242.250i −0.460679 0.531250i
\(457\) 540.684 + 107.549i 1.18312 + 0.235336i 0.747168 0.664636i \(-0.231413\pi\)
0.435948 + 0.899972i \(0.356413\pi\)
\(458\) −24.8351 176.297i −0.0542251 0.384929i
\(459\) −32.7990 + 3.23042i −0.0714575 + 0.00703795i
\(460\) 1122.60 + 484.348i 2.44043 + 1.05293i
\(461\) −250.564 + 76.0078i −0.543523 + 0.164876i −0.550094 0.835102i \(-0.685408\pi\)
0.00657122 + 0.999978i \(0.497908\pi\)
\(462\) 133.969 + 183.424i 0.289976 + 0.397023i
\(463\) −5.25187 12.6791i −0.0113431 0.0273848i 0.918106 0.396334i \(-0.129718\pi\)
−0.929450 + 0.368949i \(0.879718\pi\)
\(464\) −841.305 + 58.0786i −1.81316 + 0.125169i
\(465\) −780.918 323.467i −1.67939 0.695627i
\(466\) 744.040 180.600i 1.59665 0.387555i
\(467\) −709.162 379.055i −1.51855 0.811681i −0.519465 0.854492i \(-0.673869\pi\)
−0.999083 + 0.0428104i \(0.986369\pi\)
\(468\) 1053.48 + 726.422i 2.25103 + 1.55218i
\(469\) −220.532 + 268.719i −0.470217 + 0.572961i
\(470\) −26.2533 44.5363i −0.0558580 0.0947580i
\(471\) 189.980 + 284.326i 0.403355 + 0.603664i
\(472\) −174.437 + 39.6489i −0.369570 + 0.0840019i
\(473\) 17.0750 25.5546i 0.0360995 0.0540266i
\(474\) −284.802 + 254.361i −0.600848 + 0.536626i
\(475\) 372.218 198.954i 0.783616 0.418851i
\(476\) 6.45791 + 8.10794i 0.0135670 + 0.0170335i
\(477\) 724.565 + 71.3634i 1.51900 + 0.149609i
\(478\) 330.789 359.648i 0.692026 0.752402i
\(479\) 83.3076 83.3076i 0.173920 0.173920i −0.614779 0.788699i \(-0.710755\pi\)
0.788699 + 0.614779i \(0.210755\pi\)
\(480\) 1402.73 297.331i 2.92236 0.619439i
\(481\) −559.550 + 559.550i −1.16331 + 1.16331i
\(482\) −609.717 + 25.4856i −1.26497 + 0.0528748i
\(483\) −529.196 52.1213i −1.09564 0.107912i
\(484\) −233.034 128.976i −0.481476 0.266480i
\(485\) −613.242 + 327.785i −1.26442 + 0.675845i
\(486\) −12.9392 + 229.176i −0.0266240 + 0.471556i
\(487\) −40.1604 + 60.1042i −0.0824648 + 0.123417i −0.870409 0.492329i \(-0.836146\pi\)
0.787944 + 0.615747i \(0.211146\pi\)
\(488\) 186.479 487.207i 0.382130 0.998375i
\(489\) −346.298 518.272i −0.708176 1.05986i
\(490\) 175.954 681.273i 0.359090 1.39035i
\(491\) 172.577 210.285i 0.351480 0.428280i −0.567018 0.823705i \(-0.691903\pi\)
0.918498 + 0.395426i \(0.129403\pi\)
\(492\) −328.077 + 212.341i −0.666824 + 0.431587i
\(493\) 39.6147 + 21.1745i 0.0803543 + 0.0429503i
\(494\) 158.407 259.956i 0.320662 0.526228i
\(495\) −1003.43 415.636i −2.02714 0.839669i
\(496\) −174.948 + 245.939i −0.352717 + 0.495846i
\(497\) −41.0532 99.1111i −0.0826020 0.199419i
\(498\) 51.3908 329.813i 0.103194 0.662276i
\(499\) 281.953 85.5296i 0.565037 0.171402i 0.00517299 0.999987i \(-0.498353\pi\)
0.559864 + 0.828585i \(0.310853\pi\)
\(500\) −14.6597 + 1002.30i −0.0293194 + 2.00459i
\(501\) 750.042 73.8727i 1.49709 0.147451i
\(502\) −315.036 237.237i −0.627561 0.472583i
\(503\) 214.260 + 42.6189i 0.425964 + 0.0847295i 0.403417 0.915016i \(-0.367822\pi\)
0.0225469 + 0.999746i \(0.492822\pi\)
\(504\) −351.617 + 200.401i −0.697653 + 0.397621i
\(505\) −744.445 + 148.079i −1.47415 + 0.293226i
\(506\) −481.008 + 168.150i −0.950609 + 0.332312i
\(507\) −295.035 + 972.599i −0.581922 + 1.91834i
\(508\) 487.183 576.239i 0.959022 1.13433i
\(509\) 190.890 + 232.600i 0.375030 + 0.456975i 0.925985 0.377560i \(-0.123237\pi\)
−0.550956 + 0.834535i \(0.685737\pi\)
\(510\) −71.7215 26.2555i −0.140630 0.0514814i
\(511\) 129.430i 0.253288i
\(512\) 8.56311 511.928i 0.0167248 0.999860i
\(513\) −306.122 −0.596729
\(514\) −189.578 + 517.864i −0.368829 + 1.00752i
\(515\) 38.7186 31.7755i 0.0751817 0.0617000i
\(516\) 64.4410 + 54.4818i 0.124886 + 0.105585i
\(517\) 20.6184 + 6.25453i 0.0398809 + 0.0120977i
\(518\) −82.5886 236.252i −0.159437 0.456085i
\(519\) −99.9751 502.609i −0.192630 0.968418i
\(520\) 674.078 + 1182.72i 1.29630 + 2.27445i
\(521\) 148.851 748.324i 0.285702 1.43632i −0.525119 0.851029i \(-0.675979\pi\)
0.810821 0.585294i \(-0.199021\pi\)
\(522\) −1055.03 + 1401.01i −2.02112 + 2.68393i
\(523\) 41.7793 + 424.192i 0.0798839 + 0.811075i 0.948750 + 0.316028i \(0.102349\pi\)
−0.868866 + 0.495047i \(0.835151\pi\)
\(524\) 248.407 + 3.63324i 0.474059 + 0.00693366i
\(525\) −238.287 785.528i −0.453881 1.49624i
\(526\) −155.348 24.2060i −0.295339 0.0460190i
\(527\) 14.8524 6.15208i 0.0281830 0.0116738i
\(528\) −346.400 + 486.966i −0.656061 + 0.922284i
\(529\) 254.070 613.378i 0.480283 1.15950i
\(530\) 661.412 + 403.038i 1.24795 + 0.760450i
\(531\) −175.374 + 328.101i −0.330270 + 0.617893i
\(532\) 52.3128 + 80.8260i 0.0983323 + 0.151929i
\(533\) −286.801 235.372i −0.538089 0.441598i
\(534\) −743.746 192.089i −1.39278 0.359718i
\(535\) −992.696 + 663.298i −1.85551 + 1.23981i
\(536\) −854.174 326.936i −1.59361 0.609956i
\(537\) 758.862 + 507.055i 1.41315 + 0.944237i
\(538\) 731.656 + 41.3092i 1.35996 + 0.0767829i
\(539\) 138.237 + 258.623i 0.256470 + 0.479821i
\(540\) 662.903 1197.73i 1.22760 2.21803i
\(541\) 39.8328 404.430i 0.0736282 0.747559i −0.885510 0.464621i \(-0.846191\pi\)
0.959138 0.282939i \(-0.0913093\pi\)
\(542\) 21.3743 + 511.357i 0.0394360 + 0.943463i
\(543\) −212.631 212.631i −0.391585 0.391585i
\(544\) −14.8661 + 22.8635i −0.0273274 + 0.0420284i
\(545\) −712.638 712.638i −1.30759 1.30759i
\(546\) −435.783 400.814i −0.798137 0.734091i
\(547\) −103.390 + 1049.73i −0.189012 + 1.91907i 0.169473 + 0.985535i \(0.445793\pi\)
−0.358485 + 0.933535i \(0.616707\pi\)
\(548\) −70.9080 + 56.4776i −0.129394 + 0.103061i
\(549\) −511.432 956.822i −0.931570 1.74285i
\(550\) −523.971 586.677i −0.952674 1.06669i
\(551\) 346.905 + 231.795i 0.629592 + 0.420680i
\(552\) −310.090 1364.25i −0.561758 2.47147i
\(553\) 95.3329 63.6994i 0.172392 0.115189i
\(554\) −530.628 + 312.795i −0.957812 + 0.564611i
\(555\) 1425.49 + 1169.87i 2.56846 + 2.10788i
\(556\) −6.37209 + 9.24103i −0.0114606 + 0.0166206i
\(557\) −273.928 + 512.483i −0.491792 + 0.920078i 0.506533 + 0.862221i \(0.330927\pi\)
−0.998325 + 0.0578572i \(0.981573\pi\)
\(558\) 148.059 + 609.975i 0.265339 + 1.09315i
\(559\) −30.6585 + 74.0161i −0.0548452 + 0.132408i
\(560\) −429.523 + 29.6516i −0.767005 + 0.0529493i
\(561\) 29.4082 12.1813i 0.0524210 0.0217135i
\(562\) 144.456 105.507i 0.257040 0.187736i
\(563\) 56.5899 + 186.552i 0.100515 + 0.331353i 0.992747 0.120224i \(-0.0383614\pi\)
−0.892232 + 0.451578i \(0.850861\pi\)
\(564\) −23.4358 + 54.3182i −0.0415528 + 0.0963089i
\(565\) −2.43703 24.7436i −0.00431333 0.0437940i
\(566\) 573.961 80.8542i 1.01407 0.142852i
\(567\) −27.3299 + 137.397i −0.0482009 + 0.242323i
\(568\) 213.238 184.912i 0.375419 0.325549i
\(569\) −140.162 704.643i −0.246331 1.23839i −0.883783 0.467898i \(-0.845012\pi\)
0.637452 0.770490i \(-0.279988\pi\)
\(570\) −639.062 307.992i −1.12116 0.540337i
\(571\) 602.720 + 182.833i 1.05555 + 0.320198i 0.769919 0.638141i \(-0.220296\pi\)
0.285632 + 0.958339i \(0.407796\pi\)
\(572\) −540.459 172.617i −0.944859 0.301778i
\(573\) −1288.05 + 1057.07i −2.24790 + 1.84480i
\(574\) 106.440 49.3931i 0.185435 0.0860507i
\(575\) 1841.51 3.20262
\(576\) −792.686 710.959i −1.37619 1.23430i
\(577\) 844.999i 1.46447i 0.681053 + 0.732234i \(0.261522\pi\)
−0.681053 + 0.732234i \(0.738478\pi\)
\(578\) −522.981 + 242.688i −0.904812 + 0.419875i
\(579\) 1055.51 + 1286.14i 1.82299 + 2.22131i
\(580\) −1658.14 + 855.354i −2.85886 + 1.47475i
\(581\) −29.0939 + 95.9098i −0.0500756 + 0.165077i
\(582\) 716.785 + 345.450i 1.23159 + 0.593557i
\(583\) −316.599 + 62.9755i −0.543052 + 0.108020i
\(584\) −323.064 + 107.661i −0.553192 + 0.184350i
\(585\) 2776.74 + 552.329i 4.74657 + 0.944151i
\(586\) −591.792 + 83.3660i −1.00988 + 0.142263i
\(587\) 389.942 38.4059i 0.664296 0.0654275i 0.239751 0.970834i \(-0.422934\pi\)
0.424545 + 0.905407i \(0.360434\pi\)
\(588\) −748.299 + 297.210i −1.27262 + 0.505460i
\(589\) 142.891 43.3455i 0.242599 0.0735918i
\(590\) −319.603 + 233.431i −0.541700 + 0.395645i
\(591\) 473.089 + 1142.14i 0.800489 + 1.93255i
\(592\) 520.999 402.660i 0.880066 0.680170i
\(593\) −292.298 121.074i −0.492913 0.204171i 0.122359 0.992486i \(-0.460954\pi\)
−0.615272 + 0.788315i \(0.710954\pi\)
\(594\) 134.577 + 554.433i 0.226561 + 0.933389i
\(595\) 20.2250 + 10.8105i 0.0339916 + 0.0181689i
\(596\) −33.5191 182.415i −0.0562400 0.306065i
\(597\) −47.5447 + 57.9333i −0.0796393 + 0.0970408i
\(598\) 1144.23 674.503i 1.91343 1.12793i
\(599\) 189.146 + 283.077i 0.315769 + 0.472582i 0.955072 0.296373i \(-0.0957771\pi\)
−0.639303 + 0.768955i \(0.720777\pi\)
\(600\) 1762.51 1248.18i 2.93751 2.08030i
\(601\) −19.5120 + 29.2018i −0.0324659 + 0.0485887i −0.847348 0.531039i \(-0.821802\pi\)
0.814882 + 0.579627i \(0.196802\pi\)
\(602\) −16.8781 18.8980i −0.0280367 0.0313920i
\(603\) −1677.50 + 896.645i −2.78193 + 1.48697i
\(604\) 915.652 + 103.726i 1.51598 + 0.171731i
\(605\) −586.433 57.7586i −0.969310 0.0954687i
\(606\) 639.276 + 587.978i 1.05491 + 0.970260i
\(607\) −559.239 + 559.239i −0.921316 + 0.921316i −0.997123 0.0758068i \(-0.975847\pi\)
0.0758068 + 0.997123i \(0.475847\pi\)
\(608\) −158.232 + 197.807i −0.260249 + 0.325340i
\(609\) 573.798 573.798i 0.942197 0.942197i
\(610\) −48.2012 1153.16i −0.0790184 1.89043i
\(611\) −55.8937 5.50505i −0.0914790 0.00900989i
\(612\) 15.6685 + 54.5095i 0.0256021 + 0.0890678i
\(613\) 804.204 429.856i 1.31191 0.701233i 0.340866 0.940112i \(-0.389280\pi\)
0.971049 + 0.238879i \(0.0767799\pi\)
\(614\) −1096.04 61.8823i −1.78508 0.100785i
\(615\) −480.353 + 718.899i −0.781062 + 1.16894i
\(616\) 123.390 130.279i 0.200309 0.211492i
\(617\) −196.326 293.822i −0.318194 0.476211i 0.637550 0.770409i \(-0.279948\pi\)
−0.955745 + 0.294197i \(0.904948\pi\)
\(618\) −55.4947 14.3328i −0.0897973 0.0231922i
\(619\) 451.133 549.707i 0.728810 0.888057i −0.268354 0.963320i \(-0.586480\pi\)
0.997164 + 0.0752631i \(0.0239797\pi\)
\(620\) −139.835 + 652.940i −0.225540 + 1.05313i
\(621\) −1177.96 629.633i −1.89688 1.01390i
\(622\) −714.049 435.113i −1.14799 0.699539i
\(623\) 213.090 + 88.2647i 0.342038 + 0.141677i
\(624\) 637.964 1421.13i 1.02238 2.27746i
\(625\) 338.601 + 817.456i 0.541762 + 1.30793i
\(626\) 700.820 + 109.200i 1.11952 + 0.174441i
\(627\) 282.928 85.8252i 0.451241 0.136882i
\(628\) 193.792 188.205i 0.308586 0.299689i
\(629\) −34.9041 + 3.43775i −0.0554914 + 0.00546543i
\(630\) −538.637 + 715.276i −0.854979 + 1.13536i
\(631\) −744.299 148.050i −1.17956 0.234628i −0.433901 0.900961i \(-0.642863\pi\)
−0.745655 + 0.666333i \(0.767863\pi\)
\(632\) 238.295 + 184.970i 0.377049 + 0.292674i
\(633\) −215.275 + 42.8209i −0.340087 + 0.0676476i
\(634\) −19.4080 55.5184i −0.0306120 0.0875684i
\(635\) 484.620 1597.58i 0.763182 2.51587i
\(636\) −73.9640 883.209i −0.116296 1.38869i
\(637\) −484.936 590.897i −0.761281 0.927624i
\(638\) 267.308 730.199i 0.418979 1.14451i
\(639\) 586.987i 0.918603i
\(640\) −431.290 1047.44i −0.673891 1.63663i
\(641\) 705.138 1.10006 0.550029 0.835145i \(-0.314617\pi\)
0.550029 + 0.835145i \(0.314617\pi\)
\(642\) 1282.92 + 469.648i 1.99832 + 0.731538i
\(643\) 382.032 313.526i 0.594140 0.487598i −0.288606 0.957448i \(-0.593192\pi\)
0.882746 + 0.469850i \(0.155692\pi\)
\(644\) 35.0569 + 418.617i 0.0544362 + 0.650026i
\(645\) 178.658 + 54.1952i 0.276989 + 0.0840236i
\(646\) 12.7366 4.45243i 0.0197161 0.00689230i
\(647\) −214.804 1079.89i −0.332000 1.66908i −0.681252 0.732049i \(-0.738564\pi\)
0.349252 0.937029i \(-0.386436\pi\)
\(648\) −365.682 + 46.0704i −0.564325 + 0.0710963i
\(649\) 32.1793 161.776i 0.0495829 0.249270i
\(650\) 1637.93 + 1233.44i 2.51989 + 1.89760i
\(651\) −28.4664 289.024i −0.0437272 0.443969i
\(652\) −353.246 + 343.061i −0.541788 + 0.526168i
\(653\) 166.882 + 550.138i 0.255563 + 0.842478i 0.987021 + 0.160591i \(0.0513401\pi\)
−0.731458 + 0.681886i \(0.761160\pi\)
\(654\) −177.554 + 1139.50i −0.271490 + 1.74235i
\(655\) 507.802 210.339i 0.775271 0.321128i
\(656\) 211.825 + 224.594i 0.322904 + 0.342368i
\(657\) −271.017 + 654.294i −0.412507 + 0.995881i
\(658\) 9.24318 15.1687i 0.0140474 0.0230527i
\(659\) 327.529 612.763i 0.497009 0.929838i −0.500919 0.865494i \(-0.667005\pi\)
0.997928 0.0643435i \(-0.0204953\pi\)
\(660\) −276.876 + 1292.84i −0.419509 + 1.95884i
\(661\) 114.511 + 93.9769i 0.173239 + 0.142174i 0.717018 0.697055i \(-0.245507\pi\)
−0.543778 + 0.839229i \(0.683007\pi\)
\(662\) 28.5947 110.715i 0.0431945 0.167244i
\(663\) −68.9902 + 46.0978i −0.104058 + 0.0695291i
\(664\) −263.596 + 7.15831i −0.396982 + 0.0107806i
\(665\) 177.110 + 118.341i 0.266331 + 0.177957i
\(666\) 77.1937 1367.23i 0.115906 2.05290i
\(667\) 858.139 + 1605.46i 1.28656 + 2.40699i
\(668\) −164.482 572.222i −0.246231 0.856619i
\(669\) 192.189 1951.33i 0.287278 2.91679i
\(670\) −2021.73 + 84.5066i −3.01751 + 0.126129i
\(671\) 340.133 + 340.133i 0.506905 + 0.506905i
\(672\) 317.293 + 376.897i 0.472163 + 0.560858i
\(673\) 329.441 + 329.441i 0.489511 + 0.489511i 0.908152 0.418641i \(-0.137493\pi\)
−0.418641 + 0.908152i \(0.637493\pi\)
\(674\) −192.437 + 209.226i −0.285515 + 0.310425i
\(675\) 202.100 2051.96i 0.299408 3.03994i
\(676\) 797.813 + 90.3769i 1.18020 + 0.133694i
\(677\) 25.0872 + 46.9349i 0.0370564 + 0.0693277i 0.899768 0.436369i \(-0.143736\pi\)
−0.862712 + 0.505696i \(0.831236\pi\)
\(678\) −21.2200 + 18.9519i −0.0312980 + 0.0279527i
\(679\) −198.650 132.734i −0.292563 0.195484i
\(680\) −10.1603 + 59.4748i −0.0149416 + 0.0874629i
\(681\) −1015.74 + 678.697i −1.49154 + 0.996618i
\(682\) −141.323 239.742i −0.207219 0.351527i
\(683\) −299.402 245.713i −0.438363 0.359755i 0.389176 0.921163i \(-0.372760\pi\)
−0.827539 + 0.561408i \(0.810260\pi\)
\(684\) 95.2071 + 518.130i 0.139192 + 0.757499i
\(685\) −94.5431 + 176.878i −0.138019 + 0.258216i
\(686\) 524.515 127.315i 0.764599 0.185591i
\(687\) −172.489 + 416.425i −0.251076 + 0.606150i
\(688\) 33.1310 57.8479i 0.0481555 0.0840812i
\(689\) 777.391 322.006i 1.12829 0.467353i
\(690\) −1825.64 2499.58i −2.64585 3.62259i
\(691\) −242.668 799.969i −0.351184 1.15770i −0.937608 0.347694i \(-0.886965\pi\)
0.586425 0.810004i \(-0.300535\pi\)
\(692\) −376.244 + 149.437i −0.543705 + 0.215949i
\(693\) −36.5777 371.379i −0.0527817 0.535901i
\(694\) 4.33682 + 30.7859i 0.00624902 + 0.0443600i
\(695\) −4.84496 + 24.3573i −0.00697117 + 0.0350464i
\(696\) 1909.52 + 954.940i 2.74356 + 1.37204i
\(697\) −3.20812 16.1283i −0.00460275 0.0231396i
\(698\) −293.051 + 608.060i −0.419844 + 0.871146i
\(699\) −1854.90 562.678i −2.65365 0.804976i
\(700\) −576.320 + 297.296i −0.823314 + 0.424708i
\(701\) 570.073 467.847i 0.813228 0.667399i −0.132922 0.991126i \(-0.542436\pi\)
0.946150 + 0.323727i \(0.104936\pi\)
\(702\) −626.010 1349.02i −0.891752 1.92168i
\(703\) −325.770 −0.463399
\(704\) 427.819 + 199.622i 0.607698 + 0.283553i
\(705\) 130.884i 0.185650i
\(706\) −32.8420 70.7730i −0.0465184 0.100245i
\(707\) −165.446 201.597i −0.234012 0.285144i
\(708\) 431.412 + 137.789i 0.609340 + 0.194617i
\(709\) 50.1466 165.311i 0.0707287 0.233161i −0.914448 0.404703i \(-0.867375\pi\)
0.985177 + 0.171542i \(0.0548749\pi\)
\(710\) 271.107 562.527i 0.381841 0.792292i
\(711\) 615.307 122.392i 0.865411 0.172141i
\(712\) −43.0640 + 605.302i −0.0604832 + 0.850143i
\(713\) 639.000 + 127.105i 0.896213 + 0.178268i
\(714\) −3.66059 25.9855i −0.00512688 0.0363943i
\(715\) −1249.19 + 123.034i −1.74712 + 0.172076i
\(716\) 285.628 662.014i 0.398922 0.924601i
\(717\) −1183.81 + 359.105i −1.65106 + 0.500843i
\(718\) 492.666 + 674.537i 0.686164 + 0.939466i
\(719\) 117.919 + 284.682i 0.164004 + 0.395941i 0.984422 0.175824i \(-0.0562589\pi\)
−0.820417 + 0.571765i \(0.806259\pi\)
\(720\) −2233.40 749.494i −3.10195 1.04096i
\(721\) 15.8997 + 6.58588i 0.0220523 + 0.00913437i
\(722\) −579.841 + 140.745i −0.803104 + 0.194937i
\(723\) 1362.53 + 728.287i 1.88455 + 1.00731i
\(724\) −134.853 + 195.568i −0.186260 + 0.270121i
\(725\) −1782.76 + 2172.30i −2.45898 + 2.99628i
\(726\) 342.422 + 580.887i 0.471655 + 0.800120i
\(727\) −454.480 680.177i −0.625144 0.935594i −0.999964 0.00849671i \(-0.997295\pi\)
0.374820 0.927098i \(-0.377705\pi\)
\(728\) −249.207 + 395.820i −0.342318 + 0.543708i
\(729\) 553.220 827.952i 0.758875 1.13574i
\(730\) −561.917 + 501.857i −0.769750 + 0.687475i
\(731\) −3.13155 + 1.67385i −0.00428392 + 0.00228980i
\(732\) −1033.07 + 822.833i −1.41130 + 1.12409i
\(733\) −17.4487 1.71855i −0.0238045 0.00234454i 0.0861079 0.996286i \(-0.472557\pi\)
−0.109912 + 0.993941i \(0.535057\pi\)
\(734\) −522.485 + 568.069i −0.711833 + 0.773936i
\(735\) −1259.61 + 1259.61i −1.71376 + 1.71376i
\(736\) −1015.73 + 435.711i −1.38006 + 0.591998i
\(737\) 596.323 596.323i 0.809123 0.809123i
\(738\) 641.499 26.8141i 0.869240 0.0363335i
\(739\) 242.724 + 23.9062i 0.328449 + 0.0323495i 0.260898 0.965366i \(-0.415981\pi\)
0.0675514 + 0.997716i \(0.478481\pi\)
\(740\) 705.449 1274.61i 0.953309 1.72244i
\(741\) −679.686 + 363.300i −0.917256 + 0.490283i
\(742\) −15.0013 + 265.699i −0.0202174 + 0.358086i
\(743\) −241.093 + 360.821i −0.324486 + 0.485627i −0.957468 0.288539i \(-0.906830\pi\)
0.632983 + 0.774166i \(0.281830\pi\)
\(744\) 697.739 311.465i 0.937822 0.418635i
\(745\) −227.971 341.183i −0.306001 0.457963i
\(746\) −33.7387 + 130.632i −0.0452261 + 0.175110i
\(747\) −347.903 + 423.921i −0.465734 + 0.567498i
\(748\) −13.6633 21.1105i −0.0182664 0.0282225i
\(749\) −361.776 193.373i −0.483012 0.258175i
\(750\) 1320.55 2167.11i 1.76074 2.88948i
\(751\) −1306.63 541.224i −1.73985 0.720671i −0.998787 0.0492399i \(-0.984320\pi\)
−0.741067 0.671431i \(-0.765680\pi\)
\(752\) 45.5502 + 10.4541i 0.0605721 + 0.0139017i
\(753\) 382.080 + 922.422i 0.507410 + 1.22500i
\(754\) −312.