Properties

Label 483.2.bf.a.10.6
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.6
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.643746 + 1.85998i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-1.47302 - 1.15839i) q^{4} +(2.63722 - 0.251824i) q^{5} +(1.94820 - 0.280109i) q^{6} +(-0.893381 - 2.49036i) q^{7} +(-0.208726 + 0.134140i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.643746 + 1.85998i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-1.47302 - 1.15839i) q^{4} +(2.63722 - 0.251824i) q^{5} +(1.94820 - 0.280109i) q^{6} +(-0.893381 - 2.49036i) q^{7} +(-0.208726 + 0.134140i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-1.22931 + 5.06730i) q^{10} +(0.479300 - 0.165887i) q^{11} +(-0.354646 + 1.84008i) q^{12} +(-0.303180 - 1.03254i) q^{13} +(5.20713 - 0.0585157i) q^{14} +(-1.43228 - 2.22866i) q^{15} +(-0.998728 - 4.11681i) q^{16} +(4.52847 + 1.81293i) q^{17} +(-1.14169 - 1.60328i) q^{18} +(6.47139 - 2.59075i) q^{19} +(-4.17639 - 2.68400i) q^{20} +(-1.80415 + 1.93522i) q^{21} +0.998278i q^{22} +(3.71218 - 3.03640i) q^{23} +(0.214873 + 0.124057i) q^{24} +(1.98188 - 0.381977i) q^{25} +(2.11567 + 0.100782i) q^{26} +(0.989821 + 0.142315i) q^{27} +(-1.56885 + 4.70322i) q^{28} +(-1.13793 - 7.91448i) q^{29} +(5.06730 - 1.22931i) q^{30} +(-4.86736 + 0.231861i) q^{31} +(7.80615 + 0.745397i) q^{32} +(-0.367074 - 0.350005i) q^{33} +(-6.28720 + 7.25581i) q^{34} +(-2.98318 - 6.34265i) q^{35} +(1.79803 - 0.527950i) q^{36} +(7.84350 + 5.58533i) q^{37} +(0.652824 + 13.7045i) q^{38} +(-0.778831 + 0.742614i) q^{39} +(-0.516678 + 0.406320i) q^{40} +(8.01544 + 3.66053i) q^{41} +(-2.43805 - 4.60146i) q^{42} +(-6.39782 + 9.95520i) q^{43} +(-0.898180 - 0.310863i) q^{44} +(-1.32461 + 2.29429i) q^{45} +(3.25796 + 8.85925i) q^{46} +(3.75135 - 2.16584i) q^{47} +(-3.20153 + 2.77414i) q^{48} +(-5.40374 + 4.44967i) q^{49} +(-0.565360 + 3.93216i) q^{50} +(-0.463672 - 4.85580i) q^{51} +(-0.749495 + 1.87215i) q^{52} +(3.84370 + 4.03116i) q^{53} +(-0.901897 + 1.74944i) q^{54} +(1.22225 - 0.558181i) q^{55} +(0.520529 + 0.399965i) q^{56} +(-5.26812 - 4.56485i) q^{57} +(15.4533 + 2.97838i) q^{58} +(-4.26180 - 1.03390i) q^{59} +(-0.471904 + 4.94200i) q^{60} +(-9.66389 - 4.98208i) q^{61} +(2.70209 - 9.20247i) q^{62} +(2.54680 + 0.716821i) q^{63} +(-2.89202 + 6.33263i) q^{64} +(-1.05957 - 2.64668i) q^{65} +(0.887305 - 0.457438i) q^{66} +(-1.74414 - 9.04948i) q^{67} +(-4.57043 - 7.91622i) q^{68} +(-4.39988 - 1.90815i) q^{69} +(13.7176 - 1.46560i) q^{70} +(-5.93225 - 6.84618i) q^{71} +(0.0118057 - 0.247833i) q^{72} +(-5.40925 + 6.87843i) q^{73} +(-15.4378 + 10.9932i) q^{74} +(-1.24767 - 1.58654i) q^{75} +(-12.5336 - 3.68019i) q^{76} +(-0.841316 - 1.04543i) q^{77} +(-0.879879 - 1.92667i) q^{78} +(10.8820 - 11.4127i) q^{79} +(-3.67058 - 10.6055i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-11.9684 + 12.5521i) q^{82} +(1.83612 + 4.02054i) q^{83} +(4.89928 - 0.760695i) q^{84} +(12.3991 + 3.64071i) q^{85} +(-14.3979 - 18.3085i) q^{86} +(-6.51324 + 4.63806i) q^{87} +(-0.0777904 + 0.0989185i) q^{88} +(-0.537006 + 11.2732i) q^{89} +(-3.41463 - 3.94069i) q^{90} +(-2.30053 + 1.67748i) q^{91} +(-8.98545 + 0.172513i) q^{92} +(2.43644 + 4.22004i) q^{93} +(1.61351 + 8.37170i) q^{94} +(16.4141 - 8.46205i) q^{95} +(-2.91445 - 7.27994i) q^{96} +(0.334288 - 0.731988i) q^{97} +(-4.79767 - 12.9153i) q^{98} +(-0.142893 + 0.486650i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.643746 + 1.85998i −0.455197 + 1.31521i 0.451066 + 0.892491i \(0.351044\pi\)
−0.906263 + 0.422715i \(0.861077\pi\)
\(3\) −0.458227 0.888835i −0.264557 0.513169i
\(4\) −1.47302 1.15839i −0.736509 0.579197i
\(5\) 2.63722 0.251824i 1.17940 0.112619i 0.513118 0.858318i \(-0.328490\pi\)
0.666283 + 0.745699i \(0.267884\pi\)
\(6\) 1.94820 0.280109i 0.795349 0.114354i
\(7\) −0.893381 2.49036i −0.337666 0.941266i
\(8\) −0.208726 + 0.134140i −0.0737959 + 0.0474258i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) −1.22931 + 5.06730i −0.388743 + 1.60242i
\(11\) 0.479300 0.165887i 0.144514 0.0500169i −0.253853 0.967243i \(-0.581698\pi\)
0.398368 + 0.917226i \(0.369577\pi\)
\(12\) −0.354646 + 1.84008i −0.102377 + 0.531184i
\(13\) −0.303180 1.03254i −0.0840871 0.286374i 0.906705 0.421765i \(-0.138589\pi\)
−0.990792 + 0.135391i \(0.956771\pi\)
\(14\) 5.20713 0.0585157i 1.39166 0.0156390i
\(15\) −1.43228 2.22866i −0.369812 0.575439i
\(16\) −0.998728 4.11681i −0.249682 1.02920i
\(17\) 4.52847 + 1.81293i 1.09832 + 0.439699i 0.848823 0.528677i \(-0.177312\pi\)
0.249493 + 0.968377i \(0.419736\pi\)
\(18\) −1.14169 1.60328i −0.269098 0.377896i
\(19\) 6.47139 2.59075i 1.48464 0.594360i 0.519122 0.854700i \(-0.326259\pi\)
0.965517 + 0.260340i \(0.0838348\pi\)
\(20\) −4.17639 2.68400i −0.933868 0.600161i
\(21\) −1.80415 + 1.93522i −0.393697 + 0.422299i
\(22\) 0.998278i 0.212834i
\(23\) 3.71218 3.03640i 0.774042 0.633134i
\(24\) 0.214873 + 0.124057i 0.0438607 + 0.0253230i
\(25\) 1.98188 0.381977i 0.396377 0.0763954i
\(26\) 2.11567 + 0.100782i 0.414918 + 0.0197650i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) −1.56885 + 4.70322i −0.296484 + 0.888826i
\(29\) −1.13793 7.91448i −0.211308 1.46968i −0.768795 0.639496i \(-0.779143\pi\)
0.557486 0.830186i \(-0.311766\pi\)
\(30\) 5.06730 1.22931i 0.925158 0.224441i
\(31\) −4.86736 + 0.231861i −0.874204 + 0.0416435i −0.479886 0.877331i \(-0.659322\pi\)
−0.394318 + 0.918974i \(0.629019\pi\)
\(32\) 7.80615 + 0.745397i 1.37994 + 0.131769i
\(33\) −0.367074 0.350005i −0.0638995 0.0609280i
\(34\) −6.28720 + 7.25581i −1.07825 + 1.24436i
\(35\) −2.98318 6.34265i −0.504249 1.07210i
\(36\) 1.79803 0.527950i 0.299672 0.0879917i
\(37\) 7.84350 + 5.58533i 1.28946 + 0.918223i 0.999249 0.0387391i \(-0.0123341\pi\)
0.290214 + 0.956962i \(0.406274\pi\)
\(38\) 0.652824 + 13.7045i 0.105902 + 2.22316i
\(39\) −0.778831 + 0.742614i −0.124713 + 0.118913i
\(40\) −0.516678 + 0.406320i −0.0816940 + 0.0642449i
\(41\) 8.01544 + 3.66053i 1.25180 + 0.571679i 0.927340 0.374220i \(-0.122090\pi\)
0.324462 + 0.945899i \(0.394817\pi\)
\(42\) −2.43805 4.60146i −0.376200 0.710021i
\(43\) −6.39782 + 9.95520i −0.975658 + 1.51815i −0.125187 + 0.992133i \(0.539953\pi\)
−0.850472 + 0.526021i \(0.823683\pi\)
\(44\) −0.898180 0.310863i −0.135406 0.0468644i
\(45\) −1.32461 + 2.29429i −0.197461 + 0.342013i
\(46\) 3.25796 + 8.85925i 0.480360 + 1.30623i
\(47\) 3.75135 2.16584i 0.547191 0.315921i −0.200797 0.979633i \(-0.564353\pi\)
0.747988 + 0.663712i \(0.231020\pi\)
\(48\) −3.20153 + 2.77414i −0.462101 + 0.400412i
\(49\) −5.40374 + 4.44967i −0.771963 + 0.635667i
\(50\) −0.565360 + 3.93216i −0.0799540 + 0.556092i
\(51\) −0.463672 4.85580i −0.0649271 0.679948i
\(52\) −0.749495 + 1.87215i −0.103936 + 0.259620i
\(53\) 3.84370 + 4.03116i 0.527973 + 0.553722i 0.932671 0.360728i \(-0.117472\pi\)
−0.404698 + 0.914450i \(0.632623\pi\)
\(54\) −0.901897 + 1.74944i −0.122733 + 0.238068i
\(55\) 1.22225 0.558181i 0.164808 0.0752651i
\(56\) 0.520529 + 0.399965i 0.0695586 + 0.0534475i
\(57\) −5.26812 4.56485i −0.697779 0.604629i
\(58\) 15.4533 + 2.97838i 2.02912 + 0.391081i
\(59\) −4.26180 1.03390i −0.554839 0.134603i −0.0514709 0.998674i \(-0.516391\pi\)
−0.503368 + 0.864072i \(0.667906\pi\)
\(60\) −0.471904 + 4.94200i −0.0609225 + 0.638009i
\(61\) −9.66389 4.98208i −1.23733 0.637890i −0.289660 0.957130i \(-0.593542\pi\)
−0.947674 + 0.319240i \(0.896573\pi\)
\(62\) 2.70209 9.20247i 0.343166 1.16871i
\(63\) 2.54680 + 0.716821i 0.320866 + 0.0903110i
\(64\) −2.89202 + 6.33263i −0.361502 + 0.791579i
\(65\) −1.05957 2.64668i −0.131424 0.328281i
\(66\) 0.887305 0.457438i 0.109220 0.0563067i
\(67\) −1.74414 9.04948i −0.213081 1.10557i −0.918090 0.396372i \(-0.870269\pi\)
0.705009 0.709199i \(-0.250943\pi\)
\(68\) −4.57043 7.91622i −0.554246 0.959983i
\(69\) −4.39988 1.90815i −0.529683 0.229715i
\(70\) 13.7176 1.46560i 1.63957 0.175173i
\(71\) −5.93225 6.84618i −0.704029 0.812492i 0.285262 0.958450i \(-0.407919\pi\)
−0.989291 + 0.145957i \(0.953374\pi\)
\(72\) 0.0118057 0.247833i 0.00139132 0.0292073i
\(73\) −5.40925 + 6.87843i −0.633105 + 0.805059i −0.991719 0.128427i \(-0.959007\pi\)
0.358614 + 0.933486i \(0.383250\pi\)
\(74\) −15.4378 + 10.9932i −1.79461 + 1.27794i
\(75\) −1.24767 1.58654i −0.144068 0.183198i
\(76\) −12.5336 3.68019i −1.43770 0.422147i
\(77\) −0.841316 1.04543i −0.0958768 0.119137i
\(78\) −0.879879 1.92667i −0.0996267 0.218152i
\(79\) 10.8820 11.4127i 1.22432 1.28403i 0.278078 0.960558i \(-0.410303\pi\)
0.946239 0.323468i \(-0.104849\pi\)
\(80\) −3.67058 10.6055i −0.410384 1.18573i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) −11.9684 + 12.5521i −1.32169 + 1.38615i
\(83\) 1.83612 + 4.02054i 0.201540 + 0.441312i 0.983233 0.182352i \(-0.0583709\pi\)
−0.781693 + 0.623663i \(0.785644\pi\)
\(84\) 4.89928 0.760695i 0.534555 0.0829986i
\(85\) 12.3991 + 3.64071i 1.34487 + 0.394891i
\(86\) −14.3979 18.3085i −1.55257 1.97425i
\(87\) −6.51324 + 4.63806i −0.698292 + 0.497252i
\(88\) −0.0777904 + 0.0989185i −0.00829248 + 0.0105447i
\(89\) −0.537006 + 11.2732i −0.0569226 + 1.19495i 0.772013 + 0.635607i \(0.219250\pi\)
−0.828935 + 0.559345i \(0.811053\pi\)
\(90\) −3.41463 3.94069i −0.359933 0.415385i
\(91\) −2.30053 + 1.67748i −0.241161 + 0.175847i
\(92\) −8.98545 + 0.172513i −0.936798 + 0.0179858i
\(93\) 2.43644 + 4.22004i 0.252647 + 0.437598i
\(94\) 1.61351 + 8.37170i 0.166421 + 0.863475i
\(95\) 16.4141 8.46205i 1.68405 0.868188i
\(96\) −2.91445 7.27994i −0.297455 0.743006i
\(97\) 0.334288 0.731988i 0.0339418 0.0743221i −0.891902 0.452229i \(-0.850629\pi\)
0.925844 + 0.377907i \(0.123356\pi\)
\(98\) −4.79767 12.9153i −0.484638 1.30464i
\(99\) −0.142893 + 0.486650i −0.0143613 + 0.0489102i
\(100\) −3.36183 1.73314i −0.336183 0.173314i
\(101\) −0.00201784 + 0.0211317i −0.000200782 + 0.00210269i −0.995572 0.0940046i \(-0.970033\pi\)
0.995371 + 0.0961073i \(0.0306392\pi\)
\(102\) 9.33018 + 2.26348i 0.923826 + 0.224118i
\(103\) −7.42491 1.43103i −0.731598 0.141004i −0.190170 0.981751i \(-0.560904\pi\)
−0.541428 + 0.840747i \(0.682116\pi\)
\(104\) 0.201787 + 0.174849i 0.0197868 + 0.0171454i
\(105\) −4.27060 + 5.55792i −0.416768 + 0.542398i
\(106\) −9.97224 + 4.55417i −0.968590 + 0.442340i
\(107\) −0.839032 + 1.62750i −0.0811123 + 0.157336i −0.925903 0.377760i \(-0.876694\pi\)
0.844791 + 0.535096i \(0.179725\pi\)
\(108\) −1.29317 1.35623i −0.124435 0.130504i
\(109\) 1.23915 3.09525i 0.118689 0.296472i −0.857112 0.515130i \(-0.827744\pi\)
0.975802 + 0.218658i \(0.0701680\pi\)
\(110\) 0.251391 + 2.63268i 0.0239692 + 0.251016i
\(111\) 1.37034 9.53093i 0.130067 0.904636i
\(112\) −9.36009 + 6.16507i −0.884445 + 0.582545i
\(113\) −2.62064 + 2.27080i −0.246530 + 0.213619i −0.769356 0.638820i \(-0.779423\pi\)
0.522827 + 0.852439i \(0.324877\pi\)
\(114\) 11.8819 6.86000i 1.11284 0.642498i
\(115\) 9.02520 8.94249i 0.841604 0.833891i
\(116\) −7.49189 + 12.9763i −0.695604 + 1.20482i
\(117\) 1.01694 + 0.351967i 0.0940164 + 0.0325394i
\(118\) 4.66656 7.26130i 0.429591 0.668457i
\(119\) 0.469182 12.8971i 0.0430099 1.18228i
\(120\) 0.597908 + 0.273055i 0.0545812 + 0.0249264i
\(121\) −8.44437 + 6.64073i −0.767670 + 0.603703i
\(122\) 15.4877 14.7675i 1.40219 1.33698i
\(123\) −0.419279 8.80176i −0.0378052 0.793628i
\(124\) 7.43830 + 5.29679i 0.667979 + 0.475666i
\(125\) −7.57905 + 2.22541i −0.677891 + 0.199047i
\(126\) −2.97276 + 4.27554i −0.264835 + 0.380896i
\(127\) 2.17445 2.50945i 0.192951 0.222677i −0.651028 0.759054i \(-0.725662\pi\)
0.843979 + 0.536377i \(0.180207\pi\)
\(128\) 1.43369 + 1.36702i 0.126722 + 0.120829i
\(129\) 11.7802 + 1.12487i 1.03719 + 0.0990394i
\(130\) 5.60488 0.266993i 0.491580 0.0234169i
\(131\) −0.172737 + 0.0419055i −0.0150921 + 0.00366130i −0.243298 0.969952i \(-0.578229\pi\)
0.228206 + 0.973613i \(0.426714\pi\)
\(132\) 0.135264 + 0.940780i 0.0117732 + 0.0818844i
\(133\) −12.2333 13.8015i −1.06076 1.19674i
\(134\) 17.9547 + 2.58149i 1.55105 + 0.223007i
\(135\) 2.64622 + 0.126055i 0.227750 + 0.0108491i
\(136\) −1.18840 + 0.229045i −0.101904 + 0.0196404i
\(137\) 7.72625 + 4.46075i 0.660098 + 0.381108i 0.792314 0.610113i \(-0.208876\pi\)
−0.132216 + 0.991221i \(0.542209\pi\)
\(138\) 6.38154 6.95533i 0.543232 0.592077i
\(139\) 10.0620i 0.853446i −0.904382 0.426723i \(-0.859668\pi\)
0.904382 0.426723i \(-0.140332\pi\)
\(140\) −2.95301 + 12.7985i −0.249575 + 1.08167i
\(141\) −3.64405 2.34189i −0.306884 0.197223i
\(142\) 16.5526 6.62668i 1.38907 0.556098i
\(143\) −0.316599 0.444602i −0.0264754 0.0371794i
\(144\) 3.93278 + 1.57445i 0.327731 + 0.131204i
\(145\) −4.99403 20.5857i −0.414732 1.70955i
\(146\) −9.31156 14.4891i −0.770630 1.19912i
\(147\) 6.43116 + 2.76408i 0.530433 + 0.227977i
\(148\) −5.08360 17.3131i −0.417869 1.42313i
\(149\) −3.20997 + 16.6549i −0.262971 + 1.36442i 0.574753 + 0.818327i \(0.305098\pi\)
−0.837724 + 0.546094i \(0.816114\pi\)
\(150\) 3.75411 1.29931i 0.306522 0.106088i
\(151\) 1.61406 6.65325i 0.131351 0.541434i −0.867668 0.497144i \(-0.834382\pi\)
0.999019 0.0442904i \(-0.0141027\pi\)
\(152\) −1.00323 + 1.40883i −0.0813723 + 0.114271i
\(153\) −4.10354 + 2.63718i −0.331751 + 0.213204i
\(154\) 2.48607 0.891843i 0.200333 0.0718667i
\(155\) −12.7779 + 1.83719i −1.02635 + 0.147567i
\(156\) 2.00747 0.191690i 0.160726 0.0153475i
\(157\) 1.69431 + 1.33242i 0.135220 + 0.106338i 0.683478 0.729971i \(-0.260466\pi\)
−0.548258 + 0.836309i \(0.684709\pi\)
\(158\) 14.2222 + 27.5871i 1.13145 + 2.19471i
\(159\) 1.82175 5.26360i 0.144474 0.417431i
\(160\) 20.7743 1.64235
\(161\) −10.8781 6.53197i −0.857315 0.514792i
\(162\) 1.96823 0.154639
\(163\) −7.92610 + 22.9010i −0.620820 + 1.79374i −0.0126703 + 0.999920i \(0.504033\pi\)
−0.608150 + 0.793822i \(0.708088\pi\)
\(164\) −7.56655 14.6771i −0.590848 1.14609i
\(165\) −1.05620 0.830602i −0.0822248 0.0646623i
\(166\) −8.66013 + 0.826942i −0.672156 + 0.0641832i
\(167\) −13.7711 + 1.97999i −1.06564 + 0.153216i −0.652757 0.757568i \(-0.726388\pi\)
−0.412884 + 0.910784i \(0.635478\pi\)
\(168\) 0.116982 0.645939i 0.00902539 0.0498353i
\(169\) 9.96208 6.40224i 0.766314 0.492480i
\(170\) −14.7535 + 20.7185i −1.13155 + 1.58903i
\(171\) −1.64341 + 6.77422i −0.125675 + 0.518038i
\(172\) 20.9561 7.25299i 1.59789 0.553035i
\(173\) 1.06720 5.53716i 0.0811378 0.420983i −0.918534 0.395343i \(-0.870626\pi\)
0.999671 0.0256395i \(-0.00816220\pi\)
\(174\) −4.43383 15.1002i −0.336128 1.14475i
\(175\) −2.72184 4.59435i −0.205751 0.347300i
\(176\) −1.16162 1.80751i −0.0875602 0.136246i
\(177\) 1.03390 + 4.26180i 0.0777128 + 0.320337i
\(178\) −20.6222 8.25587i −1.54570 0.618803i
\(179\) 3.54254 + 4.97480i 0.264782 + 0.371834i 0.925467 0.378829i \(-0.123673\pi\)
−0.660685 + 0.750664i \(0.729734\pi\)
\(180\) 4.60886 1.84511i 0.343524 0.137526i
\(181\) −13.0785 8.40506i −0.972120 0.624743i −0.0447931 0.998996i \(-0.514263\pi\)
−0.927327 + 0.374253i \(0.877899\pi\)
\(182\) −1.63912 5.35881i −0.121500 0.397222i
\(183\) 10.8725i 0.803720i
\(184\) −0.367525 + 1.13173i −0.0270943 + 0.0834323i
\(185\) 22.0916 + 12.7546i 1.62420 + 0.937735i
\(186\) −9.41765 + 1.81510i −0.690535 + 0.133090i
\(187\) 2.47124 + 0.117720i 0.180715 + 0.00860851i
\(188\) −8.03471 1.15522i −0.585991 0.0842528i
\(189\) −0.529873 2.59215i −0.0385426 0.188551i
\(190\) 5.17276 + 35.9773i 0.375271 + 2.61007i
\(191\) 0.000908371 0 0.000220369i 6.57274e−5 0 1.59453e-5i −0.235726 0.971820i \(-0.575747\pi\)
0.235792 + 0.971804i \(0.424232\pi\)
\(192\) 6.95386 0.331253i 0.501852 0.0239062i
\(193\) −11.2433 1.07361i −0.809313 0.0772801i −0.317809 0.948155i \(-0.602947\pi\)
−0.491505 + 0.870875i \(0.663553\pi\)
\(194\) 1.14629 + 1.09298i 0.0822987 + 0.0784717i
\(195\) −1.86694 + 2.15457i −0.133695 + 0.154292i
\(196\) 13.1143 0.294783i 0.936734 0.0210560i
\(197\) −19.9304 + 5.85211i −1.41999 + 0.416945i −0.899498 0.436924i \(-0.856068\pi\)
−0.520487 + 0.853870i \(0.674250\pi\)
\(198\) −0.813174 0.579058i −0.0577897 0.0411519i
\(199\) 0.457175 + 9.59729i 0.0324083 + 0.680334i 0.955365 + 0.295429i \(0.0954626\pi\)
−0.922956 + 0.384905i \(0.874234\pi\)
\(200\) −0.362433 + 0.345579i −0.0256279 + 0.0244361i
\(201\) −7.24429 + 5.69697i −0.510973 + 0.401833i
\(202\) −0.0380057 0.0173566i −0.00267407 0.00122121i
\(203\) −18.6933 + 9.90449i −1.31201 + 0.695159i
\(204\) −4.94193 + 7.68979i −0.346004 + 0.538393i
\(205\) 22.0603 + 7.63515i 1.54076 + 0.533262i
\(206\) 7.44146 12.8890i 0.518471 0.898018i
\(207\) 0.320108 + 4.78514i 0.0222490 + 0.332590i
\(208\) −3.94797 + 2.27936i −0.273743 + 0.158045i
\(209\) 2.67196 2.31527i 0.184824 0.160151i
\(210\) −7.58845 11.5211i −0.523653 0.795033i
\(211\) 2.10920 14.6698i 0.145203 1.00991i −0.778730 0.627359i \(-0.784136\pi\)
0.923934 0.382552i \(-0.124955\pi\)
\(212\) −0.992170 10.3905i −0.0681425 0.713621i
\(213\) −3.36682 + 8.40990i −0.230690 + 0.576237i
\(214\) −2.48699 2.60828i −0.170007 0.178298i
\(215\) −14.3655 + 27.8652i −0.979720 + 1.90039i
\(216\) −0.225692 + 0.103070i −0.0153564 + 0.00701303i
\(217\) 4.92583 + 11.9143i 0.334387 + 0.808797i
\(218\) 4.95942 + 4.29736i 0.335894 + 0.291054i
\(219\) 8.59245 + 1.65606i 0.580624 + 0.111906i
\(220\) −2.44698 0.593632i −0.164976 0.0400226i
\(221\) 0.498971 5.22546i 0.0335644 0.351503i
\(222\) 16.8452 + 8.68430i 1.13058 + 0.582852i
\(223\) −1.58632 + 5.40251i −0.106228 + 0.361779i −0.995401 0.0957912i \(-0.969462\pi\)
0.889174 + 0.457570i \(0.151280\pi\)
\(224\) −5.11756 20.1060i −0.341931 1.34339i
\(225\) −0.838457 + 1.83596i −0.0558971 + 0.122398i
\(226\) −2.53662 6.33617i −0.168733 0.421476i
\(227\) −2.13699 + 1.10169i −0.141837 + 0.0731219i −0.527684 0.849441i \(-0.676939\pi\)
0.385847 + 0.922563i \(0.373909\pi\)
\(228\) 2.47213 + 12.8267i 0.163721 + 0.849466i
\(229\) 9.32726 + 16.1553i 0.616363 + 1.06757i 0.990144 + 0.140055i \(0.0447279\pi\)
−0.373781 + 0.927517i \(0.621939\pi\)
\(230\) 10.8229 + 22.5434i 0.713643 + 1.48647i
\(231\) −0.543699 + 1.22683i −0.0357728 + 0.0807197i
\(232\) 1.29917 + 1.49932i 0.0852945 + 0.0984351i
\(233\) 0.209810 4.40445i 0.0137451 0.288545i −0.981521 0.191356i \(-0.938712\pi\)
0.995266 0.0971896i \(-0.0309853\pi\)
\(234\) −1.30931 + 1.66492i −0.0855920 + 0.108839i
\(235\) 9.34774 6.65650i 0.609779 0.434222i
\(236\) 5.08004 + 6.45980i 0.330682 + 0.420497i
\(237\) −15.1304 4.44269i −0.982825 0.288583i
\(238\) 23.6864 + 9.17515i 1.53536 + 0.594737i
\(239\) −1.93670 4.24079i −0.125275 0.274314i 0.836595 0.547822i \(-0.184543\pi\)
−0.961870 + 0.273509i \(0.911816\pi\)
\(240\) −7.74454 + 8.12224i −0.499908 + 0.524289i
\(241\) −9.26678 26.7746i −0.596926 1.72470i −0.684954 0.728586i \(-0.740178\pi\)
0.0880279 0.996118i \(-0.471944\pi\)
\(242\) −6.91560 19.9813i −0.444552 1.28445i
\(243\) −0.690079 + 0.723734i −0.0442686 + 0.0464276i
\(244\) 8.46386 + 18.5333i 0.541843 + 1.18647i
\(245\) −13.1303 + 13.0956i −0.838866 + 0.836645i
\(246\) 16.6410 + 4.88624i 1.06099 + 0.311536i
\(247\) −4.63705 5.89649i −0.295048 0.375185i
\(248\) 0.984846 0.701305i 0.0625378 0.0445329i
\(249\) 2.73224 3.47433i 0.173149 0.220177i
\(250\) 0.739761 15.5295i 0.0467866 0.982172i
\(251\) 7.59386 + 8.76378i 0.479320 + 0.553165i 0.942980 0.332848i \(-0.108010\pi\)
−0.463660 + 0.886013i \(0.653464\pi\)
\(252\) −2.92111 4.00608i −0.184013 0.252359i
\(253\) 1.27555 2.07115i 0.0801928 0.130212i
\(254\) 3.26773 + 5.65988i 0.205036 + 0.355132i
\(255\) −2.44561 12.6891i −0.153150 0.794619i
\(256\) −15.8413 + 8.16674i −0.990079 + 0.510421i
\(257\) 6.21591 + 15.5266i 0.387738 + 0.968522i 0.985928 + 0.167168i \(0.0534623\pi\)
−0.598191 + 0.801354i \(0.704113\pi\)
\(258\) −9.67569 + 21.1868i −0.602382 + 1.31903i
\(259\) 6.90223 24.5229i 0.428884 1.52378i
\(260\) −1.50513 + 5.12601i −0.0933444 + 0.317902i
\(261\) 7.10701 + 3.66392i 0.439913 + 0.226791i
\(262\) 0.0332552 0.348264i 0.00205451 0.0215158i
\(263\) 24.5966 + 5.96706i 1.51669 + 0.367945i 0.905778 0.423753i \(-0.139288\pi\)
0.610912 + 0.791698i \(0.290803\pi\)
\(264\) 0.123568 + 0.0238158i 0.00760508 + 0.00146576i
\(265\) 11.1518 + 9.66312i 0.685052 + 0.593601i
\(266\) 33.5457 13.8691i 2.05682 0.850367i
\(267\) 10.2660 4.68835i 0.628272 0.286922i
\(268\) −7.91371 + 15.3504i −0.483407 + 0.937678i
\(269\) 16.0914 + 16.8762i 0.981112 + 1.02896i 0.999576 + 0.0291309i \(0.00927395\pi\)
−0.0184639 + 0.999830i \(0.505878\pi\)
\(270\) −1.93795 + 4.84077i −0.117940 + 0.294600i
\(271\) 1.15963 + 12.1442i 0.0704423 + 0.737705i 0.959836 + 0.280563i \(0.0905211\pi\)
−0.889393 + 0.457143i \(0.848873\pi\)
\(272\) 2.94077 20.4535i 0.178310 1.24018i
\(273\) 2.54516 + 1.27613i 0.154040 + 0.0772348i
\(274\) −13.2707 + 11.4991i −0.801710 + 0.694685i
\(275\) 0.886552 0.511851i 0.0534611 0.0308658i
\(276\) 4.27071 + 7.90754i 0.257066 + 0.475978i
\(277\) −2.19838 + 3.80771i −0.132088 + 0.228783i −0.924481 0.381227i \(-0.875501\pi\)
0.792393 + 0.610011i \(0.208835\pi\)
\(278\) 18.7151 + 6.47736i 1.12246 + 0.388486i
\(279\) 2.63448 4.09933i 0.157722 0.245420i
\(280\) 1.47347 + 0.923714i 0.0880568 + 0.0552025i
\(281\) 12.4801 + 5.69948i 0.744501 + 0.340002i 0.751288 0.659975i \(-0.229433\pi\)
−0.00678676 + 0.999977i \(0.502160\pi\)
\(282\) 6.70171 5.27028i 0.399081 0.313841i
\(283\) −2.38488 + 2.27398i −0.141766 + 0.135174i −0.757644 0.652668i \(-0.773650\pi\)
0.615878 + 0.787841i \(0.288801\pi\)
\(284\) 0.807734 + 16.9564i 0.0479302 + 1.00618i
\(285\) −15.0427 10.7119i −0.891055 0.634517i
\(286\) 1.03076 0.302659i 0.0609501 0.0178966i
\(287\) 1.95518 23.2315i 0.115411 1.37131i
\(288\) −5.13519 + 5.92633i −0.302594 + 0.349212i
\(289\) 4.91687 + 4.68823i 0.289228 + 0.275778i
\(290\) 41.5039 + 3.96314i 2.43719 + 0.232724i
\(291\) −0.803797 + 0.0382896i −0.0471194 + 0.00224457i
\(292\) 15.9358 3.86599i 0.932575 0.226240i
\(293\) −0.368752 2.56472i −0.0215427 0.149833i 0.976211 0.216823i \(-0.0695695\pi\)
−0.997754 + 0.0669902i \(0.978660\pi\)
\(294\) −9.28117 + 10.1825i −0.541289 + 0.593854i
\(295\) −11.4997 1.65340i −0.669537 0.0962649i
\(296\) −2.38636 0.113677i −0.138705 0.00660731i
\(297\) 0.498030 0.0959873i 0.0288986 0.00556975i
\(298\) −28.9114 16.6920i −1.67479 0.966941i
\(299\) −4.26066 2.91238i −0.246400 0.168428i
\(300\) 3.78229i 0.218370i
\(301\) 30.5077 + 7.03906i 1.75843 + 0.405725i
\(302\) 11.3359 + 7.28513i 0.652307 + 0.419212i
\(303\) 0.0197073 0.00788959i 0.00113215 0.000453245i
\(304\) −17.1288 24.0541i −0.982405 1.37959i
\(305\) −26.7404 10.7053i −1.53115 0.612981i
\(306\) −2.26348 9.33018i −0.129394 0.533371i
\(307\) −3.98437 6.19980i −0.227400 0.353841i 0.708739 0.705470i \(-0.249264\pi\)
−0.936139 + 0.351629i \(0.885628\pi\)
\(308\) 0.0282570 + 2.51451i 0.00161009 + 0.143277i
\(309\) 2.13034 + 7.25526i 0.121191 + 0.412738i
\(310\) 4.80860 24.9494i 0.273110 1.41703i
\(311\) −19.6087 + 6.78665i −1.11191 + 0.384836i −0.820433 0.571743i \(-0.806268\pi\)
−0.291476 + 0.956578i \(0.594146\pi\)
\(312\) 0.0629481 0.259476i 0.00356374 0.0146899i
\(313\) −8.36018 + 11.7402i −0.472545 + 0.663597i −0.980211 0.197957i \(-0.936569\pi\)
0.507665 + 0.861554i \(0.330509\pi\)
\(314\) −3.56897 + 2.29364i −0.201409 + 0.129438i
\(315\) 6.89698 + 1.24907i 0.388601 + 0.0703773i
\(316\) −29.2497 + 4.20547i −1.64542 + 0.236576i
\(317\) −12.6678 + 1.20963i −0.711493 + 0.0679393i −0.444525 0.895766i \(-0.646628\pi\)
−0.266967 + 0.963706i \(0.586022\pi\)
\(318\) 8.61745 + 6.77684i 0.483243 + 0.380026i
\(319\) −1.85832 3.60464i −0.104046 0.201821i
\(320\) −6.03218 + 17.4288i −0.337209 + 0.974301i
\(321\) 1.83104 0.102199
\(322\) 19.1521 16.0282i 1.06730 0.893214i
\(323\) 34.0024 1.89194
\(324\) −0.612906 + 1.77088i −0.0340503 + 0.0983820i
\(325\) −0.995274 1.93056i −0.0552079 0.107088i
\(326\) −37.4930 29.4848i −2.07654 1.63301i
\(327\) −3.31898 + 0.316925i −0.183540 + 0.0175260i
\(328\) −2.16406 + 0.311145i −0.119490 + 0.0171801i
\(329\) −8.74511 7.40728i −0.482134 0.408377i
\(330\) 2.22483 1.42981i 0.122473 0.0787084i
\(331\) −9.62205 + 13.5123i −0.528875 + 0.742702i −0.989443 0.144923i \(-0.953707\pi\)
0.460567 + 0.887625i \(0.347646\pi\)
\(332\) 1.95273 8.04928i 0.107170 0.441761i
\(333\) −9.09935 + 3.14932i −0.498641 + 0.172581i
\(334\) 5.18236 26.8886i 0.283566 1.47128i
\(335\) −6.87858 23.4263i −0.375817 1.27991i
\(336\) 9.76877 + 5.49458i 0.532930 + 0.299754i
\(337\) 2.20175 + 3.42599i 0.119937 + 0.186626i 0.896031 0.443992i \(-0.146438\pi\)
−0.776094 + 0.630618i \(0.782802\pi\)
\(338\) 5.49500 + 22.6507i 0.298889 + 1.23204i
\(339\) 3.21922 + 1.28878i 0.174844 + 0.0699969i
\(340\) −14.0467 19.7259i −0.761792 1.06979i
\(341\) −2.29446 + 0.918565i −0.124252 + 0.0497431i
\(342\) −11.5420 7.41759i −0.624120 0.401097i
\(343\) 15.9089 + 9.48199i 0.858998 + 0.511979i
\(344\) 2.93612i 0.158305i
\(345\) −12.0840 3.92423i −0.650580 0.211273i
\(346\) 9.61201 + 5.54950i 0.516745 + 0.298343i
\(347\) 14.1688 2.73082i 0.760622 0.146598i 0.205831 0.978588i \(-0.434010\pi\)
0.554791 + 0.831990i \(0.312798\pi\)
\(348\) 14.9668 + 0.712957i 0.802305 + 0.0382185i
\(349\) 10.1754 + 1.46300i 0.544676 + 0.0783126i 0.409160 0.912463i \(-0.365822\pi\)
0.135516 + 0.990775i \(0.456731\pi\)
\(350\) 10.2976 2.10497i 0.550428 0.112516i
\(351\) −0.153149 1.06518i −0.00817449 0.0568548i
\(352\) 3.86514 0.937672i 0.206013 0.0499781i
\(353\) 7.31439 0.348427i 0.389305 0.0185449i 0.147983 0.988990i \(-0.452722\pi\)
0.241322 + 0.970445i \(0.422419\pi\)
\(354\) −8.59244 0.820479i −0.456683 0.0436080i
\(355\) −17.3687 16.5610i −0.921835 0.878968i
\(356\) 13.8498 15.9835i 0.734036 0.847123i
\(357\) −11.6784 + 5.49278i −0.618088 + 0.290709i
\(358\) −11.5335 + 3.38655i −0.609566 + 0.178985i
\(359\) 5.81737 + 4.14253i 0.307029 + 0.218634i 0.723177 0.690662i \(-0.242681\pi\)
−0.416148 + 0.909297i \(0.636620\pi\)
\(360\) −0.0312759 0.656563i −0.00164839 0.0346039i
\(361\) 21.4159 20.4201i 1.12715 1.07474i
\(362\) 24.0525 18.9151i 1.26417 0.994156i
\(363\) 9.77195 + 4.46270i 0.512894 + 0.234231i
\(364\) 5.33190 + 0.193968i 0.279467 + 0.0101667i
\(365\) −12.5333 + 19.5021i −0.656020 + 1.02079i
\(366\) −20.2227 6.99914i −1.05706 0.365851i
\(367\) −16.1194 + 27.9195i −0.841423 + 1.45739i 0.0472678 + 0.998882i \(0.484949\pi\)
−0.888691 + 0.458506i \(0.848385\pi\)
\(368\) −16.2078 12.2498i −0.844888 0.638565i
\(369\) −7.63119 + 4.40587i −0.397264 + 0.229360i
\(370\) −37.9446 + 32.8792i −1.97265 + 1.70931i
\(371\) 6.60512 13.1735i 0.342921 0.683936i
\(372\) 1.29955 9.03855i 0.0673784 0.468627i
\(373\) −1.19498 12.5144i −0.0618739 0.647973i −0.972211 0.234106i \(-0.924784\pi\)
0.910337 0.413867i \(-0.135822\pi\)
\(374\) −1.80981 + 4.52068i −0.0935828 + 0.233759i
\(375\) 5.45095 + 5.71679i 0.281486 + 0.295214i
\(376\) −0.492479 + 0.955277i −0.0253977 + 0.0492646i
\(377\) −7.82700 + 3.57447i −0.403111 + 0.184095i
\(378\) 5.16245 + 0.683131i 0.265528 + 0.0351365i
\(379\) −5.74901 4.98155i −0.295307 0.255885i 0.494587 0.869128i \(-0.335319\pi\)
−0.789894 + 0.613243i \(0.789865\pi\)
\(380\) −33.9806 6.54922i −1.74317 0.335968i
\(381\) −3.22687 0.782831i −0.165318 0.0401056i
\(382\) −0.000174879 0.00183142i −8.94759e−6 9.37034e-5i
\(383\) 26.5404 + 13.6825i 1.35615 + 0.699145i 0.974337 0.225094i \(-0.0722689\pi\)
0.381815 + 0.924239i \(0.375299\pi\)
\(384\) 0.558103 1.90072i 0.0284806 0.0969958i
\(385\) −2.48200 2.54516i −0.126494 0.129713i
\(386\) 9.23475 20.2213i 0.470036 1.02924i
\(387\) −4.39817 10.9861i −0.223571 0.558455i
\(388\) −1.34034 + 0.690994i −0.0680456 + 0.0350799i
\(389\) −4.67308 24.2462i −0.236935 1.22933i −0.884215 0.467081i \(-0.845306\pi\)
0.647280 0.762252i \(-0.275906\pi\)
\(390\) −2.80562 4.85947i −0.142068 0.246069i
\(391\) 22.3153 7.02036i 1.12853 0.355035i
\(392\) 0.531023 1.65362i 0.0268207 0.0835206i
\(393\) 0.116400 + 0.134332i 0.00587159 + 0.00677617i
\(394\) 1.94533 40.8375i 0.0980044 2.05736i
\(395\) 25.8242 32.8381i 1.29936 1.65227i
\(396\) 0.774217 0.551317i 0.0389059 0.0277047i
\(397\) 12.8324 + 16.3178i 0.644041 + 0.818965i 0.992993 0.118176i \(-0.0377045\pi\)
−0.348951 + 0.937141i \(0.613462\pi\)
\(398\) −18.1451 5.32788i −0.909531 0.267062i
\(399\) −6.66166 + 17.1976i −0.333500 + 0.860958i
\(400\) −3.55189 7.77756i −0.177595 0.388878i
\(401\) 9.58688 10.0544i 0.478746 0.502094i −0.439425 0.898279i \(-0.644818\pi\)
0.918171 + 0.396185i \(0.129666\pi\)
\(402\) −5.93278 17.1416i −0.295900 0.854948i
\(403\) 1.71510 + 4.95544i 0.0854350 + 0.246848i
\(404\) 0.0274512 0.0287899i 0.00136575 0.00143235i
\(405\) −1.10053 2.40981i −0.0546855 0.119745i
\(406\) −6.38847 41.1451i −0.317054 2.04200i
\(407\) 4.68592 + 1.37591i 0.232273 + 0.0682014i
\(408\) 0.748139 + 0.951336i 0.0370384 + 0.0470981i
\(409\) −1.49098 + 1.06173i −0.0737245 + 0.0524989i −0.616325 0.787492i \(-0.711379\pi\)
0.542600 + 0.839991i \(0.317440\pi\)
\(410\) −28.4025 + 36.1167i −1.40270 + 1.78368i
\(411\) 0.424502 8.91140i 0.0209391 0.439567i
\(412\) 9.27932 + 10.7089i 0.457159 + 0.527590i
\(413\) 1.23263 + 11.5371i 0.0606537 + 0.567702i
\(414\) −9.10633 2.48502i −0.447552 0.122132i
\(415\) 5.85473 + 10.1407i 0.287397 + 0.497787i
\(416\) −1.59702 8.28613i −0.0783004 0.406261i
\(417\) −8.94345 + 4.61067i −0.437962 + 0.225785i
\(418\) 2.58629 + 6.46025i 0.126500 + 0.315981i
\(419\) −8.39073 + 18.3731i −0.409914 + 0.897586i 0.586254 + 0.810127i \(0.300602\pi\)
−0.996168 + 0.0874591i \(0.972125\pi\)
\(420\) 12.7289 3.23988i 0.621108 0.158090i
\(421\) 5.77695 19.6745i 0.281551 0.958876i −0.690348 0.723478i \(-0.742542\pi\)
0.971899 0.235398i \(-0.0756394\pi\)
\(422\) 25.9278 + 13.3667i 1.26214 + 0.650681i
\(423\) −0.411753 + 4.31208i −0.0200201 + 0.209660i
\(424\) −1.34302 0.325814i −0.0652229 0.0158229i
\(425\) 9.66740 + 1.86324i 0.468938 + 0.0903804i
\(426\) −13.4749 11.6761i −0.652860 0.565707i
\(427\) −3.77362 + 28.5174i −0.182618 + 1.38005i
\(428\) 3.12119 1.42540i 0.150868 0.0688993i
\(429\) −0.250103 + 0.485133i −0.0120751 + 0.0234224i
\(430\) −42.5810 44.6577i −2.05344 2.15359i
\(431\) −8.55291 + 21.3641i −0.411979 + 1.02907i 0.566745 + 0.823894i \(0.308203\pi\)
−0.978724 + 0.205181i \(0.934222\pi\)
\(432\) −0.402679 4.21705i −0.0193739 0.202893i
\(433\) 0.788545 5.48445i 0.0378950 0.263566i −0.962062 0.272831i \(-0.912040\pi\)
0.999957 + 0.00926502i \(0.00294919\pi\)
\(434\) −25.3314 + 1.49215i −1.21595 + 0.0716254i
\(435\) −16.0089 + 13.8718i −0.767567 + 0.665101i
\(436\) −5.41082 + 3.12394i −0.259131 + 0.149609i
\(437\) 16.1564 29.2671i 0.772864 1.40003i
\(438\) −8.61160 + 14.9157i −0.411478 + 0.712701i
\(439\) 9.07918 + 3.14234i 0.433326 + 0.149976i 0.535018 0.844840i \(-0.320305\pi\)
−0.101693 + 0.994816i \(0.532426\pi\)
\(440\) −0.180240 + 0.280460i −0.00859263 + 0.0133704i
\(441\) −0.490118 6.98282i −0.0233389 0.332515i
\(442\) 9.39805 + 4.29195i 0.447020 + 0.204147i
\(443\) 6.24672 4.91248i 0.296791 0.233399i −0.458648 0.888618i \(-0.651666\pi\)
0.755439 + 0.655219i \(0.227424\pi\)
\(444\) −13.0591 + 12.4518i −0.619757 + 0.590937i
\(445\) 1.42265 + 29.8650i 0.0674399 + 1.41574i
\(446\) −9.02738 6.42837i −0.427459 0.304392i
\(447\) 16.2743 4.77858i 0.769750 0.226019i
\(448\) 18.3542 + 1.54470i 0.867153 + 0.0729800i
\(449\) −11.0563 + 12.7596i −0.521778 + 0.602164i −0.954075 0.299567i \(-0.903158\pi\)
0.432297 + 0.901731i \(0.357703\pi\)
\(450\) −2.87511 2.74141i −0.135534 0.129231i
\(451\) 4.44904 + 0.424831i 0.209497 + 0.0200045i
\(452\) 6.49074 0.309192i 0.305299 0.0145432i
\(453\) −6.65325 + 1.61406i −0.312597 + 0.0758353i
\(454\) −0.673452 4.68396i −0.0316067 0.219829i
\(455\) −5.64458 + 5.00321i −0.264622 + 0.234554i
\(456\) 1.71193 + 0.246138i 0.0801683 + 0.0115265i
\(457\) 30.1359 + 1.43555i 1.40970 + 0.0671522i 0.738564 0.674184i \(-0.235504\pi\)
0.671134 + 0.741336i \(0.265807\pi\)
\(458\) −36.0529 + 6.94863i −1.68464 + 0.324688i
\(459\) 4.22437 + 2.43894i 0.197177 + 0.113840i
\(460\) −23.6532 + 2.71771i −1.10284 + 0.126714i
\(461\) 16.1003i 0.749865i 0.927052 + 0.374932i \(0.122334\pi\)
−0.927052 + 0.374932i \(0.877666\pi\)
\(462\) −1.93188 1.80104i −0.0898794 0.0837919i
\(463\) 2.10296 + 1.35149i 0.0977328 + 0.0628090i 0.588594 0.808429i \(-0.299682\pi\)
−0.490862 + 0.871238i \(0.663318\pi\)
\(464\) −31.4460 + 12.5891i −1.45984 + 0.584432i
\(465\) 7.48815 + 10.5156i 0.347255 + 0.487651i
\(466\) 8.05713 + 3.22559i 0.373239 + 0.149423i
\(467\) 8.51995 + 35.1197i 0.394256 + 1.62515i 0.730178 + 0.683257i \(0.239437\pi\)
−0.335922 + 0.941890i \(0.609048\pi\)
\(468\) −1.09026 1.69647i −0.0503972 0.0784195i
\(469\) −20.9782 + 12.4282i −0.968685 + 0.573880i
\(470\) 6.36339 + 21.6717i 0.293521 + 0.999642i
\(471\) 0.407924 2.11651i 0.0187961 0.0975236i
\(472\) 1.02824 0.355877i 0.0473285 0.0163806i
\(473\) −1.41503 + 5.83285i −0.0650633 + 0.268195i
\(474\) 18.0034 25.2823i 0.826926 1.16125i
\(475\) 11.8359 7.60650i 0.543070 0.349010i
\(476\) −15.6311 + 18.4542i −0.716449 + 0.845847i
\(477\) −5.51325 + 0.792685i −0.252434 + 0.0362946i
\(478\) 9.13453 0.872242i 0.417804 0.0398954i
\(479\) −0.118398 0.0931094i −0.00540976 0.00425428i 0.615450 0.788176i \(-0.288974\pi\)
−0.620860 + 0.783921i \(0.713217\pi\)
\(480\) −9.51932 18.4649i −0.434495 0.842803i
\(481\) 3.38907 9.79207i 0.154528 0.446480i
\(482\) 55.7657 2.54006
\(483\) −0.821211 + 12.6620i −0.0373664 + 0.576140i
\(484\) 20.1313 0.915058
\(485\) 0.697259 2.01460i 0.0316609 0.0914782i
\(486\) −0.901897 1.74944i −0.0409109 0.0793560i
\(487\) −21.1473 16.6304i −0.958277 0.753597i 0.0109060 0.999941i \(-0.496528\pi\)
−0.969183 + 0.246343i \(0.920771\pi\)
\(488\) 2.68541 0.256425i 0.121563 0.0116078i
\(489\) 23.9871 3.44883i 1.08474 0.155961i
\(490\) −15.9049 32.8524i −0.718511 1.48412i
\(491\) 19.2192 12.3514i 0.867352 0.557413i −0.0295899 0.999562i \(-0.509420\pi\)
0.896942 + 0.442149i \(0.145784\pi\)
\(492\) −9.57829 + 13.4508i −0.431823 + 0.606410i
\(493\) 9.19528 37.9035i 0.414135 1.70709i
\(494\) 13.9524 4.82899i 0.627750 0.217266i
\(495\) −0.254291 + 1.31939i −0.0114295 + 0.0593021i
\(496\) 5.81570 + 19.8065i 0.261133 + 0.889337i
\(497\) −11.7497 + 20.8897i −0.527045 + 0.937029i
\(498\) 4.70332 + 7.31850i 0.210761 + 0.327950i
\(499\) −6.20310 25.5695i −0.277689 1.14465i −0.924250 0.381787i \(-0.875309\pi\)
0.646562 0.762862i \(-0.276206\pi\)
\(500\) 13.7420 + 5.50146i 0.614560 + 0.246033i
\(501\) 8.07017 + 11.3330i 0.360549 + 0.506320i
\(502\) −21.1890 + 8.48279i −0.945711 + 0.378606i
\(503\) −29.7766 19.1362i −1.32767 0.853242i −0.331741 0.943371i \(-0.607636\pi\)
−0.995930 + 0.0901283i \(0.971272\pi\)
\(504\) −0.627738 + 0.192008i −0.0279617 + 0.00855273i
\(505\) 0.0562372i 0.00250252i
\(506\) 3.03118 + 3.70579i 0.134752 + 0.164742i
\(507\) −10.2554 5.92097i −0.455460 0.262960i
\(508\) −6.10992 + 1.17759i −0.271084 + 0.0522471i
\(509\) −9.61230 0.457890i −0.426058 0.0202956i −0.166542 0.986034i \(-0.553260\pi\)
−0.259516 + 0.965739i \(0.583563\pi\)
\(510\) 25.1758 + 3.61973i 1.11480 + 0.160284i
\(511\) 21.9622 + 7.32591i 0.971553 + 0.324079i
\(512\) −4.42840 30.8002i −0.195709 1.36119i
\(513\) 6.77422 1.64341i 0.299089 0.0725583i
\(514\) −32.8806 + 1.56630i −1.45030 + 0.0690864i
\(515\) −19.9415 1.90418i −0.878728 0.0839084i
\(516\) −16.0494 15.3030i −0.706534 0.673679i
\(517\) 1.43874 1.66039i 0.0632756 0.0730239i
\(518\) 41.1689 + 28.6246i 1.80886 + 1.25769i
\(519\) −5.41065 + 1.58871i −0.237501 + 0.0697366i
\(520\) 0.576188 + 0.410301i 0.0252675 + 0.0179929i
\(521\) 0.540330 + 11.3429i 0.0236723 + 0.496942i 0.979306 + 0.202385i \(0.0648692\pi\)
−0.955634 + 0.294557i \(0.904828\pi\)
\(522\) −11.3899 + 10.8603i −0.498524 + 0.475341i
\(523\) −14.9870 + 11.7859i −0.655335 + 0.515361i −0.889558 0.456821i \(-0.848988\pi\)
0.234223 + 0.972183i \(0.424745\pi\)
\(524\) 0.302987 + 0.138370i 0.0132361 + 0.00604471i
\(525\) −2.83640 + 4.52452i −0.123791 + 0.197466i
\(526\) −26.9326 + 41.9079i −1.17432 + 1.82727i
\(527\) −22.4621 7.77420i −0.978463 0.338649i
\(528\) −1.07430 + 1.86074i −0.0467528 + 0.0809782i
\(529\) 4.56051 22.5433i 0.198283 0.980145i
\(530\) −25.1522 + 14.5216i −1.09254 + 0.630779i
\(531\) 3.31428 2.87184i 0.143827 0.124627i
\(532\) 2.03228 + 34.5009i 0.0881103 + 1.49580i
\(533\) 1.34951 9.38605i 0.0584538 0.406555i
\(534\) 2.11151 + 22.1128i 0.0913741 + 0.956913i
\(535\) −1.80287 + 4.50336i −0.0779450 + 0.194697i
\(536\) 1.57795 + 1.65491i 0.0681570 + 0.0714811i
\(537\) 2.79849 5.42832i 0.120764 0.234249i
\(538\) −41.7482 + 19.0658i −1.79989 + 0.821984i
\(539\) −1.85187 + 3.02914i −0.0797656 + 0.130474i
\(540\) −3.75190 3.25104i −0.161456 0.139903i
\(541\) −3.02928 0.583845i −0.130239 0.0251015i 0.123715 0.992318i \(-0.460519\pi\)
−0.253954 + 0.967216i \(0.581731\pi\)
\(542\) −23.3344 5.66087i −1.00230 0.243155i
\(543\) −1.47779 + 15.4761i −0.0634179 + 0.664142i
\(544\) 33.9986 + 17.5275i 1.45768 + 0.751484i
\(545\) 2.48846 8.47492i 0.106594 0.363026i
\(546\) −4.01202 + 3.91246i −0.171698 + 0.167438i
\(547\) −6.41773 + 14.0529i −0.274402 + 0.600858i −0.995789 0.0916751i \(-0.970778\pi\)
0.721386 + 0.692533i \(0.243505\pi\)
\(548\) −6.21359 15.5208i −0.265431 0.663016i
\(549\) 9.66389 4.98208i 0.412445 0.212630i
\(550\) 0.381319 + 1.97847i 0.0162595 + 0.0843623i
\(551\) −27.8685 48.2696i −1.18724 2.05635i
\(552\) 1.17433 0.191919i 0.0499829 0.00816863i
\(553\) −38.1434 16.9041i −1.62202 0.718835i
\(554\) −5.66707 6.54015i −0.240771 0.277864i
\(555\) 1.21377 25.4803i 0.0515219 1.08158i
\(556\) −11.6557 + 14.8215i −0.494313 + 0.628570i
\(557\) 31.7591 22.6156i 1.34568 0.958253i 0.345877 0.938280i \(-0.387581\pi\)
0.999801 0.0199728i \(-0.00635796\pi\)
\(558\) 5.92874 + 7.53901i 0.250984 + 0.319152i
\(559\) 12.2188 + 3.58777i 0.516801 + 0.151746i
\(560\) −23.1321 + 18.6158i −0.977510 + 0.786660i
\(561\) −1.02775 2.25047i −0.0433918 0.0950147i
\(562\) −18.6349 + 19.5438i −0.786068 + 0.824404i
\(563\) −6.82453 19.7182i −0.287620 0.831022i −0.992560 0.121756i \(-0.961147\pi\)
0.704940 0.709267i \(-0.250974\pi\)
\(564\) 2.65492 + 7.67088i 0.111792 + 0.323003i
\(565\) −6.33938 + 6.64855i −0.266700 + 0.279707i
\(566\) −2.69430 5.89969i −0.113250 0.247983i
\(567\) −2.06119 + 1.65876i −0.0865619 + 0.0696614i
\(568\) 2.15657 + 0.633225i 0.0904875 + 0.0265695i
\(569\) 4.26498 + 5.42337i 0.178797 + 0.227359i 0.867188 0.497981i \(-0.165925\pi\)
−0.688391 + 0.725340i \(0.741683\pi\)
\(570\) 29.6076 21.0835i 1.24013 0.883090i
\(571\) 6.44973 8.20150i 0.269913 0.343222i −0.632135 0.774858i \(-0.717821\pi\)
0.902048 + 0.431636i \(0.142064\pi\)
\(572\) −0.0486673 + 1.02165i −0.00203488 + 0.0427174i
\(573\) −0.000612111 0 0.000706414i −2.55713e−5 0 2.95109e-5i
\(574\) 41.9516 + 18.5918i 1.75103 + 0.776007i
\(575\) 6.19727 7.43577i 0.258444 0.310093i
\(576\) −3.48087 6.02905i −0.145036 0.251210i
\(577\) 6.43859 + 33.4066i 0.268042 + 1.39073i 0.827309 + 0.561747i \(0.189870\pi\)
−0.559267 + 0.828987i \(0.688917\pi\)
\(578\) −11.8852 + 6.12726i −0.494361 + 0.254861i
\(579\) 4.19774 + 10.4854i 0.174452 + 0.435760i
\(580\) −16.4900 + 36.1081i −0.684711 + 1.49931i
\(581\) 8.37223 8.16447i 0.347338 0.338719i
\(582\) 0.446223 1.51970i 0.0184965 0.0629934i
\(583\) 2.51100 + 1.29451i 0.103995 + 0.0536132i
\(584\) 0.206380 2.16131i 0.00854006 0.0894356i
\(585\) 2.77054 + 0.672125i 0.114548 + 0.0277890i
\(586\) 5.00772 + 0.965159i 0.206867 + 0.0398704i
\(587\) 18.0639 + 15.6525i 0.745577 + 0.646046i 0.942436 0.334386i \(-0.108529\pi\)
−0.196859 + 0.980432i \(0.563074\pi\)
\(588\) −6.27132 11.5214i −0.258625 0.475133i
\(589\) −30.8979 + 14.1106i −1.27313 + 0.581417i
\(590\) 10.4782 20.3248i 0.431380 0.836760i
\(591\) 14.3342 + 15.0333i 0.589631 + 0.618387i
\(592\) 15.1602 37.8685i 0.623082 1.55638i
\(593\) −0.323739 3.39035i −0.0132944 0.139225i 0.986388 0.164436i \(-0.0525804\pi\)
−0.999682 + 0.0252108i \(0.991974\pi\)
\(594\) −0.142070 + 0.988117i −0.00582920 + 0.0405429i
\(595\) −2.01047 34.1308i −0.0824214 1.39923i
\(596\) 24.0212 20.8145i 0.983949 0.852596i
\(597\) 8.32092 4.80409i 0.340553 0.196618i
\(598\) 8.15977 6.04992i 0.333678 0.247399i
\(599\) −22.7016 + 39.3203i −0.927561 + 1.60658i −0.140171 + 0.990127i \(0.544765\pi\)
−0.787390 + 0.616456i \(0.788568\pi\)
\(600\) 0.473240 + 0.163790i 0.0193199 + 0.00668669i
\(601\) −16.2067 + 25.2182i −0.661087 + 1.02867i 0.335164 + 0.942160i \(0.391208\pi\)
−0.996251 + 0.0865112i \(0.972428\pi\)
\(602\) −32.7317 + 52.2124i −1.33405 + 2.12802i
\(603\) 8.38319 + 3.82848i 0.341390 + 0.155908i
\(604\) −10.0846 + 7.93064i −0.410338 + 0.322693i
\(605\) −20.5974 + 19.6396i −0.837403 + 0.798462i
\(606\) 0.00198804 + 0.0417340i 8.07585e−5 + 0.00169533i
\(607\) 5.82648 + 4.14902i 0.236489 + 0.168403i 0.692158 0.721746i \(-0.256660\pi\)
−0.455668 + 0.890150i \(0.650600\pi\)
\(608\) 52.4478 15.4001i 2.12704 0.624555i
\(609\) 17.3692 + 12.0767i 0.703836 + 0.489374i
\(610\) 37.1256 42.8452i 1.50317 1.73475i
\(611\) −3.37365 3.21677i −0.136483 0.130137i
\(612\) 9.09948 + 0.868895i 0.367825 + 0.0351230i
\(613\) 22.3113 1.06282i 0.901146 0.0429269i 0.408107 0.912934i \(-0.366189\pi\)
0.493039 + 0.870007i \(0.335886\pi\)
\(614\) 14.0964 3.41976i 0.568886 0.138010i
\(615\) −3.32223 23.1066i −0.133965 0.931749i
\(616\) 0.315839 + 0.105354i 0.0127255 + 0.00424483i
\(617\) −31.2808 4.49750i −1.25932 0.181063i −0.519852 0.854256i \(-0.674013\pi\)
−0.739466 + 0.673193i \(0.764922\pi\)
\(618\) −14.8661 0.708157i −0.598000 0.0284863i
\(619\) −2.77168 + 0.534198i −0.111403 + 0.0214712i −0.244648 0.969612i \(-0.578672\pi\)
0.133245 + 0.991083i \(0.457460\pi\)
\(620\) 20.9503 + 12.0957i 0.841384 + 0.485774i
\(621\) 4.10652 2.47720i 0.164789 0.0994066i
\(622\) 40.8408i 1.63757i
\(623\) 28.5539 8.73388i 1.14399 0.349915i
\(624\) 3.83504 + 2.46463i 0.153525 + 0.0986643i
\(625\) −28.7961 + 11.5282i −1.15185 + 0.461129i
\(626\) −16.4548 23.1075i −0.657665 0.923562i
\(627\) −3.28226 1.31402i −0.131081 0.0524768i
\(628\) −0.952279 3.92535i −0.0380001 0.156638i
\(629\) 25.3933 + 39.5127i 1.01250 + 1.57547i
\(630\) −6.76316 + 12.0242i −0.269451 + 0.479054i
\(631\) −12.3251 41.9755i −0.490655 1.67102i −0.717081 0.696990i \(-0.754522\pi\)
0.226425 0.974029i \(-0.427296\pi\)
\(632\) −0.740454 + 3.84184i −0.0294537 + 0.152820i
\(633\) −14.0055 + 4.84736i −0.556670 + 0.192665i
\(634\) 5.90494 24.3405i 0.234515 0.966685i
\(635\) 5.10256 7.16554i 0.202489 0.284356i
\(636\) −8.78079 + 5.64307i −0.348181 + 0.223762i
\(637\) 6.23276 + 4.23051i 0.246951 + 0.167619i
\(638\) 7.90085 1.13597i 0.312798 0.0449735i
\(639\) 9.01778 0.861094i 0.356738 0.0340643i
\(640\) 4.12522 + 3.24411i 0.163063 + 0.128235i
\(641\) 3.07526 + 5.96517i 0.121465 + 0.235610i 0.941727 0.336379i \(-0.109202\pi\)
−0.820261 + 0.571989i \(0.806172\pi\)
\(642\) −1.17873 + 3.40571i −0.0465206 + 0.134413i
\(643\) −34.4437 −1.35833 −0.679163 0.733987i \(-0.737657\pi\)
−0.679163 + 0.733987i \(0.737657\pi\)
\(644\) 8.45705 + 22.2228i 0.333254 + 0.875703i
\(645\) 31.3502 1.23441
\(646\) −21.8889 + 63.2438i −0.861206 + 2.48829i
\(647\) 20.1800 + 39.1438i 0.793360 + 1.53890i 0.841621 + 0.540068i \(0.181602\pi\)
−0.0482616 + 0.998835i \(0.515368\pi\)
\(648\) 0.195030 + 0.153374i 0.00766152 + 0.00602508i
\(649\) −2.21419 + 0.211430i −0.0869146 + 0.00829934i
\(650\) 4.23152 0.608400i 0.165974 0.0238634i
\(651\) 8.33273 9.83771i 0.326586 0.385570i
\(652\) 38.2036 24.5520i 1.49617 0.961529i
\(653\) 14.0964 19.7956i 0.551633 0.774660i −0.440779 0.897616i \(-0.645298\pi\)
0.992412 + 0.122955i \(0.0392372\pi\)
\(654\) 1.54711 6.37727i 0.0604967 0.249371i
\(655\) −0.444993 + 0.154013i −0.0173873 + 0.00601780i
\(656\) 7.06447 36.6540i 0.275821 1.43110i
\(657\) −2.46533 8.39613i −0.0961815 0.327564i
\(658\) 19.4070 11.4973i 0.756565 0.448213i
\(659\) −17.5092 27.2449i −0.682063 1.06131i −0.993804 0.111144i \(-0.964548\pi\)
0.311741 0.950167i \(-0.399088\pi\)
\(660\) 0.593632 + 2.44698i 0.0231071 + 0.0952487i
\(661\) 16.3700 + 6.55356i 0.636719 + 0.254904i 0.667486 0.744623i \(-0.267371\pi\)
−0.0307664 + 0.999527i \(0.509795\pi\)
\(662\) −18.9384 26.5953i −0.736063 1.03366i
\(663\) −4.87322 + 1.95094i −0.189260 + 0.0757683i
\(664\) −0.922564 0.592896i −0.0358024 0.0230088i
\(665\) −35.7375 33.3171i −1.38584 1.29198i
\(666\) 18.9520i 0.734375i
\(667\) −28.2557 25.9247i −1.09407 1.00381i
\(668\) 22.5787 + 13.0358i 0.873595 + 0.504371i
\(669\) 5.52884 1.06560i 0.213757 0.0411983i
\(670\) 48.0005 + 2.28655i 1.85442 + 0.0883370i
\(671\) −5.45836 0.784794i −0.210718 0.0302966i
\(672\) −15.5259 + 13.7618i −0.598926 + 0.530872i
\(673\) 3.20820 + 22.3135i 0.123667 + 0.860122i 0.953346 + 0.301881i \(0.0976146\pi\)
−0.829679 + 0.558241i \(0.811476\pi\)
\(674\) −7.78965 + 1.88975i −0.300046 + 0.0727904i
\(675\) 2.01607 0.0960374i 0.0775987 0.00369648i
\(676\) −22.0906 2.10940i −0.849639 0.0811307i
\(677\) −35.7531 34.0906i −1.37410 1.31021i −0.903960 0.427617i \(-0.859353\pi\)
−0.470145 0.882589i \(-0.655798\pi\)
\(678\) −4.46947 + 5.15804i −0.171649 + 0.198093i
\(679\) −2.12156 0.178551i −0.0814179 0.00685217i
\(680\) −3.07639 + 0.903310i −0.117974 + 0.0346404i
\(681\) 1.95845 + 1.39460i 0.0750478 + 0.0534413i
\(682\) −0.231462 4.85898i −0.00886314 0.186060i
\(683\) 21.8548 20.8385i 0.836251 0.797363i −0.145135 0.989412i \(-0.546362\pi\)
0.981385 + 0.192048i \(0.0615131\pi\)
\(684\) 10.2680 8.07483i 0.392606 0.308749i
\(685\) 21.4992 + 9.81834i 0.821441 + 0.375139i
\(686\) −27.8776 + 23.4862i −1.06437 + 0.896707i
\(687\) 10.0854 15.6932i 0.384782 0.598732i
\(688\) 47.3734 + 16.3961i 1.80609 + 0.625095i
\(689\) 2.99699 5.19093i 0.114176 0.197759i
\(690\) 15.0780 19.9498i 0.574010 0.759475i
\(691\) 5.14676 2.97149i 0.195792 0.113041i −0.398899 0.916995i \(-0.630608\pi\)
0.594691 + 0.803954i \(0.297274\pi\)
\(692\) −7.98622 + 6.92010i −0.303590 + 0.263063i
\(693\) 1.33959 0.0789086i 0.0508868 0.00299749i
\(694\) −4.04185 + 28.1117i −0.153427 + 1.06711i
\(695\) −2.53385 26.5357i −0.0961144 1.00656i
\(696\) 0.737335 1.84177i 0.0279486 0.0698122i
\(697\) 29.6614 + 31.1080i 1.12351 + 1.17830i
\(698\) −9.27152 + 17.9842i −0.350932 + 0.680713i
\(699\) −4.01097 + 1.83175i −0.151709 + 0.0692831i
\(700\) −1.31275 + 9.92051i −0.0496173 + 0.374960i
\(701\) 13.7529 + 11.9169i 0.519439 + 0.450096i 0.874696 0.484672i \(-0.161061\pi\)
−0.355257 + 0.934769i \(0.615607\pi\)
\(702\) 2.07980 + 0.400848i 0.0784968 + 0.0151290i
\(703\) 65.2286 + 15.8243i 2.46014 + 0.596824i
\(704\) −0.335640 + 3.51498i −0.0126499 + 0.132476i
\(705\) −10.1999 5.25842i −0.384151 0.198044i
\(706\) −4.06054 + 13.8289i −0.152820 + 0.520458i
\(707\) 0.0544282 0.0138536i 0.00204698 0.000521016i
\(708\) 3.41389 7.47537i 0.128302 0.280942i
\(709\) 9.76168 + 24.3835i 0.366608 + 0.915742i 0.990906 + 0.134556i \(0.0429607\pi\)
−0.624298 + 0.781186i \(0.714615\pi\)
\(710\) 41.9842 21.6444i 1.57564 0.812299i
\(711\) 2.98433 + 15.4842i 0.111921 + 0.580703i
\(712\) −1.40010 2.42504i −0.0524708 0.0908822i
\(713\) −17.3645 + 15.6400i −0.650305 + 0.585722i
\(714\) −2.69854 25.2576i −0.100990 0.945242i
\(715\) −0.946904 1.09279i −0.0354122 0.0408679i
\(716\) 0.544555 11.4316i 0.0203510 0.427220i
\(717\) −2.88191 + 3.66465i −0.107627 + 0.136859i
\(718\) −11.4499 + 8.15347i −0.427308 + 0.304285i
\(719\) −11.6360 14.7963i −0.433948 0.551810i 0.519067 0.854734i \(-0.326280\pi\)
−0.953015 + 0.302924i \(0.902037\pi\)
\(720\) 10.7681 + 3.16180i 0.401303 + 0.117833i
\(721\) 3.06949 + 19.7691i 0.114314 + 0.736241i
\(722\) 24.1945 + 52.9786i 0.900427 + 1.97166i
\(723\) −19.5519 + 20.5055i −0.727144 + 0.762607i
\(724\) 9.52853 + 27.5309i 0.354125 + 1.02318i
\(725\) −5.27839 15.2509i −0.196035 0.566405i
\(726\) −14.5912 + 15.3028i −0.541530 + 0.567940i
\(727\) 0.156525 + 0.342741i 0.00580518 + 0.0127116i 0.912512 0.409049i \(-0.134140\pi\)
−0.906707 + 0.421761i \(0.861412\pi\)
\(728\) 0.255164 0.658728i 0.00945702 0.0244141i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −28.2054 35.8660i −1.04393 1.32746i
\(731\) −47.0204 + 33.4831i −1.73911 + 1.23842i
\(732\) 12.5947 16.0154i 0.465512 0.591947i
\(733\) 2.49293 52.3330i 0.0920785 1.93296i −0.206246 0.978500i \(-0.566125\pi\)
0.298325 0.954464i \(-0.403572\pi\)
\(734\) −41.5531 47.9548i −1.53375 1.77004i
\(735\) 17.6565 + 5.66997i 0.651269 + 0.209140i
\(736\) 31.2411 20.9356i 1.15156 0.771695i
\(737\) −2.33716 4.04809i −0.0860905 0.149113i
\(738\) −3.28229 17.0301i −0.120823 0.626888i
\(739\) 33.7828 17.4162i 1.24272 0.640667i 0.293705 0.955896i \(-0.405112\pi\)
0.949016 + 0.315229i \(0.102081\pi\)
\(740\) −17.7665 44.3784i −0.653108 1.63138i
\(741\) −3.11619 + 6.82350i −0.114476 + 0.250668i
\(742\) 20.2505 + 20.7658i 0.743420 + 0.762337i
\(743\) −1.40401 + 4.78163i −0.0515083 + 0.175421i −0.981230 0.192842i \(-0.938229\pi\)
0.929721 + 0.368264i \(0.120048\pi\)
\(744\) −1.07463 0.554009i −0.0393978 0.0203110i
\(745\) −4.27129 + 44.7310i −0.156488 + 1.63882i
\(746\) 24.0459 + 5.83347i 0.880383 + 0.213579i
\(747\) −4.34009 0.836484i −0.158796 0.0306054i
\(748\) −3.50381 3.03607i −0.128112 0.111010i
\(749\) 4.80262 + 0.635516i 0.175484 + 0.0232212i
\(750\) −14.1421 + 6.45850i −0.516398 + 0.235831i
\(751\) 1.42169 2.75770i 0.0518783 0.100630i −0.861471 0.507807i \(-0.830456\pi\)
0.913349 + 0.407177i \(0.133487\pi\)
\(752\) −12.6630 13.2805i −0.461771 0.484291i
\(753\) 4.30985 10.7655i 0.157060 0.392316i
\(754\) −1.60985 16.8591i −0.0586273 0.613973i
\(755\) 2.58119 17.9526i 0.0939391 0.653361i
\(756\) −2.22222 + 4.43208i −0.0808212 + 0.161193i
\(757\) 35.1461 30.4543i 1.27741 1.10688i 0.288636 0.957439i \(-0.406798\pi\)
0.988771 0.149440i \(-0.0477471\pi\)
\(758\) 12.9665 7.48620i 0.470964 0.271911i
\(759\) −2.42540 0.184693i −0.0880365 0.00670394i
\(760\) −2.29095 + 3.96804i −0.0831015 + 0.143936i
\(761\) −43.2805 14.9795i −1.56892 0.543007i −0.602088 0.798430i \(-0.705664\pi\)
−0.966830 + 0.255423i \(0.917785\pi\)
\(762\) 3.53334 5.49798i 0.127999 0.199171i
\(763\) −8.81532 0.320691i −0.319136 0.0116098i
\(764\) −0.00159332 0.000727645i −5.76443e−5 2.63253e-5i
\(765\) −10.1578 + 7.98821i −0.367257 + 0.288814i
\(766\) −42.5346 + 40.5566i −1.53684 + 1.46537i
\(767\) 0.224552 + 4.71393i 0.00810811 + 0.170210i
\(768\) 14.5178 + 10.3381i 0.523865 + 0.373043i
\(769\) 43.4091 12.7461i 1.56537 0.459635i 0.619723 0.784820i \(-0.287245\pi\)
0.945650 + 0.325185i \(0.105427\pi\)
\(770\) 6.33173 2.97804i 0.228180 0.107321i
\(771\) 10.9523 12.6396i 0.394437 0.455205i
\(772\) 15.3180 + 14.6057i 0.551306 + 0.525669i
\(773\) 19.4781 + 1.85993i 0.700577 +