Properties

Label 224.2.bd.a.37.15
Level $224$
Weight $2$
Character 224.37
Analytic conductor $1.789$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.bd (of order \(24\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 37.15
Character \(\chi\) \(=\) 224.37
Dual form 224.2.bd.a.109.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0713999 + 1.41241i) q^{2} +(0.118403 - 0.154306i) q^{3} +(-1.98980 + 0.201692i) q^{4} +(2.39583 - 1.83839i) q^{5} +(0.226398 + 0.156217i) q^{6} +(1.47323 - 2.19764i) q^{7} +(-0.426943 - 2.79602i) q^{8} +(0.766666 + 2.86124i) q^{9} +O(q^{10})\) \(q+(0.0713999 + 1.41241i) q^{2} +(0.118403 - 0.154306i) q^{3} +(-1.98980 + 0.201692i) q^{4} +(2.39583 - 1.83839i) q^{5} +(0.226398 + 0.156217i) q^{6} +(1.47323 - 2.19764i) q^{7} +(-0.426943 - 2.79602i) q^{8} +(0.766666 + 2.86124i) q^{9} +(2.76762 + 3.25263i) q^{10} +(5.43183 - 0.715114i) q^{11} +(-0.204477 + 0.330920i) q^{12} +(-5.50652 + 2.28087i) q^{13} +(3.20915 + 1.92389i) q^{14} -0.587363i q^{15} +(3.91864 - 0.802655i) q^{16} +(-3.70249 + 2.13763i) q^{17} +(-3.98650 + 1.28714i) q^{18} +(0.183696 - 1.39531i) q^{19} +(-4.39645 + 4.14125i) q^{20} +(-0.164674 - 0.487536i) q^{21} +(1.39787 + 7.62091i) q^{22} +(-0.326660 - 1.21911i) q^{23} +(-0.481995 - 0.265178i) q^{24} +(1.06625 - 3.97929i) q^{25} +(-3.61470 - 7.61461i) q^{26} +(1.07136 + 0.443773i) q^{27} +(-2.48819 + 4.67000i) q^{28} +(0.497218 + 1.20039i) q^{29} +(0.829598 - 0.0419377i) q^{30} +(-0.251275 - 0.435222i) q^{31} +(1.41347 + 5.47742i) q^{32} +(0.532801 - 0.922838i) q^{33} +(-3.28357 - 5.07681i) q^{34} +(-0.510497 - 7.97352i) q^{35} +(-2.10260 - 5.53867i) q^{36} +(5.39866 - 4.14254i) q^{37} +(1.98386 + 0.159829i) q^{38} +(-0.300037 + 1.11975i) q^{39} +(-6.16304 - 5.91390i) q^{40} +(-3.02206 + 3.02206i) q^{41} +(0.676843 - 0.267397i) q^{42} +(-3.49881 + 8.44689i) q^{43} +(-10.6640 + 2.51849i) q^{44} +(7.09686 + 5.44561i) q^{45} +(1.69856 - 0.548423i) q^{46} +(-7.99998 - 4.61879i) q^{47} +(0.340126 - 0.699708i) q^{48} +(-2.65920 - 6.47523i) q^{49} +(5.69652 + 1.22186i) q^{50} +(-0.108537 + 0.824421i) q^{51} +(10.4969 - 5.64911i) q^{52} +(-7.09730 + 0.934377i) q^{53} +(-0.550295 + 1.54489i) q^{54} +(11.6991 - 11.6991i) q^{55} +(-6.77361 - 3.18091i) q^{56} +(-0.193554 - 0.193554i) q^{57} +(-1.65994 + 0.787983i) q^{58} +(0.00968333 + 0.0735522i) q^{59} +(0.118466 + 1.16874i) q^{60} +(9.08657 + 1.19627i) q^{61} +(0.596771 - 0.385979i) q^{62} +(7.41743 + 2.53040i) q^{63} +(-7.63544 + 2.38748i) q^{64} +(-8.99956 + 15.5877i) q^{65} +(1.34147 + 0.686643i) q^{66} +(0.469449 - 0.611798i) q^{67} +(6.93609 - 5.00024i) q^{68} +(-0.226794 - 0.0939414i) q^{69} +(11.2254 - 1.29034i) q^{70} +(-7.84105 - 7.84105i) q^{71} +(7.67275 - 3.36520i) q^{72} +(-6.92569 - 1.85573i) q^{73} +(6.23643 + 7.32935i) q^{74} +(-0.487783 - 0.635691i) q^{75} +(-0.0840962 + 2.81344i) q^{76} +(6.43076 - 12.9907i) q^{77} +(-1.60297 - 0.343825i) q^{78} +(-0.877666 - 0.506720i) q^{79} +(7.91281 - 9.12700i) q^{80} +(-7.50061 + 4.33048i) q^{81} +(-4.48416 - 4.05261i) q^{82} +(-6.18602 + 2.56233i) q^{83} +(0.426001 + 0.936888i) q^{84} +(-4.94075 + 11.9280i) q^{85} +(-12.1803 - 4.33865i) q^{86} +(0.244100 + 0.0654064i) q^{87} +(-4.31856 - 14.8822i) q^{88} +(-13.9937 + 3.74960i) q^{89} +(-7.18472 + 10.4125i) q^{90} +(-3.09982 + 15.4616i) q^{91} +(0.895875 + 2.35991i) q^{92} +(-0.0969094 - 0.0127584i) q^{93} +(5.95243 - 11.6290i) q^{94} +(-2.12501 - 3.68062i) q^{95} +(1.01256 + 0.430438i) q^{96} +0.451869 q^{97} +(8.95582 - 4.21821i) q^{98} +(6.21051 + 14.9935i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} + O(q^{10}) \) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0713999 + 1.41241i 0.0504874 + 0.998725i
\(3\) 0.118403 0.154306i 0.0683603 0.0890888i −0.757922 0.652346i \(-0.773785\pi\)
0.826282 + 0.563257i \(0.190452\pi\)
\(4\) −1.98980 + 0.201692i −0.994902 + 0.100846i
\(5\) 2.39583 1.83839i 1.07145 0.822151i 0.0867170 0.996233i \(-0.472362\pi\)
0.984731 + 0.174082i \(0.0556958\pi\)
\(6\) 0.226398 + 0.156217i 0.0924265 + 0.0637752i
\(7\) 1.47323 2.19764i 0.556828 0.830628i
\(8\) −0.426943 2.79602i −0.150947 0.988542i
\(9\) 0.766666 + 2.86124i 0.255555 + 0.953746i
\(10\) 2.76762 + 3.25263i 0.875197 + 1.02857i
\(11\) 5.43183 0.715114i 1.63776 0.215615i 0.745295 0.666735i \(-0.232309\pi\)
0.892464 + 0.451120i \(0.148975\pi\)
\(12\) −0.204477 + 0.330920i −0.0590275 + 0.0955285i
\(13\) −5.50652 + 2.28087i −1.52723 + 0.632601i −0.979025 0.203741i \(-0.934690\pi\)
−0.548209 + 0.836342i \(0.684690\pi\)
\(14\) 3.20915 + 1.92389i 0.857681 + 0.514181i
\(15\) 0.587363i 0.151657i
\(16\) 3.91864 0.802655i 0.979660 0.200664i
\(17\) −3.70249 + 2.13763i −0.897986 + 0.518453i −0.876546 0.481318i \(-0.840158\pi\)
−0.0214399 + 0.999770i \(0.506825\pi\)
\(18\) −3.98650 + 1.28714i −0.939627 + 0.303382i
\(19\) 0.183696 1.39531i 0.0421427 0.320105i −0.957369 0.288867i \(-0.906722\pi\)
0.999512 0.0312385i \(-0.00994513\pi\)
\(20\) −4.39645 + 4.14125i −0.983075 + 0.926011i
\(21\) −0.164674 0.487536i −0.0359348 0.106389i
\(22\) 1.39787 + 7.62091i 0.298026 + 1.62478i
\(23\) −0.326660 1.21911i −0.0681133 0.254202i 0.923470 0.383670i \(-0.125340\pi\)
−0.991584 + 0.129467i \(0.958673\pi\)
\(24\) −0.481995 0.265178i −0.0983868 0.0541293i
\(25\) 1.06625 3.97929i 0.213250 0.795859i
\(26\) −3.61470 7.61461i −0.708900 1.49335i
\(27\) 1.07136 + 0.443773i 0.206184 + 0.0854042i
\(28\) −2.48819 + 4.67000i −0.470224 + 0.882547i
\(29\) 0.497218 + 1.20039i 0.0923310 + 0.222907i 0.963298 0.268435i \(-0.0865065\pi\)
−0.870967 + 0.491342i \(0.836507\pi\)
\(30\) 0.829598 0.0419377i 0.151463 0.00765674i
\(31\) −0.251275 0.435222i −0.0451304 0.0781682i 0.842578 0.538575i \(-0.181037\pi\)
−0.887708 + 0.460406i \(0.847704\pi\)
\(32\) 1.41347 + 5.47742i 0.249868 + 0.968280i
\(33\) 0.532801 0.922838i 0.0927487 0.160646i
\(34\) −3.28357 5.07681i −0.563128 0.870666i
\(35\) −0.510497 7.97352i −0.0862897 1.34777i
\(36\) −2.10260 5.53867i −0.350434 0.923112i
\(37\) 5.39866 4.14254i 0.887535 0.681029i −0.0608517 0.998147i \(-0.519382\pi\)
0.948386 + 0.317118i \(0.102715\pi\)
\(38\) 1.98386 + 0.159829i 0.321825 + 0.0259276i
\(39\) −0.300037 + 1.11975i −0.0480444 + 0.179304i
\(40\) −6.16304 5.91390i −0.974463 0.935070i
\(41\) −3.02206 + 3.02206i −0.471966 + 0.471966i −0.902550 0.430584i \(-0.858308\pi\)
0.430584 + 0.902550i \(0.358308\pi\)
\(42\) 0.676843 0.267397i 0.104439 0.0412603i
\(43\) −3.49881 + 8.44689i −0.533564 + 1.28814i 0.395584 + 0.918430i \(0.370542\pi\)
−0.929148 + 0.369708i \(0.879458\pi\)
\(44\) −10.6640 + 2.51849i −1.60767 + 0.379677i
\(45\) 7.09686 + 5.44561i 1.05794 + 0.811784i
\(46\) 1.69856 0.548423i 0.250439 0.0808605i
\(47\) −7.99998 4.61879i −1.16692 0.673720i −0.213965 0.976841i \(-0.568638\pi\)
−0.952952 + 0.303121i \(0.901971\pi\)
\(48\) 0.340126 0.699708i 0.0490929 0.100994i
\(49\) −2.65920 6.47523i −0.379886 0.925033i
\(50\) 5.69652 + 1.22186i 0.805610 + 0.172797i
\(51\) −0.108537 + 0.824421i −0.0151982 + 0.115442i
\(52\) 10.4969 5.64911i 1.45565 0.783391i
\(53\) −7.09730 + 0.934377i −0.974889 + 0.128347i −0.601106 0.799169i \(-0.705273\pi\)
−0.373783 + 0.927516i \(0.621940\pi\)
\(54\) −0.550295 + 1.54489i −0.0748856 + 0.210233i
\(55\) 11.6991 11.6991i 1.57751 1.57751i
\(56\) −6.77361 3.18091i −0.905162 0.425066i
\(57\) −0.193554 0.193554i −0.0256369 0.0256369i
\(58\) −1.65994 + 0.787983i −0.217961 + 0.103467i
\(59\) 0.00968333 + 0.0735522i 0.00126066 + 0.00957568i 0.992064 0.125737i \(-0.0401295\pi\)
−0.990803 + 0.135313i \(0.956796\pi\)
\(60\) 0.118466 + 1.16874i 0.0152939 + 0.150883i
\(61\) 9.08657 + 1.19627i 1.16342 + 0.153167i 0.687406 0.726273i \(-0.258749\pi\)
0.476010 + 0.879440i \(0.342083\pi\)
\(62\) 0.596771 0.385979i 0.0757900 0.0490194i
\(63\) 7.41743 + 2.53040i 0.934508 + 0.318800i
\(64\) −7.63544 + 2.38748i −0.954430 + 0.298435i
\(65\) −8.99956 + 15.5877i −1.11626 + 1.93342i
\(66\) 1.34147 + 0.686643i 0.165123 + 0.0845199i
\(67\) 0.469449 0.611798i 0.0573523 0.0747430i −0.763796 0.645457i \(-0.776667\pi\)
0.821149 + 0.570714i \(0.193334\pi\)
\(68\) 6.93609 5.00024i 0.841124 0.606368i
\(69\) −0.226794 0.0939414i −0.0273028 0.0113092i
\(70\) 11.2254 1.29034i 1.34170 0.154225i
\(71\) −7.84105 7.84105i −0.930561 0.930561i 0.0671798 0.997741i \(-0.478600\pi\)
−0.997741 + 0.0671798i \(0.978600\pi\)
\(72\) 7.67275 3.36520i 0.904242 0.396592i
\(73\) −6.92569 1.85573i −0.810591 0.217197i −0.170362 0.985382i \(-0.554494\pi\)
−0.640229 + 0.768184i \(0.721160\pi\)
\(74\) 6.23643 + 7.32935i 0.724970 + 0.852019i
\(75\) −0.487783 0.635691i −0.0563243 0.0734033i
\(76\) −0.0840962 + 2.81344i −0.00964650 + 0.322723i
\(77\) 6.43076 12.9907i 0.732854 1.48043i
\(78\) −1.60297 0.343825i −0.181501 0.0389305i
\(79\) −0.877666 0.506720i −0.0987451 0.0570105i 0.449814 0.893122i \(-0.351490\pi\)
−0.548559 + 0.836112i \(0.684824\pi\)
\(80\) 7.91281 9.12700i 0.884679 1.02043i
\(81\) −7.50061 + 4.33048i −0.833402 + 0.481165i
\(82\) −4.48416 4.05261i −0.495193 0.447536i
\(83\) −6.18602 + 2.56233i −0.679004 + 0.281253i −0.695411 0.718613i \(-0.744777\pi\)
0.0164063 + 0.999865i \(0.494777\pi\)
\(84\) 0.426001 + 0.936888i 0.0464805 + 0.102223i
\(85\) −4.94075 + 11.9280i −0.535899 + 1.29378i
\(86\) −12.1803 4.33865i −1.31343 0.467849i
\(87\) 0.244100 + 0.0654064i 0.0261703 + 0.00701231i
\(88\) −4.31856 14.8822i −0.460360 1.58645i
\(89\) −13.9937 + 3.74960i −1.48333 + 0.397456i −0.907478 0.420100i \(-0.861995\pi\)
−0.575849 + 0.817556i \(0.695328\pi\)
\(90\) −7.18472 + 10.4125i −0.757336 + 1.09757i
\(91\) −3.09982 + 15.4616i −0.324950 + 1.62081i
\(92\) 0.895875 + 2.35991i 0.0934014 + 0.246038i
\(93\) −0.0969094 0.0127584i −0.0100490 0.00132298i
\(94\) 5.95243 11.6290i 0.613946 1.19944i
\(95\) −2.12501 3.68062i −0.218021 0.377624i
\(96\) 1.01256 + 0.430438i 0.103344 + 0.0439314i
\(97\) 0.451869 0.0458804 0.0229402 0.999737i \(-0.492697\pi\)
0.0229402 + 0.999737i \(0.492697\pi\)
\(98\) 8.95582 4.21821i 0.904674 0.426104i
\(99\) 6.21051 + 14.9935i 0.624180 + 1.50690i
\(100\) −1.31903 + 8.13307i −0.131903 + 0.813307i
\(101\) 0.453155 + 3.44206i 0.0450906 + 0.342497i 0.999089 + 0.0426844i \(0.0135910\pi\)
−0.953998 + 0.299813i \(0.903076\pi\)
\(102\) −1.17217 0.0944353i −0.116062 0.00935049i
\(103\) 8.80466 2.35920i 0.867549 0.232459i 0.202522 0.979278i \(-0.435086\pi\)
0.665028 + 0.746819i \(0.268420\pi\)
\(104\) 8.72834 + 14.4225i 0.855884 + 1.41424i
\(105\) −1.29081 0.865320i −0.125970 0.0844466i
\(106\) −1.82647 9.95758i −0.177402 0.967166i
\(107\) 7.67351 + 10.0003i 0.741826 + 0.966766i 1.00000 0.000667722i \(0.000212542\pi\)
−0.258174 + 0.966098i \(0.583121\pi\)
\(108\) −2.22131 0.666937i −0.213746 0.0641760i
\(109\) 11.0120 + 8.44984i 1.05476 + 0.809348i 0.982166 0.188014i \(-0.0602049\pi\)
0.0725963 + 0.997361i \(0.476872\pi\)
\(110\) 17.3592 + 15.6886i 1.65514 + 1.49585i
\(111\) 1.32354i 0.125625i
\(112\) 4.00911 9.79424i 0.378825 0.925468i
\(113\) 0.0684958i 0.00644354i 0.999995 + 0.00322177i \(0.00102552\pi\)
−0.999995 + 0.00322177i \(0.998974\pi\)
\(114\) 0.259559 0.287198i 0.0243099 0.0268986i
\(115\) −3.02382 2.32026i −0.281973 0.216365i
\(116\) −1.23147 2.28826i −0.114340 0.212459i
\(117\) −10.7478 14.0068i −0.993633 1.29493i
\(118\) −0.103194 + 0.0189284i −0.00949982 + 0.00174250i
\(119\) −0.756872 + 11.2859i −0.0693823 + 1.03458i
\(120\) −1.64228 + 0.250771i −0.149919 + 0.0228921i
\(121\) 18.3682 4.92175i 1.66984 0.447432i
\(122\) −1.04084 + 12.9194i −0.0942335 + 1.16967i
\(123\) 0.108501 + 0.824145i 0.00978318 + 0.0743107i
\(124\) 0.587770 + 0.815326i 0.0527833 + 0.0732184i
\(125\) 1.01736 + 2.45613i 0.0909957 + 0.219683i
\(126\) −3.04436 + 10.6571i −0.271213 + 0.949412i
\(127\) −6.18288 −0.548642 −0.274321 0.961638i \(-0.588453\pi\)
−0.274321 + 0.961638i \(0.588453\pi\)
\(128\) −3.91728 10.6139i −0.346242 0.938145i
\(129\) 0.889137 + 1.54003i 0.0782841 + 0.135592i
\(130\) −22.6588 11.5981i −1.98731 1.01722i
\(131\) 8.65291 + 1.13918i 0.756009 + 0.0995304i 0.498671 0.866791i \(-0.333822\pi\)
0.257337 + 0.966322i \(0.417155\pi\)
\(132\) −0.874040 + 1.94373i −0.0760755 + 0.169180i
\(133\) −2.79575 2.45930i −0.242422 0.213248i
\(134\) 0.897628 + 0.619372i 0.0775432 + 0.0535056i
\(135\) 3.38263 0.906374i 0.291131 0.0780082i
\(136\) 7.55762 + 9.43959i 0.648061 + 0.809438i
\(137\) 11.1426 + 2.98566i 0.951980 + 0.255082i 0.701202 0.712962i \(-0.252647\pi\)
0.250778 + 0.968045i \(0.419314\pi\)
\(138\) 0.116491 0.327034i 0.00991634 0.0278390i
\(139\) 6.81777 16.4595i 0.578275 1.39608i −0.316084 0.948731i \(-0.602368\pi\)
0.894359 0.447349i \(-0.147632\pi\)
\(140\) 2.62398 + 15.7628i 0.221767 + 1.33220i
\(141\) −1.65993 + 0.687567i −0.139792 + 0.0579036i
\(142\) 10.5149 11.6346i 0.882393 0.976356i
\(143\) −28.2794 + 16.3271i −2.36484 + 1.36534i
\(144\) 5.30087 + 10.5968i 0.441739 + 0.883066i
\(145\) 3.39803 + 1.96185i 0.282191 + 0.162923i
\(146\) 2.12656 9.91441i 0.175996 0.820523i
\(147\) −1.31403 0.356358i −0.108379 0.0293919i
\(148\) −9.90676 + 9.33171i −0.814331 + 0.767062i
\(149\) 7.52295 + 9.80409i 0.616304 + 0.803183i 0.992355 0.123416i \(-0.0393850\pi\)
−0.376051 + 0.926599i \(0.622718\pi\)
\(150\) 0.863029 0.734338i 0.0704660 0.0599584i
\(151\) −6.48936 1.73882i −0.528097 0.141503i −0.0150875 0.999886i \(-0.504803\pi\)
−0.513009 + 0.858383i \(0.671469\pi\)
\(152\) −3.97973 + 0.0821008i −0.322799 + 0.00665925i
\(153\) −8.95485 8.95485i −0.723957 0.723957i
\(154\) 18.8074 + 8.15534i 1.51554 + 0.657176i
\(155\) −1.40212 0.580777i −0.112621 0.0466491i
\(156\) 0.371170 2.28861i 0.0297174 0.183235i
\(157\) 0.632229 0.823937i 0.0504574 0.0657573i −0.767443 0.641117i \(-0.778471\pi\)
0.817900 + 0.575360i \(0.195138\pi\)
\(158\) 0.653032 1.27580i 0.0519524 0.101497i
\(159\) −0.696164 + 1.20579i −0.0552094 + 0.0956255i
\(160\) 13.4560 + 10.5245i 1.06379 + 0.832032i
\(161\) −3.16041 1.07815i −0.249075 0.0849701i
\(162\) −6.65196 10.2847i −0.522627 0.808046i
\(163\) 2.67408 + 0.352050i 0.209450 + 0.0275747i 0.234521 0.972111i \(-0.424648\pi\)
−0.0250708 + 0.999686i \(0.507981\pi\)
\(164\) 5.40378 6.62283i 0.421964 0.517156i
\(165\) −0.420032 3.19046i −0.0326994 0.248377i
\(166\) −4.06075 8.55425i −0.315175 0.663939i
\(167\) 4.37579 + 4.37579i 0.338609 + 0.338609i 0.855843 0.517235i \(-0.173039\pi\)
−0.517235 + 0.855843i \(0.673039\pi\)
\(168\) −1.29285 + 0.668582i −0.0997458 + 0.0515822i
\(169\) 15.9270 15.9270i 1.22515 1.22515i
\(170\) −17.2000 6.12670i −1.31918 0.469897i
\(171\) 4.13313 0.544137i 0.316069 0.0416112i
\(172\) 5.25829 17.5133i 0.400941 1.33538i
\(173\) 0.198608 1.50858i 0.0150999 0.114695i −0.982235 0.187655i \(-0.939911\pi\)
0.997335 + 0.0729600i \(0.0232446\pi\)
\(174\) −0.0749520 + 0.349439i −0.00568209 + 0.0264909i
\(175\) −7.17421 8.20563i −0.542319 0.620287i
\(176\) 20.7114 7.16216i 1.56118 0.539868i
\(177\) 0.0124961 + 0.00721463i 0.000939265 + 0.000542285i
\(178\) −6.29511 19.4971i −0.471839 1.46137i
\(179\) −17.8811 13.7206i −1.33650 1.02553i −0.996368 0.0851496i \(-0.972863\pi\)
−0.340127 0.940379i \(-0.610470\pi\)
\(180\) −15.2197 9.40432i −1.13441 0.700957i
\(181\) 6.77001 16.3442i 0.503211 1.21486i −0.444515 0.895772i \(-0.646624\pi\)
0.947726 0.319087i \(-0.103376\pi\)
\(182\) −22.0594 3.27427i −1.63515 0.242705i
\(183\) 1.26047 1.26047i 0.0931769 0.0931769i
\(184\) −3.26919 + 1.43384i −0.241008 + 0.105704i
\(185\) 5.31870 19.8496i 0.391038 1.45937i
\(186\) 0.0111007 0.137787i 0.000813944 0.0101030i
\(187\) −18.5827 + 14.2590i −1.35890 + 1.04272i
\(188\) 16.8500 + 7.57696i 1.22891 + 0.552607i
\(189\) 2.55361 1.70069i 0.185748 0.123707i
\(190\) 5.04682 3.26418i 0.366135 0.236808i
\(191\) 10.0442 17.3971i 0.726772 1.25881i −0.231468 0.972843i \(-0.574353\pi\)
0.958240 0.285964i \(-0.0923139\pi\)
\(192\) −0.535658 + 1.46088i −0.0386578 + 0.105430i
\(193\) 8.76441 + 15.1804i 0.630876 + 1.09271i 0.987373 + 0.158413i \(0.0506376\pi\)
−0.356497 + 0.934296i \(0.616029\pi\)
\(194\) 0.0322634 + 0.638225i 0.00231638 + 0.0458219i
\(195\) 1.33970 + 3.23433i 0.0959380 + 0.231615i
\(196\) 6.59729 + 12.3481i 0.471235 + 0.882008i
\(197\) −8.32147 3.44687i −0.592880 0.245579i 0.0660089 0.997819i \(-0.478973\pi\)
−0.658889 + 0.752240i \(0.728973\pi\)
\(198\) −20.7335 + 9.84232i −1.47347 + 0.699463i
\(199\) −2.15738 + 8.05144i −0.152932 + 0.570751i 0.846341 + 0.532641i \(0.178800\pi\)
−0.999274 + 0.0381102i \(0.987866\pi\)
\(200\) −11.5814 1.28232i −0.818929 0.0906735i
\(201\) −0.0388199 0.144878i −0.00273815 0.0102189i
\(202\) −4.82924 + 0.885804i −0.339784 + 0.0623249i
\(203\) 3.37053 + 0.675744i 0.236565 + 0.0474279i
\(204\) 0.0496885 1.66233i 0.00347889 0.116386i
\(205\) −1.68463 + 12.7960i −0.117660 + 0.893715i
\(206\) 3.96081 + 12.2673i 0.275963 + 0.854707i
\(207\) 3.23773 1.86930i 0.225038 0.129926i
\(208\) −19.7473 + 13.3578i −1.36923 + 0.926194i
\(209\) 7.71043i 0.533342i
\(210\) 1.13002 1.88494i 0.0779790 0.130073i
\(211\) −0.534006 + 0.221193i −0.0367625 + 0.0152275i −0.400989 0.916083i \(-0.631333\pi\)
0.364226 + 0.931310i \(0.381333\pi\)
\(212\) 13.9338 3.29070i 0.956976 0.226006i
\(213\) −2.13833 + 0.281517i −0.146516 + 0.0192892i
\(214\) −13.5766 + 11.5522i −0.928080 + 0.789689i
\(215\) 7.14607 + 26.6695i 0.487358 + 1.81884i
\(216\) 0.783387 3.18502i 0.0533027 0.216713i
\(217\) −1.32664 0.0889691i −0.0900585 0.00603961i
\(218\) −11.1484 + 16.1568i −0.755064 + 1.09428i
\(219\) −1.10638 + 0.848953i −0.0747620 + 0.0573669i
\(220\) −20.9193 + 25.6385i −1.41038 + 1.72855i
\(221\) 15.5122 20.2158i 1.04346 1.35986i
\(222\) 1.86938 0.0945006i 0.125465 0.00634246i
\(223\) −5.07246 −0.339677 −0.169839 0.985472i \(-0.554325\pi\)
−0.169839 + 0.985472i \(0.554325\pi\)
\(224\) 14.1197 + 4.96320i 0.943414 + 0.331617i
\(225\) 12.2032 0.813544
\(226\) −0.0967441 + 0.00489059i −0.00643532 + 0.000325317i
\(227\) 6.69399 8.72378i 0.444296 0.579018i −0.516496 0.856290i \(-0.672764\pi\)
0.960791 + 0.277272i \(0.0894304\pi\)
\(228\) 0.424174 + 0.346097i 0.0280916 + 0.0229208i
\(229\) 12.5005 9.59199i 0.826058 0.633856i −0.106728 0.994288i \(-0.534037\pi\)
0.932786 + 0.360432i \(0.117371\pi\)
\(230\) 3.06126 4.43654i 0.201853 0.292537i
\(231\) −1.24312 2.53045i −0.0817916 0.166492i
\(232\) 3.14403 1.90273i 0.206416 0.124920i
\(233\) −3.50730 13.0894i −0.229771 0.857516i −0.980437 0.196834i \(-0.936934\pi\)
0.750666 0.660682i \(-0.229733\pi\)
\(234\) 19.0159 16.1804i 1.24311 1.05774i
\(235\) −27.6577 + 3.64121i −1.80419 + 0.237526i
\(236\) −0.0341028 0.144401i −0.00221990 0.00939973i
\(237\) −0.182109 + 0.0754319i −0.0118292 + 0.00489983i
\(238\) −15.9944 0.263198i −1.03676 0.0170606i
\(239\) 5.02121i 0.324795i 0.986725 + 0.162397i \(0.0519227\pi\)
−0.986725 + 0.162397i \(0.948077\pi\)
\(240\) −0.471450 2.30167i −0.0304320 0.148572i
\(241\) −20.7477 + 11.9787i −1.33648 + 0.771615i −0.986283 0.165062i \(-0.947218\pi\)
−0.350194 + 0.936677i \(0.613884\pi\)
\(242\) 8.26302 + 25.5920i 0.531167 + 1.64512i
\(243\) −0.673966 + 5.11928i −0.0432349 + 0.328402i
\(244\) −18.3218 0.547655i −1.17293 0.0350600i
\(245\) −18.2750 10.6249i −1.16755 0.678802i
\(246\) −1.15628 + 0.212091i −0.0737220 + 0.0135225i
\(247\) 2.17100 + 8.10227i 0.138137 + 0.515535i
\(248\) −1.10961 + 0.888386i −0.0704602 + 0.0564126i
\(249\) −0.337062 + 1.25793i −0.0213604 + 0.0797182i
\(250\) −3.39642 + 1.61230i −0.214809 + 0.101971i
\(251\) 15.8433 + 6.56249i 1.00002 + 0.414221i 0.821803 0.569771i \(-0.192968\pi\)
0.178214 + 0.983992i \(0.442968\pi\)
\(252\) −15.2696 3.53897i −0.961894 0.222934i
\(253\) −2.64617 6.38841i −0.166363 0.401636i
\(254\) −0.441457 8.73276i −0.0276995 0.547942i
\(255\) 1.25557 + 2.17471i 0.0786267 + 0.136185i
\(256\) 14.7115 6.29063i 0.919468 0.393164i
\(257\) 1.21717 2.10820i 0.0759249 0.131506i −0.825563 0.564310i \(-0.809142\pi\)
0.901488 + 0.432804i \(0.142476\pi\)
\(258\) −2.11167 + 1.36578i −0.131467 + 0.0850300i
\(259\) −1.15033 17.9672i −0.0714782 1.11643i
\(260\) 14.7634 32.8316i 0.915590 2.03613i
\(261\) −3.05340 + 2.34296i −0.189001 + 0.145025i
\(262\) −0.991169 + 12.3028i −0.0612346 + 0.760069i
\(263\) 7.18443 26.8126i 0.443011 1.65334i −0.278125 0.960545i \(-0.589713\pi\)
0.721136 0.692794i \(-0.243620\pi\)
\(264\) −2.80775 1.09572i −0.172805 0.0674370i
\(265\) −15.2862 + 15.2862i −0.939023 + 0.939023i
\(266\) 3.27392 4.12434i 0.200737 0.252879i
\(267\) −1.07831 + 2.60328i −0.0659917 + 0.159318i
\(268\) −0.810717 + 1.31204i −0.0495224 + 0.0801457i
\(269\) −7.77004 5.96216i −0.473747 0.363519i 0.344120 0.938926i \(-0.388177\pi\)
−0.817868 + 0.575406i \(0.804844\pi\)
\(270\) 1.52169 + 4.71295i 0.0926072 + 0.286821i
\(271\) 23.9839 + 13.8471i 1.45692 + 0.841152i 0.998858 0.0477701i \(-0.0152115\pi\)
0.458059 + 0.888922i \(0.348545\pi\)
\(272\) −12.7930 + 11.3484i −0.775687 + 0.688101i
\(273\) 2.01879 + 2.30903i 0.122183 + 0.139749i
\(274\) −3.42139 + 15.9512i −0.206694 + 0.963644i
\(275\) 2.94603 22.3773i 0.177652 1.34940i
\(276\) 0.470224 + 0.141182i 0.0283041 + 0.00849817i
\(277\) 1.11886 0.147300i 0.0672256 0.00885042i −0.0968384 0.995300i \(-0.530873\pi\)
0.164064 + 0.986450i \(0.447540\pi\)
\(278\) 23.7344 + 8.45427i 1.42350 + 0.507054i
\(279\) 1.05263 1.05263i 0.0630192 0.0630192i
\(280\) −22.0762 + 4.83160i −1.31930 + 0.288743i
\(281\) 6.68419 + 6.68419i 0.398746 + 0.398746i 0.877790 0.479045i \(-0.159017\pi\)
−0.479045 + 0.877790i \(0.659017\pi\)
\(282\) −1.08965 2.29542i −0.0648875 0.136690i
\(283\) −2.81117 21.3530i −0.167107 1.26930i −0.845250 0.534372i \(-0.820548\pi\)
0.678143 0.734930i \(-0.262785\pi\)
\(284\) 17.1836 + 14.0207i 1.01966 + 0.831974i
\(285\) −0.819552 0.107896i −0.0485460 0.00639121i
\(286\) −25.0797 38.7763i −1.48300 2.29289i
\(287\) 2.18920 + 11.0936i 0.129225 + 0.654832i
\(288\) −14.5885 + 8.24362i −0.859637 + 0.485760i
\(289\) 0.638965 1.10672i 0.0375862 0.0651012i
\(290\) −2.52832 + 4.93949i −0.148468 + 0.290057i
\(291\) 0.0535029 0.0697263i 0.00313639 0.00408743i
\(292\) 14.1551 + 2.29569i 0.828362 + 0.134345i
\(293\) −11.8675 4.91570i −0.693309 0.287178i 0.00806883 0.999967i \(-0.497432\pi\)
−0.701378 + 0.712789i \(0.747432\pi\)
\(294\) 0.409503 1.88139i 0.0238827 0.109725i
\(295\) 0.158417 + 0.158417i 0.00922339 + 0.00922339i
\(296\) −13.8875 13.3261i −0.807197 0.774565i
\(297\) 6.13682 + 1.64435i 0.356094 + 0.0954151i
\(298\) −13.3103 + 11.3255i −0.771043 + 0.656068i
\(299\) 4.57940 + 5.96799i 0.264834 + 0.345138i
\(300\) 1.09881 + 1.16652i 0.0634396 + 0.0673490i
\(301\) 13.4086 + 20.1333i 0.772860 + 1.16046i
\(302\) 1.99259 9.28979i 0.114660 0.534567i
\(303\) 0.584787 + 0.337627i 0.0335951 + 0.0193961i
\(304\) −0.400112 5.61515i −0.0229480 0.322051i
\(305\) 23.9691 13.8386i 1.37247 0.792394i
\(306\) 12.0085 13.2873i 0.686483 0.759584i
\(307\) 18.8697 7.81608i 1.07695 0.446087i 0.227512 0.973775i \(-0.426941\pi\)
0.849438 + 0.527688i \(0.176941\pi\)
\(308\) −10.1758 + 27.1460i −0.579822 + 1.54679i
\(309\) 0.678463 1.63795i 0.0385964 0.0931799i
\(310\) 0.720184 2.02183i 0.0409037 0.114832i
\(311\) 2.85627 + 0.765335i 0.161964 + 0.0433981i 0.338890 0.940826i \(-0.389949\pi\)
−0.176926 + 0.984224i \(0.556615\pi\)
\(312\) 3.25895 + 0.360838i 0.184502 + 0.0204284i
\(313\) 26.9261 7.21483i 1.52195 0.407806i 0.601569 0.798821i \(-0.294542\pi\)
0.920384 + 0.391015i \(0.127876\pi\)
\(314\) 1.20888 + 0.834137i 0.0682209 + 0.0470731i
\(315\) 22.4228 7.57368i 1.26338 0.426729i
\(316\) 1.84858 + 0.831256i 0.103991 + 0.0467618i
\(317\) −32.5474 4.28495i −1.82805 0.240667i −0.863457 0.504422i \(-0.831705\pi\)
−0.964590 + 0.263756i \(0.915039\pi\)
\(318\) −1.75278 0.897176i −0.0982910 0.0503111i
\(319\) 3.55922 + 6.16475i 0.199278 + 0.345160i
\(320\) −13.9041 + 19.7569i −0.777263 + 1.10444i
\(321\) 2.45168 0.136839
\(322\) 1.29714 4.54077i 0.0722866 0.253047i
\(323\) 2.30252 + 5.55878i 0.128116 + 0.309299i
\(324\) 14.0513 10.1296i 0.780629 0.562757i
\(325\) 3.20495 + 24.3440i 0.177779 + 1.35036i
\(326\) −0.306309 + 3.80204i −0.0169649 + 0.210575i
\(327\) 2.60773 0.698739i 0.144208 0.0386403i
\(328\) 9.73998 + 7.15948i 0.537800 + 0.395316i
\(329\) −21.9362 + 10.7765i −1.20938 + 0.594128i
\(330\) 4.47624 0.821055i 0.246409 0.0451976i
\(331\) 3.65442 + 4.76253i 0.200865 + 0.261772i 0.882915 0.469534i \(-0.155578\pi\)
−0.682050 + 0.731306i \(0.738911\pi\)
\(332\) 11.7922 6.34621i 0.647180 0.348294i
\(333\) 15.9918 + 12.2709i 0.876343 + 0.672441i
\(334\) −5.86797 + 6.49284i −0.321081 + 0.355272i
\(335\) 2.32879i 0.127236i
\(336\) −1.03662 1.77830i −0.0565523 0.0970143i
\(337\) 8.26077i 0.449993i 0.974360 + 0.224996i \(0.0722370\pi\)
−0.974360 + 0.224996i \(0.927763\pi\)
\(338\) 23.6326 + 21.3582i 1.28544 + 1.16173i
\(339\) 0.0105693 + 0.00811014i 0.000574048 + 0.000440482i
\(340\) 7.42533 24.7309i 0.402695 1.34122i
\(341\) −1.67612 2.18436i −0.0907670 0.118290i
\(342\) 1.06365 + 5.79883i 0.0575156 + 0.313565i
\(343\) −18.1478 3.69554i −0.979890 0.199540i
\(344\) 25.1114 + 6.17641i 1.35392 + 0.333010i
\(345\) −0.716062 + 0.191868i −0.0385515 + 0.0103298i
\(346\) 2.14491 + 0.172804i 0.115311 + 0.00929000i
\(347\) 3.23389 + 24.5639i 0.173605 + 1.31866i 0.827240 + 0.561848i \(0.189910\pi\)
−0.653636 + 0.756809i \(0.726757\pi\)
\(348\) −0.498903 0.0809130i −0.0267440 0.00433739i
\(349\) 7.17014 + 17.3102i 0.383809 + 0.926596i 0.991222 + 0.132210i \(0.0422073\pi\)
−0.607413 + 0.794386i \(0.707793\pi\)
\(350\) 11.0775 10.7188i 0.592116 0.572944i
\(351\) −6.91168 −0.368918
\(352\) 11.5947 + 28.7416i 0.618000 + 1.53193i
\(353\) −1.24335 2.15355i −0.0661769 0.114622i 0.831039 0.556215i \(-0.187747\pi\)
−0.897215 + 0.441593i \(0.854413\pi\)
\(354\) −0.00929780 + 0.0181648i −0.000494172 + 0.000965446i
\(355\) −33.2007 4.37095i −1.76211 0.231986i
\(356\) 27.0884 10.2834i 1.43568 0.545018i
\(357\) 1.65188 + 1.45309i 0.0874266 + 0.0769054i
\(358\) 18.1025 26.2351i 0.956745 1.38657i
\(359\) −16.1733 + 4.33362i −0.853594 + 0.228720i −0.658980 0.752160i \(-0.729012\pi\)
−0.194614 + 0.980880i \(0.562345\pi\)
\(360\) 12.1961 22.1679i 0.642789 1.16835i
\(361\) 16.4395 + 4.40494i 0.865234 + 0.231839i
\(362\) 23.5682 + 8.39505i 1.23871 + 0.441234i
\(363\) 1.41540 3.41709i 0.0742894 0.179350i
\(364\) 3.04957 31.3907i 0.159841 1.64532i
\(365\) −20.0043 + 8.28607i −1.04707 + 0.433712i
\(366\) 1.87030 + 1.69031i 0.0977623 + 0.0883538i
\(367\) −6.07154 + 3.50540i −0.316932 + 0.182981i −0.650024 0.759914i \(-0.725241\pi\)
0.333092 + 0.942894i \(0.391908\pi\)
\(368\) −2.25859 4.51507i −0.117737 0.235364i
\(369\) −10.9637 6.32991i −0.570749 0.329522i
\(370\) 28.4156 + 6.09492i 1.47726 + 0.316860i
\(371\) −8.40252 + 16.9738i −0.436237 + 0.881237i
\(372\) 0.195404 + 0.00584081i 0.0101312 + 0.000302832i
\(373\) 10.9932 + 14.3266i 0.569207 + 0.741805i 0.985917 0.167234i \(-0.0534836\pi\)
−0.416710 + 0.909039i \(0.636817\pi\)
\(374\) −21.4663 25.2282i −1.11000 1.30452i
\(375\) 0.499456 + 0.133829i 0.0257918 + 0.00691089i
\(376\) −9.49869 + 24.3401i −0.489857 + 1.25524i
\(377\) −5.47588 5.47588i −0.282022 0.282022i
\(378\) 2.58440 + 3.48532i 0.132927 + 0.179266i
\(379\) −3.29244 1.36377i −0.169121 0.0700523i 0.296516 0.955028i \(-0.404175\pi\)
−0.465638 + 0.884975i \(0.654175\pi\)
\(380\) 4.97070 + 6.89512i 0.254992 + 0.353712i
\(381\) −0.732074 + 0.954058i −0.0375053 + 0.0488779i
\(382\) 25.2889 + 12.9444i 1.29389 + 0.662292i
\(383\) −10.0023 + 17.3246i −0.511096 + 0.885244i 0.488821 + 0.872384i \(0.337427\pi\)
−0.999917 + 0.0128604i \(0.995906\pi\)
\(384\) −2.10161 0.652262i −0.107247 0.0332856i
\(385\) −8.47491 42.9458i −0.431922 2.18872i
\(386\) −20.8152 + 13.4628i −1.05946 + 0.685239i
\(387\) −26.8510 3.53500i −1.36491 0.179694i
\(388\) −0.899131 + 0.0911384i −0.0456465 + 0.00462685i
\(389\) −0.604023 4.58801i −0.0306252 0.232621i 0.969286 0.245936i \(-0.0790952\pi\)
−0.999911 + 0.0133142i \(0.995762\pi\)
\(390\) −4.47254 + 2.12314i −0.226476 + 0.107509i
\(391\) 3.81547 + 3.81547i 0.192957 + 0.192957i
\(392\) −16.9695 + 10.1997i −0.857091 + 0.515164i
\(393\) 1.20032 1.20032i 0.0605480 0.0605480i
\(394\) 4.27424 11.9994i 0.215333 0.604523i
\(395\) −3.03429 + 0.399471i −0.152671 + 0.0200996i
\(396\) −15.3818 28.5815i −0.772963 1.43628i
\(397\) 3.56041 27.0440i 0.178692 1.35730i −0.633425 0.773804i \(-0.718352\pi\)
0.812117 0.583495i \(-0.198315\pi\)
\(398\) −11.5260 2.47223i −0.577745 0.123922i
\(399\) −0.710512 + 0.140212i −0.0355701 + 0.00701940i
\(400\) 0.984246 16.4493i 0.0492123 0.822463i
\(401\) 1.09372 + 0.631459i 0.0546177 + 0.0315336i 0.527060 0.849828i \(-0.323294\pi\)
−0.472442 + 0.881362i \(0.656628\pi\)
\(402\) 0.201855 0.0651739i 0.0100676 0.00325058i
\(403\) 2.37634 + 1.82343i 0.118374 + 0.0908315i
\(404\) −1.59593 6.75762i −0.0794003 0.336204i
\(405\) −10.0091 + 24.1641i −0.497357 + 1.20072i
\(406\) −0.713772 + 4.80882i −0.0354239 + 0.238658i
\(407\) 26.3622 26.3622i 1.30673 1.30673i
\(408\) 2.35144 0.0485095i 0.116413 0.00240158i
\(409\) −2.26792 + 8.46400i −0.112142 + 0.418518i −0.999057 0.0434134i \(-0.986177\pi\)
0.886916 + 0.461931i \(0.152843\pi\)
\(410\) −18.1936 1.46575i −0.898515 0.0723884i
\(411\) 1.78003 1.36587i 0.0878026 0.0673733i
\(412\) −17.0437 + 6.47018i −0.839684 + 0.318763i
\(413\) 0.175907 + 0.0870787i 0.00865580 + 0.00428486i
\(414\) 2.87140 + 4.43953i 0.141121 + 0.218191i
\(415\) −10.1101 + 17.5112i −0.496286 + 0.859592i
\(416\) −20.2766 26.9376i −0.994142 1.32072i
\(417\) −1.73257 3.00089i −0.0848441 0.146954i
\(418\) 10.8903 0.550524i 0.532662 0.0269270i
\(419\) 0.789499 + 1.90602i 0.0385696 + 0.0931152i 0.941990 0.335640i \(-0.108952\pi\)
−0.903421 + 0.428755i \(0.858952\pi\)
\(420\) 2.74299 + 1.46147i 0.133844 + 0.0713125i
\(421\) 8.35055 + 3.45891i 0.406981 + 0.168577i 0.576776 0.816902i \(-0.304311\pi\)
−0.169795 + 0.985479i \(0.554311\pi\)
\(422\) −0.350543 0.738442i −0.0170641 0.0359468i
\(423\) 7.08214 26.4309i 0.344346 1.28512i
\(424\) 5.64268 + 19.4453i 0.274033 + 0.944345i
\(425\) 4.55850 + 17.0126i 0.221120 + 0.825230i
\(426\) −0.550293 3.00010i −0.0266618 0.145355i
\(427\) 16.0156 18.2066i 0.775047 0.881079i
\(428\) −17.2858 18.3510i −0.835538 0.887028i
\(429\) −0.829000 + 6.29688i −0.0400245 + 0.304016i
\(430\) −37.1580 + 11.9974i −1.79192 + 0.578565i
\(431\) 2.36261 1.36406i 0.113803 0.0657043i −0.442018 0.897006i \(-0.645737\pi\)
0.555821 + 0.831302i \(0.312404\pi\)
\(432\) 4.55449 + 0.879053i 0.219128 + 0.0422935i
\(433\) 23.1713i 1.11354i 0.830666 + 0.556771i \(0.187960\pi\)
−0.830666 + 0.556771i \(0.812040\pi\)
\(434\) 0.0309385 1.88012i 0.00148509 0.0902486i
\(435\) 0.705065 0.292047i 0.0338053 0.0140026i
\(436\) −23.6161 14.5925i −1.13101 0.698853i
\(437\) −1.76104 + 0.231845i −0.0842420 + 0.0110907i
\(438\) −1.27806 1.50204i −0.0610683 0.0717704i
\(439\) −4.54888 16.9766i −0.217106 0.810251i −0.985415 0.170171i \(-0.945568\pi\)
0.768308 0.640080i \(-0.221099\pi\)
\(440\) −37.7057 27.7160i −1.79755 1.32131i
\(441\) 16.4885 12.5729i 0.785165 0.598712i
\(442\) 29.6606 + 20.4661i 1.41081 + 0.973474i
\(443\) 5.38327 4.13073i 0.255767 0.196257i −0.472917 0.881107i \(-0.656799\pi\)
0.728684 + 0.684850i \(0.240132\pi\)
\(444\) 0.266947 + 2.63358i 0.0126687 + 0.124984i
\(445\) −26.6333 + 34.7092i −1.26254 + 1.64537i
\(446\) −0.362173 7.16440i −0.0171494 0.339244i
\(447\) 2.40358 0.113685
\(448\) −6.00192 + 20.2972i −0.283564 + 0.958953i
\(449\) 18.3637 0.866635 0.433318 0.901241i \(-0.357343\pi\)
0.433318 + 0.901241i \(0.357343\pi\)
\(450\) 0.871304 + 17.2359i 0.0410737 + 0.812506i
\(451\) −14.2542 + 18.5764i −0.671204 + 0.874730i
\(452\) −0.0138150 0.136293i −0.000649805 0.00641069i
\(453\) −1.03667 + 0.795468i −0.0487072 + 0.0373743i
\(454\) 12.7995 + 8.83178i 0.600710 + 0.414496i
\(455\) 20.9977 + 42.7420i 0.984386 + 2.00377i
\(456\) −0.458545 + 0.623819i −0.0214733 + 0.0292130i
\(457\) −6.02250 22.4763i −0.281720 1.05140i −0.951203 0.308567i \(-0.900151\pi\)
0.669482 0.742828i \(-0.266516\pi\)
\(458\) 14.4404 + 16.9710i 0.674753 + 0.793002i
\(459\) −4.91534 + 0.647117i −0.229428 + 0.0302048i
\(460\) 6.48479 + 4.00698i 0.302355 + 0.186826i
\(461\) −25.1245 + 10.4069i −1.17016 + 0.484698i −0.881247 0.472657i \(-0.843295\pi\)
−0.288917 + 0.957354i \(0.593295\pi\)
\(462\) 3.48528 1.93648i 0.162150 0.0900930i
\(463\) 11.5497i 0.536761i −0.963313 0.268381i \(-0.913512\pi\)
0.963313 0.268381i \(-0.0864885\pi\)
\(464\) 2.91192 + 4.30480i 0.135182 + 0.199845i
\(465\) −0.255633 + 0.147590i −0.0118547 + 0.00684432i
\(466\) 18.2372 5.88833i 0.844822 0.272772i
\(467\) 1.34169 10.1912i 0.0620861 0.471590i −0.931954 0.362576i \(-0.881897\pi\)
0.994040 0.109014i \(-0.0347694\pi\)
\(468\) 24.2110 + 25.7030i 1.11916 + 1.18812i
\(469\) −0.652903 1.93299i −0.0301483 0.0892574i
\(470\) −7.11764 38.8041i −0.328312 1.78990i
\(471\) −0.0522806 0.195114i −0.00240896 0.00899037i
\(472\) 0.201519 0.0584774i 0.00927566 0.00269164i
\(473\) −12.9645 + 48.3841i −0.596108 + 2.22470i
\(474\) −0.119543 0.251826i −0.00549081 0.0115668i
\(475\) −5.35647 2.21872i −0.245772 0.101802i
\(476\) −0.770258 22.6095i −0.0353047 1.03630i
\(477\) −8.11473 19.5907i −0.371548 0.896997i
\(478\) −7.09200 + 0.358514i −0.324381 + 0.0163980i
\(479\) −8.77291 15.1951i −0.400844 0.694283i 0.592984 0.805215i \(-0.297950\pi\)
−0.993828 + 0.110932i \(0.964617\pi\)
\(480\) 3.21723 0.830219i 0.146846 0.0378941i
\(481\) −20.2792 + 35.1246i −0.924653 + 1.60155i
\(482\) −18.4002 28.4490i −0.838106 1.29582i
\(483\) −0.540569 + 0.360015i −0.0245967 + 0.0163812i
\(484\) −35.5565 + 13.4980i −1.61620 + 0.613547i
\(485\) 1.08260 0.830710i 0.0491584 0.0377206i
\(486\) −7.27865 0.586400i −0.330166 0.0265997i
\(487\) −3.33054 + 12.4297i −0.150921 + 0.563245i 0.848499 + 0.529197i \(0.177507\pi\)
−0.999420 + 0.0340483i \(0.989160\pi\)
\(488\) −0.534660 25.9170i −0.0242029 1.17321i
\(489\) 0.370944 0.370944i 0.0167747 0.0167747i
\(490\) 13.7019 26.5704i 0.618990 1.20033i
\(491\) 15.2024 36.7019i 0.686076 1.65633i −0.0664663 0.997789i \(-0.521172\pi\)
0.752542 0.658544i \(-0.228828\pi\)
\(492\) −0.382119 1.61800i −0.0172272 0.0729452i
\(493\) −4.40694 3.38156i −0.198479 0.152298i
\(494\) −11.2887 + 3.64484i −0.507903 + 0.163989i
\(495\) 42.4432 + 24.5046i 1.90768 + 1.10140i
\(496\) −1.33399 1.50379i −0.0598980 0.0675222i
\(497\) −28.7834 + 5.68011i −1.29111 + 0.254788i
\(498\) −1.80078 0.386253i −0.0806950 0.0173084i
\(499\) 3.23014 24.5353i 0.144601 1.09835i −0.753150 0.657849i \(-0.771467\pi\)
0.897751 0.440504i \(-0.145200\pi\)
\(500\) −2.51973 4.68203i −0.112686 0.209387i
\(501\) 1.19332 0.157104i 0.0533136 0.00701887i
\(502\) −8.13772 + 22.8457i −0.363204 + 1.01965i
\(503\) −13.6066 + 13.6066i −0.606689 + 0.606689i −0.942079 0.335390i \(-0.891132\pi\)
0.335390 + 0.942079i \(0.391132\pi\)
\(504\) 3.90822 21.8196i 0.174086 0.971922i
\(505\) 7.41351 + 7.41351i 0.329897 + 0.329897i
\(506\) 8.83412 4.19361i 0.392725 0.186428i
\(507\) −0.571825 4.34344i −0.0253956 0.192899i
\(508\) 12.3027 1.24704i 0.545845 0.0553283i
\(509\) −24.1716 3.18225i −1.07139 0.141051i −0.425861 0.904789i \(-0.640029\pi\)
−0.645527 + 0.763738i \(0.723362\pi\)
\(510\) −2.98193 + 1.92865i −0.132042 + 0.0854021i
\(511\) −14.2813 + 12.4862i −0.631769 + 0.552358i
\(512\) 9.93535 + 20.3295i 0.439085 + 0.898446i
\(513\) 0.816005 1.41336i 0.0360275 0.0624014i
\(514\) 3.06455 + 1.56862i 0.135171 + 0.0691887i
\(515\) 16.7574 21.8386i 0.738418 0.962324i
\(516\) −2.07982 2.88503i −0.0915589 0.127006i
\(517\) −46.7575 19.3676i −2.05639 0.851786i
\(518\) 25.2949 2.90760i 1.11139 0.127752i
\(519\) −0.209268 0.209268i −0.00918583 0.00918583i
\(520\) 47.4258 + 18.5079i 2.07976 + 0.811624i
\(521\) 19.7383 + 5.28886i 0.864750 + 0.231709i 0.663816 0.747896i \(-0.268936\pi\)
0.200934 + 0.979605i \(0.435602\pi\)
\(522\) −3.52723 4.14537i −0.154383 0.181438i
\(523\) −21.5776 28.1205i −0.943525 1.22963i −0.973175 0.230065i \(-0.926106\pi\)
0.0296506 0.999560i \(-0.490561\pi\)
\(524\) −17.4474 0.521518i −0.762192 0.0227826i
\(525\) −2.11563 + 0.135451i −0.0923338 + 0.00591158i
\(526\) 38.3834 + 8.23294i 1.67360 + 0.358973i
\(527\) 1.86069 + 1.07427i 0.0810530 + 0.0467960i
\(528\) 1.34713 4.04393i 0.0586265 0.175989i
\(529\) 18.5391 10.7035i 0.806046 0.465371i
\(530\) −22.6818 20.4989i −0.985234 0.890417i
\(531\) −0.203026 + 0.0840963i −0.00881059 + 0.00364947i
\(532\) 6.05901 + 4.32964i 0.262692 + 0.187714i
\(533\) 9.74808 23.5340i 0.422236 1.01937i
\(534\) −3.75389 1.33715i −0.162447 0.0578640i
\(535\) 36.7688 + 9.85218i 1.58966 + 0.425947i
\(536\) −1.91103 1.05138i −0.0825438 0.0454129i
\(537\) −4.23437 + 1.13459i −0.182726 + 0.0489614i
\(538\) 7.86623 11.4002i 0.339137 0.491496i
\(539\) −19.0749 33.2707i −0.821613 1.43307i
\(540\) −6.54797 + 2.48576i −0.281780 + 0.106970i
\(541\) 9.81306 + 1.29191i 0.421896 + 0.0555437i 0.338486 0.940972i \(-0.390085\pi\)
0.0834107 + 0.996515i \(0.473419\pi\)
\(542\) −17.8453 + 34.8638i −0.766523 + 1.49753i
\(543\) −1.72043 2.97987i −0.0738307 0.127878i
\(544\) −16.9421 17.2586i −0.726385 0.739957i
\(545\) 41.9171 1.79553
\(546\) −3.11715 + 3.01622i −0.133402 + 0.129082i
\(547\) −2.30920 5.57491i −0.0987344 0.238366i 0.866793 0.498669i \(-0.166178\pi\)
−0.965527 + 0.260303i \(0.916178\pi\)
\(548\) −22.7739 3.69350i −0.972851 0.157779i
\(549\) 3.54356 + 26.9160i 0.151235 + 1.14875i
\(550\) 31.8163 + 2.56327i 1.35665 + 0.109298i
\(551\) 1.76625 0.473265i 0.0752447 0.0201618i
\(552\) −0.165833 + 0.674229i −0.00705834 + 0.0286971i
\(553\) −2.40659 + 1.18227i −0.102339 + 0.0502754i
\(554\) 0.287935 + 1.56977i 0.0122332 + 0.0666930i
\(555\) −2.43317 3.17098i −0.103283 0.134600i
\(556\) −10.2463 + 34.1264i −0.434538 + 1.44728i
\(557\) −26.1993 20.1034i −1.11010 0.851810i −0.120085 0.992764i \(-0.538317\pi\)
−0.990016 + 0.140953i \(0.954983\pi\)
\(558\) 1.56190 + 1.41159i 0.0661205 + 0.0597572i
\(559\) 54.4933i 2.30482i
\(560\) −8.40044 30.8356i −0.354983 1.30304i
\(561\) 4.55574i 0.192343i
\(562\) −8.96357 + 9.91807i −0.378105 + 0.418369i
\(563\) 33.6425 + 25.8148i 1.41786 + 1.08797i 0.982196 + 0.187858i \(0.0601543\pi\)
0.435668 + 0.900108i \(0.356512\pi\)
\(564\) 3.16427 1.70292i 0.133240 0.0717059i
\(565\) 0.125922 + 0.164104i 0.00529757 + 0.00690392i
\(566\) 29.9584 5.49512i 1.25925 0.230977i
\(567\) −1.53329 + 22.8634i −0.0643922 + 0.960172i
\(568\) −18.5760 + 25.2714i −0.779433 + 1.06036i
\(569\) −0.667826 + 0.178943i −0.0279967 + 0.00750170i −0.272790 0.962074i \(-0.587946\pi\)
0.244794 + 0.969575i \(0.421280\pi\)
\(570\) 0.0938775 1.16525i 0.00393210 0.0488068i
\(571\) −0.400155 3.03948i −0.0167460 0.127198i 0.981030 0.193856i \(-0.0620996\pi\)
−0.997776 + 0.0666583i \(0.978766\pi\)
\(572\) 52.9774 38.1915i 2.21510 1.59687i
\(573\) −1.49521 3.60975i −0.0624633 0.150800i
\(574\) −15.5123 + 3.88413i −0.647473 + 0.162120i
\(575\) −5.19951 −0.216834
\(576\) −12.6850 20.0164i −0.528541 0.834016i
\(577\) −23.0936 39.9993i −0.961399 1.66519i −0.718993 0.695017i \(-0.755397\pi\)
−0.242406 0.970175i \(-0.577936\pi\)
\(578\) 1.60876 + 0.823461i 0.0669158 + 0.0342515i
\(579\) 3.38017 + 0.445008i 0.140475 + 0.0184939i
\(580\) −7.15710 3.21835i −0.297183 0.133635i
\(581\) −3.48234 + 17.3695i −0.144472 + 0.720609i
\(582\) 0.102302 + 0.0705895i 0.00424056 + 0.00292603i
\(583\) −37.8832 + 10.1508i −1.56896 + 0.420402i
\(584\) −2.23179 + 20.1566i −0.0923519 + 0.834088i
\(585\) −51.4997 13.7993i −2.12925 0.570531i
\(586\) 6.09564 17.1128i 0.251809 0.706924i
\(587\) −0.997077 + 2.40716i −0.0411538 + 0.0993540i −0.943120 0.332453i \(-0.892124\pi\)
0.901966 + 0.431807i \(0.142124\pi\)
\(588\) 2.68653 + 0.444054i 0.110791 + 0.0183125i
\(589\) −0.653426 + 0.270658i −0.0269239 + 0.0111523i
\(590\) −0.212439 + 0.235061i −0.00874596 + 0.00967729i
\(591\) −1.51716 + 0.875935i −0.0624078 + 0.0360312i
\(592\) 17.8304 20.5664i 0.732824 0.845273i
\(593\) 19.2249 + 11.0995i 0.789473 + 0.455802i 0.839777 0.542932i \(-0.182686\pi\)
−0.0503042 + 0.998734i \(0.516019\pi\)
\(594\) −1.88434 + 8.78511i −0.0773152 + 0.360457i
\(595\) 18.9346 + 28.4306i 0.776243 + 1.16554i
\(596\) −16.9466 17.9909i −0.694160 0.736936i
\(597\) 0.986948 + 1.28622i 0.0403931 + 0.0526413i
\(598\) −8.10228 + 6.89411i −0.331327 + 0.281921i
\(599\) −19.3702 5.19023i −0.791446 0.212067i −0.159621 0.987178i \(-0.551027\pi\)
−0.631825 + 0.775111i \(0.717694\pi\)
\(600\) −1.56915 + 1.63525i −0.0640602 + 0.0667590i
\(601\) 17.5555 + 17.5555i 0.716102 + 0.716102i 0.967805 0.251703i \(-0.0809905\pi\)
−0.251703 + 0.967805i \(0.580991\pi\)
\(602\) −27.4791 + 20.3760i −1.11996 + 0.830463i
\(603\) 2.11041 + 0.874160i 0.0859425 + 0.0355985i
\(604\) 13.2633 + 2.15106i 0.539675 + 0.0875253i
\(605\) 34.9591 45.5596i 1.42129 1.85226i
\(606\) −0.435114 + 0.850065i −0.0176753 + 0.0345315i
\(607\) 15.1703 26.2757i 0.615742 1.06650i −0.374512 0.927222i \(-0.622190\pi\)
0.990254 0.139274i \(-0.0444768\pi\)
\(608\) 7.90232 0.966044i 0.320482 0.0391782i
\(609\) 0.503355 0.440084i 0.0203970 0.0178331i
\(610\) 21.2571 + 32.8661i 0.860676 + 1.33071i
\(611\) 54.5869 + 7.18651i 2.20835 + 0.290735i
\(612\) 19.6245 + 16.0123i 0.793274 + 0.647258i
\(613\) −0.908361 6.89968i −0.0366883 0.278676i −0.999949 0.0101071i \(-0.996783\pi\)
0.963261 0.268569i \(-0.0865506\pi\)
\(614\) 12.3868 + 26.0937i 0.499891 + 1.05305i
\(615\) 1.77505 + 1.77505i 0.0715768 + 0.0715768i
\(616\) −39.0678 12.4342i −1.57409 0.500990i
\(617\) 3.00134 3.00134i 0.120829 0.120829i −0.644106 0.764936i \(-0.722771\pi\)
0.764936 + 0.644106i \(0.222771\pi\)
\(618\) 2.36190 + 0.841318i 0.0950097 + 0.0338428i
\(619\) 0.367838 0.0484268i 0.0147847 0.00194644i −0.123130 0.992391i \(-0.539293\pi\)
0.137915 + 0.990444i \(0.455960\pi\)
\(620\) 2.90708 + 0.872836i 0.116751 + 0.0350539i
\(621\) 0.191038 1.45108i 0.00766608 0.0582297i
\(622\) −0.877029 + 4.08887i −0.0351657 + 0.163949i
\(623\) −12.3756 + 36.2770i −0.495819 + 1.45341i
\(624\) −0.276962 + 4.62874i −0.0110874 + 0.185298i
\(625\) 24.7914 + 14.3133i 0.991657 + 0.572534i
\(626\) 12.1128 + 37.5156i 0.484126 + 1.49942i
\(627\) −1.18977 0.912942i −0.0475148 0.0364594i
\(628\) −1.09183 + 1.76699i −0.0435688 + 0.0705105i
\(629\) −11.1333 + 26.8781i −0.443912 + 1.07170i
\(630\) 12.2981 + 31.1294i 0.489969 + 1.24022i
\(631\) −34.5848 + 34.5848i −1.37680 + 1.37680i −0.526830 + 0.849971i \(0.676619\pi\)
−0.849971 + 0.526830i \(0.823381\pi\)
\(632\) −1.04209 + 2.67031i −0.0414520 + 0.106219i
\(633\) −0.0290967 + 0.108591i −0.00115649 + 0.00431609i
\(634\) 3.72822 46.2763i 0.148067 1.83787i
\(635\) −14.8131 + 11.3665i −0.587841 + 0.451067i
\(636\) 1.14203 2.53970i 0.0452845 0.100706i
\(637\) 29.4121 + 29.5907i 1.16535 + 1.17243i
\(638\) −8.45302 + 5.46724i −0.334658 + 0.216450i
\(639\) 16.4236 28.4466i 0.649709 1.12533i
\(640\) −28.8976 18.2277i −1.14228 0.720511i
\(641\) 3.23073 + 5.59579i 0.127606 + 0.221021i 0.922749 0.385402i \(-0.125937\pi\)
−0.795142 + 0.606423i \(0.792604\pi\)
\(642\) 0.175050 + 3.46278i 0.00690866 + 0.136665i
\(643\) 2.82466 + 6.81934i 0.111394 + 0.268929i 0.969739 0.244144i \(-0.0785070\pi\)
−0.858345 + 0.513073i \(0.828507\pi\)
\(644\) 6.50605 + 1.50788i 0.256374 + 0.0594187i
\(645\) 4.96139 + 2.05508i 0.195355 + 0.0809185i
\(646\) −7.68688 + 3.64900i −0.302436 + 0.143568i
\(647\) −0.271500 + 1.01325i −0.0106738 + 0.0398351i −0.971057 0.238846i \(-0.923231\pi\)
0.960384 + 0.278682i \(0.0898974\pi\)
\(648\) 15.3104 + 19.1230i 0.601451 + 0.751222i
\(649\) 0.105196 + 0.392598i 0.00412932 + 0.0154108i
\(650\) −34.1549 + 6.26487i −1.33967 + 0.245728i
\(651\) −0.170808 + 0.194176i −0.00669449 + 0.00761034i
\(652\) −5.39191 0.161169i −0.211163 0.00631187i
\(653\) 1.71660 13.0389i 0.0671757 0.510250i −0.924470 0.381256i \(-0.875492\pi\)
0.991645 0.128994i \(-0.0411749\pi\)
\(654\) 1.17310 + 3.63329i 0.0458717 + 0.142073i
\(655\) 22.8252 13.1781i 0.891853 0.514912i
\(656\) −9.41669 + 14.2680i −0.367660 + 0.557073i
\(657\) 21.2388i 0.828603i
\(658\) −16.7871 30.2135i −0.654429 1.17784i
\(659\) −9.08982 + 3.76512i −0.354089 + 0.146668i −0.552636 0.833423i \(-0.686378\pi\)
0.198547 + 0.980091i \(0.436378\pi\)
\(660\) 1.47927 + 6.26367i 0.0575805 + 0.243813i
\(661\) 26.6893 3.51371i 1.03809 0.136668i 0.407837 0.913055i \(-0.366283\pi\)
0.630256 + 0.776387i \(0.282950\pi\)
\(662\) −6.46572 + 5.50158i −0.251297 + 0.213825i
\(663\) −1.28274 4.78725i −0.0498175 0.185921i
\(664\) 9.80542 + 16.2023i 0.380524 + 0.628770i
\(665\) −11.2193 0.752401i −0.435065 0.0291769i
\(666\) −16.1897 + 23.4631i −0.627340 + 0.909175i
\(667\) 1.30099 0.998284i 0.0503745 0.0386537i
\(668\) −9.58952 7.82440i −0.371030 0.302735i
\(669\) −0.600597 + 0.782713i −0.0232204 + 0.0302614i
\(670\) 3.28921 0.166276i 0.127073 0.00642379i
\(671\) 50.2122 1.93842
\(672\) 2.43768 1.59110i 0.0940354 0.0613782i
\(673\) −28.1530 −1.08522 −0.542609 0.839985i \(-0.682563\pi\)
−0.542609 + 0.839985i \(0.682563\pi\)
\(674\) −11.6676 + 0.589818i −0.449419 + 0.0227189i
\(675\) 2.90824 3.79010i 0.111938 0.145881i
\(676\) −28.4792 + 34.9039i −1.09535 + 1.34246i
\(677\) 20.6879 15.8744i 0.795102 0.610103i −0.129264 0.991610i \(-0.541261\pi\)
0.924366 + 0.381507i \(0.124595\pi\)
\(678\) −0.0107002 + 0.0155073i −0.000410938 + 0.000595554i
\(679\) 0.665706 0.993044i 0.0255475 0.0381095i
\(680\) 35.4604 + 8.72183i 1.35984 + 0.334467i
\(681\) −0.553543 2.06585i −0.0212118 0.0791636i
\(682\) 2.96554 2.52333i 0.113556 0.0966233i
\(683\) 3.51722 0.463050i 0.134583 0.0177181i −0.0629339 0.998018i \(-0.520046\pi\)
0.197516 + 0.980300i \(0.436712\pi\)
\(684\) −8.11438 + 1.91635i −0.310261 + 0.0732734i
\(685\) 32.1847 13.3313i 1.22971 0.509364i
\(686\) 3.92386 25.8960i 0.149814 0.988714i
\(687\) 3.06463i 0.116923i
\(688\) −6.93067 + 35.9087i −0.264229 + 1.36900i
\(689\) 36.9502 21.3332i 1.40769 0.812731i
\(690\) −0.322123 0.997673i −0.0122630 0.0379808i
\(691\) −0.159432 + 1.21101i −0.00606507 + 0.0460688i −0.994210 0.107457i \(-0.965729\pi\)
0.988145 + 0.153525i \(0.0490627\pi\)
\(692\) −0.0909233 + 3.04184i −0.00345639 + 0.115633i
\(693\) 42.0997 + 8.44040i 1.59924 + 0.320624i
\(694\) −34.4634 + 6.32144i −1.30821 + 0.239959i
\(695\) −13.9248 51.9680i −0.528197 1.97126i
\(696\) 0.0786606 0.710433i 0.00298162 0.0269289i
\(697\) 4.72909 17.6492i 0.179127 0.668511i
\(698\) −23.9372 + 11.3631i −0.906037 + 0.430101i
\(699\) −2.43506 1.00863i −0.0921023 0.0381500i
\(700\) 15.9303 + 14.8806i 0.602108 + 0.562434i
\(701\) 9.67092 + 23.3477i 0.365266 + 0.881830i 0.994512 + 0.104623i \(0.0333637\pi\)
−0.629246 + 0.777206i \(0.716636\pi\)
\(702\) −0.493493 9.76212i −0.0186257 0.368447i
\(703\) −4.78840 8.29375i −0.180598 0.312805i
\(704\) −39.7671 + 18.4286i −1.49878 + 0.694555i
\(705\) −2.71291 + 4.69890i −0.102174 + 0.176971i
\(706\) 2.95292 1.90988i 0.111134 0.0718794i
\(707\) 8.23199 + 4.07506i 0.309596 + 0.153259i
\(708\) −0.0263199 0.0118353i −0.000989164 0.000444799i
\(709\) −1.27025 + 0.974694i −0.0477051 + 0.0366054i −0.632339 0.774692i \(-0.717905\pi\)
0.584634 + 0.811297i \(0.301238\pi\)
\(710\) 3.80305 47.2051i 0.142726 1.77157i
\(711\) 0.776971 2.89969i 0.0291387 0.108747i
\(712\) 16.4584 + 37.5257i 0.616806 + 1.40634i
\(713\) −0.448503 + 0.448503i −0.0167966 + 0.0167966i
\(714\) −1.93441 + 2.43688i −0.0723934 + 0.0911979i
\(715\) −37.7371 + 91.1054i −1.41129 + 3.40715i
\(716\) 38.3472 + 23.6949i 1.43310 + 0.885521i
\(717\) 0.774804 + 0.594528i 0.0289356 + 0.0222031i
\(718\) −7.27563 22.5339i −0.271524 0.840958i
\(719\) −6.32208 3.65005i −0.235774 0.136124i 0.377459 0.926026i \(-0.376798\pi\)
−0.613233 + 0.789902i \(0.710131\pi\)
\(720\) 32.1810 + 15.6431i 1.19931 + 0.582983i
\(721\) 7.78661 22.8251i 0.289988 0.850050i
\(722\) −5.04780 + 23.5338i −0.187860 + 0.875836i
\(723\) −0.608211 + 4.61982i −0.0226196 + 0.171813i
\(724\) −10.1745 + 33.8873i −0.378132 + 1.25941i
\(725\) 5.30686 0.698662i 0.197092 0.0259476i
\(726\) 4.92739 + 1.75515i 0.182872 + 0.0651397i
\(727\) −15.9338 + 15.9338i −0.590952 + 0.590952i −0.937888 0.346937i \(-0.887222\pi\)
0.346937 + 0.937888i \(0.387222\pi\)
\(728\) 44.5543 + 2.06595i 1.65129 + 0.0765692i
\(729\) −17.6625 17.6625i −0.654168 0.654168i
\(730\) −13.1316 27.6627i −0.486023 1.02384i
\(731\) −5.10202 38.7537i −0.188705 1.43336i
\(732\) −2.25387 + 2.76232i −0.0833054 + 0.102098i
\(733\) 8.04946 + 1.05973i 0.297314 + 0.0391421i 0.277707 0.960666i \(-0.410425\pi\)
0.0196063 + 0.999808i \(0.493759\pi\)
\(734\) −5.38457 8.32521i −0.198748 0.307289i
\(735\) −3.80331 + 1.56192i −0.140287 + 0.0576122i
\(736\) 6.21586 3.51243i 0.229120 0.129470i
\(737\) 2.11246 3.65889i 0.0778135 0.134777i
\(738\) 8.15763 15.9372i 0.300286 0.586658i
\(739\) −24.1438 + 31.4648i −0.888143 + 1.15745i 0.0985941 + 0.995128i \(0.468565\pi\)
−0.986738 + 0.162323i \(0.948101\pi\)
\(740\) −6.57965 + 40.5696i −0.241873 + 1.49137i
\(741\) 1.50728 + 0.624338i 0.0553715 + 0.0229356i
\(742\) −24.5739 10.6559i −0.902138 0.391189i
\(743\) −33.9729 33.9729i −1.24634 1.24634i −0.957323 0.289020i \(-0.906671\pi\)
−0.289020 0.957323i \(-0.593329\pi\)
\(744\) 0.00570221 + 0.276408i 0.000209053 + 0.0101336i
\(745\) 36.0474 + 9.65887i 1.32067 + 0.353874i
\(746\) −19.4502 + 16.5498i −0.712121 + 0.605933i
\(747\) −12.0741 15.7352i −0.441767 0.575722i
\(748\) 34.0999 32.1205i 1.24682 1.17444i
\(749\) 33.2818 2.13084i 1.21609 0.0778591i
\(750\) −0.153360 + 0.714992i −0.00559992 + 0.0261078i
\(751\) 9.05161 + 5.22595i 0.330298 + 0.190698i 0.655973 0.754784i \(-0.272258\pi\)
−0.325675 + 0.945482i \(0.605592\pi\)
\(752\) −35.0564 11.6782i −1.27837 0.425859i
\(753\) 2.88853 1.66769i 0.105264 0.0607741i
\(754\) 7.34321 8.12516i 0.267424 0.295901i
\(755\) −18.7440 + 7.76403i −0.682165 + 0.282562i
\(756\) −4.73818 + 3.89908i −0.172326 + 0.141808i
\(757\) 2.64470 6.38487i 0.0961232 0.232062i −0.868503 0.495684i \(-0.834917\pi\)
0.964626 + 0.263622i \(0.0849173\pi\)
\(758\) 1.69113 4.74765i 0.0614245 0.172442i
\(759\) −1.29909 0.348090i −0.0471539 0.0126349i
\(760\) −9.38383 + 7.51298i −0.340387 + 0.272524i
\(761\) −43.3060 + 11.6038i −1.56984 + 0.420637i −0.935762 0.352632i \(-0.885287\pi\)
−0.634078 + 0.773269i \(0.718620\pi\)
\(762\) −1.39979 0.965870i −0.0507091 0.0349898i
\(763\) 34.7929 11.7519i 1.25959 0.425448i
\(764\) −16.4771 + 36.6426i −0.596122 + 1.32568i
\(765\) −37.9168 4.99184i −1.37088 0.180480i
\(766\) −25.1836 12.8904i −0.909919 0.465751i
\(767\) −0.221085 0.382930i −0.00798291 0.0138268i
\(768\) 0.771207 3.01491i 0.0278285 0.108791i
\(769\) −24.3333 −0.877480 −0.438740 0.898614i \(-0.644575\pi\)
−0.438740 + 0.898614i \(0.644575\pi\)
\(770\) 60.0519 15.0364i 2.16412 0.541873i
\(771\) −0.181191 0.437435i −0.00652545 0.0157538i
\(772\) −20.5012 28.4383i −0.737855