Properties

Label 403.2.bs.a.4.10
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bs (of order \(30\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.10
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.323679 + 1.52279i) q^{2} +(0.859963 + 0.955086i) q^{3} +(-0.387033 - 0.172318i) q^{4} +2.26589i q^{5} +(-1.73275 + 1.00040i) q^{6} +(-1.51411 + 3.40074i) q^{7} +(-1.44246 + 1.98538i) q^{8} +(0.140933 - 1.34089i) q^{9} +O(q^{10})\) \(q+(-0.323679 + 1.52279i) q^{2} +(0.859963 + 0.955086i) q^{3} +(-0.387033 - 0.172318i) q^{4} +2.26589i q^{5} +(-1.73275 + 1.00040i) q^{6} +(-1.51411 + 3.40074i) q^{7} +(-1.44246 + 1.98538i) q^{8} +(0.140933 - 1.34089i) q^{9} +(-3.45048 - 0.733422i) q^{10} +(4.01759 - 0.422266i) q^{11} +(-0.168255 - 0.517837i) q^{12} +(1.09913 - 3.43393i) q^{13} +(-4.68853 - 3.40642i) q^{14} +(-2.16412 + 1.94858i) q^{15} +(-3.12339 - 3.46888i) q^{16} +(0.487089 - 4.63434i) q^{17} +(1.99627 + 0.648629i) q^{18} +(-0.0685638 - 0.0617351i) q^{19} +(0.390454 - 0.876975i) q^{20} +(-4.55007 + 1.47841i) q^{21} +(-0.657388 + 6.25463i) q^{22} +(-4.76474 + 2.12140i) q^{23} +(-3.13667 + 0.329677i) q^{24} -0.134268 q^{25} +(4.87340 + 2.78525i) q^{26} +(4.52109 - 3.28477i) q^{27} +(1.17202 - 1.05529i) q^{28} +(9.74892 + 2.07220i) q^{29} +(-2.26680 - 3.92622i) q^{30} +(-3.29769 + 4.48612i) q^{31} +(2.04279 - 1.17940i) q^{32} +(3.85828 + 3.47401i) q^{33} +(6.89948 + 2.24178i) q^{34} +(-7.70571 - 3.43080i) q^{35} +(-0.285605 + 0.494682i) q^{36} +(-6.10868 - 3.52685i) q^{37} +(0.116202 - 0.0844259i) q^{38} +(4.22492 - 1.90329i) q^{39} +(-4.49865 - 3.26846i) q^{40} +(-0.271676 + 1.27814i) q^{41} +(-0.778543 - 7.40734i) q^{42} +(-5.54872 + 6.16248i) q^{43} +(-1.62770 - 0.528873i) q^{44} +(3.03831 + 0.319339i) q^{45} +(-1.68820 - 7.94235i) q^{46} +(3.82893 + 1.24409i) q^{47} +(0.627074 - 5.96621i) q^{48} +(-4.58860 - 5.09615i) q^{49} +(0.0434597 - 0.204462i) q^{50} +(4.84508 - 3.52015i) q^{51} +(-1.01713 + 1.13964i) q^{52} +(6.12079 + 4.44702i) q^{53} +(3.53863 + 7.94789i) q^{54} +(0.956809 + 9.10343i) q^{55} +(-4.56771 - 7.91151i) q^{56} -0.118574i q^{57} +(-6.31104 + 14.1748i) q^{58} +(-2.43158 - 11.4397i) q^{59} +(1.17336 - 0.381249i) q^{60} +(-3.88222 - 6.72419i) q^{61} +(-5.76403 - 6.47375i) q^{62} +(4.34662 + 2.50952i) q^{63} +(-1.75010 - 5.38626i) q^{64} +(7.78092 + 2.49052i) q^{65} +(-6.53904 + 4.75089i) q^{66} +(2.61241 + 1.50828i) q^{67} +(-0.987101 + 1.70971i) q^{68} +(-6.12361 - 2.72641i) q^{69} +(7.71857 - 10.6237i) q^{70} +(-5.03002 - 0.528676i) q^{71} +(2.45888 + 2.21399i) q^{72} +(4.19457 + 5.77333i) q^{73} +(7.34790 - 8.16067i) q^{74} +(-0.115465 - 0.128237i) q^{75} +(0.0158984 + 0.0357083i) q^{76} +(-4.64704 + 14.3021i) q^{77} +(1.53079 + 7.04972i) q^{78} +(5.89921 + 4.28603i) q^{79} +(7.86010 - 7.07726i) q^{80} +(3.06878 + 0.652289i) q^{81} +(-1.85840 - 0.827412i) q^{82} +(11.7123 - 3.80554i) q^{83} +(2.01579 + 0.211868i) q^{84} +(10.5009 + 1.10369i) q^{85} +(-7.58816 - 10.4442i) q^{86} +(6.40459 + 11.0931i) q^{87} +(-4.95686 + 8.58554i) q^{88} +(14.1486 - 1.48707i) q^{89} +(-1.46972 + 4.52334i) q^{90} +(10.0137 + 8.93722i) q^{91} +2.20966 q^{92} +(-7.12052 + 0.708326i) q^{93} +(-3.13384 + 5.42797i) q^{94} +(0.139885 - 0.155358i) q^{95} +(2.88315 + 0.936793i) q^{96} +(-2.94429 + 6.61299i) q^{97} +(9.24561 - 5.33795i) q^{98} -5.44665i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.323679 + 1.52279i −0.228876 + 1.07678i 0.702208 + 0.711971i \(0.252197\pi\)
−0.931084 + 0.364804i \(0.881136\pi\)
\(3\) 0.859963 + 0.955086i 0.496500 + 0.551419i 0.938358 0.345666i \(-0.112347\pi\)
−0.441858 + 0.897085i \(0.645680\pi\)
\(4\) −0.387033 0.172318i −0.193516 0.0861591i
\(5\) 2.26589i 1.01334i 0.862141 + 0.506669i \(0.169123\pi\)
−0.862141 + 0.506669i \(0.830877\pi\)
\(6\) −1.73275 + 1.00040i −0.707392 + 0.408413i
\(7\) −1.51411 + 3.40074i −0.572279 + 1.28536i 0.363113 + 0.931745i \(0.381714\pi\)
−0.935392 + 0.353614i \(0.884953\pi\)
\(8\) −1.44246 + 1.98538i −0.509987 + 0.701937i
\(9\) 0.140933 1.34089i 0.0469777 0.446963i
\(10\) −3.45048 0.733422i −1.09114 0.231928i
\(11\) 4.01759 0.422266i 1.21135 0.127318i 0.522766 0.852476i \(-0.324900\pi\)
0.688582 + 0.725158i \(0.258233\pi\)
\(12\) −0.168255 0.517837i −0.0485711 0.149487i
\(13\) 1.09913 3.43393i 0.304845 0.952402i
\(14\) −4.68853 3.40642i −1.25306 0.910403i
\(15\) −2.16412 + 1.94858i −0.558774 + 0.503122i
\(16\) −3.12339 3.46888i −0.780847 0.867219i
\(17\) 0.487089 4.63434i 0.118136 1.12399i −0.761440 0.648236i \(-0.775507\pi\)
0.879576 0.475758i \(-0.157826\pi\)
\(18\) 1.99627 + 0.648629i 0.470527 + 0.152883i
\(19\) −0.0685638 0.0617351i −0.0157296 0.0141630i 0.661228 0.750185i \(-0.270035\pi\)
−0.676958 + 0.736022i \(0.736702\pi\)
\(20\) 0.390454 0.876975i 0.0873082 0.196098i
\(21\) −4.55007 + 1.47841i −0.992908 + 0.322615i
\(22\) −0.657388 + 6.25463i −0.140156 + 1.33349i
\(23\) −4.76474 + 2.12140i −0.993516 + 0.442342i −0.838106 0.545508i \(-0.816337\pi\)
−0.155411 + 0.987850i \(0.549670\pi\)
\(24\) −3.13667 + 0.329677i −0.640270 + 0.0672951i
\(25\) −0.134268 −0.0268536
\(26\) 4.87340 + 2.78525i 0.955752 + 0.546232i
\(27\) 4.52109 3.28477i 0.870085 0.632154i
\(28\) 1.17202 1.05529i 0.221491 0.199431i
\(29\) 9.74892 + 2.07220i 1.81033 + 0.384797i 0.983968 0.178344i \(-0.0570739\pi\)
0.826361 + 0.563141i \(0.190407\pi\)
\(30\) −2.26680 3.92622i −0.413860 0.716827i
\(31\) −3.29769 + 4.48612i −0.592282 + 0.805731i
\(32\) 2.04279 1.17940i 0.361117 0.208491i
\(33\) 3.85828 + 3.47401i 0.671640 + 0.604748i
\(34\) 6.89948 + 2.24178i 1.18325 + 0.384461i
\(35\) −7.70571 3.43080i −1.30250 0.579912i
\(36\) −0.285605 + 0.494682i −0.0476008 + 0.0824471i
\(37\) −6.10868 3.52685i −1.00426 0.579810i −0.0947543 0.995501i \(-0.530207\pi\)
−0.909506 + 0.415691i \(0.863540\pi\)
\(38\) 0.116202 0.0844259i 0.0188505 0.0136957i
\(39\) 4.22492 1.90329i 0.676528 0.304770i
\(40\) −4.49865 3.26846i −0.711300 0.516789i
\(41\) −0.271676 + 1.27814i −0.0424287 + 0.199611i −0.994257 0.107021i \(-0.965869\pi\)
0.951828 + 0.306632i \(0.0992021\pi\)
\(42\) −0.778543 7.40734i −0.120132 1.14298i
\(43\) −5.54872 + 6.16248i −0.846172 + 0.939769i −0.998823 0.0485110i \(-0.984552\pi\)
0.152651 + 0.988280i \(0.451219\pi\)
\(44\) −1.62770 0.528873i −0.245385 0.0797306i
\(45\) 3.03831 + 0.319339i 0.452924 + 0.0476043i
\(46\) −1.68820 7.94235i −0.248911 1.17104i
\(47\) 3.82893 + 1.24409i 0.558506 + 0.181470i 0.574649 0.818400i \(-0.305139\pi\)
−0.0161426 + 0.999870i \(0.505139\pi\)
\(48\) 0.627074 5.96621i 0.0905103 0.861148i
\(49\) −4.58860 5.09615i −0.655514 0.728022i
\(50\) 0.0434597 0.204462i 0.00614613 0.0289153i
\(51\) 4.84508 3.52015i 0.678446 0.492920i
\(52\) −1.01713 + 1.13964i −0.141051 + 0.158040i
\(53\) 6.12079 + 4.44702i 0.840756 + 0.610845i 0.922582 0.385802i \(-0.126075\pi\)
−0.0818259 + 0.996647i \(0.526075\pi\)
\(54\) 3.53863 + 7.94789i 0.481546 + 1.08157i
\(55\) 0.956809 + 9.10343i 0.129016 + 1.22751i
\(56\) −4.56771 7.91151i −0.610387 1.05722i
\(57\) 0.118574i 0.0157055i
\(58\) −6.31104 + 14.1748i −0.828681 + 1.86125i
\(59\) −2.43158 11.4397i −0.316565 1.48932i −0.792516 0.609851i \(-0.791229\pi\)
0.475951 0.879472i \(-0.342104\pi\)
\(60\) 1.17336 0.381249i 0.151480 0.0492190i
\(61\) −3.88222 6.72419i −0.497067 0.860945i 0.502928 0.864329i \(-0.332256\pi\)
−0.999994 + 0.00338371i \(0.998923\pi\)
\(62\) −5.76403 6.47375i −0.732033 0.822167i
\(63\) 4.34662 + 2.50952i 0.547623 + 0.316170i
\(64\) −1.75010 5.38626i −0.218763 0.673283i
\(65\) 7.78092 + 2.49052i 0.965105 + 0.308911i
\(66\) −6.53904 + 4.75089i −0.804900 + 0.584794i
\(67\) 2.61241 + 1.50828i 0.319157 + 0.184265i 0.651017 0.759063i \(-0.274343\pi\)
−0.331860 + 0.943329i \(0.607676\pi\)
\(68\) −0.987101 + 1.70971i −0.119704 + 0.207333i
\(69\) −6.12361 2.72641i −0.737196 0.328221i
\(70\) 7.71857 10.6237i 0.922546 1.26978i
\(71\) −5.03002 0.528676i −0.596953 0.0627423i −0.198767 0.980047i \(-0.563694\pi\)
−0.398186 + 0.917305i \(0.630360\pi\)
\(72\) 2.45888 + 2.21399i 0.289782 + 0.260921i
\(73\) 4.19457 + 5.77333i 0.490937 + 0.675717i 0.980560 0.196217i \(-0.0628657\pi\)
−0.489623 + 0.871934i \(0.662866\pi\)
\(74\) 7.34790 8.16067i 0.854176 0.948659i
\(75\) −0.115465 0.128237i −0.0133328 0.0148076i
\(76\) 0.0158984 + 0.0357083i 0.00182367 + 0.00409602i
\(77\) −4.64704 + 14.3021i −0.529580 + 1.62988i
\(78\) 1.53079 + 7.04972i 0.173328 + 0.798224i
\(79\) 5.89921 + 4.28603i 0.663713 + 0.482216i 0.867915 0.496713i \(-0.165460\pi\)
−0.204202 + 0.978929i \(0.565460\pi\)
\(80\) 7.86010 7.07726i 0.878786 0.791262i
\(81\) 3.06878 + 0.652289i 0.340975 + 0.0724765i
\(82\) −1.85840 0.827412i −0.205226 0.0913723i
\(83\) 11.7123 3.80554i 1.28559 0.417712i 0.415042 0.909802i \(-0.363767\pi\)
0.870545 + 0.492090i \(0.163767\pi\)
\(84\) 2.01579 + 0.211868i 0.219940 + 0.0231166i
\(85\) 10.5009 + 1.10369i 1.13899 + 0.119712i
\(86\) −7.58816 10.4442i −0.818252 1.12623i
\(87\) 6.40459 + 11.0931i 0.686644 + 1.18930i
\(88\) −4.95686 + 8.58554i −0.528403 + 0.915222i
\(89\) 14.1486 1.48707i 1.49974 0.157629i 0.681210 0.732088i \(-0.261454\pi\)
0.818534 + 0.574458i \(0.194787\pi\)
\(90\) −1.46972 + 4.52334i −0.154922 + 0.476802i
\(91\) 10.0137 + 8.93722i 1.04972 + 0.936875i
\(92\) 2.20966 0.230373
\(93\) −7.12052 + 0.708326i −0.738363 + 0.0734499i
\(94\) −3.13384 + 5.42797i −0.323231 + 0.559852i
\(95\) 0.139885 0.155358i 0.0143519 0.0159394i
\(96\) 2.88315 + 0.936793i 0.294261 + 0.0956110i
\(97\) −2.94429 + 6.61299i −0.298948 + 0.671447i −0.999094 0.0425518i \(-0.986451\pi\)
0.700147 + 0.713999i \(0.253118\pi\)
\(98\) 9.24561 5.33795i 0.933947 0.539215i
\(99\) 5.44665i 0.547409i
\(100\) 0.0519661 + 0.0231368i 0.00519661 + 0.00231368i
\(101\) −5.86767 + 2.61246i −0.583855 + 0.259949i −0.677338 0.735672i \(-0.736867\pi\)
0.0934830 + 0.995621i \(0.470200\pi\)
\(102\) 3.79221 + 8.51744i 0.375484 + 0.843352i
\(103\) 1.72416 + 5.30642i 0.169886 + 0.522857i 0.999363 0.0356847i \(-0.0113612\pi\)
−0.829477 + 0.558541i \(0.811361\pi\)
\(104\) 5.23220 + 7.13552i 0.513059 + 0.699695i
\(105\) −3.34992 10.3100i −0.326918 1.00615i
\(106\) −8.75305 + 7.88128i −0.850171 + 0.765498i
\(107\) −7.78401 + 3.46567i −0.752509 + 0.335039i −0.746892 0.664946i \(-0.768455\pi\)
−0.00561724 + 0.999984i \(0.501788\pi\)
\(108\) −2.31584 + 0.492246i −0.222841 + 0.0473664i
\(109\) −12.2581 3.98290i −1.17411 0.381493i −0.343937 0.938993i \(-0.611761\pi\)
−0.830177 + 0.557500i \(0.811761\pi\)
\(110\) −14.1723 1.48957i −1.35128 0.142025i
\(111\) −1.88480 8.86727i −0.178897 0.841644i
\(112\) 16.5259 5.36959i 1.56155 0.507378i
\(113\) −8.00578 3.56440i −0.753120 0.335311i −0.00598446 0.999982i \(-0.501905\pi\)
−0.747136 + 0.664671i \(0.768572\pi\)
\(114\) 0.180564 + 0.0383800i 0.0169113 + 0.00359462i
\(115\) −4.80686 10.7964i −0.448242 1.00677i
\(116\) −3.41607 2.48192i −0.317175 0.230441i
\(117\) −4.44962 1.95777i −0.411367 0.180996i
\(118\) 18.2073 1.67612
\(119\) 15.0227 + 8.67336i 1.37713 + 0.795085i
\(120\) −0.747014 7.10736i −0.0681927 0.648810i
\(121\) 5.20309 1.10595i 0.473009 0.100541i
\(122\) 11.4961 3.73532i 1.04081 0.338180i
\(123\) −1.45436 + 0.839676i −0.131135 + 0.0757110i
\(124\) 2.04935 1.16802i 0.184037 0.104892i
\(125\) 11.0252i 0.986126i
\(126\) −5.22839 + 5.80672i −0.465782 + 0.517304i
\(127\) 3.61130 + 4.01076i 0.320451 + 0.355897i 0.881751 0.471716i \(-0.156365\pi\)
−0.561300 + 0.827613i \(0.689698\pi\)
\(128\) 13.4604 1.41474i 1.18974 0.125047i
\(129\) −10.6574 −0.938331
\(130\) −6.31107 + 11.0426i −0.553517 + 0.968499i
\(131\) 14.8864 10.8156i 1.30063 0.944961i 0.300665 0.953730i \(-0.402791\pi\)
0.999962 + 0.00876895i \(0.00279128\pi\)
\(132\) −0.894646 2.00941i −0.0778689 0.174896i
\(133\) 0.313758 0.139694i 0.0272063 0.0121130i
\(134\) −3.14238 + 3.48996i −0.271460 + 0.301487i
\(135\) 7.44293 + 10.2443i 0.640585 + 0.881690i
\(136\) 8.49832 + 7.65192i 0.728725 + 0.656147i
\(137\) −4.12909 19.4259i −0.352772 1.65966i −0.694220 0.719763i \(-0.744251\pi\)
0.341448 0.939901i \(-0.389083\pi\)
\(138\) 6.13384 8.44250i 0.522147 0.718673i
\(139\) −2.28250 + 0.485161i −0.193599 + 0.0411508i −0.303691 0.952771i \(-0.598219\pi\)
0.110091 + 0.993921i \(0.464886\pi\)
\(140\) 2.39117 + 2.65567i 0.202091 + 0.224445i
\(141\) 2.10452 + 4.72683i 0.177233 + 0.398071i
\(142\) 2.43318 7.48854i 0.204188 0.628425i
\(143\) 2.96584 14.2603i 0.248016 1.19250i
\(144\) −5.09156 + 3.69924i −0.424297 + 0.308270i
\(145\) −4.69537 + 22.0900i −0.389930 + 1.83447i
\(146\) −10.1493 + 4.51874i −0.839959 + 0.373974i
\(147\) 0.921240 8.76501i 0.0759826 0.722926i
\(148\) 1.75652 + 2.41764i 0.144385 + 0.198729i
\(149\) 15.0179 8.67059i 1.23031 0.710322i 0.263219 0.964736i \(-0.415216\pi\)
0.967095 + 0.254414i \(0.0818825\pi\)
\(150\) 0.232652 0.134322i 0.0189960 0.0109673i
\(151\) −10.9319 15.0465i −0.889625 1.22446i −0.973661 0.228001i \(-0.926781\pi\)
0.0840364 0.996463i \(-0.473219\pi\)
\(152\) 0.221468 0.0470745i 0.0179634 0.00381825i
\(153\) −6.14549 1.30626i −0.496833 0.105605i
\(154\) −20.2750 11.7058i −1.63381 0.943279i
\(155\) −10.1651 7.47220i −0.816478 0.600181i
\(156\) −1.96315 + 0.00860530i −0.157178 + 0.000688975i
\(157\) −3.15322 9.70461i −0.251654 0.774512i −0.994470 0.105017i \(-0.966510\pi\)
0.742816 0.669495i \(-0.233490\pi\)
\(158\) −8.43618 + 7.59597i −0.671146 + 0.604303i
\(159\) 1.01637 + 9.67016i 0.0806037 + 0.766893i
\(160\) 2.67240 + 4.62873i 0.211272 + 0.365934i
\(161\) 19.4156i 1.53017i
\(162\) −1.98660 + 4.46197i −0.156082 + 0.350566i
\(163\) −3.65123 0.383760i −0.285986 0.0300584i −0.0395509 0.999218i \(-0.512593\pi\)
−0.246436 + 0.969159i \(0.579259\pi\)
\(164\) 0.325393 0.447866i 0.0254090 0.0349724i
\(165\) −7.87173 + 8.74245i −0.612814 + 0.680598i
\(166\) 2.00403 + 19.0671i 0.155543 + 1.47989i
\(167\) −4.52715 + 21.2986i −0.350321 + 1.64813i 0.351801 + 0.936075i \(0.385570\pi\)
−0.702122 + 0.712057i \(0.747764\pi\)
\(168\) 3.62811 11.1662i 0.279915 0.861489i
\(169\) −10.5838 7.54871i −0.814139 0.580670i
\(170\) −5.07962 + 15.6335i −0.389589 + 1.19903i
\(171\) −0.0924427 + 0.0832358i −0.00706927 + 0.00636520i
\(172\) 3.20944 1.42894i 0.244718 0.108955i
\(173\) 12.8493 2.73121i 0.976916 0.207650i 0.308325 0.951281i \(-0.400231\pi\)
0.668590 + 0.743631i \(0.266898\pi\)
\(174\) −18.9655 + 6.16225i −1.43777 + 0.467159i
\(175\) 0.203296 0.456610i 0.0153677 0.0345165i
\(176\) −14.0133 12.6176i −1.05629 0.951089i
\(177\) 8.83483 12.1601i 0.664066 0.914009i
\(178\) −2.31509 + 22.0266i −0.173523 + 1.65097i
\(179\) −1.09681 10.4354i −0.0819794 0.779982i −0.955856 0.293834i \(-0.905069\pi\)
0.873877 0.486147i \(-0.161598\pi\)
\(180\) −1.12090 0.647150i −0.0835467 0.0482357i
\(181\) 2.75147 0.204516 0.102258 0.994758i \(-0.467393\pi\)
0.102258 + 0.994758i \(0.467393\pi\)
\(182\) −16.8507 + 12.3560i −1.24906 + 0.915887i
\(183\) 3.08362 9.49041i 0.227948 0.701551i
\(184\) 2.66117 12.5198i 0.196184 0.922975i
\(185\) 7.99145 13.8416i 0.587543 1.01766i
\(186\) 1.22613 11.0723i 0.0899043 0.811863i
\(187\) 18.8246i 1.37659i
\(188\) −1.26754 1.14130i −0.0924449 0.0832378i
\(189\) 4.32522 + 20.3486i 0.314613 + 1.48014i
\(190\) 0.191300 + 0.263302i 0.0138784 + 0.0191019i
\(191\) 4.08570 + 7.07664i 0.295631 + 0.512048i 0.975131 0.221627i \(-0.0711368\pi\)
−0.679501 + 0.733675i \(0.737803\pi\)
\(192\) 3.63932 6.30348i 0.262645 0.454915i
\(193\) 15.9204 1.67331i 1.14598 0.120447i 0.487553 0.873093i \(-0.337889\pi\)
0.658425 + 0.752646i \(0.271223\pi\)
\(194\) −9.11719 6.62403i −0.654576 0.475577i
\(195\) 4.31265 + 9.57321i 0.308835 + 0.685552i
\(196\) 0.897778 + 2.76308i 0.0641270 + 0.197363i
\(197\) −17.3402 + 1.82253i −1.23544 + 0.129850i −0.699639 0.714497i \(-0.746656\pi\)
−0.535798 + 0.844346i \(0.679989\pi\)
\(198\) 8.29411 + 1.76297i 0.589437 + 0.125289i
\(199\) 4.91308 1.04431i 0.348279 0.0740289i −0.0304509 0.999536i \(-0.509694\pi\)
0.378730 + 0.925507i \(0.376361\pi\)
\(200\) 0.193676 0.266573i 0.0136950 0.0188495i
\(201\) 0.806045 + 3.79214i 0.0568540 + 0.267477i
\(202\) −2.07898 9.78084i −0.146277 0.688177i
\(203\) −21.8079 + 30.0160i −1.53062 + 2.10671i
\(204\) −2.48179 + 0.527521i −0.173760 + 0.0369338i
\(205\) −2.89612 0.615589i −0.202274 0.0429946i
\(206\) −8.63864 + 0.907957i −0.601882 + 0.0632604i
\(207\) 2.17305 + 6.68795i 0.151037 + 0.464845i
\(208\) −15.3449 + 6.91275i −1.06398 + 0.479313i
\(209\) −0.301530 0.219074i −0.0208572 0.0151537i
\(210\) 16.7842 1.76409i 1.15822 0.121734i
\(211\) 2.59054 4.48695i 0.178340 0.308894i −0.762972 0.646432i \(-0.776261\pi\)
0.941312 + 0.337537i \(0.109594\pi\)
\(212\) −1.60265 2.77587i −0.110070 0.190647i
\(213\) −3.82070 5.25874i −0.261790 0.360323i
\(214\) −2.75796 12.9752i −0.188530 0.886966i
\(215\) −13.9635 12.5728i −0.952304 0.857458i
\(216\) 13.7142i 0.933136i
\(217\) −10.2631 18.0070i −0.696703 1.22240i
\(218\) 10.0328 17.3774i 0.679508 1.17694i
\(219\) −1.90685 + 8.97102i −0.128853 + 0.606206i
\(220\) 1.19837 3.68820i 0.0807940 0.248658i
\(221\) −15.3787 6.76640i −1.03448 0.455157i
\(222\) 14.1131 0.947207
\(223\) −13.9773 8.06979i −0.935988 0.540393i −0.0472879 0.998881i \(-0.515058\pi\)
−0.888701 + 0.458488i \(0.848391\pi\)
\(224\) 0.917847 + 8.73273i 0.0613262 + 0.583480i
\(225\) −0.0189228 + 0.180038i −0.00126152 + 0.0120025i
\(226\) 8.01914 11.0374i 0.533426 0.734197i
\(227\) 2.55131 + 2.29721i 0.169336 + 0.152471i 0.749442 0.662070i \(-0.230322\pi\)
−0.580105 + 0.814541i \(0.696989\pi\)
\(228\) −0.0204325 + 0.0458921i −0.00135317 + 0.00303928i
\(229\) −4.60342 + 1.49574i −0.304203 + 0.0988414i −0.457141 0.889394i \(-0.651126\pi\)
0.152938 + 0.988236i \(0.451126\pi\)
\(230\) 17.9965 3.82528i 1.18665 0.252231i
\(231\) −17.6561 + 7.86098i −1.16168 + 0.517215i
\(232\) −18.1765 + 16.3662i −1.19335 + 1.07450i
\(233\) 1.24260 3.82434i 0.0814056 0.250541i −0.902068 0.431595i \(-0.857951\pi\)
0.983473 + 0.181054i \(0.0579510\pi\)
\(234\) 4.42153 6.14215i 0.289044 0.401525i
\(235\) −2.81898 + 8.67594i −0.183890 + 0.565956i
\(236\) −1.03017 + 4.84655i −0.0670581 + 0.315483i
\(237\) 0.979580 + 9.32008i 0.0636306 + 0.605404i
\(238\) −18.0702 + 20.0690i −1.17132 + 1.30088i
\(239\) 1.72727 2.37738i 0.111728 0.153780i −0.749491 0.662015i \(-0.769702\pi\)
0.861219 + 0.508235i \(0.169702\pi\)
\(240\) 13.5188 + 1.42088i 0.872634 + 0.0917176i
\(241\) −0.311306 + 0.699204i −0.0200530 + 0.0450397i −0.923294 0.384093i \(-0.874514\pi\)
0.903241 + 0.429133i \(0.141181\pi\)
\(242\) 8.28120i 0.532336i
\(243\) −6.36653 11.0271i −0.408413 0.707392i
\(244\) 0.343844 + 3.27146i 0.0220124 + 0.209434i
\(245\) 11.5473 10.3973i 0.737732 0.664257i
\(246\) −0.807904 2.48647i −0.0515101 0.158532i
\(247\) −0.287355 + 0.167588i −0.0182840 + 0.0106634i
\(248\) −4.14986 13.0182i −0.263516 0.826657i
\(249\) 13.7067 + 7.91358i 0.868628 + 0.501503i
\(250\) −16.7891 3.56864i −1.06184 0.225700i
\(251\) −2.17355 + 0.462002i −0.137193 + 0.0291613i −0.275996 0.961159i \(-0.589008\pi\)
0.138803 + 0.990320i \(0.455674\pi\)
\(252\) −1.24985 1.72027i −0.0787331 0.108367i
\(253\) −18.2470 + 10.5349i −1.14718 + 0.662323i
\(254\) −7.27645 + 4.20106i −0.456565 + 0.263598i
\(255\) 7.97629 + 10.9784i 0.499495 + 0.687495i
\(256\) −1.01851 + 9.69043i −0.0636566 + 0.605652i
\(257\) −17.4290 + 7.75988i −1.08719 + 0.484048i −0.870488 0.492190i \(-0.836197\pi\)
−0.216702 + 0.976238i \(0.569530\pi\)
\(258\) 3.44958 16.2290i 0.214761 1.01037i
\(259\) 21.2431 15.4340i 1.31998 0.959022i
\(260\) −2.58231 2.30471i −0.160148 0.142932i
\(261\) 4.15253 12.7802i 0.257035 0.791073i
\(262\) 11.6514 + 26.1696i 0.719829 + 1.61676i
\(263\) 7.14661 + 7.93711i 0.440679 + 0.489423i 0.922038 0.387100i \(-0.126523\pi\)
−0.481359 + 0.876524i \(0.659857\pi\)
\(264\) −12.4626 + 2.64902i −0.767023 + 0.163036i
\(265\) −10.0765 + 13.8691i −0.618992 + 0.851970i
\(266\) 0.111168 + 0.523004i 0.00681614 + 0.0320674i
\(267\) 13.5875 + 12.2343i 0.831543 + 0.748724i
\(268\) −0.751186 1.03392i −0.0458860 0.0631567i
\(269\) 7.97242 8.85427i 0.486087 0.539854i −0.449346 0.893358i \(-0.648343\pi\)
0.935433 + 0.353503i \(0.115010\pi\)
\(270\) −18.0091 + 8.01815i −1.09600 + 0.487969i
\(271\) −5.91963 13.2957i −0.359592 0.807656i −0.999240 0.0389883i \(-0.987586\pi\)
0.639648 0.768668i \(-0.279080\pi\)
\(272\) −17.5973 + 12.7852i −1.06699 + 0.775217i
\(273\) 0.0756121 + 17.2496i 0.00457625 + 1.04399i
\(274\) 30.9180 1.86783
\(275\) −0.539433 + 0.0566967i −0.0325290 + 0.00341894i
\(276\) 1.90023 + 2.11042i 0.114380 + 0.127032i
\(277\) 15.5798 17.3031i 0.936099 1.03964i −0.0630342 0.998011i \(-0.520078\pi\)
0.999133 0.0416317i \(-0.0132556\pi\)
\(278\) 3.63281i 0.217882i
\(279\) 5.55063 + 5.05407i 0.332308 + 0.302579i
\(280\) 17.9266 10.3499i 1.07132 0.618528i
\(281\) −13.5311 + 4.39654i −0.807200 + 0.262275i −0.683412 0.730033i \(-0.739505\pi\)
−0.123789 + 0.992309i \(0.539505\pi\)
\(282\) −7.87916 + 1.67477i −0.469197 + 0.0997310i
\(283\) 2.65604 + 25.2705i 0.157885 + 1.50218i 0.730817 + 0.682574i \(0.239139\pi\)
−0.572932 + 0.819603i \(0.694194\pi\)
\(284\) 1.85568 + 1.07138i 0.110114 + 0.0635746i
\(285\) 0.268676 0.0159150
\(286\) 20.7554 + 9.13211i 1.22729 + 0.539993i
\(287\) −3.93526 2.85913i −0.232291 0.168769i
\(288\) −1.29355 2.90536i −0.0762233 0.171200i
\(289\) −4.61138 0.980178i −0.271257 0.0576575i
\(290\) −32.1187 14.3001i −1.88607 0.839734i
\(291\) −8.84795 + 2.87487i −0.518676 + 0.168528i
\(292\) −0.628587 2.95727i −0.0367852 0.173061i
\(293\) 5.68011 + 0.597003i 0.331835 + 0.0348773i 0.268981 0.963145i \(-0.413313\pi\)
0.0628541 + 0.998023i \(0.479980\pi\)
\(294\) 13.0491 + 4.23991i 0.761038 + 0.247276i
\(295\) 25.9211 5.50971i 1.50919 0.320788i
\(296\) 15.8137 7.04070i 0.919150 0.409232i
\(297\) 16.7769 15.1059i 0.973492 0.876536i
\(298\) 8.34251 + 25.6756i 0.483269 + 1.48735i
\(299\) 2.04765 + 18.6935i 0.118419 + 1.08107i
\(300\) 0.0225913 + 0.0695288i 0.00130431 + 0.00401425i
\(301\) −12.5556 28.2004i −0.723695 1.62544i
\(302\) 26.4510 11.7768i 1.52209 0.677676i
\(303\) −7.54110 3.35752i −0.433225 0.192884i
\(304\) 0.430662i 0.0247002i
\(305\) 15.2363 8.79668i 0.872428 0.503697i
\(306\) 3.97833 8.93548i 0.227426 0.510808i
\(307\) 19.5056 + 6.33776i 1.11324 + 0.361715i 0.807186 0.590298i \(-0.200990\pi\)
0.306059 + 0.952013i \(0.400990\pi\)
\(308\) 4.26308 4.73462i 0.242911 0.269780i
\(309\) −3.58537 + 6.21004i −0.203965 + 0.353277i
\(310\) 14.6688 13.0607i 0.833133 0.741796i
\(311\) −27.5697 −1.56334 −0.781668 0.623694i \(-0.785631\pi\)
−0.781668 + 0.623694i \(0.785631\pi\)
\(312\) −2.31553 + 11.1335i −0.131091 + 0.630309i
\(313\) −1.85887 + 5.72102i −0.105070 + 0.323371i −0.989747 0.142833i \(-0.954379\pi\)
0.884677 + 0.466204i \(0.154379\pi\)
\(314\) 15.7987 1.66051i 0.891574 0.0937082i
\(315\) −5.68631 + 9.84898i −0.320387 + 0.554927i
\(316\) −1.54463 2.67538i −0.0868921 0.150502i
\(317\) −14.1447 19.4684i −0.794443 1.09346i −0.993541 0.113477i \(-0.963801\pi\)
0.199098 0.979980i \(-0.436199\pi\)
\(318\) −15.0546 1.58230i −0.844220 0.0887311i
\(319\) 40.0422 + 4.20860i 2.24193 + 0.235636i
\(320\) 12.2047 3.96554i 0.682263 0.221681i
\(321\) −10.0040 4.45406i −0.558367 0.248601i
\(322\) 29.5660 + 6.28444i 1.64765 + 0.350218i
\(323\) −0.319498 + 0.287678i −0.0177774 + 0.0160068i
\(324\) −1.07532 0.781263i −0.0597398 0.0434035i
\(325\) −0.147579 + 0.461067i −0.00818618 + 0.0255754i
\(326\) 1.76621 5.43585i 0.0978215 0.301064i
\(327\) −6.73751 15.1327i −0.372585 0.836840i
\(328\) −2.14570 2.38304i −0.118476 0.131581i
\(329\) −10.0282 + 11.1375i −0.552875 + 0.614030i
\(330\) −10.7650 14.8168i −0.592594 0.815635i
\(331\) −7.06927 6.36520i −0.388562 0.349863i 0.451579 0.892231i \(-0.350861\pi\)
−0.840141 + 0.542368i \(0.817528\pi\)
\(332\) −5.18879 0.545364i −0.284772 0.0299307i
\(333\) −5.59002 + 7.69400i −0.306331 + 0.421629i
\(334\) −30.9679 13.7878i −1.69449 0.754435i
\(335\) −3.41759 + 5.91945i −0.186723 + 0.323414i
\(336\) 19.3401 + 11.1660i 1.05509 + 0.609155i
\(337\) −16.2198 + 11.7843i −0.883547 + 0.641934i −0.934187 0.356783i \(-0.883874\pi\)
0.0506408 + 0.998717i \(0.483874\pi\)
\(338\) 14.9209 13.6736i 0.811588 0.743744i
\(339\) −3.48037 10.7115i −0.189027 0.581767i
\(340\) −3.87402 2.23666i −0.210098 0.121300i
\(341\) −11.3544 + 19.4159i −0.614876 + 1.05143i
\(342\) −0.0968289 0.167713i −0.00523591 0.00906886i
\(343\) −0.504326 + 0.163865i −0.0272310 + 0.00884789i
\(344\) −4.23104 19.9055i −0.228122 1.07323i
\(345\) 6.17775 13.8754i 0.332599 0.747029i
\(346\) 20.4509i 1.09944i
\(347\) 10.3251 + 17.8836i 0.554279 + 0.960039i 0.997959 + 0.0638543i \(0.0203393\pi\)
−0.443680 + 0.896185i \(0.646327\pi\)
\(348\) −0.567248 5.39701i −0.0304077 0.289310i
\(349\) 12.3051 + 27.6378i 0.658679 + 1.47942i 0.865433 + 0.501024i \(0.167043\pi\)
−0.206754 + 0.978393i \(0.566290\pi\)
\(350\) 0.629519 + 0.457372i 0.0336492 + 0.0244476i
\(351\) −6.31038 19.1355i −0.336823 1.02138i
\(352\) 7.70905 5.60096i 0.410894 0.298532i
\(353\) 5.33026 25.0769i 0.283701 1.33471i −0.573279 0.819360i \(-0.694329\pi\)
0.856980 0.515349i \(-0.172338\pi\)
\(354\) 15.6576 + 17.3896i 0.832194 + 0.924245i
\(355\) 1.19792 11.3975i 0.0635792 0.604915i
\(356\) −5.73220 1.86251i −0.303806 0.0987126i
\(357\) 4.63516 + 21.8067i 0.245319 + 1.15413i
\(358\) 16.2460 + 1.70752i 0.858628 + 0.0902455i
\(359\) 14.6431 + 4.75784i 0.772834 + 0.251109i 0.668778 0.743462i \(-0.266818\pi\)
0.104056 + 0.994571i \(0.466818\pi\)
\(360\) −5.01665 + 5.57156i −0.264401 + 0.293647i
\(361\) −1.98515 18.8875i −0.104482 0.994076i
\(362\) −0.890595 + 4.18992i −0.0468086 + 0.220217i
\(363\) 5.53075 + 4.01832i 0.290289 + 0.210907i
\(364\) −2.33559 5.18454i −0.122418 0.271744i
\(365\) −13.0817 + 9.50444i −0.684730 + 0.497485i
\(366\) 13.4538 + 7.76756i 0.703242 + 0.406017i
\(367\) 7.99804 13.8530i 0.417495 0.723122i −0.578192 0.815901i \(-0.696242\pi\)
0.995687 + 0.0927788i \(0.0295750\pi\)
\(368\) 22.2410 + 9.90233i 1.15939 + 0.516194i
\(369\) 1.67555 + 0.544419i 0.0872256 + 0.0283413i
\(370\) 18.4912 + 16.6496i 0.961312 + 0.865569i
\(371\) −24.3907 + 14.0820i −1.26630 + 0.731099i
\(372\) 2.87793 + 0.952849i 0.149214 + 0.0494029i
\(373\) −11.3021 19.5759i −0.585202 1.01360i −0.994850 0.101356i \(-0.967682\pi\)
0.409648 0.912244i \(-0.365651\pi\)
\(374\) 28.6659 + 6.09312i 1.48228 + 0.315068i
\(375\) −10.5300 + 9.48129i −0.543769 + 0.489612i
\(376\) −7.99308 + 5.80731i −0.412212 + 0.299489i
\(377\) 17.8312 31.1995i 0.918352 1.60686i
\(378\) −32.3866 −1.66579
\(379\) −20.2115 + 2.12431i −1.03819 + 0.109119i −0.608257 0.793740i \(-0.708131\pi\)
−0.429937 + 0.902859i \(0.641464\pi\)
\(380\) −0.0809111 + 0.0360240i −0.00415065 + 0.00184799i
\(381\) −0.725031 + 6.89821i −0.0371444 + 0.353406i
\(382\) −12.0987 + 3.93111i −0.619023 + 0.201133i
\(383\) 9.27370 20.8291i 0.473864 1.06432i −0.505613 0.862760i \(-0.668734\pi\)
0.979477 0.201556i \(-0.0645997\pi\)
\(384\) 12.9266 + 11.6392i 0.659660 + 0.593960i
\(385\) −32.4071 10.5297i −1.65162 0.536643i
\(386\) −2.60502 + 24.7851i −0.132592 + 1.26153i
\(387\) 7.48120 + 8.30871i 0.380291 + 0.422356i
\(388\) 2.27908 2.05209i 0.115703 0.104179i
\(389\) −3.00856 2.18585i −0.152540 0.110827i 0.508897 0.860827i \(-0.330053\pi\)
−0.661437 + 0.750000i \(0.730053\pi\)
\(390\) −15.9739 + 3.46861i −0.808870 + 0.175640i
\(391\) 7.51043 + 23.1147i 0.379819 + 1.16896i
\(392\) 16.7367 1.75909i 0.845330 0.0888477i
\(393\) 23.1315 + 4.91676i 1.16683 + 0.248018i
\(394\) 2.83733 26.9954i 0.142943 1.36001i
\(395\) −9.71168 + 13.3670i −0.488648 + 0.672566i
\(396\) −0.938556 + 2.10803i −0.0471642 + 0.105933i
\(397\) −1.71038 + 0.987489i −0.0858416 + 0.0495607i −0.542306 0.840181i \(-0.682449\pi\)
0.456465 + 0.889741i \(0.349115\pi\)
\(398\) 7.81961i 0.391962i
\(399\) 0.403240 + 0.179534i 0.0201872 + 0.00898794i
\(400\) 0.419371 + 0.465759i 0.0209685 + 0.0232879i
\(401\) −7.29282 + 34.3100i −0.364186 + 1.71336i 0.289999 + 0.957027i \(0.406345\pi\)
−0.654185 + 0.756335i \(0.726988\pi\)
\(402\) −6.03554 −0.301025
\(403\) 11.7804 + 16.2549i 0.586825 + 0.809713i
\(404\) 2.72116 0.135383
\(405\) −1.47802 + 6.95352i −0.0734432 + 0.345523i
\(406\) −38.6493 42.9244i −1.91813 2.13030i
\(407\) −26.0314 11.5899i −1.29033 0.574492i
\(408\) 14.6970i 0.727610i
\(409\) 8.59951 4.96493i 0.425218 0.245500i −0.272089 0.962272i \(-0.587715\pi\)
0.697307 + 0.716772i \(0.254381\pi\)
\(410\) 1.87483 4.21093i 0.0925910 0.207963i
\(411\) 15.0025 20.6492i 0.740019 1.01855i
\(412\) 0.247085 2.35086i 0.0121730 0.115819i
\(413\) 42.5851 + 9.05175i 2.09548 + 0.445408i
\(414\) −10.8877 + 1.14435i −0.535102 + 0.0562415i
\(415\) 8.62295 + 26.5387i 0.423284 + 1.30273i
\(416\) −1.80469 8.31112i −0.0884824 0.407486i
\(417\) −2.42624 1.76277i −0.118813 0.0863230i
\(418\) 0.431203 0.388257i 0.0210908 0.0189903i
\(419\) 0.585830 + 0.650630i 0.0286196 + 0.0317853i 0.757285 0.653085i \(-0.226526\pi\)
−0.728665 + 0.684870i \(0.759859\pi\)
\(420\) −0.480069 + 4.56755i −0.0234250 + 0.222874i
\(421\) −20.4013 6.62877i −0.994297 0.323067i −0.233712 0.972306i \(-0.575087\pi\)
−0.760584 + 0.649239i \(0.775087\pi\)
\(422\) 5.99418 + 5.39718i 0.291792 + 0.262731i
\(423\) 2.20781 4.95883i 0.107348 0.241107i
\(424\) −17.6580 + 5.73744i −0.857550 + 0.278635i
\(425\) −0.0654004 + 0.622243i −0.00317239 + 0.0301832i
\(426\) 9.24464 4.11598i 0.447904 0.199420i
\(427\) 28.7453 3.02126i 1.39108 0.146209i
\(428\) 3.60987 0.174489
\(429\) 16.1703 9.43067i 0.780709 0.455317i
\(430\) 23.6655 17.1940i 1.14125 0.829166i
\(431\) 24.8311 22.3581i 1.19607 1.07695i 0.200821 0.979628i \(-0.435639\pi\)
0.995253 0.0973216i \(-0.0310275\pi\)
\(432\) −25.5156 5.42351i −1.22762 0.260939i
\(433\) −11.9681 20.7293i −0.575148 0.996186i −0.996026 0.0890681i \(-0.971611\pi\)
0.420878 0.907117i \(-0.361722\pi\)
\(434\) 30.7429 9.80002i 1.47571 0.470416i
\(435\) −25.1357 + 14.5121i −1.20516 + 0.695802i
\(436\) 4.05796 + 3.65381i 0.194341 + 0.174986i
\(437\) 0.457653 + 0.148700i 0.0218925 + 0.00711331i
\(438\) −13.0438 5.80747i −0.623256 0.277492i
\(439\) 8.98908 15.5696i 0.429026 0.743094i −0.567761 0.823193i \(-0.692190\pi\)
0.996787 + 0.0800991i \(0.0255237\pi\)
\(440\) −19.4539 11.2317i −0.927429 0.535451i
\(441\) −7.48006 + 5.43458i −0.356193 + 0.258789i
\(442\) 15.2816 21.2283i 0.726870 1.00973i
\(443\) −21.6107 15.7011i −1.02675 0.745981i −0.0590982 0.998252i \(-0.518823\pi\)
−0.967657 + 0.252271i \(0.918823\pi\)
\(444\) −0.798513 + 3.75671i −0.0378958 + 0.178286i
\(445\) 3.36955 + 32.0591i 0.159732 + 1.51975i
\(446\) 16.8128 18.6725i 0.796107 0.884167i
\(447\) 21.1960 + 6.88700i 1.00254 + 0.325744i
\(448\) 20.9671 + 2.20373i 0.990603 + 0.104117i
\(449\) 2.06586 + 9.71912i 0.0974941 + 0.458674i 0.999629 + 0.0272205i \(0.00866561\pi\)
−0.902135 + 0.431453i \(0.858001\pi\)
\(450\) −0.268036 0.0870900i −0.0126353 0.00410546i
\(451\) −0.551770 + 5.24974i −0.0259818 + 0.247201i
\(452\) 2.48429 + 2.75908i 0.116851 + 0.129776i
\(453\) 4.96964 23.3803i 0.233494 1.09850i
\(454\) −4.32397 + 3.14155i −0.202934 + 0.147440i
\(455\) −20.2508 + 22.6900i −0.949371 + 1.06372i
\(456\) 0.235415 + 0.171039i 0.0110243 + 0.00800962i
\(457\) −6.74513 15.1498i −0.315524 0.708679i 0.684265 0.729234i \(-0.260123\pi\)
−0.999789 + 0.0205551i \(0.993457\pi\)
\(458\) −0.787671 7.49419i −0.0368054 0.350180i
\(459\) −13.0206 22.5523i −0.607748 1.05265i
\(460\) 5.00686i 0.233446i
\(461\) −14.9815 + 33.6489i −0.697757 + 1.56719i 0.120746 + 0.992683i \(0.461471\pi\)
−0.818502 + 0.574503i \(0.805195\pi\)
\(462\) −6.25573 29.4309i −0.291043 1.36925i
\(463\) −18.5362 + 6.02276i −0.861448 + 0.279901i −0.706233 0.707979i \(-0.749607\pi\)
−0.155215 + 0.987881i \(0.549607\pi\)
\(464\) −23.2615 40.2901i −1.07989 1.87042i
\(465\) −1.60499 16.1343i −0.0744296 0.748212i
\(466\) 5.42146 + 3.13008i 0.251144 + 0.144998i
\(467\) 3.96831 + 12.2132i 0.183631 + 0.565160i 0.999922 0.0124819i \(-0.00397320\pi\)
−0.816291 + 0.577641i \(0.803973\pi\)
\(468\) 1.38479 + 1.52447i 0.0640119 + 0.0704687i
\(469\) −9.08473 + 6.60045i −0.419494 + 0.304780i
\(470\) −12.2992 7.10094i −0.567319 0.327542i
\(471\) 6.55709 11.3572i 0.302135 0.523312i
\(472\) 26.2196 + 11.6737i 1.20686 + 0.537327i
\(473\) −19.6903 + 27.1013i −0.905360 + 1.24612i
\(474\) −14.5096 1.52502i −0.666448 0.0700465i
\(475\) 0.00920591 + 0.00828904i 0.000422396 + 0.000380327i
\(476\) −4.31970 5.94555i −0.197993 0.272514i
\(477\) 6.82557 7.58057i 0.312522 0.347090i
\(478\) 3.06117 + 3.39978i 0.140015 + 0.155502i
\(479\) 13.1060 + 29.4365i 0.598827 + 1.34499i 0.917732 + 0.397201i \(0.130018\pi\)
−0.318905 + 0.947787i \(0.603315\pi\)
\(480\) −2.12267 + 6.53291i −0.0968863 + 0.298185i
\(481\) −18.8252 + 17.1003i −0.858356 + 0.779707i
\(482\) −0.963979 0.700372i −0.0439080 0.0319011i
\(483\) 18.5436 16.6967i 0.843764 0.759728i
\(484\) −2.20434 0.468548i −0.100197 0.0212976i
\(485\) −14.9843 6.67145i −0.680403 0.302935i
\(486\) 18.8527 6.12563i 0.855178 0.277864i
\(487\) −10.7182 1.12652i −0.485686 0.0510477i −0.141479 0.989941i \(-0.545186\pi\)
−0.344208 + 0.938894i \(0.611852\pi\)
\(488\) 18.9500 + 1.99173i 0.857827 + 0.0901613i
\(489\) −2.77340 3.81726i −0.125418 0.172622i
\(490\) 12.0952 + 20.9496i 0.546407 + 0.946404i
\(491\) −9.24580 + 16.0142i −0.417257 + 0.722711i −0.995662 0.0930388i \(-0.970342\pi\)
0.578405 + 0.815750i \(0.303675\pi\)
\(492\) 0.707577 0.0743693i 0.0319000 0.00335283i
\(493\) 14.3519 44.1705i 0.646376 1.98934i
\(494\) −0.162191 0.491826i −0.00729732 0.0221283i
\(495\) 12.3415 0.554710
\(496\) 25.8617 2.57264i 1.16123 0.115515i
\(497\) 9.41387 16.3053i 0.422270 0.731393i
\(498\) −16.4873 + 18.3110i −0.738814 + 0.820536i
\(499\) 19.4986 + 6.33547i 0.872876 + 0.283615i 0.710996 0.703196i \(-0.248244\pi\)
0.161880 + 0.986810i \(0.448244\pi\)
\(500\) 1.89985 4.26712i 0.0849637 0.190832i
\(501\) −24.2351 + 13.9922i −1.08275 + 0.625124i
\(502\) 3.45940i 0.154400i
\(503\) −3.03528 1.35139i −0.135336 0.0602556i 0.337951 0.941164i \(-0.390266\pi\)
−0.473287 + 0.880908i \(0.656933\pi\)
\(504\) −11.2522 + 5.00980i −0.501213 + 0.223154i
\(505\) −5.91954 13.2955i −0.263416 0.591643i
\(506\) −10.1363 31.1962i −0.450612 1.38684i
\(507\) −1.89201 16.6001i −0.0840272 0.737235i
\(508\) −0.706566 2.17459i −0.0313488 0.0964817i
\(509\) 10.4644 9.42215i 0.463824 0.417629i −0.403802 0.914847i \(-0.632311\pi\)
0.867626 + 0.497217i \(0.165645\pi\)
\(510\) −19.2996 + 8.59273i −0.854600 + 0.380493i
\(511\) −25.9846 + 5.52320i −1.14949 + 0.244332i
\(512\) 11.3174 + 3.67724i 0.500162 + 0.162513i
\(513\) −0.512769 0.0538941i −0.0226393 0.00237948i
\(514\) −6.17528 29.0524i −0.272380 1.28145i
\(515\) −12.0238 + 3.90676i −0.529830 + 0.172152i
\(516\) 4.12476 + 1.83646i 0.181582 + 0.0808457i
\(517\) 15.9084 + 3.38143i 0.699650 + 0.148715i
\(518\) 16.6268 + 37.3444i 0.730540 + 1.64082i
\(519\) 13.6585 + 9.92347i 0.599541 + 0.435592i
\(520\) −16.1683 + 11.8556i −0.709028 + 0.519902i
\(521\) 4.11756 0.180393 0.0901967 0.995924i \(-0.471250\pi\)
0.0901967 + 0.995924i \(0.471250\pi\)
\(522\) 18.1174 + 10.4601i 0.792979 + 0.457826i
\(523\) −2.95285 28.0945i −0.129119 1.22849i −0.846722 0.532035i \(-0.821427\pi\)
0.717603 0.696452i \(-0.245239\pi\)
\(524\) −7.62523 + 1.62079i −0.333110 + 0.0708046i
\(525\) 0.610929 0.198503i 0.0266631 0.00866337i
\(526\) −14.3998 + 8.31371i −0.627860 + 0.362495i
\(527\) 19.1840 + 17.4677i 0.835666 + 0.760907i
\(528\) 24.2346i 1.05467i
\(529\) 2.81238 3.12346i 0.122277 0.135803i
\(530\) −17.8581 19.8335i −0.775708 0.861511i
\(531\) −15.6821 + 1.64825i −0.680543 + 0.0715280i
\(532\) −0.145506 −0.00630850
\(533\) 4.09042 + 2.33776i 0.177176 + 0.101260i
\(534\) −23.0282 + 16.7310i −0.996528 + 0.724020i
\(535\) −7.85283 17.6377i −0.339507 0.762546i
\(536\) −6.76281 + 3.01100i −0.292109 + 0.130055i
\(537\) 9.02353 10.0216i 0.389394 0.432466i
\(538\) 10.9027 + 15.0063i 0.470049 + 0.646966i
\(539\) −20.5870 18.5366i −0.886746 0.798430i
\(540\) −1.11538 5.24744i −0.0479982 0.225814i
\(541\) 0.240786 0.331414i 0.0103522 0.0142486i −0.803810 0.594887i \(-0.797197\pi\)
0.814162 + 0.580638i \(0.197197\pi\)
\(542\) 22.1626 4.71081i 0.951967 0.202347i
\(543\) 2.36617 + 2.62789i 0.101542 + 0.112774i
\(544\) −4.47074 10.0414i −0.191681 0.430524i
\(545\) 9.02483 27.7756i 0.386581 1.18977i
\(546\) −26.2920 5.46820i −1.12520 0.234018i
\(547\) 6.05594 4.39990i 0.258933 0.188126i −0.450743 0.892654i \(-0.648841\pi\)
0.709677 + 0.704527i \(0.248841\pi\)
\(548\) −1.74933 + 8.22996i −0.0747278 + 0.351567i
\(549\) −9.56352 + 4.25796i −0.408161 + 0.181725i
\(550\) 0.0882661 0.839795i 0.00376368 0.0358090i
\(551\) −0.540495 0.743928i −0.0230259 0.0316924i
\(552\) 14.2460 8.22495i 0.606351 0.350077i
\(553\) −23.5077 + 13.5722i −0.999649 + 0.577148i
\(554\) 21.3062 + 29.3254i 0.905212 + 1.24592i
\(555\) 20.0923 4.27075i 0.852870 0.181283i
\(556\) 0.967006 + 0.205543i 0.0410102 + 0.00871698i
\(557\) −5.76931 3.33091i −0.244454 0.141135i 0.372768 0.927924i \(-0.378409\pi\)
−0.617222 + 0.786789i \(0.711742\pi\)
\(558\) −9.49291 + 6.81655i −0.401867 + 0.288568i
\(559\) 15.0628 + 25.8273i 0.637087 + 1.09238i
\(560\) 12.1669 + 37.4459i 0.514146 + 1.58238i
\(561\) 17.9791 16.1884i 0.759078 0.683476i
\(562\) −2.31525 22.0282i −0.0976631 0.929202i
\(563\) 16.3962 + 28.3990i 0.691017 + 1.19688i 0.971505 + 0.237019i \(0.0761705\pi\)
−0.280488 + 0.959858i \(0.590496\pi\)
\(564\) 2.19209i 0.0923034i
\(565\) 8.07655 18.1402i 0.339783 0.763165i
\(566\) −39.3414 4.13495i −1.65364 0.173805i
\(567\) −6.86472 + 9.44848i −0.288291 + 0.396799i
\(568\) 8.30523 9.22389i 0.348480 0.387026i
\(569\) −0.717383 6.82544i −0.0300743 0.286137i −0.999215 0.0396275i \(-0.987383\pi\)
0.969140 0.246510i \(-0.0792838\pi\)
\(570\) −0.0869649 + 0.409138i −0.00364256 + 0.0171369i
\(571\) 0.560773 1.72588i 0.0234676 0.0722259i −0.938637 0.344907i \(-0.887910\pi\)
0.962104 + 0.272681i \(0.0879104\pi\)
\(572\) −3.60518 + 5.00812i −0.150740 + 0.209400i
\(573\) −3.24525 + 9.98784i −0.135572 + 0.417248i
\(574\) 5.62762 5.06714i 0.234892 0.211498i
\(575\) 0.639751 0.284835i 0.0266795 0.0118785i
\(576\) −7.46902 + 1.58759i −0.311209 + 0.0661495i
\(577\) −31.0944 + 10.1032i −1.29448 + 0.420601i −0.873656 0.486544i \(-0.838257\pi\)
−0.420819 + 0.907144i \(0.638257\pi\)
\(578\) 2.98521 6.70490i 0.124168 0.278887i
\(579\) 15.2891 + 13.7664i 0.635395 + 0.572113i
\(580\) 5.62377 7.74046i 0.233514 0.321405i
\(581\) −4.79195 + 45.5923i −0.198803 + 1.89149i
\(582\) −1.51393 14.4041i −0.0627546 0.597070i
\(583\) 26.4687 + 15.2817i 1.09622 + 0.632903i
\(584\) −17.5127 −0.724683
\(585\) 4.43610 10.0824i 0.183410 0.416854i
\(586\) −2.74764 + 8.45638i −0.113504 + 0.349330i
\(587\) −4.00265 + 18.8310i −0.165207 + 0.777239i 0.815031 + 0.579418i \(0.196720\pi\)
−0.980238 + 0.197821i \(0.936613\pi\)
\(588\) −1.86692 + 3.23360i −0.0769905 + 0.133351i
\(589\) 0.503053 0.104002i 0.0207279 0.00428534i
\(590\) 41.2559i 1.69848i
\(591\) −16.6526 14.9941i −0.684996 0.616773i
\(592\) 6.84559 + 32.2060i 0.281352 + 1.32366i
\(593\) −9.08944 12.5105i −0.373259 0.513746i 0.580524 0.814243i \(-0.302848\pi\)
−0.953783 + 0.300497i \(0.902848\pi\)
\(594\) 17.5729 + 30.4371i 0.721024 + 1.24885i
\(595\) −19.6529 + 34.0398i −0.805690 + 1.39550i
\(596\) −7.30652 + 0.767946i −0.299287 + 0.0314563i
\(597\) 5.22247 + 3.79435i 0.213741 + 0.155292i
\(598\) −29.1291 2.93255i −1.19118 0.119921i
\(599\) −1.50267 4.62473i −0.0613973 0.188962i 0.915653 0.401969i \(-0.131674\pi\)
−0.977051 + 0.213008i \(0.931674\pi\)
\(600\) 0.421154 0.0442651i 0.0171935 0.00180711i
\(601\) 7.51569 + 1.59751i 0.306571 + 0.0651638i 0.358629 0.933480i \(-0.383244\pi\)
−0.0520572 + 0.998644i \(0.516578\pi\)
\(602\) 47.0073 9.99171i 1.91588 0.407232i
\(603\) 2.39061 3.29039i 0.0973530 0.133995i
\(604\) 1.63822 + 7.70724i 0.0666584 + 0.313603i
\(605\) 2.50597 + 11.7897i 0.101882 + 0.479317i
\(606\) 7.55369 10.3968i 0.306848 0.422340i
\(607\) 38.9869 8.28693i 1.58243 0.336356i 0.668972 0.743287i \(-0.266734\pi\)
0.913459 + 0.406931i \(0.133401\pi\)
\(608\) −0.212872 0.0452473i −0.00863309 0.00183502i
\(609\) −47.4219 + 4.98424i −1.92163 + 0.201972i
\(610\) 8.46383 + 26.0490i 0.342691 + 1.05469i
\(611\) 8.48064 11.7809i 0.343090 0.476602i
\(612\) 2.15341 + 1.56455i 0.0870466 + 0.0632430i
\(613\) −41.1896 + 4.32920i −1.66363 + 0.174855i −0.889111 0.457693i \(-0.848676\pi\)
−0.774522 + 0.632547i \(0.782009\pi\)
\(614\) −15.9646 + 27.6516i −0.644280 + 1.11593i
\(615\) −1.90261 3.29542i −0.0767208 0.132884i
\(616\) −21.6920 29.8564i −0.873994 1.20295i
\(617\) 4.96404 + 23.3540i 0.199845 + 0.940196i 0.957699 + 0.287772i \(0.0929146\pi\)
−0.757854 + 0.652424i \(0.773752\pi\)
\(618\) −8.29609 7.46983i −0.333718 0.300481i
\(619\) 1.60810i 0.0646351i 0.999478 + 0.0323176i \(0.0102888\pi\)
−0.999478 + 0.0323176i \(0.989711\pi\)
\(620\) 2.64662 + 4.64361i 0.106291 + 0.186492i
\(621\) −14.5735 + 25.2421i −0.584815 + 1.01293i
\(622\) 8.92375 41.9830i 0.357810 1.68336i
\(623\) −16.3653 + 50.3671i −0.655661 + 2.01792i
\(624\) −19.7983 8.71100i −0.792568 0.348719i
\(625\) −25.6533 −1.02613
\(626\) −8.11024 4.68245i −0.324150 0.187148i
\(627\) −0.0500698 0.476382i −0.00199960 0.0190249i
\(628\) −0.451881 + 4.29936i −0.0180320 + 0.171563i
\(629\) −19.3201 + 26.5918i −0.770342 + 1.06029i
\(630\) −13.1574 11.8470i −0.524203 0.471995i
\(631\) 12.9508 29.0880i 0.515564 1.15798i −0.448857 0.893604i \(-0.648169\pi\)
0.964421 0.264372i \(-0.0851647\pi\)
\(632\) −17.0188 + 5.52974i −0.676971 + 0.219961i
\(633\) 6.51319 1.38442i 0.258876 0.0550258i
\(634\) 34.2247 15.2378i 1.35924 0.605171i
\(635\) −9.08794 + 8.18282i −0.360644 + 0.324725i
\(636\) 1.27297 3.91781i 0.0504767 0.155351i
\(637\) −22.5433 + 10.1556i −0.893200 + 0.402379i
\(638\) −19.3696 + 59.6136i −0.766851 + 2.36013i
\(639\) −1.41779 + 6.67018i −0.0560869 + 0.263868i
\(640\) 3.20566 + 30.4998i 0.126715 + 1.20561i
\(641\) −19.0921 + 21.2039i −0.754092 + 0.837504i −0.990977 0.134034i \(-0.957207\pi\)
0.236885 + 0.971538i \(0.423874\pi\)
\(642\) 10.0207 13.7923i 0.395484 0.544338i
\(643\) 5.80068 + 0.609676i 0.228756 + 0.0240433i 0.218213 0.975901i \(-0.429977\pi\)
0.0105434 + 0.999944i \(0.496644\pi\)
\(644\) −3.34567 + 7.51449i −0.131838 + 0.296113i
\(645\) 24.1485i 0.950846i
\(646\) −0.334658 0.579644i −0.0131669 0.0228058i
\(647\) −1.03784 9.87437i −0.0408016 0.388201i −0.995798 0.0915824i \(-0.970808\pi\)
0.954996 0.296619i \(-0.0958591\pi\)
\(648\) −5.72163 + 5.15178i −0.224767 + 0.202381i
\(649\) −14.5997 44.9333i −0.573089 1.76379i
\(650\) −0.654340 0.373969i −0.0256653 0.0146683i
\(651\) 8.37239 25.2875i 0.328140 0.991096i
\(652\) 1.34702 + 0.777701i 0.0527533 + 0.0304571i
\(653\) 1.96873 + 0.418467i 0.0770425 + 0.0163759i 0.246272 0.969201i \(-0.420794\pi\)
−0.169229 + 0.985577i \(0.554128\pi\)
\(654\) 25.2247 5.36168i 0.986365 0.209658i
\(655\) 24.5069 + 33.7309i 0.957564 + 1.31797i
\(656\) 5.28224 3.04970i 0.206237 0.119071i
\(657\) 8.33254 4.81079i 0.325083 0.187687i
\(658\) −13.7141 18.8759i −0.534633 0.735859i
\(659\) 0.963961 9.17147i 0.0375506 0.357270i −0.959572 0.281463i \(-0.909180\pi\)
0.997123 0.0758065i \(-0.0241531\pi\)
\(660\) 4.55310 2.02717i 0.177229 0.0789075i
\(661\) 3.39228 15.9594i 0.131944 0.620750i −0.861627 0.507542i \(-0.830554\pi\)
0.993571 0.113208i \(-0.0361125\pi\)
\(662\) 11.9810 8.70474i 0.465657 0.338319i
\(663\) −6.76258 20.5068i −0.262637 0.796418i
\(664\) −9.33904 + 28.7426i −0.362425 + 1.11543i
\(665\) 0.316531 + 0.710941i 0.0122746 + 0.0275691i
\(666\) −9.90698 11.0028i −0.383888 0.426351i
\(667\) −50.8470 + 10.8079i −1.96880 + 0.418482i
\(668\) 5.42228 7.46313i 0.209794 0.288757i
\(669\) −4.31261 20.2892i −0.166735 0.784427i
\(670\) −7.90788 7.12028i −0.305508 0.275081i
\(671\) −18.4365 25.3757i −0.711735 0.979619i
\(672\) −7.55119 + 8.38645i −0.291293 + 0.323514i
\(673\) 20.8162 9.26796i 0.802405 0.357254i 0.0357886 0.999359i \(-0.488606\pi\)
0.766616 + 0.642106i \(0.221939\pi\)
\(674\) −12.6951 28.5136i −0.488997 1.09830i
\(675\) −0.607038 + 0.441039i −0.0233649 + 0.0169756i
\(676\) 2.79550 + 4.74538i 0.107519 + 0.182515i
\(677\) 38.1876 1.46767 0.733834 0.679329i \(-0.237729\pi\)
0.733834 + 0.679329i \(0.237729\pi\)
\(678\) 17.4378 1.83279i 0.669696 0.0703879i
\(679\) −18.0311 20.0255i −0.691969 0.768510i
\(680\) −17.3384 + 19.2563i −0.664898 + 0.738445i
\(681\) 4.41223i 0.169077i
\(682\) −25.8912 23.5749i −0.991423 0.902730i
\(683\) −1.46836 + 0.847756i −0.0561851 + 0.0324385i −0.527829 0.849350i \(-0.676994\pi\)
0.471644 + 0.881789i \(0.343661\pi\)
\(684\) 0.0501214 0.0162854i 0.00191644 0.000622689i
\(685\) 44.0169 9.35608i 1.68180 0.357478i
\(686\) −0.0862929 0.821022i −0.00329468 0.0313468i
\(687\) −5.38734 3.11038i −0.205540 0.118668i
\(688\) 38.7077 1.47572
\(689\) 21.9983 16.1305i 0.838070 0.614524i
\(690\) 19.1298 + 13.8986i 0.728259 + 0.529111i
\(691\) 14.3051 + 32.1298i 0.544192 + 1.22227i 0.951122 + 0.308815i \(0.0999325\pi\)
−0.406930 + 0.913459i \(0.633401\pi\)
\(692\) −5.44374 1.15710i −0.206940 0.0439865i
\(693\) 18.5226 + 8.24681i 0.703617 + 0.313270i
\(694\) −30.5749 + 9.93439i −1.16061 + 0.377104i
\(695\) −1.09932 5.17191i −0.0416997 0.196182i
\(696\) −31.2623 3.28580i −1.18500 0.124548i
\(697\) 5.79099 + 1.88161i 0.219349 + 0.0712709i
\(698\) −46.0695 + 9.79237i −1.74376 + 0.370647i
\(699\) 4.72116 2.10200i 0.178571 0.0795048i
\(700\) −0.157364 + 0.141692i −0.00594781 + 0.00535544i
\(701\) 6.50063 + 20.0069i 0.245525 + 0.755649i 0.995550 + 0.0942391i \(0.0300418\pi\)
−0.750024 + 0.661410i \(0.769958\pi\)
\(702\) 31.1820 3.41561i 1.17689 0.128914i
\(703\) 0.201104 + 0.618934i 0.00758477 + 0.0233435i
\(704\) −9.30563 20.9008i −0.350719 0.787728i
\(705\) −10.7105 + 4.76862i −0.403380 + 0.179596i
\(706\) 36.4616 + 16.2337i 1.37225 + 0.610965i
\(707\) 23.9100i 0.899227i
\(708\) −5.51477 + 3.18396i −0.207258 + 0.119660i
\(709\) −20.0927 + 45.1290i −0.754599 + 1.69486i −0.0360798 + 0.999349i \(0.511487\pi\)
−0.718519 + 0.695507i \(0.755180\pi\)
\(710\) 16.9682 + 5.51331i 0.636806 + 0.206911i
\(711\) 6.57848 7.30614i 0.246712 0.274002i
\(712\) −17.4564 + 30.2353i −0.654204 + 1.13312i
\(713\) 6.19576 28.3709i 0.232033 1.06250i
\(714\) −34.7074 −1.29889
\(715\) 32.3122 + 6.72028i 1.20841 + 0.251324i
\(716\) −1.37371 + 4.22786i −0.0513381 + 0.158002i
\(717\) 3.75599 0.394771i 0.140270 0.0147430i
\(718\) −11.9849 + 20.7584i −0.447271 + 0.774696i
\(719\) −10.2369 17.7309i −0.381773 0.661251i 0.609542 0.792754i \(-0.291353\pi\)
−0.991316 + 0.131502i \(0.958020\pi\)
\(720\) −8.38207 11.5369i −0.312381 0.429956i
\(721\) −20.6563 2.17106i −0.769281 0.0808547i
\(722\) 29.4042 + 3.09050i 1.09431 + 0.115017i
\(723\) −0.935512 + 0.303966i −0.0347921 + 0.0113046i
\(724\) −1.06491 0.474129i −0.0395771 0.0176209i
\(725\) −1.30897 0.278229i −0.0486138 0.0103332i
\(726\) −7.90926 + 7.12153i −0.293540 + 0.264305i
\(727\) 18.3801 + 13.3539i 0.681681 + 0.495271i 0.873915 0.486079i \(-0.161573\pi\)
−0.192234 + 0.981349i \(0.561573\pi\)
\(728\) −32.1881 + 6.98941i −1.19297 + 0.259045i
\(729\) 7.96536 24.5149i 0.295013 0.907958i
\(730\) −10.2390 22.9971i −0.378962 0.851162i
\(731\) 25.8563 + 28.7164i 0.956331 + 1.06211i
\(732\) −2.82883 + 3.14174i −0.104557 + 0.116122i
\(733\) −29.0882 40.0364i −1.07440 1.47878i −0.865545 0.500831i \(-0.833028\pi\)
−0.208850 0.977948i \(-0.566972\pi\)
\(734\) 18.5065 + 16.6633i 0.683086 + 0.615053i
\(735\) 19.8606 + 2.08743i 0.732568 + 0.0769960i
\(736\) −7.23135 + 9.95310i −0.266551 + 0.366876i
\(737\) 11.1325 + 4.95651i 0.410071 + 0.182575i
\(738\) −1.37138 + 2.37529i −0.0504810 + 0.0874357i
\(739\) −7.46816 4.31174i −0.274721 0.158610i 0.356310 0.934368i \(-0.384035\pi\)
−0.631031 + 0.775758i \(0.717368\pi\)
\(740\) −5.47811 + 3.98008i −0.201379 + 0.146311i
\(741\) −0.407176 0.130329i −0.0149580 0.00478776i
\(742\) −13.5491 41.7000i −0.497404 1.53085i
\(743\) 15.3984 + 8.89025i 0.564911 + 0.326152i 0.755114 0.655593i \(-0.227581\pi\)
−0.190203 + 0.981745i \(0.560915\pi\)
\(744\) 8.86478 15.1587i 0.324999 0.555743i
\(745\) 19.6466 + 34.0289i 0.719796 + 1.24672i
\(746\) 33.4682 10.8745i 1.22536 0.398143i
\(747\) −3.45216 16.2411i −0.126308 0.594232i
\(748\) −3.24381 + 7.28573i −0.118606 + 0.266393i
\(749\) 31.7188i 1.15898i
\(750\) −11.0297 19.1039i −0.402746 0.697577i
\(751\) −0.693762 6.60071i −0.0253158 0.240863i −0.999861 0.0166724i \(-0.994693\pi\)
0.974545 0.224191i \(-0.0719739\pi\)
\(752\) −7.64362 17.1679i −0.278734 0.626047i
\(753\) −2.31042 1.67862i −0.0841964 0.0611723i
\(754\) 41.7388 + 37.2518i 1.52004 + 1.35663i