Properties

Label 354.2.e.b.139.1
Level 354
Weight 2
Character 354.139
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM No

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(2\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 139.1
Character \(\chi\) = 354.139
Dual form 354.2.e.b.163.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.856857 + 0.515554i) q^{2} +(0.370138 - 0.928977i) q^{3} +(0.468408 + 0.883512i) q^{4} +(-1.41393 - 0.153774i) q^{5} +(0.796093 - 0.605174i) q^{6} +(2.98026 + 1.00417i) q^{7} +(-0.0541389 + 0.998533i) q^{8} +(-0.725995 - 0.687699i) q^{9} +O(q^{10})\) \(q+(0.856857 + 0.515554i) q^{2} +(0.370138 - 0.928977i) q^{3} +(0.468408 + 0.883512i) q^{4} +(-1.41393 - 0.153774i) q^{5} +(0.796093 - 0.605174i) q^{6} +(2.98026 + 1.00417i) q^{7} +(-0.0541389 + 0.998533i) q^{8} +(-0.725995 - 0.687699i) q^{9} +(-1.13226 - 0.860721i) q^{10} +(2.19000 + 3.23001i) q^{11} +(0.994138 - 0.108119i) q^{12} +(3.44922 - 3.26727i) q^{13} +(2.03596 + 2.39691i) q^{14} +(-0.666204 + 1.25659i) q^{15} +(-0.561187 + 0.827689i) q^{16} +(1.15380 - 0.388761i) q^{17} +(-0.267528 - 0.963550i) q^{18} +(0.484072 - 2.95271i) q^{19} +(-0.526437 - 1.32126i) q^{20} +(2.03596 - 2.39691i) q^{21} +(0.211274 + 3.89672i) q^{22} +(-0.198760 + 0.715869i) q^{23} +(0.907575 + 0.419889i) q^{24} +(-2.90754 - 0.639998i) q^{25} +(4.63994 - 1.02133i) q^{26} +(-0.907575 + 0.419889i) q^{27} +(0.508786 + 3.10346i) q^{28} +(-5.78328 + 3.47968i) q^{29} +(-1.21868 + 0.733257i) q^{30} +(-0.539044 - 3.28802i) q^{31} +(-0.907575 + 0.419889i) q^{32} +(3.81120 - 0.838909i) q^{33} +(1.18907 + 0.261734i) q^{34} +(-4.05948 - 1.87811i) q^{35} +(0.267528 - 0.963550i) q^{36} +(0.202533 + 3.73550i) q^{37} +(1.93706 - 2.28049i) q^{38} +(-1.75853 - 4.41358i) q^{39} +(0.230098 - 1.40353i) q^{40} +(-1.29174 - 4.65243i) q^{41} +(2.98026 - 1.00417i) q^{42} +(-4.27916 + 6.31129i) q^{43} +(-1.82794 + 3.44785i) q^{44} +(0.920758 + 1.08400i) q^{45} +(-0.539378 + 0.510926i) q^{46} +(-8.23410 + 0.895512i) q^{47} +(0.561187 + 0.827689i) q^{48} +(2.30097 + 1.74915i) q^{49} +(-2.16139 - 2.04738i) q^{50} +(0.0659161 - 1.21575i) q^{51} +(4.50232 + 1.51701i) q^{52} +(-2.61869 + 1.99067i) q^{53} +(-0.994138 - 0.108119i) q^{54} +(-2.59982 - 4.90378i) q^{55} +(-1.16404 + 2.92153i) q^{56} +(-2.56383 - 1.54260i) q^{57} -6.74941 q^{58} +(-7.47975 - 1.74739i) q^{59} -1.42227 q^{60} +(3.52216 + 2.11921i) q^{61} +(1.23327 - 3.09527i) q^{62} +(-1.47309 - 2.77855i) q^{63} +(-0.994138 - 0.108119i) q^{64} +(-5.37938 + 4.08930i) q^{65} +(3.69816 + 1.24606i) q^{66} +(0.226144 - 4.17099i) q^{67} +(0.883926 + 0.837300i) q^{68} +(0.591457 + 0.449614i) q^{69} +(-2.51012 - 3.70216i) q^{70} +(13.5250 - 1.47093i) q^{71} +(0.725995 - 0.687699i) q^{72} +(3.86281 + 4.54765i) q^{73} +(-1.75231 + 3.30521i) q^{74} +(-1.67074 + 2.46415i) q^{75} +(2.83550 - 0.955391i) q^{76} +(3.28331 + 11.8254i) q^{77} +(0.768629 - 4.68843i) q^{78} +(-5.26389 - 13.2114i) q^{79} +(0.920758 - 1.08400i) q^{80} +(0.0541389 + 0.998533i) q^{81} +(1.29174 - 4.65243i) q^{82} +(3.07032 + 1.42048i) q^{83} +(3.07136 + 0.676058i) q^{84} +(-1.69118 + 0.372257i) q^{85} +(-6.92044 + 3.20174i) q^{86} +(1.09193 + 6.66049i) q^{87} +(-3.34383 + 2.01192i) q^{88} +(-0.392511 + 0.236166i) q^{89} +(0.230098 + 1.40353i) q^{90} +(13.5605 - 6.27374i) q^{91} +(-0.725580 + 0.159712i) q^{92} +(-3.25401 - 0.716263i) q^{93} +(-7.51713 - 3.47780i) q^{94} +(-1.13850 + 4.10050i) q^{95} +(0.0541389 + 0.998533i) q^{96} +(-4.23708 + 4.98828i) q^{97} +(1.06982 + 2.68504i) q^{98} +(0.631345 - 3.85103i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + O(q^{10}) \) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + 2q^{10} + 30q^{11} + 2q^{12} + 5q^{13} + 28q^{14} + 2q^{15} - 2q^{16} - 3q^{17} + 2q^{18} - 4q^{19} - 2q^{20} + 28q^{21} - q^{22} - 2q^{23} - 2q^{24} + 64q^{25} - 34q^{26} + 2q^{27} + q^{28} + 8q^{29} - 2q^{30} + 2q^{32} - q^{33} + 32q^{34} - 87q^{35} - 2q^{36} + 47q^{37} + 4q^{38} - 5q^{39} + 2q^{40} + 3q^{41} + q^{42} - 61q^{43} + q^{44} - 2q^{45} - 27q^{46} + 50q^{47} + 2q^{48} - 45q^{49} - 6q^{50} + 3q^{51} - 24q^{52} - 27q^{53} - 2q^{54} - 95q^{55} - q^{56} + 4q^{57} + 50q^{58} - 58q^{59} + 2q^{60} - 74q^{61} - 29q^{62} + q^{63} - 2q^{64} - 17q^{65} + q^{66} + 4q^{67} - 32q^{68} + 31q^{69} - 58q^{70} - 47q^{71} + 2q^{72} + 43q^{73} - 18q^{74} - 6q^{75} - 33q^{76} - 5q^{77} + 5q^{78} + 19q^{79} - 2q^{80} - 2q^{81} - 3q^{82} + 47q^{83} - q^{84} - 149q^{85} - 55q^{86} + 21q^{87} + 28q^{88} + 36q^{89} + 2q^{90} + 175q^{91} - 2q^{92} - 29q^{93} - 21q^{94} + 50q^{95} - 2q^{96} + 10q^{97} - 13q^{98} + q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{5}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.856857 + 0.515554i 0.605890 + 0.364552i
\(3\) 0.370138 0.928977i 0.213699 0.536345i
\(4\) 0.468408 + 0.883512i 0.234204 + 0.441756i
\(5\) −1.41393 0.153774i −0.632330 0.0687700i −0.213659 0.976908i \(-0.568538\pi\)
−0.418671 + 0.908138i \(0.637504\pi\)
\(6\) 0.796093 0.605174i 0.325004 0.247061i
\(7\) 2.98026 + 1.00417i 1.12643 + 0.379540i 0.820006 0.572354i \(-0.193970\pi\)
0.306427 + 0.951894i \(0.400866\pi\)
\(8\) −0.0541389 + 0.998533i −0.0191410 + 0.353035i
\(9\) −0.725995 0.687699i −0.241998 0.229233i
\(10\) −1.13226 0.860721i −0.358052 0.272184i
\(11\) 2.19000 + 3.23001i 0.660310 + 0.973884i 0.999450 + 0.0331481i \(0.0105533\pi\)
−0.339141 + 0.940736i \(0.610136\pi\)
\(12\) 0.994138 0.108119i 0.286983 0.0312113i
\(13\) 3.44922 3.26727i 0.956640 0.906178i −0.0390200 0.999238i \(-0.512424\pi\)
0.995660 + 0.0930605i \(0.0296650\pi\)
\(14\) 2.03596 + 2.39691i 0.544133 + 0.640602i
\(15\) −0.666204 + 1.25659i −0.172013 + 0.324451i
\(16\) −0.561187 + 0.827689i −0.140297 + 0.206922i
\(17\) 1.15380 0.388761i 0.279838 0.0942885i −0.175883 0.984411i \(-0.556278\pi\)
0.455721 + 0.890123i \(0.349381\pi\)
\(18\) −0.267528 0.963550i −0.0630570 0.227111i
\(19\) 0.484072 2.95271i 0.111054 0.677398i −0.871355 0.490654i \(-0.836758\pi\)
0.982408 0.186745i \(-0.0597937\pi\)
\(20\) −0.526437 1.32126i −0.117715 0.295442i
\(21\) 2.03596 2.39691i 0.444282 0.523050i
\(22\) 0.211274 + 3.89672i 0.0450437 + 0.830783i
\(23\) −0.198760 + 0.715869i −0.0414443 + 0.149269i −0.981377 0.192090i \(-0.938473\pi\)
0.939933 + 0.341359i \(0.110887\pi\)
\(24\) 0.907575 + 0.419889i 0.185258 + 0.0857095i
\(25\) −2.90754 0.639998i −0.581508 0.128000i
\(26\) 4.63994 1.02133i 0.909967 0.200299i
\(27\) −0.907575 + 0.419889i −0.174663 + 0.0808077i
\(28\) 0.508786 + 3.10346i 0.0961516 + 0.586499i
\(29\) −5.78328 + 3.47968i −1.07393 + 0.646161i −0.938728 0.344658i \(-0.887995\pi\)
−0.135199 + 0.990818i \(0.543167\pi\)
\(30\) −1.21868 + 0.733257i −0.222500 + 0.133874i
\(31\) −0.539044 3.28802i −0.0968151 0.590546i −0.990023 0.140903i \(-0.954999\pi\)
0.893208 0.449643i \(-0.148449\pi\)
\(32\) −0.907575 + 0.419889i −0.160438 + 0.0742266i
\(33\) 3.81120 0.838909i 0.663445 0.146035i
\(34\) 1.18907 + 0.261734i 0.203924 + 0.0448871i
\(35\) −4.05948 1.87811i −0.686177 0.317459i
\(36\) 0.267528 0.963550i 0.0445881 0.160592i
\(37\) 0.202533 + 3.73550i 0.0332962 + 0.614113i 0.966798 + 0.255541i \(0.0822535\pi\)
−0.933502 + 0.358572i \(0.883264\pi\)
\(38\) 1.93706 2.28049i 0.314233 0.369944i
\(39\) −1.75853 4.41358i −0.281591 0.706739i
\(40\) 0.230098 1.40353i 0.0363817 0.221918i
\(41\) −1.29174 4.65243i −0.201736 0.726587i −0.993306 0.115509i \(-0.963150\pi\)
0.791570 0.611078i \(-0.209264\pi\)
\(42\) 2.98026 1.00417i 0.459865 0.154946i
\(43\) −4.27916 + 6.31129i −0.652566 + 0.962463i 0.347130 + 0.937817i \(0.387156\pi\)
−0.999696 + 0.0246459i \(0.992154\pi\)
\(44\) −1.82794 + 3.44785i −0.275572 + 0.519783i
\(45\) 0.920758 + 1.08400i 0.137259 + 0.161593i
\(46\) −0.539378 + 0.510926i −0.0795270 + 0.0753319i
\(47\) −8.23410 + 0.895512i −1.20107 + 0.130624i −0.686697 0.726944i \(-0.740940\pi\)
−0.514370 + 0.857568i \(0.671974\pi\)
\(48\) 0.561187 + 0.827689i 0.0810004 + 0.119467i
\(49\) 2.30097 + 1.74915i 0.328710 + 0.249879i
\(50\) −2.16139 2.04738i −0.305667 0.289544i
\(51\) 0.0659161 1.21575i 0.00923010 0.170239i
\(52\) 4.50232 + 1.51701i 0.624359 + 0.210371i
\(53\) −2.61869 + 1.99067i −0.359704 + 0.273440i −0.769380 0.638791i \(-0.779435\pi\)
0.409676 + 0.912231i \(0.365642\pi\)
\(54\) −0.994138 0.108119i −0.135285 0.0147131i
\(55\) −2.59982 4.90378i −0.350560 0.661225i
\(56\) −1.16404 + 2.92153i −0.155552 + 0.390406i
\(57\) −2.56383 1.54260i −0.339587 0.204323i
\(58\) −6.74941 −0.886241
\(59\) −7.47975 1.74739i −0.973780 0.227491i
\(60\) −1.42227 −0.183614
\(61\) 3.52216 + 2.11921i 0.450966 + 0.271337i 0.722866 0.690988i \(-0.242824\pi\)
−0.271900 + 0.962326i \(0.587652\pi\)
\(62\) 1.23327 3.09527i 0.156625 0.393100i
\(63\) −1.47309 2.77855i −0.185592 0.350064i
\(64\) −0.994138 0.108119i −0.124267 0.0135149i
\(65\) −5.37938 + 4.08930i −0.667230 + 0.507215i
\(66\) 3.69816 + 1.24606i 0.455212 + 0.153379i
\(67\) 0.226144 4.17099i 0.0276279 0.509567i −0.951667 0.307131i \(-0.900631\pi\)
0.979295 0.202437i \(-0.0648861\pi\)
\(68\) 0.883926 + 0.837300i 0.107192 + 0.101537i
\(69\) 0.591457 + 0.449614i 0.0712031 + 0.0541272i
\(70\) −2.51012 3.70216i −0.300017 0.442492i
\(71\) 13.5250 1.47093i 1.60512 0.174567i 0.738753 0.673976i \(-0.235415\pi\)
0.866367 + 0.499409i \(0.166449\pi\)
\(72\) 0.725995 0.687699i 0.0855594 0.0810462i
\(73\) 3.86281 + 4.54765i 0.452108 + 0.532262i 0.940242 0.340506i \(-0.110598\pi\)
−0.488135 + 0.872768i \(0.662323\pi\)
\(74\) −1.75231 + 3.30521i −0.203702 + 0.384223i
\(75\) −1.67074 + 2.46415i −0.192920 + 0.284536i
\(76\) 2.83550 0.955391i 0.325254 0.109591i
\(77\) 3.28331 + 11.8254i 0.374167 + 1.34763i
\(78\) 0.768629 4.68843i 0.0870301 0.530860i
\(79\) −5.26389 13.2114i −0.592234 1.48640i −0.853481 0.521124i \(-0.825513\pi\)
0.261247 0.965272i \(-0.415866\pi\)
\(80\) 0.920758 1.08400i 0.102944 0.121195i
\(81\) 0.0541389 + 0.998533i 0.00601543 + 0.110948i
\(82\) 1.29174 4.65243i 0.142649 0.513775i
\(83\) 3.07032 + 1.42048i 0.337012 + 0.155918i 0.581094 0.813836i \(-0.302625\pi\)
−0.244083 + 0.969754i \(0.578487\pi\)
\(84\) 3.07136 + 0.676058i 0.335113 + 0.0737640i
\(85\) −1.69118 + 0.372257i −0.183434 + 0.0403770i
\(86\) −6.92044 + 3.20174i −0.746250 + 0.345252i
\(87\) 1.09193 + 6.66049i 0.117067 + 0.714080i
\(88\) −3.34383 + 2.01192i −0.356454 + 0.214471i
\(89\) −0.392511 + 0.236166i −0.0416061 + 0.0250336i −0.536205 0.844088i \(-0.680143\pi\)
0.494599 + 0.869121i \(0.335315\pi\)
\(90\) 0.230098 + 1.40353i 0.0242544 + 0.147946i
\(91\) 13.5605 6.27374i 1.42152 0.657666i
\(92\) −0.725580 + 0.159712i −0.0756469 + 0.0166511i
\(93\) −3.25401 0.716263i −0.337426 0.0742730i
\(94\) −7.51713 3.47780i −0.775333 0.358707i
\(95\) −1.13850 + 4.10050i −0.116807 + 0.420702i
\(96\) 0.0541389 + 0.998533i 0.00552553 + 0.101912i
\(97\) −4.23708 + 4.98828i −0.430211 + 0.506483i −0.933965 0.357364i \(-0.883676\pi\)
0.503755 + 0.863847i \(0.331952\pi\)
\(98\) 1.06982 + 2.68504i 0.108068 + 0.271230i
\(99\) 0.631345 3.85103i 0.0634525 0.387043i
\(100\) −0.796471 2.86863i −0.0796471 0.286863i
\(101\) −17.4850 + 5.89137i −1.73982 + 0.586213i −0.996566 0.0827993i \(-0.973614\pi\)
−0.743251 + 0.669012i \(0.766717\pi\)
\(102\) 0.683266 1.00774i 0.0676534 0.0997813i
\(103\) 8.66333 16.3408i 0.853623 1.61010i 0.0628265 0.998024i \(-0.479989\pi\)
0.790796 0.612079i \(-0.209667\pi\)
\(104\) 3.07574 + 3.62104i 0.301601 + 0.355073i
\(105\) −3.24729 + 3.07600i −0.316903 + 0.300187i
\(106\) −3.27014 + 0.355649i −0.317624 + 0.0345437i
\(107\) −10.4436 15.4032i −1.00962 1.48908i −0.866374 0.499396i \(-0.833555\pi\)
−0.143250 0.989687i \(-0.545755\pi\)
\(108\) −0.796093 0.605174i −0.0766041 0.0582329i
\(109\) −0.847809 0.803088i −0.0812054 0.0769218i 0.646020 0.763320i \(-0.276432\pi\)
−0.727226 + 0.686398i \(0.759191\pi\)
\(110\) 0.300489 5.54219i 0.0286505 0.528427i
\(111\) 3.54516 + 1.19450i 0.336492 + 0.113377i
\(112\) −2.50362 + 1.90321i −0.236570 + 0.179836i
\(113\) 3.69473 + 0.401826i 0.347571 + 0.0378006i 0.280240 0.959930i \(-0.409586\pi\)
0.0673311 + 0.997731i \(0.478552\pi\)
\(114\) −1.40154 2.64358i −0.131266 0.247594i
\(115\) 0.391116 0.981627i 0.0364717 0.0915372i
\(116\) −5.78328 3.47968i −0.536964 0.323080i
\(117\) −4.75102 −0.439232
\(118\) −5.50820 5.35348i −0.507071 0.492827i
\(119\) 3.82902 0.351006
\(120\) −1.21868 0.733257i −0.111250 0.0669369i
\(121\) −1.56533 + 3.92868i −0.142303 + 0.357153i
\(122\) 1.92542 + 3.63172i 0.174319 + 0.328801i
\(123\) −4.80012 0.522045i −0.432812 0.0470712i
\(124\) 2.65251 2.01639i 0.238203 0.181077i
\(125\) 10.7518 + 3.62269i 0.961666 + 0.324023i
\(126\) 0.170261 3.14028i 0.0151680 0.279758i
\(127\) 3.88800 + 3.68291i 0.345005 + 0.326806i 0.840507 0.541801i \(-0.182257\pi\)
−0.495502 + 0.868607i \(0.665016\pi\)
\(128\) −0.796093 0.605174i −0.0703654 0.0534903i
\(129\) 4.27916 + 6.31129i 0.376759 + 0.555678i
\(130\) −6.71762 + 0.730585i −0.589174 + 0.0640766i
\(131\) 4.00138 3.79031i 0.349602 0.331161i −0.492667 0.870218i \(-0.663978\pi\)
0.842269 + 0.539057i \(0.181219\pi\)
\(132\) 2.52639 + 2.97429i 0.219894 + 0.258879i
\(133\) 4.40768 8.31377i 0.382194 0.720895i
\(134\) 2.34414 3.45735i 0.202503 0.298670i
\(135\) 1.34782 0.454133i 0.116002 0.0390856i
\(136\) 0.325726 + 1.17316i 0.0279307 + 0.100597i
\(137\) 0.868216 5.29588i 0.0741767 0.452458i −0.923457 0.383702i \(-0.874649\pi\)
0.997634 0.0687555i \(-0.0219028\pi\)
\(138\) 0.274994 + 0.690183i 0.0234090 + 0.0587523i
\(139\) −11.5682 + 13.6191i −0.981200 + 1.15516i 0.00668578 + 0.999978i \(0.497872\pi\)
−0.987886 + 0.155181i \(0.950404\pi\)
\(140\) −0.242157 4.46632i −0.0204660 0.377473i
\(141\) −2.21584 + 7.98075i −0.186608 + 0.672100i
\(142\) 12.3473 + 5.71248i 1.03616 + 0.479381i
\(143\) 18.1071 + 3.98567i 1.51419 + 0.333299i
\(144\) 0.976621 0.214970i 0.0813850 0.0179142i
\(145\) 8.71225 4.03072i 0.723513 0.334733i
\(146\) 0.965317 + 5.88817i 0.0798902 + 0.487309i
\(147\) 2.47660 1.49012i 0.204266 0.122903i
\(148\) −3.20549 + 1.92868i −0.263490 + 0.158537i
\(149\) −0.158774 0.968478i −0.0130073 0.0793408i 0.979525 0.201322i \(-0.0645236\pi\)
−0.992532 + 0.121981i \(0.961075\pi\)
\(150\) −2.70198 + 1.25007i −0.220616 + 0.102068i
\(151\) 18.0589 3.97505i 1.46961 0.323485i 0.593201 0.805055i \(-0.297864\pi\)
0.876408 + 0.481569i \(0.159933\pi\)
\(152\) 2.92217 + 0.643219i 0.237020 + 0.0521720i
\(153\) −1.10501 0.511231i −0.0893345 0.0413305i
\(154\) −3.28331 + 11.8254i −0.264576 + 0.952918i
\(155\) 0.256558 + 4.73193i 0.0206072 + 0.380078i
\(156\) 3.07574 3.62104i 0.246256 0.289916i
\(157\) 1.65264 + 4.14782i 0.131895 + 0.331032i 0.980060 0.198700i \(-0.0636719\pi\)
−0.848165 + 0.529732i \(0.822293\pi\)
\(158\) 2.30077 14.0341i 0.183039 1.11649i
\(159\) 0.880013 + 3.16952i 0.0697896 + 0.251359i
\(160\) 1.34782 0.454133i 0.106554 0.0359024i
\(161\) −1.31121 + 1.93389i −0.103338 + 0.152412i
\(162\) −0.468408 + 0.883512i −0.0368016 + 0.0694153i
\(163\) −5.19742 6.11888i −0.407093 0.479268i 0.519963 0.854189i \(-0.325946\pi\)
−0.927057 + 0.374921i \(0.877670\pi\)
\(164\) 3.50541 3.32051i 0.273727 0.259288i
\(165\) −5.51779 + 0.600096i −0.429559 + 0.0467174i
\(166\) 1.89849 + 2.80007i 0.147352 + 0.217327i
\(167\) 11.2403 + 8.54467i 0.869802 + 0.661207i 0.941791 0.336199i \(-0.109141\pi\)
−0.0719886 + 0.997405i \(0.522935\pi\)
\(168\) 2.28317 + 2.16274i 0.176151 + 0.166859i
\(169\) 0.518226 9.55811i 0.0398635 0.735240i
\(170\) −1.64102 0.552924i −0.125860 0.0424073i
\(171\) −2.38201 + 1.81076i −0.182157 + 0.138472i
\(172\) −7.58050 0.824429i −0.578007 0.0628621i
\(173\) −5.88005 11.0910i −0.447052 0.843230i −0.999950 0.00998092i \(-0.996823\pi\)
0.552898 0.833249i \(-0.313522\pi\)
\(174\) −2.49821 + 6.27004i −0.189389 + 0.475331i
\(175\) −8.02258 4.82702i −0.606450 0.364889i
\(176\) −3.90244 −0.294157
\(177\) −4.39182 + 6.30174i −0.330110 + 0.473667i
\(178\) −0.458082 −0.0343347
\(179\) −1.00583 0.605189i −0.0751794 0.0452340i 0.477468 0.878649i \(-0.341555\pi\)
−0.552647 + 0.833415i \(0.686382\pi\)
\(180\) −0.526437 + 1.32126i −0.0392383 + 0.0984806i
\(181\) 11.8051 + 22.2667i 0.877465 + 1.65507i 0.748210 + 0.663462i \(0.230914\pi\)
0.129255 + 0.991611i \(0.458742\pi\)
\(182\) 14.8538 + 1.61545i 1.10104 + 0.119745i
\(183\) 3.27238 2.48760i 0.241901 0.183889i
\(184\) −0.704059 0.237225i −0.0519039 0.0174885i
\(185\) 0.288057 5.31290i 0.0211784 0.390612i
\(186\) −2.41895 2.29135i −0.177366 0.168010i
\(187\) 3.78253 + 2.87540i 0.276606 + 0.210270i
\(188\) −4.64812 6.85546i −0.338999 0.499986i
\(189\) −3.12645 + 0.340022i −0.227416 + 0.0247330i
\(190\) −3.08956 + 2.92658i −0.224140 + 0.212317i
\(191\) 11.8729 + 13.9779i 0.859093 + 1.01140i 0.999772 + 0.0213467i \(0.00679539\pi\)
−0.140680 + 0.990055i \(0.544929\pi\)
\(192\) −0.468408 + 0.883512i −0.0338045 + 0.0637620i
\(193\) −12.7878 + 18.8606i −0.920488 + 1.35762i 0.0133452 + 0.999911i \(0.495752\pi\)
−0.933834 + 0.357708i \(0.883558\pi\)
\(194\) −6.20230 + 2.08980i −0.445299 + 0.150039i
\(195\) 1.80775 + 6.51093i 0.129456 + 0.466257i
\(196\) −0.467603 + 2.85225i −0.0334002 + 0.203732i
\(197\) 5.83170 + 14.6365i 0.415492 + 1.04281i 0.976600 + 0.215063i \(0.0689957\pi\)
−0.561109 + 0.827742i \(0.689625\pi\)
\(198\) 2.52639 2.97429i 0.179542 0.211374i
\(199\) 1.49775 + 27.6244i 0.106173 + 1.95824i 0.249027 + 0.968497i \(0.419889\pi\)
−0.142854 + 0.989744i \(0.545628\pi\)
\(200\) 0.796471 2.86863i 0.0563190 0.202843i
\(201\) −3.79105 1.75393i −0.267400 0.123712i
\(202\) −18.0194 3.96637i −1.26784 0.279073i
\(203\) −20.7299 + 4.56299i −1.45495 + 0.320259i
\(204\) 1.10501 0.511231i 0.0773659 0.0357933i
\(205\) 1.11101 + 6.77686i 0.0775963 + 0.473316i
\(206\) 15.8478 9.53529i 1.10417 0.664355i
\(207\) 0.636602 0.383031i 0.0442469 0.0266225i
\(208\) 0.768629 + 4.68843i 0.0532948 + 0.325084i
\(209\) 10.5974 4.90288i 0.733037 0.339139i
\(210\) −4.36831 + 0.961538i −0.301442 + 0.0663524i
\(211\) −15.9573 3.51247i −1.09855 0.241809i −0.371525 0.928423i \(-0.621165\pi\)
−0.727022 + 0.686614i \(0.759096\pi\)
\(212\) −2.98540 1.38119i −0.205038 0.0948607i
\(213\) 3.63965 13.1088i 0.249385 0.898203i
\(214\) −1.00752 18.5826i −0.0688726 1.27028i
\(215\) 7.02096 8.26572i 0.478826 0.563717i
\(216\) −0.370138 0.928977i −0.0251847 0.0632089i
\(217\) 1.69523 10.3405i 0.115080 0.701956i
\(218\) −0.312417 1.12522i −0.0211595 0.0762097i
\(219\) 5.65443 1.90520i 0.382091 0.128742i
\(220\) 3.11477 4.59394i 0.209998 0.309724i
\(221\) 2.70953 5.11071i 0.182262 0.343784i
\(222\) 2.42187 + 2.85124i 0.162545 + 0.191363i
\(223\) 6.66949 6.31768i 0.446622 0.423063i −0.431047 0.902329i \(-0.641856\pi\)
0.877669 + 0.479266i \(0.159097\pi\)
\(224\) −3.12645 + 0.340022i −0.208895 + 0.0227187i
\(225\) 1.67074 + 2.46415i 0.111382 + 0.164277i
\(226\) 2.95869 + 2.24914i 0.196809 + 0.149610i
\(227\) 0.112336 + 0.106410i 0.00745597 + 0.00706267i 0.691418 0.722455i \(-0.256986\pi\)
−0.683962 + 0.729517i \(0.739745\pi\)
\(228\) 0.161991 2.98774i 0.0107281 0.197868i
\(229\) 9.74796 + 3.28447i 0.644164 + 0.217044i 0.622376 0.782719i \(-0.286168\pi\)
0.0217879 + 0.999763i \(0.493064\pi\)
\(230\) 0.841212 0.639473i 0.0554679 0.0421656i
\(231\) 12.2008 + 1.32692i 0.802753 + 0.0873047i
\(232\) −3.16148 5.96318i −0.207561 0.391502i
\(233\) −3.04114 + 7.63268i −0.199232 + 0.500034i −0.994316 0.106465i \(-0.966047\pi\)
0.795085 + 0.606498i \(0.207426\pi\)
\(234\) −4.07094 2.44940i −0.266126 0.160123i
\(235\) 11.7802 0.768454
\(236\) −1.95974 7.42694i −0.127568 0.483453i
\(237\) −14.2214 −0.923781
\(238\) 3.28092 + 1.97407i 0.212671 + 0.127960i
\(239\) 7.71704 19.3683i 0.499174 1.25283i −0.436416 0.899745i \(-0.643752\pi\)
0.935590 0.353088i \(-0.114868\pi\)
\(240\) −0.666204 1.25659i −0.0430033 0.0811127i
\(241\) 23.8465 + 2.59346i 1.53609 + 0.167059i 0.836691 0.547675i \(-0.184487\pi\)
0.699396 + 0.714735i \(0.253453\pi\)
\(242\) −3.36671 + 2.55931i −0.216420 + 0.164518i
\(243\) 0.947653 + 0.319302i 0.0607920 + 0.0204832i
\(244\) −0.222541 + 4.10452i −0.0142467 + 0.262765i
\(245\) −2.98444 2.82701i −0.190669 0.180611i
\(246\) −3.84388 2.92204i −0.245077 0.186302i
\(247\) −7.97764 11.7661i −0.507605 0.748661i
\(248\) 3.31238 0.360243i 0.210336 0.0228755i
\(249\) 2.45604 2.32648i 0.155645 0.147435i
\(250\) 7.34503 + 8.64723i 0.464540 + 0.546899i
\(251\) 6.31814 11.9173i 0.398797 0.752211i −0.600063 0.799953i \(-0.704858\pi\)
0.998860 + 0.0477418i \(0.0152025\pi\)
\(252\) 1.76487 2.60299i 0.111176 0.163973i
\(253\) −2.74755 + 0.925756i −0.172737 + 0.0582018i
\(254\) 1.43272 + 5.16021i 0.0898971 + 0.323780i
\(255\) −0.280153 + 1.70886i −0.0175438 + 0.107013i
\(256\) −0.370138 0.928977i −0.0231336 0.0580610i
\(257\) 5.51363 6.49115i 0.343931 0.404907i −0.562816 0.826582i \(-0.690282\pi\)
0.906747 + 0.421676i \(0.138558\pi\)
\(258\) 0.412820 + 7.61401i 0.0257010 + 0.474028i
\(259\) −3.14747 + 11.3362i −0.195574 + 0.704395i
\(260\) −6.13270 2.83729i −0.380334 0.175961i
\(261\) 6.59161 + 1.45092i 0.408010 + 0.0898099i
\(262\) 5.38272 1.18483i 0.332545 0.0731988i
\(263\) −2.46936 + 1.14245i −0.152267 + 0.0704463i −0.494543 0.869153i \(-0.664664\pi\)
0.342276 + 0.939600i \(0.388802\pi\)
\(264\) 0.631345 + 3.85103i 0.0388566 + 0.237015i
\(265\) 4.00876 2.41199i 0.246256 0.148167i
\(266\) 8.06295 4.85131i 0.494371 0.297453i
\(267\) 0.0741095 + 0.452048i 0.00453542 + 0.0276649i
\(268\) 3.79105 1.75393i 0.231575 0.107138i
\(269\) 10.5631 2.32512i 0.644045 0.141765i 0.119075 0.992885i \(-0.462007\pi\)
0.524971 + 0.851120i \(0.324076\pi\)
\(270\) 1.38902 + 0.305746i 0.0845330 + 0.0186071i
\(271\) −22.6498 10.4789i −1.37588 0.636550i −0.414064 0.910248i \(-0.635891\pi\)
−0.961816 + 0.273698i \(0.911753\pi\)
\(272\) −0.325726 + 1.17316i −0.0197500 + 0.0711331i
\(273\) −0.808912 14.9195i −0.0489576 0.902969i
\(274\) 3.47425 4.09020i 0.209887 0.247098i
\(275\) −4.30032 10.7930i −0.259319 0.650841i
\(276\) −0.120196 + 0.733162i −0.00723494 + 0.0441312i
\(277\) 5.20306 + 18.7397i 0.312621 + 1.12596i 0.938284 + 0.345866i \(0.112415\pi\)
−0.625662 + 0.780094i \(0.715171\pi\)
\(278\) −16.9337 + 5.70562i −1.01561 + 0.342200i
\(279\) −1.86983 + 2.75779i −0.111944 + 0.165104i
\(280\) 2.09514 3.95185i 0.125208 0.236168i
\(281\) −15.7605 18.5547i −0.940191 1.10688i −0.994115 0.108334i \(-0.965448\pi\)
0.0539232 0.998545i \(-0.482827\pi\)
\(282\) −6.01317 + 5.69598i −0.358079 + 0.339190i
\(283\) −6.22171 + 0.676651i −0.369842 + 0.0402227i −0.291153 0.956676i \(-0.594039\pi\)
−0.0786889 + 0.996899i \(0.525073\pi\)
\(284\) 7.63480 + 11.2605i 0.453042 + 0.668187i
\(285\) 3.38787 + 2.57539i 0.200680 + 0.152553i
\(286\) 13.4604 + 12.7503i 0.795928 + 0.753943i
\(287\) 0.822092 15.1626i 0.0485265 0.895019i
\(288\) 0.947653 + 0.319302i 0.0558410 + 0.0188150i
\(289\) −12.3535 + 9.39085i −0.726674 + 0.552403i
\(290\) 9.54321 + 1.03789i 0.560397 + 0.0609468i
\(291\) 3.06569 + 5.78251i 0.179714 + 0.338977i
\(292\) −2.20853 + 5.54300i −0.129245 + 0.324379i
\(293\) 3.45068 + 2.07621i 0.201591 + 0.121293i 0.612770 0.790261i \(-0.290055\pi\)
−0.411179 + 0.911555i \(0.634883\pi\)
\(294\) 2.89032 0.168567
\(295\) 10.3072 + 3.62089i 0.600106 + 0.210816i
\(296\) −3.74099 −0.217441
\(297\) −3.34383 2.01192i −0.194029 0.116743i
\(298\) 0.363256 0.911704i 0.0210429 0.0528136i
\(299\) 1.65337 + 3.11859i 0.0956170 + 0.180353i
\(300\) −2.95969 0.321886i −0.170878 0.0185841i
\(301\) −19.0906 + 14.5123i −1.10037 + 0.836476i
\(302\) 17.5232 + 5.90426i 1.00835 + 0.339752i
\(303\) −0.998906 + 18.4237i −0.0573856 + 1.05842i
\(304\) 2.17227 + 2.05768i 0.124588 + 0.118016i
\(305\) −4.65421 3.53804i −0.266499 0.202588i
\(306\) −0.683266 1.00774i −0.0390597 0.0576088i
\(307\) −23.8684 + 2.59585i −1.36224 + 0.148153i −0.759877 0.650067i \(-0.774741\pi\)
−0.602366 + 0.798220i \(0.705775\pi\)
\(308\) −8.90995 + 8.43996i −0.507692 + 0.480911i
\(309\) −11.9736 14.0964i −0.681152 0.801915i
\(310\) −2.21973 + 4.18686i −0.126072 + 0.237798i
\(311\) 5.74462 8.47267i 0.325747 0.480441i −0.629189 0.777252i \(-0.716613\pi\)
0.954936 + 0.296811i \(0.0959232\pi\)
\(312\) 4.50232 1.51701i 0.254893 0.0858836i
\(313\) −5.80116 20.8939i −0.327901 1.18099i −0.925359 0.379092i \(-0.876236\pi\)
0.597458 0.801900i \(-0.296177\pi\)
\(314\) −0.722346 + 4.40612i −0.0407643 + 0.248651i
\(315\) 1.65558 + 4.15520i 0.0932816 + 0.234119i
\(316\) 9.20676 10.8390i 0.517921 0.609743i
\(317\) −1.32734 24.4813i −0.0745506 1.37501i −0.761436 0.648240i \(-0.775505\pi\)
0.686886 0.726766i \(-0.258977\pi\)
\(318\) −0.880013 + 3.16952i −0.0493487 + 0.177738i
\(319\) −23.9048 11.0595i −1.33841 0.619214i
\(320\) 1.38902 + 0.305746i 0.0776485 + 0.0170917i
\(321\) −18.1748 + 4.00057i −1.01442 + 0.223290i
\(322\) −2.12054 + 0.981068i −0.118173 + 0.0546728i
\(323\) −0.589376 3.59504i −0.0327938 0.200033i
\(324\) −0.856857 + 0.515554i −0.0476032 + 0.0286419i
\(325\) −12.1198 + 7.29224i −0.672285 + 0.404500i
\(326\) −1.29884 7.92256i −0.0719359 0.438790i
\(327\) −1.05986 + 0.490342i −0.0586102 + 0.0271160i
\(328\) 4.71554 1.03797i 0.260372 0.0573122i
\(329\) −25.4390 5.59956i −1.40250 0.308713i
\(330\) −5.03734 2.33052i −0.277296 0.128291i
\(331\) −2.82410 + 10.1715i −0.155227 + 0.559076i 0.844497 + 0.535561i \(0.179900\pi\)
−0.999723 + 0.0235156i \(0.992514\pi\)
\(332\) 0.183152 + 3.37803i 0.0100518 + 0.185394i
\(333\) 2.42187 2.85124i 0.132717 0.156247i
\(334\) 5.22611 + 13.1166i 0.285960 + 0.717706i
\(335\) −0.961145 + 5.86273i −0.0525130 + 0.320315i
\(336\) 0.841347 + 3.03026i 0.0458992 + 0.165314i
\(337\) −17.5924 + 5.92758i −0.958321 + 0.322896i −0.754638 0.656141i \(-0.772188\pi\)
−0.203683 + 0.979037i \(0.565291\pi\)
\(338\) 5.37177 7.92277i 0.292186 0.430942i
\(339\) 1.74085 3.28358i 0.0945498 0.178340i
\(340\) −1.12106 1.31981i −0.0607979 0.0715768i
\(341\) 9.43982 8.94187i 0.511195 0.484230i
\(342\) −2.97459 + 0.323506i −0.160847 + 0.0174932i
\(343\) −7.25305 10.6974i −0.391628 0.577608i
\(344\) −6.07037 4.61457i −0.327292 0.248801i
\(345\) −0.767142 0.726675i −0.0413015 0.0391229i
\(346\) 0.679620 12.5349i 0.0365366 0.673878i
\(347\) 10.4412 + 3.51805i 0.560513 + 0.188859i 0.585276 0.810834i \(-0.300986\pi\)
−0.0247623 + 0.999693i \(0.507883\pi\)
\(348\) −5.37316 + 4.08457i −0.288031 + 0.218956i
\(349\) 15.0815 + 1.64021i 0.807293 + 0.0877984i 0.502452 0.864605i \(-0.332431\pi\)
0.304841 + 0.952403i \(0.401397\pi\)
\(350\) −4.38561 8.27214i −0.234421 0.442165i
\(351\) −1.75853 + 4.41358i −0.0938635 + 0.235580i
\(352\) −3.34383 2.01192i −0.178227 0.107236i
\(353\) −22.9950 −1.22390 −0.611951 0.790896i \(-0.709615\pi\)
−0.611951 + 0.790896i \(0.709615\pi\)
\(354\) −7.01205 + 3.13547i −0.372686 + 0.166648i
\(355\) −19.3496 −1.02697
\(356\) −0.392511 0.236166i −0.0208030 0.0125168i
\(357\) 1.41727 3.55707i 0.0750097 0.188260i
\(358\) −0.549847 1.03712i −0.0290603 0.0548136i
\(359\) 21.2106 + 2.30680i 1.11945 + 0.121748i 0.649081 0.760719i \(-0.275154\pi\)
0.470374 + 0.882467i \(0.344119\pi\)
\(360\) −1.13226 + 0.860721i −0.0596753 + 0.0453640i
\(361\) 9.52123 + 3.20808i 0.501118 + 0.168846i
\(362\) −1.36444 + 25.1656i −0.0717132 + 1.32267i
\(363\) 3.07026 + 2.90831i 0.161147 + 0.152647i
\(364\) 11.8948 + 9.04216i 0.623455 + 0.473938i
\(365\) −4.76244 7.02407i −0.249278 0.367657i
\(366\) 4.08646 0.444429i 0.213602 0.0232307i
\(367\) 22.0694 20.9052i 1.15201 1.09124i 0.157405 0.987534i \(-0.449687\pi\)
0.994608 0.103710i \(-0.0330715\pi\)
\(368\) −0.480975 0.566248i −0.0250726 0.0295177i
\(369\) −2.26168 + 4.26597i −0.117738 + 0.222078i
\(370\) 2.98591 4.40388i 0.155230 0.228947i
\(371\) −9.80334 + 3.30313i −0.508964 + 0.171490i
\(372\) −0.891381 3.21046i −0.0462160 0.166455i
\(373\) −4.56686 + 27.8566i −0.236463 + 1.44236i 0.555359 + 0.831611i \(0.312581\pi\)
−0.791822 + 0.610751i \(0.790867\pi\)
\(374\) 1.75866 + 4.41391i 0.0909382 + 0.228238i
\(375\) 7.34503 8.64723i 0.379295 0.446541i
\(376\) −0.448414 8.27051i −0.0231252 0.426519i
\(377\) −8.57871 + 30.8977i −0.441826 + 1.59131i
\(378\) −2.85422 1.32050i −0.146805 0.0679194i
\(379\) −28.6174 6.29916i −1.46997 0.323566i −0.593430 0.804886i \(-0.702226\pi\)
−0.876545 + 0.481320i \(0.840158\pi\)
\(380\) −4.15612 + 0.914831i −0.213205 + 0.0469299i
\(381\) 4.86044 2.24868i 0.249008 0.115203i
\(382\) 2.96704 + 18.0981i 0.151807 + 0.925981i
\(383\) −27.9167 + 16.7969i −1.42648 + 0.858284i −0.998954 0.0457205i \(-0.985442\pi\)
−0.427524 + 0.904004i \(0.640614\pi\)
\(384\) −0.856857 + 0.515554i −0.0437263 + 0.0263092i
\(385\) −2.82393 17.2252i −0.143921 0.877878i
\(386\) −20.6810 + 9.56806i −1.05264 + 0.487001i
\(387\) 7.44692 1.63919i 0.378548 0.0833248i
\(388\) −6.39189 1.40696i −0.324499 0.0714277i
\(389\) 12.7219 + 5.88577i 0.645025 + 0.298420i 0.714996 0.699129i \(-0.246429\pi\)
−0.0699708 + 0.997549i \(0.522291\pi\)
\(390\) −1.80775 + 6.51093i −0.0915390 + 0.329694i
\(391\) 0.0489724 + 0.903242i 0.00247664 + 0.0456789i
\(392\) −1.87116 + 2.20290i −0.0945077 + 0.111263i
\(393\) −2.04004 5.12013i −0.102907 0.258276i
\(394\) −2.54895 + 15.5479i −0.128414 + 0.783293i
\(395\) 5.41122 + 19.4895i 0.272268 + 0.980621i
\(396\) 3.69816 1.24606i 0.185840 0.0626166i
\(397\) 20.3356 29.9928i 1.02062 1.50530i 0.165939 0.986136i \(-0.446935\pi\)
0.854677 0.519160i \(-0.173755\pi\)
\(398\) −12.9585 + 24.4423i −0.649551 + 1.22518i
\(399\) −6.09185 7.17188i −0.304974 0.359043i
\(400\) 2.16139 2.04738i 0.108070 0.102369i
\(401\) 30.2294 3.28764i 1.50958 0.164177i 0.684427 0.729082i \(-0.260053\pi\)
0.825156 + 0.564905i \(0.191087\pi\)
\(402\) −2.34414 3.45735i −0.116915 0.172437i
\(403\) −12.6021 9.57989i −0.627757 0.477208i
\(404\) −13.3952 12.6886i −0.666436 0.631281i
\(405\) 0.0770002 1.42018i 0.00382617 0.0705695i
\(406\) −20.1150 6.77754i −0.998291 0.336364i
\(407\) −11.6222 + 8.83493i −0.576089 + 0.437931i
\(408\) 1.21040 + 0.131639i 0.0599237 + 0.00651710i
\(409\) 1.64942 + 3.11114i 0.0815586 + 0.153836i 0.920937 0.389712i \(-0.127425\pi\)
−0.839378 + 0.543548i \(0.817081\pi\)
\(410\) −2.54186 + 6.37959i −0.125534 + 0.315065i
\(411\) −4.59839 2.76676i −0.226822 0.136474i
\(412\) 18.4952 0.911195
\(413\) −20.5369 12.7186i −1.01056 0.625842i
\(414\) 0.742950 0.0365140
\(415\) −4.12280 2.48061i −0.202380 0.121768i
\(416\) −1.75853 + 4.41358i −0.0862191 + 0.216394i
\(417\) 8.37002 + 15.7875i 0.409881 + 0.773118i
\(418\) 11.6082 + 1.26246i 0.567773 + 0.0617491i
\(419\) 22.6350 17.2067i 1.10579 0.840602i 0.117485 0.993075i \(-0.462517\pi\)
0.988308 + 0.152473i \(0.0487237\pi\)
\(420\) −4.23874 1.42820i −0.206829 0.0696889i
\(421\) 0.431075 7.95071i 0.0210093 0.387494i −0.969052 0.246857i \(-0.920602\pi\)
0.990061 0.140637i \(-0.0449150\pi\)
\(422\) −11.8623 11.2365i −0.577447 0.546987i
\(423\) 6.59376 + 5.01245i 0.320600 + 0.243714i
\(424\) −1.84598 2.72262i −0.0896488 0.132222i
\(425\) −3.60354 + 0.391908i −0.174797 + 0.0190103i
\(426\) 9.87697 9.35597i 0.478541 0.453298i
\(427\) 8.36891 + 9.85264i 0.405000 + 0.476803i
\(428\) 8.71702 16.4421i 0.421353 0.794757i
\(429\) 10.4047 15.3458i 0.502345 0.740903i
\(430\) 10.2774 3.46285i 0.495620 0.166994i
\(431\) 3.91821 + 14.1121i 0.188734 + 0.679757i 0.995983 + 0.0895459i \(0.0285416\pi\)
−0.807249 + 0.590211i \(0.799045\pi\)
\(432\) 0.161782 0.986827i 0.00778374 0.0474787i
\(433\) 0.609468 + 1.52965i 0.0292892 + 0.0735102i 0.942894 0.333093i \(-0.108092\pi\)
−0.913605 + 0.406603i \(0.866713\pi\)
\(434\) 6.78363 7.98631i 0.325625 0.383355i
\(435\) −0.519706 9.58540i −0.0249180 0.459585i
\(436\) 0.312417 1.12522i 0.0149620 0.0538884i
\(437\) 2.01754 + 0.933414i 0.0965120 + 0.0446512i
\(438\) 5.82728 + 1.28268i 0.278438 + 0.0612888i
\(439\) 1.65556 0.364416i 0.0790156 0.0173927i −0.175287 0.984517i \(-0.556085\pi\)
0.254302 + 0.967125i \(0.418154\pi\)
\(440\) 5.03734 2.33052i 0.240146 0.111103i
\(441\) −0.467603 2.85225i −0.0222668 0.135821i
\(442\) 4.95652 2.98224i 0.235758 0.141851i
\(443\) −10.3251 + 6.21238i −0.490558 + 0.295159i −0.739259 0.673421i \(-0.764824\pi\)
0.248701 + 0.968580i \(0.419996\pi\)
\(444\) 0.605225 + 3.69171i 0.0287227 + 0.175201i
\(445\) 0.591301 0.273565i 0.0280303 0.0129682i
\(446\) 8.97190 1.97486i 0.424832 0.0935126i
\(447\) −0.958462 0.210973i −0.0453337 0.00997870i
\(448\) −2.85422 1.32050i −0.134849 0.0623880i
\(449\) 0.239851 0.863865i 0.0113193 0.0407683i −0.957675 0.287853i \(-0.907059\pi\)
0.968994 + 0.247084i \(0.0794725\pi\)
\(450\) 0.161179 + 2.97278i 0.00759807 + 0.140138i
\(451\) 12.1985 14.3611i 0.574403 0.676240i
\(452\) 1.37562 + 3.45255i 0.0647039 + 0.162394i
\(453\) 2.99154 18.2476i 0.140555 0.857346i
\(454\) 0.0413955 + 0.149093i 0.00194279 + 0.00699728i
\(455\) −20.1383 + 6.78539i −0.944099 + 0.318104i
\(456\) 1.67914 2.47655i 0.0786331 0.115975i
\(457\) 4.06295 7.66354i 0.190057 0.358485i −0.770111 0.637910i \(-0.779799\pi\)
0.960167 + 0.279425i \(0.0901439\pi\)
\(458\) 6.65929 + 7.83992i 0.311168 + 0.366336i
\(459\) −0.883926 + 0.837300i −0.0412582 + 0.0390818i
\(460\) 1.05048 0.114247i 0.0489789 0.00532678i
\(461\) 14.6787 + 21.6494i 0.683654 + 1.00831i 0.998253 + 0.0590897i \(0.0188198\pi\)
−0.314598 + 0.949225i \(0.601870\pi\)
\(462\) 9.77024 + 7.42715i 0.454553 + 0.345542i
\(463\) −3.07381 2.91167i −0.142852 0.135317i 0.612937 0.790132i \(-0.289988\pi\)
−0.755789 + 0.654815i \(0.772747\pi\)
\(464\) 0.365406 6.73951i 0.0169635 0.312874i
\(465\) 4.49082 + 1.51313i 0.208257 + 0.0701698i
\(466\) −6.54088 + 4.97225i −0.303000 + 0.230335i
\(467\) −0.862371 0.0937885i −0.0399058 0.00434001i 0.0881444 0.996108i \(-0.471906\pi\)
−0.128050 + 0.991768i \(0.540872\pi\)
\(468\) −2.22542 4.19758i −0.102870 0.194033i
\(469\) 4.86234 12.2036i 0.224522 0.563508i
\(470\) 10.0939 + 6.07331i 0.465598 + 0.280141i
\(471\) 4.46493 0.205733
\(472\) 2.14977 7.37418i 0.0989513 0.339424i
\(473\) −29.7569 −1.36822
\(474\) −12.1857 7.33191i −0.559709 0.336766i
\(475\) −3.29719 + 8.27533i −0.151286 + 0.379698i
\(476\) 1.79354 + 3.38298i 0.0822070 + 0.155059i
\(477\) 3.27014 + 0.355649i 0.149729 + 0.0162840i
\(478\) 16.5978 12.6173i 0.759167 0.577103i
\(479\) 13.6537 + 4.60047i 0.623854 + 0.210201i 0.613435 0.789745i \(-0.289787\pi\)
0.0104183 + 0.999946i \(0.496684\pi\)
\(480\) 0.0770002 1.42018i 0.00351456 0.0648223i
\(481\) 12.9035 + 12.2228i 0.588348 + 0.557313i
\(482\) 19.0960 + 14.5164i 0.869797 + 0.661202i
\(483\) 1.31121 + 1.93389i 0.0596621 + 0.0879951i
\(484\) −4.20425 + 0.457239i −0.191102 + 0.0207836i
\(485\) 6.75802 6.40154i 0.306866 0.290679i
\(486\) 0.647386 + 0.762162i 0.0293660 + 0.0345724i
\(487\) 9.59484 18.0978i 0.434784 0.820089i −0.565205 0.824951i \(-0.691203\pi\)
0.999988 + 0.00486184i \(0.00154758\pi\)
\(488\) −2.30679 + 3.40226i −0.104423 + 0.154013i
\(489\) −7.60806 + 2.56345i −0.344048 + 0.115923i
\(490\) −1.09976 3.96098i −0.0496822 0.178939i
\(491\) −3.52993 + 21.5316i −0.159304 + 0.971709i 0.779285 + 0.626670i \(0.215583\pi\)
−0.938588 + 0.345039i \(0.887866\pi\)
\(492\) −1.78718 4.48549i −0.0805725 0.202222i
\(493\) −5.32000 + 6.26318i −0.239601 + 0.282080i
\(494\) −0.769620 14.1948i −0.0346268 0.638654i
\(495\) −1.48487 + 5.34802i −0.0667399 + 0.240375i
\(496\) 3.02396 + 1.39903i 0.135780 + 0.0628185i
\(497\) 41.7851 + 9.19759i 1.87432 + 0.412568i
\(498\) 3.30390 0.727244i 0.148051 0.0325886i
\(499\) −35.2476 + 16.3073i −1.57790 + 0.730014i −0.996499 0.0836035i \(-0.973357\pi\)
−0.581400 + 0.813618i \(0.697495\pi\)
\(500\) 1.83552 + 11.1962i 0.0820871 + 0.500709i
\(501\) 12.0983 7.27929i 0.540511 0.325215i
\(502\) 11.5577 6.95406i 0.515847 0.310375i
\(503\) −3.25373 19.8469i −0.145077 0.884928i −0.954611 0.297856i \(-0.903729\pi\)
0.809534 0.587072i \(-0.199720\pi\)
\(504\) 2.85422 1.32050i 0.127137 0.0588199i
\(505\) 25.6285 5.64126i 1.14045 0.251033i
\(506\) −2.83153 0.623267i −0.125877 0.0277076i
\(507\) −8.68745 4.01924i −0.385823 0.178501i
\(508\) −1.43272 + 5.16021i −0.0635668 + 0.228947i
\(509\) −0.412396 7.60619i −0.0182791 0.337139i −0.993341 0.115207i \(-0.963247\pi\)
0.975062 0.221931i \(-0.0712360\pi\)
\(510\) −1.12106 + 1.31981i −0.0496413 + 0.0584422i
\(511\) 6.94559 + 17.4321i 0.307255 + 0.771151i
\(512\) 0.161782 0.986827i 0.00714982 0.0436120i
\(513\) 0.800479 + 2.88306i 0.0353420 + 0.127290i
\(514\) 8.07093 2.71941i 0.355993 0.119948i
\(515\) −14.7622 + 21.7726i −0.650498 + 0.959413i
\(516\) −3.57171 + 6.73695i −0.157236 + 0.296578i
\(517\) −20.9252 24.6350i −0.920288 1.08345i
\(518\) −8.54133 + 8.09078i −0.375285 + 0.355489i
\(519\) −12.4797 + 1.35725i −0.547797 + 0.0595765i
\(520\) −3.79207 5.59288i −0.166293 0.245264i
\(521\) 17.6662 + 13.4295i 0.773969 + 0.588356i 0.915846 0.401529i \(-0.131521\pi\)
−0.141878 + 0.989884i \(0.545314\pi\)
\(522\) 4.90004 + 4.64156i 0.214469 + 0.203156i
\(523\) 0.244822 4.51547i 0.0107053 0.197448i −0.988288 0.152598i \(-0.951236\pi\)
0.998994 0.0448503i \(-0.0142811\pi\)
\(524\) 5.22306 + 1.75985i 0.228171 + 0.0768796i
\(525\) −7.45366 + 5.66612i −0.325304 + 0.247290i
\(526\) −2.70488 0.294174i −0.117938 0.0128266i
\(527\) −1.90021 3.58417i −0.0827743 0.156129i
\(528\) −1.44444 + 3.62528i −0.0628613 + 0.157770i
\(529\) 19.2348 + 11.5732i 0.836294 + 0.503181i
\(530\) 4.67845 0.203219
\(531\) 4.22858 + 6.41242i 0.183505 + 0.278275i
\(532\) 9.40991 0.407971
\(533\) −19.6562 11.8268i −0.851406 0.512274i
\(534\) −0.169554 + 0.425548i −0.00733731 + 0.0184152i
\(535\) 12.3980 + 23.3850i 0.536011 + 1.01102i
\(536\) 4.15263 + 0.451626i 0.179366 + 0.0195073i
\(537\) −0.934503 + 0.710391i −0.0403268 + 0.0306556i
\(538\) 10.2498 + 3.45357i 0.441901 + 0.148894i
\(539\) −0.610650 + 11.2628i −0.0263026 + 0.485122i
\(540\) 1.03256 + 0.978095i 0.0444344 + 0.0420905i
\(541\) 19.2326 + 14.6202i 0.826873 + 0.628573i 0.930602 0.366033i \(-0.119284\pi\)
−0.103729 + 0.994606i \(0.533077\pi\)
\(542\) −14.0052 20.6562i −0.601576 0.887258i
\(543\) 25.0548 2.72487i 1.07520 0.116935i
\(544\) −0.883926 + 0.837300i −0.0378980 + 0.0358989i
\(545\) 1.07525 + 1.26588i 0.0460587 + 0.0542245i
\(546\) 6.99869 13.2009i 0.299516 0.564947i
\(547\) 21.5513 31.7857i 0.921466 1.35906i −0.0118218 0.999930i \(-0.503763\pi\)
0.933288 0.359130i \(-0.116927\pi\)
\(548\) 5.08566 1.71356i 0.217248 0.0731995i
\(549\) −1.09969 3.96072i −0.0469336 0.169040i
\(550\) 1.87961 11.4651i 0.0801466 0.488873i
\(551\) 7.47497 + 18.7608i 0.318445 + 0.799235i
\(552\) −0.480975 + 0.566248i −0.0204717 + 0.0241011i
\(553\) −2.42135 44.6592i −0.102966 1.89910i
\(554\) −5.20306 + 18.7397i −0.221057 + 0.796174i
\(555\) −4.82894 2.23410i −0.204977 0.0948324i
\(556\) −17.4513 3.84132i −0.740099 0.162908i
\(557\) 0.971323 0.213804i 0.0411563 0.00905918i −0.194345 0.980933i \(-0.562258\pi\)
0.235501 + 0.971874i \(0.424327\pi\)
\(558\) −3.02396 + 1.39903i −0.128015 + 0.0592258i
\(559\) 5.86095 + 35.7502i 0.247892 + 1.51207i
\(560\) 3.83262 2.30601i 0.161958 0.0974468i
\(561\) 4.07124 2.44958i 0.171888 0.103422i
\(562\) −3.93855 24.0241i −0.166138 1.01339i
\(563\) 18.5756 8.59397i 0.782866 0.362192i 0.0126046 0.999921i \(-0.495988\pi\)
0.770262 + 0.637728i \(0.220126\pi\)
\(564\) −8.08901 + 1.78053i −0.340609 + 0.0749737i
\(565\) −5.16230 1.13631i −0.217180 0.0478049i
\(566\) −5.67996 2.62783i −0.238747 0.110456i
\(567\) −0.841347 + 3.03026i −0.0353332 + 0.127259i
\(568\) 0.736545 + 13.5848i 0.0309048 + 0.570005i
\(569\) 21.5514 25.3722i 0.903480 1.06366i −0.0941983 0.995553i \(-0.530029\pi\)
0.997678 0.0681053i \(-0.0216954\pi\)
\(570\) 1.57517 + 3.95337i 0.0659764 + 0.165588i
\(571\) −2.41320 + 14.7199i −0.100989 + 0.616007i 0.887034 + 0.461703i \(0.152762\pi\)
−0.988024 + 0.154303i \(0.950687\pi\)
\(572\) 4.96012 + 17.8648i 0.207393 + 0.746963i
\(573\) 17.3797 5.85591i 0.726048 0.244634i
\(574\) 8.52155 12.5683i 0.355682 0.524592i
\(575\) 1.03606 1.95421i 0.0432066 0.0814963i
\(576\) 0.647386 + 0.762162i 0.0269744 + 0.0317568i
\(577\) −8.22920 + 7.79511i −0.342586 + 0.324515i −0.839577 0.543241i \(-0.817197\pi\)
0.496991 + 0.867756i \(0.334438\pi\)
\(578\) −15.4266 + 1.67775i −0.641664 + 0.0697851i
\(579\) 12.7878 + 18.8606i 0.531444 + 0.783822i
\(580\) 7.64208 + 5.80936i 0.317320 + 0.241221i
\(581\) 7.72397 + 7.31653i 0.320444 + 0.303541i
\(582\) −0.354334 + 6.53531i −0.0146876 + 0.270897i
\(583\) −12.1648 4.09880i −0.503815 0.169755i
\(584\) −4.75011 + 3.61094i −0.196561 + 0.149422i
\(585\) 6.71762 + 0.730585i 0.277739 + 0.0302060i
\(586\) 1.88635 + 3.55803i 0.0779242 + 0.146981i
\(587\) 3.12025 7.83125i 0.128787 0.323230i −0.850417 0.526109i \(-0.823650\pi\)
0.979204 + 0.202879i \(0.0650297\pi\)
\(588\) 2.47660 + 1.49012i 0.102133 + 0.0614514i
\(589\) −9.96951 −0.410786
\(590\) 6.96500 + 8.41648i 0.286745 + 0.346501i
\(591\) 15.7555 0.648094
\(592\) −3.20549 1.92868i −0.131745 0.0792683i
\(593\) 0.630763 1.58310i 0.0259023 0.0650099i −0.915457 0.402416i \(-0.868170\pi\)
0.941359 + 0.337407i \(0.109550\pi\)
\(594\) −1.82794 3.44785i −0.0750011 0.141467i
\(595\) −5.41398 0.588805i −0.221951 0.0241387i
\(596\) 0.781291 0.593922i 0.0320029 0.0243280i
\(597\) 26.2168 + 8.83346i 1.07298 + 0.361529i
\(598\) −0.191098 + 3.52459i −0.00781456 + 0.144131i
\(599\) −23.5168 22.2763i −0.960871 0.910186i 0.0351426 0.999382i \(-0.488811\pi\)
−0.996014 + 0.0891965i \(0.971570\pi\)
\(600\) −2.37009 1.80169i −0.0967583 0.0735538i
\(601\) 19.6970 + 29.0509i 0.803456 + 1.18501i 0.979662 + 0.200656i \(0.0643074\pi\)
−0.176205 + 0.984353i \(0.556382\pi\)
\(602\) −23.8398 + 2.59274i −0.971638 + 0.105672i
\(603\) −3.03257 + 2.87260i −0.123496 + 0.116981i
\(604\) 11.9709 + 14.0933i 0.487090 + 0.573447i
\(605\) 2.81740 5.31418i 0.114544 0.216052i
\(606\) −10.3543 + 15.2715i −0.420617 + 0.620363i
\(607\) 36.3756 12.2564i 1.47644 0.497470i 0.538009 0.842939i \(-0.319177\pi\)
0.938430 + 0.345469i \(0.112280\pi\)
\(608\) 0.800479 + 2.88306i 0.0324637 + 0.116924i
\(609\) −3.43401 + 20.9465i −0.139153 + 0.848795i
\(610\) −2.16395 5.43109i −0.0876156 0.219899i
\(611\) −25.4753 + 29.9919i −1.03062 + 1.21334i
\(612\) −0.0659161 1.21575i −0.00266450 0.0491438i
\(613\) 0.992808 3.57577i 0.0400991 0.144424i −0.940791 0.338988i \(-0.889915\pi\)
0.980890 + 0.194564i \(0.0623292\pi\)
\(614\) −21.7901 10.0812i −0.879378 0.406844i
\(615\) 6.70677 + 1.47627i 0.270443 + 0.0595290i
\(616\) −11.9858 + 2.63828i −0.482922 + 0.106299i
\(617\) −38.8104 + 17.9556i −1.56245 + 0.722866i −0.994937 0.100499i \(-0.967956\pi\)
−0.567512 + 0.823365i \(0.692094\pi\)
\(618\) −2.99220 18.2516i −0.120364 0.734187i
\(619\) 9.26389 5.57390i 0.372347 0.224034i −0.317064 0.948404i \(-0.602697\pi\)
0.689411 + 0.724370i \(0.257869\pi\)
\(620\) −4.06054 + 2.44315i −0.163075 + 0.0981192i
\(621\) −0.120196 0.733162i −0.00482329 0.0294208i
\(622\) 9.29044 4.29821i 0.372513 0.172343i
\(623\) −1.40694 + 0.309690i −0.0563677 + 0.0124075i
\(624\) 4.63994 + 1.02133i 0.185746 + 0.0408858i
\(625\) −1.13526 0.525225i −0.0454102 0.0210090i
\(626\) 5.80116 20.8939i 0.231861 0.835088i
\(627\) −0.632158 11.6595i −0.0252460 0.465635i
\(628\) −2.89054 + 3.40300i −0.115345 + 0.135795i
\(629\) 1.68590 + 4.23130i 0.0672214 + 0.168713i
\(630\) −0.723632 + 4.41396i −0.0288302 + 0.175856i
\(631\) 5.06414 + 18.2394i 0.201600 + 0.726098i 0.993338 + 0.115237i \(0.0367628\pi\)
−0.791738 + 0.610861i \(0.790823\pi\)
\(632\) 13.4770 4.54092i 0.536085 0.180628i
\(633\) −9.16942 + 13.5239i −0.364452 + 0.537526i
\(634\) 11.4841 21.6613i 0.456091 0.860279i
\(635\) −4.93104 5.80527i −0.195682 0.230375i
\(636\) −2.38811 + 2.26213i −0.0946945 + 0.0896994i
\(637\) 13.6515 1.48469i 0.540891 0.0588255i
\(638\) −14.7812 21.8006i −0.585193 0.863095i
\(639\) −10.8306 8.23323i −0.428453 0.325702i
\(640\) 1.03256 + 0.978095i 0.0408156 + 0.0386626i
\(641\) −1.00400 + 18.5176i −0.0396555 + 0.731402i 0.909329 + 0.416079i \(0.136596\pi\)
−0.948984 + 0.315324i \(0.897887\pi\)
\(642\) −17.6357 5.94216i −0.696026 0.234518i
\(643\) −9.95271 + 7.56586i −0.392497 + 0.298368i −0.782746 0.622341i \(-0.786182\pi\)
0.390250 + 0.920709i \(0.372389\pi\)
\(644\) −2.32280 0.252619i −0.0915310 0.00995460i
\(645\) −5.07993 9.58177i −0.200022 0.377282i
\(646\) 1.34842 3.38429i 0.0530530 0.133153i
\(647\) 29.1966 + 17.5670i 1.14784 + 0.690631i 0.956741 0.290940i \(-0.0939681\pi\)
0.191096 + 0.981571i \(0.438796\pi\)
\(648\) −1.00000 −0.0392837
\(649\) −10.7366 27.9864i −0.421447 1.09856i
\(650\) −14.1445 −0.554792
\(651\) −8.97857 5.40223i −0.351898 0.211730i
\(652\) 2.97159 7.45812i 0.116376 0.292082i
\(653\) 12.4819 + 23.5434i 0.488455 + 0.921323i 0.998140 + 0.0609622i \(0.0194169\pi\)
−0.509686 + 0.860361i \(0.670238\pi\)
\(654\) −1.16094 0.126260i −0.0453965 0.00493716i
\(655\) −6.24053 + 4.74393i −0.243838 + 0.185361i
\(656\) 4.57567 + 1.54172i 0.178650 + 0.0601942i
\(657\) 0.323035 5.95803i 0.0126028 0.232445i
\(658\) −18.9107 17.9132i −0.737218 0.698330i
\(659\) 27.2631 + 20.7248i 1.06202 + 0.807325i 0.981889 0.189459i \(-0.0606735\pi\)
0.0801295 + 0.996784i \(0.474467\pi\)
\(660\) −3.11477 4.59394i −0.121242 0.178819i
\(661\) −11.9799 + 1.30289i −0.465964 + 0.0506767i −0.338090 0.941114i \(-0.609781\pi\)
−0.127874 + 0.991790i \(0.540815\pi\)
\(662\) −7.66381 + 7.25955i −0.297862 + 0.282150i
\(663\) −3.74483 4.40876i −0.145437 0.171222i
\(664\) −1.58462 + 2.98892i −0.0614953 + 0.115992i
\(665\) −7.51061 + 11.0773i −0.291249 + 0.429560i
\(666\) 3.54516 1.19450i 0.137372 0.0462861i
\(667\) −1.34151 4.83169i −0.0519436 0.187084i
\(668\) −2.28426 + 13.9334i −0.0883806 + 0.539098i
\(669\) −3.40034 8.53421i −0.131465 0.329952i
\(670\) −3.84611 + 4.52800i −0.148588 + 0.174932i
\(671\) 0.868452 + 16.0177i 0.0335262 + 0.618355i
\(672\) −0.841347 + 3.03026i −0.0324557 + 0.116895i
\(673\) −23.2307 10.7476i −0.895476 0.414291i −0.0825019 0.996591i \(-0.526291\pi\)
−0.812974 + 0.582300i \(0.802153\pi\)
\(674\) −18.1302 3.99076i −0.698349 0.153718i
\(675\) 2.90754 0.639998i 0.111911 0.0246336i
\(676\) 8.68745 4.01924i 0.334133 0.154586i
\(677\) −6.25246 38.1383i −0.240302 1.46577i −0.780986 0.624549i \(-0.785283\pi\)
0.540684 0.841226i \(-0.318165\pi\)
\(678\) 3.18452 1.91606i 0.122301 0.0735859i
\(679\) −17.6367 + 10.6117i −0.676834 + 0.407238i
\(680\) −0.280153 1.70886i −0.0107434 0.0655316i
\(681\) 0.140432 0.0649707i 0.00538136 0.00248968i
\(682\) 12.6986 2.79517i 0.486254 0.107033i
\(683\) 19.7002 + 4.33635i 0.753808 + 0.165926i 0.575221 0.817998i \(-0.304916\pi\)
0.178587 + 0.983924i \(0.442847\pi\)
\(684\) −2.71558 1.25636i −0.103833 0.0480382i
\(685\) −2.04197 + 7.35452i −0.0780197 + 0.281002i
\(686\) −0.699717 12.9055i −0.0267153 0.492735i
\(687\) 6.65929 7.83992i 0.254068 0.299112i
\(688\) −2.82238 7.08363i −0.107602 0.270061i
\(689\) −2.52834 + 15.4222i −0.0963222 + 0.587540i
\(690\) −0.282691 1.01816i −0.0107618 0.0387607i
\(691\) 11.1674 3.76273i 0.424827 0.143141i −0.0987633 0.995111i \(-0.531489\pi\)
0.523591 + 0.851970i \(0.324592\pi\)
\(692\) 7.04473 10.3902i 0.267800 0.394976i
\(693\) 5.74865 10.8431i 0.218373 0.411896i
\(694\) 7.13288 + 8.39747i 0.270760 + 0.318764i
\(695\) 18.4509 17.4776i 0.699883 0.662964i
\(696\) −6.70984 + 0.729739i −0.254336 + 0.0276607i
\(697\) −3.29910 4.86581i −0.124962 0.184306i
\(698\) 12.0771 + 9.18074i 0.457123 + 0.347496i
\(699\) 5.96494 + 5.65029i 0.225615 + 0.213714i
\(700\) 0.506891 9.34906i 0.0191587 0.353361i
\(701\) 6.37370 + 2.14755i 0.240732 + 0.0811119i 0.437081 0.899422i \(-0.356012\pi\)
−0.196350 + 0.980534i \(0.562909\pi\)
\(702\) −3.78225 + 2.87519i −0.142752 + 0.108517i
\(703\) 11.1279 + 1.21023i 0.419697 + 0.0456448i
\(704\) −1.82794 3.44785i −0.0688929 0.129946i
\(705\) 4.36029 10.9435i 0.164218 0.412156i
\(706\) −19.7034 11.8552i −0.741549 0.446175i
\(707\) −58.0257 −2.18228
\(708\) −7.62483 0.928443i −0.286559 0.0348930i
\(709\) −48.5805 −1.82448 −0.912239 0.409659i \(-0.865648\pi\)
−0.912239 + 0.409659i \(0.865648\pi\)
\(710\) −16.5799 9.97577i −0.622231 0.374384i
\(711\) −5.26389 + 13.2114i −0.197411 + 0.495465i
\(712\) −0.214570 0.404721i −0.00804133 0.0151676i
\(713\) 2.46093 + 0.267643i 0.0921626 + 0.0100233i
\(714\) 3.04826 2.31722i 0.114078 0.0867199i
\(715\) −24.9893 8.41988i −0.934547 0.314886i
\(716\) 0.0635516 1.17214i 0.00237503 0.0438049i
\(717\) −15.1363 14.3379i −0.565277 0.535459i
\(718\) 16.9852 + 12.9118i 0.633883 + 0.481865i
\(719\) −17.0122 25.0912i −0.634450 0.935744i −0.999988 0.00494707i \(-0.998425\pi\)
0.365538 0.930796i \(-0.380885\pi\)
\(720\) −1.41393 + 0.153774i −0.0526942 + 0.00573084i
\(721\) 42.2279 40.0004i 1.57265 1.48969i
\(722\) 6.50440 + 7.65757i 0.242069 + 0.284985i
\(723\) 11.2358 21.1929i 0.417862 0.788172i
\(724\) −14.1433 + 20.8599i −0.525633 + 0.775250i
\(725\) 19.0421 6.41604i 0.707206 0.238286i
\(726\) 1.13139 + 4.07489i 0.0419897 + 0.151233i
\(727\) −4.47260 + 27.2816i −0.165879 + 1.01182i 0.764339 + 0.644814i \(0.223065\pi\)
−0.930219 + 0.367005i \(0.880383\pi\)
\(728\) 5.53039 + 13.8802i 0.204970 + 0.514435i
\(729\) 0.647386 0.762162i 0.0239773 0.0282282i
\(730\) −0.459443 8.47392i −0.0170047 0.313634i
\(731\) −2.48372 + 8.94556i −0.0918638 + 0.330863i
\(732\) 3.73064 + 1.72598i 0.137888 + 0.0637939i
\(733\) 3.46003 + 0.761611i 0.127799 + 0.0281307i 0.278409 0.960462i \(-0.410193\pi\)
−0.150610 + 0.988593i \(0.548124\pi\)
\(734\) 29.6881 6.53484i 1.09581 0.241205i
\(735\) −3.73088 + 1.72609i −0.137616 + 0.0636678i
\(736\) −0.120196 0.733162i −0.00443048 0.0270247i
\(737\) 13.9676 8.40401i 0.514502 0.309566i
\(738\) −4.13727 + 2.48931i −0.152295 + 0.0916329i
\(739\) 7.88002 + 48.0660i 0.289871 + 1.76814i 0.583399 + 0.812185i \(0.301722\pi\)
−0.293528 + 0.955950i \(0.594830\pi\)
\(740\) 4.82894 2.23410i 0.177515 0.0821273i
\(741\) −13.8833 + 3.05594i −0.510015 + 0.112263i
\(742\) −10.1030 2.22384i −0.370893 0.0816397i
\(743\) −13.3059 6.15597i −0.488147 0.225841i 0.160347 0.987061i \(-0.448739\pi\)
−0.648494 + 0.761220i \(0.724601\pi\)
\(744\) 0.891381 3.21046i 0.0326796 0.117701i
\(745\) 0.0755685 + 1.39378i 0.00276862 + 0.0510641i
\(746\) −18.2747 + 21.5147i −0.669086 + 0.787709i
\(747\) −1.25218 3.14272i −0.0458147 0.114986i
\(748\) −0.768685 + 4.68877i −0.0281059 + 0.171439i
\(749\) −15.6574 56.3927i −0.572108 2.06055i
\(750\) 10.7518 3.62269i 0.392598 0.132282i
\(751\) −11.6475 + 17.1788i −0.425023 + 0.626862i −0.978560 0.205962i \(-0.933968\pi\)
0.553537 + 0.832825i \(0.313278\pi\)
\(752\) 3.87967 7.31782i 0.141477 0.266854i
\(753\) −8.73228 10.2804i −0.318222 0.374640i
\(754\) −23.2802 + 22.0521i −0.847814 + 0.803092i
\(755\) −26.1453 + 2.84347i −0.951524 + 0.103484i
\(756\) −1.76487 2.60299i −0.0641877 0.0946698i
\(757\) −24.6684 18.7524i −0.896589 0.681569i 0.0518074 0.998657i \(-0.483502\pi\)
−0.948396 + 0.317088i \(0.897295\pi\)
\(758\) −21.2734 20.1513i −0.772686 0.731927i
\(759\) −0.156966 + 2.89506i −0.00569750 + 0.105084i
\(760\)