Properties

Label 177.2.e.b.76.2
Level $177$
Weight $2$
Character 177.76
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 76.2
Character \(\chi\) \(=\) 177.76
Dual form 177.2.e.b.7.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.492250 + 0.726014i) q^{2} +(-0.0541389 - 0.998533i) q^{3} +(0.455490 + 1.14319i) q^{4} +(-3.82749 - 1.77078i) q^{5} +(0.751599 + 0.452222i) q^{6} +(-1.35341 - 4.87453i) q^{7} +(-2.76749 - 0.609171i) q^{8} +(-0.994138 + 0.108119i) q^{9} +O(q^{10})\) \(q+(-0.492250 + 0.726014i) q^{2} +(-0.0541389 - 0.998533i) q^{3} +(0.455490 + 1.14319i) q^{4} +(-3.82749 - 1.77078i) q^{5} +(0.751599 + 0.452222i) q^{6} +(-1.35341 - 4.87453i) q^{7} +(-2.76749 - 0.609171i) q^{8} +(-0.994138 + 0.108119i) q^{9} +(3.16970 - 1.90714i) q^{10} +(1.54377 + 1.46233i) q^{11} +(1.11686 - 0.516713i) q^{12} +(1.12276 + 0.122107i) q^{13} +(4.20519 + 1.41689i) q^{14} +(-1.56097 + 3.91774i) q^{15} +(0.0177533 - 0.0168169i) q^{16} +(0.0667612 - 0.240452i) q^{17} +(0.410868 - 0.774980i) q^{18} +(-2.30089 - 1.74909i) q^{19} +(0.280967 - 5.18213i) q^{20} +(-4.79411 + 1.61532i) q^{21} +(-1.82159 + 0.400963i) q^{22} +(-2.78087 - 5.24528i) q^{23} +(-0.458448 + 2.79641i) q^{24} +(8.27706 + 9.74451i) q^{25} +(-0.641330 + 0.755032i) q^{26} +(0.161782 + 0.986827i) q^{27} +(4.95606 - 3.76750i) q^{28} +(1.49567 + 2.20594i) q^{29} +(-2.07595 - 3.06180i) q^{30} +(1.38038 - 1.04934i) q^{31} +(-0.913427 - 5.57166i) q^{32} +(1.37661 - 1.62067i) q^{33} +(0.141708 + 0.166832i) q^{34} +(-3.45159 + 21.0538i) q^{35} +(-0.576420 - 1.08724i) q^{36} +(-7.66527 + 1.68725i) q^{37} +(2.40248 - 0.809488i) q^{38} +(0.0611434 - 1.12772i) q^{39} +(9.51383 + 7.23222i) q^{40} +(2.32120 - 4.37824i) q^{41} +(1.18715 - 4.27573i) q^{42} +(1.98662 - 1.88183i) q^{43} +(-0.968559 + 2.43090i) q^{44} +(3.99651 + 1.34658i) q^{45} +(5.17703 + 0.563036i) q^{46} +(5.44805 - 2.52054i) q^{47} +(-0.0177533 - 0.0168169i) q^{48} +(-15.9313 + 9.58556i) q^{49} +(-11.1490 + 1.21253i) q^{50} +(-0.243714 - 0.0536454i) q^{51} +(0.371813 + 1.33915i) q^{52} +(-0.00505911 - 0.00304396i) q^{53} +(-0.796087 - 0.368309i) q^{54} +(-3.31927 - 8.33074i) q^{55} +(0.776119 + 14.3147i) q^{56} +(-1.62196 + 2.39221i) q^{57} -2.33779 q^{58} +(5.68206 + 5.16857i) q^{59} -5.18974 q^{60} +(7.77640 - 11.4693i) q^{61} +(0.0823420 + 1.51871i) q^{62} +(1.87250 + 4.69963i) q^{63} +(4.53912 + 2.10002i) q^{64} +(-4.08112 - 2.45553i) q^{65} +(0.498994 + 1.79721i) q^{66} +(3.91632 + 0.862047i) q^{67} +(0.305292 - 0.0332025i) q^{68} +(-5.08704 + 3.06077i) q^{69} +(-13.5863 - 12.8696i) q^{70} +(2.75781 - 1.27590i) q^{71} +(2.81713 + 0.306381i) q^{72} +(-8.11316 - 2.73364i) q^{73} +(2.54826 - 6.39565i) q^{74} +(9.28210 - 8.79248i) q^{75} +(0.951516 - 3.42705i) q^{76} +(5.03884 - 9.50427i) q^{77} +(0.788646 + 0.599513i) q^{78} +(0.206018 - 3.79978i) q^{79} +(-0.0977298 + 0.0329290i) q^{80} +(0.976621 - 0.214970i) q^{81} +(2.03606 + 3.84041i) q^{82} +(0.687551 - 4.19387i) q^{83} +(-4.03029 - 4.74483i) q^{84} +(-0.681316 + 0.802107i) q^{85} +(0.388320 + 2.36865i) q^{86} +(2.12173 - 1.61290i) q^{87} +(-3.38155 - 4.98741i) q^{88} +(-7.18880 - 10.6027i) q^{89} +(-2.94492 + 2.23867i) q^{90} +(-0.924334 - 5.63819i) q^{91} +(4.72971 - 5.56824i) q^{92} +(-1.12253 - 1.32154i) q^{93} +(-0.851857 + 5.19610i) q^{94} +(5.70936 + 10.7690i) q^{95} +(-5.51403 + 1.21373i) q^{96} +(8.80022 - 2.96514i) q^{97} +(0.882940 - 16.2849i) q^{98} +(-1.69282 - 1.28685i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} + O(q^{10}) \) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} - 116q^{10} + 2q^{11} + q^{12} + 4q^{13} - 43q^{14} - 2q^{15} + 7q^{16} + q^{18} - 2q^{19} + 4q^{20} - 27q^{21} + 6q^{22} + 6q^{23} + 3q^{24} - 57q^{25} + 12q^{26} + 5q^{27} - 10q^{28} - 4q^{29} - 12q^{31} - 150q^{32} - 2q^{33} - 2q^{34} + 6q^{35} - q^{36} + 12q^{37} - 12q^{38} - 4q^{39} - 66q^{40} - 4q^{41} + 14q^{42} - 60q^{43} + 20q^{44} + 2q^{45} + 76q^{46} - 25q^{47} - 7q^{48} + 31q^{49} + 137q^{50} + 118q^{52} + 48q^{53} - q^{54} + 93q^{55} + 228q^{56} + 2q^{57} - 120q^{58} + 57q^{59} - 4q^{60} + 72q^{61} - 179q^{62} - 2q^{63} + 249q^{64} - 39q^{65} - 6q^{66} + 40q^{67} + 94q^{68} - 64q^{69} + 94q^{70} + 30q^{71} - 3q^{72} - 205q^{73} + 66q^{74} - q^{75} - 216q^{76} - 46q^{77} - 12q^{78} + 4q^{79} - 356q^{80} - 5q^{81} - 28q^{82} + 4q^{83} - 135q^{84} + 50q^{85} - 18q^{86} - 54q^{87} - 162q^{88} + 26q^{89} - 198q^{91} + 10q^{92} + 12q^{93} - 4q^{94} - 326q^{95} + 5q^{96} - 20q^{97} - 143q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{20}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.492250 + 0.726014i −0.348073 + 0.513370i −0.960918 0.276834i \(-0.910715\pi\)
0.612845 + 0.790203i \(0.290025\pi\)
\(3\) −0.0541389 0.998533i −0.0312571 0.576504i
\(4\) 0.455490 + 1.14319i 0.227745 + 0.571596i
\(5\) −3.82749 1.77078i −1.71170 0.791919i −0.995577 0.0939499i \(-0.970051\pi\)
−0.716128 0.697969i \(-0.754087\pi\)
\(6\) 0.751599 + 0.452222i 0.306839 + 0.184619i
\(7\) −1.35341 4.87453i −0.511540 1.84240i −0.538294 0.842757i \(-0.680931\pi\)
0.0267548 0.999642i \(-0.491483\pi\)
\(8\) −2.76749 0.609171i −0.978456 0.215374i
\(9\) −0.994138 + 0.108119i −0.331379 + 0.0360397i
\(10\) 3.16970 1.90714i 1.00235 0.603091i
\(11\) 1.54377 + 1.46233i 0.465463 + 0.440910i 0.884138 0.467226i \(-0.154747\pi\)
−0.418675 + 0.908136i \(0.637505\pi\)
\(12\) 1.11686 0.516713i 0.322409 0.149162i
\(13\) 1.12276 + 0.122107i 0.311398 + 0.0338665i 0.262484 0.964936i \(-0.415458\pi\)
0.0489140 + 0.998803i \(0.484424\pi\)
\(14\) 4.20519 + 1.41689i 1.12388 + 0.378681i
\(15\) −1.56097 + 3.91774i −0.403041 + 1.01156i
\(16\) 0.0177533 0.0168169i 0.00443834 0.00420422i
\(17\) 0.0667612 0.240452i 0.0161920 0.0583182i −0.955013 0.296565i \(-0.904159\pi\)
0.971205 + 0.238247i \(0.0765727\pi\)
\(18\) 0.410868 0.774980i 0.0968426 0.182665i
\(19\) −2.30089 1.74909i −0.527860 0.401269i 0.307018 0.951704i \(-0.400669\pi\)
−0.834878 + 0.550435i \(0.814462\pi\)
\(20\) 0.280967 5.18213i 0.0628261 1.15876i
\(21\) −4.79411 + 1.61532i −1.04616 + 0.352492i
\(22\) −1.82159 + 0.400963i −0.388365 + 0.0854856i
\(23\) −2.78087 5.24528i −0.579852 1.09372i −0.983856 0.178960i \(-0.942727\pi\)
0.404004 0.914757i \(-0.367618\pi\)
\(24\) −0.458448 + 2.79641i −0.0935804 + 0.570815i
\(25\) 8.27706 + 9.74451i 1.65541 + 1.94890i
\(26\) −0.641330 + 0.755032i −0.125775 + 0.148074i
\(27\) 0.161782 + 0.986827i 0.0311350 + 0.189915i
\(28\) 4.95606 3.76750i 0.936608 0.711991i
\(29\) 1.49567 + 2.20594i 0.277738 + 0.409633i 0.940816 0.338917i \(-0.110061\pi\)
−0.663078 + 0.748550i \(0.730750\pi\)
\(30\) −2.07595 3.06180i −0.379015 0.559005i
\(31\) 1.38038 1.04934i 0.247923 0.188466i −0.473831 0.880616i \(-0.657129\pi\)
0.721754 + 0.692150i \(0.243336\pi\)
\(32\) −0.913427 5.57166i −0.161473 0.984939i
\(33\) 1.37661 1.62067i 0.239637 0.282123i
\(34\) 0.141708 + 0.166832i 0.0243028 + 0.0286115i
\(35\) −3.45159 + 21.0538i −0.583426 + 3.55874i
\(36\) −0.576420 1.08724i −0.0960700 0.181207i
\(37\) −7.66527 + 1.68725i −1.26016 + 0.277383i −0.794328 0.607489i \(-0.792177\pi\)
−0.465835 + 0.884872i \(0.654246\pi\)
\(38\) 2.40248 0.809488i 0.389733 0.131316i
\(39\) 0.0611434 1.12772i 0.00979078 0.180580i
\(40\) 9.51383 + 7.23222i 1.50427 + 1.14351i
\(41\) 2.32120 4.37824i 0.362510 0.683767i −0.633429 0.773801i \(-0.718353\pi\)
0.995939 + 0.0900346i \(0.0286978\pi\)
\(42\) 1.18715 4.27573i 0.183181 0.659760i
\(43\) 1.98662 1.88183i 0.302957 0.286976i −0.521085 0.853505i \(-0.674473\pi\)
0.824042 + 0.566529i \(0.191714\pi\)
\(44\) −0.968559 + 2.43090i −0.146016 + 0.366472i
\(45\) 3.99651 + 1.34658i 0.595764 + 0.200736i
\(46\) 5.17703 + 0.563036i 0.763312 + 0.0830152i
\(47\) 5.44805 2.52054i 0.794680 0.367658i 0.0198301 0.999803i \(-0.493687\pi\)
0.774850 + 0.632145i \(0.217825\pi\)
\(48\) −0.0177533 0.0168169i −0.00256247 0.00242731i
\(49\) −15.9313 + 9.58556i −2.27590 + 1.36937i
\(50\) −11.1490 + 1.21253i −1.57671 + 0.171478i
\(51\) −0.243714 0.0536454i −0.0341267 0.00751186i
\(52\) 0.371813 + 1.33915i 0.0515612 + 0.185707i
\(53\) −0.00505911 0.00304396i −0.000694922 0.000418121i 0.515206 0.857066i \(-0.327715\pi\)
−0.515901 + 0.856648i \(0.672543\pi\)
\(54\) −0.796087 0.368309i −0.108334 0.0501205i
\(55\) −3.31927 8.33074i −0.447570 1.12332i
\(56\) 0.776119 + 14.3147i 0.103713 + 1.91288i
\(57\) −1.62196 + 2.39221i −0.214833 + 0.316856i
\(58\) −2.33779 −0.306966
\(59\) 5.68206 + 5.16857i 0.739742 + 0.672891i
\(60\) −5.18974 −0.669993
\(61\) 7.77640 11.4693i 0.995667 1.46850i 0.115803 0.993272i \(-0.463056\pi\)
0.879864 0.475226i \(-0.157634\pi\)
\(62\) 0.0823420 + 1.51871i 0.0104575 + 0.192876i
\(63\) 1.87250 + 4.69963i 0.235913 + 0.592097i
\(64\) 4.53912 + 2.10002i 0.567390 + 0.262503i
\(65\) −4.08112 2.45553i −0.506201 0.304571i
\(66\) 0.498994 + 1.79721i 0.0614219 + 0.221222i
\(67\) 3.91632 + 0.862047i 0.478455 + 0.105316i 0.447649 0.894210i \(-0.352262\pi\)
0.0308060 + 0.999525i \(0.490193\pi\)
\(68\) 0.305292 0.0332025i 0.0370221 0.00402639i
\(69\) −5.08704 + 3.06077i −0.612407 + 0.368473i
\(70\) −13.5863 12.8696i −1.62387 1.53822i
\(71\) 2.75781 1.27590i 0.327292 0.151421i −0.249361 0.968411i \(-0.580221\pi\)
0.576653 + 0.816989i \(0.304358\pi\)
\(72\) 2.81713 + 0.306381i 0.332002 + 0.0361074i
\(73\) −8.11316 2.73364i −0.949573 0.319948i −0.198450 0.980111i \(-0.563591\pi\)
−0.751123 + 0.660162i \(0.770487\pi\)
\(74\) 2.54826 6.39565i 0.296229 0.743479i
\(75\) 9.28210 8.79248i 1.07180 1.01527i
\(76\) 0.951516 3.42705i 0.109146 0.393110i
\(77\) 5.03884 9.50427i 0.574230 1.08311i
\(78\) 0.788646 + 0.599513i 0.0892966 + 0.0678815i
\(79\) 0.206018 3.79978i 0.0231789 0.427509i −0.963797 0.266638i \(-0.914087\pi\)
0.986975 0.160871i \(-0.0514302\pi\)
\(80\) −0.0977298 + 0.0329290i −0.0109265 + 0.00368157i
\(81\) 0.976621 0.214970i 0.108513 0.0238856i
\(82\) 2.03606 + 3.84041i 0.224845 + 0.424103i
\(83\) 0.687551 4.19387i 0.0754685 0.460337i −0.921875 0.387489i \(-0.873343\pi\)
0.997343 0.0728488i \(-0.0232091\pi\)
\(84\) −4.03029 4.74483i −0.439741 0.517703i
\(85\) −0.681316 + 0.802107i −0.0738991 + 0.0870008i
\(86\) 0.388320 + 2.36865i 0.0418736 + 0.255418i
\(87\) 2.12173 1.61290i 0.227474 0.172921i
\(88\) −3.38155 4.98741i −0.360474 0.531660i
\(89\) −7.18880 10.6027i −0.762011 1.12388i −0.988699 0.149915i \(-0.952100\pi\)
0.226688 0.973967i \(-0.427210\pi\)
\(90\) −2.94492 + 2.23867i −0.310421 + 0.235976i
\(91\) −0.924334 5.63819i −0.0968965 0.591042i
\(92\) 4.72971 5.56824i 0.493106 0.580530i
\(93\) −1.12253 1.32154i −0.116401 0.137038i
\(94\) −0.851857 + 5.19610i −0.0878623 + 0.535937i
\(95\) 5.70936 + 10.7690i 0.585768 + 1.10488i
\(96\) −5.51403 + 1.21373i −0.562774 + 0.123876i
\(97\) 8.80022 2.96514i 0.893527 0.301064i 0.165172 0.986265i \(-0.447182\pi\)
0.728354 + 0.685201i \(0.240285\pi\)
\(98\) 0.882940 16.2849i 0.0891904 1.64502i
\(99\) −1.69282 1.28685i −0.170135 0.129333i
\(100\) −7.36973 + 13.9008i −0.736973 + 1.39008i
\(101\) 1.33986 4.82573i 0.133321 0.480178i −0.866499 0.499179i \(-0.833635\pi\)
0.999819 + 0.0190013i \(0.00604866\pi\)
\(102\) 0.158915 0.150533i 0.0157350 0.0149050i
\(103\) −2.51375 + 6.30904i −0.247687 + 0.621648i −0.999278 0.0379810i \(-0.987907\pi\)
0.751591 + 0.659629i \(0.229287\pi\)
\(104\) −3.03284 1.02188i −0.297395 0.100204i
\(105\) 21.2098 + 2.30670i 2.06986 + 0.225111i
\(106\) 0.00470031 0.00217459i 0.000456534 0.000211215i
\(107\) 7.05631 + 6.68409i 0.682159 + 0.646175i 0.948158 0.317798i \(-0.102943\pi\)
−0.266000 + 0.963973i \(0.585702\pi\)
\(108\) −1.05444 + 0.634437i −0.101464 + 0.0610487i
\(109\) −10.5070 + 1.14271i −1.00639 + 0.109452i −0.596442 0.802656i \(-0.703419\pi\)
−0.409950 + 0.912108i \(0.634454\pi\)
\(110\) 7.68215 + 1.69097i 0.732464 + 0.161228i
\(111\) 2.09977 + 7.56269i 0.199301 + 0.717818i
\(112\) −0.106002 0.0637792i −0.0100162 0.00602656i
\(113\) −3.09105 1.43007i −0.290781 0.134530i 0.269076 0.963119i \(-0.413282\pi\)
−0.559857 + 0.828589i \(0.689144\pi\)
\(114\) −0.938369 2.35513i −0.0878863 0.220578i
\(115\) 1.35549 + 25.0006i 0.126400 + 2.33132i
\(116\) −1.84056 + 2.71462i −0.170891 + 0.252046i
\(117\) −1.12938 −0.104411
\(118\) −6.54945 + 1.58103i −0.602926 + 0.145545i
\(119\) −1.26245 −0.115728
\(120\) 6.70655 9.89142i 0.612221 0.902959i
\(121\) −0.350732 6.46886i −0.0318847 0.588079i
\(122\) 4.49897 + 11.2916i 0.407318 + 1.02229i
\(123\) −4.49749 2.08076i −0.405525 0.187616i
\(124\) 1.82834 + 1.10008i 0.164190 + 0.0987898i
\(125\) −8.78373 31.6361i −0.785640 2.82962i
\(126\) −4.33373 0.953927i −0.386080 0.0849826i
\(127\) −16.8020 + 1.82733i −1.49093 + 0.162149i −0.816998 0.576641i \(-0.804363\pi\)
−0.673936 + 0.738789i \(0.735398\pi\)
\(128\) 5.91666 3.55994i 0.522964 0.314657i
\(129\) −1.98662 1.88183i −0.174912 0.165686i
\(130\) 3.79168 1.75422i 0.332553 0.153855i
\(131\) 3.92469 + 0.426836i 0.342902 + 0.0372928i 0.277950 0.960596i \(-0.410345\pi\)
0.0649519 + 0.997888i \(0.479311\pi\)
\(132\) 2.47977 + 0.835532i 0.215836 + 0.0727238i
\(133\) −5.41195 + 13.5830i −0.469276 + 1.17779i
\(134\) −2.55367 + 2.41896i −0.220603 + 0.208966i
\(135\) 1.12824 4.06355i 0.0971033 0.349735i
\(136\) −0.331237 + 0.624780i −0.0284034 + 0.0535744i
\(137\) 1.48201 + 1.12659i 0.126616 + 0.0962512i 0.666566 0.745446i \(-0.267764\pi\)
−0.539949 + 0.841697i \(0.681557\pi\)
\(138\) 0.281932 5.19992i 0.0239996 0.442647i
\(139\) −2.12629 + 0.716430i −0.180349 + 0.0607668i −0.408027 0.912970i \(-0.633783\pi\)
0.227678 + 0.973736i \(0.426887\pi\)
\(140\) −25.6407 + 5.64395i −2.16704 + 0.477001i
\(141\) −2.81179 5.30360i −0.236796 0.446644i
\(142\) −0.431211 + 2.63027i −0.0361865 + 0.220728i
\(143\) 1.55472 + 1.83035i 0.130012 + 0.153062i
\(144\) −0.0158311 + 0.0186378i −0.00131925 + 0.00155315i
\(145\) −1.81839 11.0917i −0.151009 0.921117i
\(146\) 5.97836 4.54463i 0.494773 0.376117i
\(147\) 10.4340 + 15.3890i 0.860582 + 1.26926i
\(148\) −5.42031 7.99436i −0.445547 0.657132i
\(149\) −12.1527 + 9.23826i −0.995590 + 0.756828i −0.970065 0.242846i \(-0.921919\pi\)
−0.0255255 + 0.999674i \(0.508126\pi\)
\(150\) 1.81435 + 11.0670i 0.148141 + 0.903620i
\(151\) 12.5467 14.7712i 1.02104 1.20206i 0.0418480 0.999124i \(-0.486675\pi\)
0.979192 0.202937i \(-0.0650487\pi\)
\(152\) 5.30219 + 6.24222i 0.430064 + 0.506311i
\(153\) −0.0403724 + 0.246261i −0.00326391 + 0.0199090i
\(154\) 4.41986 + 8.33675i 0.356163 + 0.671794i
\(155\) −7.14153 + 1.57197i −0.573621 + 0.126264i
\(156\) 1.31706 0.443768i 0.105449 0.0355298i
\(157\) −0.276219 + 5.09457i −0.0220447 + 0.406591i 0.966597 + 0.256300i \(0.0825036\pi\)
−0.988642 + 0.150290i \(0.951979\pi\)
\(158\) 2.65729 + 2.02002i 0.211402 + 0.160704i
\(159\) −0.00276561 + 0.00521649i −0.000219327 + 0.000413694i
\(160\) −6.37007 + 22.9429i −0.503598 + 1.81380i
\(161\) −21.8046 + 20.6544i −1.71845 + 1.62780i
\(162\) −0.324670 + 0.814860i −0.0255085 + 0.0640214i
\(163\) 13.5542 + 4.56695i 1.06165 + 0.357712i 0.795332 0.606174i \(-0.207296\pi\)
0.266318 + 0.963885i \(0.414193\pi\)
\(164\) 6.06245 + 0.659332i 0.473398 + 0.0514852i
\(165\) −8.13882 + 3.76542i −0.633607 + 0.293138i
\(166\) 2.70637 + 2.56361i 0.210055 + 0.198974i
\(167\) 13.9397 8.38723i 1.07869 0.649024i 0.138733 0.990330i \(-0.455697\pi\)
0.939952 + 0.341306i \(0.110869\pi\)
\(168\) 14.2517 1.54996i 1.09954 0.119582i
\(169\) −11.4504 2.52042i −0.880799 0.193879i
\(170\) −0.246964 0.889483i −0.0189412 0.0682202i
\(171\) 2.47651 + 1.49007i 0.189383 + 0.113948i
\(172\) 3.05618 + 1.41394i 0.233031 + 0.107812i
\(173\) 8.99004 + 22.5633i 0.683500 + 1.71546i 0.698541 + 0.715570i \(0.253833\pi\)
−0.0150409 + 0.999887i \(0.504788\pi\)
\(174\) 0.126565 + 2.33436i 0.00959488 + 0.176967i
\(175\) 36.2977 53.5350i 2.74384 4.04687i
\(176\) 0.0519989 0.00391956
\(177\) 4.85337 5.95355i 0.364802 0.447496i
\(178\) 11.2364 0.842202
\(179\) −6.10122 + 8.99862i −0.456026 + 0.672589i −0.984304 0.176483i \(-0.943528\pi\)
0.528277 + 0.849072i \(0.322838\pi\)
\(180\) 0.280967 + 5.18213i 0.0209420 + 0.386253i
\(181\) 2.63938 + 6.62434i 0.196183 + 0.492383i 0.993853 0.110712i \(-0.0353132\pi\)
−0.797669 + 0.603095i \(0.793934\pi\)
\(182\) 4.54841 + 2.10432i 0.337150 + 0.155982i
\(183\) −11.8735 7.14406i −0.877716 0.528104i
\(184\) 4.50077 + 16.2103i 0.331801 + 1.19504i
\(185\) 32.3265 + 7.11560i 2.37669 + 0.523150i
\(186\) 1.51202 0.164443i 0.110867 0.0120575i
\(187\) 0.454685 0.273575i 0.0332498 0.0200058i
\(188\) 5.36299 + 5.08009i 0.391136 + 0.370504i
\(189\) 4.59136 2.12419i 0.333972 0.154512i
\(190\) −10.6289 1.15596i −0.771100 0.0838622i
\(191\) −0.0212371 0.00715562i −0.00153666 0.000517762i 0.318533 0.947912i \(-0.396810\pi\)
−0.320070 + 0.947394i \(0.603706\pi\)
\(192\) 1.85120 4.64616i 0.133599 0.335308i
\(193\) −0.0463700 + 0.0439240i −0.00333779 + 0.00316172i −0.689367 0.724413i \(-0.742111\pi\)
0.686029 + 0.727574i \(0.259352\pi\)
\(194\) −2.17917 + 7.84867i −0.156456 + 0.563502i
\(195\) −2.23098 + 4.20808i −0.159764 + 0.301347i
\(196\) −18.2147 13.8465i −1.30105 0.989032i
\(197\) 0.320478 5.91087i 0.0228331 0.421132i −0.964663 0.263487i \(-0.915127\pi\)
0.987496 0.157645i \(-0.0503900\pi\)
\(198\) 1.76756 0.595562i 0.125615 0.0423247i
\(199\) 9.18488 2.02174i 0.651099 0.143318i 0.122874 0.992422i \(-0.460789\pi\)
0.528225 + 0.849105i \(0.322858\pi\)
\(200\) −16.9706 32.0100i −1.20000 2.26345i
\(201\) 0.648758 3.95725i 0.0457598 0.279123i
\(202\) 2.84400 + 3.34822i 0.200103 + 0.235580i
\(203\) 8.72868 10.2762i 0.612634 0.721248i
\(204\) −0.0496820 0.303047i −0.00347843 0.0212175i
\(205\) −16.6373 + 12.6473i −1.16200 + 0.883328i
\(206\) −3.34306 4.93064i −0.232922 0.343534i
\(207\) 3.33169 + 4.91387i 0.231568 + 0.341538i
\(208\) 0.0219862 0.0167135i 0.00152447 0.00115887i
\(209\) −0.994282 6.06485i −0.0687759 0.419515i
\(210\) −12.1152 + 14.2631i −0.836029 + 0.984250i
\(211\) 13.0867 + 15.4068i 0.900924 + 1.06065i 0.997862 + 0.0653588i \(0.0208192\pi\)
−0.0969383 + 0.995290i \(0.530905\pi\)
\(212\) 0.00117547 0.00717003i 8.07314e−5 0.000492440i
\(213\) −1.42333 2.68469i −0.0975252 0.183952i
\(214\) −8.32621 + 1.83274i −0.569168 + 0.125283i
\(215\) −10.9361 + 3.68480i −0.745835 + 0.251301i
\(216\) 0.153416 2.82959i 0.0104386 0.192529i
\(217\) −6.98323 5.30851i −0.474053 0.360365i
\(218\) 4.34247 8.19076i 0.294109 0.554749i
\(219\) −2.29039 + 8.24926i −0.154771 + 0.557433i
\(220\) 8.01175 7.58913i 0.540152 0.511659i
\(221\) 0.104318 0.261818i 0.00701717 0.0176118i
\(222\) −6.52423 2.19827i −0.437878 0.147538i
\(223\) −12.3985 1.34841i −0.830262 0.0902964i −0.316890 0.948462i \(-0.602638\pi\)
−0.513372 + 0.858166i \(0.671604\pi\)
\(224\) −25.9230 + 11.9932i −1.73205 + 0.801332i
\(225\) −9.28210 8.79248i −0.618807 0.586165i
\(226\) 2.55982 1.54019i 0.170277 0.102452i
\(227\) −9.09839 + 0.989509i −0.603881 + 0.0656760i −0.404952 0.914338i \(-0.632712\pi\)
−0.198929 + 0.980014i \(0.563746\pi\)
\(228\) −3.47354 0.764583i −0.230041 0.0506358i
\(229\) −4.80591 17.3093i −0.317584 1.14383i −0.934253 0.356611i \(-0.883932\pi\)
0.616670 0.787222i \(-0.288481\pi\)
\(230\) −18.8180 11.3224i −1.24082 0.746579i
\(231\) −9.76313 4.51690i −0.642367 0.297190i
\(232\) −2.79545 7.01604i −0.183530 0.460626i
\(233\) −0.379788 7.00478i −0.0248808 0.458899i −0.984254 0.176759i \(-0.943439\pi\)
0.959373 0.282139i \(-0.0910441\pi\)
\(234\) 0.555937 0.819946i 0.0363428 0.0536016i
\(235\) −25.3157 −1.65141
\(236\) −3.32056 + 8.84992i −0.216150 + 0.576081i
\(237\) −3.80537 −0.247185
\(238\) 0.621439 0.916553i 0.0402819 0.0594113i
\(239\) 0.682049 + 12.5796i 0.0441181 + 0.813710i 0.933946 + 0.357414i \(0.116341\pi\)
−0.889828 + 0.456296i \(0.849176\pi\)
\(240\) 0.0381717 + 0.0958037i 0.00246397 + 0.00618410i
\(241\) −1.38545 0.640977i −0.0892446 0.0412889i 0.374759 0.927122i \(-0.377725\pi\)
−0.464004 + 0.885833i \(0.653588\pi\)
\(242\) 4.86914 + 2.92966i 0.313000 + 0.188326i
\(243\) −0.267528 0.963550i −0.0171620 0.0618118i
\(244\) 16.6537 + 3.66576i 1.06615 + 0.234676i
\(245\) 77.9509 8.47768i 4.98010 0.541619i
\(246\) 3.72455 2.24099i 0.237469 0.142880i
\(247\) −2.36977 2.24476i −0.150785 0.142831i
\(248\) −4.45941 + 2.06314i −0.283173 + 0.131010i
\(249\) −4.22495 0.459491i −0.267745 0.0291190i
\(250\) 27.2921 + 9.19577i 1.72610 + 0.581591i
\(251\) 7.95907 19.9758i 0.502372 1.26086i −0.431131 0.902289i \(-0.641885\pi\)
0.933503 0.358569i \(-0.116735\pi\)
\(252\) −4.51967 + 4.28126i −0.284713 + 0.269694i
\(253\) 3.37733 12.1641i 0.212331 0.764748i
\(254\) 6.94411 13.0980i 0.435712 0.821840i
\(255\) 0.837817 + 0.636892i 0.0524661 + 0.0398837i
\(256\) −0.869449 + 16.0360i −0.0543405 + 1.00225i
\(257\) −16.4295 + 5.53573i −1.02484 + 0.345309i −0.781017 0.624510i \(-0.785299\pi\)
−0.243825 + 0.969819i \(0.578402\pi\)
\(258\) 2.34415 0.515986i 0.145940 0.0321239i
\(259\) 18.5988 + 35.0811i 1.15567 + 2.17983i
\(260\) 0.948235 5.78398i 0.0588070 0.358707i
\(261\) −1.72540 2.03130i −0.106800 0.125734i
\(262\) −2.24182 + 2.63927i −0.138500 + 0.163055i
\(263\) −1.31520 8.02234i −0.0810984 0.494678i −0.995876 0.0907213i \(-0.971083\pi\)
0.914778 0.403957i \(-0.132366\pi\)
\(264\) −4.79702 + 3.64660i −0.295236 + 0.224433i
\(265\) 0.0139735 + 0.0206093i 0.000858384 + 0.00126602i
\(266\) −7.19740 10.6154i −0.441301 0.650870i
\(267\) −10.1979 + 7.75227i −0.624104 + 0.474431i
\(268\) 0.798357 + 4.86976i 0.0487674 + 0.297468i
\(269\) −8.03208 + 9.45610i −0.489725 + 0.576548i −0.950404 0.311018i \(-0.899330\pi\)
0.460679 + 0.887567i \(0.347606\pi\)
\(270\) 2.39482 + 2.81940i 0.145744 + 0.171583i
\(271\) 1.45853 8.89663i 0.0885993 0.540432i −0.904810 0.425815i \(-0.859988\pi\)
0.993410 0.114617i \(-0.0365642\pi\)
\(272\) −0.00285841 0.00539154i −0.000173317 0.000326910i
\(273\) −5.57987 + 1.22822i −0.337709 + 0.0743355i
\(274\) −1.54744 + 0.521393i −0.0934842 + 0.0314985i
\(275\) −1.47187 + 27.1471i −0.0887572 + 1.63703i
\(276\) −5.81614 4.42131i −0.350090 0.266132i
\(277\) −5.05385 + 9.53257i −0.303656 + 0.572756i −0.987640 0.156741i \(-0.949901\pi\)
0.683983 + 0.729497i \(0.260246\pi\)
\(278\) 0.526527 1.89638i 0.0315790 0.113737i
\(279\) −1.25883 + 1.19243i −0.0753644 + 0.0713889i
\(280\) 22.3776 56.1636i 1.33732 3.35642i
\(281\) −0.570137 0.192102i −0.0340115 0.0114598i 0.302244 0.953230i \(-0.402264\pi\)
−0.336256 + 0.941771i \(0.609161\pi\)
\(282\) 5.23460 + 0.569297i 0.311716 + 0.0339011i
\(283\) 8.87829 4.10754i 0.527760 0.244168i −0.137869 0.990450i \(-0.544025\pi\)
0.665629 + 0.746283i \(0.268163\pi\)
\(284\) 2.71475 + 2.57155i 0.161091 + 0.152594i
\(285\) 10.4441 6.28401i 0.618655 0.372233i
\(286\) −2.09417 + 0.227755i −0.123831 + 0.0134674i
\(287\) −24.4834 5.38920i −1.44521 0.318115i
\(288\) 1.51047 + 5.44024i 0.0890055 + 0.320569i
\(289\) 14.5132 + 8.73231i 0.853718 + 0.513665i
\(290\) 8.94785 + 4.13972i 0.525436 + 0.243093i
\(291\) −3.43722 8.62678i −0.201494 0.505711i
\(292\) −0.570380 10.5200i −0.0333790 0.615639i
\(293\) −3.29810 + 4.86434i −0.192677 + 0.284178i −0.911740 0.410767i \(-0.865261\pi\)
0.719063 + 0.694945i \(0.244571\pi\)
\(294\) −16.3088 −0.951147
\(295\) −12.5956 29.8444i −0.733344 1.73761i
\(296\) 22.2414 1.29275
\(297\) −1.19332 + 1.76001i −0.0692432 + 0.102126i
\(298\) −0.724932 13.3706i −0.0419942 0.774537i
\(299\) −2.48176 6.22876i −0.143524 0.360218i
\(300\) 14.2794 + 6.60635i 0.824421 + 0.381418i
\(301\) −11.8617 7.13697i −0.683699 0.411368i
\(302\) 4.54795 + 16.3802i 0.261705 + 0.942576i
\(303\) −4.89119 1.07663i −0.280992 0.0618509i
\(304\) −0.0702627 + 0.00764152i −0.00402984 + 0.000438271i
\(305\) −50.0738 + 30.1284i −2.86722 + 1.72515i
\(306\) −0.158915 0.150533i −0.00908459 0.00860538i
\(307\) −20.2931 + 9.38859i −1.15819 + 0.535835i −0.902401 0.430898i \(-0.858197\pi\)
−0.255788 + 0.966733i \(0.582335\pi\)
\(308\) 13.1603 + 1.43127i 0.749880 + 0.0815544i
\(309\) 6.43588 + 2.16850i 0.366124 + 0.123362i
\(310\) 2.37414 5.95865i 0.134842 0.338429i
\(311\) −15.1126 + 14.3154i −0.856959 + 0.811754i −0.983632 0.180190i \(-0.942329\pi\)
0.126673 + 0.991944i \(0.459570\pi\)
\(312\) −0.856190 + 3.08372i −0.0484722 + 0.174581i
\(313\) 13.4971 25.4582i 0.762900 1.43898i −0.131313 0.991341i \(-0.541919\pi\)
0.894213 0.447641i \(-0.147736\pi\)
\(314\) −3.56276 2.70834i −0.201058 0.152840i
\(315\) 1.15505 21.3036i 0.0650794 1.20032i
\(316\) 4.43772 1.49524i 0.249641 0.0841140i
\(317\) 3.17761 0.699445i 0.178472 0.0392847i −0.124835 0.992178i \(-0.539840\pi\)
0.303307 + 0.952893i \(0.401909\pi\)
\(318\) −0.00242587 0.00457568i −0.000136036 0.000256592i
\(319\) −0.916864 + 5.59262i −0.0513345 + 0.313127i
\(320\) −13.6548 16.0756i −0.763324 0.898654i
\(321\) 6.29227 7.40783i 0.351200 0.413465i
\(322\) −4.26209 25.9976i −0.237517 1.44879i
\(323\) −0.574182 + 0.436482i −0.0319483 + 0.0242865i
\(324\) 0.690593 + 1.01855i 0.0383663 + 0.0565860i
\(325\) 8.10327 + 11.9514i 0.449488 + 0.662946i
\(326\) −9.98775 + 7.59249i −0.553170 + 0.420509i
\(327\) 1.70987 + 10.4298i 0.0945562 + 0.576768i
\(328\) −9.09099 + 10.7027i −0.501966 + 0.590960i
\(329\) −19.6599 23.1454i −1.08388 1.27605i
\(330\) 1.27259 7.76243i 0.0700535 0.427308i
\(331\) 7.73790 + 14.5952i 0.425314 + 0.802227i 0.999868 0.0162397i \(-0.00516950\pi\)
−0.574555 + 0.818466i \(0.694825\pi\)
\(332\) 5.10758 1.12426i 0.280315 0.0617019i
\(333\) 7.43792 2.50613i 0.407595 0.137335i
\(334\) −0.772560 + 14.2490i −0.0422726 + 0.779672i
\(335\) −13.4632 10.2344i −0.735571 0.559167i
\(336\) −0.0579468 + 0.109299i −0.00316126 + 0.00596276i
\(337\) 1.98821 7.16090i 0.108305 0.390079i −0.889451 0.457030i \(-0.848913\pi\)
0.997756 + 0.0669507i \(0.0213270\pi\)
\(338\) 7.46631 7.07247i 0.406114 0.384692i
\(339\) −1.26063 + 3.16394i −0.0684679 + 0.171842i
\(340\) −1.22730 0.413524i −0.0665595 0.0224265i
\(341\) 3.66546 + 0.398643i 0.198496 + 0.0215877i
\(342\) −2.30087 + 1.06450i −0.124417 + 0.0575614i
\(343\) 42.5774 + 40.3314i 2.29896 + 2.17769i
\(344\) −6.64431 + 3.99775i −0.358237 + 0.215544i
\(345\) 24.8905 2.70701i 1.34006 0.145740i
\(346\) −20.8066 4.57989i −1.11857 0.246216i
\(347\) −7.99011 28.7778i −0.428932 1.54487i −0.790461 0.612512i \(-0.790159\pi\)
0.361529 0.932361i \(-0.382255\pi\)
\(348\) 2.81028 + 1.69089i 0.150647 + 0.0906412i
\(349\) 23.7986 + 11.0104i 1.27391 + 0.589373i 0.936064 0.351829i \(-0.114440\pi\)
0.337844 + 0.941202i \(0.390302\pi\)
\(350\) 20.9997 + 52.7052i 1.12248 + 2.81721i
\(351\) 0.0611434 + 1.12772i 0.00326359 + 0.0601934i
\(352\) 6.73750 9.93707i 0.359110 0.529648i
\(353\) −13.1874 −0.701893 −0.350947 0.936395i \(-0.614140\pi\)
−0.350947 + 0.936395i \(0.614140\pi\)
\(354\) 1.93329 + 6.45425i 0.102753 + 0.343040i
\(355\) −12.8148 −0.680141
\(356\) 8.84648 13.0476i 0.468863 0.691521i
\(357\) 0.0683474 + 1.26059i 0.00361733 + 0.0667177i
\(358\) −3.52980 8.85914i −0.186556 0.468220i
\(359\) 30.6482 + 14.1794i 1.61755 + 0.748359i 0.999292 0.0376161i \(-0.0119764\pi\)
0.618259 + 0.785975i \(0.287838\pi\)
\(360\) −10.2400 6.16120i −0.539695 0.324724i
\(361\) −2.84827 10.2585i −0.149909 0.539923i
\(362\) −6.10860 1.34460i −0.321061 0.0706708i
\(363\) −6.44039 + 0.700434i −0.338033 + 0.0367633i
\(364\) 6.02451 3.62483i 0.315770 0.189992i
\(365\) 26.2123 + 24.8296i 1.37202 + 1.29964i
\(366\) 11.0314 5.10368i 0.576622 0.266774i
\(367\) 16.9796 + 1.84664i 0.886328 + 0.0963939i 0.539946 0.841700i \(-0.318445\pi\)
0.346382 + 0.938094i \(0.387410\pi\)
\(368\) −0.137579 0.0463558i −0.00717180 0.00241646i
\(369\) −1.83422 + 4.60354i −0.0954856 + 0.239651i
\(370\) −21.0788 + 19.9669i −1.09583 + 1.03803i
\(371\) −0.00799086 + 0.0287805i −0.000414865 + 0.00149421i
\(372\) 0.999478 1.88522i 0.0518205 0.0977439i
\(373\) 28.6450 + 21.7754i 1.48318 + 1.12749i 0.961659 + 0.274247i \(0.0884287\pi\)
0.521522 + 0.853238i \(0.325364\pi\)
\(374\) −0.0251994 + 0.464775i −0.00130303 + 0.0240329i
\(375\) −31.1142 + 10.4836i −1.60673 + 0.541370i
\(376\) −16.6129 + 3.65677i −0.856743 + 0.188583i
\(377\) 1.40991 + 2.65937i 0.0726141 + 0.136965i
\(378\) −0.717904 + 4.37902i −0.0369250 + 0.225233i
\(379\) 7.51770 + 8.85052i 0.386158 + 0.454621i 0.920555 0.390613i \(-0.127737\pi\)
−0.534397 + 0.845234i \(0.679461\pi\)
\(380\) −9.71048 + 11.4321i −0.498137 + 0.586452i
\(381\) 2.73429 + 16.6784i 0.140082 + 0.854461i
\(382\) 0.0156491 0.0118961i 0.000800675 0.000608657i
\(383\) −9.85629 14.5369i −0.503633 0.742803i 0.487866 0.872919i \(-0.337776\pi\)
−0.991499 + 0.130116i \(0.958465\pi\)
\(384\) −3.87504 5.71525i −0.197747 0.291655i
\(385\) −36.1161 + 27.4548i −1.84065 + 1.39922i
\(386\) −0.00906383 0.0552869i −0.000461337 0.00281403i
\(387\) −1.77151 + 2.08559i −0.0900511 + 0.106016i
\(388\) 7.39813 + 8.70975i 0.375583 + 0.442171i
\(389\) 3.39634 20.7168i 0.172201 1.05038i −0.749364 0.662158i \(-0.769641\pi\)
0.921565 0.388223i \(-0.126911\pi\)
\(390\) −1.95692 3.69115i −0.0990927 0.186909i
\(391\) −1.44689 + 0.318485i −0.0731725 + 0.0161065i
\(392\) 49.9290 16.8231i 2.52180 0.849692i
\(393\) 0.213731 3.94204i 0.0107813 0.198850i
\(394\) 4.13362 + 3.14230i 0.208249 + 0.158307i
\(395\) −7.51713 + 14.1788i −0.378228 + 0.713414i
\(396\) 0.700055 2.52137i 0.0351791 0.126704i
\(397\) 7.48437 7.08957i 0.375630 0.355815i −0.476474 0.879189i \(-0.658085\pi\)
0.852103 + 0.523373i \(0.175327\pi\)
\(398\) −3.05344 + 7.66356i −0.153055 + 0.384139i
\(399\) 13.8560 + 4.66865i 0.693670 + 0.233725i
\(400\) 0.310817 + 0.0338034i 0.0155409 + 0.00169017i
\(401\) 4.90294 2.26834i 0.244841 0.113276i −0.293631 0.955919i \(-0.594864\pi\)
0.538472 + 0.842643i \(0.319002\pi\)
\(402\) 2.55367 + 2.41896i 0.127365 + 0.120647i
\(403\) 1.67796 1.00960i 0.0835854 0.0502916i
\(404\) 6.12703 0.666355i 0.304831 0.0331524i
\(405\) −4.11867 0.906588i −0.204658 0.0450487i
\(406\) 3.16398 + 11.3956i 0.157025 + 0.565555i
\(407\) −14.3007 8.60446i −0.708861 0.426507i
\(408\) 0.641796 + 0.296927i 0.0317736 + 0.0147001i
\(409\) 7.35325 + 18.4553i 0.363595 + 0.912554i 0.991000 + 0.133861i \(0.0427376\pi\)
−0.627405 + 0.778693i \(0.715883\pi\)
\(410\) −0.992444 18.3046i −0.0490133 0.903997i
\(411\) 1.04471 1.54082i 0.0515315 0.0760033i
\(412\) −8.35743 −0.411741
\(413\) 17.5042 34.6926i 0.861327 1.70711i
\(414\) −5.20756 −0.255938
\(415\) −10.0580 + 14.8345i −0.493730 + 0.728197i
\(416\) −0.345218 6.36717i −0.0169257 0.312176i
\(417\) 0.830494 + 2.08438i 0.0406695 + 0.102073i
\(418\) 4.89260 + 2.26356i 0.239305 + 0.110714i
\(419\) −32.1273 19.3303i −1.56952 0.944349i −0.991755 0.128146i \(-0.959097\pi\)
−0.577765 0.816203i \(-0.696075\pi\)
\(420\) 7.02383 + 25.2975i 0.342728 + 1.23439i
\(421\) −14.8157 3.26117i −0.722071 0.158940i −0.161294 0.986906i \(-0.551567\pi\)
−0.560777 + 0.827967i \(0.689498\pi\)
\(422\) −17.6275 + 1.91710i −0.858092 + 0.0933232i
\(423\) −5.14360 + 3.09480i −0.250090 + 0.150474i
\(424\) 0.0121467 + 0.0115060i 0.000589898 + 0.000558781i
\(425\) 2.89567 1.33968i 0.140461 0.0649840i
\(426\) 2.64976 + 0.288179i 0.128381 + 0.0139623i
\(427\) −66.4323 22.3836i −3.21488 1.08322i
\(428\) −4.42713 + 11.1112i −0.213993 + 0.537083i
\(429\) 1.74350 1.65153i 0.0841769 0.0797366i
\(430\) 2.70807 9.75359i 0.130595 0.470360i
\(431\) 6.63146 12.5083i 0.319426 0.602502i −0.670854 0.741590i \(-0.734072\pi\)
0.990280 + 0.139088i \(0.0444170\pi\)
\(432\) 0.0194675 + 0.0147988i 0.000936630 + 0.000712008i
\(433\) −0.0449158 + 0.828424i −0.00215852 + 0.0398115i −0.999414 0.0342224i \(-0.989105\pi\)
0.997256 + 0.0740339i \(0.0235873\pi\)
\(434\) 7.29155 2.45681i 0.350006 0.117931i
\(435\) −10.9770 + 2.41622i −0.526307 + 0.115849i
\(436\) −6.09219 11.4911i −0.291763 0.550323i
\(437\) −2.77599 + 16.9328i −0.132794 + 0.810006i
\(438\) −4.86163 5.72355i −0.232298 0.273482i
\(439\) 20.1182 23.6850i 0.960190 1.13042i −0.0312042 0.999513i \(-0.509934\pi\)
0.991394 0.130910i \(-0.0417899\pi\)
\(440\) 4.11121 + 25.0773i 0.195994 + 1.19551i
\(441\) 14.8016 11.2519i 0.704836 0.535802i
\(442\) 0.138733 + 0.204616i 0.00659886 + 0.00973259i
\(443\) 10.4957 + 15.4800i 0.498665 + 0.735476i 0.990843 0.135019i \(-0.0431094\pi\)
−0.492178 + 0.870495i \(0.663799\pi\)
\(444\) −7.68918 + 5.84516i −0.364912 + 0.277399i
\(445\) 8.73997 + 53.3114i 0.414314 + 2.52720i
\(446\) 7.08210 8.33770i 0.335347 0.394801i
\(447\) 9.88265 + 11.6348i 0.467433 + 0.550305i
\(448\) 4.09334 24.9683i 0.193392 1.17964i
\(449\) 6.79284 + 12.8127i 0.320574 + 0.604667i 0.990461 0.137797i \(-0.0440021\pi\)
−0.669887 + 0.742463i \(0.733657\pi\)
\(450\) 10.9526 2.41084i 0.516309 0.113648i
\(451\) 9.98584 3.36462i 0.470215 0.158434i
\(452\) 0.226907 4.18505i 0.0106728 0.196848i
\(453\) −15.4288 11.7287i −0.724907 0.551060i
\(454\) 3.76028 7.09264i 0.176479 0.332874i
\(455\) −6.44614 + 23.2169i −0.302200 + 1.08842i
\(456\) 5.94601 5.63236i 0.278448 0.263760i
\(457\) 1.84005 4.61817i 0.0860737 0.216029i −0.879639 0.475642i \(-0.842216\pi\)
0.965713 + 0.259613i \(0.0835951\pi\)
\(458\) 14.9325 + 5.03136i 0.697751 + 0.235100i
\(459\) 0.248085 + 0.0269809i 0.0115796 + 0.00125936i
\(460\) −27.9631 + 12.9371i −1.30378 + 0.603195i
\(461\) 13.4188 + 12.7109i 0.624974 + 0.592006i 0.933222 0.359299i \(-0.116984\pi\)
−0.308249 + 0.951306i \(0.599743\pi\)
\(462\) 8.08523 4.86472i 0.376159 0.226327i
\(463\) −6.81328 + 0.740989i −0.316640 + 0.0344367i −0.265059 0.964232i \(-0.585392\pi\)
−0.0515809 + 0.998669i \(0.516426\pi\)
\(464\) 0.0636501 + 0.0140104i 0.00295488 + 0.000650419i
\(465\) 1.95630 + 7.04595i 0.0907212 + 0.326748i
\(466\) 5.27252 + 3.17237i 0.244245 + 0.146957i
\(467\) −8.18736 3.78788i −0.378866 0.175282i 0.221208 0.975227i \(-0.429000\pi\)
−0.600074 + 0.799945i \(0.704862\pi\)
\(468\) −0.514421 1.29110i −0.0237791 0.0596811i
\(469\) −1.09830 20.2569i −0.0507147 0.935377i
\(470\) 12.4616 18.3795i 0.574813 0.847785i
\(471\) 5.10205 0.235090
\(472\) −12.5765 17.7653i −0.578881 0.817715i
\(473\) 5.81874 0.267546
\(474\) 1.87319 2.76275i 0.0860385 0.126897i
\(475\) −2.00057 36.8983i −0.0917924 1.69301i
\(476\) −0.575031 1.44322i −0.0263565 0.0661498i
\(477\) 0.00535856 + 0.00247913i 0.000245352 + 0.000113512i
\(478\) −9.46874 5.69715i −0.433090 0.260582i
\(479\) −1.73367 6.24413i −0.0792136 0.285302i 0.913325 0.407231i \(-0.133506\pi\)
−0.992539 + 0.121929i \(0.961092\pi\)
\(480\) 23.2542 + 5.11863i 1.06140 + 0.233632i
\(481\) −8.81229 + 0.958394i −0.401806 + 0.0436990i
\(482\) 1.14735 0.690335i 0.0522601 0.0314439i
\(483\) 21.8046 + 20.6544i 0.992145 + 0.939810i
\(484\) 7.23540 3.34745i 0.328882 0.152157i
\(485\) −38.9333 4.23426i −1.76787 0.192268i
\(486\) 0.831242 + 0.280078i 0.0377059 + 0.0127046i
\(487\) 7.76620 19.4917i 0.351920 0.883253i −0.641330 0.767265i \(-0.721617\pi\)
0.993251 0.115988i \(-0.0370035\pi\)
\(488\) −28.5079 + 27.0041i −1.29049 + 1.22242i
\(489\) 3.82645 13.7816i 0.173038 0.623226i
\(490\) −32.2164 + 60.7666i −1.45539 + 2.74516i
\(491\) 16.3128 + 12.4007i 0.736188 + 0.559635i 0.904692 0.426065i \(-0.140101\pi\)
−0.168504 + 0.985701i \(0.553894\pi\)
\(492\) 0.330150 6.08926i 0.0148843 0.274525i
\(493\) 0.630275 0.212365i 0.0283862 0.00956442i
\(494\) 2.79625 0.615501i 0.125809 0.0276927i
\(495\) 4.20053 + 7.92303i 0.188800 + 0.356114i
\(496\) 0.00685979 0.0418429i 0.000308014 0.00187880i
\(497\) −9.95185 11.7162i −0.446402 0.525545i
\(498\) 2.41333 2.84119i 0.108144 0.127317i
\(499\) −3.61541 22.0530i −0.161848 0.987230i −0.935424 0.353527i \(-0.884982\pi\)
0.773576 0.633703i \(-0.218466\pi\)
\(500\) 32.1653 24.4514i 1.43848 1.09350i
\(501\) −9.12961 13.4652i −0.407881 0.601579i
\(502\) 10.5848 + 15.6115i 0.472424 + 0.696773i
\(503\) 14.9638 11.3752i 0.667201 0.507193i −0.215876 0.976421i \(-0.569261\pi\)
0.883077 + 0.469228i \(0.155468\pi\)
\(504\) −2.31926 14.1468i −0.103308 0.630150i
\(505\) −13.6736 + 16.0978i −0.608468 + 0.716344i
\(506\) 7.16879 + 8.43975i 0.318691 + 0.375193i
\(507\) −1.89681 + 11.5700i −0.0842404 + 0.513844i
\(508\) −9.74211 18.3756i −0.432236 0.815284i
\(509\) −33.6950 + 7.41682i −1.49350 + 0.328745i −0.885294 0.465032i \(-0.846043\pi\)
−0.608209 + 0.793777i \(0.708112\pi\)
\(510\) −0.874808 + 0.294757i −0.0387371 + 0.0130521i
\(511\) −2.34481 + 43.2476i −0.103728 + 1.91316i
\(512\) −0.220246 0.167427i −0.00973358 0.00739928i
\(513\) 1.35381 2.55355i 0.0597720 0.112742i
\(514\) 4.06838 14.6530i 0.179449 0.646315i
\(515\) 20.7933 19.6965i 0.916263 0.867930i
\(516\) 1.24641 3.12824i 0.0548700 0.137713i
\(517\) 12.0964 + 4.07575i 0.531999 + 0.179251i
\(518\) −34.6246 3.76565i −1.52132 0.165453i
\(519\) 22.0435 10.1984i 0.967603 0.447661i
\(520\) 9.79863 + 9.28176i 0.429698 + 0.407032i
\(521\) 2.00012 1.20343i 0.0876269 0.0527233i −0.471066 0.882098i \(-0.656131\pi\)
0.558693 + 0.829375i \(0.311303\pi\)
\(522\) 2.32408 0.252759i 0.101722 0.0110630i
\(523\) 16.0249 + 3.52734i 0.700719 + 0.154240i 0.551020 0.834492i \(-0.314239\pi\)
0.149699 + 0.988732i \(0.452170\pi\)
\(524\) 1.29970 + 4.68110i 0.0567777 + 0.204495i
\(525\) −55.4216 33.3461i −2.41880 1.45534i
\(526\) 6.47174 + 2.99414i 0.282181 + 0.130551i
\(527\) −0.160159 0.401969i −0.00697665 0.0175101i
\(528\) −0.00281516 0.0519226i −0.000122514 0.00225964i
\(529\) −6.87243 + 10.1361i −0.298801 + 0.440699i
\(530\) −0.0218411 −0.000948717
\(531\) −6.20758 4.52394i −0.269386 0.196322i
\(532\) −17.9930 −0.780097
\(533\) 3.14076 4.63228i 0.136042 0.200646i
\(534\) −0.608325 11.2199i −0.0263248 0.485533i
\(535\) −15.1719 38.0785i −0.655936 1.64628i
\(536\) −10.3132 4.77141i −0.445464 0.206094i
\(537\) 9.31574 + 5.60509i 0.402004 + 0.241878i
\(538\) −2.91147 10.4862i −0.125522 0.452091i
\(539\) −38.6115 8.49904i −1.66312 0.366080i
\(540\) 5.15932 0.561110i 0.222022 0.0241463i
\(541\) −0.610281 + 0.367194i −0.0262380 + 0.0157869i −0.528612 0.848863i \(-0.677288\pi\)
0.502374 + 0.864650i \(0.332460\pi\)
\(542\) 5.74112 + 5.43828i 0.246602 + 0.233594i
\(543\) 6.47173 2.99414i 0.277728 0.128491i
\(544\) −1.40070 0.152335i −0.0600544 0.00653131i
\(545\) 42.2391 + 14.2320i 1.80932 + 0.609632i
\(546\) 1.85499 4.65566i 0.0793860 0.199244i
\(547\) 4.43320 4.19935i 0.189550 0.179551i −0.587039 0.809558i \(-0.699707\pi\)
0.776589 + 0.630007i \(0.216948\pi\)
\(548\) −0.612873 + 2.20737i −0.0261806 + 0.0942941i
\(549\) −6.49077 + 12.2429i −0.277019 + 0.522513i
\(550\) −18.9846 14.4317i −0.809507 0.615371i
\(551\) 0.417031 7.69168i 0.0177661 0.327676i
\(552\) 15.9429 5.37177i 0.678573 0.228638i
\(553\) −18.8010 + 4.13841i −0.799499 + 0.175983i
\(554\) −4.43302 8.36157i −0.188341 0.355249i
\(555\) 5.35505 32.6643i 0.227309 1.38652i
\(556\) −1.78752 2.10443i −0.0758077 0.0892477i
\(557\) 17.2745 20.3372i 0.731946 0.861713i −0.262719 0.964872i \(-0.584619\pi\)
0.994665 + 0.103159i \(0.0328950\pi\)
\(558\) −0.246061 1.50090i −0.0104166 0.0635383i
\(559\) 2.46028 1.87026i 0.104059 0.0791035i
\(560\) 0.292781 + 0.431820i 0.0123723 + 0.0182477i
\(561\) −0.297790 0.439207i −0.0125727 0.0185433i
\(562\) 0.420119 0.319366i 0.0177216 0.0134716i
\(563\) −2.21890 13.5347i −0.0935154 0.570418i −0.991470 0.130331i \(-0.958396\pi\)
0.897955 0.440087i \(-0.145052\pi\)
\(564\) 4.78230 5.63016i 0.201371 0.237072i
\(565\) 9.29861 + 10.9472i 0.391195 + 0.460551i
\(566\) −1.38821 + 8.46770i −0.0583508 + 0.355924i
\(567\) −2.36964 4.46962i −0.0995157 0.187707i
\(568\) −8.40946 + 1.85106i −0.352853 + 0.0776689i
\(569\) 3.47995 1.17253i 0.145887 0.0491551i −0.245411 0.969419i \(-0.578923\pi\)
0.391298 + 0.920264i \(0.372026\pi\)
\(570\) −0.578829 + 10.6759i −0.0242445 + 0.447163i
\(571\) 21.5302 + 16.3668i 0.901011 + 0.684931i 0.949458 0.313895i \(-0.101634\pi\)
−0.0484469 + 0.998826i \(0.515427\pi\)
\(572\) −1.38429 + 2.61105i −0.0578801 + 0.109173i
\(573\) −0.00599537 + 0.0215934i −0.000250460 + 0.000902076i
\(574\) 15.9646 15.1225i 0.666349 0.631199i
\(575\) 28.0952 70.5137i 1.17165 2.94063i
\(576\) −4.73957 1.59695i −0.197482 0.0665394i
\(577\) 4.18277 + 0.454903i 0.174131 + 0.0189379i 0.194769 0.980849i \(-0.437604\pi\)
−0.0206382 + 0.999787i \(0.506570\pi\)
\(578\) −13.4839 + 6.23832i −0.560857 + 0.259480i
\(579\) 0.0463700 + 0.0439240i 0.00192707 + 0.00182542i
\(580\) 11.8517 7.13094i 0.492115 0.296096i
\(581\) −21.3737 + 2.32453i −0.886730 + 0.0964377i
\(582\) 7.95514 + 1.75106i 0.329751 + 0.0725837i
\(583\) −0.00335879 0.0120973i −0.000139107 0.000501018i
\(584\) 20.7878 + 12.5076i 0.860207 + 0.517569i
\(585\) 4.32269 + 1.99989i 0.178721 + 0.0826852i
\(586\) −1.90809 4.78894i −0.0788224 0.197829i
\(587\) 1.53322 + 28.2785i 0.0632826 + 1.16718i 0.841883 + 0.539659i \(0.181447\pi\)
−0.778601 + 0.627519i \(0.784070\pi\)
\(588\) −12.8400 + 18.9376i −0.529514 + 0.780974i
\(589\) −5.01148 −0.206494
\(590\) 27.8676 + 5.54630i 1.14729 + 0.228338i
\(591\) −5.91955 −0.243498
\(592\) −0.107710 + 0.158860i −0.00442685 + 0.00652912i
\(593\) −1.17948 21.7543i −0.0484356 0.893343i −0.917276 0.398251i \(-0.869617\pi\)
0.868841 0.495092i \(-0.164865\pi\)
\(594\) −0.690382 1.73273i −0.0283267 0.0710947i
\(595\) 4.83199 + 2.23552i 0.198092 + 0.0916473i
\(596\) −16.0966 9.68498i −0.659341 0.396712i
\(597\) −2.51604 9.06195i −0.102975 0.370881i
\(598\) 5.74381 + 1.26431i 0.234882 + 0.0517014i
\(599\) 16.7212 1.81854i 0.683210 0.0743036i 0.240070 0.970756i \(-0.422830\pi\)
0.443141 + 0.896452i \(0.353864\pi\)
\(600\) −31.0443 + 18.6787i −1.26738 + 0.762555i
\(601\) −20.3825 19.3073i −0.831418 0.787561i 0.148088 0.988974i \(-0.452688\pi\)
−0.979506 + 0.201413i \(0.935447\pi\)
\(602\) 11.0205 5.09862i 0.449161 0.207804i
\(603\) −3.98657 0.433565i −0.162345 0.0176561i
\(604\) 22.6012 + 7.61523i 0.919630 + 0.309859i
\(605\) −10.1125 + 25.3806i −0.411133 + 1.03187i
\(606\) 3.18934 3.02110i 0.129558 0.122724i
\(607\) −2.66378 + 9.59409i −0.108120 + 0.389412i −0.997733 0.0673035i \(-0.978560\pi\)
0.889613 + 0.456715i \(0.150974\pi\)
\(608\) −7.64363 + 14.4174i −0.309990 + 0.584704i
\(609\) −10.7337 8.15954i −0.434951 0.330641i
\(610\) 2.77517 51.1850i 0.112363 2.07242i
\(611\) 6.42463 2.16471i 0.259913 0.0875748i
\(612\) −0.299912 + 0.0660157i −0.0121232 + 0.00266853i
\(613\) 10.8638 + 20.4913i 0.438784 + 0.827635i 1.00000 3.45707e-5i \(-1.10042e-5\pi\)
−0.561216 + 0.827670i \(0.689666\pi\)
\(614\) 3.17303 19.3546i 0.128053 0.781089i
\(615\) 13.5295 + 15.9282i 0.545562 + 0.642286i
\(616\) −19.7347 + 23.2335i −0.795133 + 0.936103i
\(617\) 6.33604 + 38.6481i 0.255079 + 1.55591i 0.734671 + 0.678423i \(0.237336\pi\)
−0.479592 + 0.877491i \(0.659215\pi\)
\(618\) −4.74242 + 3.60510i −0.190768 + 0.145018i
\(619\) 0.270174 + 0.398476i 0.0108592 + 0.0160161i 0.833080 0.553153i \(-0.186575\pi\)
−0.822221 + 0.569169i \(0.807265\pi\)
\(620\) −5.04995 7.44813i −0.202811 0.299124i
\(621\) 4.72629 3.59283i 0.189659 0.144175i
\(622\) −2.95403 18.0188i −0.118446 0.722486i
\(623\) −41.9537 + 49.3917i −1.68084 + 1.97884i
\(624\) −0.0178793 0.0210491i −0.000715744 0.000842639i
\(625\) −12.0590 + 73.5564i −0.482358 + 2.94226i
\(626\) 11.8391 + 22.3309i 0.473185 + 0.892521i
\(627\) −6.00213 + 1.32117i −0.239702 + 0.0527624i
\(628\) −5.94989 + 2.00475i −0.237426 + 0.0799982i
\(629\) −0.106039 + 1.95577i −0.00422805 + 0.0779818i
\(630\) 14.8981 + 11.3253i 0.593555 + 0.451209i
\(631\) −14.8906 + 28.0867i −0.592786 + 1.11811i 0.387748 + 0.921765i \(0.373253\pi\)
−0.980534 + 0.196348i \(0.937092\pi\)
\(632\) −2.88487 + 10.3904i −0.114754 + 0.413307i
\(633\) 14.6757 13.9016i 0.583308 0.552538i
\(634\) −1.05637 + 2.65129i −0.0419538 + 0.105296i
\(635\) 67.5452 + 22.7586i 2.68045 + 0.903148i
\(636\) −0.00722315 0.000785565i −0.000286417 3.11497e-5i
\(637\) −19.0575 + 8.81695i −0.755086 + 0.349340i
\(638\) −3.60900 3.41862i −0.142882 0.135345i
\(639\) −2.60370 + 1.56659i −0.103001 + 0.0619735i
\(640\) −28.9498 + 3.14848i −1.14434 + 0.124455i
\(641\) 42.3237 + 9.31615i 1.67168 + 0.367966i 0.947030 0.321146i \(-0.104068\pi\)
0.724655 + 0.689112i \(0.241999\pi\)
\(642\) 2.28082 + 8.21478i 0.0900169 + 0.324211i
\(643\) −35.9418 21.6255i −1.41741 0.852826i −0.418932 0.908018i \(-0.637595\pi\)
−0.998476 + 0.0551915i \(0.982423\pi\)
\(644\) −33.5438 15.5190i −1.32181 0.611535i
\(645\) 4.27146 + 10.7206i 0.168189 + 0.422121i
\(646\) −0.0342510 0.631722i −0.00134759 0.0248548i
\(647\) −9.29677 + 13.7117i −0.365494 + 0.539063i −0.965321 0.261067i \(-0.915926\pi\)
0.599827 + 0.800130i \(0.295236\pi\)
\(648\) −2.83374 −0.111320
\(649\) 1.21360 + 16.2881i 0.0476380 + 0.639366i
\(650\) −12.6657 −0.496791
\(651\) −4.92266 + 7.26039i −0.192934 + 0.284557i
\(652\) 0.952905 + 17.5753i 0.0373187 + 0.688302i
\(653\) −15.2590 38.2972i −0.597131 1.49869i −0.847640 0.530572i \(-0.821977\pi\)
0.250508 0.968114i \(-0.419402\pi\)
\(654\) −8.41385 3.89266i −0.329007 0.152215i
\(655\) −14.2659 8.58349i −0.557414 0.335385i
\(656\) −0.0324193 0.116764i −0.00126576 0.00455886i
\(657\) 8.36116 + 1.84043i 0.326200 + 0.0718020i
\(658\) 26.4814 2.88003i 1.03235 0.112275i
\(659\) 33.4327 20.1158i 1.30235 0.783599i 0.316080 0.948732i \(-0.397633\pi\)
0.986271 + 0.165133i \(0.0528055\pi\)
\(660\) −8.01175 7.58913i −0.311857 0.295407i
\(661\) 41.6966 19.2909i 1.62181 0.750329i 0.622335 0.782751i \(-0.286184\pi\)
0.999474 + 0.0324226i \(0.0103222\pi\)
\(662\) −14.4053 1.56667i −0.559879 0.0608905i
\(663\) −0.267081 0.0899902i −0.0103726 0.00349493i
\(664\) −4.45758 + 11.1877i −0.172987 + 0.434166i
\(665\) 44.7667 42.4053i 1.73598 1.64441i
\(666\) −1.84183 + 6.63367i −0.0713695 + 0.257050i
\(667\) 7.41153 13.9796i 0.286976 0.541294i
\(668\) 15.9376 + 12.1155i 0.616644 + 0.468761i
\(669\) −0.675197 + 12.4533i −0.0261046 + 0.481471i
\(670\) 14.0576 4.73655i 0.543092 0.182989i
\(671\) 28.7770 6.33429i 1.11092 0.244532i
\(672\) 13.3791 + 25.2356i 0.516110 + 0.973486i
\(673\) 1.65376 10.0875i 0.0637477 0.388844i −0.935611 0.353033i \(-0.885150\pi\)
0.999359 0.0358109i \(-0.0114014\pi\)
\(674\) 4.22022 + 4.96842i 0.162557 + 0.191377i
\(675\) −8.27706 + 9.74451i −0.318584 + 0.375066i
\(676\) −2.33421 14.2380i −0.0897771 0.547616i
\(677\) −21.2168 + 16.1286i −0.815429 + 0.619873i −0.927498 0.373827i \(-0.878045\pi\)
0.112069 + 0.993700i \(0.464252\pi\)
\(678\) −1.67652 2.47268i −0.0643864 0.0949628i
\(679\) −26.3639 38.8839i −1.01175 1.49223i
\(680\) 2.37416 1.80479i 0.0910447 0.0692104i
\(681\) 1.48063 + 9.03147i 0.0567380 + 0.346087i
\(682\) −2.09374 + 2.46495i −0.0801736 + 0.0943876i
\(683\) 8.12850 + 9.56961i 0.311029 + 0.366171i 0.895359 0.445345i \(-0.146919\pi\)
−0.584331 + 0.811516i \(0.698643\pi\)
\(684\) −0.575409 + 3.50984i −0.0220013 + 0.134202i
\(685\) −3.67741 6.93633i −0.140507 0.265024i
\(686\) −50.2399 + 11.0586i −1.91817 + 0.422221i
\(687\) −17.0238 + 5.73597i −0.649497 + 0.218841i
\(688\) 0.00362274 0.0668175i 0.000138116 0.00254739i
\(689\) −0.00530847 0.00403540i −0.000202237 0.000153736i
\(690\) −10.2870 + 19.4034i −0.391621 + 0.738675i
\(691\) 12.2047 43.9575i 0.464290 1.67222i −0.246757 0.969077i \(-0.579365\pi\)
0.711047 0.703144i \(-0.248221\pi\)
\(692\) −21.6993 + 20.5547i −0.824885 + 0.781372i
\(693\) −3.98171 + 9.99335i −0.151253 + 0.379616i
\(694\) 24.8262 + 8.36493i 0.942390 + 0.317528i
\(695\) 9.40698 + 1.02307i 0.356827 + 0.0388073i
\(696\) −6.85441 + 3.17119i −0.259816 + 0.120204i
\(697\) −0.897791 0.850433i −0.0340063 0.0322124i
\(698\) −19.7085 + 11.8582i −0.745980 + 0.448841i
\(699\) −6.97395 + 0.758462i −0.263779 + 0.0286877i
\(700\) 77.7340 + 17.1106i 2.93807 + 0.646718i
\(701\) −5.77553 20.8016i −0.218139 0.785664i −0.988905 0.148547i \(-0.952540\pi\)
0.770767 0.637118i \(-0.219873\pi\)
\(702\) −0.848841 0.510731i −0.0320375 0.0192763i
\(703\) 20.5881 + 9.52507i 0.776495 + 0.359245i
\(704\) 3.93642 + 9.87966i 0.148359 + 0.372354i
\(705\) 1.37056 + 25.2786i 0.0516184 + 0.952046i
\(706\) 6.49149 9.57423i 0.244310 0.360331i
\(707\) −25.3365 −0.952878
\(708\) 9.01672 + 2.83656i 0.338869 + 0.106604i
\(709\) −1.60268 −0.0601901 −0.0300950 0.999547i \(-0.509581\pi\)
−0.0300950 + 0.999547i \(0.509581\pi\)
\(710\) 6.30810 9.30376i 0.236739 0.349164i
\(711\) 0.206018 + 3.79978i 0.00772629 + 0.142503i
\(712\) 13.4361 + 33.7220i 0.503538 + 1.26379i
\(713\) −9.34272 4.32240i −0.349888 0.161875i
\(714\) −0.948853 0.570906i −0.0355099 0.0213656i
\(715\) −2.70950 9.75873i −0.101329 0.364956i
\(716\) −13.0662 2.87609i −0.488307 0.107484i
\(717\) 12.5243 1.36210i 0.467728 0.0508684i
\(718\) −25.3810 + 15.2712i −0.947211 + 0.569918i
\(719\) −6.12136 5.79846i −0.228288 0.216246i 0.565002 0.825089i \(-0.308875\pi\)
−0.793291 + 0.608843i \(0.791634\pi\)
\(720\) 0.0935966 0.0433024i 0.00348814 0.00161379i
\(721\) 34.1557 + 3.71466i 1.27203 + 0.138341i
\(722\) 8.84990 + 2.98188i 0.329359 + 0.110974i
\(723\) −0.565030 + 1.41812i −0.0210137 + 0.0527404i
\(724\) −6.37068 + 6.03463i −0.236765 + 0.224275i
\(725\) −9.11610 + 32.8332i −0.338563 + 1.21940i
\(726\) 2.66176 5.02060i 0.0987870 0.186332i
\(727\) −23.2297 17.6587i −0.861540 0.654926i 0.0781541 0.996941i \(-0.475097\pi\)
−0.939694 + 0.342015i \(0.888890\pi\)
\(728\) −0.876533 + 16.1667i −0.0324865 + 0.599178i
\(729\) −0.947653 + 0.319302i −0.0350983 + 0.0118260i
\(730\) −30.9297 + 6.80814i −1.14476 + 0.251981i
\(731\) −0.319860 0.603320i −0.0118305 0.0223146i
\(732\) 2.75877 16.8278i 0.101967 0.621972i
\(733\) 6.53226 + 7.69037i 0.241274 + 0.284050i 0.869450 0.494022i \(-0.164474\pi\)
−0.628175 + 0.778072i \(0.716198\pi\)
\(734\) −9.69889 + 11.4184i −0.357993 + 0.421461i
\(735\) −12.6854 77.3776i −0.467909 2.85412i
\(736\) −26.6848 + 20.2852i −0.983614 + 0.747724i
\(737\) 4.78528 + 7.05776i 0.176268 + 0.259976i
\(738\) −2.43934 3.59776i −0.0897935 0.132435i
\(739\) 31.1731 23.6972i 1.14672 0.871714i 0.153521 0.988145i \(-0.450939\pi\)
0.993199 + 0.116431i \(0.0371455\pi\)
\(740\) 6.58988 + 40.1965i 0.242249 + 1.47765i
\(741\) −2.11317 + 2.48782i −0.0776294 + 0.0913924i
\(742\) −0.0169615 0.0199687i −0.000622678 0.000733073i
\(743\) 1.12930 6.88839i 0.0414298 0.252711i −0.957989 0.286806i \(-0.907407\pi\)
0.999419 + 0.0340950i \(0.0108549\pi\)
\(744\) 2.30154 + 4.34117i 0.0843787 + 0.159155i
\(745\) 62.8734 13.8395i 2.30350 0.507039i
\(746\) −29.9097 + 10.0778i −1.09507 + 0.368973i
\(747\) −0.230083 + 4.24363i −0.00841829 + 0.155266i
\(748\) 0.519853 + 0.395182i 0.0190077 + 0.0144493i
\(749\) 23.0317 43.4425i 0.841561 1.58735i
\(750\) 7.70472 27.7499i 0.281337 1.01328i
\(751\) −5.71947 + 5.41777i −0.208706 + 0.197697i −0.784911 0.619608i \(-0.787292\pi\)
0.576205 + 0.817305i \(0.304533\pi\)
\(752\) 0.0543336 0.136367i 0.00198134 0.00497280i
\(753\) −20.3773 6.86593i −0.742592 0.250208i
\(754\) −2.62477 0.285461i −0.0955886 0.0103959i
\(755\) −74.1791 + 34.3189i −2.69965 + 1.24899i
\(756\) 4.51967 + 4.28126i 0.164379 + 0.155708i
\(757\) −5.72175 + 3.44266i −0.207960 + 0.125126i −0.615724 0.787962i \(-0.711136\pi\)
0.407764 + 0.913088i \(0.366309\pi\)
\(758\) −10.1262 + 1.10129i −0.367800 + 0.0400006i
\(759\) −12.3291 2.71383i −0.447517 0.0985059i
\(760\) −9.24044 33.2811i −0.335186 1.20723i
\(761\) 17.4582 + 10.5042i 0.632858 + 0.380778i 0.795540 0.605901i \(-0.207187\pi\)
−0.162683 + 0.986678i \(0.552015\pi\)
\(762\) −13.4547 6.22481i −0.487413 0.225501i
\(763\) 19.7905 + 49.6703i 0.716463 + 1.79819i
\(764\) −0.00149304 0.0275374i −5.40161e−5 0.000996269i
\(765\) 0.590599 0.871069i 0.0213532 0.0314936i
\(766\) 15.4058 0.556634
\(767\) 5.74847 + 6.49689i 0.207565 + 0.234589i
\(768\) 16.0596 0.579500
\(769\) −22.0390 + 32.5051i −0.794746 + 1.17216i 0.187074 + 0.982346i \(0.440100\pi\)
−0.981820 + 0.189817i \(0.939211\pi\)
\(770\) −2.15439 39.7354i −0.0776389 1.43197i
\(771\) 6.41708 + 16.1057i 0.231106 + 0.580031i
\(772\) −0.0713347 0.0330029i