Properties

Label 128.3.l.a.3.16
Level $128$
Weight $3$
Character 128.3
Analytic conductor $3.488$
Analytic rank $0$
Dimension $496$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.16
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0383871 - 1.99963i) q^{2} +(-4.01639 + 3.29616i) q^{3} +(-3.99705 + 0.153520i) q^{4} +(6.07117 + 1.84167i) q^{5} +(6.74529 + 7.90476i) q^{6} +(-2.47965 - 12.4660i) q^{7} +(0.460419 + 7.98674i) q^{8} +(3.51086 - 17.6503i) q^{9} +O(q^{10})\) \(q+(-0.0383871 - 1.99963i) q^{2} +(-4.01639 + 3.29616i) q^{3} +(-3.99705 + 0.153520i) q^{4} +(6.07117 + 1.84167i) q^{5} +(6.74529 + 7.90476i) q^{6} +(-2.47965 - 12.4660i) q^{7} +(0.460419 + 7.98674i) q^{8} +(3.51086 - 17.6503i) q^{9} +(3.44961 - 12.2108i) q^{10} +(-0.135226 - 1.37297i) q^{11} +(15.5477 - 13.7915i) q^{12} +(-2.48659 - 8.19719i) q^{13} +(-24.8323 + 5.43692i) q^{14} +(-30.4546 + 12.6147i) q^{15} +(15.9529 - 1.22726i) q^{16} +(6.61713 - 15.9752i) q^{17} +(-35.4288 - 6.34288i) q^{18} +(10.1410 - 18.9724i) q^{19} +(-24.5495 - 6.42920i) q^{20} +(51.0493 + 41.8951i) q^{21} +(-2.74024 + 0.323105i) q^{22} +(-1.97041 + 1.31659i) q^{23} +(-28.1748 - 30.5602i) q^{24} +(12.6806 + 8.47292i) q^{25} +(-16.2959 + 5.28693i) q^{26} +(22.0338 + 41.2223i) q^{27} +(11.8251 + 49.4467i) q^{28} +(-3.67760 + 37.3393i) q^{29} +(26.3938 + 60.4138i) q^{30} +(-8.68999 - 8.68999i) q^{31} +(-3.06644 - 31.8527i) q^{32} +(5.06864 + 5.06864i) q^{33} +(-32.1985 - 12.6186i) q^{34} +(7.90395 - 80.2501i) q^{35} +(-11.3234 + 71.0880i) q^{36} +(-8.33614 - 15.5958i) q^{37} +(-38.3271 - 19.5499i) q^{38} +(37.0064 + 24.7269i) q^{39} +(-11.9137 + 49.3368i) q^{40} +(38.6647 - 25.8349i) q^{41} +(81.8151 - 103.688i) q^{42} +(-2.21765 - 1.81998i) q^{43} +(0.751282 + 5.46707i) q^{44} +(53.8210 - 100.692i) q^{45} +(2.70833 + 3.88956i) q^{46} +(-21.9633 + 53.0241i) q^{47} +(-60.0276 + 57.5124i) q^{48} +(-103.983 + 43.0713i) q^{49} +(16.4559 - 25.6818i) q^{50} +(26.0798 + 85.9736i) q^{51} +(11.1975 + 32.3829i) q^{52} +(-10.2399 - 103.968i) q^{53} +(81.5836 - 45.6418i) q^{54} +(1.70758 - 8.58456i) q^{55} +(98.4213 - 25.5439i) q^{56} +(21.8061 + 109.627i) q^{57} +(74.8060 + 5.92050i) q^{58} +(15.9894 + 4.85032i) q^{59} +(119.792 - 55.0971i) q^{60} +(-50.5750 + 41.5058i) q^{61} +(-17.0432 + 17.7104i) q^{62} -228.735 q^{63} +(-63.5760 + 7.35449i) q^{64} -54.3460i q^{65} +(9.94085 - 10.3300i) q^{66} +(35.7057 + 43.5075i) q^{67} +(-23.9965 + 64.8694i) q^{68} +(3.57425 - 11.7827i) q^{69} +(-160.774 - 12.7244i) q^{70} +(28.1161 - 5.59263i) q^{71} +(142.585 + 19.9138i) q^{72} +(-59.0171 - 11.7392i) q^{73} +(-30.8659 + 17.2679i) q^{74} +(-78.8584 + 7.76687i) q^{75} +(-37.6213 + 77.3905i) q^{76} +(-16.7802 + 5.09021i) q^{77} +(48.0241 - 74.9484i) q^{78} +(15.4973 + 37.4137i) q^{79} +(99.1127 + 21.9290i) q^{80} +(-74.7359 - 30.9566i) q^{81} +(-53.1446 - 76.3234i) q^{82} +(63.3378 + 33.8548i) q^{83} +(-210.479 - 159.620i) q^{84} +(69.5947 - 84.8014i) q^{85} +(-3.55416 + 4.50435i) q^{86} +(-108.306 - 162.091i) q^{87} +(10.9033 - 1.71215i) q^{88} +(-43.0542 + 64.4352i) q^{89} +(-203.413 - 103.757i) q^{90} +(-96.0207 + 51.3241i) q^{91} +(7.67371 - 5.56496i) q^{92} +(63.5460 + 6.25874i) q^{93} +(106.872 + 41.8831i) q^{94} +(96.5083 - 96.5083i) q^{95} +(117.308 + 117.825i) q^{96} +(38.2822 - 38.2822i) q^{97} +(90.1184 + 206.275i) q^{98} +(-24.7080 - 2.43353i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0383871 1.99963i −0.0191935 0.999816i
\(3\) −4.01639 + 3.29616i −1.33880 + 1.09872i −0.352132 + 0.935950i \(0.614543\pi\)
−0.986664 + 0.162771i \(0.947957\pi\)
\(4\) −3.99705 + 0.153520i −0.999263 + 0.0383800i
\(5\) 6.07117 + 1.84167i 1.21423 + 0.368334i 0.831500 0.555525i \(-0.187483\pi\)
0.382734 + 0.923859i \(0.374983\pi\)
\(6\) 6.74529 + 7.90476i 1.12421 + 1.31746i
\(7\) −2.47965 12.4660i −0.354236 1.78086i −0.588301 0.808642i \(-0.700203\pi\)
0.234065 0.972221i \(-0.424797\pi\)
\(8\) 0.460419 + 7.98674i 0.0575524 + 0.998342i
\(9\) 3.51086 17.6503i 0.390095 1.96114i
\(10\) 3.44961 12.2108i 0.344961 1.22108i
\(11\) −0.135226 1.37297i −0.0122932 0.124815i 0.987079 0.160232i \(-0.0512242\pi\)
−0.999373 + 0.0354166i \(0.988724\pi\)
\(12\) 15.5477 13.7915i 1.29564 1.14929i
\(13\) −2.48659 8.19719i −0.191276 0.630553i −0.999151 0.0411991i \(-0.986882\pi\)
0.807875 0.589354i \(-0.200618\pi\)
\(14\) −24.8323 + 5.43692i −1.77374 + 0.388351i
\(15\) −30.4546 + 12.6147i −2.03031 + 0.840981i
\(16\) 15.9529 1.22726i 0.997054 0.0767035i
\(17\) 6.61713 15.9752i 0.389243 0.939715i −0.600858 0.799356i \(-0.705174\pi\)
0.990101 0.140359i \(-0.0448258\pi\)
\(18\) −35.4288 6.34288i −1.96827 0.352382i
\(19\) 10.1410 18.9724i 0.533734 0.998547i −0.460121 0.887856i \(-0.652194\pi\)
0.993855 0.110690i \(-0.0353061\pi\)
\(20\) −24.5495 6.42920i −1.22748 0.321460i
\(21\) 51.0493 + 41.8951i 2.43092 + 1.99501i
\(22\) −2.74024 + 0.323105i −0.124556 + 0.0146866i
\(23\) −1.97041 + 1.31659i −0.0856700 + 0.0572429i −0.597668 0.801744i \(-0.703906\pi\)
0.511997 + 0.858987i \(0.328906\pi\)
\(24\) −28.1748 30.5602i −1.17395 1.27334i
\(25\) 12.6806 + 8.47292i 0.507225 + 0.338917i
\(26\) −16.2959 + 5.28693i −0.626766 + 0.203344i
\(27\) 22.0338 + 41.2223i 0.816066 + 1.52675i
\(28\) 11.8251 + 49.4467i 0.422324 + 1.76596i
\(29\) −3.67760 + 37.3393i −0.126814 + 1.28756i 0.695499 + 0.718527i \(0.255183\pi\)
−0.822313 + 0.569035i \(0.807317\pi\)
\(30\) 26.3938 + 60.4138i 0.879795 + 2.01379i
\(31\) −8.68999 8.68999i −0.280322 0.280322i 0.552915 0.833238i \(-0.313515\pi\)
−0.833238 + 0.552915i \(0.813515\pi\)
\(32\) −3.06644 31.8527i −0.0958264 0.995398i
\(33\) 5.06864 + 5.06864i 0.153595 + 0.153595i
\(34\) −32.1985 12.6186i −0.947013 0.371135i
\(35\) 7.90395 80.2501i 0.225827 2.29286i
\(36\) −11.3234 + 71.0880i −0.314539 + 1.97467i
\(37\) −8.33614 15.5958i −0.225301 0.421508i 0.743718 0.668493i \(-0.233060\pi\)
−0.969019 + 0.246984i \(0.920560\pi\)
\(38\) −38.3271 19.5499i −1.00861 0.514470i
\(39\) 37.0064 + 24.7269i 0.948882 + 0.634023i
\(40\) −11.9137 + 49.3368i −0.297841 + 1.23342i
\(41\) 38.6647 25.8349i 0.943041 0.630120i 0.0139232 0.999903i \(-0.495568\pi\)
0.929118 + 0.369783i \(0.120568\pi\)
\(42\) 81.8151 103.688i 1.94798 2.46876i
\(43\) −2.21765 1.81998i −0.0515733 0.0423251i 0.608254 0.793743i \(-0.291870\pi\)
−0.659827 + 0.751418i \(0.729370\pi\)
\(44\) 0.751282 + 5.46707i 0.0170746 + 0.124251i
\(45\) 53.8210 100.692i 1.19602 2.23760i
\(46\) 2.70833 + 3.88956i 0.0588767 + 0.0845556i
\(47\) −21.9633 + 53.0241i −0.467304 + 1.12817i 0.498031 + 0.867159i \(0.334057\pi\)
−0.965335 + 0.261013i \(0.915943\pi\)
\(48\) −60.0276 + 57.5124i −1.25058 + 1.19817i
\(49\) −103.983 + 43.0713i −2.12211 + 0.879007i
\(50\) 16.4559 25.6818i 0.329119 0.513636i
\(51\) 26.0798 + 85.9736i 0.511369 + 1.68576i
\(52\) 11.1975 + 32.3829i 0.215336 + 0.622748i
\(53\) −10.2399 103.968i −0.193206 1.96165i −0.265041 0.964237i \(-0.585386\pi\)
0.0718353 0.997417i \(-0.477114\pi\)
\(54\) 81.5836 45.6418i 1.51081 0.845219i
\(55\) 1.70758 8.58456i 0.0310468 0.156083i
\(56\) 98.4213 25.5439i 1.75752 0.456141i
\(57\) 21.8061 + 109.627i 0.382563 + 1.92327i
\(58\) 74.8060 + 5.92050i 1.28976 + 0.102078i
\(59\) 15.9894 + 4.85032i 0.271006 + 0.0822089i 0.422863 0.906194i \(-0.361025\pi\)
−0.151857 + 0.988403i \(0.548525\pi\)
\(60\) 119.792 55.0971i 1.99653 0.918284i
\(61\) −50.5750 + 41.5058i −0.829098 + 0.680423i −0.950003 0.312241i \(-0.898920\pi\)
0.120905 + 0.992664i \(0.461420\pi\)
\(62\) −17.0432 + 17.7104i −0.274890 + 0.285651i
\(63\) −228.735 −3.63071
\(64\) −63.5760 + 7.35449i −0.993375 + 0.114914i
\(65\) 54.3460i 0.836093i
\(66\) 9.94085 10.3300i 0.150619 0.156515i
\(67\) 35.7057 + 43.5075i 0.532920 + 0.649365i 0.967977 0.251038i \(-0.0807718\pi\)
−0.435057 + 0.900403i \(0.643272\pi\)
\(68\) −23.9965 + 64.8694i −0.352890 + 0.953962i
\(69\) 3.57425 11.7827i 0.0518007 0.170764i
\(70\) −160.774 12.7244i −2.29677 0.181777i
\(71\) 28.1161 5.59263i 0.396001 0.0787695i 0.00692695 0.999976i \(-0.497795\pi\)
0.389074 + 0.921207i \(0.372795\pi\)
\(72\) 142.585 + 19.9138i 1.98034 + 0.276580i
\(73\) −59.0171 11.7392i −0.808453 0.160811i −0.226476 0.974017i \(-0.572721\pi\)
−0.581977 + 0.813205i \(0.697721\pi\)
\(74\) −30.8659 + 17.2679i −0.417107 + 0.233350i
\(75\) −78.8584 + 7.76687i −1.05144 + 0.103558i
\(76\) −37.6213 + 77.3905i −0.495017 + 1.01830i
\(77\) −16.7802 + 5.09021i −0.217924 + 0.0661066i
\(78\) 48.0241 74.9484i 0.615694 0.960877i
\(79\) 15.4973 + 37.4137i 0.196168 + 0.473591i 0.991102 0.133105i \(-0.0424946\pi\)
−0.794934 + 0.606696i \(0.792495\pi\)
\(80\) 99.1127 + 21.9290i 1.23891 + 0.274113i
\(81\) −74.7359 30.9566i −0.922665 0.382181i
\(82\) −53.1446 76.3234i −0.648104 0.930773i
\(83\) 63.3378 + 33.8548i 0.763106 + 0.407889i 0.806549 0.591167i \(-0.201333\pi\)
−0.0434431 + 0.999056i \(0.513833\pi\)
\(84\) −210.479 159.620i −2.50570 1.90024i
\(85\) 69.5947 84.8014i 0.818761 0.997663i
\(86\) −3.55416 + 4.50435i −0.0413274 + 0.0523761i
\(87\) −108.306 162.091i −1.24489 1.86312i
\(88\) 10.9033 1.71215i 0.123901 0.0194563i
\(89\) −43.0542 + 64.4352i −0.483756 + 0.723991i −0.990410 0.138158i \(-0.955882\pi\)
0.506655 + 0.862149i \(0.330882\pi\)
\(90\) −203.413 103.757i −2.26014 1.15285i
\(91\) −96.0207 + 51.3241i −1.05517 + 0.564001i
\(92\) 7.67371 5.56496i 0.0834099 0.0604887i
\(93\) 63.5460 + 6.25874i 0.683290 + 0.0672982i
\(94\) 106.872 + 41.8831i 1.13693 + 0.445564i
\(95\) 96.5083 96.5083i 1.01588 1.01588i
\(96\) 117.308 + 117.825i 1.22196 + 1.22735i
\(97\) 38.2822 38.2822i 0.394662 0.394662i −0.481684 0.876345i \(-0.659975\pi\)
0.876345 + 0.481684i \(0.159975\pi\)
\(98\) 90.1184 + 206.275i 0.919576 + 2.10485i
\(99\) −24.7080 2.43353i −0.249576 0.0245811i
\(100\) −51.9859 31.9200i −0.519859 0.319200i
\(101\) 1.18773 0.634856i 0.0117597 0.00628571i −0.465506 0.885045i \(-0.654128\pi\)
0.477266 + 0.878759i \(0.341628\pi\)
\(102\) 170.914 55.4503i 1.67563 0.543630i
\(103\) 71.3013 106.710i 0.692246 1.03602i −0.304268 0.952587i \(-0.598412\pi\)
0.996513 0.0834323i \(-0.0265882\pi\)
\(104\) 64.3240 23.6339i 0.618500 0.227249i
\(105\) 232.772 + 348.368i 2.21688 + 3.31779i
\(106\) −207.504 + 24.4671i −1.95758 + 0.230822i
\(107\) 123.504 150.490i 1.15424 1.40645i 0.256151 0.966637i \(-0.417546\pi\)
0.898091 0.439811i \(-0.144954\pi\)
\(108\) −94.3986 161.385i −0.874061 1.49431i
\(109\) 81.4270 + 43.5236i 0.747036 + 0.399299i 0.800549 0.599268i \(-0.204542\pi\)
−0.0535121 + 0.998567i \(0.517042\pi\)
\(110\) −17.2315 3.08499i −0.156650 0.0280453i
\(111\) 84.8875 + 35.1616i 0.764752 + 0.316771i
\(112\) −54.8565 195.826i −0.489790 1.74845i
\(113\) −24.9208 60.1641i −0.220538 0.532425i 0.774425 0.632665i \(-0.218039\pi\)
−0.994963 + 0.100240i \(0.968039\pi\)
\(114\) 218.376 47.8124i 1.91558 0.419407i
\(115\) −14.3874 + 4.36438i −0.125108 + 0.0379511i
\(116\) 8.96723 149.812i 0.0773037 1.29148i
\(117\) −153.413 + 15.1098i −1.31122 + 0.129144i
\(118\) 9.08508 32.1590i 0.0769922 0.272534i
\(119\) −215.555 42.8766i −1.81139 0.360307i
\(120\) −114.772 237.425i −0.956436 1.97854i
\(121\) 116.808 23.2346i 0.965358 0.192022i
\(122\) 84.9378 + 99.5381i 0.696211 + 0.815886i
\(123\) −70.1362 + 231.208i −0.570213 + 1.87974i
\(124\) 36.0685 + 33.4003i 0.290875 + 0.269357i
\(125\) −39.2386 47.8123i −0.313908 0.382499i
\(126\) 8.78046 + 457.385i 0.0696862 + 3.63004i
\(127\) 105.286i 0.829023i −0.910044 0.414512i \(-0.863952\pi\)
0.910044 0.414512i \(-0.136048\pi\)
\(128\) 17.1468 + 126.846i 0.133959 + 0.990987i
\(129\) 14.9059 0.115549
\(130\) −108.672 + 2.08619i −0.835939 + 0.0160476i
\(131\) −57.7686 + 47.4094i −0.440981 + 0.361904i −0.828530 0.559945i \(-0.810822\pi\)
0.387548 + 0.921849i \(0.373322\pi\)
\(132\) −21.0378 19.4815i −0.159377 0.147587i
\(133\) −261.657 79.3726i −1.96734 0.596787i
\(134\) 85.6283 73.0683i 0.639017 0.545286i
\(135\) 57.8530 + 290.846i 0.428540 + 2.15442i
\(136\) 130.636 + 45.4940i 0.960560 + 0.334515i
\(137\) −4.14787 + 20.8528i −0.0302764 + 0.152210i −0.992966 0.118397i \(-0.962224\pi\)
0.962690 + 0.270607i \(0.0872244\pi\)
\(138\) −23.6983 6.69488i −0.171727 0.0485136i
\(139\) 18.9841 + 192.749i 0.136577 + 1.38669i 0.782199 + 0.623029i \(0.214098\pi\)
−0.645623 + 0.763657i \(0.723402\pi\)
\(140\) −19.2725 + 321.977i −0.137661 + 2.29984i
\(141\) −86.5630 285.360i −0.613922 2.02383i
\(142\) −12.2625 56.0071i −0.0863556 0.394416i
\(143\) −10.9182 + 4.52248i −0.0763513 + 0.0316257i
\(144\) 34.3468 285.881i 0.238520 1.98528i
\(145\) −91.0940 + 219.920i −0.628234 + 1.51669i
\(146\) −21.2086 + 118.463i −0.145265 + 0.811391i
\(147\) 275.667 515.737i 1.87529 3.50842i
\(148\) 35.7142 + 61.0575i 0.241312 + 0.412551i
\(149\) 137.554 + 112.888i 0.923182 + 0.757636i 0.970464 0.241246i \(-0.0775560\pi\)
−0.0472822 + 0.998882i \(0.515056\pi\)
\(150\) 18.5580 + 157.390i 0.123720 + 1.04926i
\(151\) 91.5107 61.1455i 0.606031 0.404937i −0.214348 0.976757i \(-0.568763\pi\)
0.820379 + 0.571820i \(0.193763\pi\)
\(152\) 156.197 + 72.2579i 1.02761 + 0.475381i
\(153\) −258.734 172.881i −1.69107 1.12994i
\(154\) 10.8227 + 33.3587i 0.0702771 + 0.216615i
\(155\) −36.7543 68.7625i −0.237125 0.443629i
\(156\) −151.713 93.1535i −0.972517 0.597138i
\(157\) −21.1019 + 214.251i −0.134407 + 1.36466i 0.657242 + 0.753680i \(0.271723\pi\)
−0.791649 + 0.610976i \(0.790777\pi\)
\(158\) 74.2187 32.4250i 0.469739 0.205222i
\(159\) 383.822 + 383.822i 2.41397 + 2.41397i
\(160\) 40.0453 199.031i 0.250283 1.24394i
\(161\) 21.2986 + 21.2986i 0.132289 + 0.132289i
\(162\) −59.0329 + 150.633i −0.364401 + 0.929831i
\(163\) −24.4048 + 247.786i −0.149723 + 1.52016i 0.567533 + 0.823351i \(0.307898\pi\)
−0.717255 + 0.696810i \(0.754602\pi\)
\(164\) −150.579 + 109.199i −0.918162 + 0.665850i
\(165\) 21.4378 + 40.1074i 0.129926 + 0.243075i
\(166\) 65.2657 127.952i 0.393167 0.770794i
\(167\) −33.6015 22.4518i −0.201207 0.134442i 0.450885 0.892582i \(-0.351108\pi\)
−0.652092 + 0.758140i \(0.726108\pi\)
\(168\) −311.101 + 427.007i −1.85179 + 2.54171i
\(169\) 79.5075 53.1252i 0.470459 0.314350i
\(170\) −172.243 135.908i −1.01319 0.799461i
\(171\) −299.264 245.600i −1.75008 1.43626i
\(172\) 9.14347 + 6.93410i 0.0531597 + 0.0403145i
\(173\) 31.2683 58.4989i 0.180742 0.338144i −0.775192 0.631725i \(-0.782347\pi\)
0.955934 + 0.293581i \(0.0948471\pi\)
\(174\) −319.965 + 222.794i −1.83888 + 1.28042i
\(175\) 74.1802 179.087i 0.423887 1.02335i
\(176\) −3.84222 21.7368i −0.0218308 0.123505i
\(177\) −80.2070 + 33.2228i −0.453147 + 0.187700i
\(178\) 130.499 + 83.6191i 0.733143 + 0.469770i
\(179\) −29.1969 96.2494i −0.163111 0.537706i 0.836841 0.547446i \(-0.184400\pi\)
−0.999953 + 0.00973952i \(0.996900\pi\)
\(180\) −199.667 + 410.734i −1.10926 + 2.28185i
\(181\) 20.9280 + 212.486i 0.115624 + 1.17395i 0.861461 + 0.507824i \(0.169550\pi\)
−0.745836 + 0.666129i \(0.767950\pi\)
\(182\) 106.315 + 190.036i 0.584150 + 1.04415i
\(183\) 66.3188 333.407i 0.362398 1.82190i
\(184\) −11.4224 15.1310i −0.0620785 0.0822336i
\(185\) −21.8878 110.037i −0.118312 0.594796i
\(186\) 10.0758 127.309i 0.0541711 0.684456i
\(187\) −22.8282 6.92486i −0.122076 0.0370313i
\(188\) 79.6482 215.312i 0.423661 1.14528i
\(189\) 459.243 376.891i 2.42986 1.99413i
\(190\) −196.686 189.276i −1.03519 0.996191i
\(191\) −104.318 −0.546169 −0.273085 0.961990i \(-0.588044\pi\)
−0.273085 + 0.961990i \(0.588044\pi\)
\(192\) 231.104 239.095i 1.20367 1.24529i
\(193\) 14.2252i 0.0737056i −0.999321 0.0368528i \(-0.988267\pi\)
0.999321 0.0368528i \(-0.0117333\pi\)
\(194\) −78.0198 75.0807i −0.402164 0.387014i
\(195\) 179.133 + 218.275i 0.918633 + 1.11936i
\(196\) 409.015 188.122i 2.08681 0.959806i
\(197\) −86.6177 + 285.540i −0.439684 + 1.44944i 0.405069 + 0.914286i \(0.367248\pi\)
−0.844753 + 0.535157i \(0.820252\pi\)
\(198\) −3.91769 + 49.5003i −0.0197863 + 0.250002i
\(199\) −26.2770 + 5.22682i −0.132045 + 0.0262654i −0.260670 0.965428i \(-0.583944\pi\)
0.128625 + 0.991693i \(0.458944\pi\)
\(200\) −61.8326 + 105.178i −0.309163 + 0.525889i
\(201\) −286.815 57.0511i −1.42694 0.283837i
\(202\) −1.31507 2.35066i −0.00651026 0.0116369i
\(203\) 474.593 46.7433i 2.33789 0.230262i
\(204\) −117.441 339.637i −0.575691 1.66489i
\(205\) 282.319 85.6406i 1.37717 0.417759i
\(206\) −216.118 138.480i −1.04911 0.672233i
\(207\) 16.3203 + 39.4006i 0.0788419 + 0.190341i
\(208\) −49.7283 127.717i −0.239078 0.614024i
\(209\) −27.4198 11.3576i −0.131195 0.0543428i
\(210\) 687.673 478.832i 3.27463 2.28015i
\(211\) 263.607 + 140.901i 1.24932 + 0.667777i 0.957428 0.288674i \(-0.0932143\pi\)
0.291895 + 0.956450i \(0.405714\pi\)
\(212\) 56.8906 + 413.992i 0.268352 + 1.95279i
\(213\) −94.4907 + 115.137i −0.443619 + 0.540551i
\(214\) −305.665 241.185i −1.42834 1.12703i
\(215\) −10.1119 15.1336i −0.0470322 0.0703887i
\(216\) −319.087 + 194.958i −1.47725 + 0.902581i
\(217\) −86.7817 + 129.878i −0.399916 + 0.598516i
\(218\) 83.9055 164.495i 0.384887 0.754563i
\(219\) 275.730 147.381i 1.25904 0.672971i
\(220\) −5.50737 + 34.5751i −0.0250335 + 0.157160i
\(221\) −147.406 14.5182i −0.666994 0.0656931i
\(222\) 67.0516 171.093i 0.302034 0.770691i
\(223\) −46.0413 + 46.0413i −0.206463 + 0.206463i −0.802762 0.596299i \(-0.796637\pi\)
0.596299 + 0.802762i \(0.296637\pi\)
\(224\) −389.474 + 117.210i −1.73872 + 0.523259i
\(225\) 194.069 194.069i 0.862529 0.862529i
\(226\) −119.349 + 52.1419i −0.528094 + 0.230716i
\(227\) 88.4214 + 8.70875i 0.389522 + 0.0383645i 0.290883 0.956759i \(-0.406051\pi\)
0.0986391 + 0.995123i \(0.468551\pi\)
\(228\) −103.990 434.836i −0.456097 1.90718i
\(229\) −99.3001 + 53.0770i −0.433625 + 0.231777i −0.673742 0.738967i \(-0.735314\pi\)
0.240117 + 0.970744i \(0.422814\pi\)
\(230\) 9.27943 + 28.6020i 0.0403454 + 0.124357i
\(231\) 50.6175 75.7544i 0.219123 0.327941i
\(232\) −299.913 12.1803i −1.29273 0.0525014i
\(233\) 93.7667 + 140.332i 0.402432 + 0.602282i 0.976236 0.216710i \(-0.0695328\pi\)
−0.573804 + 0.818993i \(0.694533\pi\)
\(234\) 36.1032 + 306.189i 0.154287 + 1.30850i
\(235\) −230.996 + 281.469i −0.982960 + 1.19774i
\(236\) −64.6550 16.9323i −0.273962 0.0717471i
\(237\) −185.565 99.1864i −0.782973 0.418508i
\(238\) −77.4628 + 432.677i −0.325474 + 1.81797i
\(239\) 110.398 + 45.7282i 0.461914 + 0.191331i 0.601490 0.798880i \(-0.294574\pi\)
−0.139576 + 0.990211i \(0.544574\pi\)
\(240\) −470.357 + 238.616i −1.95982 + 0.994235i
\(241\) −99.6858 240.663i −0.413634 0.998601i −0.984154 0.177317i \(-0.943258\pi\)
0.570520 0.821284i \(-0.306742\pi\)
\(242\) −50.9446 232.682i −0.210515 0.961494i
\(243\) −0.352812 + 0.107024i −0.00145190 + 0.000440429i
\(244\) 195.779 173.665i 0.802373 0.711743i
\(245\) −710.624 + 69.9904i −2.90051 + 0.285675i
\(246\) 465.024 + 131.371i 1.89034 + 0.534029i
\(247\) −180.737 35.9508i −0.731728 0.145550i
\(248\) 65.4037 73.4058i 0.263725 0.295991i
\(249\) −365.980 + 72.7979i −1.46980 + 0.292361i
\(250\) −94.1008 + 80.2980i −0.376403 + 0.321192i
\(251\) 70.0889 231.052i 0.279239 0.920527i −0.699363 0.714766i \(-0.746533\pi\)
0.978602 0.205761i \(-0.0659669\pi\)
\(252\) 914.264 35.1154i 3.62803 0.139347i
\(253\) 2.07408 + 2.52727i 0.00819795 + 0.00998923i
\(254\) −210.533 + 4.04162i −0.828871 + 0.0159119i
\(255\) 569.990i 2.23526i
\(256\) 252.988 39.1565i 0.988233 0.152955i
\(257\) 137.720 0.535875 0.267938 0.963436i \(-0.413658\pi\)
0.267938 + 0.963436i \(0.413658\pi\)
\(258\) −0.572194 29.8063i −0.00221780 0.115528i
\(259\) −173.747 + 142.591i −0.670839 + 0.550543i
\(260\) 8.34321 + 217.224i 0.0320893 + 0.835477i
\(261\) 646.137 + 196.004i 2.47562 + 0.750972i
\(262\) 97.0190 + 113.696i 0.370301 + 0.433954i
\(263\) −24.6457 123.902i −0.0937100 0.471112i −0.998933 0.0461759i \(-0.985297\pi\)
0.905223 0.424936i \(-0.139703\pi\)
\(264\) −38.1482 + 42.8156i −0.144501 + 0.162180i
\(265\) 129.306 650.064i 0.487946 2.45307i
\(266\) −148.672 + 526.264i −0.558917 + 1.97843i
\(267\) −39.4665 400.711i −0.147815 1.50079i
\(268\) −149.397 168.420i −0.557450 0.628433i
\(269\) −13.5510 44.6718i −0.0503756 0.166066i 0.928143 0.372223i \(-0.121404\pi\)
−0.978519 + 0.206157i \(0.933904\pi\)
\(270\) 579.365 126.849i 2.14580 0.469812i
\(271\) −412.050 + 170.677i −1.52048 + 0.629803i −0.977688 0.210064i \(-0.932633\pi\)
−0.542792 + 0.839867i \(0.682633\pi\)
\(272\) 85.9565 262.970i 0.316017 0.966803i
\(273\) 216.483 522.637i 0.792980 1.91442i
\(274\) 41.8571 + 7.49374i 0.152763 + 0.0273494i
\(275\) 9.91830 18.5558i 0.0360665 0.0674758i
\(276\) −12.4776 + 47.6449i −0.0452086 + 0.172626i
\(277\) −220.211 180.722i −0.794984 0.652427i 0.146603 0.989195i \(-0.453166\pi\)
−0.941587 + 0.336769i \(0.890666\pi\)
\(278\) 384.699 45.3604i 1.38381 0.163167i
\(279\) −183.890 + 122.871i −0.659104 + 0.440399i
\(280\) 644.576 + 26.1781i 2.30206 + 0.0934932i
\(281\) 390.661 + 261.031i 1.39025 + 0.928937i 0.999966 + 0.00824407i \(0.00262420\pi\)
0.390287 + 0.920693i \(0.372376\pi\)
\(282\) −567.292 + 184.048i −2.01167 + 0.652653i
\(283\) −157.932 295.469i −0.558063 1.04406i −0.989854 0.142088i \(-0.954618\pi\)
0.431791 0.901973i \(-0.357882\pi\)
\(284\) −111.523 + 26.6704i −0.392686 + 0.0939100i
\(285\) −69.5075 + 705.722i −0.243886 + 2.47622i
\(286\) 9.46241 + 21.6588i 0.0330854 + 0.0757302i
\(287\) −417.934 417.934i −1.45622 1.45622i
\(288\) −572.975 57.7068i −1.98950 0.200371i
\(289\) −7.06554 7.06554i −0.0244482 0.0244482i
\(290\) 443.257 + 173.712i 1.52847 + 0.599008i
\(291\) −27.5717 + 279.940i −0.0947482 + 0.961995i
\(292\) 237.697 + 37.8620i 0.814030 + 0.129664i
\(293\) −20.4352 38.2315i −0.0697446 0.130483i 0.844632 0.535347i \(-0.179819\pi\)
−0.914377 + 0.404864i \(0.867319\pi\)
\(294\) −1041.87 531.436i −3.54376 1.80760i
\(295\) 88.1415 + 58.8943i 0.298785 + 0.199642i
\(296\) 120.722 73.7592i 0.407843 0.249186i
\(297\) 53.6174 35.8260i 0.180530 0.120626i
\(298\) 220.454 279.391i 0.739777 0.937554i
\(299\) 15.6919 + 12.8780i 0.0524813 + 0.0430703i
\(300\) 314.009 43.1509i 1.04670 0.143836i
\(301\) −17.1889 + 32.1582i −0.0571061 + 0.106838i
\(302\) −125.781 180.641i −0.416495 0.598148i
\(303\) −2.67780 + 6.46479i −0.00883764 + 0.0213359i
\(304\) 138.493 315.109i 0.455570 1.03654i
\(305\) −383.489 + 158.847i −1.25734 + 0.520808i
\(306\) −335.765 + 524.009i −1.09727 + 1.71245i
\(307\) 11.6637 + 38.4500i 0.0379924 + 0.125244i 0.973885 0.227040i \(-0.0729049\pi\)
−0.935893 + 0.352285i \(0.885405\pi\)
\(308\) 66.2897 22.9219i 0.215226 0.0744218i
\(309\) 65.3598 + 663.609i 0.211520 + 2.14760i
\(310\) −136.089 + 76.1347i −0.438996 + 0.245596i
\(311\) 6.46583 32.5059i 0.0207905 0.104521i −0.968997 0.247074i \(-0.920531\pi\)
0.989787 + 0.142553i \(0.0455311\pi\)
\(312\) −180.449 + 306.945i −0.578361 + 0.983799i
\(313\) −50.1094 251.917i −0.160094 0.804847i −0.974471 0.224511i \(-0.927921\pi\)
0.814378 0.580335i \(-0.197079\pi\)
\(314\) 429.233 + 33.9715i 1.36698 + 0.108190i
\(315\) −1388.69 421.254i −4.40853 1.33731i
\(316\) −67.6871 147.165i −0.214200 0.465713i
\(317\) 184.625 151.518i 0.582414 0.477975i −0.296449 0.955049i \(-0.595803\pi\)
0.878863 + 0.477074i \(0.158303\pi\)
\(318\) 752.768 782.236i 2.36720 2.45986i
\(319\) 51.7630 0.162266
\(320\) −399.525 72.4357i −1.24852 0.226361i
\(321\) 1011.51i 3.15114i
\(322\) 41.7717 43.4068i 0.129726 0.134804i
\(323\) −235.983 287.546i −0.730597 0.890235i
\(324\) 303.476 + 112.262i 0.936654 + 0.346487i
\(325\) 37.9226 125.014i 0.116685 0.384659i
\(326\) 496.418 + 39.2889i 1.52275 + 0.120518i
\(327\) −470.503 + 93.5889i −1.43885 + 0.286205i
\(328\) 224.139 + 296.910i 0.683350 + 0.905213i
\(329\) 715.462 + 142.314i 2.17466 + 0.432566i
\(330\) 79.3770 44.4074i 0.240536 0.134568i
\(331\) 179.823 17.7110i 0.543272 0.0535076i 0.177341 0.984150i \(-0.443251\pi\)
0.365931 + 0.930642i \(0.380751\pi\)
\(332\) −258.362 125.596i −0.778198 0.378300i
\(333\) −304.537 + 92.3804i −0.914526 + 0.277419i
\(334\) −43.6055 + 68.0525i −0.130555 + 0.203750i
\(335\) 136.649 + 329.899i 0.407907 + 0.984774i
\(336\) 865.799 + 605.696i 2.57678 + 1.80267i
\(337\) 331.779 + 137.427i 0.984506 + 0.407796i 0.816093 0.577921i \(-0.196136\pi\)
0.168413 + 0.985716i \(0.446136\pi\)
\(338\) −109.283 156.946i −0.323322 0.464339i
\(339\) 298.402 + 159.499i 0.880242 + 0.470499i
\(340\) −265.155 + 349.640i −0.779867 + 1.02835i
\(341\) −10.7560 + 13.1062i −0.0315424 + 0.0384346i
\(342\) −479.621 + 607.846i −1.40240 + 1.77733i
\(343\) 448.761 + 671.618i 1.30834 + 1.95807i
\(344\) 13.5146 18.5497i 0.0392868 0.0539237i
\(345\) 43.3997 64.9523i 0.125796 0.188268i
\(346\) −118.177 60.2795i −0.341551 0.174218i
\(347\) −327.419 + 175.009i −0.943570 + 0.504349i −0.870060 0.492946i \(-0.835920\pi\)
−0.0735099 + 0.997294i \(0.523420\pi\)
\(348\) 457.788 + 631.260i 1.31548 + 1.81396i
\(349\) 329.096 + 32.4131i 0.942968 + 0.0928742i 0.557803 0.829973i \(-0.311645\pi\)
0.385165 + 0.922848i \(0.374145\pi\)
\(350\) −360.955 141.459i −1.03130 0.404167i
\(351\) 283.118 283.118i 0.806604 0.806604i
\(352\) −43.3181 + 8.51743i −0.123063 + 0.0241972i
\(353\) 74.7521 74.7521i 0.211762 0.211762i −0.593254 0.805016i \(-0.702157\pi\)
0.805016 + 0.593254i \(0.202157\pi\)
\(354\) 69.5123 + 159.109i 0.196362 + 0.449461i
\(355\) 180.997 + 17.8267i 0.509851 + 0.0502160i
\(356\) 162.198 264.161i 0.455612 0.742024i
\(357\) 1007.08 538.296i 2.82096 1.50783i
\(358\) −191.343 + 62.0779i −0.534477 + 0.173402i
\(359\) 335.375 501.924i 0.934191 1.39812i 0.0169182 0.999857i \(-0.494614\pi\)
0.917273 0.398259i \(-0.130386\pi\)
\(360\) 828.980 + 383.494i 2.30272 + 1.06526i
\(361\) −56.5517 84.6356i −0.156653 0.234448i
\(362\) 424.089 50.0050i 1.17152 0.138135i
\(363\) −392.562 + 478.338i −1.08144 + 1.31774i
\(364\) 375.920 219.886i 1.03275 0.604083i
\(365\) −336.683 179.961i −0.922419 0.493043i
\(366\) −669.237 119.815i −1.82852 0.327362i
\(367\) 120.670 + 49.9833i 0.328802 + 0.136194i 0.540977 0.841037i \(-0.318055\pi\)
−0.212175 + 0.977232i \(0.568055\pi\)
\(368\) −29.8179 + 23.4215i −0.0810269 + 0.0636454i
\(369\) −320.247 773.145i −0.867878 2.09524i
\(370\) −219.194 + 47.9915i −0.592415 + 0.129707i
\(371\) −1270.67 + 385.455i −3.42500 + 1.03896i
\(372\) −254.958 15.2609i −0.685370 0.0410240i
\(373\) 8.51478 0.838632i 0.0228278 0.00224834i −0.0865968 0.996243i \(-0.527599\pi\)
0.109425 + 0.993995i \(0.465099\pi\)
\(374\) −12.9709 + 45.9138i −0.0346814 + 0.122764i
\(375\) 315.194 + 62.6961i 0.840518 + 0.167190i
\(376\) −433.602 151.002i −1.15320 0.401601i
\(377\) 315.222 62.7016i 0.836133 0.166317i
\(378\) −771.272 903.849i −2.04040 2.39113i
\(379\) −111.539 + 367.695i −0.294299 + 0.970173i 0.677730 + 0.735311i \(0.262964\pi\)
−0.972029 + 0.234862i \(0.924536\pi\)
\(380\) −370.933 + 400.565i −0.976139 + 1.05412i
\(381\) 347.040 + 422.869i 0.910866 + 1.10989i
\(382\) 4.00448 + 208.598i 0.0104829 + 0.546069i
\(383\) 144.259i 0.376656i 0.982106 + 0.188328i \(0.0603068\pi\)
−0.982106 + 0.188328i \(0.939693\pi\)
\(384\) −486.974 452.945i −1.26816 1.17955i
\(385\) −111.250 −0.288960
\(386\) −28.4451 + 0.546064i −0.0736921 + 0.00141467i
\(387\) −39.9090 + 32.7524i −0.103124 + 0.0846316i
\(388\) −147.139 + 158.893i −0.379224 + 0.409518i
\(389\) −304.454 92.3551i −0.782658 0.237417i −0.126426 0.991976i \(-0.540351\pi\)
−0.656232 + 0.754559i \(0.727851\pi\)
\(390\) 429.593 366.580i 1.10152 0.939948i
\(391\) 7.99422 + 40.1897i 0.0204456 + 0.102787i
\(392\) −391.875 810.657i −0.999682 2.06800i
\(393\) 75.7517 380.829i 0.192752 0.969031i
\(394\) 574.300 + 162.242i 1.45762 + 0.411783i
\(395\) 25.1829 + 255.686i 0.0637541 + 0.647306i
\(396\) 99.1328 + 5.93376i 0.250335 + 0.0149842i
\(397\) −50.5402 166.609i −0.127305 0.419669i 0.869998 0.493055i \(-0.164120\pi\)
−0.997304 + 0.0733853i \(0.976620\pi\)
\(398\) 11.4604 + 52.3437i 0.0287950 + 0.131517i
\(399\) 1312.54 543.671i 3.28957 1.36259i
\(400\) 212.691 + 119.605i 0.531726 + 0.299012i
\(401\) −29.4631 + 71.1303i −0.0734741 + 0.177382i −0.956350 0.292225i \(-0.905604\pi\)
0.882876 + 0.469607i \(0.155604\pi\)
\(402\) −103.071 + 575.715i −0.256396 + 1.43213i
\(403\) −49.6251 + 92.8420i −0.123139 + 0.230377i
\(404\) −4.64997 + 2.71990i −0.0115098 + 0.00673242i
\(405\) −396.722 325.582i −0.979562 0.803905i
\(406\) −111.688 947.216i −0.275093 2.33304i
\(407\) −20.2853 + 13.5542i −0.0498410 + 0.0333027i
\(408\) −674.641 + 247.876i −1.65353 + 0.607540i
\(409\) 11.0666 + 7.39449i 0.0270578 + 0.0180794i 0.569026 0.822320i \(-0.307321\pi\)
−0.541968 + 0.840399i \(0.682321\pi\)
\(410\) −182.087 561.247i −0.444115 1.36890i
\(411\) −52.0746 97.4248i −0.126702 0.237043i
\(412\) −268.613 + 437.471i −0.651973 + 1.06182i
\(413\) 20.8163 211.351i 0.0504026 0.511746i
\(414\) 78.1603 34.1470i 0.188793 0.0824807i
\(415\) 322.185 + 322.185i 0.776350 + 0.776350i
\(416\) −253.478 + 104.341i −0.609322 + 0.250820i
\(417\) −711.581 711.581i −1.70643 1.70643i
\(418\) −21.6585 + 55.2655i −0.0518147 + 0.132214i
\(419\) 62.5132 634.707i 0.149196 1.51481i −0.570946 0.820987i \(-0.693424\pi\)
0.720142 0.693826i \(-0.244076\pi\)
\(420\) −983.885 1356.71i −2.34258 3.23027i
\(421\) −254.575 476.276i −0.604691 1.13130i −0.978974 0.203983i \(-0.934611\pi\)
0.374283 0.927314i \(-0.377889\pi\)
\(422\) 271.631 532.526i 0.643675 1.26191i
\(423\) 858.779 + 573.818i 2.03021 + 1.35654i
\(424\) 825.648 129.652i 1.94728 0.305784i
\(425\) 219.265 146.509i 0.515919 0.344726i
\(426\) 233.859 + 184.527i 0.548966 + 0.433162i
\(427\) 642.822 + 527.550i 1.50544 + 1.23548i
\(428\) −470.548 + 620.476i −1.09941 + 1.44971i
\(429\) 28.9450 54.1523i 0.0674709 0.126229i
\(430\) −29.8734 + 20.8011i −0.0694730 + 0.0483746i
\(431\) 236.547 571.075i 0.548833 1.32500i −0.369514 0.929225i \(-0.620476\pi\)
0.918347 0.395776i \(-0.129524\pi\)
\(432\) 402.092 + 630.573i 0.930769 + 1.45966i
\(433\) 597.101 247.327i 1.37899 0.571195i 0.434777 0.900538i \(-0.356827\pi\)
0.944210 + 0.329343i \(0.106827\pi\)
\(434\) 263.039 + 168.546i 0.606081 + 0.388354i
\(435\) −359.025 1183.55i −0.825344 2.72080i
\(436\) −332.150 161.466i −0.761811 0.370334i
\(437\) 4.99695 + 50.7348i 0.0114347 + 0.116098i
\(438\) −305.292 545.701i −0.697013 1.24589i
\(439\) 8.90579 44.7724i 0.0202865 0.101987i −0.969315 0.245820i \(-0.920943\pi\)
0.989602 + 0.143833i \(0.0459428\pi\)
\(440\) 69.3489 + 9.68547i 0.157611 + 0.0220124i
\(441\) 395.150 + 1986.55i 0.896031 + 4.50465i
\(442\) −23.3725 + 295.314i −0.0528791 + 0.668132i
\(443\) 549.886 + 166.806i 1.24128 + 0.376537i 0.841591 0.540115i \(-0.181619\pi\)
0.399686 + 0.916652i \(0.369119\pi\)
\(444\) −344.698 127.511i −0.776346 0.287186i
\(445\) −380.058 + 311.906i −0.854063 + 0.700911i
\(446\) 93.8330 + 90.2982i 0.210388 + 0.202462i
\(447\) −924.567 −2.06838
\(448\) 249.328 + 774.305i 0.556535 + 1.72836i
\(449\) 229.413i 0.510943i 0.966817 + 0.255472i \(0.0822307\pi\)
−0.966817 + 0.255472i \(0.917769\pi\)
\(450\) −395.516 380.617i −0.878925 0.845815i
\(451\) −40.6990 49.5918i −0.0902416 0.109960i
\(452\) 108.846 + 236.653i 0.240810 + 0.523569i
\(453\) −165.997 + 547.218i −0.366439 + 1.20799i
\(454\) 14.0201 177.145i 0.0308812 0.390186i
\(455\) −677.480 + 134.759i −1.48897 + 0.296174i
\(456\) −865.520 + 224.634i −1.89807 + 0.492618i
\(457\) −753.507 149.882i −1.64881 0.327969i −0.718722 0.695298i \(-0.755272\pi\)
−0.930091 + 0.367329i \(0.880272\pi\)
\(458\) 109.946 + 196.526i 0.240057 + 0.429096i
\(459\) 804.333 79.2199i 1.75236 0.172592i
\(460\) 56.8372 19.6534i 0.123559 0.0427248i
\(461\) 54.7300 16.6022i 0.118720 0.0360134i −0.230366 0.973104i \(-0.573992\pi\)
0.349086 + 0.937091i \(0.386492\pi\)
\(462\) −153.424 98.3083i −0.332086 0.212789i
\(463\) −177.266 427.958i −0.382864 0.924315i −0.991409 0.130796i \(-0.958247\pi\)
0.608545 0.793519i \(-0.291753\pi\)
\(464\) −12.8434 + 600.182i −0.0276797 + 1.29350i
\(465\) 374.272 + 155.029i 0.804886 + 0.333395i
\(466\) 277.012 192.886i 0.594447 0.413918i
\(467\) −354.106 189.274i −0.758257 0.405297i 0.0464868 0.998919i \(-0.485197\pi\)
−0.804744 + 0.593622i \(0.797697\pi\)
\(468\) 610.879 83.9467i 1.30530 0.179373i
\(469\) 453.828 552.991i 0.967651 1.17909i
\(470\) 571.702 + 451.102i 1.21639 + 0.959791i
\(471\) −621.453 930.070i −1.31943 1.97467i
\(472\) −31.3765 + 129.936i −0.0664756 + 0.275288i
\(473\) −2.19889 + 3.29087i −0.00464881 + 0.00695744i
\(474\) −191.213 + 374.869i −0.403403 + 0.790862i
\(475\) 289.345 154.658i 0.609147 0.325596i
\(476\) 868.168 + 138.288i 1.82388 + 0.290521i
\(477\) −1871.01 184.278i −3.92245 0.386327i
\(478\) 87.2016 222.510i 0.182430 0.465502i
\(479\) −566.752 + 566.752i −1.18320 + 1.18320i −0.204288 + 0.978911i \(0.565488\pi\)
−0.978911 + 0.204288i \(0.934512\pi\)
\(480\) 495.200 + 931.380i 1.03167 + 1.94038i
\(481\) −107.113 + 107.113i −0.222689 + 0.222689i
\(482\) −477.410 + 208.573i −0.990478 + 0.432725i
\(483\) −155.747 15.3397i −0.322457 0.0317592i
\(484\) −463.322 + 110.802i −0.957277 + 0.228931i
\(485\) 302.921 161.915i 0.624579 0.333844i
\(486\) 0.227553 + 0.701386i 0.000468215 + 0.00144318i
\(487\) 176.639 264.360i 0.362709 0.542833i −0.604568 0.796553i \(-0.706654\pi\)
0.967278 + 0.253720i \(0.0816543\pi\)
\(488\) −354.782 384.819i −0.727012 0.788564i
\(489\) −718.725 1075.65i −1.46979 2.19969i
\(490\) 167.234 + 1418.30i 0.341293 + 2.89449i
\(491\) −84.2871 + 102.704i −0.171664 + 0.209173i −0.851735 0.523973i \(-0.824449\pi\)
0.680071 + 0.733147i \(0.261949\pi\)
\(492\) 244.843 934.919i 0.497649 1.90024i
\(493\) 572.166 + 305.829i 1.16058 + 0.620343i
\(494\) −64.9503 + 362.787i −0.131478 + 0.734386i
\(495\) −145.525 60.2783i −0.293989 0.121774i
\(496\) −149.295 127.965i −0.300998 0.257995i
\(497\) −139.436 336.628i −0.280555 0.677320i
\(498\) 159.618 + 729.030i 0.320518 + 1.46392i
\(499\) 699.684 212.247i 1.40217 0.425344i 0.503511 0.863989i \(-0.332041\pi\)
0.898661 + 0.438644i \(0.144541\pi\)
\(500\) 164.179 + 185.084i 0.328357 + 0.370169i
\(501\) 208.962 20.5809i 0.417089 0.0410797i
\(502\) −464.710 131.283i −0.925717 0.261519i
\(503\) 147.879 + 29.4149i 0.293993 + 0.0584789i 0.339883 0.940468i \(-0.389612\pi\)
−0.0458901 + 0.998946i \(0.514612\pi\)
\(504\) −105.314 1826.84i −0.208956 3.62469i
\(505\) 8.38012 1.66691i 0.0165943 0.00330081i
\(506\) 4.97400 4.24441i 0.00983004 0.00838817i
\(507\) −144.224 + 475.441i −0.284465 + 0.937754i
\(508\) 16.1635 + 420.834i 0.0318179 + 0.828413i
\(509\) 13.0294 + 15.8764i 0.0255981 + 0.0311913i 0.785652 0.618669i \(-0.212328\pi\)
−0.760054 + 0.649860i \(0.774828\pi\)
\(510\) 1139.77 21.8803i 2.23484 0.0429025i
\(511\) 764.819i 1.49671i
\(512\) −88.0100 504.379i −0.171895 0.985115i
\(513\) 1005.53 1.96010
\(514\) −5.28667 275.389i −0.0102853 0.535777i
\(515\) 629.407 516.541i 1.22215 1.00299i
\(516\) −59.5796 + 2.28835i −0.115464 + 0.00443479i
\(517\) 75.7704 + 22.9847i 0.146558 + 0.0444578i
\(518\) 291.799 + 341.957i 0.563318 + 0.660149i
\(519\) 67.2363 + 338.020i 0.129550 + 0.651291i
\(520\) 434.048 25.0219i 0.834707 0.0481191i
\(521\) −118.400 + 595.235i −0.227255 + 1.14249i 0.683631 + 0.729828i \(0.260400\pi\)
−0.910886 + 0.412658i \(0.864600\pi\)
\(522\) 367.132 1299.56i 0.703317 2.48958i
\(523\) 5.66945 + 57.5629i 0.0108403 + 0.110063i 0.999082 0.0428357i \(-0.0136392\pi\)
−0.988242 + 0.152899i \(0.951139\pi\)
\(524\) 223.626 198.367i 0.426767 0.378562i
\(525\) 292.363 + 963.793i 0.556882 + 1.83580i
\(526\) −246.813 + 54.0386i −0.469227 + 0.102735i
\(527\) −196.327 + 81.3212i −0.372537 + 0.154310i
\(528\) 87.0799 + 74.6389i 0.164924 + 0.141361i
\(529\) −200.290 + 483.544i −0.378621 + 0.914072i
\(530\) −1304.85 233.610i −2.46198 0.440773i
\(531\) 141.746 265.188i 0.266941 0.499412i
\(532\) 1058.04 + 277.087i 1.98880 + 0.520840i
\(533\) −307.917 252.701i −0.577706 0.474111i
\(534\) −799.759 + 94.3007i −1.49768 + 0.176593i
\(535\) 1026.97 686.196i 1.91956 1.28261i
\(536\) −331.043 + 305.203i −0.617618 + 0.569409i
\(537\) 434.520 + 290.337i 0.809162 + 0.540665i
\(538\) −88.8069 + 28.8119i −0.165069 + 0.0535537i
\(539\) 73.1968 + 136.942i 0.135801 + 0.254066i
\(540\) −275.892 1153.65i −0.510911 2.13638i
\(541\) 26.0039 264.022i 0.0480663 0.488026i −0.940773 0.339038i \(-0.889899\pi\)
0.988839 0.148988i \(-0.0476015\pi\)
\(542\) 357.108 + 817.396i 0.658871 + 1.50811i
\(543\) −784.442 784.442i −1.44464 1.44464i
\(544\) −529.144 161.787i −0.972691 0.297402i
\(545\) 414.201 + 414.201i 0.760002 + 0.760002i
\(546\) −1053.39 412.825i −1.92929 0.756089i
\(547\) −78.0677 + 792.635i −0.142720 + 1.44906i 0.610879 + 0.791724i \(0.290816\pi\)
−0.753599 + 0.657335i \(0.771684\pi\)
\(548\) 13.3779 83.9864i 0.0244123 0.153260i
\(549\) 555.027 + 1038.38i 1.01098 + 1.89141i
\(550\) −37.4856 19.1206i −0.0681556 0.0347648i
\(551\) 671.121 + 448.429i 1.21801 + 0.813846i
\(552\) 95.7512 + 23.1216i 0.173462 + 0.0418870i
\(553\) 427.973 285.962i 0.773911 0.517111i
\(554\) −352.925 + 447.278i −0.637048 + 0.807360i
\(555\) 450.610 + 369.806i 0.811911 + 0.666318i
\(556\) −105.472 767.514i −0.189697 1.38042i
\(557\) −24.4311 + 45.7074i −0.0438619 + 0.0820599i −0.902897 0.429856i \(-0.858564\pi\)
0.859035 + 0.511916i \(0.171064\pi\)
\(558\) 252.757 + 362.996i 0.452969 + 0.650530i
\(559\) −9.40432 + 22.7040i −0.0168235 + 0.0406155i
\(560\) 27.6032 1289.92i 0.0492914 2.30343i
\(561\) 114.512 47.4325i 0.204122 0.0845500i
\(562\) 506.970 791.198i 0.902082 1.40783i
\(563\) 245.762 + 810.169i 0.436522 + 1.43902i 0.849164 + 0.528128i \(0.177106\pi\)
−0.412642 + 0.910893i \(0.635394\pi\)
\(564\) 389.805 + 1127.31i 0.691144 + 1.99878i
\(565\) −40.4959 411.162i −0.0716742 0.727721i
\(566\) −584.767 + 327.147i −1.03316 + 0.577999i
\(567\) −200.588 + 1008.42i −0.353770 + 1.77852i
\(568\) 57.6121 + 221.981i 0.101430 + 0.390811i
\(569\) −113.009 568.136i −0.198610 0.998481i −0.943520 0.331316i \(-0.892507\pi\)
0.744910 0.667165i \(-0.232493\pi\)
\(570\) 1413.85 + 111.899i 2.48044 + 0.196314i
\(571\) 68.0682 + 20.6483i 0.119209 + 0.0361616i 0.349325 0.937001i \(-0.386411\pi\)
−0.230117 + 0.973163i \(0.573911\pi\)
\(572\) 42.9465 19.7528i 0.0750812 0.0345328i
\(573\) 418.983 343.850i 0.731209 0.600088i
\(574\) −819.671 + 851.757i −1.42800 + 1.48390i
\(575\) −36.1414 −0.0628545
\(576\) −93.3976 + 1147.95i −0.162149 + 1.99298i
\(577\) 981.366i 1.70081i −0.526131 0.850404i \(-0.676358\pi\)
0.526131 0.850404i \(-0.323642\pi\)
\(578\) −13.8573 + 14.3997i −0.0239745 + 0.0249130i
\(579\) 46.8885 + 57.1339i 0.0809819 + 0.0986768i
\(580\) 330.345 893.018i 0.569561 1.53969i
\(581\) 264.979 873.519i 0.456074 1.50348i
\(582\) 560.836 + 44.3872i 0.963636 + 0.0762667i
\(583\) −141.360 + 28.1182i −0.242469 + 0.0482301i
\(584\) 66.5856 476.759i 0.114016 0.816368i
\(585\) −959.222 190.801i −1.63970 0.326156i
\(586\) −75.6645 + 42.3304i −0.129120 + 0.0722362i
\(587\) −49.8879 + 4.91353i −0.0849879 + 0.00837058i −0.140422 0.990092i \(-0.544846\pi\)
0.0554338 + 0.998462i \(0.482346\pi\)
\(588\) −1022.68 + 2103.75i −1.73925 + 3.57781i
\(589\) −252.995 + 76.7451i −0.429533 + 0.130297i
\(590\) 114.383 178.511i 0.193870 0.302562i
\(591\) −593.297 1432.35i −1.00389 2.42360i
\(592\) −152.125 238.567i −0.256968 0.402985i
\(593\) 355.782 + 147.370i 0.599969 + 0.248515i 0.661933 0.749563i \(-0.269736\pi\)
−0.0619637 + 0.998078i \(0.519736\pi\)
\(594\) −73.6970 105.840i −0.124069 0.178181i
\(595\) −1229.71 657.292i −2.06674 1.10469i
\(596\) −567.142 430.101i −0.951580 0.721646i
\(597\) 88.3102 107.606i 0.147923 0.180245i
\(598\) 25.1489 31.8724i 0.0420551 0.0532984i
\(599\) −176.170 263.657i −0.294107 0.440162i 0.654761 0.755836i \(-0.272769\pi\)
−0.948868 + 0.315674i \(0.897769\pi\)
\(600\) −98.3399 626.245i −0.163900 1.04374i
\(601\) −70.0684 + 104.865i −0.116586 + 0.174484i −0.885173 0.465262i \(-0.845960\pi\)
0.768587 + 0.639745i \(0.220960\pi\)
\(602\) 64.9644 + 33.1371i 0.107914 + 0.0550449i
\(603\) 893.276 477.466i 1.48139 0.791818i
\(604\) −356.386 + 258.451i −0.590043 + 0.427898i
\(605\) 751.953 + 74.0609i 1.24290 + 0.122415i
\(606\) 13.0300 + 5.10646i 0.0215016 + 0.00842650i
\(607\) −735.293 + 735.293i −1.21136 + 1.21136i −0.240775 + 0.970581i \(0.577402\pi\)
−0.970581 + 0.240775i \(0.922598\pi\)
\(608\) −635.419 264.839i −1.04510 0.435591i
\(609\) −1752.07 + 1752.07i −2.87697 + 2.87697i
\(610\) 332.356 + 760.740i 0.544845 + 1.24711i
\(611\) 489.262 + 48.1881i 0.800757 + 0.0788677i
\(612\) 1060.71 + 651.292i 1.73319 + 1.06420i
\(613\) −341.569 + 182.572i −0.557208 + 0.297834i −0.725861 0.687842i \(-0.758558\pi\)
0.168653 + 0.985676i \(0.446058\pi\)
\(614\) 76.4381 24.7990i 0.124492 0.0403893i
\(615\) −851.618 + 1274.54i −1.38474 + 2.07242i
\(616\) −48.3801 131.675i −0.0785390 0.213758i
\(617\) 496.898 + 743.661i 0.805346 + 1.20529i 0.975529 + 0.219873i \(0.0705642\pi\)
−0.170183 + 0.985413i \(0.554436\pi\)
\(618\) 1324.46 156.170i 2.14315 0.252702i
\(619\) 44.3514 54.0423i 0.0716501 0.0873059i −0.735952 0.677034i \(-0.763265\pi\)
0.807602 + 0.589728i \(0.200765\pi\)
\(620\) 157.465 + 269.205i 0.253977 + 0.434201i
\(621\) −97.6883 52.2155i −0.157308 0.0840829i
\(622\) −65.2481 11.6815i −0.104900 0.0187805i
\(623\) 910.012 + 376.939i 1.46069 + 0.605039i
\(624\) 620.704 + 349.048i 0.994718 + 0.559372i
\(625\) −296.076 714.790i −0.473721 1.14366i
\(626\) −501.818 + 109.871i −0.801626 + 0.175512i
\(627\) 147.565 44.7634i 0.235351 0.0713930i
\(628\) 51.4535 859.612i 0.0819323 1.36881i
\(629\) −304.307 + 29.9716i −0.483795 + 0.0476496i
\(630\) −789.044 + 2793.03i −1.25245 + 4.43339i
\(631\) −802.496 159.626i −1.27178 0.252974i −0.487362 0.873200i \(-0.662041\pi\)
−0.784423 + 0.620227i \(0.787041\pi\)
\(632\) −291.678 + 140.999i −0.461516 + 0.223099i
\(633\) −1523.18 + 302.979i −2.40629 + 0.478640i
\(634\) −310.067 363.366i −0.489065 0.573132i
\(635\) 193.902 639.209i 0.305357 1.00663i
\(636\) −1593.08 1475.23i −2.50484 2.31955i
\(637\) 611.628 + 745.271i 0.960170 + 1.16997i
\(638\) −1.98703 103.507i −0.00311447 0.162237i
\(639\) 515.891i 0.807341i
\(640\) −129.508 + 801.684i −0.202356 + 1.25263i
\(641\) 603.925 0.942160 0.471080 0.882090i \(-0.343864\pi\)
0.471080 + 0.882090i \(0.343864\pi\)
\(642\) 2022.66 38.8291i 3.15055 0.0604815i
\(643\) −249.240 + 204.546i −0.387620 + 0.318111i −0.807940 0.589264i \(-0.799418\pi\)
0.420320 + 0.907376i \(0.361918\pi\)
\(644\) −88.4012 81.8617i −0.137269 0.127114i
\(645\) 90.4962 + 27.4517i 0.140304 + 0.0425608i
\(646\) −565.927 + 482.917i −0.876049 + 0.747550i
\(647\) −91.8140 461.580i −0.141907 0.713416i −0.984572 0.174978i \(-0.944015\pi\)
0.842665 0.538438i \(-0.180985\pi\)
\(648\) 212.833 611.149i 0.328445 0.943131i
\(649\) 4.49717 22.6088i 0.00692938 0.0348363i
\(650\) −251.438 71.0323i −0.386828 0.109281i
\(651\) −79.5502 807.687i −0.122197 1.24069i
\(652\) 59.5072 994.161i 0.0912687 1.52479i
\(653\) 225.047 + 741.880i 0.344635 + 1.13611i 0.942414 + 0.334449i \(0.108550\pi\)
−0.597779 + 0.801661i \(0.703950\pi\)
\(654\) 205.205 + 937.240i 0.313768 + 1.43309i
\(655\) −438.035 + 181.440i −0.668756 + 0.277008i
\(656\) 585.107 459.592i 0.891931 0.700598i
\(657\) −414.401 + 1000.45i −0.630747 + 1.52276i
\(658\) 257.111 1436.12i 0.390747 2.18256i
\(659\) −53.4285 + 99.9576i −0.0810751 + 0.151681i −0.919192 0.393810i \(-0.871157\pi\)
0.838117 + 0.545491i \(0.183657\pi\)
\(660\) −91.8454 157.020i −0.139160 0.237909i
\(661\) −620.278 509.049i −0.938393 0.770119i 0.0349701 0.999388i \(-0.488866\pi\)
−0.973363 + 0.229269i \(0.926366\pi\)
\(662\) −42.3184 358.900i −0.0639251 0.542145i
\(663\) 639.892 427.562i 0.965147 0.644890i
\(664\) −241.227 + 521.450i −0.363294 + 0.785316i
\(665\) −1442.38 963.770i −2.16900 1.44928i
\(666\) 196.417 + 605.416i 0.294920 + 0.909033i
\(667\) −41.9140 78.4157i −0.0628397 0.117565i
\(668\) 137.754 + 84.5826i 0.206218 + 0.126621i
\(669\) 33.1600 336.679i 0.0495665 0.503258i
\(670\) 654.431 285.911i 0.976763 0.426733i
\(671\) 63.8252 + 63.8252i 0.0951195 + 0.0951195i
\(672\) 1177.93 1754.53i 1.75288 2.61091i
\(673\) 734.665 + 734.665i 1.09163 + 1.09163i 0.995355 + 0.0962715i \(0.0306917\pi\)
0.0962715 + 0.995355i \(0.469308\pi\)
\(674\) 262.068 668.710i 0.388825 0.992152i
\(675\) −69.8712 + 709.414i −0.103513 + 1.05098i
\(676\) −309.640 + 224.550i −0.458047 + 0.332175i
\(677\) 281.065 + 525.835i 0.415162 + 0.776713i 0.999392 0.0348750i \(-0.0111033\pi\)
−0.584230 + 0.811588i \(0.698603\pi\)
\(678\) 307.485 602.817i 0.453518 0.889111i
\(679\) −572.154 382.301i −0.842642 0.563035i
\(680\) 709.329 + 516.790i 1.04313 + 0.759986i
\(681\) −383.840 + 256.474i −0.563642 + 0.376614i
\(682\) 26.6204 + 21.0049i 0.0390329 + 0.0307989i
\(683\) 707.762 + 580.845i 1.03625 + 0.850432i 0.988920 0.148447i \(-0.0474274\pi\)
0.0473342 + 0.998879i \(0.484927\pi\)
\(684\) 1233.88 + 935.732i 1.80392 + 1.36803i
\(685\) −63.5863 + 118.962i −0.0928267 + 0.173667i
\(686\) 1325.76 923.137i 1.93260 1.34568i
\(687\) 223.877 540.487i 0.325876 0.786735i
\(688\) −37.6114 26.3122i −0.0546678 0.0382445i
\(689\) −826.780 + 342.464i −1.19997 + 0.497044i
\(690\) −131.547 84.2902i −0.190647 0.122160i
\(691\) −164.538 542.410i −0.238116 0.784964i −0.991808 0.127736i \(-0.959229\pi\)
0.753692 0.657228i \(-0.228271\pi\)
\(692\) −116.000 + 238.624i −0.167631 + 0.344832i
\(693\) 30.9308 + 314.045i 0.0446331 + 0.453168i
\(694\) 362.522 + 647.999i 0.522366 + 0.933716i
\(695\) −239.724 + 1205.18i −0.344927 + 1.73407i
\(696\) 1244.71 939.640i 1.78838 1.35006i
\(697\) −156.868 788.628i −0.225061 1.13146i
\(698\) 52.1812 659.315i 0.0747582 0.944577i
\(699\) −839.160 254.556i −1.20051 0.364172i
\(700\) −269.009 + 727.208i −0.384298 + 1.03887i
\(701\) −160.491 + 131.711i −0.228945 + 0.187890i −0.741871 0.670542i \(-0.766061\pi\)
0.512926 + 0.858433i \(0.328561\pi\)
\(702\) −577.000 555.264i −0.821937 0.790974i
\(703\) −380.426 −0.541147
\(704\) 18.6946 + 86.2933i 0.0265548 + 0.122576i
\(705\) 1891.89i 2.68353i
\(706\) −152.346 146.607i −0.215788 0.207659i
\(707\) −10.8593 13.2321i −0.0153597 0.0187158i
\(708\) 315.491 145.107i 0.445609 0.204953i
\(709\) 160.150 527.944i 0.225882 0.744632i −0.768601 0.639729i \(-0.779047\pi\)
0.994482 0.104903i \(-0.0334533\pi\)
\(710\) 28.6988 362.612i 0.0404209 0.510721i
\(711\) 714.771 142.177i 1.00530 0.199967i
\(712\) −534.450 314.196i −0.750633 0.441286i
\(713\) 28.5640 + 5.68173i 0.0400617 + 0.00796877i
\(714\) −1115.05 1993.13i −1.56170 2.79150i
\(715\) −74.6154 + 7.34897i −0.104357 + 0.0102783i
\(716\) 131.478 + 380.232i 0.183628 + 0.531050i
\(717\) −594.127 + 180.226i −0.828629 + 0.251362i
\(718\) −1016.54 651.358i −1.41579 0.907184i
\(719\) −26.9356 65.0282i −0.0374625 0.0904426i 0.904041 0.427446i \(-0.140587\pi\)
−0.941503 + 0.337003i \(0.890587\pi\)
\(720\) 735.024 1672.38i 1.02087 2.32275i
\(721\) −1507.05 624.242i −2.09023 0.865800i
\(722\) −167.069 + 116.331i −0.231398 + 0.161124i
\(723\) 1193.64 + 638.014i 1.65096 + 0.882454i
\(724\) −116.271 846.103i −0.160595 1.16865i
\(725\) −363.007 + 442.325i −0.500699 + 0.610104i
\(726\) 971.570 + 766.618i 1.33825 + 1.05595i
\(727\) −230.698 345.263i −0.317328 0.474915i 0.638177 0.769890i \(-0.279689\pi\)
−0.955505 + 0.294974i \(0.904689\pi\)
\(728\) −454.122 743.262i −0.623794 1.02096i
\(729\) 405.543 606.938i 0.556300 0.832562i
\(730\) −346.931 + 680.150i −0.475248 + 0.931712i
\(731\) −43.7489 + 23.3843i −0.0598480 + 0.0319894i
\(732\) −213.895 + 1342.83i −0.292206 + 1.83446i
\(733\) −1247.84 122.901i −1.70237 0.167669i −0.800400 0.599467i \(-0.795379\pi\)
−0.901970 + 0.431798i \(0.857879\pi\)
\(734\) 95.3160 243.215i 0.129858 0.331355i
\(735\) 2623.44 2623.44i 3.56931 3.56931i
\(736\) 47.9790 + 58.7257i 0.0651889 + 0.0797904i
\(737\) 54.9060 54.9060i 0.0744994 0.0744994i
\(738\) −1533.71 + 670.055i −2.07820 + 0.907934i
\(739\) −393.660 38.7721i −0.532693 0.0524656i −0.171905 0.985114i \(-0.554992\pi\)
−0.360788 + 0.932648i \(0.617492\pi\)
\(740\) 104.379 + 436.464i 0.141053 + 0.589817i
\(741\) 844.408 451.346i 1.13955 0.609103i
\(742\) 819.545 + 2526.08i 1.10451 + 3.40442i
\(743\) −492.716 + 737.402i −0.663144 + 0.992465i 0.335582 + 0.942011i \(0.391067\pi\)
−0.998726 + 0.0504543i \(0.983933\pi\)
\(744\) −20.7291 + 510.407i −0.0278617 + 0.686031i
\(745\) 627.212 + 938.690i 0.841896 + 1.25999i
\(746\) −2.00381 16.9942i −0.00268608 0.0227805i
\(747\) 819.915 999.070i 1.09761 1.33744i
\(748\) 92.3086 + 24.1744i 0.123407 + 0.0323188i
\(749\) −2182.26 1166.44i −2.91356 1.55733i
\(750\) 113.270 632.679i 0.151026 0.843573i
\(751\) 974.484 + 403.645i 1.29758 + 0.537476i 0.921236 0.389003i \(-0.127180\pi\)
0.376346 + 0.926479i \(0.377180\pi\)
\(752\) −285.303 + 872.841i −0.379393 + 1.16069i
\(753\) 480.082 + 1159.02i 0.637559 + 1.53920i
\(754\) −137.481