Properties

Label 637.2.w.b.92.9
Level $637$
Weight $2$
Character 637.92
Analytic conductor $5.086$
Analytic rank $0$
Dimension $174$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.w (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 92.9
Character \(\chi\) \(=\) 637.92
Dual form 637.2.w.b.547.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.807700 + 1.01282i) q^{2} +(-2.74330 - 1.32111i) q^{3} +(0.0716088 + 0.313739i) q^{4} +(2.02464 + 0.975017i) q^{5} +(3.55382 - 1.71143i) q^{6} +(0.327305 + 2.62543i) q^{7} +(-2.70992 - 1.30503i) q^{8} +(3.90993 + 4.90289i) q^{9} +O(q^{10})\) \(q+(-0.807700 + 1.01282i) q^{2} +(-2.74330 - 1.32111i) q^{3} +(0.0716088 + 0.313739i) q^{4} +(2.02464 + 0.975017i) q^{5} +(3.55382 - 1.71143i) q^{6} +(0.327305 + 2.62543i) q^{7} +(-2.70992 - 1.30503i) q^{8} +(3.90993 + 4.90289i) q^{9} +(-2.62283 + 1.26309i) q^{10} +(0.920319 - 1.15404i) q^{11} +(0.218037 - 0.955283i) q^{12} +(0.623490 - 0.781831i) q^{13} +(-2.92346 - 1.78906i) q^{14} +(-4.26611 - 5.34954i) q^{15} +(2.93069 - 1.41135i) q^{16} +(-0.687909 + 3.01393i) q^{17} -8.12382 q^{18} +8.01334 q^{19} +(-0.160918 + 0.705029i) q^{20} +(2.57057 - 7.63475i) q^{21} +(0.425501 + 1.86424i) q^{22} +(-0.871587 - 3.81867i) q^{23} +(5.71006 + 7.16019i) q^{24} +(0.0310749 + 0.0389667i) q^{25} +(0.288265 + 1.26297i) q^{26} +(-2.21626 - 9.71006i) q^{27} +(-0.800260 + 0.290692i) q^{28} +(-2.13245 + 9.34287i) q^{29} +8.86388 q^{30} -0.571629 q^{31} +(0.400915 - 1.75653i) q^{32} +(-4.04933 + 1.95005i) q^{33} +(-2.49695 - 3.13108i) q^{34} +(-1.89716 + 5.63468i) q^{35} +(-1.25824 + 1.57779i) q^{36} +(-1.03389 + 4.52979i) q^{37} +(-6.47238 + 8.11610i) q^{38} +(-2.74330 + 1.32111i) q^{39} +(-4.21420 - 5.28444i) q^{40} +(4.62696 + 2.22822i) q^{41} +(5.65641 + 8.77013i) q^{42} +(-6.68214 + 3.21795i) q^{43} +(0.427971 + 0.206100i) q^{44} +(3.13580 + 13.7389i) q^{45} +(4.57162 + 2.20158i) q^{46} +(-4.13030 + 5.17923i) q^{47} -9.90433 q^{48} +(-6.78574 + 1.71863i) q^{49} -0.0645656 q^{50} +(5.86886 - 7.35932i) q^{51} +(0.289938 + 0.139627i) q^{52} +(0.0492321 + 0.215700i) q^{53} +(11.6247 + 5.59814i) q^{54} +(2.98853 - 1.43920i) q^{55} +(2.53929 - 7.54185i) q^{56} +(-21.9830 - 10.5865i) q^{57} +(-7.74031 - 9.70604i) q^{58} +(-9.48023 + 4.56544i) q^{59} +(1.37287 - 1.72152i) q^{60} +(-2.08561 + 9.13766i) q^{61} +(0.461705 - 0.578960i) q^{62} +(-11.5925 + 11.8700i) q^{63} +(5.51144 + 6.91113i) q^{64} +(2.02464 - 0.975017i) q^{65} +(1.29558 - 5.67632i) q^{66} +2.01084 q^{67} -0.994846 q^{68} +(-2.65384 + 11.6272i) q^{69} +(-4.17461 - 6.47263i) q^{70} +(-3.29304 - 14.4277i) q^{71} +(-4.19718 - 18.3890i) q^{72} +(10.4056 + 13.0481i) q^{73} +(-3.75280 - 4.70587i) q^{74} +(-0.0337688 - 0.147951i) q^{75} +(0.573826 + 2.51409i) q^{76} +(3.33108 + 2.03851i) q^{77} +(0.877720 - 3.84554i) q^{78} -4.15138 q^{79} +7.30970 q^{80} +(-2.56184 + 11.2241i) q^{81} +(-5.99399 + 2.88656i) q^{82} +(-1.02639 - 1.28705i) q^{83} +(2.57939 + 0.259772i) q^{84} +(-4.33140 + 5.43141i) q^{85} +(2.13795 - 9.36697i) q^{86} +(18.1929 - 22.8131i) q^{87} +(-4.00005 + 1.92632i) q^{88} +(-1.42108 - 1.78197i) q^{89} +(-16.4478 - 7.92086i) q^{90} +(2.25671 + 1.38103i) q^{91} +(1.13565 - 0.546901i) q^{92} +(1.56815 + 0.755183i) q^{93} +(-1.90961 - 8.36653i) q^{94} +(16.2242 + 7.81314i) q^{95} +(-3.42039 + 4.28903i) q^{96} -2.98125 q^{97} +(3.74017 - 8.26091i) q^{98} +9.25653 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} + O(q^{10}) \) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.807700 + 1.01282i −0.571130 + 0.716175i −0.980572 0.196162i \(-0.937152\pi\)
0.409441 + 0.912337i \(0.365724\pi\)
\(3\) −2.74330 1.32111i −1.58385 0.762741i −0.585014 0.811024i \(-0.698911\pi\)
−0.998834 + 0.0482829i \(0.984625\pi\)
\(4\) 0.0716088 + 0.313739i 0.0358044 + 0.156869i
\(5\) 2.02464 + 0.975017i 0.905448 + 0.436041i 0.827854 0.560944i \(-0.189562\pi\)
0.0775945 + 0.996985i \(0.475276\pi\)
\(6\) 3.55382 1.71143i 1.45084 0.698687i
\(7\) 0.327305 + 2.62543i 0.123710 + 0.992318i
\(8\) −2.70992 1.30503i −0.958102 0.461398i
\(9\) 3.90993 + 4.90289i 1.30331 + 1.63430i
\(10\) −2.62283 + 1.26309i −0.829411 + 0.399423i
\(11\) 0.920319 1.15404i 0.277487 0.347957i −0.623485 0.781835i \(-0.714284\pi\)
0.900972 + 0.433878i \(0.142855\pi\)
\(12\) 0.218037 0.955283i 0.0629419 0.275767i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) −2.92346 1.78906i −0.781328 0.478145i
\(15\) −4.26611 5.34954i −1.10151 1.38124i
\(16\) 2.93069 1.41135i 0.732674 0.352837i
\(17\) −0.687909 + 3.01393i −0.166843 + 0.730985i 0.820404 + 0.571785i \(0.193749\pi\)
−0.987246 + 0.159200i \(0.949108\pi\)
\(18\) −8.12382 −1.91480
\(19\) 8.01334 1.83839 0.919193 0.393807i \(-0.128842\pi\)
0.919193 + 0.393807i \(0.128842\pi\)
\(20\) −0.160918 + 0.705029i −0.0359824 + 0.157649i
\(21\) 2.57057 7.63475i 0.560944 1.66604i
\(22\) 0.425501 + 1.86424i 0.0907172 + 0.397458i
\(23\) −0.871587 3.81867i −0.181738 0.796248i −0.980803 0.195002i \(-0.937529\pi\)
0.799064 0.601245i \(-0.205329\pi\)
\(24\) 5.71006 + 7.16019i 1.16556 + 1.46157i
\(25\) 0.0310749 + 0.0389667i 0.00621498 + 0.00779333i
\(26\) 0.288265 + 1.26297i 0.0565334 + 0.247689i
\(27\) −2.21626 9.71006i −0.426519 1.86870i
\(28\) −0.800260 + 0.290692i −0.151235 + 0.0549356i
\(29\) −2.13245 + 9.34287i −0.395986 + 1.73493i 0.246969 + 0.969023i \(0.420566\pi\)
−0.642955 + 0.765904i \(0.722292\pi\)
\(30\) 8.86388 1.61832
\(31\) −0.571629 −0.102668 −0.0513338 0.998682i \(-0.516347\pi\)
−0.0513338 + 0.998682i \(0.516347\pi\)
\(32\) 0.400915 1.75653i 0.0708725 0.310513i
\(33\) −4.04933 + 1.95005i −0.704897 + 0.339461i
\(34\) −2.49695 3.13108i −0.428224 0.536976i
\(35\) −1.89716 + 5.63468i −0.320679 + 0.952435i
\(36\) −1.25824 + 1.57779i −0.209707 + 0.262964i
\(37\) −1.03389 + 4.52979i −0.169971 + 0.744693i 0.816037 + 0.577999i \(0.196166\pi\)
−0.986009 + 0.166694i \(0.946691\pi\)
\(38\) −6.47238 + 8.11610i −1.04996 + 1.31661i
\(39\) −2.74330 + 1.32111i −0.439280 + 0.211546i
\(40\) −4.21420 5.28444i −0.666324 0.835543i
\(41\) 4.62696 + 2.22822i 0.722609 + 0.347990i 0.758773 0.651356i \(-0.225799\pi\)
−0.0361634 + 0.999346i \(0.511514\pi\)
\(42\) 5.65641 + 8.77013i 0.872803 + 1.35326i
\(43\) −6.68214 + 3.21795i −1.01902 + 0.490733i −0.867350 0.497699i \(-0.834178\pi\)
−0.151667 + 0.988432i \(0.548464\pi\)
\(44\) 0.427971 + 0.206100i 0.0645191 + 0.0310707i
\(45\) 3.13580 + 13.7389i 0.467458 + 2.04807i
\(46\) 4.57162 + 2.20158i 0.674049 + 0.324605i
\(47\) −4.13030 + 5.17923i −0.602466 + 0.755468i −0.985760 0.168158i \(-0.946218\pi\)
0.383294 + 0.923626i \(0.374789\pi\)
\(48\) −9.90433 −1.42957
\(49\) −6.78574 + 1.71863i −0.969392 + 0.245519i
\(50\) −0.0645656 −0.00913095
\(51\) 5.86886 7.35932i 0.821805 1.03051i
\(52\) 0.289938 + 0.139627i 0.0402072 + 0.0193628i
\(53\) 0.0492321 + 0.215700i 0.00676255 + 0.0296287i 0.978197 0.207681i \(-0.0665916\pi\)
−0.971434 + 0.237310i \(0.923734\pi\)
\(54\) 11.6247 + 5.59814i 1.58192 + 0.761810i
\(55\) 2.98853 1.43920i 0.402973 0.194062i
\(56\) 2.53929 7.54185i 0.339327 1.00782i
\(57\) −21.9830 10.5865i −2.91172 1.40221i
\(58\) −7.74031 9.70604i −1.01635 1.27447i
\(59\) −9.48023 + 4.56544i −1.23422 + 0.594370i −0.933238 0.359260i \(-0.883029\pi\)
−0.300984 + 0.953629i \(0.597315\pi\)
\(60\) 1.37287 1.72152i 0.177236 0.222247i
\(61\) −2.08561 + 9.13766i −0.267035 + 1.16996i 0.646408 + 0.762992i \(0.276270\pi\)
−0.913443 + 0.406966i \(0.866587\pi\)
\(62\) 0.461705 0.578960i 0.0586366 0.0735280i
\(63\) −11.5925 + 11.8700i −1.46051 + 1.49548i
\(64\) 5.51144 + 6.91113i 0.688930 + 0.863891i
\(65\) 2.02464 0.975017i 0.251126 0.120936i
\(66\) 1.29558 5.67632i 0.159475 0.698706i
\(67\) 2.01084 0.245663 0.122832 0.992428i \(-0.460802\pi\)
0.122832 + 0.992428i \(0.460802\pi\)
\(68\) −0.994846 −0.120643
\(69\) −2.65384 + 11.6272i −0.319485 + 1.39975i
\(70\) −4.17461 6.47263i −0.498961 0.773627i
\(71\) −3.29304 14.4277i −0.390812 1.71226i −0.661805 0.749676i \(-0.730209\pi\)
0.270993 0.962581i \(-0.412648\pi\)
\(72\) −4.19718 18.3890i −0.494642 2.16717i
\(73\) 10.4056 + 13.0481i 1.21788 + 1.52717i 0.776862 + 0.629671i \(0.216810\pi\)
0.441016 + 0.897499i \(0.354618\pi\)
\(74\) −3.75280 4.70587i −0.436255 0.547046i
\(75\) −0.0337688 0.147951i −0.00389928 0.0170839i
\(76\) 0.573826 + 2.51409i 0.0658223 + 0.288386i
\(77\) 3.33108 + 2.03851i 0.379612 + 0.232309i
\(78\) 0.877720 3.84554i 0.0993822 0.435422i
\(79\) −4.15138 −0.467067 −0.233533 0.972349i \(-0.575029\pi\)
−0.233533 + 0.972349i \(0.575029\pi\)
\(80\) 7.30970 0.817249
\(81\) −2.56184 + 11.2241i −0.284648 + 1.24713i
\(82\) −5.99399 + 2.88656i −0.661926 + 0.318767i
\(83\) −1.02639 1.28705i −0.112661 0.141272i 0.722304 0.691576i \(-0.243083\pi\)
−0.834964 + 0.550304i \(0.814512\pi\)
\(84\) 2.57939 + 0.259772i 0.281435 + 0.0283434i
\(85\) −4.33140 + 5.43141i −0.469807 + 0.589119i
\(86\) 2.13795 9.36697i 0.230541 1.01007i
\(87\) 18.1929 22.8131i 1.95048 2.44583i
\(88\) −4.00005 + 1.92632i −0.426407 + 0.205347i
\(89\) −1.42108 1.78197i −0.150634 0.188889i 0.700789 0.713368i \(-0.252831\pi\)
−0.851423 + 0.524480i \(0.824260\pi\)
\(90\) −16.4478 7.92086i −1.73375 0.834932i
\(91\) 2.25671 + 1.38103i 0.236568 + 0.144771i
\(92\) 1.13565 0.546901i 0.118400 0.0570184i
\(93\) 1.56815 + 0.755183i 0.162610 + 0.0783088i
\(94\) −1.90961 8.36653i −0.196961 0.862941i
\(95\) 16.2242 + 7.81314i 1.66456 + 0.801611i
\(96\) −3.42039 + 4.28903i −0.349092 + 0.437747i
\(97\) −2.98125 −0.302700 −0.151350 0.988480i \(-0.548362\pi\)
−0.151350 + 0.988480i \(0.548362\pi\)
\(98\) 3.74017 8.26091i 0.377815 0.834477i
\(99\) 9.25653 0.930316
\(100\) −0.0100001 + 0.0125398i −0.00100001 + 0.00125398i
\(101\) 1.31168 + 0.631672i 0.130517 + 0.0628538i 0.498003 0.867175i \(-0.334067\pi\)
−0.367486 + 0.930029i \(0.619781\pi\)
\(102\) 2.71342 + 11.8883i 0.268668 + 1.17711i
\(103\) 12.6604 + 6.09691i 1.24746 + 0.600747i 0.936831 0.349783i \(-0.113745\pi\)
0.310633 + 0.950530i \(0.399459\pi\)
\(104\) −2.70992 + 1.30503i −0.265730 + 0.127969i
\(105\) 12.6485 12.9513i 1.23437 1.26392i
\(106\) −0.258231 0.124358i −0.0250816 0.0120787i
\(107\) 1.25596 + 1.57492i 0.121418 + 0.152254i 0.838826 0.544400i \(-0.183243\pi\)
−0.717407 + 0.696654i \(0.754671\pi\)
\(108\) 2.88772 1.39065i 0.277871 0.133816i
\(109\) 4.81661 6.03984i 0.461348 0.578512i −0.495681 0.868505i \(-0.665081\pi\)
0.957029 + 0.289993i \(0.0936529\pi\)
\(110\) −0.956180 + 4.18930i −0.0911682 + 0.399434i
\(111\) 8.82062 11.0607i 0.837216 1.04984i
\(112\) 4.66463 + 7.23239i 0.440766 + 0.683396i
\(113\) −4.58339 5.74739i −0.431169 0.540669i 0.518023 0.855367i \(-0.326668\pi\)
−0.949192 + 0.314698i \(0.898097\pi\)
\(114\) 28.4779 13.7142i 2.66720 1.28446i
\(115\) 1.95862 8.58126i 0.182642 0.800206i
\(116\) −3.08392 −0.286335
\(117\) 6.27104 0.579757
\(118\) 3.03320 13.2893i 0.279229 1.22338i
\(119\) −8.13801 0.819582i −0.746010 0.0751309i
\(120\) 4.57953 + 20.0642i 0.418052 + 1.83161i
\(121\) 1.96290 + 8.60003i 0.178446 + 0.781821i
\(122\) −7.57030 9.49285i −0.685382 0.859442i
\(123\) −9.74943 12.2254i −0.879076 1.10233i
\(124\) −0.0409337 0.179342i −0.00367596 0.0161054i
\(125\) −2.47531 10.8450i −0.221398 0.970008i
\(126\) −2.65897 21.3285i −0.236880 1.90009i
\(127\) 3.77441 16.5368i 0.334925 1.46740i −0.474540 0.880234i \(-0.657386\pi\)
0.809465 0.587168i \(-0.199757\pi\)
\(128\) −7.84795 −0.693668
\(129\) 22.5824 1.98827
\(130\) −0.647785 + 2.83813i −0.0568145 + 0.248920i
\(131\) −4.50138 + 2.16775i −0.393288 + 0.189397i −0.620067 0.784549i \(-0.712895\pi\)
0.226780 + 0.973946i \(0.427180\pi\)
\(132\) −0.901775 1.13079i −0.0784894 0.0984226i
\(133\) 2.62281 + 21.0384i 0.227426 + 1.82426i
\(134\) −1.62416 + 2.03663i −0.140306 + 0.175938i
\(135\) 4.98034 21.8203i 0.428640 1.87799i
\(136\) 5.79745 7.26977i 0.497127 0.623378i
\(137\) −14.7835 + 7.11936i −1.26304 + 0.608248i −0.940977 0.338470i \(-0.890091\pi\)
−0.322063 + 0.946718i \(0.604376\pi\)
\(138\) −9.63283 12.0792i −0.820001 1.02825i
\(139\) 13.5797 + 6.53965i 1.15182 + 0.554686i 0.909579 0.415531i \(-0.136404\pi\)
0.242238 + 0.970217i \(0.422119\pi\)
\(140\) −1.90367 0.191720i −0.160890 0.0162033i
\(141\) 18.1730 8.75164i 1.53044 0.737021i
\(142\) 17.2725 + 8.31802i 1.44948 + 0.698033i
\(143\) −0.328458 1.43907i −0.0274670 0.120341i
\(144\) 18.3785 + 8.85062i 1.53154 + 0.737551i
\(145\) −13.4269 + 16.8368i −1.11504 + 1.39822i
\(146\) −21.6200 −1.78929
\(147\) 20.8858 + 4.24995i 1.72264 + 0.350530i
\(148\) −1.49521 −0.122905
\(149\) −2.82883 + 3.54724i −0.231747 + 0.290602i −0.884084 0.467327i \(-0.845217\pi\)
0.652338 + 0.757929i \(0.273788\pi\)
\(150\) 0.177123 + 0.0852980i 0.0144620 + 0.00696455i
\(151\) −3.87717 16.9870i −0.315519 1.38238i −0.845321 0.534259i \(-0.820591\pi\)
0.529801 0.848122i \(-0.322266\pi\)
\(152\) −21.7155 10.4576i −1.76136 0.848227i
\(153\) −17.4666 + 8.41149i −1.41209 + 0.680029i
\(154\) −4.75517 + 1.72730i −0.383182 + 0.139190i
\(155\) −1.15735 0.557348i −0.0929603 0.0447673i
\(156\) −0.610927 0.766078i −0.0489133 0.0613353i
\(157\) −1.66767 + 0.803105i −0.133094 + 0.0640948i −0.499246 0.866460i \(-0.666389\pi\)
0.366152 + 0.930555i \(0.380675\pi\)
\(158\) 3.35307 4.20462i 0.266756 0.334502i
\(159\) 0.149904 0.656772i 0.0118881 0.0520854i
\(160\) 2.52435 3.16544i 0.199568 0.250250i
\(161\) 9.74037 3.53816i 0.767649 0.278846i
\(162\) −9.29888 11.6604i −0.730589 0.916130i
\(163\) −20.7483 + 9.99185i −1.62513 + 0.782622i −0.625133 + 0.780518i \(0.714955\pi\)
−0.999998 + 0.00210380i \(0.999330\pi\)
\(164\) −0.367750 + 1.61122i −0.0287164 + 0.125815i
\(165\) −10.0998 −0.786267
\(166\) 2.13257 0.165519
\(167\) −0.174831 + 0.765987i −0.0135289 + 0.0592738i −0.981242 0.192781i \(-0.938249\pi\)
0.967713 + 0.252055i \(0.0811064\pi\)
\(168\) −16.9296 + 17.3349i −1.30615 + 1.33742i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −2.00259 8.77390i −0.153591 0.672927i
\(171\) 31.3316 + 39.2885i 2.39599 + 3.00447i
\(172\) −1.48810 1.86601i −0.113466 0.142282i
\(173\) −2.62380 11.4956i −0.199484 0.873996i −0.971245 0.238083i \(-0.923481\pi\)
0.771761 0.635913i \(-0.219376\pi\)
\(174\) 8.41131 + 36.8524i 0.637660 + 2.79377i
\(175\) −0.0921332 + 0.0943389i −0.00696462 + 0.00713135i
\(176\) 1.06842 4.68104i 0.0805349 0.352847i
\(177\) 32.0386 2.40817
\(178\) 2.95263 0.221309
\(179\) −2.94055 + 12.8834i −0.219787 + 0.962950i 0.737848 + 0.674967i \(0.235842\pi\)
−0.957635 + 0.287984i \(0.907015\pi\)
\(180\) −4.08586 + 1.96765i −0.304542 + 0.146660i
\(181\) −0.0950420 0.119179i −0.00706441 0.00885849i 0.778287 0.627909i \(-0.216089\pi\)
−0.785351 + 0.619051i \(0.787518\pi\)
\(182\) −3.22149 + 1.17020i −0.238793 + 0.0867407i
\(183\) 17.7933 22.3121i 1.31532 1.64936i
\(184\) −2.62155 + 11.4857i −0.193263 + 0.846741i
\(185\) −6.50989 + 8.16314i −0.478617 + 0.600166i
\(186\) −2.03147 + 0.978302i −0.148954 + 0.0717326i
\(187\) 2.84511 + 3.56765i 0.208055 + 0.260893i
\(188\) −1.92069 0.924955i −0.140081 0.0674593i
\(189\) 24.7677 8.99678i 1.80158 0.654419i
\(190\) −21.0176 + 10.1215i −1.52478 + 0.734294i
\(191\) 16.7907 + 8.08598i 1.21493 + 0.585081i 0.927896 0.372838i \(-0.121615\pi\)
0.287037 + 0.957919i \(0.407330\pi\)
\(192\) −5.98923 26.2405i −0.432235 1.89375i
\(193\) 24.8472 + 11.9658i 1.78854 + 0.861315i 0.947082 + 0.320990i \(0.104016\pi\)
0.841457 + 0.540325i \(0.181699\pi\)
\(194\) 2.40796 3.01948i 0.172881 0.216786i
\(195\) −6.84231 −0.489988
\(196\) −1.02512 2.00588i −0.0732229 0.143277i
\(197\) −2.75500 −0.196286 −0.0981429 0.995172i \(-0.531290\pi\)
−0.0981429 + 0.995172i \(0.531290\pi\)
\(198\) −7.47650 + 9.37524i −0.531332 + 0.666269i
\(199\) 2.05054 + 0.987487i 0.145359 + 0.0700011i 0.505149 0.863032i \(-0.331437\pi\)
−0.359790 + 0.933033i \(0.617152\pi\)
\(200\) −0.0333579 0.146150i −0.00235876 0.0103344i
\(201\) −5.51634 2.65653i −0.389093 0.187377i
\(202\) −1.69922 + 0.818301i −0.119557 + 0.0575754i
\(203\) −25.2270 2.54062i −1.77059 0.178317i
\(204\) 2.72917 + 1.31430i 0.191080 + 0.0920192i
\(205\) 7.19538 + 9.02272i 0.502547 + 0.630174i
\(206\) −16.4009 + 7.89825i −1.14270 + 0.550297i
\(207\) 15.3147 19.2040i 1.06444 1.33477i
\(208\) 0.723822 3.17127i 0.0501880 0.219888i
\(209\) 7.37483 9.24774i 0.510127 0.639680i
\(210\) 2.90120 + 23.2715i 0.200202 + 1.60588i
\(211\) −4.51787 5.66522i −0.311023 0.390010i 0.601611 0.798790i \(-0.294526\pi\)
−0.912633 + 0.408779i \(0.865955\pi\)
\(212\) −0.0641480 + 0.0308921i −0.00440570 + 0.00212167i
\(213\) −10.0268 + 43.9301i −0.687022 + 3.01004i
\(214\) −2.60956 −0.178386
\(215\) −16.6665 −1.13665
\(216\) −6.66603 + 29.2058i −0.453566 + 1.98720i
\(217\) −0.187097 1.50077i −0.0127010 0.101879i
\(218\) 2.22692 + 9.75677i 0.150826 + 0.660812i
\(219\) −11.3076 49.5419i −0.764097 3.34773i
\(220\) 0.665538 + 0.834558i 0.0448706 + 0.0562659i
\(221\) 1.92748 + 2.41698i 0.129656 + 0.162584i
\(222\) 4.07813 + 17.8675i 0.273706 + 1.19919i
\(223\) 3.45748 + 15.1482i 0.231530 + 1.01440i 0.948371 + 0.317162i \(0.102730\pi\)
−0.716842 + 0.697236i \(0.754413\pi\)
\(224\) 4.74285 + 0.477654i 0.316895 + 0.0319146i
\(225\) −0.0695489 + 0.304714i −0.00463659 + 0.0203142i
\(226\) 9.52310 0.633467
\(227\) −3.73124 −0.247651 −0.123826 0.992304i \(-0.539516\pi\)
−0.123826 + 0.992304i \(0.539516\pi\)
\(228\) 1.74721 7.65501i 0.115712 0.506965i
\(229\) 7.01140 3.37651i 0.463326 0.223126i −0.187632 0.982239i \(-0.560081\pi\)
0.650959 + 0.759113i \(0.274367\pi\)
\(230\) 7.10933 + 8.91482i 0.468775 + 0.587826i
\(231\) −6.44509 9.99295i −0.424056 0.657488i
\(232\) 17.9715 22.5355i 1.17989 1.47953i
\(233\) 6.11213 26.7790i 0.400419 1.75435i −0.225288 0.974292i \(-0.572332\pi\)
0.625707 0.780058i \(-0.284810\pi\)
\(234\) −5.06512 + 6.35146i −0.331117 + 0.415208i
\(235\) −13.4122 + 6.45898i −0.874916 + 0.421337i
\(236\) −2.11122 2.64739i −0.137429 0.172330i
\(237\) 11.3885 + 5.48441i 0.739762 + 0.356251i
\(238\) 7.40316 7.58039i 0.479876 0.491364i
\(239\) −0.876517 + 0.422108i −0.0566972 + 0.0273039i −0.462018 0.886871i \(-0.652874\pi\)
0.405320 + 0.914175i \(0.367160\pi\)
\(240\) −20.0527 9.65689i −1.29440 0.623349i
\(241\) −2.01206 8.81542i −0.129608 0.567851i −0.997473 0.0710499i \(-0.977365\pi\)
0.867865 0.496801i \(-0.165492\pi\)
\(242\) −10.2958 4.95817i −0.661836 0.318724i
\(243\) 3.22671 4.04617i 0.206994 0.259562i
\(244\) −3.01619 −0.193092
\(245\) −15.4144 3.13659i −0.984790 0.200390i
\(246\) 20.2568 1.29153
\(247\) 4.99624 6.26508i 0.317903 0.398638i
\(248\) 1.54907 + 0.745994i 0.0983661 + 0.0473706i
\(249\) 1.11536 + 4.88673i 0.0706833 + 0.309684i
\(250\) 12.9834 + 6.25248i 0.821143 + 0.395442i
\(251\) 22.1588 10.6711i 1.39865 0.673554i 0.425763 0.904835i \(-0.360006\pi\)
0.972887 + 0.231281i \(0.0742916\pi\)
\(252\) −4.55419 2.78701i −0.286887 0.175565i
\(253\) −5.20905 2.50855i −0.327490 0.157711i
\(254\) 13.7003 + 17.1796i 0.859631 + 1.07794i
\(255\) 19.0578 9.17776i 1.19345 0.574734i
\(256\) −4.68408 + 5.87366i −0.292755 + 0.367104i
\(257\) 4.40759 19.3109i 0.274938 1.20458i −0.629167 0.777270i \(-0.716604\pi\)
0.904105 0.427311i \(-0.140539\pi\)
\(258\) −18.2398 + 22.8720i −1.13556 + 1.42395i
\(259\) −12.2310 1.23179i −0.760000 0.0765398i
\(260\) 0.450883 + 0.565389i 0.0279626 + 0.0350640i
\(261\) −54.1448 + 26.0748i −3.35148 + 1.61399i
\(262\) 1.44022 6.31000i 0.0889769 0.389833i
\(263\) 3.17318 0.195667 0.0978333 0.995203i \(-0.468809\pi\)
0.0978333 + 0.995203i \(0.468809\pi\)
\(264\) 13.5182 0.831990
\(265\) −0.110634 + 0.484718i −0.00679617 + 0.0297760i
\(266\) −23.4267 14.3363i −1.43638 0.879016i
\(267\) 1.54427 + 6.76588i 0.0945077 + 0.414065i
\(268\) 0.143994 + 0.630878i 0.00879582 + 0.0385370i
\(269\) −6.59453 8.26928i −0.402076 0.504187i 0.539036 0.842283i \(-0.318789\pi\)
−0.941112 + 0.338096i \(0.890217\pi\)
\(270\) 18.0775 + 22.6685i 1.10016 + 1.37956i
\(271\) 4.66987 + 20.4601i 0.283675 + 1.24286i 0.893043 + 0.449972i \(0.148566\pi\)
−0.609368 + 0.792888i \(0.708577\pi\)
\(272\) 2.23765 + 9.80378i 0.135677 + 0.594442i
\(273\) −4.36637 6.76994i −0.264264 0.409735i
\(274\) 4.72998 20.7234i 0.285749 1.25195i
\(275\) 0.0735680 0.00443632
\(276\) −3.83795 −0.231017
\(277\) −3.60367 + 15.7887i −0.216524 + 0.948652i 0.743501 + 0.668735i \(0.233164\pi\)
−0.960024 + 0.279917i \(0.909693\pi\)
\(278\) −17.5919 + 8.47179i −1.05509 + 0.508104i
\(279\) −2.23503 2.80264i −0.133808 0.167790i
\(280\) 12.4946 12.7937i 0.746694 0.764570i
\(281\) 5.06463 6.35084i 0.302130 0.378859i −0.607471 0.794342i \(-0.707816\pi\)
0.909601 + 0.415483i \(0.136387\pi\)
\(282\) −5.81444 + 25.4747i −0.346245 + 1.51700i
\(283\) 7.90700 9.91507i 0.470023 0.589390i −0.489154 0.872197i \(-0.662694\pi\)
0.959177 + 0.282808i \(0.0912659\pi\)
\(284\) 4.29073 2.06631i 0.254608 0.122613i
\(285\) −34.1858 42.8676i −2.02499 2.53926i
\(286\) 1.72282 + 0.829666i 0.101872 + 0.0490592i
\(287\) −4.33562 + 12.8770i −0.255923 + 0.760108i
\(288\) 10.1796 4.90224i 0.599839 0.288867i
\(289\) 6.70593 + 3.22940i 0.394466 + 0.189965i
\(290\) −6.20781 27.1982i −0.364535 1.59713i
\(291\) 8.17847 + 3.93855i 0.479431 + 0.230882i
\(292\) −3.34858 + 4.19899i −0.195961 + 0.245727i
\(293\) 14.7248 0.860231 0.430115 0.902774i \(-0.358473\pi\)
0.430115 + 0.902774i \(0.358473\pi\)
\(294\) −21.1740 + 17.7210i −1.23489 + 1.03351i
\(295\) −23.6455 −1.37669
\(296\) 8.71329 10.9261i 0.506449 0.635068i
\(297\) −13.2455 6.37870i −0.768582 0.370129i
\(298\) −1.30789 5.73022i −0.0757638 0.331943i
\(299\) −3.52898 1.69947i −0.204086 0.0982828i
\(300\) 0.0439997 0.0211891i 0.00254032 0.00122336i
\(301\) −10.6356 16.4902i −0.613026 0.950481i
\(302\) 20.3364 + 9.79350i 1.17023 + 0.563553i
\(303\) −2.76383 3.46574i −0.158778 0.199102i
\(304\) 23.4847 11.3096i 1.34694 0.648651i
\(305\) −13.1320 + 16.4670i −0.751936 + 0.942898i
\(306\) 5.58845 24.4846i 0.319471 1.39969i
\(307\) 6.82506 8.55836i 0.389527 0.488451i −0.547944 0.836515i \(-0.684589\pi\)
0.937471 + 0.348064i \(0.113161\pi\)
\(308\) −0.401023 + 1.19106i −0.0228504 + 0.0678672i
\(309\) −26.6766 33.4514i −1.51758 1.90298i
\(310\) 1.49928 0.722018i 0.0851537 0.0410078i
\(311\) −3.65845 + 16.0287i −0.207452 + 0.908905i 0.758804 + 0.651319i \(0.225784\pi\)
−0.966255 + 0.257586i \(0.917073\pi\)
\(312\) 9.15822 0.518482
\(313\) −7.69867 −0.435154 −0.217577 0.976043i \(-0.569815\pi\)
−0.217577 + 0.976043i \(0.569815\pi\)
\(314\) 0.533569 2.33772i 0.0301111 0.131925i
\(315\) −35.0440 + 12.7296i −1.97451 + 0.717233i
\(316\) −0.297275 1.30245i −0.0167230 0.0732685i
\(317\) 4.39910 + 19.2737i 0.247078 + 1.08252i 0.934416 + 0.356183i \(0.115922\pi\)
−0.687338 + 0.726338i \(0.741221\pi\)
\(318\) 0.544117 + 0.682301i 0.0305126 + 0.0382615i
\(319\) 8.81955 + 11.0594i 0.493800 + 0.619205i
\(320\) 4.42024 + 19.3663i 0.247099 + 1.08261i
\(321\) −1.36484 5.97975i −0.0761779 0.333757i
\(322\) −4.28377 + 12.7231i −0.238725 + 0.709028i
\(323\) −5.51245 + 24.1516i −0.306721 + 1.34383i
\(324\) −3.70490 −0.205828
\(325\) 0.0498402 0.00276464
\(326\) 6.63841 29.0848i 0.367668 1.61086i
\(327\) −21.1927 + 10.2059i −1.17196 + 0.564386i
\(328\) −9.63079 12.0766i −0.531772 0.666820i
\(329\) −14.9496 9.14861i −0.824196 0.504379i
\(330\) 8.15760 10.2293i 0.449061 0.563105i
\(331\) −2.74096 + 12.0089i −0.150657 + 0.660071i 0.842038 + 0.539418i \(0.181356\pi\)
−0.992695 + 0.120653i \(0.961501\pi\)
\(332\) 0.330298 0.414181i 0.0181275 0.0227311i
\(333\) −26.2515 + 12.6421i −1.43857 + 0.692781i
\(334\) −0.634598 0.795761i −0.0347237 0.0435421i
\(335\) 4.07123 + 1.96060i 0.222435 + 0.107119i
\(336\) −3.24174 26.0031i −0.176851 1.41859i
\(337\) −6.03436 + 2.90599i −0.328712 + 0.158299i −0.590959 0.806701i \(-0.701251\pi\)
0.262247 + 0.965001i \(0.415536\pi\)
\(338\) 1.16716 + 0.562075i 0.0634852 + 0.0305729i
\(339\) 4.98072 + 21.8220i 0.270516 + 1.18521i
\(340\) −2.01421 0.969992i −0.109236 0.0526052i
\(341\) −0.526081 + 0.659685i −0.0284889 + 0.0357240i
\(342\) −65.0989 −3.52015
\(343\) −6.73316 17.2530i −0.363556 0.931572i
\(344\) 22.3076 1.20275
\(345\) −16.7098 + 20.9535i −0.899627 + 1.12810i
\(346\) 13.7623 + 6.62757i 0.739866 + 0.356301i
\(347\) −1.52673 6.68906i −0.0819593 0.359087i 0.917273 0.398259i \(-0.130385\pi\)
−0.999233 + 0.0391713i \(0.987528\pi\)
\(348\) 8.46014 + 4.07419i 0.453511 + 0.218399i
\(349\) 14.6098 7.03569i 0.782043 0.376612i 0.000130086 1.00000i \(-0.499959\pi\)
0.781913 + 0.623388i \(0.214244\pi\)
\(350\) −0.0211327 0.169512i −0.00112959 0.00906081i
\(351\) −8.97345 4.32138i −0.478967 0.230658i
\(352\) −1.65814 2.07924i −0.0883790 0.110824i
\(353\) 28.3262 13.6412i 1.50765 0.726048i 0.516195 0.856471i \(-0.327348\pi\)
0.991458 + 0.130424i \(0.0416337\pi\)
\(354\) −25.8776 + 32.4495i −1.37538 + 1.72467i
\(355\) 7.40006 32.4218i 0.392755 1.72077i
\(356\) 0.457312 0.573451i 0.0242375 0.0303929i
\(357\) 21.2423 + 12.9995i 1.12426 + 0.688008i
\(358\) −10.6735 13.3842i −0.564114 0.707376i
\(359\) −0.0429888 + 0.0207023i −0.00226886 + 0.00109263i −0.435018 0.900422i \(-0.643258\pi\)
0.432749 + 0.901514i \(0.357544\pi\)
\(360\) 9.43183 41.3236i 0.497101 2.17794i
\(361\) 45.2136 2.37966
\(362\) 0.197473 0.0103789
\(363\) 5.97671 26.1857i 0.313696 1.37439i
\(364\) −0.271682 + 0.806912i −0.0142400 + 0.0422937i
\(365\) 8.34537 + 36.5634i 0.436816 + 1.91382i
\(366\) 8.22657 + 36.0429i 0.430009 + 1.88399i
\(367\) −10.7162 13.4377i −0.559381 0.701441i 0.419063 0.907957i \(-0.362359\pi\)
−0.978443 + 0.206516i \(0.933787\pi\)
\(368\) −7.94383 9.96125i −0.414101 0.519266i
\(369\) 7.16631 + 31.3977i 0.373063 + 1.63450i
\(370\) −3.00979 13.1868i −0.156472 0.685547i
\(371\) −0.550191 + 0.199855i −0.0285645 + 0.0103760i
\(372\) −0.124637 + 0.546068i −0.00646210 + 0.0283123i
\(373\) 18.6951 0.967996 0.483998 0.875069i \(-0.339184\pi\)
0.483998 + 0.875069i \(0.339184\pi\)
\(374\) −5.91140 −0.305671
\(375\) −7.53691 + 33.0213i −0.389204 + 1.70521i
\(376\) 17.9518 8.64514i 0.925795 0.445839i
\(377\) 5.97499 + 7.49240i 0.307728 + 0.385878i
\(378\) −10.8927 + 32.3520i −0.560260 + 1.66401i
\(379\) −10.3111 + 12.9298i −0.529648 + 0.664157i −0.972626 0.232375i \(-0.925350\pi\)
0.442979 + 0.896532i \(0.353922\pi\)
\(380\) −1.28949 + 5.64964i −0.0661496 + 0.289820i
\(381\) −32.2012 + 40.3790i −1.64972 + 2.06868i
\(382\) −21.7515 + 10.4750i −1.11291 + 0.535947i
\(383\) 5.71325 + 7.16419i 0.291934 + 0.366073i 0.906071 0.423126i \(-0.139067\pi\)
−0.614137 + 0.789199i \(0.710496\pi\)
\(384\) 21.5293 + 10.3680i 1.09866 + 0.529088i
\(385\) 4.75668 + 7.37511i 0.242423 + 0.375870i
\(386\) −32.1883 + 15.5011i −1.63834 + 0.788984i
\(387\) −41.9039 20.1799i −2.13010 1.02580i
\(388\) −0.213484 0.935334i −0.0108380 0.0474844i
\(389\) 8.01088 + 3.85784i 0.406168 + 0.195600i 0.625802 0.779982i \(-0.284772\pi\)
−0.219634 + 0.975582i \(0.570486\pi\)
\(390\) 5.52654 6.93006i 0.279847 0.350917i
\(391\) 12.1088 0.612367
\(392\) 20.6317 + 4.19823i 1.04206 + 0.212043i
\(393\) 15.2125 0.767368
\(394\) 2.22522 2.79033i 0.112105 0.140575i
\(395\) −8.40507 4.04767i −0.422905 0.203660i
\(396\) 0.662849 + 2.90413i 0.0333094 + 0.145938i
\(397\) 30.6783 + 14.7739i 1.53970 + 0.741481i 0.995254 0.0973142i \(-0.0310252\pi\)
0.544447 + 0.838795i \(0.316739\pi\)
\(398\) −2.65637 + 1.27924i −0.133152 + 0.0641225i
\(399\) 20.5988 61.1799i 1.03123 3.06282i
\(400\) 0.146067 + 0.0703419i 0.00730333 + 0.00351710i
\(401\) 12.0613 + 15.1244i 0.602313 + 0.755277i 0.985736 0.168296i \(-0.0538265\pi\)
−0.383424 + 0.923573i \(0.625255\pi\)
\(402\) 7.14615 3.44141i 0.356418 0.171642i
\(403\) −0.356405 + 0.446918i −0.0177538 + 0.0222626i
\(404\) −0.104252 + 0.456759i −0.00518674 + 0.0227246i
\(405\) −16.1305 + 20.2270i −0.801532 + 1.00509i
\(406\) 22.9491 23.4985i 1.13894 1.16621i
\(407\) 4.27606 + 5.36201i 0.211956 + 0.265785i
\(408\) −25.5083 + 12.2841i −1.26285 + 0.608156i
\(409\) −1.81727 + 7.96198i −0.0898582 + 0.393695i −0.999778 0.0210906i \(-0.993286\pi\)
0.909919 + 0.414785i \(0.136143\pi\)
\(410\) −14.9501 −0.738335
\(411\) 49.9611 2.46440
\(412\) −1.00624 + 4.40864i −0.0495741 + 0.217198i
\(413\) −15.0892 23.3954i −0.742489 1.15121i
\(414\) 7.08061 + 31.0222i 0.347993 + 1.52466i
\(415\) −0.823173 3.60656i −0.0404080 0.177039i
\(416\) −1.12334 1.40862i −0.0550763 0.0690635i
\(417\) −28.6137 35.8805i −1.40122 1.75707i
\(418\) 3.40969 + 14.9388i 0.166773 + 0.730681i
\(419\) −2.65091 11.6144i −0.129505 0.567400i −0.997490 0.0708090i \(-0.977442\pi\)
0.867984 0.496591i \(-0.165415\pi\)
\(420\) 4.96907 + 3.04090i 0.242466 + 0.148381i
\(421\) 7.72774 33.8574i 0.376627 1.65011i −0.331079 0.943603i \(-0.607413\pi\)
0.707706 0.706507i \(-0.249730\pi\)
\(422\) 9.38696 0.456950
\(423\) −41.5424 −2.01986
\(424\) 0.148080 0.648780i 0.00719139 0.0315075i
\(425\) −0.138819 + 0.0668519i −0.00673373 + 0.00324279i
\(426\) −36.3949 45.6377i −1.76334 2.21115i
\(427\) −24.6729 2.48482i −1.19401 0.120249i
\(428\) −0.404177 + 0.506822i −0.0195366 + 0.0244982i
\(429\) −1.00010 + 4.38173i −0.0482853 + 0.211552i
\(430\) 13.4615 16.8802i 0.649173 0.814038i
\(431\) −3.80900 + 1.83432i −0.183473 + 0.0883560i −0.523365 0.852108i \(-0.675324\pi\)
0.339892 + 0.940464i \(0.389609\pi\)
\(432\) −20.1995 25.3293i −0.971847 1.21866i
\(433\) 4.11559 + 1.98197i 0.197783 + 0.0952472i 0.530154 0.847902i \(-0.322134\pi\)
−0.332371 + 0.943149i \(0.607849\pi\)
\(434\) 1.67114 + 1.02268i 0.0802171 + 0.0490901i
\(435\) 59.0773 28.4501i 2.83254 1.36408i
\(436\) 2.23984 + 1.07865i 0.107269 + 0.0516581i
\(437\) −6.98432 30.6003i −0.334105 1.46381i
\(438\) 59.3104 + 28.5624i 2.83396 + 1.36476i
\(439\) −2.19344 + 2.75049i −0.104687 + 0.131274i −0.831415 0.555652i \(-0.812469\pi\)
0.726728 + 0.686926i \(0.241040\pi\)
\(440\) −9.97688 −0.475629
\(441\) −34.9580 26.5500i −1.66467 1.26429i
\(442\) −4.00480 −0.190489
\(443\) −2.78679 + 3.49453i −0.132404 + 0.166030i −0.843614 0.536950i \(-0.819576\pi\)
0.711209 + 0.702980i \(0.248148\pi\)
\(444\) 4.10181 + 1.97533i 0.194663 + 0.0937448i
\(445\) −1.13972 4.99343i −0.0540278 0.236711i
\(446\) −18.1351 8.73339i −0.858720 0.413538i
\(447\) 12.4466 5.99398i 0.588705 0.283506i
\(448\) −16.3407 + 16.7319i −0.772027 + 0.790510i
\(449\) 8.28450 + 3.98960i 0.390970 + 0.188281i 0.619033 0.785365i \(-0.287525\pi\)
−0.228063 + 0.973646i \(0.573239\pi\)
\(450\) −0.252447 0.316558i −0.0119005 0.0149227i
\(451\) 6.82974 3.28903i 0.321600 0.154874i
\(452\) 1.47497 1.84955i 0.0693766 0.0869955i
\(453\) −11.8053 + 51.7226i −0.554663 + 2.43014i
\(454\) 3.01372 3.77909i 0.141441 0.177361i
\(455\) 3.22251 + 4.99643i 0.151074 + 0.234236i
\(456\) 45.7566 + 57.3770i 2.14275 + 2.68692i
\(457\) −34.1803 + 16.4604i −1.59889 + 0.769983i −0.999535 0.0305028i \(-0.990289\pi\)
−0.599352 + 0.800486i \(0.704575\pi\)
\(458\) −2.24330 + 9.82852i −0.104822 + 0.459257i
\(459\) 30.7900 1.43715
\(460\) 2.83253 0.132067
\(461\) −6.01885 + 26.3703i −0.280326 + 1.22819i 0.617052 + 0.786923i \(0.288327\pi\)
−0.897377 + 0.441264i \(0.854530\pi\)
\(462\) 15.3268 + 1.54357i 0.713068 + 0.0718133i
\(463\) 3.06428 + 13.4255i 0.142409 + 0.623934i 0.994872 + 0.101146i \(0.0322510\pi\)
−0.852463 + 0.522788i \(0.824892\pi\)
\(464\) 6.93649 + 30.3907i 0.322018 + 1.41085i
\(465\) 2.43864 + 3.05795i 0.113089 + 0.141809i
\(466\) 22.1856 + 27.8199i 1.02773 + 1.28873i
\(467\) 0.291724 + 1.27812i 0.0134994 + 0.0591446i 0.981229 0.192846i \(-0.0617719\pi\)
−0.967730 + 0.251991i \(0.918915\pi\)
\(468\) 0.449061 + 1.96747i 0.0207579 + 0.0909462i
\(469\) 0.658159 + 5.27931i 0.0303909 + 0.243776i
\(470\) 4.29124 18.8011i 0.197940 0.867232i
\(471\) 5.63590 0.259689
\(472\) 31.6487 1.45675
\(473\) −2.43605 + 10.6730i −0.112010 + 0.490746i
\(474\) −14.7532 + 7.10479i −0.677639 + 0.326334i
\(475\) 0.249014 + 0.312253i 0.0114255 + 0.0143272i
\(476\) −0.325619 2.61190i −0.0149247 0.119716i
\(477\) −0.865060 + 1.08475i −0.0396084 + 0.0496674i
\(478\) 0.280442 1.22869i 0.0128271 0.0561992i
\(479\) 7.59992 9.52999i 0.347249 0.435436i −0.577281 0.816545i \(-0.695886\pi\)
0.924530 + 0.381109i \(0.124458\pi\)
\(480\) −11.1069 + 5.34882i −0.506960 + 0.244139i
\(481\) 2.89691 + 3.63261i 0.132088 + 0.165633i
\(482\) 10.5536 + 5.08235i 0.480704 + 0.231495i
\(483\) −31.3951 3.16181i −1.42853 0.143867i
\(484\) −2.55760 + 1.23168i −0.116255 + 0.0559853i
\(485\) −6.03597 2.90677i −0.274079 0.131990i
\(486\) 1.49184 + 6.53618i 0.0676712 + 0.296487i
\(487\) −0.813517 0.391769i −0.0368640 0.0177528i 0.415361 0.909657i \(-0.363655\pi\)
−0.452225 + 0.891904i \(0.649370\pi\)
\(488\) 17.5768 22.0406i 0.795663 0.997730i
\(489\) 70.1191 3.17090
\(490\) 15.6270 13.0787i 0.705958 0.590833i
\(491\) −13.8377 −0.624487 −0.312244 0.950002i \(-0.601081\pi\)
−0.312244 + 0.950002i \(0.601081\pi\)
\(492\) 3.13743 3.93422i 0.141446 0.177368i
\(493\) −26.6918 12.8541i −1.20214 0.578920i
\(494\) 2.30996 + 10.1206i 0.103930 + 0.455348i
\(495\) 18.7412 + 9.02528i 0.842353 + 0.405656i
\(496\) −1.67527 + 0.806768i −0.0752219 + 0.0362250i
\(497\) 36.8012 13.3679i 1.65076 0.599633i
\(498\) −5.85028 2.81734i −0.262157 0.126248i
\(499\) −15.2788 19.1590i −0.683972 0.857673i 0.311742 0.950167i \(-0.399088\pi\)
−0.995713 + 0.0924935i \(0.970516\pi\)
\(500\) 3.22525 1.55320i 0.144238 0.0694612i
\(501\) 1.49156 1.87036i 0.0666382 0.0835617i
\(502\) −7.08970 + 31.0620i −0.316429 + 1.38637i
\(503\) −23.4758 + 29.4377i −1.04673 + 1.31256i −0.0984498 + 0.995142i \(0.531388\pi\)
−0.948285 + 0.317421i \(0.897183\pi\)
\(504\) 46.9053 17.0382i 2.08933 0.758942i
\(505\) 2.03980 + 2.55782i 0.0907697 + 0.113822i
\(506\) 6.74807 3.24970i 0.299988 0.144467i
\(507\) −0.677540 + 2.96850i −0.0300906 + 0.131836i
\(508\) 5.45851 0.242182
\(509\) −39.8472 −1.76619 −0.883097 0.469190i \(-0.844546\pi\)
−0.883097 + 0.469190i \(0.844546\pi\)
\(510\) −6.09755 + 26.7151i −0.270004 + 1.18296i
\(511\) −30.8512 + 31.5898i −1.36478 + 1.39745i
\(512\) −5.65831 24.7907i −0.250064 1.09560i
\(513\) −17.7596 77.8100i −0.784107 3.43540i
\(514\) 15.9985 + 20.0615i 0.705666 + 0.884877i
\(515\) 19.6882 + 24.6882i 0.867564 + 1.08789i
\(516\) 1.61710 + 7.08497i 0.0711888 + 0.311898i
\(517\) 2.17586 + 9.53308i 0.0956944 + 0.419264i
\(518\) 11.1266 11.3930i 0.488875 0.500578i
\(519\) −7.98905 + 35.0023i −0.350680 + 1.53643i
\(520\) −6.75905 −0.296404
\(521\) 6.62590 0.290286 0.145143 0.989411i \(-0.453636\pi\)
0.145143 + 0.989411i \(0.453636\pi\)
\(522\) 17.3236 75.8998i 0.758235 3.32204i
\(523\) 17.8432 8.59281i 0.780227 0.375737i −0.000988364 1.00000i \(-0.500315\pi\)
0.781215 + 0.624262i \(0.214600\pi\)
\(524\) −1.00245 1.25703i −0.0437921 0.0549135i
\(525\) 0.377381 0.137082i 0.0164703 0.00598277i
\(526\) −2.56298 + 3.21387i −0.111751 + 0.140131i
\(527\) 0.393229 1.72285i 0.0171293 0.0750485i
\(528\) −9.11514 + 11.4300i −0.396686 + 0.497428i
\(529\) 6.89970 3.32272i 0.299987 0.144466i
\(530\) −0.401575 0.503559i −0.0174433 0.0218732i
\(531\) −59.4509 28.6300i −2.57995 1.24244i
\(532\) −6.41276 + 2.32941i −0.278028 + 0.100993i
\(533\) 4.62696 2.22822i 0.200416 0.0965151i
\(534\) −8.09996 3.90073i −0.350519 0.168801i
\(535\) 1.00729 + 4.41324i 0.0435491 + 0.190801i
\(536\) −5.44922 2.62421i −0.235370 0.113348i
\(537\) 25.0872 31.4583i 1.08259 1.35753i
\(538\) 13.7017 0.590724
\(539\) −4.26167 + 9.41273i −0.183563 + 0.405435i
\(540\) 7.20251 0.309947
\(541\) −21.0544 + 26.4014i −0.905200 + 1.13508i 0.0851328 + 0.996370i \(0.472869\pi\)
−0.990332 + 0.138715i \(0.955703\pi\)
\(542\) −24.4943 11.7958i −1.05212 0.506674i
\(543\) 0.103281 + 0.452504i 0.00443222 + 0.0194188i
\(544\) 5.01825 + 2.41666i 0.215156 + 0.103613i
\(545\) 15.6409 7.53225i 0.669981 0.322646i
\(546\) 10.3835 + 1.04572i 0.444372 + 0.0447528i
\(547\) −1.11718 0.538004i −0.0477670 0.0230034i 0.409848 0.912154i \(-0.365582\pi\)
−0.457615 + 0.889151i \(0.651296\pi\)
\(548\) −3.29225 4.12835i −0.140638 0.176354i
\(549\) −52.9556 + 25.5021i −2.26009 + 1.08840i
\(550\) −0.0594209 + 0.0745115i −0.00253372 + 0.00317718i
\(551\) −17.0880 + 74.8676i −0.727975 + 3.18947i
\(552\) 22.3656 28.0456i 0.951942 1.19370i
\(553\) −1.35877 10.8991i −0.0577807 0.463479i
\(554\) −13.0805 16.4024i −0.555738 0.696873i
\(555\) 28.6430 13.7937i 1.21583 0.585511i
\(556\) −1.07931 + 4.72878i −0.0457731 + 0.200545i
\(557\) −5.15236 −0.218312 −0.109156 0.994025i \(-0.534815\pi\)
−0.109156 + 0.994025i \(0.534815\pi\)
\(558\) 4.64381 0.196588
\(559\) −1.65035 + 7.23067i −0.0698025 + 0.305825i
\(560\) 2.39250 + 19.1911i 0.101102 + 0.810972i
\(561\) −3.09175 13.5458i −0.130534 0.571906i
\(562\) 2.34158 + 10.2592i 0.0987738 + 0.432756i
\(563\) −9.06304 11.3647i −0.381962 0.478965i 0.553270 0.833002i \(-0.313380\pi\)
−0.935231 + 0.354038i \(0.884808\pi\)
\(564\) 4.04707 + 5.07487i 0.170412 + 0.213690i
\(565\) −3.67593 16.1053i −0.154648 0.677555i
\(566\) 3.65573 + 16.0168i 0.153662 + 0.673237i
\(567\) −30.3067 3.05220i −1.27276 0.128180i
\(568\) −9.90475 + 43.3956i −0.415594 + 1.82084i
\(569\) −10.8316 −0.454083 −0.227041 0.973885i \(-0.572905\pi\)
−0.227041 + 0.973885i \(0.572905\pi\)
\(570\) 71.0293 2.97509
\(571\) 6.21861 27.2455i 0.260241 1.14019i −0.660750 0.750606i \(-0.729762\pi\)
0.920991 0.389584i \(-0.127381\pi\)
\(572\) 0.427971 0.206100i 0.0178944 0.00861747i
\(573\) −35.3796 44.3646i −1.47800 1.85336i
\(574\) −9.54031 14.7920i −0.398205 0.617407i
\(575\) 0.121716 0.152628i 0.00507593 0.00636501i
\(576\) −12.3352 + 54.0440i −0.513966 + 2.25183i
\(577\) 24.3956 30.5912i 1.01560 1.27353i 0.0541584 0.998532i \(-0.482752\pi\)
0.961446 0.274995i \(-0.0886762\pi\)
\(578\) −8.68720 + 4.18353i −0.361340 + 0.174012i
\(579\) −52.3553 65.6515i −2.17581 2.72838i
\(580\) −6.24385 3.00688i −0.259262 0.124854i
\(581\) 3.04311 3.11596i 0.126249 0.129272i
\(582\) −10.5948 + 5.10219i −0.439169 + 0.211493i
\(583\) 0.294236 + 0.141697i 0.0121860 + 0.00586848i
\(584\) −11.1700 48.9390i −0.462218 2.02511i
\(585\) 12.6966 + 6.11437i 0.524940 + 0.252798i
\(586\) −11.8932 + 14.9136i −0.491304 + 0.616076i
\(587\) 15.3226 0.632433 0.316216 0.948687i \(-0.397587\pi\)
0.316216 + 0.948687i \(0.397587\pi\)
\(588\) 0.162237 + 6.85703i 0.00669056 + 0.282779i
\(589\) −4.58066 −0.188743
\(590\) 19.0985 23.9487i 0.786271 0.985953i
\(591\) 7.55781 + 3.63965i 0.310887 + 0.149715i
\(592\) 3.36308 + 14.7346i 0.138222 + 0.605589i
\(593\) 1.17285 + 0.564813i 0.0481630 + 0.0231941i 0.457810 0.889050i \(-0.348634\pi\)
−0.409647 + 0.912244i \(0.634348\pi\)
\(594\) 17.1589 8.26329i 0.704038 0.339047i
\(595\) −15.6775 9.59406i −0.642713 0.393318i
\(596\) −1.31548 0.633500i −0.0538840 0.0259492i
\(597\) −4.32067 5.41795i −0.176833 0.221742i
\(598\) 4.57162 2.20158i 0.186948 0.0900292i
\(599\) 25.3295 31.7622i 1.03494 1.29777i 0.0813365 0.996687i \(-0.474081\pi\)
0.953599 0.301081i \(-0.0973474\pi\)
\(600\) −0.101569 + 0.445004i −0.00414655 + 0.0181672i
\(601\) 23.0932 28.9580i 0.941993 1.18122i −0.0412914 0.999147i \(-0.513147\pi\)
0.983285 0.182075i \(-0.0582814\pi\)
\(602\) 25.2921 + 2.54717i 1.03083 + 0.103815i
\(603\) 7.86224 + 9.85893i 0.320175 + 0.401487i
\(604\) 5.05183 2.43283i 0.205556 0.0989907i
\(605\) −4.41100 + 19.3259i −0.179333 + 0.785708i
\(606\) 5.74253 0.233275
\(607\) 24.7289 1.00372 0.501858 0.864950i \(-0.332650\pi\)
0.501858 + 0.864950i \(0.332650\pi\)
\(608\) 3.21267 14.0756i 0.130291 0.570842i
\(609\) 65.8489 + 40.2972i 2.66833 + 1.63293i
\(610\) −6.07146 26.6008i −0.245826 1.07704i
\(611\) 1.47409 + 6.45839i 0.0596351 + 0.261279i
\(612\) −3.88978 4.87763i −0.157235 0.197166i
\(613\) −11.5574 14.4925i −0.466799 0.585347i 0.491585 0.870829i \(-0.336418\pi\)
−0.958384 + 0.285482i \(0.907846\pi\)
\(614\) 3.15551 + 13.8252i 0.127346 + 0.557939i
\(615\) −7.81915 34.2579i −0.315298 1.38141i
\(616\) −6.36666 9.87136i −0.256520 0.397728i
\(617\) 7.16112 31.3749i 0.288296 1.26311i −0.598566 0.801073i \(-0.704263\pi\)
0.886862 0.462034i \(-0.152880\pi\)
\(618\) 55.4271 2.22960
\(619\) −21.2754 −0.855132 −0.427566 0.903984i \(-0.640629\pi\)
−0.427566 + 0.903984i \(0.640629\pi\)
\(620\) 0.0919856 0.403015i 0.00369423 0.0161855i
\(621\) −35.1479 + 16.9263i −1.41044 + 0.679230i
\(622\) −13.2793 16.6518i −0.532453 0.667675i
\(623\) 4.21331 4.31418i 0.168803 0.172844i
\(624\) −6.17525 + 7.74351i −0.247208 + 0.309989i
\(625\) 5.61792 24.6137i 0.224717 0.984549i
\(626\) 6.21822 7.79740i 0.248530 0.311647i
\(627\) −32.4486 + 15.6264i −1.29587 + 0.624060i
\(628\) −0.371385 0.465702i −0.0148199 0.0185835i
\(629\) −12.9412 6.23217i −0.516001 0.248493i
\(630\) 15.4122 45.7752i 0.614036 1.82373i
\(631\) −23.1678 + 11.1570i −0.922297 + 0.444155i −0.833891 0.551930i \(-0.813892\pi\)
−0.0884063 + 0.996084i \(0.528177\pi\)
\(632\) 11.2499 + 5.41768i 0.447498 + 0.215504i
\(633\) 4.90952 + 21.5100i 0.195136 + 0.854946i
\(634\) −23.0741 11.1119i −0.916388 0.441309i
\(635\) 23.7655 29.8010i 0.943105 1.18262i
\(636\) 0.216789 0.00859625
\(637\) −2.88716 + 6.37686i −0.114393 + 0.252660i
\(638\) −18.3247 −0.725483
\(639\) 57.8621 72.5568i 2.28899 2.87030i
\(640\) −15.8893 7.65189i −0.628080 0.302467i
\(641\) −9.58432 41.9916i −0.378558 1.65857i −0.701891 0.712285i \(-0.747661\pi\)
0.323333 0.946285i \(-0.395197\pi\)
\(642\) 7.15882 + 3.44751i 0.282536 + 0.136062i
\(643\) 20.8501 10.0409i 0.822248 0.395974i 0.0250457 0.999686i \(-0.492027\pi\)
0.797202 + 0.603713i \(0.206313\pi\)
\(644\) 1.80755 + 2.80257i 0.0712276 + 0.110437i
\(645\) 45.7213 + 22.0182i 1.80027 + 0.866967i
\(646\) −20.0089 25.0904i −0.787241 0.987170i
\(647\) 29.9455 14.4210i 1.17728 0.566947i 0.260161 0.965565i \(-0.416224\pi\)
0.917117 + 0.398618i \(0.130510\pi\)
\(648\) 21.5902 27.0733i 0.848143 1.06354i
\(649\) −3.45612 + 15.1423i −0.135665 + 0.594386i
\(650\) −0.0402560 + 0.0504794i −0.00157897 + 0.00197997i
\(651\) −1.46941 + 4.36425i −0.0575908 + 0.171048i
\(652\) −4.62059 5.79404i −0.180956 0.226912i
\(653\) 29.9859 14.4405i 1.17344 0.565099i 0.257447 0.966292i \(-0.417119\pi\)
0.915993 + 0.401193i \(0.131404\pi\)
\(654\) 6.78060 29.7078i 0.265143 1.16167i
\(655\) −11.2273 −0.438686
\(656\) 16.7050 0.652221
\(657\) −23.2887 + 102.035i −0.908580 + 3.98075i
\(658\) 21.3407 7.75194i 0.831947 0.302202i
\(659\) 9.63609 + 42.2185i 0.375369 + 1.64460i 0.711429 + 0.702758i \(0.248048\pi\)
−0.336061 + 0.941840i \(0.609095\pi\)
\(660\) −0.723233 3.16869i −0.0281518 0.123341i
\(661\) −19.8110 24.8422i −0.770559 0.966251i 0.229416 0.973329i \(-0.426318\pi\)
−0.999975 + 0.00707793i \(0.997747\pi\)
\(662\) −9.94907 12.4757i −0.386682 0.484883i
\(663\) −2.09457 9.17692i −0.0813465 0.356402i
\(664\) 1.10179 + 4.82726i 0.0427578 + 0.187334i
\(665\) −15.2026 + 45.1526i −0.589531 + 1.75094i
\(666\) 8.39918 36.7992i 0.325461 1.42594i
\(667\) 37.5360 1.45340
\(668\) −0.252839 −0.00978264
\(669\) 10.5275 46.1238i 0.407015 1.78325i
\(670\) −5.27408 + 2.53986i −0.203756 + 0.0981235i
\(671\) 8.62583 + 10.8165i 0.332997 + 0.417564i
\(672\) −12.3801 7.57616i −0.477571 0.292257i
\(673\) 15.6819 19.6645i 0.604492 0.758009i −0.381578 0.924336i \(-0.624619\pi\)
0.986071 + 0.166327i \(0.0531908\pi\)
\(674\) 1.93069 8.45891i 0.0743675 0.325825i
\(675\) 0.309499 0.388099i 0.0119126 0.0149379i
\(676\) 0.289938 0.139627i 0.0111515 0.00537026i
\(677\) 13.4459 + 16.8607i 0.516769 + 0.648008i 0.969919 0.243426i \(-0.0782714\pi\)
−0.453151 + 0.891434i \(0.649700\pi\)
\(678\) −26.1248 12.5810i −1.00332 0.483171i
\(679\) −0.975779 7.82706i −0.0374470 0.300375i
\(680\) 18.8259 9.06608i 0.721941 0.347668i
\(681\) 10.2359 + 4.92936i 0.392241 + 0.188894i
\(682\) −0.243229 1.06566i −0.00931372 0.0408061i
\(683\) −0.204094 0.0982864i −0.00780943 0.00376082i 0.429975 0.902841i \(-0.358522\pi\)
−0.437784 + 0.899080i \(0.644237\pi\)
\(684\) −10.0827 + 12.6433i −0.385523 + 0.483430i
\(685\) −36.8728 −1.40884
\(686\) 22.9126 + 7.11572i 0.874807 + 0.271679i
\(687\) −23.6951 −0.904025
\(688\) −15.0417 + 18.8617i −0.573458 + 0.719094i
\(689\) 0.199337 + 0.0959956i 0.00759413 + 0.00365714i
\(690\) −7.72564 33.8482i −0.294110 1.28858i
\(691\) 22.7271 + 10.9448i 0.864579 + 0.416359i 0.812968 0.582308i \(-0.197850\pi\)
0.0516106 + 0.998667i \(0.483565\pi\)
\(692\) 3.41874 1.64638i 0.129961 0.0625858i
\(693\) 3.02971 + 24.3024i 0.115089 + 0.923170i
\(694\) 8.00798 + 3.85644i 0.303979 + 0.146388i
\(695\) 21.1178 + 26.4809i 0.801045 + 1.00448i
\(696\) −79.0731 + 38.0796i −2.99726 + 1.44340i
\(697\) −9.89864 + 12.4125i −0.374938 + 0.470157i
\(698\) −4.67439 + 20.4799i −0.176928 + 0.775174i
\(699\) −52.1453 + 65.3881i −1.97232 + 2.47321i
\(700\) −0.0361953 0.0221503i −0.00136805 0.000837201i
\(701\) −26.4764 33.2004i −1.00000 1.25396i −0.967072 0.254504i \(-0.918088\pi\)
−0.0329297 0.999458i \(-0.510484\pi\)
\(702\) 11.6247 5.59814i 0.438744 0.211288i
\(703\) −8.28495 + 36.2987i −0.312473 + 1.36903i
\(704\) 13.0480 0.491766
\(705\) 45.3268 1.70710
\(706\) −9.06298 + 39.7075i −0.341090 + 1.49441i
\(707\) −1.22909 + 3.65047i −0.0462247 + 0.137290i
\(708\) 2.29425 + 10.0517i 0.0862230 + 0.377768i
\(709\) 5.56549 + 24.3840i 0.209016 + 0.915760i 0.965223 + 0.261428i \(0.0841933\pi\)
−0.756207 + 0.654333i \(0.772950\pi\)
\(710\) 26.8605 + 33.6821i 1.00806 + 1.26407i
\(711\) −16.2316 20.3538i −0.608732 0.763326i
\(712\) 1.52548 + 6.68355i 0.0571697 + 0.250477i
\(713\) 0.498225 + 2.18286i 0.0186587 + 0.0817489i
\(714\) −30.3236 + 11.0150i −1.13483 + 0.412225i
\(715\) 0.738106 3.23385i 0.0276036 0.120939i
\(716\) −4.25259 −0.158927
\(717\) 2.96220 0.110625
\(718\) 0.0137543 0.0602614i 0.000513304 0.00224893i
\(719\) 12.2523 5.90040i 0.456934 0.220048i −0.191235 0.981544i \(-0.561249\pi\)
0.648169 + 0.761497i \(0.275535\pi\)
\(720\) 28.5804 + 35.8387i 1.06513 + 1.33563i
\(721\) −11.8632 + 35.2345i −0.441809 + 1.31220i
\(722\) −36.5190 + 45.7934i −1.35910 + 1.70426i
\(723\) −6.12640 + 26.8415i −0.227843 + 0.998247i
\(724\) 0.0305852 0.0383526i 0.00113669 0.00142536i
\(725\) −0.430326 + 0.207234i −0.0159819 + 0.00769649i
\(726\) 21.6941 + 27.2036i 0.805144 + 1.00962i
\(727\) 6.31323 + 3.04029i 0.234145 + 0.112758i 0.547278 0.836951i \(-0.315664\pi\)
−0.313133 + 0.949709i \(0.601378\pi\)
\(728\) −4.31323 6.68756i −0.159859 0.247858i
\(729\) 16.9207 8.14859i 0.626694 0.301800i
\(730\) −43.7729 21.0799i −1.62011 0.780203i
\(731\) −5.10196 22.3532i −0.188703 0.826761i
\(732\) 8.27432 + 3.98470i 0.305828 + 0.147279i
\(733\) 19.3246 24.2323i 0.713770 0.895039i −0.284197 0.958766i \(-0.591727\pi\)
0.997967 + 0.0637266i \(0.0202986\pi\)
\(734\) 22.2655 0.821834
\(735\) 38.1426 + 28.9687i 1.40691 + 1.06853i
\(736\) −7.05702 −0.260125
\(737\) 1.85061 2.32060i 0.0681682 0.0854803i
\(738\) −37.5886 18.1017i −1.38365 0.666333i
\(739\) −11.2754 49.4010i −0.414774 1.81724i −0.560786 0.827961i \(-0.689501\pi\)
0.146012 0.989283i \(-0.453356\pi\)
\(740\) −3.02726 1.45785i −0.111284 0.0535917i
\(741\) −21.9830 + 10.5865i −0.807567 + 0.388904i
\(742\) 0.241971 0.718670i 0.00888305 0.0263832i
\(743\) 27.3369 + 13.1648i 1.00289 + 0.482969i 0.861920 0.507045i \(-0.169262\pi\)
0.140975 + 0.990013i \(0.454976\pi\)
\(744\) −3.26404 4.09297i −0.119665 0.150056i
\(745\) −9.18600 + 4.42374i −0.336549 + 0.162073i
\(746\) −15.1000 + 18.9349i −0.552852 + 0.693254i
\(747\) 2.29716 10.0645i 0.0840488 0.368242i
\(748\) −0.915576 + 1.14810i −0.0334768 + 0.0419785i
\(749\) −3.72377 + 3.81292i −0.136064 + 0.139321i
\(750\) −27.3573 34.3049i −0.998946 1.25264i
\(751\) 16.7307 8.05709i 0.610513 0.294007i −0.102965 0.994685i \(-0.532833\pi\)
0.713478 + 0.700678i \(0.247119\pi\)
\(752\) −4.79494 + 21.0080i −0.174854 + 0.766084i
\(753\) −74.8859 −2.72899
\(754\) −12.4145 −0.452109
\(755\) 8.71271 38.1729i 0.317088 1.38925i
\(756\) 4.59622 + 7.12633i 0.167163 + 0.259182i
\(757\) −1.30053 5.69799i −0.0472685 0.207097i 0.945779 0.324811i \(-0.105301\pi\)
−0.993048 + 0.117714i \(0.962443\pi\)
\(758\) −4.76726 20.8867i −0.173155 0.758641i
\(759\) 10.9760 + 13.7634i 0.398402 + 0.499580i
\(760\) −33.7698 42.3460i −1.22496 1.53605i
\(761\) −9.61268 42.1159i −0.348459 1.52670i −0.780679 0.624932i \(-0.785127\pi\)
0.432220 0.901768i \(-0.357730\pi\)
\(762\) −14.8879 65.2283i −0.539333 2.36297i
\(763\) 17.4337 + 10.6688i 0.631141 + 0.386236i
\(764\) −1.33452 + 5.84693i −0.0482813 + 0.211534i
\(765\) −43.5651 −1.57510
\(766\) −11.8707 −0.428904
\(767\) −2.34142 + 10.2584i −0.0845439 + 0.370411i
\(768\) 20.6096 9.92505i 0.743684 0.358140i
\(769\) −30.2479 37.9297i −1.09077 1.36778i −0.924271 0.381738i \(-0.875326\pi\)
−0.166497 0.986042i \(-0.553246\pi\)
\(770\) −11.3117 1.13920i −0.407644 0.0410540i
\(771\) −37.6031 + 47.1528i −1.35424 + 1.69817i
\(772\) −1.97485 + 8.65238i −0.0710764 + 0.311406i
\(773\) 0.204755 0.256754i 0.00736452 0.00923481i −0.778136 0.628096i \(-0.783834\pi\)
0.785500 + 0.618862i \(0.212406\pi\)
\(774\) 54.2845 26.1420i 1.95122 0.939656i