Properties

Label 637.2.w.b.92.1
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 92.1
Character \(\chi\) \(=\) 637.92
Dual form 637.2.w.b.547.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.68715 + 2.11563i) q^{2} +(-0.820369 - 0.395069i) q^{3} +(-1.18434 - 5.18892i) q^{4} +(-0.379531 - 0.182773i) q^{5} +(2.21991 - 1.06905i) q^{6} +(-1.63169 - 2.08269i) q^{7} +(8.09995 + 3.90073i) q^{8} +(-1.35354 - 1.69729i) q^{9} +O(q^{10})\) \(q+(-1.68715 + 2.11563i) q^{2} +(-0.820369 - 0.395069i) q^{3} +(-1.18434 - 5.18892i) q^{4} +(-0.379531 - 0.182773i) q^{5} +(2.21991 - 1.06905i) q^{6} +(-1.63169 - 2.08269i) q^{7} +(8.09995 + 3.90073i) q^{8} +(-1.35354 - 1.69729i) q^{9} +(1.02701 - 0.494580i) q^{10} +(0.396707 - 0.497454i) q^{11} +(-1.07839 + 4.72472i) q^{12} +(0.623490 - 0.781831i) q^{13} +(7.15910 + 0.0617819i) q^{14} +(0.239148 + 0.299882i) q^{15} +(-12.3278 + 5.93675i) q^{16} +(0.0268843 - 0.117788i) q^{17} +5.87447 q^{18} +1.65223 q^{19} +(-0.498899 + 2.18582i) q^{20} +(0.515779 + 2.35320i) q^{21} +(0.383122 + 1.67856i) q^{22} +(1.23304 + 5.40231i) q^{23} +(-5.10389 - 6.40008i) q^{24} +(-3.00681 - 3.77042i) q^{25} +(0.602139 + 2.63814i) q^{26} +(1.04770 + 4.59028i) q^{27} +(-8.87444 + 10.9333i) q^{28} +(-1.60341 + 7.02499i) q^{29} -1.03792 q^{30} -6.00338 q^{31} +(4.23791 - 18.5675i) q^{32} +(-0.521974 + 0.251370i) q^{33} +(0.203837 + 0.255604i) q^{34} +(0.238617 + 1.08867i) q^{35} +(-7.20405 + 9.03360i) q^{36} +(0.379513 - 1.66275i) q^{37} +(-2.78757 + 3.49550i) q^{38} +(-0.820369 + 0.395069i) q^{39} +(-2.36124 - 2.96090i) q^{40} +(-6.73965 - 3.24564i) q^{41} +(-5.84869 - 2.87902i) q^{42} +(-2.52712 + 1.21700i) q^{43} +(-3.05108 - 1.46933i) q^{44} +(0.203494 + 0.891565i) q^{45} +(-13.5096 - 6.50588i) q^{46} +(0.565426 - 0.709021i) q^{47} +12.4588 q^{48} +(-1.67519 + 6.79660i) q^{49} +13.0498 q^{50} +(-0.0685894 + 0.0860084i) q^{51} +(-4.79528 - 2.30929i) q^{52} +(0.445566 + 1.95215i) q^{53} +(-11.4789 - 5.52797i) q^{54} +(-0.241483 + 0.116292i) q^{55} +(-5.09257 - 23.2345i) q^{56} +(-1.35544 - 0.652744i) q^{57} +(-12.1570 - 15.2445i) q^{58} +(8.33680 - 4.01479i) q^{59} +(1.27283 - 1.59608i) q^{60} +(-3.06075 + 13.4100i) q^{61} +(10.1286 - 12.7009i) q^{62} +(-1.32637 + 5.58846i) q^{63} +(15.0696 + 18.8967i) q^{64} +(-0.379531 + 0.182773i) q^{65} +(0.348848 - 1.52840i) q^{66} +10.9897 q^{67} -0.643032 q^{68} +(1.12273 - 4.91902i) q^{69} +(-2.70581 - 1.33194i) q^{70} +(-1.25488 - 5.49800i) q^{71} +(-4.34297 - 19.0278i) q^{72} +(5.95832 + 7.47150i) q^{73} +(2.87747 + 3.60823i) q^{74} +(0.977118 + 4.28103i) q^{75} +(-1.95680 - 8.57328i) q^{76} +(-1.68334 - 0.0145270i) q^{77} +(0.548272 - 2.40213i) q^{78} -12.4358 q^{79} +5.76386 q^{80} +(-0.495248 + 2.16982i) q^{81} +(18.2374 - 8.78267i) q^{82} +(-1.41743 - 1.77740i) q^{83} +(11.5997 - 5.46332i) q^{84} +(-0.0317318 + 0.0397905i) q^{85} +(1.68893 - 7.39970i) q^{86} +(4.09074 - 5.12963i) q^{87} +(5.15374 - 2.48191i) q^{88} +(-1.90589 - 2.38991i) q^{89} +(-2.22954 - 1.07369i) q^{90} +(-2.64565 - 0.0228316i) q^{91} +(26.5718 - 12.7963i) q^{92} +(4.92499 + 2.37175i) q^{93} +(0.546063 + 2.39246i) q^{94} +(-0.627072 - 0.301982i) q^{95} +(-10.8121 + 13.5579i) q^{96} -14.2165 q^{97} +(-11.5527 - 15.0110i) q^{98} -1.38128 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.68715 + 2.11563i −1.19300 + 1.49597i −0.368955 + 0.929447i \(0.620284\pi\)
−0.824044 + 0.566526i \(0.808287\pi\)
\(3\) −0.820369 0.395069i −0.473640 0.228093i 0.181807 0.983334i \(-0.441805\pi\)
−0.655447 + 0.755241i \(0.727520\pi\)
\(4\) −1.18434 5.18892i −0.592169 2.59446i
\(5\) −0.379531 0.182773i −0.169731 0.0817384i 0.347089 0.937832i \(-0.387170\pi\)
−0.516820 + 0.856094i \(0.672884\pi\)
\(6\) 2.21991 1.06905i 0.906273 0.436438i
\(7\) −1.63169 2.08269i −0.616720 0.787183i
\(8\) 8.09995 + 3.90073i 2.86377 + 1.37912i
\(9\) −1.35354 1.69729i −0.451181 0.565764i
\(10\) 1.02701 0.494580i 0.324768 0.156400i
\(11\) 0.396707 0.497454i 0.119612 0.149988i −0.718421 0.695609i \(-0.755135\pi\)
0.838032 + 0.545621i \(0.183706\pi\)
\(12\) −1.07839 + 4.72472i −0.311303 + 1.36391i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) 7.15910 + 0.0617819i 1.91335 + 0.0165119i
\(15\) 0.239148 + 0.299882i 0.0617477 + 0.0774291i
\(16\) −12.3278 + 5.93675i −3.08195 + 1.48419i
\(17\) 0.0268843 0.117788i 0.00652041 0.0285678i −0.971563 0.236781i \(-0.923908\pi\)
0.978083 + 0.208213i \(0.0667648\pi\)
\(18\) 5.87447 1.38463
\(19\) 1.65223 0.379047 0.189524 0.981876i \(-0.439306\pi\)
0.189524 + 0.981876i \(0.439306\pi\)
\(20\) −0.498899 + 2.18582i −0.111557 + 0.488764i
\(21\) 0.515779 + 2.35320i 0.112552 + 0.513511i
\(22\) 0.383122 + 1.67856i 0.0816818 + 0.357871i
\(23\) 1.23304 + 5.40231i 0.257107 + 1.12646i 0.924328 + 0.381599i \(0.124627\pi\)
−0.667221 + 0.744860i \(0.732516\pi\)
\(24\) −5.10389 6.40008i −1.04183 1.30641i
\(25\) −3.00681 3.77042i −0.601362 0.754084i
\(26\) 0.602139 + 2.63814i 0.118089 + 0.517382i
\(27\) 1.04770 + 4.59028i 0.201630 + 0.883400i
\(28\) −8.87444 + 10.9333i −1.67711 + 2.06620i
\(29\) −1.60341 + 7.02499i −0.297745 + 1.30451i 0.575730 + 0.817640i \(0.304718\pi\)
−0.873476 + 0.486868i \(0.838139\pi\)
\(30\) −1.03792 −0.189497
\(31\) −6.00338 −1.07824 −0.539120 0.842229i \(-0.681243\pi\)
−0.539120 + 0.842229i \(0.681243\pi\)
\(32\) 4.23791 18.5675i 0.749163 3.28230i
\(33\) −0.521974 + 0.251370i −0.0908641 + 0.0437578i
\(34\) 0.203837 + 0.255604i 0.0349578 + 0.0438357i
\(35\) 0.238617 + 1.08867i 0.0403337 + 0.184019i
\(36\) −7.20405 + 9.03360i −1.20068 + 1.50560i
\(37\) 0.379513 1.66275i 0.0623915 0.273355i −0.934104 0.357001i \(-0.883799\pi\)
0.996496 + 0.0836458i \(0.0266564\pi\)
\(38\) −2.78757 + 3.49550i −0.452203 + 0.567044i
\(39\) −0.820369 + 0.395069i −0.131364 + 0.0632616i
\(40\) −2.36124 2.96090i −0.373344 0.468159i
\(41\) −6.73965 3.24564i −1.05256 0.506884i −0.174110 0.984726i \(-0.555705\pi\)
−0.878446 + 0.477842i \(0.841419\pi\)
\(42\) −5.84869 2.87902i −0.902473 0.444243i
\(43\) −2.52712 + 1.21700i −0.385382 + 0.185590i −0.616536 0.787327i \(-0.711464\pi\)
0.231153 + 0.972917i \(0.425750\pi\)
\(44\) −3.05108 1.46933i −0.459968 0.221509i
\(45\) 0.203494 + 0.891565i 0.0303351 + 0.132907i
\(46\) −13.5096 6.50588i −1.99188 0.959239i
\(47\) 0.565426 0.709021i 0.0824758 0.103421i −0.738882 0.673835i \(-0.764646\pi\)
0.821357 + 0.570414i \(0.193217\pi\)
\(48\) 12.4588 1.79827
\(49\) −1.67519 + 6.79660i −0.239313 + 0.970942i
\(50\) 13.0498 1.84551
\(51\) −0.0685894 + 0.0860084i −0.00960443 + 0.0120436i
\(52\) −4.79528 2.30929i −0.664986 0.320240i
\(53\) 0.445566 + 1.95215i 0.0612032 + 0.268149i 0.996266 0.0863323i \(-0.0275147\pi\)
−0.935063 + 0.354481i \(0.884658\pi\)
\(54\) −11.4789 5.52797i −1.56209 0.752262i
\(55\) −0.241483 + 0.116292i −0.0325616 + 0.0156809i
\(56\) −5.09257 23.2345i −0.680524 3.10484i
\(57\) −1.35544 0.652744i −0.179532 0.0864580i
\(58\) −12.1570 15.2445i −1.59630 2.00170i
\(59\) 8.33680 4.01479i 1.08536 0.522681i 0.196333 0.980537i \(-0.437097\pi\)
0.889026 + 0.457856i \(0.151382\pi\)
\(60\) 1.27283 1.59608i 0.164322 0.206053i
\(61\) −3.06075 + 13.4100i −0.391889 + 1.71698i 0.266094 + 0.963947i \(0.414267\pi\)
−0.657984 + 0.753032i \(0.728590\pi\)
\(62\) 10.1286 12.7009i 1.28634 1.61302i
\(63\) −1.32637 + 5.58846i −0.167107 + 0.704080i
\(64\) 15.0696 + 18.8967i 1.88371 + 2.36209i
\(65\) −0.379531 + 0.182773i −0.0470750 + 0.0226701i
\(66\) 0.348848 1.52840i 0.0429402 0.188133i
\(67\) 10.9897 1.34260 0.671302 0.741184i \(-0.265736\pi\)
0.671302 + 0.741184i \(0.265736\pi\)
\(68\) −0.643032 −0.0779791
\(69\) 1.12273 4.91902i 0.135161 0.592180i
\(70\) −2.70581 1.33194i −0.323406 0.159197i
\(71\) −1.25488 5.49800i −0.148927 0.652492i −0.993184 0.116554i \(-0.962815\pi\)
0.844257 0.535938i \(-0.180042\pi\)
\(72\) −4.34297 19.0278i −0.511824 2.24245i
\(73\) 5.95832 + 7.47150i 0.697369 + 0.874473i 0.996824 0.0796375i \(-0.0253763\pi\)
−0.299455 + 0.954110i \(0.596805\pi\)
\(74\) 2.87747 + 3.60823i 0.334499 + 0.419448i
\(75\) 0.977118 + 4.28103i 0.112828 + 0.494331i
\(76\) −1.95680 8.57328i −0.224460 0.983423i
\(77\) −1.68334 0.0145270i −0.191835 0.00165551i
\(78\) 0.548272 2.40213i 0.0620795 0.271988i
\(79\) −12.4358 −1.39914 −0.699569 0.714565i \(-0.746625\pi\)
−0.699569 + 0.714565i \(0.746625\pi\)
\(80\) 5.76386 0.644419
\(81\) −0.495248 + 2.16982i −0.0550276 + 0.241092i
\(82\) 18.2374 8.78267i 2.01398 0.969883i
\(83\) −1.41743 1.77740i −0.155583 0.195095i 0.697931 0.716165i \(-0.254104\pi\)
−0.853514 + 0.521070i \(0.825533\pi\)
\(84\) 11.5997 5.46332i 1.26563 0.596097i
\(85\) −0.0317318 + 0.0397905i −0.00344180 + 0.00431588i
\(86\) 1.68893 7.39970i 0.182122 0.797930i
\(87\) 4.09074 5.12963i 0.438573 0.549954i
\(88\) 5.15374 2.48191i 0.549390 0.264573i
\(89\) −1.90589 2.38991i −0.202024 0.253329i 0.670491 0.741918i \(-0.266083\pi\)
−0.872515 + 0.488588i \(0.837512\pi\)
\(90\) −2.22954 1.07369i −0.235015 0.113177i
\(91\) −2.64565 0.0228316i −0.277340 0.00239340i
\(92\) 26.5718 12.7963i 2.77030 1.33411i
\(93\) 4.92499 + 2.37175i 0.510697 + 0.245939i
\(94\) 0.546063 + 2.39246i 0.0563221 + 0.246763i
\(95\) −0.627072 0.301982i −0.0643362 0.0309827i
\(96\) −10.8121 + 13.5579i −1.10350 + 1.38375i
\(97\) −14.2165 −1.44347 −0.721733 0.692172i \(-0.756654\pi\)
−0.721733 + 0.692172i \(0.756654\pi\)
\(98\) −11.5527 15.0110i −1.16700 1.51634i
\(99\) −1.38128 −0.138824
\(100\) −16.0033 + 20.0676i −1.60033 + 2.00676i
\(101\) −14.2630 6.86868i −1.41922 0.683459i −0.442259 0.896887i \(-0.645823\pi\)
−0.976959 + 0.213428i \(0.931537\pi\)
\(102\) −0.0662406 0.290219i −0.00655879 0.0287359i
\(103\) 2.34160 + 1.12765i 0.230724 + 0.111111i 0.545674 0.837997i \(-0.316274\pi\)
−0.314950 + 0.949108i \(0.601988\pi\)
\(104\) 8.09995 3.90073i 0.794266 0.382498i
\(105\) 0.234346 0.987384i 0.0228699 0.0963588i
\(106\) −4.88176 2.35093i −0.474159 0.228343i
\(107\) 3.19360 + 4.00465i 0.308737 + 0.387144i 0.911858 0.410506i \(-0.134648\pi\)
−0.603121 + 0.797650i \(0.706076\pi\)
\(108\) 22.5778 10.8729i 2.17255 1.04624i
\(109\) −7.57791 + 9.50240i −0.725832 + 0.910165i −0.998652 0.0519005i \(-0.983472\pi\)
0.272820 + 0.962065i \(0.412044\pi\)
\(110\) 0.161389 0.707092i 0.0153878 0.0674186i
\(111\) −0.968243 + 1.21414i −0.0919015 + 0.115241i
\(112\) 32.4795 + 15.9880i 3.06903 + 1.51073i
\(113\) 8.24361 + 10.3372i 0.775494 + 0.972439i 0.999998 0.00203453i \(-0.000647610\pi\)
−0.224504 + 0.974473i \(0.572076\pi\)
\(114\) 3.66779 1.76632i 0.343520 0.165431i
\(115\) 0.519416 2.27571i 0.0484358 0.212211i
\(116\) 38.3511 3.56081
\(117\) −2.17092 −0.200701
\(118\) −5.57168 + 24.4111i −0.512915 + 2.24723i
\(119\) −0.289183 + 0.136201i −0.0265093 + 0.0124856i
\(120\) 0.767327 + 3.36188i 0.0700470 + 0.306896i
\(121\) 2.35765 + 10.3295i 0.214331 + 0.939047i
\(122\) −23.2066 29.1002i −2.10103 2.63461i
\(123\) 4.24674 + 5.32525i 0.382916 + 0.480161i
\(124\) 7.11003 + 31.1511i 0.638499 + 2.79745i
\(125\) 0.920731 + 4.03399i 0.0823527 + 0.360811i
\(126\) −9.58530 12.2347i −0.853926 1.08995i
\(127\) 0.970308 4.25119i 0.0861009 0.377233i −0.913458 0.406933i \(-0.866598\pi\)
0.999559 + 0.0297005i \(0.00945536\pi\)
\(128\) −27.3133 −2.41418
\(129\) 2.55397 0.224864
\(130\) 0.253650 1.11131i 0.0222465 0.0974685i
\(131\) 2.51496 1.21114i 0.219733 0.105818i −0.320779 0.947154i \(-0.603945\pi\)
0.540512 + 0.841336i \(0.318230\pi\)
\(132\) 1.92253 + 2.41078i 0.167335 + 0.209831i
\(133\) −2.69592 3.44108i −0.233766 0.298379i
\(134\) −18.5413 + 23.2500i −1.60172 + 2.00850i
\(135\) 0.441342 1.93365i 0.0379847 0.166422i
\(136\) 0.677221 0.849208i 0.0580712 0.0728190i
\(137\) −14.9627 + 7.20564i −1.27835 + 0.615619i −0.944965 0.327173i \(-0.893904\pi\)
−0.333382 + 0.942792i \(0.608190\pi\)
\(138\) 8.51258 + 10.6744i 0.724639 + 0.908668i
\(139\) −9.34291 4.49931i −0.792456 0.381627i −0.00655436 0.999979i \(-0.502086\pi\)
−0.785901 + 0.618352i \(0.787801\pi\)
\(140\) 5.36643 2.52752i 0.453547 0.213615i
\(141\) −0.743970 + 0.358277i −0.0626536 + 0.0301724i
\(142\) 13.7489 + 6.62111i 1.15378 + 0.555631i
\(143\) −0.141583 0.620315i −0.0118398 0.0518734i
\(144\) 26.7626 + 12.8882i 2.23022 + 1.07402i
\(145\) 1.89252 2.37314i 0.157165 0.197079i
\(146\) −25.8595 −2.14015
\(147\) 4.05940 4.91390i 0.334814 0.405291i
\(148\) −9.07737 −0.746155
\(149\) −5.01893 + 6.29354i −0.411167 + 0.515587i −0.943691 0.330828i \(-0.892672\pi\)
0.532524 + 0.846415i \(0.321243\pi\)
\(150\) −10.7056 5.15555i −0.874109 0.420949i
\(151\) 3.44511 + 15.0940i 0.280359 + 1.22833i 0.897334 + 0.441352i \(0.145501\pi\)
−0.616975 + 0.786983i \(0.711642\pi\)
\(152\) 13.3830 + 6.44490i 1.08550 + 0.522750i
\(153\) −0.236309 + 0.113801i −0.0191045 + 0.00920024i
\(154\) 2.87080 3.53682i 0.231335 0.285005i
\(155\) 2.27847 + 1.09725i 0.183011 + 0.0881335i
\(156\) 3.02157 + 3.78893i 0.241919 + 0.303357i
\(157\) 5.96908 2.87456i 0.476385 0.229415i −0.180254 0.983620i \(-0.557692\pi\)
0.656639 + 0.754205i \(0.271978\pi\)
\(158\) 20.9811 26.3095i 1.66917 2.09307i
\(159\) 0.405706 1.77751i 0.0321746 0.140966i
\(160\) −5.00205 + 6.27237i −0.395446 + 0.495874i
\(161\) 9.23939 11.3829i 0.728166 0.897100i
\(162\) −3.75497 4.70859i −0.295019 0.369942i
\(163\) 10.0430 4.83646i 0.786630 0.378821i 0.00295767 0.999996i \(-0.499059\pi\)
0.783672 + 0.621175i \(0.213344\pi\)
\(164\) −8.85937 + 38.8154i −0.691800 + 3.03098i
\(165\) 0.244049 0.0189992
\(166\) 6.15175 0.477468
\(167\) −3.12053 + 13.6720i −0.241474 + 1.05797i 0.698202 + 0.715901i \(0.253984\pi\)
−0.939676 + 0.342066i \(0.888873\pi\)
\(168\) −5.00142 + 21.0727i −0.385868 + 1.62580i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −0.0306452 0.134265i −0.00235038 0.0102977i
\(171\) −2.23636 2.80431i −0.171019 0.214451i
\(172\) 9.30786 + 11.6717i 0.709718 + 0.889958i
\(173\) 3.06697 + 13.4373i 0.233177 + 1.02162i 0.946986 + 0.321276i \(0.104112\pi\)
−0.713808 + 0.700341i \(0.753031\pi\)
\(174\) 3.95065 + 17.3089i 0.299498 + 1.31219i
\(175\) −2.94644 + 12.4144i −0.222730 + 0.938441i
\(176\) −1.93725 + 8.48766i −0.146026 + 0.639782i
\(177\) −8.42537 −0.633289
\(178\) 8.27167 0.619988
\(179\) −3.59278 + 15.7410i −0.268537 + 1.17654i 0.643178 + 0.765716i \(0.277615\pi\)
−0.911716 + 0.410822i \(0.865242\pi\)
\(180\) 4.38526 2.11183i 0.326858 0.157406i
\(181\) −15.6125 19.5774i −1.16047 1.45518i −0.866369 0.499404i \(-0.833552\pi\)
−0.294098 0.955775i \(-0.595019\pi\)
\(182\) 4.51193 5.55869i 0.334446 0.412038i
\(183\) 7.80883 9.79197i 0.577245 0.723843i
\(184\) −11.0854 + 48.5682i −0.817225 + 3.58049i
\(185\) −0.447943 + 0.561702i −0.0329334 + 0.0412972i
\(186\) −13.3269 + 6.41792i −0.977179 + 0.470585i
\(187\) −0.0479289 0.0601010i −0.00350491 0.00439502i
\(188\) −4.34871 2.09423i −0.317162 0.152737i
\(189\) 7.85061 9.67194i 0.571048 0.703530i
\(190\) 1.69685 0.817159i 0.123102 0.0592830i
\(191\) 24.4384 + 11.7689i 1.76830 + 0.851570i 0.967592 + 0.252520i \(0.0812594\pi\)
0.800712 + 0.599050i \(0.204455\pi\)
\(192\) −4.89716 21.4558i −0.353422 1.54844i
\(193\) −8.67291 4.17665i −0.624290 0.300642i 0.0948670 0.995490i \(-0.469757\pi\)
−0.719157 + 0.694848i \(0.755472\pi\)
\(194\) 23.9854 30.0768i 1.72205 2.15939i
\(195\) 0.383563 0.0274675
\(196\) 37.2510 + 0.642988i 2.66078 + 0.0459277i
\(197\) −5.57227 −0.397008 −0.198504 0.980100i \(-0.563608\pi\)
−0.198504 + 0.980100i \(0.563608\pi\)
\(198\) 2.33044 2.92228i 0.165617 0.207677i
\(199\) 10.1404 + 4.88334i 0.718831 + 0.346171i 0.757280 0.653090i \(-0.226528\pi\)
−0.0384497 + 0.999261i \(0.512242\pi\)
\(200\) −9.64762 42.2690i −0.682190 2.98887i
\(201\) −9.01559 4.34168i −0.635911 0.306238i
\(202\) 38.5954 18.5866i 2.71556 1.30775i
\(203\) 17.2471 8.12318i 1.21051 0.570136i
\(204\) 0.527523 + 0.254042i 0.0369340 + 0.0177865i
\(205\) 1.96469 + 2.46365i 0.137220 + 0.172068i
\(206\) −6.33633 + 3.05141i −0.441473 + 0.212602i
\(207\) 7.50031 9.40509i 0.521308 0.653699i
\(208\) −3.04471 + 13.3398i −0.211113 + 0.924946i
\(209\) 0.655450 0.821908i 0.0453384 0.0568526i
\(210\) 1.69356 + 2.16166i 0.116866 + 0.149169i
\(211\) −8.78373 11.0144i −0.604697 0.758266i 0.381405 0.924408i \(-0.375440\pi\)
−0.986102 + 0.166142i \(0.946869\pi\)
\(212\) 9.60187 4.62402i 0.659459 0.317579i
\(213\) −1.14262 + 5.00615i −0.0782911 + 0.343016i
\(214\) −13.8604 −0.947479
\(215\) 1.18155 0.0805814
\(216\) −9.41912 + 41.2679i −0.640890 + 2.80792i
\(217\) 9.79564 + 12.5032i 0.664971 + 0.848771i
\(218\) −7.31841 32.0640i −0.495665 2.17165i
\(219\) −1.93626 8.48333i −0.130841 0.573250i
\(220\) 0.889429 + 1.11531i 0.0599653 + 0.0751941i
\(221\) −0.0753282 0.0944586i −0.00506712 0.00635397i
\(222\) −0.935085 4.09688i −0.0627588 0.274964i
\(223\) −6.40506 28.0624i −0.428914 1.87920i −0.474533 0.880238i \(-0.657383\pi\)
0.0456181 0.998959i \(-0.485474\pi\)
\(224\) −45.5853 + 21.4701i −3.04579 + 1.43453i
\(225\) −2.32965 + 10.2069i −0.155310 + 0.680458i
\(226\) −35.7778 −2.37991
\(227\) 0.451421 0.0299618 0.0149809 0.999888i \(-0.495231\pi\)
0.0149809 + 0.999888i \(0.495231\pi\)
\(228\) −1.78174 + 7.80632i −0.117999 + 0.516986i
\(229\) 12.8742 6.19987i 0.850748 0.409699i 0.0428929 0.999080i \(-0.486343\pi\)
0.807855 + 0.589381i \(0.200628\pi\)
\(230\) 3.93821 + 4.93837i 0.259678 + 0.325626i
\(231\) 1.37522 + 0.676954i 0.0904831 + 0.0445403i
\(232\) −40.3901 + 50.6476i −2.65174 + 3.32518i
\(233\) −4.25224 + 18.6303i −0.278573 + 1.22051i 0.621025 + 0.783791i \(0.286717\pi\)
−0.899598 + 0.436719i \(0.856141\pi\)
\(234\) 3.66267 4.59285i 0.239436 0.300244i
\(235\) −0.344186 + 0.165751i −0.0224522 + 0.0108124i
\(236\) −30.7060 38.5041i −1.99879 2.50641i
\(237\) 10.2019 + 4.91300i 0.662688 + 0.319134i
\(238\) 0.199745 0.841595i 0.0129475 0.0545525i
\(239\) 6.81754 3.28315i 0.440990 0.212370i −0.200195 0.979756i \(-0.564157\pi\)
0.641185 + 0.767387i \(0.278443\pi\)
\(240\) −4.72849 2.27712i −0.305223 0.146987i
\(241\) −5.95410 26.0866i −0.383537 1.68039i −0.686298 0.727320i \(-0.740766\pi\)
0.302761 0.953066i \(-0.402092\pi\)
\(242\) −25.8311 12.4396i −1.66049 0.799648i
\(243\) 10.0703 12.6278i 0.646010 0.810071i
\(244\) 73.2086 4.68670
\(245\) 1.87802 2.27334i 0.119982 0.145238i
\(246\) −18.4311 −1.17513
\(247\) 1.03015 1.29176i 0.0655467 0.0821930i
\(248\) −48.6271 23.4176i −3.08782 1.48702i
\(249\) 0.460620 + 2.01811i 0.0291906 + 0.127892i
\(250\) −10.0878 4.85804i −0.638010 0.307249i
\(251\) −23.7863 + 11.4549i −1.50138 + 0.723025i −0.990613 0.136696i \(-0.956352\pi\)
−0.510764 + 0.859721i \(0.670637\pi\)
\(252\) 30.5689 + 0.263805i 1.92566 + 0.0166182i
\(253\) 3.17656 + 1.52975i 0.199708 + 0.0961745i
\(254\) 7.35688 + 9.22523i 0.461612 + 0.578843i
\(255\) 0.0417518 0.0201066i 0.00261460 0.00125912i
\(256\) 15.9424 19.9912i 0.996403 1.24945i
\(257\) 5.30496 23.2426i 0.330914 1.44983i −0.486449 0.873709i \(-0.661708\pi\)
0.817364 0.576122i \(-0.195435\pi\)
\(258\) −4.30894 + 5.40324i −0.268263 + 0.336391i
\(259\) −4.08225 + 1.92269i −0.253659 + 0.119470i
\(260\) 1.39788 + 1.75289i 0.0866931 + 0.108710i
\(261\) 14.0937 6.78718i 0.872380 0.420116i
\(262\) −1.68081 + 7.36409i −0.103841 + 0.454955i
\(263\) 2.24079 0.138173 0.0690866 0.997611i \(-0.477992\pi\)
0.0690866 + 0.997611i \(0.477992\pi\)
\(264\) −5.20849 −0.320560
\(265\) 0.187694 0.822340i 0.0115299 0.0505160i
\(266\) 11.8285 + 0.102078i 0.725250 + 0.00625880i
\(267\) 0.619352 + 2.71356i 0.0379037 + 0.166067i
\(268\) −13.0155 57.0246i −0.795047 3.48333i
\(269\) −12.7795 16.0250i −0.779180 0.977061i −0.999998 0.00174580i \(-0.999444\pi\)
0.220819 0.975315i \(-0.429127\pi\)
\(270\) 3.34626 + 4.19607i 0.203647 + 0.255365i
\(271\) −2.04404 8.95552i −0.124167 0.544009i −0.998298 0.0583198i \(-0.981426\pi\)
0.874131 0.485690i \(-0.161431\pi\)
\(272\) 0.367853 + 1.61167i 0.0223044 + 0.0977219i
\(273\) 2.16139 + 1.06394i 0.130813 + 0.0643929i
\(274\) 9.99990 43.8124i 0.604116 2.64681i
\(275\) −3.06843 −0.185034
\(276\) −26.8541 −1.61643
\(277\) −1.99026 + 8.71989i −0.119583 + 0.523928i 0.879282 + 0.476301i \(0.158023\pi\)
−0.998865 + 0.0476263i \(0.984834\pi\)
\(278\) 25.2818 12.1751i 1.51630 0.730212i
\(279\) 8.12584 + 10.1895i 0.486481 + 0.610028i
\(280\) −2.31383 + 9.74898i −0.138278 + 0.582613i
\(281\) 1.85874 2.33078i 0.110883 0.139043i −0.723293 0.690541i \(-0.757372\pi\)
0.834176 + 0.551498i \(0.185944\pi\)
\(282\) 0.497212 2.17843i 0.0296086 0.129724i
\(283\) 16.1278 20.2236i 0.958697 1.20217i −0.0206105 0.999788i \(-0.506561\pi\)
0.979307 0.202380i \(-0.0648676\pi\)
\(284\) −27.0425 + 13.0230i −1.60467 + 0.772771i
\(285\) 0.395127 + 0.495473i 0.0234053 + 0.0293493i
\(286\) 1.55123 + 0.747032i 0.0917260 + 0.0441729i
\(287\) 4.23733 + 19.3325i 0.250122 + 1.14116i
\(288\) −37.2506 + 17.9390i −2.19501 + 1.05706i
\(289\) 15.3033 + 7.36969i 0.900195 + 0.433511i
\(290\) 1.82771 + 8.00772i 0.107327 + 0.470230i
\(291\) 11.6628 + 5.61649i 0.683683 + 0.329244i
\(292\) 31.7124 39.7660i 1.85583 2.32713i
\(293\) 10.4552 0.610799 0.305400 0.952224i \(-0.401210\pi\)
0.305400 + 0.952224i \(0.401210\pi\)
\(294\) 3.54713 + 16.8787i 0.206873 + 0.984384i
\(295\) −3.89787 −0.226943
\(296\) 9.55999 11.9879i 0.555663 0.696780i
\(297\) 2.69908 + 1.29981i 0.156617 + 0.0754227i
\(298\) −4.84706 21.2363i −0.280782 1.23019i
\(299\) 4.99248 + 2.40425i 0.288723 + 0.139042i
\(300\) 21.0567 10.1404i 1.21571 0.585455i
\(301\) 6.65810 + 3.27745i 0.383766 + 0.188909i
\(302\) −37.7458 18.1774i −2.17202 1.04599i
\(303\) 8.98728 + 11.2697i 0.516306 + 0.647427i
\(304\) −20.3683 + 9.80887i −1.16820 + 0.562577i
\(305\) 3.61264 4.53010i 0.206859 0.259393i
\(306\) 0.157931 0.691942i 0.00902832 0.0395557i
\(307\) −0.647092 + 0.811427i −0.0369315 + 0.0463106i −0.799954 0.600061i \(-0.795143\pi\)
0.763023 + 0.646372i \(0.223714\pi\)
\(308\) 1.91827 + 8.75194i 0.109303 + 0.498688i
\(309\) −1.47547 1.85018i −0.0839366 0.105253i
\(310\) −6.16551 + 2.96915i −0.350177 + 0.168637i
\(311\) 2.93438 12.8564i 0.166393 0.729017i −0.821026 0.570891i \(-0.806598\pi\)
0.987419 0.158126i \(-0.0505451\pi\)
\(312\) −8.18600 −0.463441
\(313\) −15.6510 −0.884644 −0.442322 0.896856i \(-0.645845\pi\)
−0.442322 + 0.896856i \(0.645845\pi\)
\(314\) −3.98928 + 17.4782i −0.225128 + 0.986350i
\(315\) 1.52482 1.87857i 0.0859136 0.105845i
\(316\) 14.7282 + 64.5284i 0.828525 + 3.63001i
\(317\) −1.17015 5.12676i −0.0657221 0.287947i 0.931378 0.364055i \(-0.118608\pi\)
−0.997100 + 0.0761075i \(0.975751\pi\)
\(318\) 3.07607 + 3.85726i 0.172497 + 0.216305i
\(319\) 2.85853 + 3.58448i 0.160047 + 0.200692i
\(320\) −2.26559 9.92622i −0.126651 0.554893i
\(321\) −1.03782 4.54698i −0.0579253 0.253788i
\(322\) 8.49370 + 38.7518i 0.473336 + 2.15956i
\(323\) 0.0444190 0.194613i 0.00247154 0.0108285i
\(324\) 11.8456 0.658088
\(325\) −4.82255 −0.267507
\(326\) −6.71198 + 29.4071i −0.371742 + 1.62871i
\(327\) 9.97078 4.80167i 0.551385 0.265533i
\(328\) −41.9304 52.5791i −2.31522 2.90320i
\(329\) −2.39927 0.0207053i −0.132276 0.00114152i
\(330\) −0.411748 + 0.516316i −0.0226660 + 0.0284223i
\(331\) −4.75876 + 20.8495i −0.261565 + 1.14599i 0.657989 + 0.753028i \(0.271407\pi\)
−0.919554 + 0.392964i \(0.871450\pi\)
\(332\) −7.54408 + 9.45998i −0.414035 + 0.519184i
\(333\) −3.33586 + 1.60647i −0.182804 + 0.0880339i
\(334\) −23.6599 29.6686i −1.29461 1.62339i
\(335\) −4.17093 2.00861i −0.227882 0.109742i
\(336\) −20.3288 25.9477i −1.10903 1.41557i
\(337\) −4.48913 + 2.16185i −0.244539 + 0.117764i −0.552139 0.833752i \(-0.686188\pi\)
0.307601 + 0.951516i \(0.400474\pi\)
\(338\) 2.43801 + 1.17408i 0.132610 + 0.0638617i
\(339\) −2.67891 11.7371i −0.145499 0.637471i
\(340\) 0.244051 + 0.117529i 0.0132355 + 0.00637389i
\(341\) −2.38158 + 2.98641i −0.128970 + 0.161723i
\(342\) 9.70597 0.524839
\(343\) 16.8886 7.60101i 0.911898 0.410416i
\(344\) −25.2167 −1.35960
\(345\) −1.32517 + 1.66172i −0.0713450 + 0.0894638i
\(346\) −33.6027 16.1822i −1.80649 0.869961i
\(347\) −4.51424 19.7782i −0.242337 1.06175i −0.938883 0.344236i \(-0.888138\pi\)
0.696546 0.717512i \(-0.254719\pi\)
\(348\) −31.4620 15.1513i −1.68654 0.812196i
\(349\) −14.6182 + 7.03977i −0.782496 + 0.376830i −0.782087 0.623169i \(-0.785845\pi\)
−0.000409659 1.00000i \(0.500130\pi\)
\(350\) −21.2931 27.1786i −1.13817 1.45276i
\(351\) 4.24206 + 2.04287i 0.226424 + 0.109040i
\(352\) −7.55527 9.47401i −0.402697 0.504966i
\(353\) 8.28412 3.98942i 0.440919 0.212336i −0.200234 0.979748i \(-0.564170\pi\)
0.641154 + 0.767412i \(0.278456\pi\)
\(354\) 14.2149 17.8249i 0.755514 0.947384i
\(355\) −0.528616 + 2.31602i −0.0280560 + 0.122922i
\(356\) −10.1438 + 12.7199i −0.537621 + 0.674156i
\(357\) 0.291045 + 0.00251167i 0.0154037 + 0.000132932i
\(358\) −27.2405 34.1585i −1.43971 1.80533i
\(359\) −2.84105 + 1.36818i −0.149945 + 0.0722096i −0.507351 0.861739i \(-0.669375\pi\)
0.357407 + 0.933949i \(0.383661\pi\)
\(360\) −1.82947 + 8.01541i −0.0964213 + 0.422449i
\(361\) −16.2701 −0.856323
\(362\) 67.7592 3.56134
\(363\) 2.14673 9.40545i 0.112674 0.493658i
\(364\) 3.01487 + 13.7551i 0.158022 + 0.720964i
\(365\) −0.895784 3.92468i −0.0468875 0.205427i
\(366\) 7.54142 + 33.0411i 0.394196 + 1.72709i
\(367\) −4.86925 6.10584i −0.254173 0.318722i 0.638332 0.769762i \(-0.279625\pi\)
−0.892504 + 0.451039i \(0.851053\pi\)
\(368\) −47.2728 59.2783i −2.46427 3.09009i
\(369\) 3.61361 + 15.8323i 0.188117 + 0.824195i
\(370\) −0.432603 1.89536i −0.0224900 0.0985350i
\(371\) 3.33871 4.11328i 0.173337 0.213551i
\(372\) 6.47397 28.3643i 0.335660 1.47062i
\(373\) −20.8904 −1.08167 −0.540833 0.841130i \(-0.681891\pi\)
−0.540833 + 0.841130i \(0.681891\pi\)
\(374\) 0.208015 0.0107562
\(375\) 0.838363 3.67311i 0.0432929 0.189678i
\(376\) 7.34562 3.53747i 0.378822 0.182431i
\(377\) 4.49265 + 5.63360i 0.231383 + 0.290145i
\(378\) 7.21700 + 32.9270i 0.371203 + 1.69358i
\(379\) −15.8941 + 19.9306i −0.816424 + 1.02376i 0.182751 + 0.983159i \(0.441500\pi\)
−0.999175 + 0.0406046i \(0.987072\pi\)
\(380\) −0.824296 + 3.61148i −0.0422855 + 0.185265i
\(381\) −2.47552 + 3.10421i −0.126825 + 0.159033i
\(382\) −66.1301 + 31.8466i −3.38351 + 1.62941i
\(383\) 16.3812 + 20.5413i 0.837039 + 1.04961i 0.998035 + 0.0626586i \(0.0199579\pi\)
−0.160996 + 0.986955i \(0.551471\pi\)
\(384\) 22.4070 + 10.7906i 1.14345 + 0.550657i
\(385\) 0.636226 + 0.313183i 0.0324251 + 0.0159613i
\(386\) 23.4688 11.3020i 1.19453 0.575255i
\(387\) 5.48617 + 2.64200i 0.278878 + 0.134300i
\(388\) 16.8371 + 73.7682i 0.854775 + 3.74501i
\(389\) 32.8075 + 15.7992i 1.66340 + 0.801053i 0.998536 + 0.0540932i \(0.0172268\pi\)
0.664869 + 0.746960i \(0.268487\pi\)
\(390\) −0.647130 + 0.811476i −0.0327687 + 0.0410907i
\(391\) 0.669476 0.0338569
\(392\) −40.0807 + 48.5176i −2.02438 + 2.45051i
\(393\) −2.54168 −0.128211
\(394\) 9.40128 11.7888i 0.473629 0.593913i
\(395\) 4.71978 + 2.27292i 0.237478 + 0.114363i
\(396\) 1.63591 + 7.16737i 0.0822074 + 0.360174i
\(397\) −15.9431 7.67777i −0.800159 0.385336i −0.0113200 0.999936i \(-0.503603\pi\)
−0.788839 + 0.614599i \(0.789318\pi\)
\(398\) −27.4397 + 13.2142i −1.37543 + 0.662370i
\(399\) 0.852185 + 3.88803i 0.0426626 + 0.194645i
\(400\) 59.4514 + 28.6303i 2.97257 + 1.43151i
\(401\) −16.9221 21.2197i −0.845051 1.05966i −0.997452 0.0713417i \(-0.977272\pi\)
0.152401 0.988319i \(-0.451299\pi\)
\(402\) 24.3961 11.7485i 1.21676 0.585963i
\(403\) −3.74305 + 4.69363i −0.186454 + 0.233806i
\(404\) −18.7489 + 82.1442i −0.932791 + 4.08683i
\(405\) 0.584546 0.732998i 0.0290463 0.0364230i
\(406\) −11.9130 + 50.1935i −0.591231 + 2.49106i
\(407\) −0.676589 0.848416i −0.0335373 0.0420544i
\(408\) −0.891066 + 0.429115i −0.0441143 + 0.0212444i
\(409\) 1.67437 7.33588i 0.0827921 0.362736i −0.916513 0.400004i \(-0.869009\pi\)
0.999305 + 0.0372686i \(0.0118657\pi\)
\(410\) −8.52689 −0.421113
\(411\) 15.1216 0.745895
\(412\) 3.07806 13.4859i 0.151645 0.664401i
\(413\) −21.9646 10.8121i −1.08081 0.532028i
\(414\) 7.24346 + 31.7357i 0.355997 + 1.55972i
\(415\) 0.213099 + 0.933647i 0.0104606 + 0.0458309i
\(416\) −11.8744 14.8900i −0.582188 0.730041i
\(417\) 5.88710 + 7.38219i 0.288292 + 0.361507i
\(418\) 0.633004 + 2.77337i 0.0309613 + 0.135650i
\(419\) −2.32335 10.1792i −0.113503 0.497288i −0.999439 0.0334819i \(-0.989340\pi\)
0.885936 0.463807i \(-0.153517\pi\)
\(420\) −5.40100 0.0466098i −0.263542 0.00227433i
\(421\) 3.26706 14.3139i 0.159227 0.697618i −0.830780 0.556601i \(-0.812105\pi\)
0.990007 0.141018i \(-0.0450375\pi\)
\(422\) 38.1219 1.85575
\(423\) −1.96874 −0.0957236
\(424\) −4.00576 + 17.5504i −0.194537 + 0.852322i
\(425\) −0.524946 + 0.252801i −0.0254636 + 0.0122626i
\(426\) −8.66336 10.8635i −0.419741 0.526339i
\(427\) 32.9231 15.5064i 1.59326 0.750406i
\(428\) 16.9975 21.3142i 0.821605 1.03026i
\(429\) −0.128917 + 0.564822i −0.00622417 + 0.0272699i
\(430\) −1.99347 + 2.49973i −0.0961334 + 0.120548i
\(431\) 15.1093 7.27628i 0.727792 0.350486i −0.0330236 0.999455i \(-0.510514\pi\)
0.760815 + 0.648969i \(0.224799\pi\)
\(432\) −40.1672 50.3681i −1.93255 2.42334i
\(433\) 0.639303 + 0.307872i 0.0307229 + 0.0147954i 0.449182 0.893440i \(-0.351715\pi\)
−0.418459 + 0.908236i \(0.637430\pi\)
\(434\) −42.9788 0.370900i −2.06305 0.0178038i
\(435\) −2.49012 + 1.19918i −0.119392 + 0.0574962i
\(436\) 58.2820 + 28.0671i 2.79120 + 1.34417i
\(437\) 2.03727 + 8.92585i 0.0974557 + 0.426981i
\(438\) 21.2143 + 10.2163i 1.01366 + 0.488153i
\(439\) −9.63454 + 12.0813i −0.459831 + 0.576610i −0.956649 0.291245i \(-0.905931\pi\)
0.496817 + 0.867855i \(0.334502\pi\)
\(440\) −2.40963 −0.114875
\(441\) 13.8032 6.35620i 0.657298 0.302676i
\(442\) 0.326929 0.0155504
\(443\) 4.91089 6.15806i 0.233324 0.292578i −0.651362 0.758767i \(-0.725802\pi\)
0.884685 + 0.466189i \(0.154373\pi\)
\(444\) 7.44679 + 3.58618i 0.353409 + 0.170193i
\(445\) 0.286534 + 1.25539i 0.0135830 + 0.0595111i
\(446\) 70.1758 + 33.7949i 3.32292 + 1.60024i
\(447\) 6.60375 3.18020i 0.312347 0.150418i
\(448\) 14.7671 62.2190i 0.697680 2.93957i
\(449\) −17.2751 8.31925i −0.815263 0.392610i −0.0206953 0.999786i \(-0.506588\pi\)
−0.794567 + 0.607176i \(0.792302\pi\)
\(450\) −17.6634 22.1492i −0.832662 1.04412i
\(451\) −4.28822 + 2.06510i −0.201924 + 0.0972417i
\(452\) 43.8755 55.0181i 2.06373 2.58784i
\(453\) 3.13692 13.7437i 0.147385 0.645737i
\(454\) −0.761617 + 0.955037i −0.0357444 + 0.0448221i
\(455\) 0.999935 + 0.492218i 0.0468777 + 0.0230755i
\(456\) −8.43279 10.5744i −0.394902 0.495191i
\(457\) 13.0049 6.26281i 0.608342 0.292962i −0.104239 0.994552i \(-0.533241\pi\)
0.712581 + 0.701590i \(0.247526\pi\)
\(458\) −8.60410 + 37.6970i −0.402043 + 1.76147i
\(459\) 0.568846 0.0265515
\(460\) −12.4236 −0.579255
\(461\) −7.59366 + 33.2700i −0.353672 + 1.54954i 0.414955 + 0.909842i \(0.363797\pi\)
−0.768627 + 0.639697i \(0.779060\pi\)
\(462\) −3.75240 + 1.76733i −0.174577 + 0.0822237i
\(463\) 4.08508 + 17.8979i 0.189850 + 0.831786i 0.976694 + 0.214635i \(0.0688562\pi\)
−0.786844 + 0.617151i \(0.788287\pi\)
\(464\) −21.9391 96.1217i −1.01850 4.46234i
\(465\) −1.43569 1.80030i −0.0665788 0.0834871i
\(466\) −32.2405 40.4283i −1.49351 1.87280i
\(467\) −5.17067 22.6542i −0.239270 1.04831i −0.941673 0.336530i \(-0.890747\pi\)
0.702403 0.711780i \(-0.252111\pi\)
\(468\) 2.57110 + 11.2647i 0.118849 + 0.520711i
\(469\) −17.9317 22.8881i −0.828010 1.05687i
\(470\) 0.230028 1.00782i 0.0106104 0.0464872i
\(471\) −6.03250 −0.277963
\(472\) 83.1883 3.82905
\(473\) −0.397125 + 1.73992i −0.0182598 + 0.0800015i
\(474\) −27.6063 + 13.2945i −1.26800 + 0.610637i
\(475\) −4.96794 6.22960i −0.227945 0.285834i
\(476\) 1.04923 + 1.33924i 0.0480913 + 0.0613838i
\(477\) 2.71028 3.39858i 0.124095 0.155610i
\(478\) −4.55632 + 19.9626i −0.208401 + 0.913066i
\(479\) 22.0685 27.6730i 1.00834 1.26441i 0.0441955 0.999023i \(-0.485928\pi\)
0.964141 0.265391i \(-0.0855010\pi\)
\(480\) 6.58154 3.16950i 0.300405 0.144667i
\(481\) −1.06337 1.33343i −0.0484856 0.0607990i
\(482\) 65.2350 + 31.4155i 2.97137 + 1.43094i
\(483\) −12.0767 + 5.68799i −0.549511 + 0.258813i
\(484\) 50.8068 24.4673i 2.30940 1.11215i
\(485\) 5.39560 + 2.59838i 0.245002 + 0.117987i
\(486\) 9.72545 + 42.6100i 0.441155 + 1.93283i
\(487\) −17.8745 8.60791i −0.809971 0.390061i −0.0174056 0.999849i \(-0.505541\pi\)
−0.792565 + 0.609787i \(0.791255\pi\)
\(488\) −77.1009 + 96.6815i −3.49019 + 4.37656i
\(489\) −10.1497 −0.458986
\(490\) 1.64103 + 7.80866i 0.0741340 + 0.352759i
\(491\) 1.52136 0.0686581 0.0343291 0.999411i \(-0.489071\pi\)
0.0343291 + 0.999411i \(0.489071\pi\)
\(492\) 22.6027 28.3429i 1.01901 1.27780i
\(493\) 0.784352 + 0.377724i 0.0353255 + 0.0170118i
\(494\) 0.994871 + 4.35881i 0.0447613 + 0.196112i
\(495\) 0.524240 + 0.252461i 0.0235629 + 0.0113473i
\(496\) 74.0084 35.6406i 3.32308 1.60031i
\(497\) −9.40305 + 11.5845i −0.421784 + 0.519638i
\(498\) −5.04670 2.43036i −0.226148 0.108907i
\(499\) −11.5309 14.4593i −0.516195 0.647288i 0.453601 0.891205i \(-0.350139\pi\)
−0.969796 + 0.243917i \(0.921568\pi\)
\(500\) 19.8416 9.55520i 0.887342 0.427321i
\(501\) 7.96135 9.98322i 0.355687 0.446017i
\(502\) 15.8969 69.6490i 0.709515 3.10859i
\(503\) −24.6083 + 30.8578i −1.09723 + 1.37588i −0.177134 + 0.984187i \(0.556683\pi\)
−0.920095 + 0.391695i \(0.871889\pi\)
\(504\) −32.5426 + 40.0924i −1.44956 + 1.78586i
\(505\) 4.15783 + 5.21376i 0.185021 + 0.232009i
\(506\) −8.59572 + 4.13948i −0.382126 + 0.184022i
\(507\) −0.202614 + 0.887711i −0.00899842 + 0.0394246i
\(508\) −23.2083 −1.02970
\(509\) −8.35643 −0.370392 −0.185196 0.982702i \(-0.559292\pi\)
−0.185196 + 0.982702i \(0.559292\pi\)
\(510\) −0.0279037 + 0.122254i −0.00123560 + 0.00541350i
\(511\) 5.83870 24.6005i 0.258289 1.08826i
\(512\) 3.24094 + 14.1995i 0.143231 + 0.627536i
\(513\) 1.73104 + 7.58419i 0.0764274 + 0.334850i
\(514\) 40.2223 + 50.4371i 1.77413 + 2.22469i
\(515\) −0.682604 0.855959i −0.0300791 0.0377180i
\(516\) −3.02476 13.2523i −0.133158 0.583401i
\(517\) −0.128398 0.562547i −0.00564692 0.0247408i
\(518\) 2.81970 11.8804i 0.123890 0.521994i
\(519\) 2.79260 12.2352i 0.122582 0.537065i
\(520\) −3.78713 −0.166077
\(521\) −37.0724 −1.62417 −0.812086 0.583538i \(-0.801668\pi\)
−0.812086 + 0.583538i \(0.801668\pi\)
\(522\) −9.41917 + 41.2681i −0.412266 + 1.80626i
\(523\) −11.1274 + 5.35869i −0.486568 + 0.234319i −0.661051 0.750341i \(-0.729889\pi\)
0.174482 + 0.984660i \(0.444175\pi\)
\(524\) −9.26307 11.6155i −0.404659 0.507426i
\(525\) 7.32171 9.02034i 0.319546 0.393680i
\(526\) −3.78057 + 4.74068i −0.164841 + 0.206703i
\(527\) −0.161397 + 0.707126i −0.00703056 + 0.0308029i
\(528\) 4.94247 6.19766i 0.215093 0.269719i
\(529\) −6.94225 + 3.34321i −0.301837 + 0.145357i
\(530\) 1.42310 + 1.78451i 0.0618153 + 0.0775139i
\(531\) −18.0985 8.71578i −0.785408 0.378232i
\(532\) −14.6626 + 18.0643i −0.635705 + 0.783187i
\(533\) −6.73965 + 3.24564i −0.291927 + 0.140584i
\(534\) −6.78582 3.26788i −0.293651 0.141415i
\(535\) −0.480131 2.10359i −0.0207579 0.0909461i
\(536\) 89.0159 + 42.8678i 3.84490 + 1.85161i
\(537\) 9.16619 11.4940i 0.395550 0.496004i
\(538\) 55.4639 2.39122
\(539\) 2.71644 + 3.52959i 0.117005 + 0.152030i
\(540\) −10.5562 −0.454268
\(541\) 24.7805 31.0738i 1.06540 1.33597i 0.126423 0.991976i \(-0.459650\pi\)
0.938974 0.343989i \(-0.111778\pi\)
\(542\) 22.3951 + 10.7849i 0.961954 + 0.463253i
\(543\) 5.07356 + 22.2287i 0.217727 + 0.953926i
\(544\) −2.07309 0.998349i −0.0888831 0.0428039i
\(545\) 4.61283 2.22142i 0.197592 0.0951552i
\(546\) −5.89751 + 2.77765i −0.252390 + 0.118873i
\(547\) −34.2329 16.4857i −1.46369 0.704877i −0.478781 0.877934i \(-0.658921\pi\)
−0.984912 + 0.173057i \(0.944635\pi\)
\(548\) 55.1103 + 69.1062i 2.35420 + 2.95207i
\(549\) 26.9036 12.9561i 1.14822 0.552952i
\(550\) 5.17692 6.49166i 0.220745 0.276805i
\(551\) −2.64920 + 11.6069i −0.112860 + 0.494470i
\(552\) 28.2819 35.4643i 1.20376 1.50946i
\(553\) 20.2913 + 25.8999i 0.862876 + 1.10138i
\(554\) −15.0902 18.9225i −0.641119 0.803938i
\(555\) 0.589389 0.283835i 0.0250182 0.0120481i
\(556\) −12.2814 + 53.8083i −0.520847 + 2.28198i
\(557\) −10.5463 −0.446862 −0.223431 0.974720i \(-0.571726\pi\)
−0.223431 + 0.974720i \(0.571726\pi\)
\(558\) −35.2667 −1.49296
\(559\) −0.624147 + 2.73457i −0.0263986 + 0.115660i
\(560\) −9.40481 12.0043i −0.397426 0.507275i
\(561\) 0.0155754 + 0.0682402i 0.000657593 + 0.00288110i
\(562\) 1.79509 + 7.86479i 0.0757212 + 0.331756i
\(563\) 25.8709 + 32.4411i 1.09033 + 1.36723i 0.924548 + 0.381065i \(0.124443\pi\)
0.165779 + 0.986163i \(0.446986\pi\)
\(564\) 2.74018 + 3.43608i 0.115382 + 0.144685i
\(565\) −1.23936 5.42998i −0.0521402 0.228441i
\(566\) 15.5755 + 68.2407i 0.654686 + 2.86837i
\(567\) 5.32716 2.50902i 0.223720 0.105369i
\(568\) 11.2817 49.4285i 0.473371 2.07397i
\(569\) −4.63582 −0.194344 −0.0971718 0.995268i \(-0.530980\pi\)
−0.0971718 + 0.995268i \(0.530980\pi\)
\(570\) −1.71488 −0.0718282
\(571\) −2.24829 + 9.85040i −0.0940880 + 0.412226i −0.999935 0.0113780i \(-0.996378\pi\)
0.905847 + 0.423604i \(0.139235\pi\)
\(572\) −3.05108 + 1.46933i −0.127572 + 0.0614356i
\(573\) −15.3990 19.3097i −0.643302 0.806675i
\(574\) −48.0493 23.6523i −2.00554 0.987227i
\(575\) 16.6615 20.8928i 0.694831 0.871290i
\(576\) 11.6758 51.1551i 0.486493 2.13146i
\(577\) −5.50779 + 6.90655i −0.229292 + 0.287523i −0.883147 0.469097i \(-0.844579\pi\)
0.653854 + 0.756620i \(0.273151\pi\)
\(578\) −41.4106 + 19.9423i −1.72245 + 0.829490i
\(579\) 5.46492 + 6.85279i 0.227114 + 0.284792i
\(580\) −14.5554 7.00953i −0.604381 0.291055i
\(581\) −1.38897 + 5.85224i −0.0576244 + 0.242792i
\(582\) −31.5593 + 15.1981i −1.30817 + 0.629983i
\(583\) 1.14787 + 0.552783i 0.0475398 + 0.0228939i
\(584\) 19.1178 + 83.7606i 0.791101 + 3.46604i
\(585\) 0.823930 + 0.396784i 0.0340653 + 0.0164050i
\(586\) −17.6395 + 22.1193i −0.728683 + 0.913740i
\(587\) −2.96740 −0.122478 −0.0612389 0.998123i \(-0.519505\pi\)
−0.0612389 + 0.998123i \(0.519505\pi\)
\(588\) −30.3055 15.2442i −1.24978 0.628660i
\(589\) −9.91896 −0.408703
\(590\) 6.57631 8.24643i 0.270742 0.339500i
\(591\) 4.57131 + 2.20143i 0.188039 + 0.0905546i
\(592\) 5.19281 + 22.7512i 0.213423 + 0.935067i
\(593\) −14.8686 7.16035i −0.610581 0.294040i 0.102925 0.994689i \(-0.467180\pi\)
−0.713506 + 0.700649i \(0.752894\pi\)
\(594\) −7.30369 + 3.51727i −0.299674 + 0.144315i
\(595\) 0.134648 + 0.00116199i 0.00552001 + 4.76369e-5i
\(596\) 38.6008 + 18.5891i 1.58115 + 0.761441i
\(597\) −6.38957 8.01227i −0.261508 0.327920i
\(598\) −13.5096 + 6.50588i −0.552448 + 0.266045i
\(599\) −1.60907 + 2.01771i −0.0657447 + 0.0824412i −0.813616 0.581402i \(-0.802504\pi\)
0.747872 + 0.663843i \(0.231076\pi\)
\(600\) −8.78455 + 38.4876i −0.358628 + 1.57125i
\(601\) −13.2256 + 16.5844i −0.539485 + 0.676493i −0.974618 0.223873i \(-0.928130\pi\)
0.435133 + 0.900366i \(0.356701\pi\)
\(602\) −18.1671 + 8.55647i −0.740436 + 0.348736i
\(603\) −14.8750 18.6527i −0.605757 0.759596i
\(604\) 74.2415 35.7528i 3.02085 1.45476i
\(605\) 0.993153 4.35129i 0.0403774 0.176905i
\(606\) −39.0054 −1.58449
\(607\) −20.1481 −0.817787 −0.408893 0.912582i \(-0.634085\pi\)
−0.408893 + 0.912582i \(0.634085\pi\)
\(608\) 7.00199 30.6777i 0.283968 1.24415i
\(609\) −17.3582 0.149799i −0.703391 0.00607015i
\(610\) 3.48892 + 15.2860i 0.141262 + 0.618911i
\(611\) −0.201798 0.884135i −0.00816388 0.0357683i
\(612\) 0.870372 + 1.09141i 0.0351827 + 0.0441177i
\(613\) −9.68497 12.1446i −0.391172 0.490514i 0.546781 0.837275i \(-0.315853\pi\)
−0.937954 + 0.346761i \(0.887281\pi\)
\(614\) −0.624932 2.73801i −0.0252202 0.110497i
\(615\) −0.638462 2.79729i −0.0257453 0.112797i
\(616\) −13.5783 6.68394i −0.547087 0.269304i
\(617\) −6.83336 + 29.9389i −0.275101 + 1.20529i 0.628805 + 0.777563i \(0.283544\pi\)
−0.903906 + 0.427732i \(0.859313\pi\)
\(618\) 6.40364 0.257592
\(619\) 24.9197 1.00161 0.500803 0.865561i \(-0.333038\pi\)
0.500803 + 0.865561i \(0.333038\pi\)
\(620\) 2.99508 13.1223i 0.120285 0.527005i
\(621\) −23.5062 + 11.3200i −0.943273 + 0.454256i
\(622\) 22.2485 + 27.8987i 0.892083 + 1.11864i
\(623\) −1.86762 + 7.86895i −0.0748247 + 0.315263i
\(624\) 7.76791 9.74065i 0.310965 0.389938i
\(625\) −4.97774 + 21.8089i −0.199109 + 0.872355i
\(626\) 26.4056 33.1116i 1.05538 1.32340i
\(627\) −0.862421 + 0.415320i −0.0344418 + 0.0165863i
\(628\) −21.9853 27.5687i −0.877308 1.10011i
\(629\) −0.185649 0.0894040i −0.00740233 0.00356477i
\(630\) 1.40175 + 6.39538i 0.0558471 + 0.254798i
\(631\) 27.8534 13.4135i 1.10883 0.533983i 0.212404 0.977182i \(-0.431871\pi\)
0.896423 + 0.443199i \(0.146156\pi\)
\(632\) −100.729 48.5087i −4.00680 1.92957i
\(633\) 2.85443 + 12.5061i 0.113453 + 0.497072i
\(634\) 12.8205 + 6.17403i 0.509168 + 0.245202i
\(635\) −1.14526 + 1.43612i −0.0454484 + 0.0569905i
\(636\) −9.70387 −0.384784
\(637\) 4.26933 + 5.54733i 0.169157 + 0.219793i
\(638\) −12.4062 −0.491166
\(639\) −7.63316 + 9.57168i −0.301963 + 0.378650i
\(640\) 10.3662 + 4.99212i 0.409762 + 0.197331i
\(641\) −1.97877 8.66958i −0.0781569 0.342428i 0.920698 0.390277i \(-0.127621\pi\)
−0.998855 + 0.0478488i \(0.984763\pi\)
\(642\) 11.3707 + 5.47582i 0.448764 + 0.216113i
\(643\) 28.8095 13.8739i 1.13613 0.547133i 0.231293 0.972884i \(-0.425704\pi\)
0.904840 + 0.425751i \(0.139990\pi\)
\(644\) −70.0076 34.4613i −2.75869 1.35796i
\(645\) −0.969310 0.466795i −0.0381666 0.0183800i
\(646\) 0.336785 + 0.422316i 0.0132506 + 0.0166158i
\(647\) −36.2315 + 17.4482i −1.42441 + 0.685958i −0.977949 0.208846i \(-0.933029\pi\)
−0.446459 + 0.894804i \(0.647315\pi\)
\(648\) −12.4754 + 15.6436i −0.490079 + 0.614540i
\(649\) 1.31009 5.73987i 0.0514255 0.225310i
\(650\) 8.13639 10.2027i 0.319135 0.400183i
\(651\) −3.09642 14.1272i −0.121358 0.553687i
\(652\) −36.9903 46.3844i −1.44865 1.81655i
\(653\) −37.8749 + 18.2396i −1.48216 + 0.713771i −0.987835 0.155506i \(-0.950299\pi\)
−0.494326 + 0.869277i \(0.664585\pi\)
\(654\) −6.66370 + 29.1956i −0.260571 + 1.14164i
\(655\) −1.17587 −0.0459450
\(656\) 102.354 3.99624
\(657\) 4.61645 20.2260i 0.180105 0.789092i
\(658\) 4.09174 5.04102i 0.159513 0.196520i
\(659\) −4.19574 18.3827i −0.163443 0.716090i −0.988523 0.151073i \(-0.951727\pi\)
0.825080 0.565016i \(-0.191130\pi\)
\(660\) −0.289036 1.26635i −0.0112507 0.0492926i
\(661\) −11.7702 14.7594i −0.457808 0.574072i 0.498331 0.866987i \(-0.333946\pi\)
−0.956139 + 0.292914i \(0.905375\pi\)
\(662\) −36.0809 45.2441i −1.40233 1.75846i
\(663\) 0.0244793 + 0.107251i 0.000950696 + 0.00416527i
\(664\) −4.54796 19.9259i −0.176495 0.773275i
\(665\) 0.394251 + 1.79874i 0.0152884 + 0.0697520i
\(666\) 2.22944 9.76780i 0.0863889 0.378495i
\(667\) −39.9282 −1.54603
\(668\) 74.6384 2.88785
\(669\) −5.83206 + 25.5519i −0.225481 + 0.987895i
\(670\) 11.2865 5.43528i 0.436034 0.209983i
\(671\) 5.45666 + 6.84243i 0.210652 + 0.264149i
\(672\) 45.8789 + 0.395928i 1.76982 + 0.0152732i
\(673\) 18.6683 23.4093i 0.719610 0.902362i −0.278706 0.960376i \(-0.589905\pi\)
0.998316 + 0.0580143i \(0.0184769\pi\)
\(674\) 3.00019 13.1447i 0.115563 0.506315i
\(675\) 14.1571 17.7524i 0.544905 0.683290i
\(676\) −4.79528 + 2.30929i −0.184434 + 0.0888187i
\(677\) 17.4207 + 21.8449i 0.669533 + 0.839568i 0.994344 0.106211i \(-0.0338719\pi\)
−0.324810 + 0.945779i \(0.605300\pi\)
\(678\) 29.3510 + 14.1347i 1.12722 + 0.542840i
\(679\) 23.1969 + 29.6085i 0.890214 + 1.13627i
\(680\) −0.412238 + 0.198523i −0.0158086 + 0.00761303i
\(681\) −0.370331 0.178342i −0.0141911 0.00683409i
\(682\) −2.30002 10.0771i −0.0880725 0.385871i
\(683\) −12.4051 5.97397i −0.474667 0.228588i 0.181226 0.983441i \(-0.441993\pi\)
−0.655893 + 0.754854i \(0.727708\pi\)
\(684\) −11.9027 + 14.9256i −0.455113 + 0.570693i
\(685\) 6.99579 0.267295
\(686\) −12.4128 + 48.5540i −0.473923 + 1.85380i
\(687\) −13.0109 −0.496398
\(688\) 23.9288 30.0058i 0.912277 1.14396i
\(689\) 1.80406 + 0.868790i 0.0687292 + 0.0330983i
\(690\) −1.27979 5.60715i −0.0487209 0.213460i
\(691\) 1.77218 + 0.853437i 0.0674169 + 0.0324663i 0.467288 0.884105i \(-0.345231\pi\)
−0.399871 + 0.916571i \(0.630945\pi\)
\(692\) 66.0926 31.8285i 2.51246 1.20994i
\(693\) 2.25382 + 2.87679i 0.0856157 + 0.109280i
\(694\) 49.4595 + 23.8184i 1.87746 + 0.904135i
\(695\) 2.72358 + 3.41526i 0.103311 + 0.129548i
\(696\) 53.1441 25.5928i 2.01442 0.970094i
\(697\) −0.563488 + 0.706592i −0.0213436 + 0.0267641i
\(698\) 9.76971 42.8039i 0.369789 1.62015i
\(699\) 10.8486 13.6038i 0.410333 0.514541i
\(700\) 67.9069 + 0.586026i 2.56664 + 0.0221497i
\(701\) −1.88991 2.36987i −0.0713810 0.0895089i 0.744859 0.667222i \(-0.232517\pi\)
−0.816240 + 0.577713i \(0.803945\pi\)
\(702\) −11.4789 + 5.52797i −0.433245 + 0.208640i
\(703\) 0.627042 2.74725i 0.0236493 0.103614i
\(704\) 15.3785 0.579599
\(705\) 0.347843 0.0131005
\(706\) −5.53647 + 24.2569i −0.208368 + 0.912919i
\(707\) 8.96736 + 40.9129i 0.337252 + 1.53869i
\(708\) 9.97848 + 43.7186i 0.375014 + 1.64304i
\(709\) −8.60465 37.6994i −0.323154 1.41583i −0.831905 0.554918i \(-0.812750\pi\)
0.508751 0.860914i \(-0.330108\pi\)
\(710\) −4.00797 5.02584i −0.150416 0.188616i
\(711\) 16.8324 + 21.1072i 0.631265 + 0.791581i
\(712\) −6.11521 26.7925i −0.229177 1.00409i
\(713\) −7.40242 32.4321i −0.277223 1.21459i
\(714\) −0.496352 + 0.611505i −0.0185755 + 0.0228850i
\(715\) −0.0596415 + 0.261306i −0.00223047 + 0.00977231i
\(716\) 85.9339 3.21150
\(717\) −6.88997 −0.257311
\(718\) 1.89874 8.31892i 0.0708603 0.310459i
\(719\) −5.27474 + 2.54018i −0.196715 + 0.0947328i −0.529648 0.848218i \(-0.677676\pi\)
0.332933 + 0.942950i \(0.391962\pi\)
\(720\) −7.80163 9.78294i −0.290750 0.364589i
\(721\) −1.47220 6.71679i −0.0548276 0.250146i
\(722\) 27.4502 34.4215i 1.02159 1.28104i
\(723\) −5.42145 + 23.7529i −0.201626 + 0.883380i
\(724\) −83.0953 + 104.198i −3.08821 + 3.87250i
\(725\) 31.3083 15.0773i 1.16276 0.559957i
\(726\) 16.2765 + 20.4101i 0.604079 + 0.757491i
\(727\) −18.6843 8.99790i −0.692963 0.333714i 0.0540354 0.998539i \(-0.482792\pi\)
−0.746999 + 0.664825i \(0.768506\pi\)
\(728\) −21.3406 10.5049i −0.790935 0.389338i
\(729\) −7.23453 + 3.48397i −0.267946 + 0.129036i
\(730\) 9.81449 + 4.72641i 0.363251 + 0.174932i
\(731\) 0.0754076 + 0.330382i 0.00278905 + 0.0122196i
\(732\) −60.0580 28.9224i −2.21981 1.06900i
\(733\) 15.6764 19.6576i 0.579022 0.726071i −0.402924 0.915234i \(-0.632006\pi\)
0.981946 + 0.189163i \(0.0605774\pi\)
\(734\) 21.1328 0.780028
\(735\) −2.43879 + 1.12303i −0.0899563 + 0.0414236i
\(736\) 105.533 3.88999
\(737\) 4.35968 5.46686i 0.160591 0.201375i
\(738\) −39.5919 19.0664i −1.45740 0.701845i
\(739\) −6.95157 30.4568i −0.255718 1.12037i −0.925778 0.378067i \(-0.876589\pi\)
0.670061 0.742306i \(-0.266268\pi\)
\(740\) 3.44514 + 1.65909i 0.126646 + 0.0609895i
\(741\) −1.35544 + 0.652744i −0.0497932 + 0.0239791i
\(742\) 3.06925 + 14.0032i 0.112676 + 0.514073i
\(743\) 23.6194 + 11.3745i 0.866511 + 0.417290i 0.813679 0.581314i \(-0.197461\pi\)
0.0528312 + 0.998603i \(0.483175\pi\)
\(744\) 30.6406 + 38.4221i 1.12334 + 1.40862i
\(745\) 3.05513 1.47127i 0.111931 0.0539032i
\(746\) 35.2454 44.1963i 1.29043 1.61814i
\(747\) −1.09821 + 4.81159i −0.0401815 + 0.176047i
\(748\) −0.255095 + 0.319879i −0.00932720 + 0.0116959i
\(749\) 3.12948 13.1856i 0.114349 0.481792i
\(750\) 6.35647 + 7.97076i 0.232106 + 0.291051i
\(751\) −46.3549 + 22.3234i −1.69152 + 0.814591i −0.696207 + 0.717841i \(0.745130\pi\)
−0.995309 + 0.0967496i \(0.969155\pi\)
\(752\) −2.76117 + 12.0975i −0.100689 + 0.441149i
\(753\) 24.0390 0.876029
\(754\) −19.4984 −0.710090
\(755\) 1.45125 6.35833i 0.0528163 0.231403i
\(756\) −59.4847 29.2814i −2.16344 1.06495i
\(757\) 12.1501 + 53.2330i 0.441603 + 1.93479i 0.341770 + 0.939783i \(0.388973\pi\)
0.0998323 + 0.995004i \(0.468169\pi\)
\(758\) −15.3498 67.2519i −0.557530 2.44270i
\(759\) −2.00159 2.50992i −0.0726532 0.0911042i
\(760\) −3.90130 4.89208i −0.141515 0.177454i
\(761\) −1.26954 5.56220i −0.0460206 0.201630i 0.946691 0.322143i \(-0.104403\pi\)
−0.992712 + 0.120513i \(0.961546\pi\)
\(762\) −2.39075 10.4746i −0.0866078 0.379453i
\(763\) 32.1553 + 0.277495i 1.16410 + 0.0100460i
\(764\) 32.1247 140.747i 1.16223 5.09207i
\(765\) 0.110486 0.00399464
\(766\) −71.0954 −2.56878
\(767\) 2.05902 9.02116i 0.0743469 0.325735i
\(768\) −20.9766 + 10.1018i −0.756927 + 0.364517i
\(769\) −0.407437 0.510909i −0.0146925 0.0184239i 0.774431 0.632658i \(-0.218036\pi\)
−0.789123 + 0.614235i \(0.789465\pi\)
\(770\) −1.73599 + 0.817629i −0.0625607 + 0.0294653i
\(771\) −13.5344 + 16.9716i −0.487431 + 0.611219i
\(772\) −11.4007 + 49.9496i −0.410319 + 1.79773i
\(773\) 6.54754 8.21036i 0.235499 0.295306i −0.650013 0.759923i \(-0.725237\pi\)
0.885512 + 0.464617i \(0.153808\pi\)
\(774\) −14.8455 + 7.14921i −0.533610 + 0.256973i