Properties

Label 128.3.l.a.3.14
Level $128$
Weight $3$
Character 128.3
Analytic conductor $3.488$
Analytic rank $0$
Dimension $496$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 3.14
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.494075 - 1.93801i) q^{2} +(0.211016 - 0.173176i) q^{3} +(-3.51178 + 1.91505i) q^{4} +(7.43419 + 2.25514i) q^{5} +(-0.439875 - 0.323389i) q^{6} +(2.23153 + 11.2187i) q^{7} +(5.44647 + 5.85969i) q^{8} +(-1.74128 + 8.75398i) q^{9} +O(q^{10})\) \(q+(-0.494075 - 1.93801i) q^{2} +(0.211016 - 0.173176i) q^{3} +(-3.51178 + 1.91505i) q^{4} +(7.43419 + 2.25514i) q^{5} +(-0.439875 - 0.323389i) q^{6} +(2.23153 + 11.2187i) q^{7} +(5.44647 + 5.85969i) q^{8} +(-1.74128 + 8.75398i) q^{9} +(0.697434 - 15.5218i) q^{10} +(-2.14399 - 21.7683i) q^{11} +(-0.409401 + 1.01226i) q^{12} +(2.88076 + 9.49658i) q^{13} +(20.6394 - 9.86759i) q^{14} +(1.95927 - 0.811556i) q^{15} +(8.66519 - 13.4504i) q^{16} +(3.47754 - 8.39551i) q^{17} +(17.8256 - 0.950512i) q^{18} +(-1.26463 + 2.36595i) q^{19} +(-30.4259 + 6.31728i) q^{20} +(2.41369 + 1.98087i) q^{21} +(-41.1279 + 14.9102i) q^{22} +(0.199055 - 0.133005i) q^{23} +(2.16405 + 0.293290i) q^{24} +(29.3948 + 19.6410i) q^{25} +(16.9812 - 10.2750i) q^{26} +(2.30668 + 4.31549i) q^{27} +(-29.3209 - 35.1240i) q^{28} +(2.56354 - 26.0280i) q^{29} +(-2.54083 - 3.39612i) q^{30} +(-16.5391 - 16.5391i) q^{31} +(-30.3484 - 10.1477i) q^{32} +(-4.22217 - 4.22217i) q^{33} +(-17.9888 - 2.59149i) q^{34} +(-8.71000 + 88.4341i) q^{35} +(-10.6493 - 34.0767i) q^{36} +(24.9841 + 46.7419i) q^{37} +(5.21007 + 1.28191i) q^{38} +(2.25247 + 1.50505i) q^{39} +(27.2757 + 55.8446i) q^{40} +(2.87378 - 1.92020i) q^{41} +(2.64640 - 5.65647i) q^{42} +(-29.9204 - 24.5550i) q^{43} +(49.2165 + 72.3396i) q^{44} +(-32.6864 + 61.1520i) q^{45} +(-0.356113 - 0.320058i) q^{46} +(6.18328 - 14.9278i) q^{47} +(-0.500804 - 4.33886i) q^{48} +(-75.6085 + 31.3181i) q^{49} +(23.5412 - 66.6717i) q^{50} +(-0.720089 - 2.37381i) q^{51} +(-28.3030 - 27.8331i) q^{52} +(-2.58816 - 26.2780i) q^{53} +(7.22381 - 6.60255i) q^{54} +(33.1517 - 166.665i) q^{55} +(-53.5840 + 74.1781i) q^{56} +(0.142870 + 0.718257i) q^{57} +(-51.7092 + 7.89164i) q^{58} +(51.8807 + 15.7378i) q^{59} +(-5.32636 + 6.60210i) q^{60} +(64.3823 - 52.8372i) q^{61} +(-23.8814 + 40.2246i) q^{62} -102.094 q^{63} +(-4.67202 + 63.8292i) q^{64} +77.0959i q^{65} +(-6.09655 + 10.2687i) q^{66} +(-45.8107 - 55.8205i) q^{67} +(3.86546 + 36.1428i) q^{68} +(0.0189706 - 0.0625378i) q^{69} +(175.690 - 26.8130i) q^{70} +(-78.8597 + 15.6862i) q^{71} +(-60.7794 + 37.4749i) q^{72} +(-24.0720 - 4.78822i) q^{73} +(78.2424 - 71.5134i) q^{74} +(9.60414 - 0.945925i) q^{75} +(-0.0898145 - 10.7305i) q^{76} +(239.427 - 72.6293i) q^{77} +(1.80392 - 5.10892i) q^{78} +(-14.9986 - 36.2097i) q^{79} +(94.7513 - 80.4520i) q^{80} +(-72.9805 - 30.2295i) q^{81} +(-5.14124 - 4.62070i) q^{82} +(27.5504 + 14.7260i) q^{83} +(-12.2698 - 2.33403i) q^{84} +(44.7857 - 54.5715i) q^{85} +(-32.8050 + 70.1180i) q^{86} +(-3.96649 - 5.93627i) q^{87} +(115.878 - 131.123i) q^{88} +(-27.4963 + 41.1511i) q^{89} +(134.663 + 33.1330i) q^{90} +(-100.110 + 53.5101i) q^{91} +(-0.444329 + 0.848283i) q^{92} +(-6.35420 - 0.625834i) q^{93} +(-31.9852 - 4.60784i) q^{94} +(-14.7370 + 14.7370i) q^{95} +(-8.16134 + 3.11429i) q^{96} +(118.776 - 118.776i) q^{97} +(98.0510 + 131.057i) q^{98} +(194.293 + 19.1361i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.494075 1.93801i −0.247038 0.969006i
\(3\) 0.211016 0.173176i 0.0703386 0.0577254i −0.598567 0.801073i \(-0.704263\pi\)
0.668906 + 0.743347i \(0.266763\pi\)
\(4\) −3.51178 + 1.91505i −0.877945 + 0.478762i
\(5\) 7.43419 + 2.25514i 1.48684 + 0.451028i 0.926200 0.377033i \(-0.123056\pi\)
0.560639 + 0.828061i \(0.310556\pi\)
\(6\) −0.439875 0.323389i −0.0733126 0.0538982i
\(7\) 2.23153 + 11.2187i 0.318790 + 1.60267i 0.724909 + 0.688845i \(0.241882\pi\)
−0.406119 + 0.913820i \(0.633118\pi\)
\(8\) 5.44647 + 5.85969i 0.680808 + 0.732462i
\(9\) −1.74128 + 8.75398i −0.193475 + 0.972665i
\(10\) 0.697434 15.5218i 0.0697434 1.55218i
\(11\) −2.14399 21.7683i −0.194908 1.97894i −0.203971 0.978977i \(-0.565385\pi\)
0.00906259 0.999959i \(-0.497115\pi\)
\(12\) −0.409401 + 1.01226i −0.0341167 + 0.0843552i
\(13\) 2.88076 + 9.49658i 0.221597 + 0.730506i 0.995290 + 0.0969456i \(0.0309073\pi\)
−0.773693 + 0.633561i \(0.781593\pi\)
\(14\) 20.6394 9.86759i 1.47424 0.704828i
\(15\) 1.95927 0.811556i 0.130618 0.0541037i
\(16\) 8.66519 13.4504i 0.541575 0.840653i
\(17\) 3.47754 8.39551i 0.204561 0.493854i −0.787989 0.615689i \(-0.788878\pi\)
0.992550 + 0.121835i \(0.0388779\pi\)
\(18\) 17.8256 0.950512i 0.990313 0.0528062i
\(19\) −1.26463 + 2.36595i −0.0665594 + 0.124524i −0.913000 0.407959i \(-0.866241\pi\)
0.846441 + 0.532482i \(0.178741\pi\)
\(20\) −30.4259 + 6.31728i −1.52130 + 0.315864i
\(21\) 2.41369 + 1.98087i 0.114938 + 0.0943270i
\(22\) −41.1279 + 14.9102i −1.86945 + 0.677739i
\(23\) 0.199055 0.133005i 0.00865458 0.00578281i −0.551235 0.834350i \(-0.685843\pi\)
0.559890 + 0.828567i \(0.310843\pi\)
\(24\) 2.16405 + 0.293290i 0.0901688 + 0.0122204i
\(25\) 29.3948 + 19.6410i 1.17579 + 0.785640i
\(26\) 16.9812 10.2750i 0.653122 0.395191i
\(27\) 2.30668 + 4.31549i 0.0854326 + 0.159833i
\(28\) −29.3209 35.1240i −1.04717 1.25443i
\(29\) 2.56354 26.0280i 0.0883978 0.897518i −0.844062 0.536245i \(-0.819842\pi\)
0.932460 0.361273i \(-0.117658\pi\)
\(30\) −2.54083 3.39612i −0.0846944 0.113204i
\(31\) −16.5391 16.5391i −0.533520 0.533520i 0.388098 0.921618i \(-0.373132\pi\)
−0.921618 + 0.388098i \(0.873132\pi\)
\(32\) −30.3484 10.1477i −0.948387 0.317116i
\(33\) −4.22217 4.22217i −0.127945 0.127945i
\(34\) −17.9888 2.59149i −0.529081 0.0762203i
\(35\) −8.71000 + 88.4341i −0.248857 + 2.52669i
\(36\) −10.6493 34.0767i −0.295814 0.946574i
\(37\) 24.9841 + 46.7419i 0.675245 + 1.26329i 0.953095 + 0.302670i \(0.0978781\pi\)
−0.277850 + 0.960624i \(0.589622\pi\)
\(38\) 5.21007 + 1.28191i 0.137107 + 0.0337344i
\(39\) 2.25247 + 1.50505i 0.0577556 + 0.0385911i
\(40\) 27.2757 + 55.8446i 0.681891 + 1.39612i
\(41\) 2.87378 1.92020i 0.0700923 0.0468342i −0.520030 0.854148i \(-0.674079\pi\)
0.590123 + 0.807314i \(0.299079\pi\)
\(42\) 2.64640 5.65647i 0.0630095 0.134678i
\(43\) −29.9204 24.5550i −0.695822 0.571047i 0.218597 0.975815i \(-0.429852\pi\)
−0.914419 + 0.404769i \(0.867352\pi\)
\(44\) 49.2165 + 72.3396i 1.11856 + 1.64408i
\(45\) −32.6864 + 61.1520i −0.726365 + 1.35893i
\(46\) −0.356113 0.320058i −0.00774158 0.00695777i
\(47\) 6.18328 14.9278i 0.131559 0.317612i −0.844349 0.535794i \(-0.820013\pi\)
0.975908 + 0.218182i \(0.0700125\pi\)
\(48\) −0.500804 4.33886i −0.0104334 0.0903930i
\(49\) −75.6085 + 31.3181i −1.54303 + 0.639144i
\(50\) 23.5412 66.6717i 0.470825 1.33343i
\(51\) −0.720089 2.37381i −0.0141194 0.0465454i
\(52\) −28.3030 27.8331i −0.544288 0.535252i
\(53\) −2.58816 26.2780i −0.0488332 0.495812i −0.988229 0.152979i \(-0.951113\pi\)
0.939396 0.342833i \(-0.111387\pi\)
\(54\) 7.22381 6.60255i 0.133774 0.122269i
\(55\) 33.1517 166.665i 0.602758 3.03027i
\(56\) −53.5840 + 74.1781i −0.956856 + 1.32461i
\(57\) 0.142870 + 0.718257i 0.00250650 + 0.0126010i
\(58\) −51.7092 + 7.89164i −0.891538 + 0.136063i
\(59\) 51.8807 + 15.7378i 0.879334 + 0.266743i 0.697499 0.716586i \(-0.254296\pi\)
0.181835 + 0.983329i \(0.441796\pi\)
\(60\) −5.32636 + 6.60210i −0.0887726 + 0.110035i
\(61\) 64.3823 52.8372i 1.05545 0.866183i 0.0641648 0.997939i \(-0.479562\pi\)
0.991282 + 0.131756i \(0.0420617\pi\)
\(62\) −23.8814 + 40.2246i −0.385184 + 0.648783i
\(63\) −102.094 −1.62053
\(64\) −4.67202 + 63.8292i −0.0730004 + 0.997332i
\(65\) 77.0959i 1.18609i
\(66\) −6.09655 + 10.2687i −0.0923719 + 0.155586i
\(67\) −45.8107 55.8205i −0.683742 0.833142i 0.309293 0.950967i \(-0.399908\pi\)
−0.993034 + 0.117825i \(0.962408\pi\)
\(68\) 3.86546 + 36.1428i 0.0568450 + 0.531512i
\(69\) 0.0189706 0.0625378i 0.000274937 0.000906345i
\(70\) 175.690 26.8130i 2.50985 0.383043i
\(71\) −78.8597 + 15.6862i −1.11070 + 0.220932i −0.716153 0.697944i \(-0.754099\pi\)
−0.394547 + 0.918876i \(0.629099\pi\)
\(72\) −60.7794 + 37.4749i −0.844159 + 0.520485i
\(73\) −24.0720 4.78822i −0.329754 0.0655921i 0.0274371 0.999624i \(-0.491265\pi\)
−0.357191 + 0.934031i \(0.616265\pi\)
\(74\) 78.2424 71.5134i 1.05733 0.966398i
\(75\) 9.60414 0.945925i 0.128055 0.0126123i
\(76\) −0.0898145 10.7305i −0.00118177 0.141191i
\(77\) 239.427 72.6293i 3.10944 0.943238i
\(78\) 1.80392 5.10892i 0.0231272 0.0654990i
\(79\) −14.9986 36.2097i −0.189855 0.458351i 0.800076 0.599898i \(-0.204792\pi\)
−0.989932 + 0.141547i \(0.954792\pi\)
\(80\) 94.7513 80.4520i 1.18439 1.00565i
\(81\) −72.9805 30.2295i −0.900994 0.373204i
\(82\) −5.14124 4.62070i −0.0626980 0.0563501i
\(83\) 27.5504 + 14.7260i 0.331932 + 0.177421i 0.628940 0.777453i \(-0.283489\pi\)
−0.297008 + 0.954875i \(0.595989\pi\)
\(84\) −12.2698 2.33403i −0.146069 0.0277861i
\(85\) 44.7857 54.5715i 0.526891 0.642018i
\(86\) −32.8050 + 70.1180i −0.381453 + 0.815326i
\(87\) −3.96649 5.93627i −0.0455919 0.0682330i
\(88\) 115.878 131.123i 1.31680 1.49004i
\(89\) −27.4963 + 41.1511i −0.308947 + 0.462372i −0.953157 0.302477i \(-0.902186\pi\)
0.644210 + 0.764849i \(0.277186\pi\)
\(90\) 134.663 + 33.1330i 1.49625 + 0.368144i
\(91\) −100.110 + 53.5101i −1.10011 + 0.588023i
\(92\) −0.444329 + 0.848283i −0.00482966 + 0.00922047i
\(93\) −6.35420 0.625834i −0.0683247 0.00672940i
\(94\) −31.9852 4.60784i −0.340268 0.0490196i
\(95\) −14.7370 + 14.7370i −0.155127 + 0.155127i
\(96\) −8.16134 + 3.11429i −0.0850139 + 0.0324405i
\(97\) 118.776 118.776i 1.22449 1.22449i 0.258472 0.966019i \(-0.416781\pi\)
0.966019 0.258472i \(-0.0832189\pi\)
\(98\) 98.0510 + 131.057i 1.00052 + 1.33731i
\(99\) 194.293 + 19.1361i 1.96255 + 0.193294i
\(100\) −140.842 12.6824i −1.40842 0.126824i
\(101\) −82.0315 + 43.8467i −0.812193 + 0.434126i −0.824544 0.565798i \(-0.808568\pi\)
0.0123514 + 0.999924i \(0.496068\pi\)
\(102\) −4.24470 + 2.56838i −0.0416147 + 0.0251802i
\(103\) 58.0429 86.8674i 0.563524 0.843373i −0.434843 0.900506i \(-0.643196\pi\)
0.998367 + 0.0571335i \(0.0181961\pi\)
\(104\) −39.9571 + 68.6031i −0.384203 + 0.659646i
\(105\) 13.4767 + 20.1694i 0.128350 + 0.192089i
\(106\) −49.6484 + 17.9992i −0.468381 + 0.169804i
\(107\) −51.8538 + 63.1841i −0.484615 + 0.590505i −0.956710 0.291042i \(-0.905998\pi\)
0.472095 + 0.881548i \(0.343498\pi\)
\(108\) −16.3649 10.7377i −0.151527 0.0994228i
\(109\) −63.1184 33.7375i −0.579068 0.309518i 0.155735 0.987799i \(-0.450225\pi\)
−0.734803 + 0.678280i \(0.762725\pi\)
\(110\) −339.378 + 18.0965i −3.08525 + 0.164514i
\(111\) 13.3666 + 5.53664i 0.120420 + 0.0498796i
\(112\) 170.233 + 67.1968i 1.51993 + 0.599971i
\(113\) −27.7139 66.9073i −0.245256 0.592100i 0.752534 0.658554i \(-0.228832\pi\)
−0.997790 + 0.0664536i \(0.978832\pi\)
\(114\) 1.32140 0.631757i 0.0115913 0.00554173i
\(115\) 1.77976 0.539884i 0.0154762 0.00469465i
\(116\) 40.8423 + 96.3140i 0.352089 + 0.830293i
\(117\) −88.1491 + 8.68193i −0.753411 + 0.0742045i
\(118\) 4.86716 108.321i 0.0412471 0.917975i
\(119\) 101.947 + 20.2784i 0.856694 + 0.170407i
\(120\) 15.4266 + 7.06061i 0.128555 + 0.0588384i
\(121\) −350.587 + 69.7361i −2.89741 + 0.576331i
\(122\) −134.209 98.6681i −1.10007 0.808755i
\(123\) 0.273881 0.902864i 0.00222667 0.00734036i
\(124\) 89.7549 + 26.4086i 0.723830 + 0.212972i
\(125\) 51.0233 + 62.1720i 0.408186 + 0.497376i
\(126\) 50.4419 + 197.859i 0.400333 + 1.57031i
\(127\) 93.5646i 0.736729i 0.929681 + 0.368364i \(0.120082\pi\)
−0.929681 + 0.368364i \(0.879918\pi\)
\(128\) 126.010 22.4820i 0.984454 0.175641i
\(129\) −10.5660 −0.0819071
\(130\) 149.413 38.0912i 1.14933 0.293009i
\(131\) 59.1998 48.5840i 0.451907 0.370870i −0.380733 0.924685i \(-0.624328\pi\)
0.832640 + 0.553815i \(0.186828\pi\)
\(132\) 22.9130 + 6.74168i 0.173583 + 0.0510733i
\(133\) −29.3649 8.90774i −0.220788 0.0669755i
\(134\) −85.5469 + 116.361i −0.638409 + 0.868367i
\(135\) 7.41627 + 37.2841i 0.0549353 + 0.276179i
\(136\) 68.1354 25.3486i 0.500996 0.186387i
\(137\) 5.68002 28.5554i 0.0414600 0.208434i −0.954503 0.298203i \(-0.903613\pi\)
0.995963 + 0.0897690i \(0.0286129\pi\)
\(138\) −0.130572 0.00586694i −0.000946173 4.25141e-5i
\(139\) 13.9113 + 141.244i 0.100081 + 1.01614i 0.905761 + 0.423789i \(0.139300\pi\)
−0.805680 + 0.592352i \(0.798200\pi\)
\(140\) −138.768 327.241i −0.991199 2.33744i
\(141\) −1.28036 4.22079i −0.00908060 0.0299347i
\(142\) 69.3626 + 145.081i 0.488469 + 1.02170i
\(143\) 200.548 83.0697i 1.40243 0.580907i
\(144\) 102.656 + 99.2759i 0.712892 + 0.689416i
\(145\) 77.7546 187.716i 0.536239 1.29460i
\(146\) 2.61375 + 49.0176i 0.0179024 + 0.335737i
\(147\) −10.5310 + 19.7022i −0.0716398 + 0.134029i
\(148\) −177.251 116.302i −1.19765 0.785822i
\(149\) −116.452 95.5696i −0.781557 0.641407i 0.156583 0.987665i \(-0.449952\pi\)
−0.938139 + 0.346258i \(0.887452\pi\)
\(150\) −6.57838 18.1456i −0.0438558 0.120970i
\(151\) −48.6582 + 32.5124i −0.322240 + 0.215314i −0.706160 0.708053i \(-0.749574\pi\)
0.383920 + 0.923366i \(0.374574\pi\)
\(152\) −20.7515 + 5.47575i −0.136523 + 0.0360246i
\(153\) 67.4388 + 45.0612i 0.440777 + 0.294518i
\(154\) −259.051 428.127i −1.68215 2.78005i
\(155\) −85.6570 160.253i −0.552626 1.03389i
\(156\) −10.7924 0.971827i −0.0691821 0.00622966i
\(157\) −27.8991 + 283.264i −0.177701 + 1.80423i 0.331365 + 0.943503i \(0.392491\pi\)
−0.509066 + 0.860727i \(0.670009\pi\)
\(158\) −62.7645 + 46.9577i −0.397244 + 0.297201i
\(159\) −5.09688 5.09688i −0.0320558 0.0320558i
\(160\) −202.731 143.880i −1.26707 0.899249i
\(161\) 1.93633 + 1.93633i 0.0120269 + 0.0120269i
\(162\) −22.5273 + 156.373i −0.139058 + 0.965264i
\(163\) −19.4142 + 197.115i −0.119105 + 1.20930i 0.730886 + 0.682500i \(0.239107\pi\)
−0.849991 + 0.526797i \(0.823393\pi\)
\(164\) −6.41482 + 12.2468i −0.0391148 + 0.0746753i
\(165\) −21.8668 40.9100i −0.132526 0.247939i
\(166\) 14.9272 60.6687i 0.0899227 0.365474i
\(167\) −1.54227 1.03051i −0.00923516 0.00617074i 0.550944 0.834542i \(-0.314268\pi\)
−0.560179 + 0.828371i \(0.689268\pi\)
\(168\) 1.53882 + 24.9322i 0.00915967 + 0.148406i
\(169\) 58.6321 39.1767i 0.346935 0.231815i
\(170\) −127.888 59.8328i −0.752281 0.351958i
\(171\) −18.5094 15.1903i −0.108242 0.0888322i
\(172\) 152.098 + 28.9329i 0.884289 + 0.168214i
\(173\) 106.441 199.138i 0.615269 1.15109i −0.360598 0.932721i \(-0.617428\pi\)
0.975867 0.218365i \(-0.0700725\pi\)
\(174\) −9.54482 + 10.6201i −0.0548553 + 0.0610349i
\(175\) −154.750 + 373.600i −0.884287 + 2.13486i
\(176\) −311.371 159.789i −1.76916 0.907891i
\(177\) 13.6731 5.66357i 0.0772490 0.0319976i
\(178\) 93.3365 + 32.9564i 0.524362 + 0.185148i
\(179\) 52.8259 + 174.144i 0.295117 + 0.972870i 0.971643 + 0.236452i \(0.0759846\pi\)
−0.676526 + 0.736419i \(0.736515\pi\)
\(180\) −2.32140 277.348i −0.0128967 1.54082i
\(181\) 13.4102 + 136.156i 0.0740893 + 0.752241i 0.958416 + 0.285373i \(0.0921176\pi\)
−0.884327 + 0.466868i \(0.845382\pi\)
\(182\) 153.165 + 167.577i 0.841568 + 0.920753i
\(183\) 4.43554 22.2990i 0.0242379 0.121852i
\(184\) 1.86351 + 0.441999i 0.0101278 + 0.00240217i
\(185\) 80.3269 + 403.831i 0.434200 + 2.18287i
\(186\) 1.92658 + 12.6237i 0.0103579 + 0.0678695i
\(187\) −190.212 57.7001i −1.01718 0.308557i
\(188\) 6.87304 + 64.2643i 0.0365587 + 0.341831i
\(189\) −43.2666 + 35.5080i −0.228924 + 0.187873i
\(190\) 35.8418 + 21.2794i 0.188641 + 0.111997i
\(191\) −89.8217 −0.470271 −0.235135 0.971963i \(-0.575553\pi\)
−0.235135 + 0.971963i \(0.575553\pi\)
\(192\) 10.0678 + 14.2781i 0.0524367 + 0.0743650i
\(193\) 154.807i 0.802106i −0.916055 0.401053i \(-0.868644\pi\)
0.916055 0.401053i \(-0.131356\pi\)
\(194\) −288.873 171.504i −1.48903 0.884044i
\(195\) 13.3512 + 16.2685i 0.0684676 + 0.0834280i
\(196\) 205.545 254.776i 1.04870 1.29988i
\(197\) 83.6762 275.844i 0.424753 1.40022i −0.439988 0.898003i \(-0.645017\pi\)
0.864741 0.502218i \(-0.167483\pi\)
\(198\) −58.9090 385.996i −0.297520 1.94947i
\(199\) 247.026 49.1366i 1.24134 0.246917i 0.469612 0.882873i \(-0.344394\pi\)
0.771726 + 0.635955i \(0.219394\pi\)
\(200\) 45.0077 + 279.219i 0.225039 + 1.39609i
\(201\) −19.3336 3.84569i −0.0961869 0.0191328i
\(202\) 125.505 + 137.314i 0.621313 + 0.679774i
\(203\) 297.720 29.3229i 1.46660 0.144448i
\(204\) 7.07476 + 6.95731i 0.0346802 + 0.0341045i
\(205\) 25.6946 7.79437i 0.125339 0.0380213i
\(206\) −197.028 69.5689i −0.956445 0.337713i
\(207\) 0.817709 + 1.97413i 0.00395029 + 0.00953684i
\(208\) 152.696 + 43.5423i 0.734113 + 0.209338i
\(209\) 54.2141 + 22.4562i 0.259398 + 0.107446i
\(210\) 32.4299 36.0833i 0.154428 0.171825i
\(211\) 296.798 + 158.642i 1.40663 + 0.751858i 0.987729 0.156176i \(-0.0499167\pi\)
0.418897 + 0.908034i \(0.362417\pi\)
\(212\) 59.4127 + 87.3263i 0.280249 + 0.411916i
\(213\) −13.9242 + 16.9667i −0.0653717 + 0.0796557i
\(214\) 148.071 + 69.2757i 0.691921 + 0.323718i
\(215\) −167.059 250.021i −0.777018 1.16289i
\(216\) −12.7242 + 37.0206i −0.0589084 + 0.171392i
\(217\) 148.639 222.454i 0.684973 1.02513i
\(218\) −34.1984 + 138.993i −0.156874 + 0.637583i
\(219\) −5.90879 + 3.15831i −0.0269808 + 0.0144215i
\(220\) 202.749 + 648.777i 0.921588 + 2.94898i
\(221\) 89.7466 + 8.83927i 0.406093 + 0.0399967i
\(222\) 4.12595 28.6402i 0.0185854 0.129010i
\(223\) −17.1426 + 17.1426i −0.0768725 + 0.0768725i −0.744498 0.667625i \(-0.767311\pi\)
0.667625 + 0.744498i \(0.267311\pi\)
\(224\) 46.1205 363.113i 0.205895 1.62104i
\(225\) −223.121 + 223.121i −0.991651 + 0.991651i
\(226\) −115.974 + 86.7672i −0.513161 + 0.383926i
\(227\) 5.30755 + 0.522748i 0.0233813 + 0.00230285i 0.109701 0.993965i \(-0.465011\pi\)
−0.0863197 + 0.996267i \(0.527511\pi\)
\(228\) −1.87723 2.24876i −0.00823344 0.00986297i
\(229\) 77.8146 41.5927i 0.339802 0.181628i −0.292666 0.956215i \(-0.594542\pi\)
0.632467 + 0.774587i \(0.282042\pi\)
\(230\) −1.92564 3.18245i −0.00837234 0.0138368i
\(231\) 37.9452 56.7890i 0.164265 0.245840i
\(232\) 166.479 126.739i 0.717580 0.546290i
\(233\) 197.251 + 295.207i 0.846571 + 1.26698i 0.961830 + 0.273648i \(0.0882303\pi\)
−0.115259 + 0.993335i \(0.536770\pi\)
\(234\) 60.3779 + 166.544i 0.258025 + 0.711728i
\(235\) 79.6319 97.0317i 0.338859 0.412901i
\(236\) −212.332 + 44.0861i −0.899713 + 0.186806i
\(237\) −9.43561 5.04344i −0.0398127 0.0212803i
\(238\) −11.0694 207.593i −0.0465102 0.872239i
\(239\) 208.076 + 86.1877i 0.870609 + 0.360618i 0.772847 0.634592i \(-0.218832\pi\)
0.0977614 + 0.995210i \(0.468832\pi\)
\(240\) 6.06166 33.3853i 0.0252569 0.139106i
\(241\) −128.569 310.394i −0.533483 1.28794i −0.929203 0.369570i \(-0.879505\pi\)
0.395720 0.918371i \(-0.370495\pi\)
\(242\) 308.366 + 644.987i 1.27424 + 2.66523i
\(243\) −62.7784 + 19.0436i −0.258347 + 0.0783688i
\(244\) −124.911 + 308.847i −0.511929 + 1.26577i
\(245\) −632.715 + 62.3169i −2.58251 + 0.254355i
\(246\) −1.88508 0.0847017i −0.00766293 0.000344316i
\(247\) −26.1115 5.19391i −0.105715 0.0210280i
\(248\) 6.83443 186.994i 0.0275582 0.754008i
\(249\) 8.36376 1.66365i 0.0335894 0.00668134i
\(250\) 95.2808 129.601i 0.381123 0.518405i
\(251\) 70.7676 233.289i 0.281942 0.929440i −0.695551 0.718476i \(-0.744840\pi\)
0.977494 0.210964i \(-0.0676601\pi\)
\(252\) 358.530 195.514i 1.42274 0.775850i
\(253\) −3.32206 4.04794i −0.0131307 0.0159998i
\(254\) 181.329 46.2279i 0.713895 0.182000i
\(255\) 19.2713i 0.0755737i
\(256\) −105.829 233.101i −0.413394 0.910552i
\(257\) −446.329 −1.73669 −0.868344 0.495962i \(-0.834816\pi\)
−0.868344 + 0.495962i \(0.834816\pi\)
\(258\) 5.22041 + 20.4771i 0.0202341 + 0.0793685i
\(259\) −468.629 + 384.594i −1.80938 + 1.48492i
\(260\) −147.642 270.744i −0.567855 1.04132i
\(261\) 223.385 + 67.7631i 0.855882 + 0.259629i
\(262\) −123.405 90.7257i −0.471013 0.346281i
\(263\) 20.6453 + 103.791i 0.0784994 + 0.394643i 0.999981 + 0.00622025i \(0.00197998\pi\)
−0.921481 + 0.388423i \(0.873020\pi\)
\(264\) 1.74472 47.7365i 0.00660879 0.180820i
\(265\) 40.0197 201.193i 0.151018 0.759218i
\(266\) −2.75485 + 61.3106i −0.0103566 + 0.230491i
\(267\) 1.32424 + 13.4452i 0.00495970 + 0.0503567i
\(268\) 267.776 + 108.300i 0.999164 + 0.404103i
\(269\) −46.1985 152.296i −0.171741 0.566156i −0.999983 0.00578485i \(-0.998159\pi\)
0.828242 0.560371i \(-0.189341\pi\)
\(270\) 68.5928 32.7940i 0.254048 0.121459i
\(271\) −175.346 + 72.6309i −0.647035 + 0.268011i −0.681971 0.731379i \(-0.738877\pi\)
0.0349365 + 0.999390i \(0.488877\pi\)
\(272\) −82.7899 119.523i −0.304374 0.439423i
\(273\) −11.8582 + 28.6282i −0.0434366 + 0.104865i
\(274\) −58.1471 + 3.10056i −0.212216 + 0.0113159i
\(275\) 364.529 681.986i 1.32556 2.47995i
\(276\) 0.0531421 + 0.255949i 0.000192544 + 0.000927350i
\(277\) 64.4012 + 52.8527i 0.232495 + 0.190804i 0.743426 0.668818i \(-0.233199\pi\)
−0.510931 + 0.859622i \(0.670699\pi\)
\(278\) 266.859 96.7452i 0.959923 0.348004i
\(279\) 173.582 115.984i 0.622159 0.415713i
\(280\) −565.635 + 430.615i −2.02013 + 1.53791i
\(281\) −173.747 116.094i −0.618316 0.413145i 0.206581 0.978430i \(-0.433766\pi\)
−0.824896 + 0.565284i \(0.808766\pi\)
\(282\) −7.54735 + 4.56675i −0.0267637 + 0.0161941i
\(283\) −89.8859 168.165i −0.317618 0.594222i 0.671559 0.740952i \(-0.265625\pi\)
−0.989177 + 0.146730i \(0.953125\pi\)
\(284\) 246.898 206.106i 0.869359 0.725726i
\(285\) −0.557644 + 5.66186i −0.00195665 + 0.0198662i
\(286\) −260.076 347.622i −0.909356 1.21546i
\(287\) 27.9550 + 27.9550i 0.0974042 + 0.0974042i
\(288\) 141.678 247.999i 0.491937 0.861108i
\(289\) 145.962 + 145.962i 0.505060 + 0.505060i
\(290\) −402.213 57.9435i −1.38694 0.199805i
\(291\) 4.49443 45.6327i 0.0154448 0.156813i
\(292\) 93.7053 29.2839i 0.320909 0.100287i
\(293\) 151.722 + 283.852i 0.517822 + 0.968777i 0.995900 + 0.0904598i \(0.0288337\pi\)
−0.478078 + 0.878317i \(0.658666\pi\)
\(294\) 43.3862 + 10.6749i 0.147572 + 0.0363093i
\(295\) 350.200 + 233.996i 1.18712 + 0.793208i
\(296\) −137.818 + 400.977i −0.465603 + 1.35465i
\(297\) 88.9955 59.4649i 0.299648 0.200218i
\(298\) −127.679 + 272.904i −0.428453 + 0.915784i
\(299\) 1.83652 + 1.50719i 0.00614220 + 0.00504078i
\(300\) −31.9161 + 21.7142i −0.106387 + 0.0723808i
\(301\) 208.706 390.462i 0.693376 1.29721i
\(302\) 87.0502 + 78.2367i 0.288246 + 0.259062i
\(303\) −9.71673 + 23.4583i −0.0320684 + 0.0774200i
\(304\) 20.8649 + 37.5112i 0.0686344 + 0.123392i
\(305\) 597.785 247.611i 1.95995 0.811838i
\(306\) 54.0093 152.961i 0.176501 0.499872i
\(307\) −106.474 350.998i −0.346821 1.14332i −0.940836 0.338862i \(-0.889958\pi\)
0.594015 0.804454i \(-0.297542\pi\)
\(308\) −701.725 + 713.571i −2.27833 + 2.31679i
\(309\) −2.79539 28.3821i −0.00904657 0.0918514i
\(310\) −268.251 + 245.181i −0.865326 + 0.790907i
\(311\) −93.2484 + 468.791i −0.299834 + 1.50737i 0.477698 + 0.878524i \(0.341471\pi\)
−0.777532 + 0.628844i \(0.783529\pi\)
\(312\) 3.44885 + 21.3960i 0.0110540 + 0.0685769i
\(313\) 13.3957 + 67.3449i 0.0427978 + 0.215159i 0.996266 0.0863335i \(-0.0275151\pi\)
−0.953468 + 0.301493i \(0.902515\pi\)
\(314\) 562.753 85.8850i 1.79221 0.273519i
\(315\) −758.984 230.235i −2.40947 0.730905i
\(316\) 122.015 + 98.4377i 0.386123 + 0.311512i
\(317\) 131.370 107.813i 0.414417 0.340104i −0.403968 0.914773i \(-0.632369\pi\)
0.818386 + 0.574669i \(0.194869\pi\)
\(318\) −7.35957 + 12.3961i −0.0231433 + 0.0389813i
\(319\) −572.082 −1.79336
\(320\) −178.676 + 463.983i −0.558364 + 1.44995i
\(321\) 22.3127i 0.0695100i
\(322\) 2.79594 4.70933i 0.00868304 0.0146252i
\(323\) 15.4656 + 18.8449i 0.0478811 + 0.0583433i
\(324\) 314.183 33.6017i 0.969699 0.103709i
\(325\) −101.843 + 335.731i −0.313363 + 1.03302i
\(326\) 391.604 59.7649i 1.20124 0.183328i
\(327\) −19.1615 + 3.81147i −0.0585980 + 0.0116559i
\(328\) 26.9038 + 6.38119i 0.0820237 + 0.0194548i
\(329\) 181.268 + 36.0564i 0.550966 + 0.109594i
\(330\) −68.4802 + 62.5908i −0.207516 + 0.189669i
\(331\) −289.054 + 28.4693i −0.873274 + 0.0860100i −0.524716 0.851277i \(-0.675829\pi\)
−0.348558 + 0.937287i \(0.613329\pi\)
\(332\) −124.952 + 1.04585i −0.376361 + 0.00315014i
\(333\) −452.682 + 137.320i −1.35941 + 0.412371i
\(334\) −1.23515 + 3.49809i −0.00369805 + 0.0104733i
\(335\) −214.683 518.290i −0.640844 1.54713i
\(336\) 47.5587 15.3007i 0.141544 0.0455377i
\(337\) −174.251 72.1773i −0.517067 0.214176i 0.108861 0.994057i \(-0.465280\pi\)
−0.625928 + 0.779881i \(0.715280\pi\)
\(338\) −104.894 94.2734i −0.310336 0.278915i
\(339\) −17.4348 9.31912i −0.0514302 0.0274900i
\(340\) −52.7705 + 277.410i −0.155207 + 0.815912i
\(341\) −324.569 + 395.488i −0.951814 + 1.15979i
\(342\) −20.2939 + 43.3767i −0.0593390 + 0.126832i
\(343\) −208.681 312.313i −0.608400 0.910534i
\(344\) −19.0754 309.062i −0.0554518 0.898437i
\(345\) 0.282063 0.422137i 0.000817573 0.00122358i
\(346\) −438.522 107.896i −1.26740 0.311837i
\(347\) 153.391 81.9890i 0.442048 0.236279i −0.235329 0.971916i \(-0.575617\pi\)
0.677377 + 0.735636i \(0.263117\pi\)
\(348\) 25.2977 + 13.2509i 0.0726945 + 0.0380772i
\(349\) −177.387 17.4711i −0.508272 0.0500604i −0.159368 0.987219i \(-0.550946\pi\)
−0.348903 + 0.937159i \(0.613446\pi\)
\(350\) 800.500 + 115.321i 2.28714 + 0.329489i
\(351\) −34.3375 + 34.3375i −0.0978275 + 0.0978275i
\(352\) −155.832 + 682.389i −0.442704 + 1.93861i
\(353\) −96.8182 + 96.8182i −0.274272 + 0.274272i −0.830817 0.556545i \(-0.812127\pi\)
0.556545 + 0.830817i \(0.312127\pi\)
\(354\) −17.7316 23.7004i −0.0500893 0.0669501i
\(355\) −621.632 61.2255i −1.75108 0.172466i
\(356\) 17.7546 197.170i 0.0498725 0.553849i
\(357\) 25.0241 13.3757i 0.0700955 0.0374668i
\(358\) 311.393 188.417i 0.869812 0.526306i
\(359\) −214.200 + 320.572i −0.596657 + 0.892960i −0.999754 0.0221976i \(-0.992934\pi\)
0.403097 + 0.915157i \(0.367934\pi\)
\(360\) −536.357 + 141.530i −1.48988 + 0.393138i
\(361\) 196.562 + 294.176i 0.544494 + 0.814893i
\(362\) 257.246 93.2602i 0.710623 0.257625i
\(363\) −61.9028 + 75.4288i −0.170531 + 0.207793i
\(364\) 249.091 379.632i 0.684317 1.04294i
\(365\) −168.158 89.8823i −0.460707 0.246253i
\(366\) −45.4071 + 2.42123i −0.124063 + 0.00661539i
\(367\) 32.5854 + 13.4973i 0.0887885 + 0.0367774i 0.426636 0.904424i \(-0.359699\pi\)
−0.337847 + 0.941201i \(0.609699\pi\)
\(368\) −0.0641169 3.82989i −0.000174231 0.0104073i
\(369\) 11.8054 + 28.5007i 0.0319928 + 0.0772375i
\(370\) 742.941 355.197i 2.00795 0.959993i
\(371\) 289.029 87.6760i 0.779054 0.236323i
\(372\) 23.5131 9.97080i 0.0632071 0.0268032i
\(373\) 179.903 17.7189i 0.482314 0.0475037i 0.146061 0.989276i \(-0.453340\pi\)
0.336253 + 0.941772i \(0.390840\pi\)
\(374\) −17.8446 + 397.141i −0.0477129 + 1.06187i
\(375\) 21.5334 + 4.28327i 0.0574225 + 0.0114221i
\(376\) 121.149 45.0714i 0.322205 0.119871i
\(377\) 254.562 50.6356i 0.675231 0.134312i
\(378\) 90.1919 + 66.3076i 0.238603 + 0.175417i
\(379\) 81.1044 267.365i 0.213996 0.705450i −0.782564 0.622570i \(-0.786088\pi\)
0.996560 0.0828793i \(-0.0264116\pi\)
\(380\) 23.5311 79.9753i 0.0619240 0.210461i
\(381\) 16.2032 + 19.7436i 0.0425280 + 0.0518205i
\(382\) 44.3786 + 174.075i 0.116174 + 0.455695i
\(383\) 574.122i 1.49901i 0.661997 + 0.749506i \(0.269709\pi\)
−0.661997 + 0.749506i \(0.730291\pi\)
\(384\) 22.6968 26.5660i 0.0591063 0.0691824i
\(385\) 1943.73 5.04866
\(386\) −300.017 + 76.4860i −0.777246 + 0.198150i
\(387\) 267.054 219.165i 0.690061 0.566319i
\(388\) −189.653 + 644.575i −0.488796 + 1.66127i
\(389\) −535.825 162.541i −1.37744 0.417843i −0.487184 0.873299i \(-0.661976\pi\)
−0.890258 + 0.455457i \(0.849476\pi\)
\(390\) 24.9320 33.9126i 0.0639282 0.0869554i
\(391\) −0.424419 2.13370i −0.00108547 0.00545704i
\(392\) −595.313 272.470i −1.51866 0.695076i
\(393\) 4.07850 20.5040i 0.0103779 0.0521730i
\(394\) −575.931 25.8781i −1.46175 0.0656805i
\(395\) −29.8443 303.014i −0.0755551 0.767124i
\(396\) −718.959 + 304.877i −1.81555 + 0.769892i
\(397\) 136.311 + 449.356i 0.343352 + 1.13188i 0.943328 + 0.331861i \(0.107677\pi\)
−0.599976 + 0.800018i \(0.704823\pi\)
\(398\) −217.277 454.463i −0.545921 1.14187i
\(399\) −7.73906 + 3.20563i −0.0193962 + 0.00803415i
\(400\) 518.892 225.181i 1.29723 0.562951i
\(401\) −140.555 + 339.331i −0.350512 + 0.846212i 0.646044 + 0.763300i \(0.276422\pi\)
−0.996557 + 0.0829121i \(0.973578\pi\)
\(402\) 2.09925 + 39.3688i 0.00522201 + 0.0979322i
\(403\) 109.420 204.710i 0.271513 0.507966i
\(404\) 204.108 311.074i 0.505218 0.769985i
\(405\) −474.380 389.313i −1.17131 0.961268i
\(406\) −203.924 562.498i −0.502276 1.38546i
\(407\) 963.926 644.075i 2.36837 1.58249i
\(408\) 9.98789 17.1484i 0.0244801 0.0420304i
\(409\) −78.3787 52.3710i −0.191635 0.128046i 0.456051 0.889953i \(-0.349263\pi\)
−0.647686 + 0.761907i \(0.724263\pi\)
\(410\) −27.8006 45.9454i −0.0678064 0.112062i
\(411\) −3.74654 7.00929i −0.00911568 0.0170542i
\(412\) −37.4789 + 416.214i −0.0909682 + 1.01023i
\(413\) −60.7841 + 617.151i −0.147177 + 1.49431i
\(414\) 3.42187 2.56010i 0.00826538 0.00618381i
\(415\) 171.606 + 171.606i 0.413508 + 0.413508i
\(416\) 8.94236 317.439i 0.0214961 0.763074i
\(417\) 27.3955 + 27.3955i 0.0656968 + 0.0656968i
\(418\) 16.7346 116.163i 0.0400349 0.277901i
\(419\) −50.0368 + 508.032i −0.119419 + 1.21249i 0.729506 + 0.683974i \(0.239750\pi\)
−0.848926 + 0.528512i \(0.822750\pi\)
\(420\) −85.9526 45.0218i −0.204649 0.107195i
\(421\) 147.456 + 275.870i 0.350251 + 0.655273i 0.993929 0.110023i \(-0.0350924\pi\)
−0.643678 + 0.765296i \(0.722592\pi\)
\(422\) 160.809 653.580i 0.381065 1.54877i
\(423\) 119.911 + 80.1217i 0.283477 + 0.189413i
\(424\) 139.885 158.288i 0.329917 0.373322i
\(425\) 267.118 178.482i 0.628513 0.419959i
\(426\) 39.7612 + 18.6024i 0.0933361 + 0.0436676i
\(427\) 736.433 + 604.375i 1.72467 + 1.41540i
\(428\) 61.0988 321.191i 0.142754 0.750446i
\(429\) 27.9331 52.2592i 0.0651122 0.121816i
\(430\) −402.004 + 447.291i −0.934894 + 1.04021i
\(431\) 310.695 750.084i 0.720870 1.74033i 0.0500122 0.998749i \(-0.484074\pi\)
0.670858 0.741586i \(-0.265926\pi\)
\(432\) 78.0331 + 6.36873i 0.180632 + 0.0147424i
\(433\) −459.250 + 190.228i −1.06062 + 0.439325i −0.843673 0.536858i \(-0.819611\pi\)
−0.216951 + 0.976183i \(0.569611\pi\)
\(434\) −504.558 178.155i −1.16258 0.410496i
\(435\) −16.1005 53.0764i −0.0370128 0.122015i
\(436\) 286.267 2.39605i 0.656576 0.00549554i
\(437\) 0.0629515 + 0.639157i 0.000144054 + 0.00146260i
\(438\) 9.04023 + 9.89085i 0.0206398 + 0.0225819i
\(439\) −57.9892 + 291.532i −0.132094 + 0.664081i 0.856823 + 0.515611i \(0.172435\pi\)
−0.988917 + 0.148470i \(0.952565\pi\)
\(440\) 1157.16 713.475i 2.62992 1.62153i
\(441\) −142.503 716.409i −0.323135 1.62451i
\(442\) −27.2109 178.297i −0.0615632 0.403387i
\(443\) 278.671 + 84.5339i 0.629054 + 0.190821i 0.588684 0.808363i \(-0.299646\pi\)
0.0403701 + 0.999185i \(0.487146\pi\)
\(444\) −57.5436 + 6.15426i −0.129603 + 0.0138609i
\(445\) −297.214 + 243.917i −0.667897 + 0.548129i
\(446\) 41.6922 + 24.7528i 0.0934803 + 0.0554995i
\(447\) −41.1236 −0.0919991
\(448\) −726.504 + 90.0230i −1.62166 + 0.200944i
\(449\) 3.95749i 0.00881400i 0.999990 + 0.00440700i \(0.00140280\pi\)
−0.999990 + 0.00440700i \(0.998597\pi\)
\(450\) 542.651 + 322.173i 1.20589 + 0.715941i
\(451\) −47.9609 58.4405i −0.106343 0.129580i
\(452\) 225.456 + 181.890i 0.498796 + 0.402412i
\(453\) −4.63729 + 15.2871i −0.0102368 + 0.0337463i
\(454\) −1.60924 10.5444i −0.00354457 0.0232255i
\(455\) −864.913 + 172.042i −1.90091 + 0.378114i
\(456\) −3.43063 + 4.74914i −0.00752331 + 0.0104148i
\(457\) −43.2878 8.61048i −0.0947217 0.0188413i 0.147502 0.989062i \(-0.452877\pi\)
−0.242224 + 0.970220i \(0.577877\pi\)
\(458\) −119.053 130.256i −0.259942 0.284401i
\(459\) 44.2524 4.35848i 0.0964104 0.00949559i
\(460\) −5.21622 + 5.30428i −0.0113396 + 0.0115310i
\(461\) 234.778 71.2193i 0.509281 0.154489i −0.0251783 0.999683i \(-0.508015\pi\)
0.534459 + 0.845194i \(0.320515\pi\)
\(462\) −128.805 45.4802i −0.278800 0.0984420i
\(463\) 220.498 + 532.329i 0.476237 + 1.14974i 0.961361 + 0.275293i \(0.0887747\pi\)
−0.485123 + 0.874446i \(0.661225\pi\)
\(464\) −327.875 260.019i −0.706627 0.560385i
\(465\) −45.8270 18.9822i −0.0985527 0.0408219i
\(466\) 474.658 528.129i 1.01858 1.13332i
\(467\) −354.173 189.309i −0.758401 0.405374i 0.0463968 0.998923i \(-0.485226\pi\)
−0.804797 + 0.593549i \(0.797726\pi\)
\(468\) 292.934 199.299i 0.625927 0.425852i
\(469\) 524.003 638.500i 1.11728 1.36141i
\(470\) −227.393 106.387i −0.483814 0.226354i
\(471\) 43.1675 + 64.6047i 0.0916507 + 0.137165i
\(472\) 190.348 + 389.721i 0.403279 + 0.825679i
\(473\) −470.372 + 703.961i −0.994443 + 1.48829i
\(474\) −5.11234 + 20.7782i −0.0107855 + 0.0438358i
\(475\) −83.6432 + 44.7082i −0.176091 + 0.0941226i
\(476\) −396.848 + 124.019i −0.833715 + 0.260544i
\(477\) 234.544 + 23.1006i 0.491707 + 0.0484289i
\(478\) 64.2279 445.836i 0.134368 0.932711i
\(479\) −72.8335 + 72.8335i −0.152053 + 0.152053i −0.779034 0.626981i \(-0.784290\pi\)
0.626981 + 0.779034i \(0.284290\pi\)
\(480\) −67.6961 + 4.74729i −0.141034 + 0.00989019i
\(481\) −371.915 + 371.915i −0.773213 + 0.773213i
\(482\) −538.024 + 402.527i −1.11623 + 0.835118i
\(483\) 0.743924 + 0.0732701i 0.00154021 + 0.000151698i
\(484\) 1097.64 916.288i 2.26784 1.89316i
\(485\) 1150.86 615.145i 2.37290 1.26834i
\(486\) 67.9240 + 112.256i 0.139761 + 0.230980i
\(487\) −208.873 + 312.601i −0.428898 + 0.641892i −0.981479 0.191568i \(-0.938643\pi\)
0.552581 + 0.833459i \(0.313643\pi\)
\(488\) 660.265 + 89.4846i 1.35300 + 0.183370i
\(489\) 30.0390 + 44.9565i 0.0614295 + 0.0919357i
\(490\) 433.379 + 1195.42i 0.884448 + 2.43963i
\(491\) −251.065 + 305.923i −0.511333 + 0.623061i −0.963122 0.269063i \(-0.913286\pi\)
0.451789 + 0.892125i \(0.350786\pi\)
\(492\) 0.767218 + 3.69516i 0.00155939 + 0.00751048i
\(493\) −209.604 112.036i −0.425160 0.227253i
\(494\) 2.83521 + 53.1707i 0.00573928 + 0.107633i
\(495\) 1401.25 + 580.418i 2.83082 + 1.17256i
\(496\) −365.773 + 79.1438i −0.737446 + 0.159564i
\(497\) −351.955 849.696i −0.708160 1.70965i
\(498\) −7.35651 15.3871i −0.0147721 0.0308978i
\(499\) −542.132 + 164.454i −1.08644 + 0.329567i −0.782199 0.623029i \(-0.785902\pi\)
−0.304238 + 0.952596i \(0.598402\pi\)
\(500\) −298.245 120.623i −0.596490 0.241245i
\(501\) −0.503904 + 0.0496302i −0.00100580 + 9.90624e-5i
\(502\) −487.082 21.8859i −0.970283 0.0435974i
\(503\) −800.748 159.279i −1.59194 0.316657i −0.681989 0.731363i \(-0.738885\pi\)
−0.909956 + 0.414705i \(0.863885\pi\)
\(504\) −556.050 598.237i −1.10327 1.18698i
\(505\) −708.718 + 140.973i −1.40340 + 0.279154i
\(506\) −6.20360 + 8.43817i −0.0122601 + 0.0166762i
\(507\) 5.58783 18.4206i 0.0110214 0.0363325i
\(508\) −179.180 328.578i −0.352717 0.646807i
\(509\) 595.310 + 725.388i 1.16957 + 1.42512i 0.884452 + 0.466630i \(0.154532\pi\)
0.285116 + 0.958493i \(0.407968\pi\)
\(510\) −37.3480 + 9.52146i −0.0732313 + 0.0186695i
\(511\) 280.741i 0.549395i
\(512\) −399.466 + 320.267i −0.780207 + 0.625522i
\(513\) −13.1273 −0.0255894
\(514\) 220.520 + 864.991i 0.429027 + 1.68286i
\(515\) 627.400 514.894i 1.21825 0.999795i
\(516\) 37.1055 20.2344i 0.0719099 0.0392140i
\(517\) −338.209 102.595i −0.654176 0.198442i
\(518\) 976.885 + 718.190i 1.88588 + 1.38647i
\(519\) −12.0251 60.4544i −0.0231698 0.116483i
\(520\) −451.758 + 419.900i −0.868766 + 0.807500i
\(521\) 50.6558 254.664i 0.0972281 0.488799i −0.901233 0.433336i \(-0.857336\pi\)
0.998461 0.0554631i \(-0.0176635\pi\)
\(522\) 20.9567 466.403i 0.0401470 0.893492i
\(523\) −66.0796 670.917i −0.126347 1.28282i −0.824083 0.566469i \(-0.808309\pi\)
0.697736 0.716355i \(-0.254191\pi\)
\(524\) −114.856 + 283.987i −0.219191 + 0.541959i
\(525\) 32.0439 + 105.635i 0.0610360 + 0.201209i
\(526\) 190.948 91.2915i 0.363019 0.173558i
\(527\) −196.370 + 81.3390i −0.372618 + 0.154343i
\(528\) −93.3760 + 20.2041i −0.176848 + 0.0382654i
\(529\) −202.418 + 488.679i −0.382642 + 0.923779i
\(530\) −409.687 + 21.8456i −0.772994 + 0.0412181i
\(531\) −228.107 + 426.759i −0.429581 + 0.803689i
\(532\) 120.182 24.9531i 0.225905 0.0469043i
\(533\) 26.5140 + 21.7595i 0.0497449 + 0.0408246i
\(534\) 25.4028 9.20935i 0.0475707 0.0172460i
\(535\) −527.980 + 352.785i −0.986879 + 0.659411i
\(536\) 77.5846 572.461i 0.144747 1.06802i
\(537\) 41.3047 + 27.5989i 0.0769175 + 0.0513946i
\(538\) −272.326 + 164.779i −0.506182 + 0.306280i
\(539\) 843.845 + 1578.72i 1.56557 + 2.92898i
\(540\) −97.4451 116.731i −0.180454 0.216169i
\(541\) 45.1503 458.419i 0.0834571 0.847354i −0.858766 0.512368i \(-0.828768\pi\)
0.942223 0.334986i \(-0.108732\pi\)
\(542\) 227.394 + 303.938i 0.419546 + 0.560772i
\(543\) 26.4087 + 26.4087i 0.0486348 + 0.0486348i
\(544\) −190.733 + 219.501i −0.350612 + 0.403495i
\(545\) −393.152 393.152i −0.721380 0.721380i
\(546\) 61.3407 + 8.83684i 0.112346 + 0.0161847i
\(547\) −20.9205 + 212.410i −0.0382459 + 0.388317i 0.956938 + 0.290292i \(0.0937525\pi\)
−0.995184 + 0.0980250i \(0.968747\pi\)
\(548\) 34.7379 + 111.158i 0.0633904 + 0.202843i
\(549\) 350.428 + 655.605i 0.638303 + 1.19418i
\(550\) −1501.80 369.509i −2.73055 0.671835i
\(551\) 58.3392 + 38.9810i 0.105879 + 0.0707459i
\(552\) 0.469775 0.229448i 0.000851042 0.000415666i
\(553\) 372.755 249.067i 0.674060 0.450392i
\(554\) 70.6101 150.923i 0.127455 0.272425i
\(555\) 86.8842 + 71.3040i 0.156548 + 0.128476i
\(556\) −319.341 469.376i −0.574355 0.844201i
\(557\) 238.668 446.516i 0.428488 0.801644i −0.571330 0.820720i \(-0.693573\pi\)
0.999818 + 0.0190763i \(0.00607254\pi\)
\(558\) −310.541 279.100i −0.556525 0.500179i
\(559\) 146.995 354.878i 0.262961 0.634845i
\(560\) 1114.00 + 883.452i 1.98929 + 1.57759i
\(561\) −50.1300 + 20.7645i −0.0893583 + 0.0370134i
\(562\) −139.147 + 394.082i −0.247593 + 0.701214i
\(563\) −131.362 433.043i −0.233325 0.769170i −0.992921 0.118775i \(-0.962103\pi\)
0.759596 0.650395i \(-0.225397\pi\)
\(564\) 12.5794 + 12.3705i 0.0223039 + 0.0219336i
\(565\) −55.1454 559.901i −0.0976025 0.990975i
\(566\) −281.495 + 257.286i −0.497341 + 0.454569i
\(567\) 176.277 886.202i 0.310893 1.56297i
\(568\) −521.423 376.659i −0.917998 0.663133i
\(569\) 134.914 + 678.259i 0.237107 + 1.19202i 0.897471 + 0.441073i \(0.145402\pi\)
−0.660364 + 0.750946i \(0.729598\pi\)
\(570\) 11.2483 1.71666i 0.0197338 0.00301169i
\(571\) −813.349 246.727i −1.42443 0.432096i −0.518337 0.855176i \(-0.673449\pi\)
−0.906092 + 0.423081i \(0.860949\pi\)
\(572\) −545.198 + 675.781i −0.953144 + 1.18144i
\(573\) −18.9538 + 15.5550i −0.0330782 + 0.0271466i
\(574\) 40.3653 67.9890i 0.0703228 0.118448i
\(575\) 8.46355 0.0147192
\(576\) −550.625 152.043i −0.955946 0.263964i
\(577\) 1041.06i 1.80426i 0.431460 + 0.902132i \(0.357998\pi\)
−0.431460 + 0.902132i \(0.642002\pi\)
\(578\) 210.761 354.993i 0.364638 0.614175i
\(579\) −26.8088 32.6666i −0.0463019 0.0564191i
\(580\) 86.4283 + 808.122i 0.149014 + 1.39331i
\(581\) −103.726 + 341.940i −0.178531 + 0.588536i
\(582\) −90.6572 + 13.8357i −0.155768 + 0.0237727i
\(583\) −566.479 + 112.680i −0.971663 + 0.193276i
\(584\) −103.050 167.134i −0.176455 0.286188i
\(585\) −674.896 134.245i −1.15367 0.229479i
\(586\) 475.146 434.283i 0.810829 0.741097i
\(587\) 589.778 58.0881i 1.00473 0.0989575i 0.417754 0.908560i \(-0.362817\pi\)
0.586978 + 0.809603i \(0.300317\pi\)
\(588\) −0.747920 89.3573i −0.00127197 0.151968i
\(589\) 60.0466 18.2149i 0.101947 0.0309252i
\(590\) 280.462 794.304i 0.475360 1.34628i
\(591\) −30.1126 72.6981i −0.0509519 0.123009i
\(592\) 845.191 + 68.9808i 1.42769 + 0.116522i
\(593\) −325.359 134.768i −0.548666 0.227265i 0.0910902 0.995843i \(-0.470965\pi\)
−0.639757 + 0.768578i \(0.720965\pi\)
\(594\) −159.214 143.094i −0.268037 0.240899i
\(595\) 712.160 + 380.658i 1.19691 + 0.639761i
\(596\) 591.974 + 112.609i 0.993245 + 0.188941i
\(597\) 43.6172 53.1477i 0.0730606 0.0890246i
\(598\) 2.01358 4.30386i 0.00336719 0.00719709i
\(599\) −150.212 224.809i −0.250772 0.375307i 0.684631 0.728890i \(-0.259963\pi\)
−0.935403 + 0.353583i \(0.884963\pi\)
\(600\) 57.8514 + 51.1253i 0.0964190 + 0.0852089i
\(601\) 115.844 173.373i 0.192753 0.288475i −0.722487 0.691384i \(-0.757001\pi\)
0.915240 + 0.402910i \(0.132001\pi\)
\(602\) −859.836 211.558i −1.42830 0.351424i
\(603\) 568.421 303.827i 0.942654 0.503859i
\(604\) 108.614 207.359i 0.179825 0.343310i
\(605\) −2763.60 272.190i −4.56793 0.449901i
\(606\) 50.2632 + 7.24100i 0.0829426 + 0.0119488i
\(607\) 732.343 732.343i 1.20650 1.20650i 0.234342 0.972154i \(-0.424706\pi\)
0.972154 0.234342i \(-0.0752935\pi\)
\(608\) 62.3884 58.9697i 0.102613 0.0969897i
\(609\) 57.7457 57.7457i 0.0948205 0.0948205i
\(610\) −775.223 1036.18i −1.27086 1.69865i
\(611\) 159.575 + 15.7168i 0.261171 + 0.0257231i
\(612\) −323.125 29.0965i −0.527981 0.0475432i
\(613\) 493.940 264.017i 0.805775 0.430696i −0.0164452 0.999865i \(-0.505235\pi\)
0.822221 + 0.569169i \(0.192735\pi\)
\(614\) −627.632 + 379.768i −1.02220 + 0.618514i
\(615\) 4.07217 6.09443i 0.00662141 0.00990964i
\(616\) 1729.61 + 1007.39i 2.80782 + 1.63538i
\(617\) −364.194 545.054i −0.590265 0.883394i 0.409314 0.912393i \(-0.365768\pi\)
−0.999579 + 0.0289993i \(0.990768\pi\)
\(618\) −53.6237 + 19.4404i −0.0867697 + 0.0314569i
\(619\) −590.844 + 719.945i −0.954513 + 1.16308i 0.0320150 + 0.999487i \(0.489808\pi\)
−0.986528 + 0.163590i \(0.947692\pi\)
\(620\) 607.700 + 398.736i 0.980162 + 0.643122i
\(621\) 1.03314 + 0.552224i 0.00166367 + 0.000889249i
\(622\) 954.595 50.9016i 1.53472 0.0818354i
\(623\) −523.019 216.641i −0.839516 0.347739i
\(624\) 39.7617 17.2551i 0.0637206 0.0276525i
\(625\) −99.1136 239.281i −0.158582 0.382850i
\(626\) 123.897 59.2345i 0.197918 0.0946238i
\(627\) 15.3289 4.64998i 0.0244480 0.00741623i
\(628\) −444.488 1048.19i −0.707784 1.66909i
\(629\) 479.305 47.2074i 0.762012 0.0750516i
\(630\) −71.2036 + 1584.67i −0.113022 + 2.51535i
\(631\) 189.123 + 37.6188i 0.299719 + 0.0596178i 0.342659 0.939460i \(-0.388672\pi\)
−0.0429401 + 0.999078i \(0.513672\pi\)
\(632\) 130.489 285.102i 0.206470 0.451111i
\(633\) 90.1022 17.9224i 0.142342 0.0283135i
\(634\) −273.849 201.330i −0.431939 0.317555i
\(635\) −211.001 + 695.577i −0.332285 + 1.09540i
\(636\) 27.6599 + 8.13836i 0.0434904 + 0.0127962i
\(637\) −515.224 627.802i −0.808829 0.985561i
\(638\) 282.651 + 1108.70i 0.443027 + 1.73778i
\(639\) 717.650i 1.12308i
\(640\) 987.484 + 117.035i 1.54294 + 0.182867i
\(641\) 555.957 0.867327 0.433663 0.901075i \(-0.357221\pi\)
0.433663 + 0.901075i \(0.357221\pi\)
\(642\) 43.2423 11.0241i 0.0673556 0.0171716i
\(643\) −285.775 + 234.530i −0.444440 + 0.364743i −0.829835 0.558009i \(-0.811565\pi\)
0.385394 + 0.922752i \(0.374065\pi\)
\(644\) −10.5081 3.09180i −0.0163170 0.00480094i
\(645\) −78.5498 23.8278i −0.121783 0.0369424i
\(646\) 28.8804 39.2833i 0.0447066 0.0608101i
\(647\) 79.3119 + 398.728i 0.122584 + 0.616272i 0.992416 + 0.122924i \(0.0392271\pi\)
−0.869832 + 0.493348i \(0.835773\pi\)
\(648\) −220.350 592.288i −0.340047 0.914024i
\(649\) 231.354 1163.10i 0.356478 1.79214i
\(650\) 700.969 + 31.4964i 1.07841 + 0.0484561i
\(651\) −7.15857 72.6822i −0.0109963 0.111647i
\(652\) −309.307 729.404i −0.474397 1.11872i
\(653\) −120.422 396.979i −0.184414 0.607931i −0.999588 0.0287144i \(-0.990859\pi\)
0.815174 0.579216i \(-0.196641\pi\)
\(654\) 16.8539 + 35.2521i 0.0257705 + 0.0539023i
\(655\) 549.666 227.679i 0.839185 0.347602i
\(656\) −0.925662 55.2926i −0.00141107 0.0842875i
\(657\) 83.8320 202.388i 0.127598 0.308049i
\(658\) −19.6821 369.113i −0.0299121 0.560963i
\(659\) −121.087 + 226.537i −0.183743 + 0.343759i −0.956882 0.290478i \(-0.906186\pi\)
0.773139 + 0.634237i \(0.218686\pi\)
\(660\) 155.136 + 101.791i 0.235055 + 0.154229i
\(661\) −391.629 321.402i −0.592480 0.486236i 0.289719 0.957112i \(-0.406438\pi\)
−0.882200 + 0.470876i \(0.843938\pi\)
\(662\) 197.988 + 546.124i 0.299076 + 0.824960i
\(663\) 20.4687 13.6768i 0.0308729 0.0206286i
\(664\) 63.7624 + 241.641i 0.0960277 + 0.363918i
\(665\) −198.216 132.444i −0.298069 0.199163i
\(666\) 489.786 + 809.457i 0.735414 + 1.21540i
\(667\) −2.95156 5.52198i −0.00442513 0.00827884i
\(668\) 7.38960 + 0.665412i 0.0110623 + 0.000996126i
\(669\) −0.648668 + 6.58604i −0.000969609 + 0.00984460i
\(670\) −898.382 + 672.132i −1.34087 + 1.00318i
\(671\) −1288.21 1288.21i −1.91984 1.91984i
\(672\) −53.1504 84.6096i −0.0790929 0.125907i
\(673\) −196.291 196.291i −0.291666 0.291666i 0.546072 0.837738i \(-0.316123\pi\)
−0.837738 + 0.546072i \(0.816123\pi\)
\(674\) −53.7872 + 373.362i −0.0798029 + 0.553950i
\(675\) −16.9562 + 172.159i −0.0251202 + 0.255050i
\(676\) −130.878 + 249.863i −0.193606 + 0.369620i
\(677\) −281.875 527.350i −0.416358 0.778952i 0.583082 0.812414i \(-0.301847\pi\)
−0.999440 + 0.0334617i \(0.989347\pi\)
\(678\) −9.44644 + 38.3933i −0.0139328 + 0.0566273i
\(679\) 1597.55 + 1067.45i 2.35280 + 1.57209i
\(680\) 563.696 34.7915i 0.828965 0.0511640i
\(681\) 1.21050 0.808833i 0.00177754 0.00118771i
\(682\) 926.822 + 433.617i 1.35898 + 0.635802i
\(683\) 48.9037 + 40.1343i 0.0716014 + 0.0587617i 0.669513 0.742800i \(-0.266503\pi\)
−0.597912 + 0.801562i \(0.704003\pi\)
\(684\) 94.0912 + 17.8986i 0.137560 + 0.0261675i
\(685\) 106.623 199.477i 0.155654 0.291208i
\(686\) −502.163 + 558.733i −0.732016 + 0.814479i
\(687\) 9.21723 22.2524i 0.0134166 0.0323906i
\(688\) −589.541 + 189.668i −0.856892 + 0.275681i
\(689\) 242.096 100.279i 0.351373 0.145543i
\(690\) −0.957466 0.338074i −0.00138763 0.000489962i
\(691\) 89.2013 + 294.057i 0.129090 + 0.425553i 0.997530 0.0702412i \(-0.0223769\pi\)
−0.868440 + 0.495795i \(0.834877\pi\)
\(692\) 7.55952 + 903.169i 0.0109242 + 1.30516i
\(693\) 218.888 + 2222.40i 0.315855 + 3.20693i
\(694\) −234.682 256.764i −0.338159 0.369977i
\(695\) −215.105 + 1081.40i −0.309503 + 1.55598i
\(696\) 13.1814 55.5741i 0.0189388 0.0798479i
\(697\) −6.12739 30.8045i −0.00879109 0.0441958i
\(698\) 53.7832 + 352.410i 0.0770533 + 0.504885i
\(699\) 92.7460 + 28.1342i 0.132684 + 0.0402492i
\(700\) −172.013 1608.36i −0.245733 2.29765i
\(701\) 675.939 554.729i 0.964250 0.791339i −0.0137587 0.999905i \(-0.504380\pi\)
0.978008 + 0.208566i \(0.0668797\pi\)
\(702\) 83.5117 + 49.5811i 0.118963 + 0.0706284i
\(703\) −142.185 −0.202254
\(704\) 1399.47 35.1473i 1.98788 0.0499251i
\(705\) 34.2656i 0.0486037i
\(706\) 235.470 + 139.799i 0.333527 + 0.198016i
\(707\) −674.957 822.438i −0.954678 1.16328i
\(708\) −37.1708 + 46.0738i −0.0525012 + 0.0650760i
\(709\) 39.2587 129.419i 0.0553720 0.182537i −0.924892 0.380230i \(-0.875845\pi\)
0.980264 + 0.197693i \(0.0633449\pi\)
\(710\) 188.477 + 1234.98i 0.265461 + 1.73941i
\(711\) 343.096 68.2460i 0.482554 0.0959860i
\(712\) −390.890 + 63.0082i −0.549003 + 0.0884947i
\(713\) −5.49198 1.09242i −0.00770264 0.00153215i
\(714\) −38.2860 41.8884i −0.0536218 0.0586673i
\(715\) 1678.25 165.293i 2.34720 0.231179i
\(716\) −519.007 510.391i −0.724870 0.712836i
\(717\) 58.8329 17.8468i 0.0820543 0.0248909i
\(718\) 727.104 + 256.735i 1.01268 + 0.357569i
\(719\) 341.276 + 823.914i 0.474654 + 1.14592i 0.962084 + 0.272755i \(0.0879347\pi\)
−0.487429 + 0.873162i \(0.662065\pi\)
\(720\) 539.287 + 969.540i 0.749010 + 1.34658i
\(721\) 1104.06 + 457.317i 1.53129 + 0.634281i
\(722\) 473.001 526.286i 0.655126 0.728927i
\(723\) −80.8831 43.2329i −0.111871 0.0597965i
\(724\) −307.838 452.468i −0.425191 0.624955i
\(725\) 586.571 714.739i 0.809064 0.985847i
\(726\) 176.767 + 82.7009i 0.243480 + 0.113913i
\(727\) −225.561 337.576i −0.310263 0.464341i 0.643266 0.765643i \(-0.277579\pi\)
−0.953529 + 0.301302i \(0.902579\pi\)
\(728\) −858.801 295.175i −1.17967 0.405461i
\(729\) 385.029 576.237i 0.528160 0.790448i
\(730\) −91.1103 + 370.301i −0.124809 + 0.507261i
\(731\) −310.201 + 165.806i −0.424352 + 0.226821i
\(732\) 27.1269 + 86.8033i 0.0370586 + 0.118584i
\(733\) 990.495 + 97.5552i 1.35129 + 0.133090i 0.747610 0.664138i \(-0.231201\pi\)
0.603678 + 0.797228i \(0.293701\pi\)
\(734\) 10.0583 69.8195i 0.0137034 0.0951220i
\(735\) −122.721 + 122.721i −0.166967 + 0.166967i
\(736\) −7.39070 + 2.01651i −0.0100417 + 0.00273983i
\(737\) −1116.90 + 1116.90i −1.51547 + 1.51547i
\(738\) 49.4019 36.9604i 0.0669402 0.0500818i
\(739\) −106.560 10.4953i −0.144195 0.0142020i 0.0256621 0.999671i \(-0.491831\pi\)
−0.169857 + 0.985469i \(0.554331\pi\)
\(740\) −1055.45 1264.34i −1.42628 1.70856i
\(741\) −6.40941 + 3.42590i −0.00864968 + 0.00462335i
\(742\) −312.719 516.823i −0.421454 0.696527i
\(743\) 303.867 454.768i 0.408972 0.612070i −0.568614 0.822604i \(-0.692520\pi\)
0.977587 + 0.210534i \(0.0675202\pi\)
\(744\) −30.9407 40.6422i −0.0415870 0.0546267i
\(745\) −650.203 973.098i −0.872756 1.30617i
\(746\) −123.225 339.900i −0.165181 0.455629i
\(747\) −176.884 + 215.533i −0.236792 + 0.288532i
\(748\) 778.480 161.634i 1.04075 0.216089i
\(749\) −824.554 440.733i −1.10087 0.588429i
\(750\) −2.33811 43.8483i −0.00311748 0.0584644i
\(751\) −205.670 85.1911i −0.273861 0.113437i 0.241526 0.970394i \(-0.422352\pi\)
−0.515387 + 0.856957i \(0.672352\pi\)
\(752\) −147.206 212.520i −0.195752 0.282606i
\(753\) −25.4671 61.4830i −0.0338209 0.0816508i