Properties

Label 225.2.q.a.31.10
Level $225$
Weight $2$
Character 225.31
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 31.10
Character \(\chi\) \(=\) 225.31
Dual form 225.2.q.a.196.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.727367 + 0.807823i) q^{2} +(-0.917090 + 1.46933i) q^{3} +(0.0855417 + 0.813875i) q^{4} +(0.934297 + 2.03152i) q^{5} +(-0.519901 - 1.80959i) q^{6} +(1.73969 + 3.01324i) q^{7} +(-2.47854 - 1.80077i) q^{8} +(-1.31789 - 2.69503i) q^{9} +O(q^{10})\) \(q+(-0.727367 + 0.807823i) q^{2} +(-0.917090 + 1.46933i) q^{3} +(0.0855417 + 0.813875i) q^{4} +(0.934297 + 2.03152i) q^{5} +(-0.519901 - 1.80959i) q^{6} +(1.73969 + 3.01324i) q^{7} +(-2.47854 - 1.80077i) q^{8} +(-1.31789 - 2.69503i) q^{9} +(-2.32069 - 0.722917i) q^{10} +(2.35402 - 2.61440i) q^{11} +(-1.27430 - 0.620708i) q^{12} +(1.45133 + 1.61187i) q^{13} +(-3.69956 - 0.786365i) q^{14} +(-3.84182 - 0.490296i) q^{15} +(1.65656 - 0.352114i) q^{16} +(-1.54674 - 1.12377i) q^{17} +(3.13570 + 0.895651i) q^{18} +(-0.970198 - 0.704890i) q^{19} +(-1.57349 + 0.934181i) q^{20} +(-6.02291 - 0.207218i) q^{21} +(0.399739 + 3.80326i) q^{22} +(-1.96627 - 0.417944i) q^{23} +(4.91898 - 1.99035i) q^{24} +(-3.25418 + 3.79609i) q^{25} -2.35776 q^{26} +(5.16852 + 0.535160i) q^{27} +(-2.30358 + 1.67365i) q^{28} +(-3.26898 - 1.45544i) q^{29} +(3.19049 - 2.74689i) q^{30} +(5.79773 - 2.58132i) q^{31} +(2.14316 - 3.71207i) q^{32} +(1.68259 + 5.85649i) q^{33} +(2.03286 - 0.432098i) q^{34} +(-4.49607 + 6.34948i) q^{35} +(2.08068 - 1.30314i) q^{36} +(2.46324 - 7.58107i) q^{37} +(1.27512 - 0.271034i) q^{38} +(-3.69938 + 0.654265i) q^{39} +(1.34261 - 6.71767i) q^{40} +(1.73464 + 1.92652i) q^{41} +(4.54826 - 4.71472i) q^{42} +(5.34941 + 9.26545i) q^{43} +(2.32917 + 1.69224i) q^{44} +(4.24371 - 5.19528i) q^{45} +(1.76783 - 1.28440i) q^{46} +(11.9942 + 5.34016i) q^{47} +(-1.00185 + 2.75697i) q^{48} +(-2.55306 + 4.42203i) q^{49} +(-0.699589 - 5.38996i) q^{50} +(3.06970 - 1.24208i) q^{51} +(-1.18771 + 1.31909i) q^{52} +(-11.2674 + 8.18624i) q^{53} +(-4.19173 + 3.78599i) q^{54} +(7.51058 + 2.33962i) q^{55} +(1.11423 - 10.6012i) q^{56} +(1.92548 - 0.779098i) q^{57} +(3.55349 - 1.58212i) q^{58} +(-3.64544 - 4.04867i) q^{59} +(0.0704032 - 3.16871i) q^{60} +(0.353232 - 0.392304i) q^{61} +(-2.13183 + 6.56111i) q^{62} +(5.82802 - 8.65963i) q^{63} +(2.48651 + 7.65270i) q^{64} +(-1.91857 + 4.45438i) q^{65} +(-5.95487 - 2.90059i) q^{66} +(-9.83507 + 4.37885i) q^{67} +(0.782301 - 1.35499i) q^{68} +(2.41735 - 2.50582i) q^{69} +(-1.85897 - 8.25044i) q^{70} +(6.38098 - 4.63605i) q^{71} +(-1.58667 + 9.05296i) q^{72} +(-2.75054 - 8.46529i) q^{73} +(4.33248 + 7.50408i) q^{74} +(-2.59336 - 8.26284i) q^{75} +(0.490700 - 0.849917i) q^{76} +(11.9731 + 2.54496i) q^{77} +(2.16228 - 3.46434i) q^{78} +(6.17366 + 2.74869i) q^{79} +(2.26305 + 3.03637i) q^{80} +(-5.52633 + 7.10350i) q^{81} -2.81801 q^{82} +(0.372037 - 3.53969i) q^{83} +(-0.346560 - 4.91962i) q^{84} +(0.837858 - 4.19218i) q^{85} +(-11.3758 - 2.41801i) q^{86} +(5.13649 - 3.46846i) q^{87} +(-10.5425 + 2.24087i) q^{88} +(2.71707 + 8.36227i) q^{89} +(1.11013 + 7.20704i) q^{90} +(-2.33207 + 7.17736i) q^{91} +(0.171956 - 1.63605i) q^{92} +(-1.52423 + 10.8861i) q^{93} +(-13.0381 + 5.80493i) q^{94} +(0.525548 - 2.62956i) q^{95} +(3.48880 + 6.55333i) q^{96} +(-15.6914 - 6.98627i) q^{97} +(-1.71520 - 5.27886i) q^{98} +(-10.1482 - 2.89865i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.727367 + 0.807823i −0.514326 + 0.571217i −0.943233 0.332131i \(-0.892232\pi\)
0.428907 + 0.903349i \(0.358899\pi\)
\(3\) −0.917090 + 1.46933i −0.529482 + 0.848321i
\(4\) 0.0855417 + 0.813875i 0.0427709 + 0.406938i
\(5\) 0.934297 + 2.03152i 0.417830 + 0.908525i
\(6\) −0.519901 1.80959i −0.212249 0.738763i
\(7\) 1.73969 + 3.01324i 0.657542 + 1.13890i 0.981250 + 0.192739i \(0.0617370\pi\)
−0.323708 + 0.946157i \(0.604930\pi\)
\(8\) −2.47854 1.80077i −0.876298 0.636668i
\(9\) −1.31789 2.69503i −0.439297 0.898342i
\(10\) −2.32069 0.722917i −0.733866 0.228607i
\(11\) 2.35402 2.61440i 0.709764 0.788272i −0.275135 0.961406i \(-0.588722\pi\)
0.984898 + 0.173133i \(0.0553891\pi\)
\(12\) −1.27430 0.620708i −0.367860 0.179183i
\(13\) 1.45133 + 1.61187i 0.402527 + 0.447052i 0.909995 0.414619i \(-0.136085\pi\)
−0.507468 + 0.861671i \(0.669418\pi\)
\(14\) −3.69956 0.786365i −0.988748 0.210165i
\(15\) −3.84182 0.490296i −0.991955 0.126594i
\(16\) 1.65656 0.352114i 0.414141 0.0880284i
\(17\) −1.54674 1.12377i −0.375140 0.272555i 0.384199 0.923250i \(-0.374478\pi\)
−0.759339 + 0.650695i \(0.774478\pi\)
\(18\) 3.13570 + 0.895651i 0.739090 + 0.211107i
\(19\) −0.970198 0.704890i −0.222579 0.161713i 0.470908 0.882182i \(-0.343926\pi\)
−0.693487 + 0.720469i \(0.743926\pi\)
\(20\) −1.57349 + 0.934181i −0.351842 + 0.208889i
\(21\) −6.02291 0.207218i −1.31431 0.0452188i
\(22\) 0.399739 + 3.80326i 0.0852247 + 0.810859i
\(23\) −1.96627 0.417944i −0.409996 0.0871474i −0.00170377 0.999999i \(-0.500542\pi\)
−0.408293 + 0.912851i \(0.633876\pi\)
\(24\) 4.91898 1.99035i 1.00408 0.406278i
\(25\) −3.25418 + 3.79609i −0.650836 + 0.759219i
\(26\) −2.35776 −0.462394
\(27\) 5.16852 + 0.535160i 0.994682 + 0.102991i
\(28\) −2.30358 + 1.67365i −0.435336 + 0.316290i
\(29\) −3.26898 1.45544i −0.607035 0.270269i 0.0801144 0.996786i \(-0.474471\pi\)
−0.687149 + 0.726516i \(0.741138\pi\)
\(30\) 3.19049 2.74689i 0.582501 0.501511i
\(31\) 5.79773 2.58132i 1.04130 0.463618i 0.186437 0.982467i \(-0.440306\pi\)
0.854866 + 0.518849i \(0.173639\pi\)
\(32\) 2.14316 3.71207i 0.378862 0.656207i
\(33\) 1.68259 + 5.85649i 0.292901 + 1.01948i
\(34\) 2.03286 0.432098i 0.348633 0.0741042i
\(35\) −4.49607 + 6.34948i −0.759975 + 1.07326i
\(36\) 2.08068 1.30314i 0.346780 0.217189i
\(37\) 2.46324 7.58107i 0.404954 1.24632i −0.515980 0.856601i \(-0.672572\pi\)
0.920934 0.389719i \(-0.127428\pi\)
\(38\) 1.27512 0.271034i 0.206851 0.0439676i
\(39\) −3.69938 + 0.654265i −0.592375 + 0.104766i
\(40\) 1.34261 6.71767i 0.212285 1.06216i
\(41\) 1.73464 + 1.92652i 0.270906 + 0.300871i 0.863212 0.504842i \(-0.168449\pi\)
−0.592306 + 0.805713i \(0.701782\pi\)
\(42\) 4.54826 4.71472i 0.701812 0.727497i
\(43\) 5.34941 + 9.26545i 0.815778 + 1.41297i 0.908768 + 0.417301i \(0.137024\pi\)
−0.0929908 + 0.995667i \(0.529643\pi\)
\(44\) 2.32917 + 1.69224i 0.351135 + 0.255114i
\(45\) 4.24371 5.19528i 0.632615 0.774467i
\(46\) 1.76783 1.28440i 0.260652 0.189375i
\(47\) 11.9942 + 5.34016i 1.74953 + 0.778942i 0.992014 + 0.126128i \(0.0402549\pi\)
0.757518 + 0.652814i \(0.226412\pi\)
\(48\) −1.00185 + 2.75697i −0.144604 + 0.397934i
\(49\) −2.55306 + 4.42203i −0.364723 + 0.631718i
\(50\) −0.699589 5.38996i −0.0989369 0.762255i
\(51\) 3.06970 1.24208i 0.429845 0.173926i
\(52\) −1.18771 + 1.31909i −0.164706 + 0.182924i
\(53\) −11.2674 + 8.18624i −1.54770 + 1.12447i −0.602427 + 0.798174i \(0.705800\pi\)
−0.945269 + 0.326293i \(0.894200\pi\)
\(54\) −4.19173 + 3.78599i −0.570422 + 0.515208i
\(55\) 7.51058 + 2.33962i 1.01273 + 0.315474i
\(56\) 1.11423 10.6012i 0.148896 1.41665i
\(57\) 1.92548 0.779098i 0.255036 0.103194i
\(58\) 3.55349 1.58212i 0.466597 0.207742i
\(59\) −3.64544 4.04867i −0.474596 0.527092i 0.457545 0.889186i \(-0.348729\pi\)
−0.932142 + 0.362094i \(0.882062\pi\)
\(60\) 0.0704032 3.16871i 0.00908902 0.409078i
\(61\) 0.353232 0.392304i 0.0452268 0.0502294i −0.720107 0.693863i \(-0.755907\pi\)
0.765334 + 0.643634i \(0.222574\pi\)
\(62\) −2.13183 + 6.56111i −0.270743 + 0.833262i
\(63\) 5.82802 8.65963i 0.734262 1.09101i
\(64\) 2.48651 + 7.65270i 0.310814 + 0.956588i
\(65\) −1.91857 + 4.45438i −0.237970 + 0.552498i
\(66\) −5.95487 2.90059i −0.732993 0.357037i
\(67\) −9.83507 + 4.37885i −1.20154 + 0.534962i −0.907185 0.420732i \(-0.861773\pi\)
−0.294360 + 0.955695i \(0.595106\pi\)
\(68\) 0.782301 1.35499i 0.0948680 0.164316i
\(69\) 2.41735 2.50582i 0.291015 0.301665i
\(70\) −1.85897 8.25044i −0.222189 0.986116i
\(71\) 6.38098 4.63605i 0.757283 0.550198i −0.140793 0.990039i \(-0.544965\pi\)
0.898076 + 0.439841i \(0.144965\pi\)
\(72\) −1.58667 + 9.05296i −0.186990 + 1.06690i
\(73\) −2.75054 8.46529i −0.321926 0.990787i −0.972809 0.231609i \(-0.925601\pi\)
0.650883 0.759178i \(-0.274399\pi\)
\(74\) 4.33248 + 7.50408i 0.503641 + 0.872332i
\(75\) −2.59336 8.26284i −0.299455 0.954110i
\(76\) 0.490700 0.849917i 0.0562871 0.0974922i
\(77\) 11.9731 + 2.54496i 1.36446 + 0.290025i
\(78\) 2.16228 3.46434i 0.244830 0.392259i
\(79\) 6.17366 + 2.74869i 0.694591 + 0.309252i 0.723494 0.690330i \(-0.242535\pi\)
−0.0289032 + 0.999582i \(0.509201\pi\)
\(80\) 2.26305 + 3.03637i 0.253017 + 0.339477i
\(81\) −5.52633 + 7.10350i −0.614037 + 0.789278i
\(82\) −2.81801 −0.311197
\(83\) 0.372037 3.53969i 0.0408363 0.388532i −0.954946 0.296781i \(-0.904087\pi\)
0.995782 0.0917511i \(-0.0292464\pi\)
\(84\) −0.346560 4.91962i −0.0378128 0.536775i
\(85\) 0.837858 4.19218i 0.0908784 0.454706i
\(86\) −11.3758 2.41801i −1.22669 0.260741i
\(87\) 5.13649 3.46846i 0.550689 0.371857i
\(88\) −10.5425 + 2.24087i −1.12383 + 0.238878i
\(89\) 2.71707 + 8.36227i 0.288008 + 0.886399i 0.985481 + 0.169787i \(0.0543080\pi\)
−0.697472 + 0.716612i \(0.745692\pi\)
\(90\) 1.11013 + 7.20704i 0.117018 + 0.759689i
\(91\) −2.33207 + 7.17736i −0.244467 + 0.752392i
\(92\) 0.171956 1.63605i 0.0179277 0.170570i
\(93\) −1.52423 + 10.8861i −0.158055 + 1.12884i
\(94\) −13.0381 + 5.80493i −1.34478 + 0.598733i
\(95\) 0.525548 2.62956i 0.0539201 0.269787i
\(96\) 3.48880 + 6.55333i 0.356074 + 0.668846i
\(97\) −15.6914 6.98627i −1.59322 0.709348i −0.597511 0.801861i \(-0.703844\pi\)
−0.995712 + 0.0925124i \(0.970510\pi\)
\(98\) −1.71520 5.27886i −0.173262 0.533245i
\(99\) −10.1482 2.89865i −1.01994 0.291325i
\(100\) −3.36791 2.32377i −0.336791 0.232377i
\(101\) 4.67773 + 8.10206i 0.465451 + 0.806185i 0.999222 0.0394441i \(-0.0125587\pi\)
−0.533770 + 0.845629i \(0.679225\pi\)
\(102\) −1.22942 + 3.38323i −0.121731 + 0.334989i
\(103\) −0.837734 7.97051i −0.0825444 0.785358i −0.954988 0.296643i \(-0.904133\pi\)
0.872444 0.488714i \(-0.162534\pi\)
\(104\) −0.694592 6.60860i −0.0681104 0.648027i
\(105\) −5.20621 12.4293i −0.508075 1.21297i
\(106\) 1.58250 15.0565i 0.153706 1.46241i
\(107\) 5.04642 0.487855 0.243928 0.969793i \(-0.421564\pi\)
0.243928 + 0.969793i \(0.421564\pi\)
\(108\) 0.00657114 + 4.25231i 0.000632308 + 0.409179i
\(109\) −1.49707 + 4.60752i −0.143394 + 0.441320i −0.996801 0.0799245i \(-0.974532\pi\)
0.853407 + 0.521245i \(0.174532\pi\)
\(110\) −7.35295 + 4.36546i −0.701076 + 0.416230i
\(111\) 8.88012 + 10.5718i 0.842864 + 1.00344i
\(112\) 3.94291 + 4.37905i 0.372570 + 0.413781i
\(113\) 1.47427 + 1.63734i 0.138688 + 0.154028i 0.808487 0.588514i \(-0.200287\pi\)
−0.669800 + 0.742542i \(0.733620\pi\)
\(114\) −0.771157 + 2.12214i −0.0722254 + 0.198756i
\(115\) −0.988019 4.38501i −0.0921333 0.408905i
\(116\) 0.904916 2.78505i 0.0840193 0.258585i
\(117\) 2.43133 6.03565i 0.224777 0.557996i
\(118\) 5.92219 0.545182
\(119\) 0.695340 6.61572i 0.0637418 0.606462i
\(120\) 8.63922 + 8.13345i 0.788650 + 0.742479i
\(121\) −0.143885 1.36898i −0.0130805 0.124453i
\(122\) 0.0599828 + 0.570699i 0.00543059 + 0.0516686i
\(123\) −4.42152 + 0.781982i −0.398675 + 0.0705090i
\(124\) 2.59682 + 4.49782i 0.233201 + 0.403916i
\(125\) −10.7522 3.06426i −0.961708 0.274076i
\(126\) 2.75634 + 11.0067i 0.245554 + 0.980559i
\(127\) −5.91345 18.1997i −0.524734 1.61497i −0.764841 0.644219i \(-0.777182\pi\)
0.240106 0.970747i \(-0.422818\pi\)
\(128\) −0.159129 0.0708488i −0.0140652 0.00626221i
\(129\) −18.5199 0.637180i −1.63059 0.0561005i
\(130\) −2.20285 4.78984i −0.193202 0.420097i
\(131\) −7.04977 + 3.13876i −0.615941 + 0.274235i −0.690898 0.722952i \(-0.742785\pi\)
0.0749569 + 0.997187i \(0.476118\pi\)
\(132\) −4.62252 + 1.87039i −0.402339 + 0.162797i
\(133\) 0.436154 4.14972i 0.0378193 0.359827i
\(134\) 3.61637 11.1300i 0.312407 0.961488i
\(135\) 3.74174 + 11.0000i 0.322038 + 0.946727i
\(136\) 1.81001 + 5.57065i 0.155207 + 0.477679i
\(137\) −6.13544 + 1.30413i −0.524186 + 0.111419i −0.462402 0.886670i \(-0.653012\pi\)
−0.0617840 + 0.998090i \(0.519679\pi\)
\(138\) 0.265959 + 3.77544i 0.0226399 + 0.321387i
\(139\) 19.9459 + 4.23963i 1.69179 + 0.359601i 0.950293 0.311357i \(-0.100783\pi\)
0.741496 + 0.670958i \(0.234117\pi\)
\(140\) −5.55229 3.11609i −0.469254 0.263358i
\(141\) −18.8462 + 12.7261i −1.58714 + 1.07173i
\(142\) −0.896205 + 8.52682i −0.0752078 + 0.715555i
\(143\) 7.63054 0.638098
\(144\) −3.13213 4.00044i −0.261011 0.333370i
\(145\) −0.0974297 8.00083i −0.00809110 0.664433i
\(146\) 8.83911 + 3.93543i 0.731530 + 0.325698i
\(147\) −4.15605 7.80669i −0.342785 0.643885i
\(148\) 6.38075 + 1.35627i 0.524495 + 0.111485i
\(149\) −3.52387 + 6.10353i −0.288687 + 0.500021i −0.973497 0.228701i \(-0.926552\pi\)
0.684810 + 0.728722i \(0.259885\pi\)
\(150\) 8.56124 + 3.91514i 0.699022 + 0.319670i
\(151\) 0.0155849 + 0.0269939i 0.00126828 + 0.00219673i 0.866659 0.498901i \(-0.166263\pi\)
−0.865391 + 0.501098i \(0.832930\pi\)
\(152\) 1.13533 + 3.49420i 0.0920878 + 0.283417i
\(153\) −0.990164 + 5.64952i −0.0800500 + 0.456737i
\(154\) −10.7647 + 7.82102i −0.867445 + 0.630236i
\(155\) 10.6608 + 9.36651i 0.856297 + 0.752337i
\(156\) −0.848942 2.95487i −0.0679697 0.236579i
\(157\) −0.694083 + 1.20219i −0.0553938 + 0.0959450i −0.892393 0.451260i \(-0.850975\pi\)
0.836999 + 0.547205i \(0.184308\pi\)
\(158\) −6.71098 + 2.98792i −0.533897 + 0.237706i
\(159\) −1.69511 24.0631i −0.134431 1.90833i
\(160\) 9.54351 + 0.885714i 0.754481 + 0.0700219i
\(161\) −2.16135 6.65194i −0.170338 0.524246i
\(162\) −1.71870 9.63115i −0.135034 0.756695i
\(163\) 0.385069 1.18512i 0.0301609 0.0928258i −0.934843 0.355062i \(-0.884460\pi\)
0.965004 + 0.262236i \(0.0844598\pi\)
\(164\) −1.41956 + 1.57658i −0.110849 + 0.123110i
\(165\) −10.3256 + 8.88991i −0.803844 + 0.692079i
\(166\) 2.58884 + 2.87520i 0.200933 + 0.223159i
\(167\) 0.203316 0.0905220i 0.0157330 0.00700480i −0.398855 0.917014i \(-0.630592\pi\)
0.414588 + 0.910009i \(0.363926\pi\)
\(168\) 14.5549 + 11.3595i 1.12293 + 0.876401i
\(169\) 0.867117 8.25007i 0.0667013 0.634621i
\(170\) 2.77711 + 3.72610i 0.212995 + 0.285779i
\(171\) −0.621082 + 3.54368i −0.0474953 + 0.270992i
\(172\) −7.08332 + 5.14634i −0.540098 + 0.392404i
\(173\) 12.7920 14.2070i 0.972561 1.08014i −0.0241991 0.999707i \(-0.507704\pi\)
0.996760 0.0804313i \(-0.0256298\pi\)
\(174\) −0.934214 + 6.67222i −0.0708226 + 0.505819i
\(175\) −17.0998 3.20157i −1.29262 0.242016i
\(176\) 2.97902 5.15981i 0.224552 0.388935i
\(177\) 9.29206 1.64338i 0.698434 0.123524i
\(178\) −8.73154 3.88753i −0.654457 0.291383i
\(179\) 15.4208 11.2038i 1.15260 0.837415i 0.163778 0.986497i \(-0.447632\pi\)
0.988825 + 0.149082i \(0.0476320\pi\)
\(180\) 4.59132 + 3.00944i 0.342217 + 0.224310i
\(181\) 9.13951 + 6.64024i 0.679335 + 0.493565i 0.873137 0.487475i \(-0.162082\pi\)
−0.193802 + 0.981041i \(0.562082\pi\)
\(182\) −4.10177 7.10448i −0.304044 0.526619i
\(183\) 0.252480 + 0.878795i 0.0186639 + 0.0649624i
\(184\) 4.12088 + 4.57670i 0.303795 + 0.337398i
\(185\) 17.7025 2.07884i 1.30152 0.152840i
\(186\) −7.68538 9.14951i −0.563520 0.670874i
\(187\) −6.57906 + 1.39842i −0.481109 + 0.102263i
\(188\) −3.32022 + 10.2186i −0.242152 + 0.745266i
\(189\) 7.37907 + 16.5050i 0.536749 + 1.20056i
\(190\) 1.74195 + 2.33720i 0.126374 + 0.169559i
\(191\) 2.20315 0.468294i 0.159414 0.0338845i −0.127513 0.991837i \(-0.540699\pi\)
0.286927 + 0.957952i \(0.407366\pi\)
\(192\) −13.5247 3.36470i −0.976064 0.242826i
\(193\) 7.89562 13.6756i 0.568339 0.984393i −0.428391 0.903593i \(-0.640919\pi\)
0.996730 0.0807992i \(-0.0257472\pi\)
\(194\) 17.0571 7.59431i 1.22463 0.545240i
\(195\) −4.78547 6.90410i −0.342695 0.494413i
\(196\) −3.81737 1.69960i −0.272669 0.121400i
\(197\) 17.3982 12.6405i 1.23957 0.900601i 0.242001 0.970276i \(-0.422196\pi\)
0.997570 + 0.0696750i \(0.0221962\pi\)
\(198\) 9.72308 6.08959i 0.690989 0.432769i
\(199\) −17.1687 −1.21706 −0.608530 0.793531i \(-0.708240\pi\)
−0.608530 + 0.793531i \(0.708240\pi\)
\(200\) 14.9015 3.54877i 1.05370 0.250936i
\(201\) 2.58564 18.4668i 0.182377 1.30255i
\(202\) −9.94746 2.11440i −0.699901 0.148769i
\(203\) −1.30143 12.3822i −0.0913422 0.869063i
\(204\) 1.27349 + 2.39211i 0.0891619 + 0.167481i
\(205\) −2.29309 + 5.32391i −0.160157 + 0.371838i
\(206\) 7.04810 + 5.12075i 0.491065 + 0.356779i
\(207\) 1.46496 + 5.84996i 0.101822 + 0.406600i
\(208\) 2.97179 + 2.15913i 0.206056 + 0.149709i
\(209\) −4.12673 + 0.877164i −0.285452 + 0.0606747i
\(210\) 13.8275 + 4.83495i 0.954188 + 0.333643i
\(211\) 13.3645 + 2.84072i 0.920053 + 0.195563i 0.643510 0.765438i \(-0.277478\pi\)
0.276544 + 0.961001i \(0.410811\pi\)
\(212\) −7.62641 8.46999i −0.523784 0.581721i
\(213\) 0.959980 + 13.6275i 0.0657768 + 0.933740i
\(214\) −3.67060 + 4.07661i −0.250917 + 0.278672i
\(215\) −13.8250 + 19.5241i −0.942860 + 1.33154i
\(216\) −11.8467 10.6337i −0.806067 0.723533i
\(217\) 17.8644 + 12.9792i 1.21271 + 0.881088i
\(218\) −2.63314 4.56073i −0.178339 0.308892i
\(219\) 14.9608 + 3.72197i 1.01096 + 0.251508i
\(220\) −1.26169 + 6.31281i −0.0850631 + 0.425609i
\(221\) −0.433462 4.12412i −0.0291578 0.277418i
\(222\) −14.9993 0.516051i −1.00669 0.0346351i
\(223\) 14.6520 16.2727i 0.981169 1.08970i −0.0147900 0.999891i \(-0.504708\pi\)
0.995959 0.0898080i \(-0.0286253\pi\)
\(224\) 14.9138 0.996469
\(225\) 14.5192 + 3.76726i 0.967948 + 0.251151i
\(226\) −2.39502 −0.159314
\(227\) −17.3202 + 19.2360i −1.14958 + 1.27674i −0.194334 + 0.980935i \(0.562255\pi\)
−0.955248 + 0.295806i \(0.904412\pi\)
\(228\) 0.798797 + 1.50045i 0.0529016 + 0.0993700i
\(229\) −2.40196 22.8532i −0.158726 1.51018i −0.726598 0.687063i \(-0.758900\pi\)
0.567872 0.823117i \(-0.307767\pi\)
\(230\) 4.26097 + 2.39137i 0.280960 + 0.157682i
\(231\) −14.7198 + 15.2585i −0.968491 + 1.00394i
\(232\) 5.48140 + 9.49406i 0.359872 + 0.623316i
\(233\) −7.19284 5.22590i −0.471219 0.342360i 0.326697 0.945129i \(-0.394064\pi\)
−0.797916 + 0.602769i \(0.794064\pi\)
\(234\) 3.10727 + 6.35422i 0.203128 + 0.415388i
\(235\) 0.357478 + 29.3558i 0.0233193 + 1.91496i
\(236\) 2.98328 3.31327i 0.194195 0.215675i
\(237\) −9.70055 + 6.55038i −0.630119 + 0.425493i
\(238\) 4.83857 + 5.37377i 0.313638 + 0.348330i
\(239\) 5.06749 + 1.07713i 0.327788 + 0.0696736i 0.368867 0.929482i \(-0.379746\pi\)
−0.0410781 + 0.999156i \(0.513079\pi\)
\(240\) −6.53687 + 0.540552i −0.421953 + 0.0348925i
\(241\) 6.41203 1.36292i 0.413035 0.0877933i 0.00329255 0.999995i \(-0.498952\pi\)
0.409742 + 0.912201i \(0.365619\pi\)
\(242\) 1.21055 + 0.879516i 0.0778171 + 0.0565374i
\(243\) −5.36928 14.6346i −0.344439 0.938809i
\(244\) 0.349503 + 0.253929i 0.0223746 + 0.0162561i
\(245\) −11.3688 1.05511i −0.726324 0.0674087i
\(246\) 2.58437 4.14060i 0.164773 0.263995i
\(247\) −0.271890 2.58686i −0.0173000 0.164598i
\(248\) −19.0183 4.04246i −1.20766 0.256697i
\(249\) 4.85980 + 3.79287i 0.307978 + 0.240363i
\(250\) 10.2962 6.45705i 0.651189 0.408380i
\(251\) −7.14839 −0.451202 −0.225601 0.974220i \(-0.572435\pi\)
−0.225601 + 0.974220i \(0.572435\pi\)
\(252\) 7.54640 + 4.00252i 0.475378 + 0.252135i
\(253\) −5.72132 + 4.15678i −0.359696 + 0.261335i
\(254\) 19.0034 + 8.46087i 1.19238 + 0.530882i
\(255\) 5.39133 + 5.07571i 0.337618 + 0.317853i
\(256\) −14.5288 + 6.46862i −0.908048 + 0.404289i
\(257\) 2.06283 3.57292i 0.128676 0.222873i −0.794488 0.607280i \(-0.792261\pi\)
0.923164 + 0.384407i \(0.125594\pi\)
\(258\) 13.9855 14.4974i 0.870701 0.902567i
\(259\) 27.1288 5.76641i 1.68570 0.358307i
\(260\) −3.78943 1.18044i −0.235010 0.0732080i
\(261\) 0.385700 + 10.7281i 0.0238742 + 0.664053i
\(262\) 2.59221 7.97800i 0.160147 0.492883i
\(263\) −17.2609 + 3.66892i −1.06435 + 0.226235i −0.706623 0.707590i \(-0.749782\pi\)
−0.357730 + 0.933825i \(0.616449\pi\)
\(264\) 6.37581 17.5455i 0.392404 1.07985i
\(265\) −27.1576 15.2416i −1.66828 0.936284i
\(266\) 3.03500 + 3.37071i 0.186088 + 0.206671i
\(267\) −14.7788 3.67668i −0.904446 0.225009i
\(268\) −4.40515 7.62994i −0.269087 0.466073i
\(269\) −21.6298 15.7150i −1.31879 0.958158i −0.999946 0.0103508i \(-0.996705\pi\)
−0.318845 0.947807i \(-0.603295\pi\)
\(270\) −11.6077 4.97835i −0.706419 0.302973i
\(271\) 17.6749 12.8416i 1.07367 0.780069i 0.0971044 0.995274i \(-0.469042\pi\)
0.976569 + 0.215205i \(0.0690419\pi\)
\(272\) −2.95798 1.31698i −0.179354 0.0798534i
\(273\) −8.40724 10.0089i −0.508829 0.605765i
\(274\) 3.40921 5.90493i 0.205958 0.356730i
\(275\) 2.26412 + 17.4438i 0.136532 + 1.05190i
\(276\) 2.24621 + 1.75307i 0.135206 + 0.105522i
\(277\) −9.51723 + 10.5700i −0.571835 + 0.635087i −0.957803 0.287425i \(-0.907201\pi\)
0.385968 + 0.922512i \(0.373867\pi\)
\(278\) −17.9329 + 13.0290i −1.07554 + 0.781427i
\(279\) −14.5975 12.2231i −0.873929 0.731781i
\(280\) 22.5777 7.64110i 1.34927 0.456643i
\(281\) 0.750893 7.14427i 0.0447945 0.426192i −0.949026 0.315197i \(-0.897930\pi\)
0.993821 0.110995i \(-0.0354038\pi\)
\(282\) 3.42772 24.4810i 0.204117 1.45782i
\(283\) 12.3369 5.49275i 0.733353 0.326510i −0.00585864 0.999983i \(-0.501865\pi\)
0.739212 + 0.673473i \(0.235198\pi\)
\(284\) 4.31901 + 4.79675i 0.256286 + 0.284635i
\(285\) 3.38172 + 3.18375i 0.200316 + 0.188589i
\(286\) −5.55021 + 6.16413i −0.328191 + 0.364493i
\(287\) −2.78730 + 8.57843i −0.164529 + 0.506369i
\(288\) −12.8286 0.883782i −0.755931 0.0520774i
\(289\) −4.12374 12.6916i −0.242573 0.746564i
\(290\) 6.53413 + 5.74084i 0.383697 + 0.337114i
\(291\) 24.6556 16.6489i 1.44534 0.975977i
\(292\) 6.65441 2.96273i 0.389420 0.173381i
\(293\) −0.157560 + 0.272902i −0.00920475 + 0.0159431i −0.870591 0.492007i \(-0.836263\pi\)
0.861386 + 0.507950i \(0.169597\pi\)
\(294\) 9.32941 + 2.32098i 0.544102 + 0.135362i
\(295\) 4.81905 11.1885i 0.280576 0.651418i
\(296\) −19.7570 + 14.3543i −1.14835 + 0.834327i
\(297\) 13.5659 12.2528i 0.787175 0.710981i
\(298\) −2.36742 7.28617i −0.137141 0.422077i
\(299\) −2.18005 3.77595i −0.126075 0.218369i
\(300\) 6.50308 2.81749i 0.375455 0.162668i
\(301\) −18.6127 + 32.2381i −1.07282 + 1.85817i
\(302\) −0.0331423 0.00704461i −0.00190712 0.000405372i
\(303\) −16.1945 0.557174i −0.930352 0.0320088i
\(304\) −1.85540 0.826076i −0.106414 0.0473787i
\(305\) 1.12700 + 0.351071i 0.0645318 + 0.0201023i
\(306\) −3.84360 4.90916i −0.219724 0.280638i
\(307\) −8.35636 −0.476923 −0.238461 0.971152i \(-0.576643\pi\)
−0.238461 + 0.971152i \(0.576643\pi\)
\(308\) −1.04708 + 9.96230i −0.0596629 + 0.567655i
\(309\) 12.4796 + 6.07876i 0.709941 + 0.345809i
\(310\) −15.3208 + 1.79915i −0.870164 + 0.102185i
\(311\) −19.9820 4.24731i −1.13308 0.240843i −0.397050 0.917797i \(-0.629966\pi\)
−0.736025 + 0.676954i \(0.763299\pi\)
\(312\) 10.3473 + 5.04010i 0.585798 + 0.285339i
\(313\) −15.4110 + 3.27572i −0.871083 + 0.185154i −0.621705 0.783252i \(-0.713560\pi\)
−0.249378 + 0.968406i \(0.580226\pi\)
\(314\) −0.466301 1.43513i −0.0263149 0.0809889i
\(315\) 23.0373 + 3.74910i 1.29801 + 0.211238i
\(316\) −1.70899 + 5.25972i −0.0961380 + 0.295882i
\(317\) −1.33731 + 12.7236i −0.0751108 + 0.714631i 0.890561 + 0.454865i \(0.150312\pi\)
−0.965671 + 0.259767i \(0.916354\pi\)
\(318\) 20.6717 + 16.1334i 1.15921 + 0.904714i
\(319\) −11.5004 + 5.12029i −0.643897 + 0.286681i
\(320\) −13.2235 + 12.2013i −0.739217 + 0.682074i
\(321\) −4.62802 + 7.41488i −0.258311 + 0.413858i
\(322\) 6.94568 + 3.09242i 0.387068 + 0.172334i
\(323\) 0.708509 + 2.18057i 0.0394225 + 0.121330i
\(324\) −6.25409 3.89010i −0.347450 0.216116i
\(325\) −10.8417 + 0.264088i −0.601389 + 0.0146489i
\(326\) 0.677282 + 1.17309i 0.0375112 + 0.0649712i
\(327\) −5.39704 6.42521i −0.298457 0.355315i
\(328\) −0.830181 7.89865i −0.0458391 0.436130i
\(329\) 4.77505 + 45.4315i 0.263257 + 2.50472i
\(330\) 0.328997 14.8075i 0.0181107 0.815124i
\(331\) −2.62711 + 24.9953i −0.144399 + 1.37386i 0.646965 + 0.762519i \(0.276038\pi\)
−0.791364 + 0.611345i \(0.790629\pi\)
\(332\) 2.91269 0.159855
\(333\) −23.6775 + 3.35253i −1.29752 + 0.183717i
\(334\) −0.0747594 + 0.230086i −0.00409065 + 0.0125897i
\(335\) −18.0846 15.8890i −0.988068 0.868110i
\(336\) −10.0503 + 1.77748i −0.548289 + 0.0969693i
\(337\) 12.6373 + 14.0351i 0.688396 + 0.764541i 0.981484 0.191545i \(-0.0613497\pi\)
−0.293088 + 0.956085i \(0.594683\pi\)
\(338\) 6.03388 + 6.70131i 0.328200 + 0.364503i
\(339\) −3.75784 + 0.664605i −0.204098 + 0.0360964i
\(340\) 3.48359 + 0.323305i 0.188924 + 0.0175337i
\(341\) 6.89937 21.2341i 0.373622 1.14989i
\(342\) −2.41091 3.07928i −0.130367 0.166508i
\(343\) 6.58955 0.355802
\(344\) 3.42618 32.5979i 0.184727 1.75756i
\(345\) 7.34916 + 2.56972i 0.395665 + 0.138349i
\(346\) 2.17223 + 20.6674i 0.116780 + 1.11109i
\(347\) 2.94999 + 28.0672i 0.158364 + 1.50673i 0.728424 + 0.685126i \(0.240253\pi\)
−0.570061 + 0.821603i \(0.693080\pi\)
\(348\) 3.26227 + 3.88376i 0.174876 + 0.208192i
\(349\) 10.1548 + 17.5887i 0.543575 + 0.941500i 0.998695 + 0.0510695i \(0.0162630\pi\)
−0.455120 + 0.890430i \(0.650404\pi\)
\(350\) 15.0241 11.4849i 0.803074 0.613893i
\(351\) 6.63864 + 9.10767i 0.354344 + 0.486132i
\(352\) −4.65980 14.3414i −0.248368 0.764398i
\(353\) 8.23808 + 3.66783i 0.438469 + 0.195219i 0.614085 0.789240i \(-0.289525\pi\)
−0.175616 + 0.984459i \(0.556192\pi\)
\(354\) −5.43118 + 8.70168i −0.288664 + 0.462489i
\(355\) 15.3800 + 8.63166i 0.816285 + 0.458121i
\(356\) −6.57342 + 2.92668i −0.348391 + 0.155113i
\(357\) 9.08302 + 7.08890i 0.480725 + 0.375185i
\(358\) −2.16584 + 20.6066i −0.114468 + 1.08909i
\(359\) 2.84427 8.75376i 0.150115 0.462006i −0.847518 0.530766i \(-0.821904\pi\)
0.997633 + 0.0687601i \(0.0219043\pi\)
\(360\) −19.8737 + 5.23480i −1.04744 + 0.275898i
\(361\) −5.42691 16.7023i −0.285627 0.879069i
\(362\) −12.0119 + 2.55321i −0.631333 + 0.134194i
\(363\) 2.14344 + 1.04406i 0.112502 + 0.0547990i
\(364\) −6.04097 1.28405i −0.316633 0.0673024i
\(365\) 14.6276 13.4969i 0.765645 0.706459i
\(366\) −0.893557 0.435247i −0.0467070 0.0227507i
\(367\) 1.99047 18.9381i 0.103902 0.988558i −0.811045 0.584984i \(-0.801101\pi\)
0.914947 0.403575i \(-0.132232\pi\)
\(368\) −3.40442 −0.177468
\(369\) 2.90594 7.21385i 0.151277 0.375538i
\(370\) −11.1969 + 15.8126i −0.582099 + 0.822057i
\(371\) −44.2689 19.7098i −2.29833 1.02328i
\(372\) −8.99032 0.309312i −0.466126 0.0160371i
\(373\) −4.19359 0.891374i −0.217136 0.0461536i 0.0980592 0.995181i \(-0.468737\pi\)
−0.315195 + 0.949027i \(0.602070\pi\)
\(374\) 3.65572 6.33189i 0.189033 0.327414i
\(375\) 14.3632 12.9884i 0.741712 0.670719i
\(376\) −20.1117 34.8346i −1.03718 1.79646i
\(377\) −2.39840 7.38151i −0.123524 0.380167i
\(378\) −18.7004 6.04420i −0.961845 0.310880i
\(379\) −7.81297 + 5.67645i −0.401325 + 0.291580i −0.770081 0.637947i \(-0.779784\pi\)
0.368755 + 0.929526i \(0.379784\pi\)
\(380\) 2.18509 + 0.202794i 0.112093 + 0.0104031i
\(381\) 32.1647 + 8.00196i 1.64785 + 0.409953i
\(382\) −1.22420 + 2.12038i −0.0626355 + 0.108488i
\(383\) 8.53168 3.79855i 0.435948 0.194097i −0.177015 0.984208i \(-0.556644\pi\)
0.612963 + 0.790111i \(0.289977\pi\)
\(384\) 0.250036 0.168839i 0.0127596 0.00861604i
\(385\) 6.01627 + 26.7014i 0.306618 + 1.36083i
\(386\) 5.30447 + 16.3255i 0.269990 + 0.830944i
\(387\) 17.9207 26.6277i 0.910960 1.35356i
\(388\) 4.34368 13.3685i 0.220517 0.678682i
\(389\) −17.3886 + 19.3120i −0.881638 + 0.979158i −0.999904 0.0138240i \(-0.995600\pi\)
0.118267 + 0.992982i \(0.462266\pi\)
\(390\) 9.05809 + 1.15600i 0.458674 + 0.0585363i
\(391\) 2.57164 + 2.85610i 0.130054 + 0.144439i
\(392\) 14.2909 6.36272i 0.721800 0.321366i
\(393\) 1.85339 13.2370i 0.0934910 0.667718i
\(394\) −2.44357 + 23.2490i −0.123105 + 1.17127i
\(395\) 0.184002 + 15.1100i 0.00925812 + 0.760268i
\(396\) 1.49104 8.50735i 0.0749276 0.427510i
\(397\) 10.9374 7.94651i 0.548934 0.398824i −0.278458 0.960448i \(-0.589823\pi\)
0.827392 + 0.561624i \(0.189823\pi\)
\(398\) 12.4880 13.8693i 0.625966 0.695205i
\(399\) 5.69734 + 4.44653i 0.285224 + 0.222605i
\(400\) −4.05410 + 7.43431i −0.202705 + 0.371716i
\(401\) 3.70665 6.42010i 0.185101 0.320604i −0.758509 0.651662i \(-0.774072\pi\)
0.943611 + 0.331057i \(0.107405\pi\)
\(402\) 13.0372 + 15.5209i 0.650237 + 0.774112i
\(403\) 12.5752 + 5.59883i 0.626415 + 0.278898i
\(404\) −6.19393 + 4.50015i −0.308159 + 0.223891i
\(405\) −19.5942 4.59009i −0.973642 0.228083i
\(406\) 10.9493 + 7.95511i 0.543403 + 0.394806i
\(407\) −14.0215 24.2859i −0.695018 1.20381i
\(408\) −9.84510 2.44927i −0.487405 0.121257i
\(409\) 7.17339 + 7.96686i 0.354701 + 0.393936i 0.893917 0.448232i \(-0.147946\pi\)
−0.539216 + 0.842167i \(0.681279\pi\)
\(410\) −2.63286 5.72485i −0.130027 0.282730i
\(411\) 3.71055 10.2110i 0.183028 0.503673i
\(412\) 6.41534 1.36362i 0.316061 0.0671809i
\(413\) 5.85766 18.0280i 0.288237 0.887101i
\(414\) −5.79130 3.07164i −0.284627 0.150963i
\(415\) 7.53857 2.55132i 0.370054 0.125240i
\(416\) 9.09382 1.93295i 0.445861 0.0947707i
\(417\) −24.5216 + 25.4191i −1.20083 + 1.24478i
\(418\) 2.29306 3.97169i 0.112157 0.194262i
\(419\) −10.9245 + 4.86390i −0.533697 + 0.237617i −0.655846 0.754895i \(-0.727688\pi\)
0.122149 + 0.992512i \(0.461021\pi\)
\(420\) 9.67054 5.30043i 0.471874 0.258635i
\(421\) −8.07815 3.59663i −0.393705 0.175289i 0.200329 0.979729i \(-0.435799\pi\)
−0.594034 + 0.804440i \(0.702466\pi\)
\(422\) −12.0157 + 8.72994i −0.584917 + 0.424967i
\(423\) −1.41517 39.3624i −0.0688078 1.91386i
\(424\) 42.6683 2.07215
\(425\) 9.29933 2.21462i 0.451084 0.107425i
\(426\) −11.7069 9.13669i −0.567199 0.442674i
\(427\) 1.79662 + 0.381884i 0.0869446 + 0.0184806i
\(428\) 0.431679 + 4.10715i 0.0208660 + 0.198527i
\(429\) −6.99790 + 11.2118i −0.337862 + 0.541312i
\(430\) −5.71617 25.3694i −0.275658 1.22342i
\(431\) −2.85794 2.07642i −0.137662 0.100017i 0.516823 0.856092i \(-0.327115\pi\)
−0.654485 + 0.756075i \(0.727115\pi\)
\(432\) 8.75042 0.933380i 0.421005 0.0449073i
\(433\) −2.00164 1.45427i −0.0961924 0.0698879i 0.538649 0.842530i \(-0.318935\pi\)
−0.634842 + 0.772642i \(0.718935\pi\)
\(434\) −23.4789 + 4.99059i −1.12702 + 0.239556i
\(435\) 11.8453 + 7.19433i 0.567937 + 0.344942i
\(436\) −3.87801 0.824296i −0.185723 0.0394766i
\(437\) 1.61307 + 1.79149i 0.0771635 + 0.0856988i
\(438\) −13.8887 + 9.37848i −0.663629 + 0.448121i
\(439\) −5.56157 + 6.17675i −0.265439 + 0.294800i −0.861100 0.508436i \(-0.830224\pi\)
0.595660 + 0.803236i \(0.296890\pi\)
\(440\) −14.4022 19.3237i −0.686598 0.921219i
\(441\) 15.2821 + 1.05281i 0.727720 + 0.0501338i
\(442\) 3.64685 + 2.64959i 0.173463 + 0.126028i
\(443\) 11.6123 + 20.1132i 0.551719 + 0.955606i 0.998151 + 0.0607879i \(0.0193613\pi\)
−0.446432 + 0.894818i \(0.647305\pi\)
\(444\) −7.84455 + 8.13164i −0.372286 + 0.385911i
\(445\) −14.4496 + 13.3326i −0.684977 + 0.632027i
\(446\) 2.48807 + 23.6724i 0.117814 + 1.12092i
\(447\) −5.73642 10.7752i −0.271323 0.509651i
\(448\) −18.7336 + 20.8058i −0.885081 + 0.982982i
\(449\) 18.8212 0.888227 0.444114 0.895970i \(-0.353519\pi\)
0.444114 + 0.895970i \(0.353519\pi\)
\(450\) −13.6041 + 8.98878i −0.641303 + 0.423735i
\(451\) 9.12008 0.429448
\(452\) −1.20648 + 1.33993i −0.0567481 + 0.0630251i
\(453\) −0.0539559 0.00185636i −0.00253507 8.72192e-5i
\(454\) −2.94117 27.9833i −0.138036 1.31332i
\(455\) −16.7598 + 1.96814i −0.785713 + 0.0922678i
\(456\) −6.17536 1.53631i −0.289188 0.0719444i
\(457\) −1.31514 2.27788i −0.0615194 0.106555i 0.833625 0.552330i \(-0.186261\pi\)
−0.895145 + 0.445776i \(0.852928\pi\)
\(458\) 20.2084 + 14.6823i 0.944278 + 0.686058i
\(459\) −7.39297 6.63601i −0.345074 0.309742i
\(460\) 3.48434 1.17923i 0.162458 0.0549817i
\(461\) −13.0570 + 14.5013i −0.608126 + 0.675392i −0.966049 0.258359i \(-0.916818\pi\)
0.357923 + 0.933751i \(0.383485\pi\)
\(462\) −1.61949 22.9895i −0.0753453 1.06957i
\(463\) 1.02652 + 1.14007i 0.0477065 + 0.0529834i 0.766526 0.642214i \(-0.221984\pi\)
−0.718819 + 0.695197i \(0.755317\pi\)
\(464\) −5.92776 1.25998i −0.275189 0.0584933i
\(465\) −23.5395 + 7.07436i −1.09162 + 0.328066i
\(466\) 9.45344 2.00939i 0.437922 0.0930833i
\(467\) −5.25538 3.81826i −0.243190 0.176688i 0.459513 0.888171i \(-0.348024\pi\)
−0.702703 + 0.711483i \(0.748024\pi\)
\(468\) 5.12024 + 1.46250i 0.236683 + 0.0676041i
\(469\) −30.3045 22.0175i −1.39933 1.01667i
\(470\) −23.9743 21.0637i −1.10585 0.971594i
\(471\) −1.12988 2.12235i −0.0520621 0.0977929i
\(472\) 1.74467 + 16.5994i 0.0803049 + 0.764050i
\(473\) 36.8163 + 7.82554i 1.69281 + 0.359819i
\(474\) 1.76432 12.6009i 0.0810378 0.578777i
\(475\) 5.83302 1.38912i 0.267637 0.0637373i
\(476\) 5.44385 0.249519
\(477\) 36.9113 + 19.5774i 1.69005 + 0.896385i
\(478\) −4.55605 + 3.31017i −0.208389 + 0.151403i
\(479\) 5.00312 + 2.22753i 0.228598 + 0.101779i 0.517840 0.855478i \(-0.326736\pi\)
−0.289241 + 0.957256i \(0.593403\pi\)
\(480\) −10.0537 + 13.2103i −0.458885 + 0.602966i
\(481\) 15.7947 7.03224i 0.720175 0.320643i
\(482\) −3.56290 + 6.17113i −0.162286 + 0.281087i
\(483\) 11.7561 + 2.92469i 0.534920 + 0.133078i
\(484\) 1.10187 0.234209i 0.0500850 0.0106459i
\(485\) −0.467672 38.4047i −0.0212359 1.74387i
\(486\) 15.7276 + 6.30729i 0.713418 + 0.286104i
\(487\) −10.8960 + 33.5344i −0.493744 + 1.51959i 0.325162 + 0.945658i \(0.394581\pi\)
−0.818905 + 0.573929i \(0.805419\pi\)
\(488\) −1.58195 + 0.336254i −0.0716116 + 0.0152215i
\(489\) 1.38820 + 1.65266i 0.0627764 + 0.0747358i
\(490\) 9.12161 8.41650i 0.412072 0.380219i
\(491\) 1.91440 + 2.12616i 0.0863958 + 0.0959523i 0.784792 0.619759i \(-0.212769\pi\)
−0.698397 + 0.715711i \(0.746103\pi\)
\(492\) −1.01466 3.53168i −0.0457444 0.159220i
\(493\) 3.42068 + 5.92480i 0.154060 + 0.266839i
\(494\) 2.28749 + 1.66196i 0.102919 + 0.0747751i
\(495\) −3.59279 23.3246i −0.161484 1.04836i
\(496\) 8.69540 6.31758i 0.390435 0.283668i
\(497\) 25.0705 + 11.1621i 1.12456 + 0.500688i
\(498\) −6.59883 + 1.16706i −0.295701 + 0.0522971i
\(499\) 18.3438 31.7725i 0.821183 1.42233i −0.0836188 0.996498i \(-0.526648\pi\)
0.904802 0.425833i \(-0.140019\pi\)
\(500\) 1.57416 9.01309i 0.0703987 0.403078i
\(501\) −0.0534517 + 0.381756i −0.00238805 + 0.0170556i
\(502\) 5.19950 5.77463i 0.232065 0.257734i
\(503\) 14.2611 10.3613i 0.635873 0.461989i −0.222557 0.974920i \(-0.571440\pi\)
0.858430 + 0.512931i \(0.171440\pi\)
\(504\) −30.0390 + 10.9684i −1.33804 + 0.488570i
\(505\) −12.0891 + 17.0726i −0.537960 + 0.759723i
\(506\) 0.803556 7.64533i 0.0357224 0.339876i
\(507\) 11.3269 + 8.84014i 0.503045 + 0.392604i
\(508\) 14.3065 6.36965i 0.634747 0.282608i
\(509\) −10.0917 11.2080i −0.447306 0.496784i 0.476751 0.879038i \(-0.341814\pi\)
−0.924057 + 0.382255i \(0.875148\pi\)
\(510\) −8.02175 + 0.663341i −0.355209 + 0.0293733i
\(511\) 20.7228 23.0150i 0.916724 1.01812i
\(512\) 5.44990 16.7731i 0.240854 0.741272i
\(513\) −4.63726 4.16245i −0.204740 0.183777i
\(514\) 1.38585 + 4.26522i 0.0611274 + 0.188131i
\(515\) 15.4096 9.14870i 0.679028 0.403140i
\(516\) −1.06564 15.1274i −0.0469123 0.665948i
\(517\) 42.1959 18.7868i 1.85577 0.826243i
\(518\) −15.0744 + 26.1096i −0.662330 + 1.14719i
\(519\) 9.14339 + 31.8249i 0.401350 + 1.39696i
\(520\) 12.7766 7.58548i 0.560290 0.332645i
\(521\) 29.3467 21.3216i 1.28570 0.934118i 0.285994 0.958231i \(-0.407676\pi\)
0.999709 + 0.0241133i \(0.00767623\pi\)
\(522\) −8.94696 7.49170i −0.391598 0.327903i
\(523\) −2.83321 8.71972i −0.123888 0.381287i 0.869809 0.493388i \(-0.164242\pi\)
−0.993697 + 0.112102i \(0.964242\pi\)
\(524\) −3.15761 5.46914i −0.137941 0.238920i
\(525\) 20.3862 22.1892i 0.889728 0.968416i
\(526\) 9.59118 16.6124i 0.418195 0.724336i
\(527\) −11.8684 2.52271i −0.516996 0.109891i
\(528\) 4.84946 + 9.10919i 0.211046 + 0.396427i
\(529\) −17.3200 7.71136i −0.753043 0.335276i
\(530\) 32.0661 10.8523i 1.39286 0.471395i
\(531\) −6.10699 + 15.1603i −0.265021 + 0.657900i
\(532\) 3.41467 0.148045
\(533\) −0.587747 + 5.59204i −0.0254581 + 0.242218i
\(534\) 13.7197 9.26434i 0.593709 0.400907i
\(535\) 4.71485 + 10.2519i 0.203841 + 0.443229i
\(536\) 32.2620 + 6.85749i 1.39350 + 0.296198i
\(537\) 2.31996 + 32.9332i 0.100114 + 1.42117i
\(538\) 28.4277 6.04249i 1.22561 0.260510i
\(539\) 5.55101 + 17.0843i 0.239099 + 0.735871i
\(540\) −8.63253 + 3.98627i −0.371485 + 0.171542i
\(541\) −4.66886 + 14.3693i −0.200730 + 0.617784i 0.799132 + 0.601156i \(0.205293\pi\)
−0.999862 + 0.0166277i \(0.994707\pi\)
\(542\) −2.48243 + 23.6187i −0.106629 + 1.01451i
\(543\) −18.1385 + 7.33930i −0.778398 + 0.314960i
\(544\) −7.48645 + 3.33318i −0.320979 + 0.142909i
\(545\) −10.7590 + 1.26345i −0.460865 + 0.0541202i
\(546\) 14.2006 + 0.488571i 0.607728 + 0.0209089i
\(547\) −35.3098 15.7209i −1.50974 0.672178i −0.525785 0.850617i \(-0.676229\pi\)
−0.983951 + 0.178439i \(0.942895\pi\)
\(548\) −1.58623 4.88193i −0.0677606 0.208546i
\(549\) −1.52279 0.434956i −0.0649912 0.0185635i
\(550\) −15.7384 10.8591i −0.671086 0.463032i
\(551\) 2.14563 + 3.71634i 0.0914069 + 0.158321i
\(552\) −10.5039 + 1.85770i −0.447076 + 0.0790691i
\(553\) 2.45782 + 23.3846i 0.104517 + 0.994413i
\(554\) −1.61613 15.3765i −0.0686629 0.653284i
\(555\) −13.1803 + 27.9174i −0.559472 + 1.18503i
\(556\) −1.74432 + 16.5961i −0.0739758 + 0.703833i
\(557\) −16.9105 −0.716522 −0.358261 0.933621i \(-0.616630\pi\)
−0.358261 + 0.933621i \(0.616630\pi\)
\(558\) 20.4919 2.90148i 0.867490 0.122829i
\(559\) −7.17092 + 22.0698i −0.303297 + 0.933453i
\(560\) −5.21229 + 12.1015i −0.220259 + 0.511380i
\(561\) 3.97884 10.9493i 0.167987 0.462281i
\(562\) 5.22514 + 5.80310i 0.220409 + 0.244789i
\(563\) −15.1527 16.8287i −0.638609 0.709247i 0.333770 0.942654i \(-0.391679\pi\)
−0.972379 + 0.233408i \(0.925012\pi\)
\(564\) −11.9696 14.2499i −0.504010 0.600028i
\(565\) −1.94889 + 4.52478i −0.0819906 + 0.190359i
\(566\) −4.53630 + 13.9613i −0.190675 + 0.586837i
\(567\) −31.0186 4.29423i −1.30266 0.180341i
\(568\) −24.1640 −1.01390
\(569\) 1.87892 17.8767i 0.0787683 0.749431i −0.881844 0.471540i \(-0.843698\pi\)
0.960613 0.277890i \(-0.0896352\pi\)
\(570\) −5.03166 + 0.416082i −0.210753 + 0.0174278i
\(571\) 1.55774 + 14.8209i 0.0651893 + 0.620235i 0.977529 + 0.210801i \(0.0676071\pi\)
−0.912340 + 0.409434i \(0.865726\pi\)
\(572\) 0.652730 + 6.21031i 0.0272920 + 0.259666i
\(573\) −1.33241 + 3.66663i −0.0556620 + 0.153176i
\(574\) −4.90247 8.49132i −0.204625 0.354421i
\(575\) 7.98516 6.10409i 0.333004 0.254558i
\(576\) 17.3473 16.7866i 0.722803 0.699444i
\(577\) −7.48625 23.0403i −0.311657 0.959181i −0.977109 0.212740i \(-0.931761\pi\)
0.665452 0.746441i \(-0.268239\pi\)
\(578\) 13.2520 + 5.90018i 0.551212 + 0.245415i
\(579\) 12.8531 + 24.1431i 0.534155 + 1.00335i
\(580\) 6.50335 0.763701i 0.270037 0.0317109i
\(581\) 11.3132 5.03694i 0.469349 0.208968i
\(582\) −4.48432 + 32.0273i −0.185881 + 1.32757i
\(583\) −5.12153 + 48.7281i −0.212112 + 2.01811i
\(584\) −8.42669 + 25.9347i −0.348699 + 1.07319i
\(585\) 14.5331 0.699783i 0.600872 0.0289324i
\(586\) −0.105852 0.325780i −0.00437272 0.0134579i
\(587\) 9.91962 2.10848i 0.409426 0.0870263i 0.00140582 0.999999i \(-0.499553\pi\)
0.408021 + 0.912973i \(0.366219\pi\)
\(588\) 5.99816 4.05031i 0.247360 0.167032i
\(589\) −7.44449 1.58238i −0.306745 0.0652006i
\(590\) 5.53308 + 12.0311i 0.227793 + 0.495311i
\(591\) 2.61746 + 37.1563i 0.107668 + 1.52841i
\(592\) 1.41112 13.4259i 0.0579965 0.551800i
\(593\) 28.7337 1.17995 0.589975 0.807422i \(-0.299138\pi\)
0.589975 + 0.807422i \(0.299138\pi\)
\(594\) 0.0307071 + 19.8712i 0.00125993 + 0.815324i
\(595\) 14.0897 4.76845i 0.577619 0.195487i
\(596\) −5.26895 2.34589i −0.215825 0.0960913i
\(597\) 15.7453 25.2266i 0.644412 1.03246i
\(598\) 4.63600 + 0.985411i 0.189580 + 0.0402965i
\(599\) −0.738992 + 1.27997i −0.0301944 + 0.0522982i −0.880728 0.473623i \(-0.842946\pi\)
0.850533 + 0.525921i \(0.176279\pi\)
\(600\) −8.45170 + 25.1498i −0.345039 + 1.02674i
\(601\) −9.97465 17.2766i −0.406874 0.704727i 0.587663 0.809106i \(-0.300048\pi\)
−0.994538 + 0.104378i \(0.966715\pi\)
\(602\) −12.5044 38.4847i −0.509642 1.56852i
\(603\) 24.7627 + 20.7349i 1.00841 + 0.844391i
\(604\) −0.0206365 + 0.0149933i −0.000839688 + 0.000610069i
\(605\) 2.64668 1.57134i 0.107603 0.0638840i
\(606\) 12.2295 12.6771i 0.496789 0.514970i
\(607\) −11.5351 + 19.9793i −0.468194 + 0.810935i −0.999339 0.0363452i \(-0.988428\pi\)
0.531146 + 0.847281i \(0.321762\pi\)
\(608\) −4.69589 + 2.09075i −0.190444 + 0.0847910i
\(609\) 19.3872 + 9.44340i 0.785608 + 0.382666i
\(610\) −1.10335 + 0.655059i −0.0446732 + 0.0265225i
\(611\) 8.79993 + 27.0834i 0.356007 + 1.09568i
\(612\) −4.68271 0.322599i −0.189287 0.0130403i
\(613\) −7.36834 + 22.6774i −0.297605 + 0.915932i 0.684730 + 0.728797i \(0.259920\pi\)
−0.982334 + 0.187135i \(0.940080\pi\)
\(614\) 6.07815 6.75047i 0.245294 0.272427i
\(615\) −5.71963 8.25183i −0.230638 0.332746i
\(616\) −25.0929 27.8685i −1.01102 1.12286i
\(617\) 0.814192 0.362502i 0.0327782 0.0145938i −0.390282 0.920695i \(-0.627623\pi\)
0.423060 + 0.906102i \(0.360956\pi\)
\(618\) −13.9878 + 5.65984i −0.562673 + 0.227672i
\(619\) 0.0314900 0.299608i 0.00126569 0.0120422i −0.993871 0.110548i \(-0.964740\pi\)
0.995137 + 0.0985054i \(0.0314062\pi\)
\(620\) −6.71123 + 9.47780i −0.269529 + 0.380638i
\(621\) −9.93906 3.21242i −0.398841 0.128910i
\(622\) 17.9653 13.0526i 0.720344 0.523361i
\(623\) −20.4706 + 22.7349i −0.820138 + 0.910856i
\(624\) −5.89788 + 2.38643i −0.236104 + 0.0955338i
\(625\) −3.82065 24.7063i −0.152826 0.988253i
\(626\) 8.56328 14.8320i 0.342258 0.592808i
\(627\) 2.49574 6.86799i 0.0996702 0.274281i
\(628\) −1.03780 0.462060i −0.0414129 0.0184382i
\(629\) −12.3294 + 8.95784i −0.491606 + 0.357173i
\(630\) −19.7852 + 15.8831i −0.788262 + 0.632799i
\(631\) −11.5670 8.40394i −0.460476 0.334556i 0.333242 0.942841i \(-0.391857\pi\)
−0.793718 + 0.608286i \(0.791857\pi\)
\(632\) −10.3519 17.9301i −0.411778 0.713221i
\(633\) −16.4305 + 17.0318i −0.653052 + 0.676953i
\(634\) −9.30574 10.3351i −0.369578 0.410458i
\(635\) 31.4483 29.0173i 1.24799 1.15152i
\(636\) 19.4394 3.43801i 0.770821 0.136326i
\(637\) −10.8331 + 2.30264i −0.429222 + 0.0912339i
\(638\) 4.22870 13.0146i 0.167416 0.515253i
\(639\) −20.9037 11.0871i −0.826939 0.438599i
\(640\) −0.00474273 0.389468i −0.000187473 0.0153951i
\(641\) −1.18274 + 0.251398i −0.0467152 + 0.00992963i −0.231210 0.972904i \(-0.574268\pi\)
0.184495 + 0.982833i \(0.440935\pi\)
\(642\) −2.62364 9.13196i −0.103547 0.360410i
\(643\) −12.3127 + 21.3262i −0.485566 + 0.841025i −0.999862 0.0165876i \(-0.994720\pi\)
0.514297 + 0.857612i \(0.328053\pi\)
\(644\) 5.22896 2.32808i 0.206050 0.0917394i
\(645\) −16.0087 38.2190i −0.630341 1.50487i
\(646\) −2.27686 1.01372i −0.0895818 0.0398844i
\(647\) 5.45922 3.96635i 0.214624 0.155933i −0.475279 0.879835i \(-0.657653\pi\)
0.689903 + 0.723901i \(0.257653\pi\)
\(648\) 26.4890 7.65470i 1.04059 0.300705i
\(649\) −19.1663 −0.752344
\(650\) 7.67256 8.95027i 0.300943 0.351058i
\(651\) −35.4541 + 14.3456i −1.38956 + 0.562250i
\(652\) 0.997480 + 0.212021i 0.0390643 + 0.00830338i
\(653\) 0.182163 + 1.73317i 0.00712860 + 0.0678241i 0.997508 0.0705556i \(-0.0224772\pi\)
−0.990379 + 0.138380i \(0.955811\pi\)
\(654\) 9.11606 + 0.313639i 0.356466 + 0.0122642i
\(655\) −12.9630 11.3892i −0.506508 0.445015i
\(656\) 3.55190 + 2.58061i 0.138678 + 0.100756i
\(657\) −19.1893 + 18.5691i −0.748645 + 0.724450i
\(658\) −40.1739 29.1880i −1.56614 1.13787i
\(659\) −32.0109 + 6.80414i −1.24697 + 0.265051i −0.783685 0.621158i \(-0.786662\pi\)
−0.463284 + 0.886210i \(0.653329\pi\)
\(660\) −8.11855 7.64326i −0.316014 0.297513i
\(661\) −43.1830 9.17882i −1.67962 0.357015i −0.733217 0.679995i \(-0.761982\pi\)
−0.946406 + 0.322980i \(0.895315\pi\)
\(662\) −18.2809 20.3030i −0.710507 0.789098i
\(663\) 6.45724 + 3.14529i 0.250778 + 0.122153i
\(664\) −7.29628 + 8.10334i −0.283150 + 0.314470i
\(665\) 8.83776 2.99102i 0.342714 0.115987i
\(666\) 14.5140 21.5657i 0.562405 0.835655i
\(667\) 5.81942 + 4.22805i 0.225329 + 0.163711i
\(668\) 0.0910656 + 0.157730i 0.00352343 + 0.00610276i
\(669\) 10.4728 + 36.4522i 0.404902 + 1.40932i
\(670\) 25.9897 3.05202i 1.00407 0.117910i
\(671\) −0.194126 1.84698i −0.00749415 0.0713020i
\(672\) −13.6773 + 21.9133i −0.527613 + 0.845326i
\(673\) 4.23131 4.69934i 0.163105 0.181146i −0.656052 0.754715i \(-0.727775\pi\)
0.819157 + 0.573569i \(0.194442\pi\)
\(674\) −20.5298 −0.790779
\(675\) −18.8508 + 17.8787i −0.725568 + 0.688151i
\(676\) 6.78870 0.261104
\(677\) 33.5415 37.2516i 1.28911 1.43170i 0.444989 0.895536i \(-0.353207\pi\)
0.844116 0.536161i \(-0.180126\pi\)
\(678\) 2.19645 3.51908i 0.0843541 0.135150i
\(679\) −6.24697 59.4359i −0.239737 2.28094i
\(680\) −9.62582 + 8.88173i −0.369133 + 0.340599i
\(681\) −12.3800 43.0904i −0.474402 1.65123i
\(682\) 12.1350 + 21.0185i 0.464674 + 0.804838i
\(683\) 15.2867 + 11.1065i 0.584931 + 0.424977i 0.840498 0.541814i \(-0.182262\pi\)
−0.255568 + 0.966791i \(0.582262\pi\)
\(684\) −2.93724 0.202351i −0.112308 0.00773709i
\(685\) −8.38169 11.2459i −0.320248 0.429682i
\(686\) −4.79302 + 5.32319i −0.182999 + 0.203240i
\(687\) 35.7818 + 17.4291i 1.36516 + 0.664963i
\(688\) 12.1241 + 13.4652i 0.462228 + 0.513357i
\(689\) −29.5479 6.28060i −1.12569 0.239272i
\(690\) −7.42142 + 4.06769i −0.282529 + 0.154854i
\(691\) −27.3183 + 5.80669i −1.03924 + 0.220897i −0.695768 0.718266i \(-0.744936\pi\)
−0.343470 + 0.939163i \(0.611603\pi\)
\(692\) 12.6570 + 9.19584i 0.481146 + 0.349573i
\(693\) −8.92049 35.6217i −0.338861 1.35316i
\(694\) −24.8191 18.0321i −0.942120 0.684490i
\(695\) 10.0225 + 44.4816i 0.380174 + 1.68728i
\(696\) −18.9769 0.652901i −0.719318 0.0247482i
\(697\) −0.518077 4.92917i −0.0196236 0.186706i
\(698\) −21.5948 4.59012i −0.817376 0.173739i
\(699\) 14.2751 5.77606i 0.539933 0.218471i
\(700\) 1.14293 14.1910i 0.0431988 0.536368i
\(701\) −14.8415 −0.560556 −0.280278 0.959919i \(-0.590427\pi\)
−0.280278 + 0.959919i \(0.590427\pi\)
\(702\) −12.1861 1.26178i −0.459935 0.0476227i
\(703\) −7.73365 + 5.61882i −0.291680 + 0.211918i
\(704\) 25.8606 + 11.5139i 0.974657 + 0.433945i
\(705\) −43.4613 26.3966i −1.63685 0.994155i
\(706\) −8.95506 + 3.98705i −0.337028 + 0.150055i
\(707\) −16.2756 + 28.1902i −0.612107 + 1.06020i
\(708\) 2.13236 + 7.42200i 0.0801391 + 0.278936i
\(709\) −1.56454 + 0.332554i −0.0587577 + 0.0124893i −0.237197 0.971462i \(-0.576229\pi\)
0.178439 + 0.983951i \(0.442895\pi\)
\(710\) −18.1598 + 6.14592i −0.681524 + 0.230652i
\(711\) −0.728416 20.2607i −0.0273177 0.759834i
\(712\) 8.32414 25.6191i 0.311960 0.960115i
\(713\) −12.4788 + 2.65244i −0.467334 + 0.0993348i
\(714\) −12.3333 + 2.18124i −0.461561 + 0.0816309i
\(715\) 7.12919 + 15.5016i 0.266617 + 0.579728i
\(716\) 10.4377 + 11.5922i 0.390073 + 0.433220i
\(717\) −6.23000 + 6.45801i −0.232664 + 0.241179i
\(718\) 5.00266 + 8.66487i 0.186698 + 0.323370i
\(719\) −19.6770 14.2962i −0.733830 0.533159i 0.156943 0.987608i \(-0.449836\pi\)
−0.890773 + 0.454449i \(0.849836\pi\)
\(720\) 5.20065 10.1006i 0.193817 0.376427i
\(721\) 22.5596 16.3905i 0.840164 0.610415i
\(722\) 17.4399 + 7.76473i 0.649045 + 0.288973i
\(723\) −3.87782 + 10.6713i −0.144218 + 0.396871i
\(724\) −4.62252 + 8.00644i −0.171795 + 0.297557i
\(725\) 16.1629 7.67309i 0.600273 0.284971i
\(726\) −2.40249 + 0.972108i −0.0891646 + 0.0360783i
\(727\) −8.01143 + 8.89759i −0.297127 + 0.329993i −0.873160 0.487433i \(-0.837933\pi\)
0.576033 + 0.817426i \(0.304600\pi\)
\(728\) 18.7049 13.5899i 0.693250 0.503675i
\(729\) 26.4272 + 5.53197i 0.978786 + 0.204888i
\(730\) 0.263443 + 21.6337i 0.00975048 + 0.800700i
\(731\) 2.13811 20.3428i 0.0790810 0.752406i
\(732\) −0.693632 + 0.280661i −0.0256374 + 0.0103735i
\(733\) −9.53117 + 4.24355i −0.352042 + 0.156739i −0.575136 0.818058i \(-0.695051\pi\)
0.223094 + 0.974797i \(0.428384\pi\)
\(734\) 13.8508 + 15.3829i 0.511242 + 0.567792i
\(735\) 11.9765 15.7369i 0.441760 0.580464i
\(736\) −5.76548 + 6.40322i −0.212519 + 0.236026i
\(737\) −11.7039 + 36.0208i −0.431117 + 1.32684i
\(738\) 3.71383 + 7.59460i 0.136708 + 0.279561i
\(739\) 9.63830 + 29.6636i 0.354551 + 1.09119i 0.956270 + 0.292487i \(0.0944827\pi\)
−0.601719 + 0.798708i \(0.705517\pi\)
\(740\) 3.20622 + 14.2298i 0.117863 + 0.523098i
\(741\) 4.05031 + 1.97289i 0.148792 + 0.0724758i
\(742\) 48.1217 21.4252i 1.76660 0.786543i
\(743\) 17.4838 30.2828i 0.641418 1.11097i −0.343698 0.939080i \(-0.611680\pi\)
0.985116 0.171889i \(-0.0549870\pi\)
\(744\) 23.3812 24.2369i 0.857197 0.888569i
\(745\) −15.6918 1.45633i −0.574903 0.0533556i
\(746\) 3.77035 2.73932i 0.138042 0.100294i
\(747\) −10.0299 + 3.66228i −0.366974 + 0.133996i
\(748\) −1.70093 5.23491i −0.0621920 0.191407i
\(749\) 8.77921 + 15.2060i 0.320785 + 0.555617i
\(750\) 0.0450274 + 21.0503i 0.00164417 + 0.768647i
\(751\) −13.7941 + 23.8921i −0.503354 + 0.871835i 0.496638 + 0.867958i \(0.334568\pi\)
−0.999992 + 0.00387741i \(0.998766\pi\)
\(752\) 21.7495 + 4.62300i 0.793122 + 0.168583i
\(753\) 6.55571 10.5034i 0.238904 0.382764i
\(754\) 7.70747 + 3.43159i 0.280689 + 0.124971i
\(755\) −0.0402778 + 0.0568815i −0.00146586 + 0.00207013i
\(756\) −12.8018 + 7.41751i −0.465596 + 0.269772i
\(757\) 31.2879 1.13718 0.568589 0.822622i \(-0.307489\pi\)
0.568589 + 0.822622i \(0.307489\pi\)
\(758\) 1.09733 10.4404i 0.0398567 0.379211i
\(759\) −0.860738 12.2187i −0.0312428 0.443510i
\(760\) −6.03781 + 5.57108i −0.219015 + 0.202084i
\(761\) 18.3181 + 3.89364i 0.664032 + 0.141144i 0.527584 0.849503i \(-0.323098\pi\)
0.136448 + 0.990647i \(0.456431\pi\)
\(762\) −29.8597 + 20.1630i −1.08170 + 0.730429i
\(763\) −16.4880 + 3.50463i −0.596905 + 0.126876i
\(764\) 0.569594 + 1.75303i 0.0206072 + 0.0634224i
\(765\) −12.4023 + 3.26679i −0.448404 + 0.118111i
\(766\) −3.13711 + 9.65503i −0.113348 + 0.348850i
\(767\) 1.23518 11.7520i 0.0445998 0.424338i
\(768\) 3.81962 27.2799i 0.137828 0.984380i
\(769\) −21.3024 + 9.48442i −0.768183 + 0.342017i −0.753132 0.657870i \(-0.771458\pi\)
−0.0150511 + 0.999887i \(0.504791\pi\)
\(770\) −25.9460 14.5616i −0.935030 0.524764i
\(771\) 3.35802 +