Properties

Label 300.2.n.a.71.47
Level $300$
Weight $2$
Character 300.71
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 71.47
Character \(\chi\) \(=\) 300.71
Dual form 300.2.n.a.131.47

$q$-expansion

\(f(q)\) \(=\) \(q+(1.16649 + 0.799563i) q^{2} +(1.51725 + 0.835438i) q^{3} +(0.721398 + 1.86536i) q^{4} +(0.0912679 - 2.23420i) q^{5} +(1.10187 + 2.18767i) q^{6} -1.22899i q^{7} +(-0.649972 + 2.75273i) q^{8} +(1.60409 + 2.53513i) q^{9} +O(q^{10})\) \(q+(1.16649 + 0.799563i) q^{2} +(1.51725 + 0.835438i) q^{3} +(0.721398 + 1.86536i) q^{4} +(0.0912679 - 2.23420i) q^{5} +(1.10187 + 2.18767i) q^{6} -1.22899i q^{7} +(-0.649972 + 2.75273i) q^{8} +(1.60409 + 2.53513i) q^{9} +(1.89285 - 2.53320i) q^{10} +(-1.19894 + 3.68995i) q^{11} +(-0.463856 + 3.43291i) q^{12} +(-1.75824 - 5.41130i) q^{13} +(0.982659 - 1.43361i) q^{14} +(2.00502 - 3.31359i) q^{15} +(-2.95917 + 2.69134i) q^{16} +(0.726020 + 0.999281i) q^{17} +(-0.155849 + 4.23978i) q^{18} +(-0.675846 - 0.930222i) q^{19} +(4.23345 - 1.44150i) q^{20} +(1.02675 - 1.86469i) q^{21} +(-4.34889 + 3.34566i) q^{22} +(1.01754 - 3.13167i) q^{23} +(-3.28591 + 3.63357i) q^{24} +(-4.98334 - 0.407823i) q^{25} +(2.27571 - 7.71805i) q^{26} +(0.315848 + 5.18654i) q^{27} +(2.29252 - 0.886595i) q^{28} +(-3.27247 + 4.50417i) q^{29} +(4.98826 - 2.26214i) q^{30} +(-6.00889 - 8.27053i) q^{31} +(-5.60374 + 0.773382i) q^{32} +(-4.90180 + 4.59693i) q^{33} +(0.0479073 + 1.74615i) q^{34} +(-2.74583 - 0.112168i) q^{35} +(-3.57177 + 4.82105i) q^{36} +(1.51707 + 4.66906i) q^{37} +(-0.0445965 - 1.62548i) q^{38} +(1.85312 - 9.67919i) q^{39} +(6.09085 + 1.70341i) q^{40} +(2.19123 - 0.711975i) q^{41} +(2.68863 - 1.35419i) q^{42} -8.85459i q^{43} +(-7.74800 + 0.425468i) q^{44} +(5.81041 - 3.35248i) q^{45} +(3.69092 - 2.83948i) q^{46} +(7.46449 + 5.42327i) q^{47} +(-6.73824 + 1.61123i) q^{48} +5.48957 q^{49} +(-5.48694 - 4.46021i) q^{50} +(0.266715 + 2.12270i) q^{51} +(8.82566 - 7.18346i) q^{52} +(-4.27163 + 5.87940i) q^{53} +(-3.77853 + 6.30259i) q^{54} +(8.13467 + 3.01544i) q^{55} +(3.38309 + 0.798812i) q^{56} +(-0.248283 - 1.97601i) q^{57} +(-7.41868 + 2.63752i) q^{58} +(-2.19729 - 6.76255i) q^{59} +(7.62748 + 1.34966i) q^{60} +(1.50308 - 4.62601i) q^{61} +(-0.396504 - 14.4520i) q^{62} +(3.11567 - 1.97141i) q^{63} +(-7.15507 - 3.57840i) q^{64} +(-12.2504 + 3.43439i) q^{65} +(-9.39344 + 1.44297i) q^{66} +(7.52646 + 10.3593i) q^{67} +(-1.34027 + 2.07517i) q^{68} +(4.16019 - 3.90143i) q^{69} +(-3.11329 - 2.32630i) q^{70} +(1.92669 + 1.39982i) q^{71} +(-8.02116 + 2.76785i) q^{72} +(0.789142 - 2.42873i) q^{73} +(-1.96356 + 6.65941i) q^{74} +(-7.22025 - 4.78204i) q^{75} +(1.24765 - 1.93176i) q^{76} +(4.53492 + 1.47349i) q^{77} +(9.90077 - 9.80899i) q^{78} +(-2.96668 + 4.08328i) q^{79} +(5.74293 + 6.85702i) q^{80} +(-3.85382 + 8.13315i) q^{81} +(3.12532 + 0.921517i) q^{82} +(5.96084 - 4.33081i) q^{83} +(4.21902 + 0.570077i) q^{84} +(2.29886 - 1.53088i) q^{85} +(7.07980 - 10.3288i) q^{86} +(-8.72811 + 4.10000i) q^{87} +(-9.37816 - 5.69871i) q^{88} +(-11.9886 - 3.89532i) q^{89} +(9.45831 + 0.735155i) q^{90} +(-6.65046 + 2.16087i) q^{91} +(6.57577 - 0.361097i) q^{92} +(-2.20746 - 17.5685i) q^{93} +(4.37101 + 12.2945i) q^{94} +(-2.13999 + 1.42508i) q^{95} +(-9.14838 - 3.50816i) q^{96} +(5.45379 + 3.96241i) q^{97} +(6.40353 + 4.38926i) q^{98} +(-11.2777 + 2.87952i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.16649 + 0.799563i 0.824833 + 0.565376i
\(3\) 1.51725 + 0.835438i 0.875984 + 0.482340i
\(4\) 0.721398 + 1.86536i 0.360699 + 0.932682i
\(5\) 0.0912679 2.23420i 0.0408163 0.999167i
\(6\) 1.10187 + 2.18767i 0.449837 + 0.893111i
\(7\) 1.22899i 0.464516i −0.972654 0.232258i \(-0.925389\pi\)
0.972654 0.232258i \(-0.0746114\pi\)
\(8\) −0.649972 + 2.75273i −0.229800 + 0.973238i
\(9\) 1.60409 + 2.53513i 0.534695 + 0.845045i
\(10\) 1.89285 2.53320i 0.598572 0.801069i
\(11\) −1.19894 + 3.68995i −0.361493 + 1.11256i 0.590656 + 0.806924i \(0.298869\pi\)
−0.952148 + 0.305636i \(0.901131\pi\)
\(12\) −0.463856 + 3.43291i −0.133904 + 0.990994i
\(13\) −1.75824 5.41130i −0.487647 1.50082i −0.828110 0.560566i \(-0.810583\pi\)
0.340462 0.940258i \(-0.389417\pi\)
\(14\) 0.982659 1.43361i 0.262627 0.383148i
\(15\) 2.00502 3.31359i 0.517693 0.855566i
\(16\) −2.95917 + 2.69134i −0.739792 + 0.672835i
\(17\) 0.726020 + 0.999281i 0.176086 + 0.242361i 0.887933 0.459973i \(-0.152141\pi\)
−0.711847 + 0.702335i \(0.752141\pi\)
\(18\) −0.155849 + 4.23978i −0.0367341 + 0.999325i
\(19\) −0.675846 0.930222i −0.155050 0.213408i 0.724425 0.689354i \(-0.242106\pi\)
−0.879474 + 0.475947i \(0.842106\pi\)
\(20\) 4.23345 1.44150i 0.946627 0.322330i
\(21\) 1.02675 1.86469i 0.224055 0.406909i
\(22\) −4.34889 + 3.34566i −0.927186 + 0.713297i
\(23\) 1.01754 3.13167i 0.212172 0.652999i −0.787170 0.616736i \(-0.788455\pi\)
0.999342 0.0362631i \(-0.0115454\pi\)
\(24\) −3.28591 + 3.63357i −0.670733 + 0.741699i
\(25\) −4.98334 0.407823i −0.996668 0.0815645i
\(26\) 2.27571 7.71805i 0.446303 1.51363i
\(27\) 0.315848 + 5.18654i 0.0607850 + 0.998151i
\(28\) 2.29252 0.886595i 0.433246 0.167551i
\(29\) −3.27247 + 4.50417i −0.607683 + 0.836404i −0.996384 0.0849600i \(-0.972924\pi\)
0.388701 + 0.921364i \(0.372924\pi\)
\(30\) 4.98826 2.26214i 0.910727 0.413008i
\(31\) −6.00889 8.27053i −1.07923 1.48543i −0.860367 0.509675i \(-0.829766\pi\)
−0.218862 0.975756i \(-0.570234\pi\)
\(32\) −5.60374 + 0.773382i −0.990610 + 0.136716i
\(33\) −4.90180 + 4.59693i −0.853295 + 0.800222i
\(34\) 0.0479073 + 1.74615i 0.00821604 + 0.299462i
\(35\) −2.74583 0.112168i −0.464129 0.0189598i
\(36\) −3.57177 + 4.82105i −0.595294 + 0.803508i
\(37\) 1.51707 + 4.66906i 0.249405 + 0.767589i 0.994881 + 0.101056i \(0.0322222\pi\)
−0.745476 + 0.666533i \(0.767778\pi\)
\(38\) −0.0445965 1.62548i −0.00723451 0.263687i
\(39\) 1.85312 9.67919i 0.296737 1.54991i
\(40\) 6.09085 + 1.70341i 0.963047 + 0.269332i
\(41\) 2.19123 0.711975i 0.342213 0.111192i −0.132868 0.991134i \(-0.542419\pi\)
0.475081 + 0.879942i \(0.342419\pi\)
\(42\) 2.68863 1.35419i 0.414865 0.208956i
\(43\) 8.85459i 1.35031i −0.737675 0.675156i \(-0.764076\pi\)
0.737675 0.675156i \(-0.235924\pi\)
\(44\) −7.74800 + 0.425468i −1.16806 + 0.0641417i
\(45\) 5.81041 3.35248i 0.866165 0.499758i
\(46\) 3.69092 2.83948i 0.544197 0.418658i
\(47\) 7.46449 + 5.42327i 1.08881 + 0.791065i 0.979197 0.202910i \(-0.0650398\pi\)
0.109610 + 0.993975i \(0.465040\pi\)
\(48\) −6.73824 + 1.61123i −0.972582 + 0.232561i
\(49\) 5.48957 0.784225
\(50\) −5.48694 4.46021i −0.775970 0.630770i
\(51\) 0.266715 + 2.12270i 0.0373476 + 0.297238i
\(52\) 8.82566 7.18346i 1.22390 0.996166i
\(53\) −4.27163 + 5.87940i −0.586754 + 0.807597i −0.994416 0.105536i \(-0.966344\pi\)
0.407662 + 0.913133i \(0.366344\pi\)
\(54\) −3.77853 + 6.30259i −0.514193 + 0.857674i
\(55\) 8.13467 + 3.01544i 1.09688 + 0.406602i
\(56\) 3.38309 + 0.798812i 0.452085 + 0.106746i
\(57\) −0.248283 1.97601i −0.0328859 0.261728i
\(58\) −7.41868 + 2.63752i −0.974120 + 0.346324i
\(59\) −2.19729 6.76255i −0.286062 0.880409i −0.986078 0.166282i \(-0.946824\pi\)
0.700016 0.714127i \(-0.253176\pi\)
\(60\) 7.62748 + 1.34966i 0.984703 + 0.174241i
\(61\) 1.50308 4.62601i 0.192450 0.592300i −0.807547 0.589803i \(-0.799205\pi\)
0.999997 0.00249669i \(-0.000794723\pi\)
\(62\) −0.396504 14.4520i −0.0503561 1.83540i
\(63\) 3.11567 1.97141i 0.392537 0.248375i
\(64\) −7.15507 3.57840i −0.894384 0.447300i
\(65\) −12.2504 + 3.43439i −1.51948 + 0.425983i
\(66\) −9.39344 + 1.44297i −1.15625 + 0.177617i
\(67\) 7.52646 + 10.3593i 0.919503 + 1.26559i 0.963816 + 0.266570i \(0.0858903\pi\)
−0.0443124 + 0.999018i \(0.514110\pi\)
\(68\) −1.34027 + 2.07517i −0.162532 + 0.251652i
\(69\) 4.16019 3.90143i 0.500827 0.469677i
\(70\) −3.11329 2.32630i −0.372110 0.278046i
\(71\) 1.92669 + 1.39982i 0.228655 + 0.166128i 0.696214 0.717834i \(-0.254866\pi\)
−0.467559 + 0.883962i \(0.654866\pi\)
\(72\) −8.02116 + 2.76785i −0.945303 + 0.326195i
\(73\) 0.789142 2.42873i 0.0923621 0.284261i −0.894195 0.447677i \(-0.852251\pi\)
0.986557 + 0.163416i \(0.0522513\pi\)
\(74\) −1.96356 + 6.65941i −0.228259 + 0.774140i
\(75\) −7.22025 4.78204i −0.833723 0.552183i
\(76\) 1.24765 1.93176i 0.143115 0.221588i
\(77\) 4.53492 + 1.47349i 0.516802 + 0.167919i
\(78\) 9.90077 9.80899i 1.12104 1.11065i
\(79\) −2.96668 + 4.08328i −0.333777 + 0.459405i −0.942611 0.333893i \(-0.891638\pi\)
0.608834 + 0.793298i \(0.291638\pi\)
\(80\) 5.74293 + 6.85702i 0.642079 + 0.766638i
\(81\) −3.85382 + 8.13315i −0.428202 + 0.903683i
\(82\) 3.12532 + 0.921517i 0.345134 + 0.101765i
\(83\) 5.96084 4.33081i 0.654287 0.475368i −0.210441 0.977606i \(-0.567490\pi\)
0.864729 + 0.502239i \(0.167490\pi\)
\(84\) 4.21902 + 0.570077i 0.460333 + 0.0622005i
\(85\) 2.29886 1.53088i 0.249347 0.166047i
\(86\) 7.07980 10.3288i 0.763434 1.11378i
\(87\) −8.72811 + 4.10000i −0.935752 + 0.439566i
\(88\) −9.37816 5.69871i −0.999715 0.607485i
\(89\) −11.9886 3.89532i −1.27079 0.412903i −0.405460 0.914113i \(-0.632889\pi\)
−0.865326 + 0.501210i \(0.832889\pi\)
\(90\) 9.45831 + 0.735155i 0.996993 + 0.0774922i
\(91\) −6.65046 + 2.16087i −0.697158 + 0.226520i
\(92\) 6.57577 0.361097i 0.685571 0.0376469i
\(93\) −2.20746 17.5685i −0.228903 1.82177i
\(94\) 4.37101 + 12.2945i 0.450835 + 1.26808i
\(95\) −2.13999 + 1.42508i −0.219558 + 0.146210i
\(96\) −9.14838 3.50816i −0.933702 0.358051i
\(97\) 5.45379 + 3.96241i 0.553749 + 0.402322i 0.829166 0.559003i \(-0.188816\pi\)
−0.275417 + 0.961325i \(0.588816\pi\)
\(98\) 6.40353 + 4.38926i 0.646854 + 0.443382i
\(99\) −11.2777 + 2.87952i −1.13345 + 0.289403i
\(100\) −2.83424 9.58995i −0.283424 0.958995i
\(101\) 3.79230i 0.377348i 0.982040 + 0.188674i \(0.0604190\pi\)
−0.982040 + 0.188674i \(0.939581\pi\)
\(102\) −1.38611 + 2.68937i −0.137246 + 0.266287i
\(103\) −5.49558 + 7.56401i −0.541495 + 0.745304i −0.988828 0.149063i \(-0.952374\pi\)
0.447332 + 0.894368i \(0.352374\pi\)
\(104\) 16.0387 1.32276i 1.57272 0.129708i
\(105\) −4.07239 2.46415i −0.397425 0.240477i
\(106\) −9.68377 + 3.44282i −0.940570 + 0.334396i
\(107\) −1.99209 −0.192583 −0.0962915 0.995353i \(-0.530698\pi\)
−0.0962915 + 0.995353i \(0.530698\pi\)
\(108\) −9.44694 + 4.33074i −0.909032 + 0.416725i
\(109\) 1.17339 + 3.61134i 0.112391 + 0.345903i 0.991394 0.130913i \(-0.0417908\pi\)
−0.879003 + 0.476816i \(0.841791\pi\)
\(110\) 7.07797 + 10.0217i 0.674858 + 0.955528i
\(111\) −1.59894 + 8.35154i −0.151765 + 0.792693i
\(112\) 3.30764 + 3.63680i 0.312543 + 0.343646i
\(113\) 11.9770 3.89156i 1.12670 0.366087i 0.314378 0.949298i \(-0.398204\pi\)
0.812321 + 0.583211i \(0.198204\pi\)
\(114\) 1.29032 2.50351i 0.120850 0.234475i
\(115\) −6.90393 2.55922i −0.643795 0.238648i
\(116\) −10.7627 2.85505i −0.999290 0.265085i
\(117\) 10.8980 13.1376i 1.00752 1.21457i
\(118\) 2.84397 9.64532i 0.261809 0.887923i
\(119\) 1.22811 0.892275i 0.112581 0.0817947i
\(120\) 7.81824 + 7.67302i 0.713704 + 0.700447i
\(121\) −3.27906 2.38238i −0.298096 0.216580i
\(122\) 5.45212 4.19439i 0.493611 0.379742i
\(123\) 3.91946 + 0.750397i 0.353406 + 0.0676611i
\(124\) 11.0927 17.1751i 0.996158 1.54237i
\(125\) −1.36598 + 11.0966i −0.122177 + 0.992508i
\(126\) 5.21066 + 0.191538i 0.464203 + 0.0170636i
\(127\) 2.90427 + 0.943656i 0.257713 + 0.0837359i 0.435024 0.900419i \(-0.356740\pi\)
−0.177311 + 0.984155i \(0.556740\pi\)
\(128\) −5.48517 9.89510i −0.484825 0.874611i
\(129\) 7.39746 13.4346i 0.651310 1.18285i
\(130\) −17.0360 5.78881i −1.49416 0.507712i
\(131\) −14.0632 + 10.2175i −1.22871 + 0.892707i −0.996792 0.0800299i \(-0.974498\pi\)
−0.231913 + 0.972737i \(0.574498\pi\)
\(132\) −12.1111 5.82744i −1.05414 0.507213i
\(133\) −1.14324 + 0.830611i −0.0991313 + 0.0720231i
\(134\) 0.496642 + 18.1019i 0.0429034 + 1.56376i
\(135\) 11.6166 0.232304i 0.999800 0.0199936i
\(136\) −3.22265 + 1.34904i −0.276340 + 0.115679i
\(137\) 0.0666100 0.0216429i 0.00569088 0.00184908i −0.306170 0.951977i \(-0.599048\pi\)
0.311861 + 0.950128i \(0.399048\pi\)
\(138\) 7.97226 1.22465i 0.678644 0.104249i
\(139\) 9.42407 + 3.06207i 0.799340 + 0.259721i 0.680076 0.733141i \(-0.261947\pi\)
0.119263 + 0.992863i \(0.461947\pi\)
\(140\) −1.77160 5.20288i −0.149728 0.439724i
\(141\) 6.79468 + 14.4646i 0.572215 + 1.21814i
\(142\) 1.12822 + 3.17338i 0.0946778 + 0.266304i
\(143\) 22.0754 1.84604
\(144\) −11.5697 3.18475i −0.964140 0.265396i
\(145\) 9.76457 + 7.72246i 0.810903 + 0.641315i
\(146\) 2.86245 2.20212i 0.236898 0.182249i
\(147\) 8.32904 + 4.58620i 0.686968 + 0.378263i
\(148\) −7.61509 + 6.19814i −0.625956 + 0.509484i
\(149\) 13.5650i 1.11129i 0.831419 + 0.555645i \(0.187529\pi\)
−0.831419 + 0.555645i \(0.812471\pi\)
\(150\) −4.59881 11.3513i −0.375492 0.926826i
\(151\) 5.76043i 0.468777i 0.972143 + 0.234389i \(0.0753088\pi\)
−0.972143 + 0.234389i \(0.924691\pi\)
\(152\) 2.99993 1.25580i 0.243327 0.101859i
\(153\) −1.36871 + 3.44349i −0.110654 + 0.278390i
\(154\) 4.11180 + 5.34476i 0.331338 + 0.430693i
\(155\) −19.0265 + 12.6703i −1.52824 + 1.01770i
\(156\) 19.3920 3.52580i 1.55261 0.282290i
\(157\) −17.9696 −1.43413 −0.717063 0.697008i \(-0.754514\pi\)
−0.717063 + 0.697008i \(0.754514\pi\)
\(158\) −6.72544 + 2.39106i −0.535047 + 0.190223i
\(159\) −11.3930 + 5.35182i −0.903524 + 0.424427i
\(160\) 1.21645 + 12.5905i 0.0961690 + 0.995365i
\(161\) −3.84881 1.25055i −0.303329 0.0985575i
\(162\) −10.9984 + 6.40587i −0.864116 + 0.503292i
\(163\) −8.03734 + 2.61149i −0.629533 + 0.204548i −0.606368 0.795184i \(-0.707374\pi\)
−0.0231647 + 0.999732i \(0.507374\pi\)
\(164\) 2.90884 + 3.57383i 0.227143 + 0.279069i
\(165\) 9.82310 + 11.3712i 0.764727 + 0.885246i
\(166\) 10.4160 0.285773i 0.808440 0.0221803i
\(167\) 9.75638 7.08842i 0.754971 0.548519i −0.142393 0.989810i \(-0.545480\pi\)
0.897364 + 0.441292i \(0.145480\pi\)
\(168\) 4.46564 + 4.03836i 0.344531 + 0.311566i
\(169\) −15.6735 + 11.3875i −1.20566 + 0.875961i
\(170\) 3.90563 + 0.0523328i 0.299548 + 0.00401374i
\(171\) 1.27412 3.20552i 0.0974347 0.245132i
\(172\) 16.5170 6.38768i 1.25941 0.487056i
\(173\) −13.8709 4.50692i −1.05458 0.342655i −0.270118 0.962827i \(-0.587063\pi\)
−0.784466 + 0.620172i \(0.787063\pi\)
\(174\) −13.4595 2.19607i −1.02036 0.166483i
\(175\) −0.501212 + 6.12450i −0.0378880 + 0.462969i
\(176\) −6.38305 14.1459i −0.481140 1.06629i
\(177\) 2.31586 12.0962i 0.174071 0.909204i
\(178\) −10.8700 14.1295i −0.814740 1.05905i
\(179\) 8.20322 + 5.95999i 0.613137 + 0.445470i 0.850518 0.525946i \(-0.176289\pi\)
−0.237380 + 0.971417i \(0.576289\pi\)
\(180\) 10.4452 + 8.42006i 0.778541 + 0.627594i
\(181\) 2.56362 1.86258i 0.190553 0.138445i −0.488419 0.872609i \(-0.662426\pi\)
0.678971 + 0.734165i \(0.262426\pi\)
\(182\) −9.48544 2.79683i −0.703108 0.207315i
\(183\) 6.14530 5.76308i 0.454273 0.426019i
\(184\) 7.95929 + 4.83652i 0.586766 + 0.356553i
\(185\) 10.5701 2.96331i 0.777129 0.217867i
\(186\) 11.4721 22.2585i 0.841178 1.63207i
\(187\) −4.55775 + 1.48090i −0.333295 + 0.108294i
\(188\) −4.73150 + 17.8363i −0.345080 + 1.30085i
\(189\) 6.37424 0.388176i 0.463657 0.0282356i
\(190\) −3.63572 0.0487162i −0.263763 0.00353424i
\(191\) −1.49733 4.60830i −0.108343 0.333445i 0.882158 0.470954i \(-0.156090\pi\)
−0.990500 + 0.137509i \(0.956090\pi\)
\(192\) −7.86649 11.4069i −0.567715 0.823225i
\(193\) 19.3342 1.39171 0.695854 0.718183i \(-0.255026\pi\)
0.695854 + 0.718183i \(0.255026\pi\)
\(194\) 3.19360 + 8.98276i 0.229287 + 0.644925i
\(195\) −21.4562 5.02366i −1.53651 0.359751i
\(196\) 3.96017 + 10.2401i 0.282869 + 0.731432i
\(197\) 11.0615 15.2249i 0.788102 1.08473i −0.206239 0.978502i \(-0.566123\pi\)
0.994342 0.106228i \(-0.0338775\pi\)
\(198\) −15.4577 5.65830i −1.09853 0.402118i
\(199\) 2.99905i 0.212597i 0.994334 + 0.106299i \(0.0338999\pi\)
−0.994334 + 0.106299i \(0.966100\pi\)
\(200\) 4.36166 13.4527i 0.308416 0.951252i
\(201\) 2.76497 + 22.0055i 0.195026 + 1.55215i
\(202\) −3.03218 + 4.42368i −0.213344 + 0.311249i
\(203\) 5.53560 + 4.02185i 0.388523 + 0.282279i
\(204\) −3.76721 + 2.02884i −0.263757 + 0.142047i
\(205\) −1.39071 4.96064i −0.0971313 0.346466i
\(206\) −12.4584 + 4.42929i −0.868021 + 0.308603i
\(207\) 9.57144 2.44387i 0.665261 0.169860i
\(208\) 19.7666 + 11.2809i 1.37057 + 0.782192i
\(209\) 4.24276 1.37856i 0.293478 0.0953568i
\(210\) −2.78016 6.13054i −0.191849 0.423048i
\(211\) 3.11980 + 1.01368i 0.214776 + 0.0697849i 0.414429 0.910082i \(-0.363981\pi\)
−0.199653 + 0.979867i \(0.563981\pi\)
\(212\) −14.0488 3.72676i −0.964873 0.255955i
\(213\) 1.75380 + 3.73350i 0.120168 + 0.255815i
\(214\) −2.32376 1.59280i −0.158849 0.108882i
\(215\) −19.7830 0.808140i −1.34919 0.0551147i
\(216\) −14.4825 2.50166i −0.985407 0.170217i
\(217\) −10.1644 + 7.38490i −0.690007 + 0.501319i
\(218\) −1.51874 + 5.15079i −0.102862 + 0.348855i
\(219\) 3.22638 3.02571i 0.218018 0.204458i
\(220\) 0.243439 + 17.3495i 0.0164126 + 1.16970i
\(221\) 4.13089 5.68569i 0.277874 0.382461i
\(222\) −8.54273 + 8.46354i −0.573351 + 0.568036i
\(223\) 27.9800 + 9.09126i 1.87368 + 0.608796i 0.990071 + 0.140571i \(0.0448940\pi\)
0.883610 + 0.468224i \(0.155106\pi\)
\(224\) 0.950482 + 6.88696i 0.0635068 + 0.460155i
\(225\) −6.95982 13.2876i −0.463988 0.885841i
\(226\) 17.0826 + 5.03688i 1.13632 + 0.335049i
\(227\) −4.32650 + 13.3156i −0.287160 + 0.883788i 0.698583 + 0.715529i \(0.253814\pi\)
−0.985743 + 0.168258i \(0.946186\pi\)
\(228\) 3.50686 1.88863i 0.232247 0.125077i
\(229\) −17.8709 12.9840i −1.18095 0.858007i −0.188667 0.982041i \(-0.560417\pi\)
−0.992278 + 0.124034i \(0.960417\pi\)
\(230\) −6.00711 8.50543i −0.396097 0.560832i
\(231\) 5.64960 + 6.02429i 0.371716 + 0.396369i
\(232\) −10.2718 11.9358i −0.674374 0.783625i
\(233\) 4.51930 + 6.22028i 0.296069 + 0.407504i 0.930974 0.365087i \(-0.118961\pi\)
−0.634905 + 0.772591i \(0.718961\pi\)
\(234\) 23.2167 6.61119i 1.51772 0.432187i
\(235\) 12.7980 16.1822i 0.834847 1.05561i
\(236\) 11.0295 8.97723i 0.717959 0.584368i
\(237\) −7.91251 + 3.71688i −0.513973 + 0.241437i
\(238\) 2.14601 0.0588779i 0.139105 0.00381649i
\(239\) 9.12739 28.0912i 0.590402 1.81707i 0.0140032 0.999902i \(-0.495543\pi\)
0.576399 0.817169i \(-0.304457\pi\)
\(240\) 2.98483 + 15.2017i 0.192670 + 0.981264i
\(241\) −2.13388 6.56741i −0.137455 0.423044i 0.858508 0.512799i \(-0.171392\pi\)
−0.995964 + 0.0897551i \(0.971392\pi\)
\(242\) −1.92013 5.40083i −0.123431 0.347179i
\(243\) −12.6419 + 9.12038i −0.810981 + 0.585073i
\(244\) 9.71352 0.533401i 0.621844 0.0341475i
\(245\) 0.501022 12.2648i 0.0320091 0.783571i
\(246\) 3.97202 + 4.00918i 0.253247 + 0.255616i
\(247\) −3.84541 + 5.29276i −0.244678 + 0.336770i
\(248\) 26.6722 11.1653i 1.69368 0.708995i
\(249\) 12.6622 1.59099i 0.802434 0.100825i
\(250\) −10.4658 + 11.8519i −0.661916 + 0.749578i
\(251\) −14.4985 −0.915135 −0.457568 0.889175i \(-0.651279\pi\)
−0.457568 + 0.889175i \(0.651279\pi\)
\(252\) 5.92504 + 4.38968i 0.373243 + 0.276524i
\(253\) 10.3357 + 7.50935i 0.649802 + 0.472109i
\(254\) 2.63329 + 3.42291i 0.165228 + 0.214773i
\(255\) 4.76690 0.402162i 0.298515 0.0251844i
\(256\) 1.51336 15.9283i 0.0945850 0.995517i
\(257\) 12.1666i 0.758930i 0.925206 + 0.379465i \(0.123892\pi\)
−0.925206 + 0.379465i \(0.876108\pi\)
\(258\) 19.3709 9.75660i 1.20598 0.607419i
\(259\) 5.73825 1.86447i 0.356558 0.115853i
\(260\) −15.2438 20.3739i −0.945381 1.26354i
\(261\) −16.6680 1.07108i −1.03172 0.0662982i
\(262\) −24.5741 + 0.674214i −1.51819 + 0.0416531i
\(263\) −1.08321 3.33377i −0.0667935 0.205569i 0.912089 0.409992i \(-0.134468\pi\)
−0.978883 + 0.204422i \(0.934468\pi\)
\(264\) −9.46807 16.4812i −0.582720 1.01435i
\(265\) 12.7459 + 10.0803i 0.782975 + 0.619228i
\(266\) −1.99770 + 0.0548089i −0.122487 + 0.00336055i
\(267\) −14.9353 15.9259i −0.914028 0.974648i
\(268\) −13.8943 + 21.5128i −0.848727 + 1.31410i
\(269\) 0.0420528 + 0.0578808i 0.00256401 + 0.00352905i 0.810297 0.586019i \(-0.199306\pi\)
−0.807733 + 0.589548i \(0.799306\pi\)
\(270\) 13.7364 + 9.01724i 0.835972 + 0.548772i
\(271\) 8.54047 11.7550i 0.518797 0.714063i −0.466575 0.884482i \(-0.654512\pi\)
0.985372 + 0.170419i \(0.0545122\pi\)
\(272\) −4.83782 1.00307i −0.293336 0.0608203i
\(273\) −11.8957 2.27748i −0.719959 0.137839i
\(274\) 0.0950048 + 0.0280127i 0.00573945 + 0.00169231i
\(275\) 7.47955 17.8993i 0.451034 1.07937i
\(276\) 10.2787 + 4.94577i 0.618708 + 0.297701i
\(277\) −0.715655 + 2.20256i −0.0429995 + 0.132339i −0.970252 0.242099i \(-0.922164\pi\)
0.927252 + 0.374438i \(0.122164\pi\)
\(278\) 8.54477 + 11.1070i 0.512482 + 0.666154i
\(279\) 11.3281 28.5000i 0.678197 1.70625i
\(280\) 2.09348 7.48562i 0.125109 0.447351i
\(281\) −14.9440 20.5686i −0.891482 1.22702i −0.973106 0.230357i \(-0.926011\pi\)
0.0816243 0.996663i \(-0.473989\pi\)
\(282\) −3.63940 + 22.3055i −0.216723 + 1.32828i
\(283\) −15.8760 21.8514i −0.943728 1.29893i −0.954257 0.298986i \(-0.903352\pi\)
0.0105291 0.999945i \(-0.496648\pi\)
\(284\) −1.22126 + 4.60380i −0.0724687 + 0.273185i
\(285\) −4.43746 + 0.374369i −0.262853 + 0.0221757i
\(286\) 25.7508 + 17.6507i 1.52267 + 1.04371i
\(287\) −0.875013 2.69301i −0.0516504 0.158964i
\(288\) −10.9495 12.9657i −0.645206 0.764009i
\(289\) 4.78183 14.7170i 0.281284 0.865704i
\(290\) 5.21568 + 16.8156i 0.306275 + 0.987444i
\(291\) 4.96441 + 10.5683i 0.291019 + 0.619523i
\(292\) 5.09975 0.280044i 0.298440 0.0163883i
\(293\) 20.9443i 1.22358i 0.791020 + 0.611790i \(0.209550\pi\)
−0.791020 + 0.611790i \(0.790450\pi\)
\(294\) 6.04879 + 12.0093i 0.352773 + 0.700399i
\(295\) −15.3095 + 4.29198i −0.891351 + 0.249889i
\(296\) −13.8387 + 1.14133i −0.804360 + 0.0663383i
\(297\) −19.5167 5.05287i −1.13248 0.293197i
\(298\) −10.8461 + 15.8235i −0.628297 + 0.916629i
\(299\) −18.7355 −1.08350
\(300\) 3.71157 16.9182i 0.214288 0.976771i
\(301\) −10.8822 −0.627242
\(302\) −4.60583 + 6.71948i −0.265036 + 0.386663i
\(303\) −3.16823 + 5.75387i −0.182010 + 0.330551i
\(304\) 4.50349 + 0.933752i 0.258293 + 0.0535544i
\(305\) −10.1983 3.78040i −0.583951 0.216465i
\(306\) −4.34988 + 2.92243i −0.248666 + 0.167064i
\(307\) 23.7948i 1.35804i −0.734119 0.679021i \(-0.762405\pi\)
0.734119 0.679021i \(-0.237595\pi\)
\(308\) 0.522898 + 9.52226i 0.0297949 + 0.542581i
\(309\) −14.6574 + 6.88527i −0.833832 + 0.391689i
\(310\) −32.3249 0.433131i −1.83593 0.0246002i
\(311\) −1.28866 + 3.96610i −0.0730735 + 0.224897i −0.980922 0.194401i \(-0.937724\pi\)
0.907849 + 0.419298i \(0.137724\pi\)
\(312\) 25.4397 + 11.3924i 1.44024 + 0.644965i
\(313\) 3.10751 + 9.56394i 0.175647 + 0.540586i 0.999662 0.0259814i \(-0.00827108\pi\)
−0.824015 + 0.566567i \(0.808271\pi\)
\(314\) −20.9613 14.3678i −1.18292 0.810821i
\(315\) −4.12018 7.14097i −0.232146 0.402348i
\(316\) −9.75696 2.58826i −0.548872 0.145601i
\(317\) −11.3539 15.6272i −0.637696 0.877713i 0.360794 0.932645i \(-0.382506\pi\)
−0.998490 + 0.0549323i \(0.982506\pi\)
\(318\) −17.5689 2.86657i −0.985217 0.160749i
\(319\) −12.6967 17.4755i −0.710877 0.978438i
\(320\) −8.64790 + 15.6593i −0.483433 + 0.875382i
\(321\) −3.02250 1.66427i −0.168700 0.0928906i
\(322\) −3.48970 4.53613i −0.194474 0.252788i
\(323\) 0.438876 1.35072i 0.0244197 0.0751561i
\(324\) −17.9514 1.32153i −0.997301 0.0734185i
\(325\) 6.55505 + 27.6834i 0.363609 + 1.53560i
\(326\) −11.4635 3.38008i −0.634906 0.187205i
\(327\) −1.23672 + 6.45959i −0.0683906 + 0.357216i
\(328\) 0.535636 + 6.49464i 0.0295755 + 0.358607i
\(329\) 6.66517 9.17382i 0.367463 0.505769i
\(330\) 2.36657 + 21.1186i 0.130275 + 1.16254i
\(331\) 10.4621 + 14.3998i 0.575049 + 0.791487i 0.993142 0.116918i \(-0.0373013\pi\)
−0.418093 + 0.908404i \(0.637301\pi\)
\(332\) 12.3787 + 7.99491i 0.679368 + 0.438778i
\(333\) −9.40319 + 11.3356i −0.515292 + 0.621184i
\(334\) 17.0484 0.467738i 0.932845 0.0255935i
\(335\) 23.8317 15.8702i 1.30206 0.867080i
\(336\) 1.98019 + 8.28127i 0.108028 + 0.451780i
\(337\) 0.423817 + 1.30438i 0.0230868 + 0.0710539i 0.961936 0.273274i \(-0.0881067\pi\)
−0.938849 + 0.344328i \(0.888107\pi\)
\(338\) −27.3881 + 0.751418i −1.48971 + 0.0408717i
\(339\) 21.4232 + 4.10157i 1.16355 + 0.222767i
\(340\) 4.51404 + 3.18384i 0.244808 + 0.172668i
\(341\) 37.7221 12.2566i 2.04277 0.663735i
\(342\) 4.04927 2.72046i 0.218959 0.147106i
\(343\) 15.3496i 0.828802i
\(344\) 24.3743 + 5.75523i 1.31417 + 0.310301i
\(345\) −8.33691 9.65078i −0.448844 0.519581i
\(346\) −12.5767 16.3479i −0.676126 0.878870i
\(347\) −1.93818 1.40817i −0.104047 0.0755947i 0.534545 0.845140i \(-0.320483\pi\)
−0.638592 + 0.769545i \(0.720483\pi\)
\(348\) −13.9444 13.3234i −0.747500 0.714208i
\(349\) −36.4006 −1.94848 −0.974240 0.225515i \(-0.927593\pi\)
−0.974240 + 0.225515i \(0.927593\pi\)
\(350\) −5.48158 + 6.74342i −0.293003 + 0.360451i
\(351\) 27.5106 10.8283i 1.46841 0.577973i
\(352\) 3.86479 21.6047i 0.205994 1.15154i
\(353\) 9.09263 12.5149i 0.483952 0.666103i −0.495306 0.868718i \(-0.664944\pi\)
0.979258 + 0.202616i \(0.0649442\pi\)
\(354\) 12.3731 12.2584i 0.657622 0.651525i
\(355\) 3.30333 4.17685i 0.175322 0.221684i
\(356\) −1.38234 25.1731i −0.0732638 1.33417i
\(357\) 2.60879 0.327792i 0.138072 0.0173486i
\(358\) 4.80359 + 13.5113i 0.253878 + 0.714092i
\(359\) 7.56131 + 23.2713i 0.399070 + 1.22821i 0.925746 + 0.378146i \(0.123438\pi\)
−0.526675 + 0.850066i \(0.676562\pi\)
\(360\) 5.45187 + 18.1735i 0.287339 + 0.957829i
\(361\) 5.46278 16.8127i 0.287515 0.884879i
\(362\) 4.47969 0.122905i 0.235447 0.00645973i
\(363\) −2.98482 6.35411i −0.156662 0.333504i
\(364\) −8.82843 10.8467i −0.462736 0.568521i
\(365\) −5.35426 1.98477i −0.280255 0.103888i
\(366\) 11.7764 1.80902i 0.615561 0.0945590i
\(367\) −3.03964 4.18371i −0.158668 0.218388i 0.722280 0.691601i \(-0.243094\pi\)
−0.880948 + 0.473213i \(0.843094\pi\)
\(368\) 5.41732 + 12.0057i 0.282398 + 0.625841i
\(369\) 5.31988 + 4.41300i 0.276942 + 0.229732i
\(370\) 14.6993 + 4.99479i 0.764178 + 0.259667i
\(371\) 7.22575 + 5.24981i 0.375142 + 0.272557i
\(372\) 31.1792 16.7916i 1.61657 0.870605i
\(373\) 7.14857 22.0010i 0.370139 1.13917i −0.576561 0.817054i \(-0.695606\pi\)
0.946700 0.322116i \(-0.104394\pi\)
\(374\) −6.50064 1.91675i −0.336140 0.0991127i
\(375\) −11.3430 + 15.6951i −0.585752 + 0.810490i
\(376\) −19.7805 + 17.0228i −1.02010 + 0.877882i
\(377\) 30.1272 + 9.78892i 1.55163 + 0.504155i
\(378\) 7.74585 + 4.64380i 0.398404 + 0.238851i
\(379\) 6.71591 9.24366i 0.344973 0.474815i −0.600913 0.799315i \(-0.705196\pi\)
0.945886 + 0.324500i \(0.105196\pi\)
\(380\) −4.20208 2.96381i −0.215562 0.152040i
\(381\) 3.61814 + 3.85810i 0.185363 + 0.197656i
\(382\) 1.93801 6.57275i 0.0991571 0.336291i
\(383\) −1.88563 + 1.36999i −0.0963511 + 0.0700031i −0.634918 0.772580i \(-0.718966\pi\)
0.538567 + 0.842583i \(0.318966\pi\)
\(384\) −0.0556179 19.5958i −0.00283824 0.999996i
\(385\) 3.70596 9.99746i 0.188873 0.509518i
\(386\) 22.5532 + 15.4589i 1.14793 + 0.786839i
\(387\) 22.4476 14.2035i 1.14107 0.722005i
\(388\) −3.45699 + 13.0318i −0.175502 + 0.661589i
\(389\) −18.9031 6.14200i −0.958426 0.311412i −0.212291 0.977206i \(-0.568093\pi\)
−0.746135 + 0.665795i \(0.768093\pi\)
\(390\) −21.0117 23.0156i −1.06397 1.16544i
\(391\) 3.86818 1.25685i 0.195622 0.0635615i
\(392\) −3.56807 + 15.1113i −0.180215 + 0.763237i
\(393\) −29.8734 + 3.75356i −1.50691 + 0.189342i
\(394\) 25.0765 8.91531i 1.26333 0.449147i
\(395\) 8.85212 + 7.00083i 0.445398 + 0.352250i
\(396\) −13.5071 18.9597i −0.678756 0.952763i
\(397\) 14.0290 + 10.1927i 0.704098 + 0.511557i 0.881264 0.472624i \(-0.156693\pi\)
−0.177167 + 0.984181i \(0.556693\pi\)
\(398\) −2.39793 + 3.49836i −0.120197 + 0.175357i
\(399\) −2.42850 + 0.305139i −0.121577 + 0.0152760i
\(400\) 15.8441 12.2051i 0.792207 0.610253i
\(401\) 10.2267i 0.510695i 0.966849 + 0.255348i \(0.0821899\pi\)
−0.966849 + 0.255348i \(0.917810\pi\)
\(402\) −14.3695 + 27.8800i −0.716684 + 1.39053i
\(403\) −34.1893 + 47.0575i −1.70309 + 2.34410i
\(404\) −7.07403 + 2.73576i −0.351946 + 0.136109i
\(405\) 17.8194 + 9.35251i 0.885452 + 0.464730i
\(406\) 3.24150 + 9.11751i 0.160873 + 0.452495i
\(407\) −19.0474 −0.944147
\(408\) −6.01659 0.645502i −0.297866 0.0319571i
\(409\) −4.86517 14.9735i −0.240567 0.740390i −0.996334 0.0855491i \(-0.972736\pi\)
0.755767 0.654841i \(-0.227264\pi\)
\(410\) 2.34410 6.89850i 0.115767 0.340693i
\(411\) 0.119145 + 0.0228109i 0.00587701 + 0.00112518i
\(412\) −18.0741 4.79459i −0.890449 0.236212i
\(413\) −8.31114 + 2.70045i −0.408964 + 0.132881i
\(414\) 13.1190 + 4.80222i 0.644764 + 0.236016i
\(415\) −9.13187 13.7130i −0.448266 0.673145i
\(416\) 14.0377 + 28.9637i 0.688255 + 1.42006i
\(417\) 11.7405 + 12.5191i 0.574934 + 0.613065i
\(418\) 6.05139 + 1.78428i 0.295983 + 0.0872721i
\(419\) −5.59286 + 4.06345i −0.273229 + 0.198513i −0.715959 0.698143i \(-0.754010\pi\)
0.442730 + 0.896655i \(0.354010\pi\)
\(420\) 1.65873 9.37413i 0.0809377 0.457411i
\(421\) −0.0259883 0.0188816i −0.00126659 0.000920234i 0.587152 0.809477i \(-0.300249\pi\)
−0.588418 + 0.808557i \(0.700249\pi\)
\(422\) 2.82871 + 3.67693i 0.137699 + 0.178990i
\(423\) −1.77504 + 27.6229i −0.0863052 + 1.34307i
\(424\) −13.4080 15.5801i −0.651148 0.756637i
\(425\) −3.21048 5.27585i −0.155731 0.255916i
\(426\) −0.939380 + 5.75736i −0.0455131 + 0.278945i
\(427\) −5.68534 1.84728i −0.275133 0.0893961i
\(428\) −1.43709 3.71598i −0.0694645 0.179619i
\(429\) 33.4939 + 18.4426i 1.61710 + 0.890419i
\(430\) −22.4305 16.7604i −1.08169 0.808258i
\(431\) 12.6570 9.19585i 0.609666 0.442948i −0.239631 0.970864i \(-0.577026\pi\)
0.849297 + 0.527916i \(0.177026\pi\)
\(432\) −14.8934 14.4978i −0.716560 0.697526i
\(433\) 17.3778 12.6257i 0.835125 0.606754i −0.0858797 0.996306i \(-0.527370\pi\)
0.921005 + 0.389552i \(0.127370\pi\)
\(434\) −17.7614 + 0.487301i −0.852575 + 0.0233912i
\(435\) 8.36364 + 19.8746i 0.401006 + 0.952913i
\(436\) −5.88997 + 4.79402i −0.282078 + 0.229592i
\(437\) −3.60085 + 1.16999i −0.172252 + 0.0559681i
\(438\) 6.18278 0.949765i 0.295425 0.0453815i
\(439\) 9.30974 + 3.02492i 0.444330 + 0.144371i 0.522632 0.852558i \(-0.324950\pi\)
−0.0783026 + 0.996930i \(0.524950\pi\)
\(440\) −13.5880 + 20.4326i −0.647783 + 0.974087i
\(441\) 8.80574 + 13.9168i 0.419321 + 0.662705i
\(442\) 9.36471 3.32939i 0.445434 0.158363i
\(443\) −31.2816 −1.48623 −0.743117 0.669162i \(-0.766653\pi\)
−0.743117 + 0.669162i \(0.766653\pi\)
\(444\) −16.7321 + 3.04218i −0.794072 + 0.144376i
\(445\) −9.79712 + 26.4294i −0.464428 + 1.25287i
\(446\) 25.3694 + 32.9766i 1.20127 + 1.56149i
\(447\) −11.3327 + 20.5815i −0.536020 + 0.973473i
\(448\) −4.39783 + 8.79355i −0.207778 + 0.415456i
\(449\) 22.3573i 1.05511i 0.849522 + 0.527553i \(0.176890\pi\)
−0.849522 + 0.527553i \(0.823110\pi\)
\(450\) 2.50573 21.0647i 0.118121 0.992999i
\(451\) 8.93914i 0.420928i
\(452\) 15.8993 + 19.5341i 0.747842 + 0.918805i
\(453\) −4.81248 + 8.74000i −0.226110 + 0.410641i
\(454\) −15.6935 + 12.0732i −0.736532 + 0.566624i
\(455\) 4.22084 + 15.0557i 0.197876 + 0.705822i
\(456\) 5.60079 + 0.600892i 0.262281 + 0.0281393i
\(457\) 8.89882 0.416269 0.208135 0.978100i \(-0.433261\pi\)
0.208135 + 0.978100i \(0.433261\pi\)
\(458\) −10.4648 29.4347i −0.488986 1.37539i
\(459\) −4.95350 + 4.08116i −0.231210 + 0.190492i
\(460\) −0.206607 14.7246i −0.00963312 0.686536i
\(461\) 9.82352 + 3.19186i 0.457527 + 0.148660i 0.528708 0.848804i \(-0.322677\pi\)
−0.0711808 + 0.997463i \(0.522677\pi\)
\(462\) 1.77340 + 11.5445i 0.0825061 + 0.537098i
\(463\) 29.6245 9.62559i 1.37677 0.447339i 0.475163 0.879898i \(-0.342389\pi\)
0.901606 + 0.432559i \(0.142389\pi\)
\(464\) −2.43847 22.1359i −0.113203 1.02764i
\(465\) −39.4531 + 3.32849i −1.82959 + 0.154355i
\(466\) 0.298211 + 10.8694i 0.0138144 + 0.503513i
\(467\) 16.3829 11.9028i 0.758108 0.550798i −0.140221 0.990120i \(-0.544781\pi\)
0.898329 + 0.439322i \(0.144781\pi\)
\(468\) 32.3681 + 10.8513i 1.49622 + 0.501604i
\(469\) 12.7315 9.24998i 0.587886 0.427124i
\(470\) 27.8674 8.64363i 1.28543 0.398701i
\(471\) −27.2643 15.0125i −1.25627 0.691737i
\(472\) 20.0437 1.65307i 0.922585 0.0760888i
\(473\) 32.6729 + 10.6161i 1.50230 + 0.488128i
\(474\) −12.2017 1.99085i −0.560445 0.0914430i
\(475\) 2.98860 + 4.91124i 0.137127 + 0.225343i
\(476\) 2.55038 + 1.64719i 0.116896 + 0.0754988i
\(477\) −21.7571 1.39811i −0.996191 0.0640149i
\(478\) 33.1077 25.4702i 1.51431 1.16498i
\(479\) 27.2744 + 19.8160i 1.24620 + 0.905415i 0.997995 0.0632933i \(-0.0201604\pi\)
0.248202 + 0.968708i \(0.420160\pi\)
\(480\) −8.67291 + 20.1192i −0.395862 + 0.918310i
\(481\) 22.5983 16.4186i 1.03039 0.748626i
\(482\) 2.76191 9.36700i 0.125801 0.426655i
\(483\) −4.79484 5.11285i −0.218173 0.232643i
\(484\) 2.07849 7.83529i 0.0944769 0.356149i
\(485\) 9.35059 11.8232i 0.424589 0.536866i
\(486\) −22.0390 + 0.530806i −0.999710 + 0.0240779i
\(487\) −3.32947 + 1.08181i −0.150873 + 0.0490214i −0.383480 0.923549i \(-0.625274\pi\)
0.232607 + 0.972571i \(0.425274\pi\)
\(488\) 11.7572 + 7.14436i 0.532224 + 0.323410i
\(489\) −14.3764 2.75242i −0.650122 0.124469i
\(490\) 10.3909 13.9062i 0.469415 0.628218i
\(491\) −2.62548 8.08041i −0.118486 0.364664i 0.874172 0.485617i \(-0.161405\pi\)
−0.992658 + 0.120953i \(0.961405\pi\)
\(492\) 1.42773 + 7.85255i 0.0643668 + 0.354020i
\(493\) −6.87682 −0.309716
\(494\) −8.71753 + 3.09930i −0.392220 + 0.139444i
\(495\) 5.40415 + 25.4595i 0.242899 + 1.14432i
\(496\) 40.0401 + 8.30191i 1.79786 + 0.372767i
\(497\) 1.72037 2.36789i 0.0771691 0.106214i
\(498\) 16.0424 + 8.26835i 0.718878 + 0.370514i
\(499\) 32.5279i 1.45615i 0.685498 + 0.728074i \(0.259584\pi\)
−0.685498 + 0.728074i \(0.740416\pi\)
\(500\) −21.6846 + 5.45701i −0.969764 + 0.244045i
\(501\) 20.7248 2.60405i 0.925915 0.116340i
\(502\) −16.9123 11.5924i −0.754834 0.517396i
\(503\) −30.5719 22.2118i −1.36313 0.990375i −0.998239 0.0593269i \(-0.981105\pi\)
−0.364896 0.931048i \(-0.618895\pi\)
\(504\) 3.40168 + 9.85796i 0.151523 + 0.439109i
\(505\) 8.47278 + 0.346116i 0.377034 + 0.0154019i
\(506\) 6.05234 + 17.0237i 0.269059 + 0.756794i
\(507\) −33.2942 + 4.18338i −1.47865 + 0.185791i
\(508\) 0.334876 + 6.09828i 0.0148577 + 0.270567i
\(509\) 31.4258 10.2108i 1.39292 0.452588i 0.486027 0.873944i \(-0.338446\pi\)
0.906895 + 0.421356i \(0.138446\pi\)
\(510\) 5.88209 + 3.34232i 0.260463 + 0.148000i
\(511\) −2.98490 0.969852i −0.132044 0.0429037i
\(512\) 14.5010 17.3701i 0.640858 0.767659i
\(513\) 4.61117 3.79911i 0.203588 0.167735i
\(514\) −9.72794 + 14.1922i −0.429081 + 0.625990i
\(515\) 16.3980 + 12.9686i 0.722581 + 0.571465i
\(516\) 30.3970 + 4.10725i 1.33815 + 0.180812i
\(517\) −28.9610 + 21.0414i −1.27370 + 0.925400i
\(518\) 8.18438 + 2.41321i 0.359601 + 0.106030i
\(519\) −17.2803 18.4264i −0.758522 0.808829i
\(520\) −1.49151 35.9544i −0.0654071 1.57670i
\(521\) −13.6016 + 18.7210i −0.595897 + 0.820182i −0.995325 0.0965823i \(-0.969209\pi\)
0.399428 + 0.916765i \(0.369209\pi\)
\(522\) −18.5867 14.5765i −0.813517 0.637997i
\(523\) 18.4875 + 6.00696i 0.808403 + 0.262666i 0.683921 0.729556i \(-0.260273\pi\)
0.124482 + 0.992222i \(0.460273\pi\)
\(524\) −29.2045 18.8621i −1.27580 0.823993i
\(525\) −5.87710 + 8.87366i −0.256498 + 0.387278i
\(526\) 1.40201 4.75491i 0.0611305 0.207324i
\(527\) 3.90201 12.0091i 0.169974 0.523127i
\(528\) 2.13337 26.7955i 0.0928429 1.16613i
\(529\) 9.83540 + 7.14584i 0.427626 + 0.310689i
\(530\) 6.80815 + 21.9497i 0.295727 + 0.953435i
\(531\) 13.6193 16.4181i 0.591029 0.712486i
\(532\) −2.37412 1.53335i −0.102931 0.0664793i
\(533\) −7.70542 10.6056i −0.333759 0.459380i
\(534\) −4.68818 30.5191i −0.202877 1.32069i
\(535\) −0.181814 + 4.45074i −0.00786052 + 0.192422i
\(536\) −33.4083 + 13.9851i −1.44302 + 0.604064i
\(537\) 7.46712 + 15.8961i 0.322230 + 0.685966i
\(538\) 0.00277491 + 0.101141i 0.000119635 + 0.00436051i
\(539\) −6.58164 + 20.2562i −0.283491 + 0.872497i
\(540\) 8.81355 + 21.5017i 0.379275 + 0.925284i
\(541\) −11.0215 33.9206i −0.473850 1.45836i −0.847503 0.530791i \(-0.821895\pi\)
0.373653 0.927569i \(-0.378105\pi\)
\(542\) 19.3612 6.88339i 0.831635 0.295667i
\(543\) 5.44572 0.684250i 0.233698 0.0293640i
\(544\) −4.84125 5.03822i −0.207567 0.216012i
\(545\) 8.17555 2.29200i 0.350202 0.0981786i
\(546\) −12.0552 12.1680i −0.515915 0.520742i
\(547\) 18.3132 25.2059i 0.783015 1.07773i −0.211928 0.977285i \(-0.567974\pi\)
0.994943 0.100442i \(-0.0320258\pi\)
\(548\) 0.0884243 + 0.108639i 0.00377730 + 0.00464082i
\(549\) 14.1386 3.61000i 0.603422 0.154071i
\(550\) 23.0364 14.8990i 0.982277 0.635295i
\(551\) 6.40157 0.272716
\(552\) 8.03560 + 13.9877i 0.342018 + 0.595356i
\(553\) 5.01833 + 3.64603i 0.213401 + 0.155045i
\(554\) −2.59589 + 1.99705i −0.110289 + 0.0848466i
\(555\) 18.5131 + 4.33459i 0.785838 + 0.183993i
\(556\) 1.08664 + 19.7883i 0.0460838 + 0.839211i
\(557\) 9.62827i 0.407963i 0.978975 + 0.203981i \(0.0653882\pi\)
−0.978975 + 0.203981i \(0.934612\pi\)
\(558\) 36.0017 24.1874i 1.52407 1.02393i
\(559\) −47.9148 + 15.5685i −2.02658 + 0.658476i
\(560\) 8.42724 7.05803i 0.356116 0.298256i
\(561\) −8.15243 1.56082i −0.344196 0.0658979i
\(562\) −0.986095 35.9417i −0.0415959 1.51611i
\(563\) 4.47722 + 13.7795i 0.188692 + 0.580735i 0.999992 0.00389491i \(-0.00123979\pi\)
−0.811300 + 0.584630i \(0.801240\pi\)
\(564\) −22.0800 + 23.1093i −0.929736 + 0.973075i
\(565\) −7.60142 27.1142i −0.319794 1.14070i
\(566\) −1.04759 38.1833i −0.0440337 1.60496i
\(567\) 9.99560 + 4.73632i 0.419776 + 0.198907i
\(568\) −5.10562 + 4.39381i −0.214227 + 0.184360i
\(569\) −17.5865 24.2058i −0.737266 1.01476i −0.998771 0.0495571i \(-0.984219\pi\)
0.261506 0.965202i \(-0.415781\pi\)
\(570\) −5.47559 3.11133i −0.229347 0.130319i
\(571\) −27.4754 + 37.8167i −1.14981 + 1.58258i −0.406470 + 0.913664i \(0.633240\pi\)
−0.743340 + 0.668914i \(0.766760\pi\)
\(572\) 15.9252 + 41.1787i 0.665865 + 1.72177i
\(573\) 1.57813 8.24286i 0.0659274 0.344351i
\(574\) 1.13254 3.84100i 0.0472713 0.160320i
\(575\) −6.34793 + 15.1912i −0.264727 + 0.633518i
\(576\) −2.40563 23.8791i −0.100234 0.994964i
\(577\) −5.76476 + 17.7421i −0.239990 + 0.738613i 0.756430 + 0.654074i \(0.226942\pi\)
−0.996420 + 0.0845388i \(0.973058\pi\)
\(578\) 17.3451 13.3438i 0.721461 0.555030i
\(579\) 29.3348 + 16.1526i 1.21911 + 0.671277i
\(580\) −7.36106 + 23.7855i −0.305651 + 0.987637i
\(581\) −5.32254 7.32584i −0.220816 0.303927i
\(582\) −2.65906 + 16.2971i −0.110222 + 0.675538i
\(583\) −16.5732 22.8111i −0.686394 0.944740i
\(584\) 6.17272 + 3.75090i 0.255429 + 0.155213i
\(585\) −28.3574 25.5474i −1.17243 1.05626i
\(586\) −16.7463 + 24.4314i −0.691784 + 1.00925i
\(587\) −6.80985 20.9586i −0.281073 0.865053i −0.987548 0.157316i \(-0.949716\pi\)
0.706476 0.707737i \(-0.250284\pi\)
\(588\) −2.54637 + 18.8452i −0.105011 + 0.777162i
\(589\) −3.63235 + 11.1792i −0.149668 + 0.460631i
\(590\) −21.2900 7.23432i −0.876497 0.297832i
\(591\) 29.5026 13.8587i 1.21357 0.570072i
\(592\) −17.0553 9.73359i −0.700969 0.400048i
\(593\) 35.4019i 1.45378i −0.686753 0.726891i \(-0.740964\pi\)
0.686753 0.726891i \(-0.259036\pi\)
\(594\) −18.7260 21.4990i −0.768337 0.882114i
\(595\) −1.88144 2.82529i −0.0771315 0.115826i
\(596\) −25.3037 + 9.78579i −1.03648 + 0.400842i
\(597\) −2.50552 + 4.55030i −0.102544 + 0.186232i
\(598\) −21.8548 14.9802i −0.893709 0.612587i
\(599\) −25.3046 −1.03392 −0.516958 0.856010i \(-0.672936\pi\)
−0.516958 + 0.856010i \(0.672936\pi\)
\(600\) 17.8566 16.7672i 0.728994 0.684520i
\(601\) −16.9777 −0.692535 −0.346267 0.938136i \(-0.612551\pi\)
−0.346267 + 0.938136i \(0.612551\pi\)
\(602\) −12.6940 8.70103i −0.517370 0.354628i
\(603\) −14.1891 + 35.6978i −0.577824 + 1.45373i
\(604\) −10.7453 + 4.15556i −0.437220 + 0.169088i
\(605\) −5.62199 + 7.10866i −0.228566 + 0.289008i
\(606\) −8.29629 + 4.17862i −0.337014 + 0.169745i
\(607\) 44.7939i 1.81813i 0.416657 + 0.909064i \(0.363202\pi\)
−0.416657 + 0.909064i \(0.636798\pi\)
\(608\) 4.50668 + 4.69003i 0.182770 + 0.190206i
\(609\) 5.03888 + 10.7268i 0.204186 + 0.434672i
\(610\) −8.87352 12.5640i −0.359278 0.508700i
\(611\) 16.2226 49.9280i 0.656295 2.01987i
\(612\) −7.41076 0.0690202i −0.299562 0.00278998i
\(613\) −3.17062 9.75817i −0.128060 0.394129i 0.866386 0.499375i \(-0.166437\pi\)
−0.994446 + 0.105246i \(0.966437\pi\)
\(614\) 19.0254 27.7564i 0.767804 1.12016i
\(615\) 2.03426 8.68838i 0.0820294 0.350349i
\(616\) −7.00369 + 11.5257i −0.282187 + 0.464384i
\(617\) −8.96812 12.3436i −0.361043 0.496933i 0.589396 0.807844i \(-0.299366\pi\)
−0.950439 + 0.310911i \(0.899366\pi\)
\(618\) −22.6029 3.68793i −0.909224 0.148350i
\(619\) 3.06471 + 4.21821i 0.123181 + 0.169544i 0.866154 0.499777i \(-0.166585\pi\)
−0.742973 + 0.669322i \(0.766585\pi\)
\(620\) −37.3603 26.3510i −1.50043 1.05828i
\(621\) 16.5640 + 4.28840i 0.664689 + 0.172087i
\(622\) −4.67436 + 3.59605i −0.187425 + 0.144188i
\(623\) −4.78733 + 14.7339i −0.191800 + 0.590301i
\(624\) 20.5663 + 33.6297i 0.823311 + 1.34627i
\(625\) 24.6674 + 4.06464i 0.986694 + 0.162585i
\(626\) −4.02209 + 13.6409i −0.160755 + 0.545200i
\(627\) 7.58903 + 1.45295i 0.303077 + 0.0580254i
\(628\) −12.9632 33.5198i −0.517288 1.33758i
\(629\) −3.56428 + 4.90581i −0.142117 + 0.195608i
\(630\) 0.903502 11.6242i 0.0359964 0.463120i
\(631\) −16.4434 22.6324i −0.654601 0.900981i 0.344687 0.938718i \(-0.387985\pi\)
−0.999288 + 0.0377370i \(0.987985\pi\)
\(632\) −9.31192 10.8205i −0.370408 0.430416i
\(633\) 3.88664 + 4.14441i 0.154480 + 0.164726i
\(634\) −0.749198 27.3071i −0.0297544 1.08451i
\(635\) 2.37339 6.40261i 0.0941850 0.254080i
\(636\) −18.2020 17.3913i −0.721756 0.689610i
\(637\) −9.65197 29.7057i −0.382425 1.17698i
\(638\) −0.837805 30.5367i −0.0331690 1.20896i
\(639\) −0.458161 + 7.12984i −0.0181246 + 0.282052i
\(640\) −22.6083 + 11.3519i −0.893671 + 0.448722i
\(641\) −39.4188 + 12.8080i −1.55695 + 0.505884i −0.955991 0.293396i \(-0.905215\pi\)
−0.600959 + 0.799280i \(0.705215\pi\)
\(642\) −2.19503 4.35804i −0.0866308 0.171998i
\(643\) 19.4002i 0.765068i −0.923941 0.382534i \(-0.875051\pi\)
0.923941 0.382534i \(-0.124949\pi\)
\(644\) −0.443786 8.08158i −0.0174876 0.318459i
\(645\) −29.3405 17.7536i −1.15528 0.699047i
\(646\) 1.59193 1.22469i 0.0626337 0.0481849i
\(647\) −25.7208 18.6872i −1.01119 0.734672i −0.0467306 0.998908i \(-0.514880\pi\)
−0.964458 + 0.264236i \(0.914880\pi\)
\(648\) −19.8835 15.8948i −0.781098 0.624409i
\(649\) 27.5878 1.08292
\(650\) −14.4882 + 37.5336i −0.568275 + 1.47219i
\(651\) −21.5916 + 2.71296i −0.846242 + 0.106329i
\(652\) −10.6695 13.1086i −0.417850 0.513374i
\(653\) −6.47169 + 8.90751i −0.253257 + 0.348578i −0.916648 0.399694i \(-0.869116\pi\)
0.663392 + 0.748272i \(0.269116\pi\)
\(654\) −6.60747 + 6.54622i −0.258372 + 0.255977i
\(655\) 21.5445 + 32.3525i 0.841812 + 1.26412i
\(656\) −4.56806 + 8.00421i −0.178353 + 0.312512i
\(657\) 7.42301 1.89531i 0.289599 0.0739431i
\(658\) 15.1099 5.37195i 0.589045 0.209420i
\(659\) −2.86099 8.80524i −0.111449 0.343003i 0.879741 0.475453i \(-0.157716\pi\)
−0.991190 + 0.132449i \(0.957716\pi\)
\(660\) −14.1250 + 26.5268i −0.549816 + 1.03255i
\(661\) −5.27672 + 16.2401i −0.205240 + 0.631665i 0.794463 + 0.607313i \(0.207752\pi\)
−0.999703 + 0.0243526i \(0.992248\pi\)
\(662\) 0.690354 + 25.1624i 0.0268314 + 0.977963i
\(663\) 11.0176 5.17550i 0.427890 0.201000i
\(664\) 8.04717 + 19.2235i 0.312291 + 0.746017i
\(665\) 1.75141 + 2.63004i 0.0679169 + 0.101988i
\(666\) −20.0322 + 5.70437i −0.776232 + 0.221040i
\(667\) 10.7757 + 14.8315i 0.417237 + 0.574278i
\(668\) 20.2607 + 13.0856i 0.783911 + 0.506298i
\(669\) 34.8574 + 37.1693i 1.34767 + 1.43705i
\(670\) 40.4886 + 0.542520i 1.56421 + 0.0209594i
\(671\) 15.2676 + 11.0926i 0.589400 + 0.428224i
\(672\) −4.31152 + 11.2433i −0.166320 + 0.433720i
\(673\) −0.743148 + 2.28717i −0.0286462 + 0.0881641i −0.964357 0.264603i \(-0.914759\pi\)
0.935711 + 0.352767i \(0.114759\pi\)
\(674\) −0.548552 + 1.86041i −0.0211294 + 0.0716603i
\(675\) 0.541210 25.9751i 0.0208312 0.999783i
\(676\) −32.5487 21.0220i −1.25187 0.808537i
\(677\) −14.7796 4.80217i −0.568025 0.184562i 0.0109039 0.999941i \(-0.496529\pi\)
−0.578929 + 0.815378i \(0.696529\pi\)
\(678\) 21.7105 + 21.9136i 0.833786 + 0.841588i
\(679\) 4.86978 6.70268i 0.186885 0.257225i
\(680\) 2.71990 + 7.32318i 0.104303 + 0.280831i
\(681\) −17.6887 + 16.5886i −0.677834 + 0.635675i
\(682\) 53.8024 + 15.8639i 2.06020 + 0.607461i
\(683\) −17.7854 + 12.9218i −0.680539 + 0.494440i −0.873536 0.486759i \(-0.838179\pi\)
0.192998 + 0.981199i \(0.438179\pi\)
\(684\) 6.89861 + 0.0642503i 0.263775 + 0.00245667i
\(685\) −0.0422753 0.150796i −0.00161526 0.00576161i
\(686\) 12.2730 17.9052i 0.468585 0.683623i
\(687\) −16.2673 34.6300i −0.620637 1.32122i
\(688\) 23.8307 + 26.2022i 0.908537 + 0.998950i
\(689\) 39.3257 + 12.7777i 1.49819 + 0.486792i
\(690\) −2.00852 17.9234i −0.0764629 0.682333i
\(691\) −10.1931 + 3.31195i −0.387766 + 0.125993i −0.496410 0.868088i \(-0.665349\pi\)
0.108645 + 0.994081i \(0.465349\pi\)
\(692\) −1.59938 29.1255i −0.0607992 1.10719i
\(693\) 3.53892 + 13.8602i 0.134432 + 0.526507i
\(694\) −1.13495 3.19232i −0.0430821 0.121179i
\(695\) 7.70140 20.7758i 0.292131 0.788073i
\(696\) −5.61317 26.6910i −0.212767 1.01172i
\(697\) 2.30234 + 1.67275i 0.0872075 + 0.0633599i
\(698\) −42.4609 29.1046i −1.60717 1.10162i
\(699\) 1.66024 + 13.2133i 0.0627960 + 0.499773i
\(700\) −11.7860 + 3.48326i −0.445469 + 0.131655i
\(701\) 19.3564i 0.731081i −0.930796 0.365540i \(-0.880884\pi\)
0.930796 0.365540i \(-0.119116\pi\)
\(702\) 40.7488 + 9.36533i 1.53796 + 0.353471i
\(703\) 3.31796 4.56678i 0.125139 0.172239i
\(704\) 21.7826 22.1116i 0.820961 0.833361i
\(705\) 32.9369 13.8605i 1.24048 0.522018i
\(706\) 20.6129 7.32842i 0.775778 0.275809i
\(707\) 4.66072 0.175284
\(708\) 24.2344 4.40622i 0.910785 0.165596i
\(709\) 4.73586 + 14.5755i 0.177859 + 0.547393i 0.999752 0.0222477i \(-0.00708225\pi\)
−0.821894 + 0.569641i \(0.807082\pi\)
\(710\) 7.19295 2.23104i 0.269947 0.0837294i
\(711\) −15.1105 0.970993i −0.566687 0.0364151i
\(712\) 18.5150 30.4695i 0.693879 1.14189i
\(713\) −32.0149 + 10.4023i −1.19897 + 0.389568i
\(714\) 3.30522 + 1.70353i 0.123695 + 0.0637529i
\(715\) 2.01478 49.3210i 0.0753484 1.84450i
\(716\) −5.19976 + 19.6015i −0.194324 + 0.732543i
\(717\) 37.3170 34.9960i 1.39363 1.30695i
\(718\) −9.78668 + 33.1915i −0.365236 + 1.23870i
\(719\) −16.8458 + 12.2392i −0.628244 + 0.456446i −0.855791 0.517321i \(-0.826929\pi\)
0.227547 + 0.973767i \(0.426929\pi\)
\(720\) −8.17132 + 25.5584i −0.304527 + 0.952504i
\(721\) 9.29613 + 6.75404i 0.346206 + 0.251533i
\(722\) 19.8151 15.2440i 0.737441 0.567323i
\(723\) 2.24904 11.7471i 0.0836427 0.436880i
\(724\) 5.32379 + 3.43843i 0.197857 + 0.127788i
\(725\) 18.1447 21.1112i 0.673879 0.784052i
\(726\) 1.59875 9.79856i 0.0593351 0.363659i
\(727\) −17.4446 5.66809i −0.646984 0.210218i −0.0329001 0.999459i \(-0.510474\pi\)
−0.614084 + 0.789241i \(0.710474\pi\)
\(728\) −1.62567 19.7114i −0.0602514 0.730555i
\(729\) −26.8005 + 3.27632i −0.992610 + 0.121345i
\(730\) −4.65874 6.59628i −0.172428 0.244139i
\(731\) 8.84822 6.42861i 0.327263 0.237771i
\(732\) 15.1834 + 7.30574i 0.561196 + 0.270028i
\(733\) −18.0256 + 13.0963i −0.665790 + 0.483724i −0.868613 0.495491i \(-0.834988\pi\)
0.202824 + 0.979215i \(0.434988\pi\)
\(734\) −0.200574 7.31064i −0.00740334 0.269841i
\(735\) 11.0067 18.1902i 0.405988 0.670956i
\(736\) −3.28006 + 18.3360i −0.120905 + 0.675875i
\(737\) −47.2489 + 15.3521i −1.74044 + 0.565502i
\(738\) 2.67711 + 9.40130i 0.0985459 + 0.346067i
\(739\) 22.6043 + 7.34458i 0.831512 + 0.270175i 0.693682 0.720281i \(-0.255987\pi\)
0.137830 + 0.990456i \(0.455987\pi\)
\(740\) 13.1529 + 17.5794i 0.483510 + 0.646230i
\(741\) −10.2562 + 4.81782i −0.376772 + 0.176987i
\(742\) 4.23121 + 11.9013i 0.155333 + 0.436910i
\(743\) 3.10386 0.113869 0.0569347 0.998378i \(-0.481867\pi\)
0.0569347 + 0.998378i \(0.481867\pi\)
\(744\) 49.7962 + 5.34248i 1.82562 + 0.195865i
\(745\) 30.3071 + 1.23805i 1.11036 + 0.0453587i
\(746\) 25.9299 19.9483i 0.949363 0.730357i
\(747\) 20.5409 + 8.16456i 0.751551 + 0.298725i
\(748\) −6.05037 7.43354i −0.221223 0.271797i
\(749\) 2.44827i 0.0894579i
\(750\) −25.7807 + 9.23868i −0.941380 + 0.337349i
\(751\) 16.8390i 0.614463i −0.951635 0.307231i \(-0.900597\pi\)
0.951635 0.307231i \(-0.0994026\pi\)
\(752\) −36.6845 + 4.04112i −1.33775 + 0.147365i
\(753\) −21.9978 12.1126i −0.801644 0.441407i
\(754\) 27.3162 + 35.5073i 0.994799 + 1.29310i
\(755\) 12.8700 + 0.525743i 0.468387 + 0.0191337i
\(756\) 5.32245 + 11.6102i 0.193576 + 0.422260i
\(757\) 35.8891 1.30441 0.652206 0.758041i \(-0.273844\pi\)
0.652206 + 0.758041i \(0.273844\pi\)
\(758\) 15.2249 5.41284i 0.552994 0.196603i
\(759\) 9.40828 + 20.0284i 0.341499 + 0.726986i
\(760\) −2.53193 6.81708i −0.0918426 0.247282i
\(761\) 2.76654 + 0.898904i 0.100287 + 0.0325852i 0.358731 0.933441i \(-0.383210\pi\)
−0.258444 + 0.966026i \(0.583210\pi\)
\(762\) 1.13573 + 7.39337i 0.0411431 + 0.267833i
\(763\) 4.43831 1.44209i 0.160678 0.0522073i
\(764\) 7.51599 6.11748i 0.271919 0.221323i
\(765\) 7.56855 + 3.37227i 0.273641 + 0.121925i
\(766\) −3.29496 + 0.0904003i −0.119052 + 0.00326630i
\(767\) −32.7308 + 23.7803i −1.18184 + 0.858659i
\(768\) 15.6032 22.9028i 0.563033 0.826434i
\(769\) −34.2245 + 24.8656i −1.23417 + 0.896675i −0.997195 0.0748416i \(-0.976155\pi\)
−0.236972 + 0.971517i \(0.576155\pi\)
\(770\) 12.3166 8.69879i 0.443858 0.313483i
\(771\) −10.1644 + 18.4597i −0.366062 + 0.664810i
\(772\) 13.9477 + 36.0654i 0.501988 + 1.29802i
\(773\) 19.9734 + 6.48976i 0.718395 + 0.233421i 0.645327 0.763906i \(-0.276721\pi\)
0.0730675 + 0.997327i \(0.476721\pi\)
\(774\) 37.5415 +