Properties

Label 441.2.z.a.268.41
Level $441$
Weight $2$
Character 441.268
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 268.41
Character \(\chi\) \(=\) 441.268
Dual form 441.2.z.a.130.41

$q$-expansion

\(f(q)\) \(=\) \(q+(1.22614 + 0.835967i) q^{2} +(0.435367 - 1.67644i) q^{3} +(0.0738918 + 0.188273i) q^{4} +(-0.839497 + 3.67808i) q^{5} +(1.93527 - 1.69160i) q^{6} +(2.50624 - 0.847796i) q^{7} +(0.593653 - 2.60096i) q^{8} +(-2.62091 - 1.45974i) q^{9} +O(q^{10})\) \(q+(1.22614 + 0.835967i) q^{2} +(0.435367 - 1.67644i) q^{3} +(0.0738918 + 0.188273i) q^{4} +(-0.839497 + 3.67808i) q^{5} +(1.93527 - 1.69160i) q^{6} +(2.50624 - 0.847796i) q^{7} +(0.593653 - 2.60096i) q^{8} +(-2.62091 - 1.45974i) q^{9} +(-4.10409 + 3.80804i) q^{10} +(3.06016 - 1.47370i) q^{11} +(0.347799 - 0.0419072i) q^{12} +(3.79355 + 2.58640i) q^{13} +(3.78173 + 1.05562i) q^{14} +(5.80059 + 3.00868i) q^{15} +(3.19875 - 2.96800i) q^{16} +(-1.28155 + 3.26534i) q^{17} +(-1.99331 - 3.98083i) q^{18} +(2.34967 - 4.06975i) q^{19} +(-0.754515 + 0.113725i) q^{20} +(-0.330145 - 4.57067i) q^{21} +(4.98414 + 0.751238i) q^{22} +(-3.10268 + 3.89064i) q^{23} +(-4.10191 - 2.12760i) q^{24} +(-8.31864 - 4.00605i) q^{25} +(2.48927 + 6.34256i) q^{26} +(-3.58822 + 3.75828i) q^{27} +(0.344808 + 0.409213i) q^{28} +(-2.21725 + 0.334196i) q^{29} +(4.59716 + 8.53815i) q^{30} +(2.86225 - 4.95757i) q^{31} +(1.12714 - 0.169890i) q^{32} +(-1.13827 - 5.77178i) q^{33} +(-4.30107 + 2.93242i) q^{34} +(1.01428 + 9.92986i) q^{35} +(0.0811652 - 0.601310i) q^{36} +(-8.60873 + 1.29756i) q^{37} +(6.28320 - 3.02583i) q^{38} +(5.98753 - 5.23363i) q^{39} +(9.06817 + 4.36700i) q^{40} +(-3.21425 + 0.991463i) q^{41} +(3.41612 - 5.88026i) q^{42} +(-2.48336 - 0.766017i) q^{43} +(0.503578 + 0.467252i) q^{44} +(7.56926 - 8.41446i) q^{45} +(-7.05676 + 2.17672i) q^{46} +(5.44048 + 3.70925i) q^{47} +(-3.58305 - 6.65468i) q^{48} +(5.56248 - 4.24956i) q^{49} +(-6.85088 - 11.8661i) q^{50} +(4.91620 + 3.57007i) q^{51} +(-0.206637 + 0.905337i) q^{52} +(-4.51251 - 0.680152i) q^{53} +(-7.54145 + 1.60854i) q^{54} +(2.85137 + 12.4927i) q^{55} +(-0.717250 - 7.02194i) q^{56} +(-5.79973 - 5.71092i) q^{57} +(-2.99803 - 1.44377i) q^{58} +(-9.08668 - 2.80287i) q^{59} +(-0.137838 + 1.31441i) q^{60} +(-1.82681 + 4.65465i) q^{61} +(7.65388 - 3.68592i) q^{62} +(-7.80619 - 1.43645i) q^{63} +(-6.33888 - 3.05265i) q^{64} +(-12.6976 + 11.7817i) q^{65} +(3.42934 - 8.02855i) q^{66} +(-7.14616 + 12.3775i) q^{67} -0.709472 q^{68} +(5.17162 + 6.89532i) q^{69} +(-7.05739 + 13.0233i) q^{70} +(5.88322 - 7.37733i) q^{71} +(-5.35263 + 5.95032i) q^{72} +(-0.305183 - 4.07239i) q^{73} +(-11.6402 - 5.60563i) q^{74} +(-10.3376 + 12.2016i) q^{75} +(0.939846 + 0.141659i) q^{76} +(6.42010 - 6.28783i) q^{77} +(11.7167 - 1.41177i) q^{78} +(-0.616621 - 1.06802i) q^{79} +(8.23120 + 14.2569i) q^{80} +(4.73835 + 7.65167i) q^{81} +(-4.76994 - 1.47133i) q^{82} +(-4.61272 + 3.14490i) q^{83} +(0.836139 - 0.399892i) q^{84} +(-10.9343 - 7.45488i) q^{85} +(-2.40458 - 3.01525i) q^{86} +(-0.405056 + 3.86258i) q^{87} +(-2.01636 - 8.83423i) q^{88} +(-1.11646 + 0.761192i) q^{89} +(16.3152 - 3.98964i) q^{90} +(11.7003 + 3.26598i) q^{91} +(-0.961765 - 0.296665i) q^{92} +(-7.06494 - 6.95677i) q^{93} +(3.56996 + 9.09611i) q^{94} +(12.9963 + 12.0588i) q^{95} +(0.205912 - 1.96355i) q^{96} +(-6.47663 + 11.2178i) q^{97} +(10.3729 - 0.560498i) q^{98} +(-10.1716 - 0.604599i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} + O(q^{10}) \) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{19}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.22614 + 0.835967i 0.867010 + 0.591118i 0.913062 0.407821i \(-0.133711\pi\)
−0.0460513 + 0.998939i \(0.514664\pi\)
\(3\) 0.435367 1.67644i 0.251359 0.967894i
\(4\) 0.0738918 + 0.188273i 0.0369459 + 0.0941366i
\(5\) −0.839497 + 3.67808i −0.375434 + 1.64489i 0.335802 + 0.941933i \(0.390993\pi\)
−0.711237 + 0.702953i \(0.751865\pi\)
\(6\) 1.93527 1.69160i 0.790070 0.690591i
\(7\) 2.50624 0.847796i 0.947270 0.320437i
\(8\) 0.593653 2.60096i 0.209888 0.919580i
\(9\) −2.62091 1.45974i −0.873637 0.486578i
\(10\) −4.10409 + 3.80804i −1.29783 + 1.20421i
\(11\) 3.06016 1.47370i 0.922673 0.444336i 0.0886483 0.996063i \(-0.471745\pi\)
0.834025 + 0.551727i \(0.186031\pi\)
\(12\) 0.347799 0.0419072i 0.100401 0.0120976i
\(13\) 3.79355 + 2.58640i 1.05214 + 0.717337i 0.960451 0.278450i \(-0.0898207\pi\)
0.0916901 + 0.995788i \(0.470773\pi\)
\(14\) 3.78173 + 1.05562i 1.01071 + 0.282126i
\(15\) 5.80059 + 3.00868i 1.49771 + 0.776838i
\(16\) 3.19875 2.96800i 0.799687 0.742001i
\(17\) −1.28155 + 3.26534i −0.310822 + 0.791961i 0.687041 + 0.726619i \(0.258909\pi\)
−0.997863 + 0.0653426i \(0.979186\pi\)
\(18\) −1.99331 3.98083i −0.469827 0.938291i
\(19\) 2.34967 4.06975i 0.539052 0.933665i −0.459904 0.887969i \(-0.652116\pi\)
0.998955 0.0456960i \(-0.0145506\pi\)
\(20\) −0.754515 + 0.113725i −0.168715 + 0.0254296i
\(21\) −0.330145 4.57067i −0.0720436 0.997401i
\(22\) 4.98414 + 0.751238i 1.06262 + 0.160164i
\(23\) −3.10268 + 3.89064i −0.646954 + 0.811254i −0.991853 0.127385i \(-0.959341\pi\)
0.344900 + 0.938640i \(0.387913\pi\)
\(24\) −4.10191 2.12760i −0.837298 0.434294i
\(25\) −8.31864 4.00605i −1.66373 0.801209i
\(26\) 2.48927 + 6.34256i 0.488186 + 1.24388i
\(27\) −3.58822 + 3.75828i −0.690553 + 0.723282i
\(28\) 0.344808 + 0.409213i 0.0651626 + 0.0773339i
\(29\) −2.21725 + 0.334196i −0.411732 + 0.0620587i −0.351643 0.936134i \(-0.614377\pi\)
−0.0600897 + 0.998193i \(0.519139\pi\)
\(30\) 4.59716 + 8.53815i 0.839323 + 1.55885i
\(31\) 2.86225 4.95757i 0.514076 0.890406i −0.485791 0.874075i \(-0.661468\pi\)
0.999867 0.0163307i \(-0.00519844\pi\)
\(32\) 1.12714 0.169890i 0.199253 0.0300325i
\(33\) −1.13827 5.77178i −0.198147 1.00474i
\(34\) −4.30107 + 2.93242i −0.737628 + 0.502906i
\(35\) 1.01428 + 9.92986i 0.171444 + 1.67845i
\(36\) 0.0811652 0.601310i 0.0135275 0.100218i
\(37\) −8.60873 + 1.29756i −1.41527 + 0.213317i −0.811737 0.584023i \(-0.801478\pi\)
−0.603530 + 0.797340i \(0.706240\pi\)
\(38\) 6.28320 3.02583i 1.01927 0.490854i
\(39\) 5.98753 5.23363i 0.958772 0.838051i
\(40\) 9.06817 + 4.36700i 1.43380 + 0.690484i
\(41\) −3.21425 + 0.991463i −0.501981 + 0.154841i −0.535396 0.844601i \(-0.679838\pi\)
0.0334155 + 0.999442i \(0.489362\pi\)
\(42\) 3.41612 5.88026i 0.527119 0.907344i
\(43\) −2.48336 0.766017i −0.378710 0.116816i 0.0995554 0.995032i \(-0.468258\pi\)
−0.478265 + 0.878216i \(0.658734\pi\)
\(44\) 0.503578 + 0.467252i 0.0759172 + 0.0704409i
\(45\) 7.56926 8.41446i 1.12836 1.25435i
\(46\) −7.05676 + 2.17672i −1.04046 + 0.320940i
\(47\) 5.44048 + 3.70925i 0.793575 + 0.541050i 0.890899 0.454202i \(-0.150076\pi\)
−0.0973234 + 0.995253i \(0.531028\pi\)
\(48\) −3.58305 6.65468i −0.517169 0.960521i
\(49\) 5.56248 4.24956i 0.794640 0.607080i
\(50\) −6.85088 11.8661i −0.968860 1.67812i
\(51\) 4.91620 + 3.57007i 0.688406 + 0.499909i
\(52\) −0.206637 + 0.905337i −0.0286554 + 0.125548i
\(53\) −4.51251 0.680152i −0.619841 0.0934260i −0.168388 0.985721i \(-0.553856\pi\)
−0.451453 + 0.892295i \(0.649094\pi\)
\(54\) −7.54145 + 1.60854i −1.02626 + 0.218895i
\(55\) 2.85137 + 12.4927i 0.384478 + 1.68451i
\(56\) −0.717250 7.02194i −0.0958466 0.938346i
\(57\) −5.79973 5.71092i −0.768193 0.756430i
\(58\) −2.99803 1.44377i −0.393660 0.189577i
\(59\) −9.08668 2.80287i −1.18299 0.364903i −0.359993 0.932955i \(-0.617221\pi\)
−0.822992 + 0.568052i \(0.807697\pi\)
\(60\) −0.137838 + 1.31441i −0.0177948 + 0.169690i
\(61\) −1.82681 + 4.65465i −0.233900 + 0.595967i −0.998841 0.0481334i \(-0.984673\pi\)
0.764941 + 0.644100i \(0.222768\pi\)
\(62\) 7.65388 3.68592i 0.972044 0.468112i
\(63\) −7.80619 1.43645i −0.983488 0.180976i
\(64\) −6.33888 3.05265i −0.792360 0.381581i
\(65\) −12.6976 + 11.7817i −1.57495 + 1.46134i
\(66\) 3.42934 8.02855i 0.422122 0.988246i
\(67\) −7.14616 + 12.3775i −0.873043 + 1.51215i −0.0142098 + 0.999899i \(0.504523\pi\)
−0.858833 + 0.512256i \(0.828810\pi\)
\(68\) −0.709472 −0.0860361
\(69\) 5.17162 + 6.89532i 0.622590 + 0.830099i
\(70\) −7.05739 + 13.0233i −0.843520 + 1.55658i
\(71\) 5.88322 7.37733i 0.698210 0.875528i −0.298678 0.954354i \(-0.596546\pi\)
0.996888 + 0.0788260i \(0.0251172\pi\)
\(72\) −5.35263 + 5.95032i −0.630814 + 0.701252i
\(73\) −0.305183 4.07239i −0.0357190 0.476637i −0.986167 0.165754i \(-0.946994\pi\)
0.950448 0.310883i \(-0.100625\pi\)
\(74\) −11.6402 5.60563i −1.35315 0.651641i
\(75\) −10.3376 + 12.2016i −1.19368 + 1.40892i
\(76\) 0.939846 + 0.141659i 0.107808 + 0.0162494i
\(77\) 6.42010 6.28783i 0.731639 0.716564i
\(78\) 11.7167 1.41177i 1.32665 0.159852i
\(79\) −0.616621 1.06802i −0.0693752 0.120161i 0.829251 0.558876i \(-0.188767\pi\)
−0.898626 + 0.438715i \(0.855434\pi\)
\(80\) 8.23120 + 14.2569i 0.920276 + 1.59397i
\(81\) 4.73835 + 7.65167i 0.526483 + 0.850186i
\(82\) −4.76994 1.47133i −0.526752 0.162481i
\(83\) −4.61272 + 3.14490i −0.506312 + 0.345198i −0.789383 0.613901i \(-0.789599\pi\)
0.283071 + 0.959099i \(0.408647\pi\)
\(84\) 0.836139 0.399892i 0.0912303 0.0436318i
\(85\) −10.9343 7.45488i −1.18599 0.808596i
\(86\) −2.40458 3.01525i −0.259293 0.325143i
\(87\) −0.405056 + 3.86258i −0.0434266 + 0.414112i
\(88\) −2.01636 8.83423i −0.214944 0.941732i
\(89\) −1.11646 + 0.761192i −0.118345 + 0.0806861i −0.621046 0.783774i \(-0.713292\pi\)
0.502701 + 0.864460i \(0.332340\pi\)
\(90\) 16.3152 3.98964i 1.71977 0.420545i
\(91\) 11.7003 + 3.26598i 1.22652 + 0.342368i
\(92\) −0.961765 0.296665i −0.100271 0.0309295i
\(93\) −7.06494 6.95677i −0.732601 0.721383i
\(94\) 3.56996 + 9.09611i 0.368213 + 0.938193i
\(95\) 12.9963 + 12.0588i 1.33339 + 1.23721i
\(96\) 0.205912 1.96355i 0.0210158 0.200404i
\(97\) −6.47663 + 11.2178i −0.657602 + 1.13900i 0.323633 + 0.946183i \(0.395096\pi\)
−0.981235 + 0.192817i \(0.938238\pi\)
\(98\) 10.3729 0.560498i 1.04782 0.0566189i
\(99\) −10.1716 0.604599i −1.02229 0.0607645i
\(100\) 0.139552 1.86219i 0.0139552 0.186219i
\(101\) −0.985097 + 4.31599i −0.0980208 + 0.429457i −0.999997 0.00232802i \(-0.999259\pi\)
0.901977 + 0.431785i \(0.142116\pi\)
\(102\) 3.04349 + 8.48718i 0.301350 + 0.840356i
\(103\) 2.44568 10.7152i 0.240980 1.05580i −0.699147 0.714977i \(-0.746437\pi\)
0.940127 0.340824i \(-0.110706\pi\)
\(104\) 8.97918 8.33146i 0.880481 0.816967i
\(105\) 17.0884 + 2.62276i 1.66766 + 0.255955i
\(106\) −4.96438 4.60627i −0.482183 0.447401i
\(107\) 14.3642 9.79332i 1.38864 0.946756i 0.388961 0.921254i \(-0.372834\pi\)
0.999675 0.0255016i \(-0.00811830\pi\)
\(108\) −0.972724 0.397859i −0.0936004 0.0382840i
\(109\) 1.52462 + 1.03947i 0.146032 + 0.0995630i 0.634132 0.773225i \(-0.281358\pi\)
−0.488100 + 0.872788i \(0.662310\pi\)
\(110\) −6.94728 + 17.7014i −0.662397 + 1.68776i
\(111\) −1.57268 + 14.9970i −0.149272 + 1.42345i
\(112\) 5.50057 10.1504i 0.519755 0.959124i
\(113\) 0.685795 + 9.15130i 0.0645142 + 0.860882i 0.931777 + 0.363031i \(0.118258\pi\)
−0.867263 + 0.497851i \(0.834123\pi\)
\(114\) −2.33712 11.8508i −0.218892 1.10993i
\(115\) −11.7054 14.6781i −1.09153 1.36874i
\(116\) −0.226756 0.392754i −0.0210538 0.0364663i
\(117\) −6.16709 12.3163i −0.570148 1.13864i
\(118\) −8.79842 11.0329i −0.809960 1.01566i
\(119\) −0.443534 + 9.27022i −0.0406587 + 0.849800i
\(120\) 11.2690 13.3010i 1.02872 1.21421i
\(121\) 0.334413 0.419341i 0.0304012 0.0381219i
\(122\) −6.13106 + 4.18008i −0.555080 + 0.378447i
\(123\) 0.262753 + 5.82014i 0.0236916 + 0.524785i
\(124\) 1.14487 + 0.172562i 0.102813 + 0.0154965i
\(125\) 9.95692 12.4856i 0.890574 1.11674i
\(126\) −8.37064 8.28700i −0.745716 0.738265i
\(127\) −11.1943 14.0372i −0.993336 1.24560i −0.969297 0.245893i \(-0.920919\pi\)
−0.0240386 0.999711i \(-0.507652\pi\)
\(128\) −6.36031 11.0164i −0.562177 0.973720i
\(129\) −2.36536 + 3.82972i −0.208258 + 0.337188i
\(130\) −25.4181 + 3.83117i −2.22932 + 0.336016i
\(131\) 1.17159 + 5.13306i 0.102362 + 0.448478i 0.999970 + 0.00768394i \(0.00244590\pi\)
−0.897608 + 0.440794i \(0.854697\pi\)
\(132\) 1.00256 0.640793i 0.0872618 0.0557738i
\(133\) 2.43852 12.1918i 0.211447 1.05716i
\(134\) −19.1094 + 9.20259i −1.65080 + 0.794983i
\(135\) −10.8109 16.3528i −0.930458 1.40743i
\(136\) 7.73224 + 5.27175i 0.663034 + 0.452049i
\(137\) −3.59651 15.7574i −0.307271 1.34624i −0.858896 0.512149i \(-0.828849\pi\)
0.551626 0.834092i \(-0.314008\pi\)
\(138\) 0.576864 + 12.7779i 0.0491060 + 1.08773i
\(139\) −3.35601 + 1.03519i −0.284653 + 0.0878039i −0.433794 0.901012i \(-0.642825\pi\)
0.149141 + 0.988816i \(0.452349\pi\)
\(140\) −1.79458 + 0.924696i −0.151670 + 0.0781511i
\(141\) 8.58695 7.50575i 0.723152 0.632098i
\(142\) 13.3808 4.12744i 1.12290 0.346367i
\(143\) 15.4204 + 2.32425i 1.28952 + 0.194364i
\(144\) −12.7161 + 3.10955i −1.05968 + 0.259129i
\(145\) 0.632172 8.43576i 0.0524991 0.700551i
\(146\) 3.03018 5.24843i 0.250780 0.434363i
\(147\) −4.70242 11.1753i −0.387849 0.921723i
\(148\) −0.880410 1.52491i −0.0723693 0.125347i
\(149\) 12.4785 6.00934i 1.02228 0.492304i 0.153839 0.988096i \(-0.450836\pi\)
0.868441 + 0.495792i \(0.165122\pi\)
\(150\) −22.8754 + 6.31900i −1.86777 + 0.515944i
\(151\) 3.31075 4.15156i 0.269425 0.337849i −0.628652 0.777687i \(-0.716393\pi\)
0.898077 + 0.439838i \(0.144964\pi\)
\(152\) −9.19039 8.52743i −0.745439 0.691666i
\(153\) 8.12536 6.68744i 0.656897 0.540647i
\(154\) 13.1283 2.34275i 1.05791 0.188784i
\(155\) 15.8315 + 14.6895i 1.27161 + 1.17989i
\(156\) 1.42778 + 0.740569i 0.114314 + 0.0592930i
\(157\) 22.7834 + 7.02774i 1.81831 + 0.560875i 0.999905 0.0137636i \(-0.00438124\pi\)
0.818407 + 0.574639i \(0.194857\pi\)
\(158\) 0.136766 1.82501i 0.0108805 0.145190i
\(159\) −3.10483 + 7.26885i −0.246229 + 0.576457i
\(160\) −0.321367 + 4.28834i −0.0254063 + 0.339023i
\(161\) −4.47759 + 12.3813i −0.352884 + 0.975784i
\(162\) −0.586677 + 13.3431i −0.0460937 + 1.04833i
\(163\) 12.2053 + 3.76483i 0.955992 + 0.294884i 0.733224 0.679987i \(-0.238015\pi\)
0.222768 + 0.974872i \(0.428491\pi\)
\(164\) −0.424172 0.531895i −0.0331223 0.0415340i
\(165\) 22.1846 + 0.658744i 1.72707 + 0.0512831i
\(166\) −8.28487 −0.643030
\(167\) −1.43648 + 3.66009i −0.111158 + 0.283226i −0.975618 0.219476i \(-0.929565\pi\)
0.864460 + 0.502702i \(0.167661\pi\)
\(168\) −12.0841 1.85470i −0.932312 0.143093i
\(169\) 2.95212 + 7.52188i 0.227086 + 0.578606i
\(170\) −7.17493 18.2814i −0.550292 1.40212i
\(171\) −12.0990 + 7.23655i −0.925236 + 0.553393i
\(172\) −0.0392799 0.524153i −0.00299506 0.0399663i
\(173\) −8.45831 1.27489i −0.643074 0.0969278i −0.180594 0.983558i \(-0.557802\pi\)
−0.462480 + 0.886630i \(0.653040\pi\)
\(174\) −3.72564 + 4.39744i −0.282440 + 0.333369i
\(175\) −24.2448 2.98760i −1.83274 0.225842i
\(176\) 5.41474 13.7965i 0.408152 1.03995i
\(177\) −8.65489 + 14.0130i −0.650542 + 1.05328i
\(178\) −2.00527 −0.150301
\(179\) −1.73488 + 4.42040i −0.129671 + 0.330396i −0.980933 0.194344i \(-0.937742\pi\)
0.851263 + 0.524740i \(0.175837\pi\)
\(180\) 2.14352 + 0.803329i 0.159769 + 0.0598766i
\(181\) 17.0356 + 8.20393i 1.26625 + 0.609793i 0.941820 0.336117i \(-0.109114\pi\)
0.324428 + 0.945910i \(0.394828\pi\)
\(182\) 11.6159 + 13.7856i 0.861028 + 1.02186i
\(183\) 7.00791 + 5.08903i 0.518040 + 0.376192i
\(184\) 8.27750 + 10.3797i 0.610225 + 0.765198i
\(185\) 2.45449 32.7529i 0.180458 2.40804i
\(186\) −2.84697 14.4360i −0.208750 1.05850i
\(187\) 0.890364 + 11.8811i 0.0651098 + 0.868831i
\(188\) −0.296347 + 1.29838i −0.0216133 + 0.0946940i
\(189\) −5.80668 + 12.4612i −0.422374 + 0.906422i
\(190\) 5.85450 + 25.6502i 0.424730 + 1.86086i
\(191\) 17.1988 5.30512i 1.24446 0.383865i 0.398528 0.917156i \(-0.369521\pi\)
0.845932 + 0.533291i \(0.179045\pi\)
\(192\) −7.87732 + 9.29774i −0.568497 + 0.671007i
\(193\) 8.55045 + 7.93366i 0.615475 + 0.571077i 0.925073 0.379790i \(-0.124004\pi\)
−0.309598 + 0.950868i \(0.600194\pi\)
\(194\) −17.3190 + 8.34038i −1.24343 + 0.598805i
\(195\) 14.2232 + 26.4162i 1.01854 + 1.89170i
\(196\) 1.21110 + 0.733259i 0.0865072 + 0.0523756i
\(197\) 11.0225 0.785320 0.392660 0.919684i \(-0.371555\pi\)
0.392660 + 0.919684i \(0.371555\pi\)
\(198\) −11.9664 9.24445i −0.850413 0.656974i
\(199\) −20.1000 + 6.20002i −1.42485 + 0.439508i −0.908865 0.417090i \(-0.863050\pi\)
−0.515984 + 0.856598i \(0.672574\pi\)
\(200\) −15.3580 + 19.2583i −1.08597 + 1.36177i
\(201\) 17.6390 + 17.3689i 1.24416 + 1.22511i
\(202\) −4.81589 + 4.46849i −0.338845 + 0.314402i
\(203\) −5.27362 + 2.71735i −0.370136 + 0.190720i
\(204\) −0.308881 + 1.18939i −0.0216260 + 0.0832738i
\(205\) −0.948329 12.6546i −0.0662342 0.883833i
\(206\) 11.9563 11.0938i 0.833035 0.772943i
\(207\) 13.8111 5.66792i 0.959941 0.393948i
\(208\) 19.8110 2.98603i 1.37365 0.207044i
\(209\) 1.19280 15.9168i 0.0825076 1.10099i
\(210\) 18.7602 + 17.5012i 1.29458 + 1.20770i
\(211\) −1.66713 22.2463i −0.114770 1.53150i −0.696166 0.717881i \(-0.745112\pi\)
0.581396 0.813621i \(-0.302507\pi\)
\(212\) −0.205383 0.899843i −0.0141058 0.0618015i
\(213\) −9.80630 13.0747i −0.671916 0.895865i
\(214\) 25.7993 1.76361
\(215\) 4.90224 8.49093i 0.334330 0.579077i
\(216\) 7.64500 + 11.5639i 0.520176 + 0.786827i
\(217\) 2.97049 14.8515i 0.201650 1.00818i
\(218\) 1.00043 + 2.54906i 0.0677579 + 0.172644i
\(219\) −6.95999 1.26136i −0.470312 0.0852350i
\(220\) −2.14134 + 1.45994i −0.144369 + 0.0984292i
\(221\) −13.3071 + 9.07262i −0.895132 + 0.610291i
\(222\) −14.4653 + 17.0736i −0.970846 + 1.14591i
\(223\) 1.01352 + 2.58242i 0.0678706 + 0.172931i 0.960785 0.277296i \(-0.0894382\pi\)
−0.892914 + 0.450227i \(0.851343\pi\)
\(224\) 2.68086 1.38137i 0.179123 0.0922968i
\(225\) 15.9546 + 22.6425i 1.06364 + 1.50950i
\(226\) −6.80930 + 11.7941i −0.452948 + 0.784529i
\(227\) −10.2657 −0.681361 −0.340681 0.940179i \(-0.610658\pi\)
−0.340681 + 0.940179i \(0.610658\pi\)
\(228\) 0.646661 1.51392i 0.0428262 0.100262i
\(229\) −4.48121 19.6334i −0.296126 1.29741i −0.875843 0.482596i \(-0.839694\pi\)
0.579717 0.814818i \(-0.303163\pi\)
\(230\) −2.08202 27.7826i −0.137284 1.83193i
\(231\) −7.74607 13.5004i −0.509654 0.888264i
\(232\) −0.447043 + 5.96538i −0.0293498 + 0.391646i
\(233\) −22.6833 + 3.41895i −1.48603 + 0.223983i −0.841359 0.540477i \(-0.818244\pi\)
−0.644671 + 0.764460i \(0.723006\pi\)
\(234\) 2.73430 20.2570i 0.178747 1.32424i
\(235\) −18.2102 + 16.8966i −1.18790 + 1.10221i
\(236\) −0.143726 1.91789i −0.00935576 0.124844i
\(237\) −2.05893 + 0.568748i −0.133742 + 0.0369442i
\(238\) −8.29343 + 10.9958i −0.537583 + 0.712751i
\(239\) −5.42901 + 5.03739i −0.351174 + 0.325842i −0.835959 0.548791i \(-0.815088\pi\)
0.484786 + 0.874633i \(0.338898\pi\)
\(240\) 27.4844 7.59216i 1.77411 0.490072i
\(241\) −8.84078 + 11.0860i −0.569485 + 0.714111i −0.980279 0.197617i \(-0.936680\pi\)
0.410795 + 0.911728i \(0.365251\pi\)
\(242\) 0.760591 0.234611i 0.0488927 0.0150814i
\(243\) 14.8905 4.61227i 0.955226 0.295877i
\(244\) −1.01133 −0.0647439
\(245\) 10.9605 + 24.0267i 0.700242 + 1.53501i
\(246\) −4.54328 + 7.35595i −0.289669 + 0.468998i
\(247\) 19.4396 9.36161i 1.23691 0.595665i
\(248\) −11.1953 10.3877i −0.710901 0.659620i
\(249\) 3.26401 + 9.10215i 0.206848 + 0.576825i
\(250\) 22.6461 6.98539i 1.43226 0.441795i
\(251\) −0.0355383 0.155703i −0.00224316 0.00982791i 0.973794 0.227432i \(-0.0730330\pi\)
−0.976037 + 0.217604i \(0.930176\pi\)
\(252\) −0.306368 1.57584i −0.0192994 0.0992685i
\(253\) −3.76108 + 16.4784i −0.236457 + 1.03599i
\(254\) −1.99112 26.5697i −0.124934 1.66713i
\(255\) −17.2581 + 15.0851i −1.08075 + 0.944666i
\(256\) 0.359163 4.79270i 0.0224477 0.299543i
\(257\) 2.01541 + 2.52725i 0.125718 + 0.157645i 0.840707 0.541490i \(-0.182140\pi\)
−0.714989 + 0.699136i \(0.753568\pi\)
\(258\) −6.10177 + 2.71840i −0.379880 + 0.169240i
\(259\) −20.4755 + 10.5504i −1.27229 + 0.655573i
\(260\) −3.15643 1.52005i −0.195753 0.0942698i
\(261\) 6.29904 + 2.36069i 0.389901 + 0.146123i
\(262\) −2.85454 + 7.27325i −0.176354 + 0.449343i
\(263\) 3.70074 0.228198 0.114099 0.993469i \(-0.463602\pi\)
0.114099 + 0.993469i \(0.463602\pi\)
\(264\) −15.6879 0.465833i −0.965525 0.0286701i
\(265\) 6.28989 16.0264i 0.386385 0.984492i
\(266\) 13.1819 12.9103i 0.808235 0.791583i
\(267\) 0.790021 + 2.20308i 0.0483485 + 0.134826i
\(268\) −2.85840 0.430834i −0.174604 0.0263174i
\(269\) 0.861158 + 11.4914i 0.0525057 + 0.700641i 0.959897 + 0.280353i \(0.0904516\pi\)
−0.907391 + 0.420287i \(0.861929\pi\)
\(270\) 0.414690 29.0884i 0.0252372 1.77026i
\(271\) −5.38082 13.7101i −0.326862 0.832830i −0.995972 0.0896668i \(-0.971420\pi\)
0.669110 0.743163i \(-0.266675\pi\)
\(272\) 5.59218 + 14.2486i 0.339076 + 0.863951i
\(273\) 10.5691 18.1929i 0.639673 1.10109i
\(274\) 8.76280 22.3272i 0.529380 1.34884i
\(275\) −31.3601 −1.89108
\(276\) −0.916063 + 1.48318i −0.0551405 + 0.0892772i
\(277\) −3.27875 4.11142i −0.197001 0.247031i 0.673513 0.739176i \(-0.264785\pi\)
−0.870514 + 0.492144i \(0.836213\pi\)
\(278\) −4.98032 1.53623i −0.298700 0.0921367i
\(279\) −14.7385 + 8.81522i −0.882368 + 0.527753i
\(280\) 26.4294 + 3.25680i 1.57946 + 0.194631i
\(281\) 1.74996 23.3516i 0.104394 1.39304i −0.661439 0.749999i \(-0.730054\pi\)
0.765833 0.643040i \(-0.222327\pi\)
\(282\) 16.8033 2.02468i 1.00062 0.120568i
\(283\) −0.992411 + 13.2428i −0.0589927 + 0.787203i 0.886742 + 0.462264i \(0.152963\pi\)
−0.945735 + 0.324939i \(0.894656\pi\)
\(284\) 1.82368 + 0.562529i 0.108215 + 0.0333800i
\(285\) 25.8741 16.5375i 1.53265 0.979599i
\(286\) 16.9646 + 15.7408i 1.00314 + 0.930774i
\(287\) −7.21511 + 5.20987i −0.425895 + 0.307529i
\(288\) −3.20214 1.20007i −0.188688 0.0707146i
\(289\) 3.44181 + 3.19353i 0.202460 + 0.187855i
\(290\) 7.82714 9.81492i 0.459626 0.576352i
\(291\) 15.9864 + 15.7416i 0.937137 + 0.922787i
\(292\) 0.744171 0.358374i 0.0435493 0.0209722i
\(293\) 6.16751 + 10.6824i 0.360310 + 0.624075i 0.988012 0.154379i \(-0.0493377\pi\)
−0.627702 + 0.778454i \(0.716004\pi\)
\(294\) 3.57636 17.6335i 0.208578 1.02841i
\(295\) 17.9374 31.0685i 1.04436 1.80888i
\(296\) −1.73570 + 23.1613i −0.100886 + 1.34622i
\(297\) −5.44196 + 16.7889i −0.315775 + 0.974190i
\(298\) 20.3240 + 3.06335i 1.17734 + 0.177455i
\(299\) −21.8329 + 6.73456i −1.26263 + 0.389470i
\(300\) −3.06110 1.04469i −0.176732 0.0603150i
\(301\) −6.87334 + 0.185565i −0.396172 + 0.0106958i
\(302\) 7.53000 2.32270i 0.433303 0.133656i
\(303\) 6.80663 + 3.53050i 0.391030 + 0.202822i
\(304\) −4.56303 19.9919i −0.261708 1.14662i
\(305\) −15.5865 10.6267i −0.892483 0.608484i
\(306\) 15.5533 1.40719i 0.889122 0.0804436i
\(307\) −14.0759 + 6.77861i −0.803355 + 0.386876i −0.790055 0.613036i \(-0.789948\pi\)
−0.0133005 + 0.999912i \(0.504234\pi\)
\(308\) 1.65822 + 0.744115i 0.0944860 + 0.0423999i
\(309\) −16.8987 8.76509i −0.961331 0.498628i
\(310\) 7.13167 + 31.2459i 0.405051 + 1.77465i
\(311\) 24.5722 3.70367i 1.39336 0.210016i 0.590913 0.806735i \(-0.298768\pi\)
0.802450 + 0.596720i \(0.203530\pi\)
\(312\) −10.0580 18.6803i −0.569420 1.05756i
\(313\) 4.49508 + 7.78570i 0.254077 + 0.440074i 0.964644 0.263555i \(-0.0848951\pi\)
−0.710568 + 0.703629i \(0.751562\pi\)
\(314\) 22.0606 + 27.6631i 1.24495 + 1.56112i
\(315\) 11.8366 27.5059i 0.666919 1.54978i
\(316\) 0.155516 0.195011i 0.00874846 0.0109702i
\(317\) −18.2151 2.74549i −1.02306 0.154202i −0.383982 0.923341i \(-0.625447\pi\)
−0.639082 + 0.769139i \(0.720686\pi\)
\(318\) −9.88347 + 6.31707i −0.554237 + 0.354244i
\(319\) −6.29263 + 4.29024i −0.352319 + 0.240207i
\(320\) 16.5493 20.7522i 0.925136 1.16008i
\(321\) −10.1642 28.3444i −0.567312 1.58203i
\(322\) −15.8405 + 11.4381i −0.882757 + 0.637419i
\(323\) 10.2779 + 12.8881i 0.571877 + 0.717111i
\(324\) −1.09048 + 1.45750i −0.0605822 + 0.0809722i
\(325\) −21.1959 36.7124i −1.17574 2.03644i
\(326\) 11.8181 + 14.8194i 0.654544 + 0.820772i
\(327\) 2.40638 2.10339i 0.133073 0.116317i
\(328\) 0.670614 + 8.94873i 0.0370285 + 0.494111i
\(329\) 16.7798 + 4.68387i 0.925102 + 0.258230i
\(330\) 26.6507 + 19.3533i 1.46707 + 1.06536i
\(331\) −2.02651 + 5.16347i −0.111387 + 0.283810i −0.975688 0.219166i \(-0.929666\pi\)
0.864300 + 0.502976i \(0.167762\pi\)
\(332\) −0.932943 0.636070i −0.0512019 0.0349089i
\(333\) 24.4568 + 9.16569i 1.34023 + 0.502277i
\(334\) −4.82104 + 3.28693i −0.263795 + 0.179853i
\(335\) −39.5263 36.6750i −2.15955 2.00377i
\(336\) −14.6218 13.6405i −0.797685 0.744152i
\(337\) 12.6431 11.7311i 0.688713 0.639033i −0.256097 0.966651i \(-0.582437\pi\)
0.944810 + 0.327619i \(0.106246\pi\)
\(338\) −2.66834 + 11.6907i −0.145138 + 0.635892i
\(339\) 15.6402 + 2.83448i 0.849459 + 0.153948i
\(340\) 0.595599 2.60949i 0.0323009 0.141520i
\(341\) 1.45301 19.3890i 0.0786848 1.04998i
\(342\) −20.8846 1.24138i −1.12931 0.0671261i
\(343\) 10.3382 15.3663i 0.558208 0.829701i
\(344\) −3.46664 + 6.00440i −0.186909 + 0.323735i
\(345\) −29.7031 + 13.2330i −1.59916 + 0.712441i
\(346\) −9.30530 8.63405i −0.500256 0.464170i
\(347\) −10.3050 26.2567i −0.553201 1.40953i −0.884737 0.466091i \(-0.845662\pi\)
0.331536 0.943443i \(-0.392433\pi\)
\(348\) −0.757151 + 0.209152i −0.0405875 + 0.0112117i
\(349\) 15.5083 + 4.78366i 0.830138 + 0.256064i 0.680566 0.732687i \(-0.261734\pi\)
0.149572 + 0.988751i \(0.452210\pi\)
\(350\) −27.2300 23.9311i −1.45550 1.27917i
\(351\) −23.3325 + 4.97666i −1.24540 + 0.265635i
\(352\) 3.19887 2.18096i 0.170501 0.116245i
\(353\) 5.55428 + 24.3349i 0.295624 + 1.29522i 0.876571 + 0.481273i \(0.159825\pi\)
−0.580946 + 0.813942i \(0.697317\pi\)
\(354\) −22.3265 + 9.94669i −1.18664 + 0.528660i
\(355\) 22.1954 + 27.8322i 1.17801 + 1.47718i
\(356\) −0.225809 0.153954i −0.0119679 0.00815956i
\(357\) 15.3479 + 4.77951i 0.812296 + 0.252958i
\(358\) −5.82250 + 3.96972i −0.307729 + 0.209806i
\(359\) −16.9547 5.22983i −0.894835 0.276020i −0.186968 0.982366i \(-0.559866\pi\)
−0.707867 + 0.706346i \(0.750342\pi\)
\(360\) −17.3922 24.6827i −0.916650 1.30089i
\(361\) −1.54191 2.67067i −0.0811533 0.140562i
\(362\) 14.0298 + 24.3004i 0.737391 + 1.27720i
\(363\) −0.557408 0.743191i −0.0292563 0.0390074i
\(364\) 0.249658 + 2.44418i 0.0130857 + 0.128110i
\(365\) 15.2347 + 2.29627i 0.797423 + 0.120192i
\(366\) 4.33840 + 12.0982i 0.226772 + 0.632385i
\(367\) 3.28545 + 1.58219i 0.171499 + 0.0825897i 0.517664 0.855584i \(-0.326802\pi\)
−0.346165 + 0.938174i \(0.612516\pi\)
\(368\) 1.62274 + 21.6539i 0.0845910 + 1.12879i
\(369\) 9.87153 + 2.09341i 0.513891 + 0.108979i
\(370\) 30.3898 38.1077i 1.57989 1.98112i
\(371\) −11.8861 + 2.12107i −0.617094 + 0.110120i
\(372\) 0.787731 1.84419i 0.0408420 0.0956166i
\(373\) 14.2837 0.739584 0.369792 0.929115i \(-0.379429\pi\)
0.369792 + 0.929115i \(0.379429\pi\)
\(374\) −8.84048 + 15.3122i −0.457130 + 0.791773i
\(375\) −16.5964 22.1280i −0.857036 1.14269i
\(376\) 12.8774 11.9485i 0.664101 0.616196i
\(377\) −9.27559 4.46689i −0.477717 0.230057i
\(378\) −17.5370 + 10.4250i −0.902005 + 0.536204i
\(379\) 32.1059 15.4614i 1.64917 0.794199i 0.649751 0.760147i \(-0.274873\pi\)
0.999420 0.0340514i \(-0.0108410\pi\)
\(380\) −1.31003 + 3.33790i −0.0672031 + 0.171231i
\(381\) −28.4062 + 12.6553i −1.45530 + 0.648349i
\(382\) 25.5230 + 7.87279i 1.30587 + 0.402807i
\(383\) −17.2108 8.28827i −0.879430 0.423511i −0.0610135 0.998137i \(-0.519433\pi\)
−0.818416 + 0.574626i \(0.805148\pi\)
\(384\) −21.2374 + 5.86652i −1.08377 + 0.299374i
\(385\) 17.7374 + 28.8922i 0.903984 + 1.47248i
\(386\) 3.85176 + 16.8757i 0.196049 + 0.858948i
\(387\) 5.39050 + 5.63272i 0.274014 + 0.286327i
\(388\) −2.59059 0.390469i −0.131517 0.0198230i
\(389\) −4.57000 + 20.0225i −0.231708 + 1.01518i 0.716514 + 0.697573i \(0.245737\pi\)
−0.948222 + 0.317608i \(0.897120\pi\)
\(390\) −4.64350 + 44.2800i −0.235133 + 2.24220i
\(391\) −8.72801 15.1174i −0.441394 0.764518i
\(392\) −7.75078 16.9906i −0.391473 0.858154i
\(393\) 9.11535 + 0.270669i 0.459809 + 0.0136534i
\(394\) 13.5151 + 9.21443i 0.680881 + 0.464217i
\(395\) 4.44590 1.37138i 0.223698 0.0690016i
\(396\) −0.637769 1.95972i −0.0320491 0.0984795i
\(397\) 11.3034 + 10.4880i 0.567302 + 0.526379i 0.910840 0.412760i \(-0.135435\pi\)
−0.343538 + 0.939139i \(0.611626\pi\)
\(398\) −29.8283 9.20083i −1.49516 0.461196i
\(399\) −19.3772 9.39596i −0.970074 0.470386i
\(400\) −38.4992 + 11.8754i −1.92496 + 0.593771i
\(401\) 1.88170 + 0.906177i 0.0939674 + 0.0452523i 0.480277 0.877117i \(-0.340536\pi\)
−0.386310 + 0.922369i \(0.626250\pi\)
\(402\) 7.10801 + 36.0423i 0.354515 + 1.79762i
\(403\) 23.6803 11.4039i 1.17960 0.568066i
\(404\) −0.885376 + 0.133449i −0.0440491 + 0.00663933i
\(405\) −32.1212 + 11.0044i −1.59612 + 0.546815i
\(406\) −8.73780 1.07673i −0.433650 0.0534371i
\(407\) −24.4319 + 16.6574i −1.21104 + 0.825676i
\(408\) 12.2041 10.6675i 0.604195 0.528120i
\(409\) −10.1890 + 1.53575i −0.503814 + 0.0759377i −0.396032 0.918237i \(-0.629613\pi\)
−0.107782 + 0.994175i \(0.534375\pi\)
\(410\) 9.41601 16.3090i 0.465024 0.805445i
\(411\) −27.9821 0.830893i −1.38025 0.0409849i
\(412\) 2.19810 0.331311i 0.108293 0.0163225i
\(413\) −25.1497 + 0.678987i −1.23753 + 0.0334108i
\(414\) 21.6726 + 4.59600i 1.06515 + 0.225881i
\(415\) −7.69482 19.6061i −0.377724 0.962425i
\(416\) 4.71528 + 2.27076i 0.231185 + 0.111333i
\(417\) 0.274342 + 6.07685i 0.0134346 + 0.297584i
\(418\) 14.7684 18.5190i 0.722348 0.905796i
\(419\) 10.5317 + 1.58740i 0.514508 + 0.0775496i 0.401164 0.916006i \(-0.368606\pi\)
0.113344 + 0.993556i \(0.463844\pi\)
\(420\) 0.768898 + 3.41109i 0.0375184 + 0.166444i
\(421\) 26.3878 3.97732i 1.28606 0.193843i 0.529806 0.848119i \(-0.322265\pi\)
0.756256 + 0.654276i \(0.227027\pi\)
\(422\) 16.5531 28.6707i 0.805790 1.39567i
\(423\) −8.84448 17.6633i −0.430033 0.858818i
\(424\) −4.44792 + 11.3331i −0.216010 + 0.550385i
\(425\) 23.7419 22.0292i 1.15165 1.06857i
\(426\) −1.09384 24.2292i −0.0529965 1.17391i
\(427\) −0.632245 + 13.2144i −0.0305965 + 0.639491i
\(428\) 2.90521 + 1.98074i 0.140429 + 0.0957427i
\(429\) 10.6100 24.8395i 0.512257 1.19926i
\(430\) 13.1090 6.31294i 0.632170 0.304437i
\(431\) −27.8817 + 25.8704i −1.34301 + 1.24614i −0.398704 + 0.917080i \(0.630540\pi\)
−0.944311 + 0.329055i \(0.893270\pi\)
\(432\) −0.323211 + 22.6716i −0.0155505 + 1.09079i
\(433\) −4.84986 + 21.2486i −0.233069 + 1.02114i 0.714008 + 0.700138i \(0.246878\pi\)
−0.947077 + 0.321006i \(0.895979\pi\)
\(434\) 16.0576 15.7267i 0.770788 0.754907i
\(435\) −13.8668 4.73245i −0.664863 0.226904i
\(436\) −0.0830471 + 0.363853i −0.00397724 + 0.0174254i
\(437\) 8.54365 + 21.7689i 0.408698 + 1.04135i
\(438\) −7.47944 7.36492i −0.357382 0.351909i
\(439\) −26.4698 18.0468i −1.26333 0.861325i −0.268542 0.963268i \(-0.586542\pi\)
−0.994790 + 0.101943i \(0.967494\pi\)
\(440\) 34.1857 1.62974
\(441\) −20.7820 + 3.01797i −0.989619 + 0.143713i
\(442\) −23.9007 −1.13684
\(443\) −7.70539 5.25344i −0.366094 0.249599i 0.366275 0.930507i \(-0.380633\pi\)
−0.732369 + 0.680908i \(0.761585\pi\)
\(444\) −2.93973 + 0.812058i −0.139514 + 0.0385386i
\(445\) −1.86245 4.74545i −0.0882887 0.224956i
\(446\) −0.916094 + 4.01367i −0.0433783 + 0.190053i
\(447\) −4.64156 23.5358i −0.219538 1.11320i
\(448\) −18.4748 2.27658i −0.872852 0.107558i
\(449\) 1.13003 4.95101i 0.0533296 0.233652i −0.941238 0.337744i \(-0.890336\pi\)
0.994568 + 0.104091i \(0.0331934\pi\)
\(450\) 0.634221 + 41.1004i 0.0298974 + 1.93749i
\(451\) −8.37499 + 7.77086i −0.394363 + 0.365915i
\(452\) −1.67227 + 0.805323i −0.0786570 + 0.0378792i
\(453\) −5.51844 7.35774i −0.259279 0.345697i
\(454\) −12.5872 8.58182i −0.590747 0.402765i
\(455\) −21.8349 + 40.2927i −1.02363 + 1.88895i
\(456\) −18.2969 + 11.6946i −0.856833 + 0.547649i
\(457\) 22.9595 21.3033i 1.07400 0.996525i 0.0739984 0.997258i \(-0.476424\pi\)
1.00000 0.000733727i \(0.000233552\pi\)
\(458\) 10.9183 27.8194i 0.510180 1.29992i
\(459\) −7.67358 16.5332i −0.358172 0.771703i
\(460\) 1.89856 3.28840i 0.0885206 0.153322i
\(461\) 28.8685 4.35122i 1.34454 0.202657i 0.562970 0.826477i \(-0.309658\pi\)
0.781568 + 0.623821i \(0.214420\pi\)
\(462\) 1.78817 23.0289i 0.0831932 1.07140i
\(463\) −10.9988 1.65781i −0.511158 0.0770447i −0.111601 0.993753i \(-0.535598\pi\)
−0.399557 + 0.916708i \(0.630836\pi\)
\(464\) −6.10051 + 7.64980i −0.283209 + 0.355133i
\(465\) 31.5185 20.1452i 1.46164 0.934212i
\(466\) −30.6709 14.7703i −1.42080 0.684223i
\(467\) 3.21344 + 8.18772i 0.148700 + 0.378882i 0.985744 0.168254i \(-0.0538130\pi\)
−0.837043 + 0.547137i \(0.815718\pi\)
\(468\) 1.86313 2.07117i 0.0861232 0.0957399i
\(469\) −7.41639 + 37.0795i −0.342457 + 1.71217i
\(470\) −36.4532 + 5.49443i −1.68146 + 0.253439i
\(471\) 21.7007 35.1354i 0.999917 1.61895i
\(472\) −12.6845 + 21.9702i −0.583852 + 1.01126i
\(473\) −8.72837 + 1.31559i −0.401331 + 0.0604909i
\(474\) −2.99998 1.02383i −0.137794 0.0470261i
\(475\) −35.8497 + 24.4419i −1.64490 + 1.12147i
\(476\) −1.77811 + 0.601488i −0.0814994 + 0.0275691i
\(477\) 10.8341 + 8.36969i 0.496057 + 0.383222i
\(478\) −10.8678 + 1.63806i −0.497082 + 0.0749231i
\(479\) 38.6312 18.6038i 1.76511 0.850031i 0.795277 0.606246i \(-0.207325\pi\)
0.969829 0.243785i \(-0.0783891\pi\)
\(480\) 7.04924 + 2.40576i 0.321752 + 0.109807i
\(481\) −36.0136 17.3433i −1.64208 0.790784i
\(482\) −20.1075 + 6.20235i −0.915873 + 0.282509i
\(483\) 18.8071 + 12.8968i 0.855755 + 0.586827i
\(484\) 0.103661 + 0.0319752i 0.00471186 + 0.00145342i
\(485\) −35.8230 33.2389i −1.62664 1.50930i
\(486\) 22.1135 + 6.79268i 1.00309 + 0.308122i
\(487\) −13.0025 + 4.01073i −0.589198 + 0.181743i −0.574997 0.818156i \(-0.694997\pi\)
−0.0142010 + 0.999899i \(0.504520\pi\)
\(488\) 11.0221 + 7.51473i 0.498946 + 0.340176i
\(489\) 11.6253 18.8224i 0.525714 0.851177i
\(490\) −6.64643 + 38.6227i −0.300255 + 1.74480i
\(491\) −4.17852 7.23741i −0.188574 0.326620i 0.756201 0.654339i \(-0.227053\pi\)
−0.944775 + 0.327720i \(0.893720\pi\)
\(492\) −1.07636 + 0.479530i −0.0485261 + 0.0216189i
\(493\) 1.75025 7.66835i 0.0788274 0.345365i
\(494\) 31.6616 + 4.77222i 1.42452 + 0.214712i
\(495\) 10.7628 36.9044i 0.483752 1.65873i
\(496\) −5.55846 24.3532i −0.249582 1.09349i
\(497\) 8.49030 23.4771i 0.380842 1.05309i
\(498\) −3.60696 + 13.8891i −0.161632 + 0.622385i
\(499\) −6.75767 3.25432i −0.302515 0.145684i 0.276468 0.961023i \(-0.410836\pi\)
−0.578983 + 0.815340i \(0.696550\pi\)
\(500\) 3.08643 + 0.952039i 0.138030 + 0.0425765i
\(501\) 5.51053 + 4.00166i 0.246192 + 0.178781i
\(502\) 0.0865880 0.220623i 0.00386461 0.00984687i
\(503\) −17.9572 + 8.64775i −0.800674 + 0.385584i −0.789035 0.614348i \(-0.789419\pi\)
−0.0116386 + 0.999932i \(0.503705\pi\)
\(504\) −8.37033 + 19.4509i −0.372844 + 0.866411i
\(505\) −15.0476 7.24652i −0.669607 0.322466i
\(506\) −18.3870 + 17.0606i −0.817401 + 0.758437i
\(507\) 13.8953 1.67428i 0.617110 0.0743572i
\(508\) 1.81567 3.14483i 0.0805572 0.139529i
\(509\) −29.8878 −1.32475 −0.662377 0.749170i \(-0.730452\pi\)
−0.662377 + 0.749170i \(0.730452\pi\)
\(510\) −33.7715 + 4.06922i −1.49543 + 0.180188i
\(511\) −4.21742 9.94765i −0.186568 0.440058i
\(512\) −11.4154 + 14.3145i −0.504496 + 0.632618i
\(513\) 6.86413 + 23.4339i 0.303059 + 1.03463i
\(514\) 0.358479 + 4.78357i 0.0158118 + 0.210994i
\(515\) 37.3582 + 17.9908i 1.64620 + 0.792768i
\(516\) −0.895813 0.162349i −0.0394360 0.00714701i
\(517\) 22.1150 + 3.33331i 0.972618 + 0.146599i
\(518\) −33.9256 4.18053i −1.49061 0.183682i
\(519\) −5.81974 + 13.6248i −0.255458 + 0.598063i
\(520\) 23.1058 + 40.0203i 1.01325 + 1.75501i
\(521\) 8.51982 + 14.7568i 0.373260 + 0.646506i 0.990065 0.140611i \(-0.0449065\pi\)
−0.616805 + 0.787116i \(0.711573\pi\)
\(522\) 5.75003 + 8.16033i 0.251672 + 0.357168i
\(523\) 17.4129 + 5.37117i 0.761414 + 0.234865i 0.651059 0.759027i \(-0.274325\pi\)
0.110355 + 0.993892i \(0.464801\pi\)
\(524\) −0.879847 + 0.599870i −0.0384363 + 0.0262054i
\(525\) −15.5639 + 39.3443i −0.679266 + 1.71713i
\(526\) 4.53762 + 3.09370i 0.197850 + 0.134892i
\(527\) 12.5200 + 15.6996i 0.545381 + 0.683886i
\(528\) −20.7717 15.0841i −0.903972 0.656450i
\(529\) −0.392457 1.71947i −0.0170633 0.0747594i
\(530\) 21.1098 14.3924i 0.916951 0.625166i
\(531\) 19.7239 + 20.6102i 0.855946 + 0.894408i
\(532\) 2.47558 0.441766i 0.107330 0.0191530i
\(533\) −14.7577 4.55215i −0.639227 0.197176i
\(534\) −0.873028 + 3.36171i −0.0377796 + 0.145476i
\(535\) 23.9619 + 61.0539i 1.03596 + 2.63959i
\(536\) 27.9511 + 25.9349i 1.20731 + 1.12022i
\(537\) 6.65523 + 4.83292i 0.287194 + 0.208556i
\(538\) −8.55049 + 14.8099i −0.368638 + 0.638500i
\(539\) 10.7595 21.2017i 0.463446 0.913224i
\(540\) 2.27995 3.24375i 0.0981136 0.139589i
\(541\) 1.49512 19.9510i 0.0642802 0.857759i −0.868125 0.496345i \(-0.834675\pi\)
0.932405 0.361414i \(-0.117706\pi\)
\(542\) 4.86357 21.3087i 0.208908 0.915286i
\(543\) 21.1702 24.9875i 0.908498 1.07232i
\(544\) −0.889745 + 3.89823i −0.0381475 + 0.167135i
\(545\) −5.10316 + 4.73504i −0.218595 + 0.202827i
\(546\) 28.1679 13.4716i 1.20548 0.576531i
\(547\) 3.19257 + 2.96227i 0.136504 + 0.126658i 0.745470 0.666539i \(-0.232225\pi\)
−0.608966 + 0.793196i \(0.708415\pi\)
\(548\) 2.70093 1.84147i 0.115378 0.0786635i
\(549\) 11.5825 9.53275i 0.494328 0.406848i
\(550\) −38.4518 26.2160i −1.63959 1.11785i
\(551\) −3.84971 + 9.80889i −0.164003 + 0.417873i
\(552\) 21.0046 9.35778i 0.894016 0.398293i
\(553\) −2.45086 2.15394i −0.104221 0.0915949i
\(554\) −0.583187 7.78209i −0.0247772 0.330629i
\(555\) −53.8397 18.3743i −2.28537 0.779947i
\(556\) −0.442881 0.555355i −0.0187823 0.0235523i
\(557\) 8.28974 + 14.3583i 0.351248 + 0.608379i 0.986468 0.163952i \(-0.0524242\pi\)
−0.635221 + 0.772331i \(0.719091\pi\)
\(558\) −25.4406 1.51219i −1.07699 0.0640160i
\(559\) −7.43954 9.32889i −0.314659 0.394570i
\(560\) 32.7163 + 28.7527i 1.38252 + 1.21502i
\(561\) 20.3056 + 3.67999i 0.857302 + 0.155369i
\(562\) 21.6668 27.1694i 0.913961 1.14607i
\(563\) 5.02150 3.42360i 0.211631 0.144288i −0.452866 0.891579i \(-0.649598\pi\)
0.664497 + 0.747291i \(0.268646\pi\)
\(564\) 2.04764 + 1.06208i 0.0862211 + 0.0447216i
\(565\) −34.2349 5.16008i −1.44027 0.217086i
\(566\) −12.2874 + 15.4079i −0.516477 + 0.647642i
\(567\) 18.3625 + 15.1598i 0.771152 + 0.636651i
\(568\) −15.6956 19.6816i −0.658572 0.825823i
\(569\) −2.38692 4.13426i −0.100065 0.173317i 0.811646 0.584149i \(-0.198572\pi\)
−0.911711 + 0.410832i \(0.865238\pi\)
\(570\) 45.5500 + 1.35255i 1.90788 + 0.0566521i
\(571\) −13.0529 + 1.96741i −0.546246 + 0.0823334i −0.416367 0.909196i \(-0.636697\pi\)
−0.129879 + 0.991530i \(0.541459\pi\)
\(572\) 0.701848 + 3.07500i 0.0293457 + 0.128572i
\(573\) −1.40594 31.1424i −0.0587339 1.30099i
\(574\) −13.2020 + 0.356426i −0.551041 + 0.0148769i
\(575\) 41.3961 19.9353i 1.72634 0.831361i
\(576\) 12.1576 + 17.2538i 0.506566 + 0.718908i
\(577\) −9.96573 6.79452i −0.414879 0.282860i 0.337838 0.941204i \(-0.390305\pi\)
−0.752717 + 0.658345i \(0.771257\pi\)
\(578\) 1.55045 + 6.79295i 0.0644901 + 0.282550i
\(579\) 17.0229 10.8803i 0.707448 0.452169i
\(580\) 1.63494 0.504312i 0.0678871 0.0209404i
\(581\) −8.89436 + 11.7925i −0.369000 + 0.489237i
\(582\) 6.44205 + 32.6654i 0.267031 + 1.35402i
\(583\) −14.8113 + 4.56870i −0.613423 + 0.189216i
\(584\) −10.7733 1.62382i −0.445803 0.0671940i
\(585\) 50.4775 12.3436i 2.08699 0.510343i
\(586\) −1.36795 + 18.2540i −0.0565093 + 0.754065i
\(587\) 9.29403 16.0977i 0.383606 0.664425i −0.607969 0.793961i \(-0.708015\pi\)
0.991575 + 0.129536i \(0.0413488\pi\)
\(588\) 1.75654 1.71110i 0.0724384 0.0705646i
\(589\) −13.4507 23.2973i −0.554227 0.959949i
\(590\) 47.9660 23.0992i 1.97473 0.950979i
\(591\) 4.79883 18.4786i 0.197398 0.760106i
\(592\) −23.6860 + 29.7013i −0.973489 + 1.22072i
\(593\) −25.2185 23.3993i −1.03560 0.960895i −0.0363382 0.999340i \(-0.511569\pi\)
−0.999261 + 0.0384442i \(0.987760\pi\)
\(594\) −20.7075 + 16.0362i −0.849641 + 0.657973i
\(595\) −33.7242 9.41367i −1.38256 0.385923i
\(596\) 2.05346 + 1.90533i 0.0841129 + 0.0780454i
\(597\) 1.64310 + 36.3957i 0.0672476 + 1.48958i
\(598\) −32.4000 9.99408i −1.32493 0.408688i
\(599\) 1.22491 16.3452i 0.0500483 0.667848i −0.914609 0.404340i \(-0.867501\pi\)
0.964657 0.263508i \(-0.0848796\pi\)
\(600\) 25.5990 + 34.1312i 1.04508 + 1.39340i
\(601\) 0.494482 6.59841i 0.0201704 0.269155i −0.977996 0.208624i \(-0.933102\pi\)
0.998166 0.0605309i \(-0.0192794\pi\)
\(602\) −8.58278 5.51835i −0.349808 0.224911i
\(603\) 36.7974 22.0089i 1.49850 0.896270i
\(604\) 1.02626 + 0.316561i 0.0417581 + 0.0128807i
\(605\) 1.26163 + 1.58203i 0.0512925 + 0.0643187i
\(606\) 5.39448 + 10.0190i 0.219136 + 0.406994i
\(607\) 17.5111 0.710754 0.355377 0.934723i \(-0.384352\pi\)
0.355377 + 0.934723i \(0.384352\pi\)
\(608\) 1.95701 4.98638i 0.0793672 0.202224i
\(609\) 2.25951 + 10.0240i 0.0915601 + 0.406191i
\(610\) −10.2277 26.0597i −0.414106 1.05512i
\(611\) 11.0451 + 28.1425i 0.446837 + 1.13852i
\(612\) 1.85946 + 1.03564i 0.0751643 + 0.0418633i
\(613\) 1.56908 + 20.9380i 0.0633747 + 0.845676i 0.934806 + 0.355159i \(0.115573\pi\)
−0.871431 + 0.490517i \(0.836808\pi\)
\(614\) −22.9257 3.45550i −0.925207 0.139452i
\(615\) −21.6275 3.91957i −0.872105 0.158052i
\(616\) −12.5431 20.4313i −0.505376 0.823199i
\(617\) 3.64836 9.29586i 0.146877 0.374237i −0.838434 0.545002i \(-0.816529\pi\)
0.985312 + 0.170765i \(0.0546239\pi\)
\(618\) −13.3928 24.8739i −0.538736 1.00058i
\(619\) 16.4479 0.661096 0.330548 0.943789i \(-0.392766\pi\)
0.330548 + 0.943789i \(0.392766\pi\)
\(620\) −1.59581 + 4.06607i −0.0640895 + 0.163297i
\(621\) −3.48902 25.6212i −0.140009 1.02814i
\(622\) 33.2251 + 16.0004i 1.33220 + 0.641556i
\(623\) −2.15279 + 2.85426i −0.0862497 + 0.114354i
\(624\) 3.61917 34.5121i 0.144883 1.38159i
\(625\) 8.78072 + 11.0107i 0.351229 + 0.440427i
\(626\) −0.997003 + 13.3041i −0.0398482 + 0.531738i
\(627\) −26.1643 8.92930i −1.04490 0.356602i
\(628\) 0.360369 + 4.80879i 0.0143803 + 0.191892i
\(629\) 6.79557 29.7733i 0.270957 1.18714i
\(630\) 37.5073 23.8309i 1.49433 0.949447i
\(631\) 4.06390 + 17.8051i 0.161781 + 0.708809i 0.989121 + 0.147107i \(0.0469962\pi\)
−0.827339 + 0.561702i \(0.810147\pi\)
\(632\) −3.14394 + 0.969776i −0.125059 + 0.0385756i
\(633\) −38.0205 6.89048i −1.51118 0.273872i
\(634\) −20.0391 18.5936i −0.795855 0.738446i
\(635\) 61.0276 29.3894i 2.42181 1.16628i
\(636\) −1.59795 0.0474491i −0.0633629 0.00188148i
\(637\) 32.0926 1.73413i 1.27156 0.0687086i
\(638\) −11.3021 −0.447455
\(639\) −26.1884 + 10.7474i −1.03600 + 0.425159i
\(640\) 45.8585 14.1455i 1.81272 0.559149i
\(641\) 11.9898 15.0347i 0.473567 0.593834i −0.486474 0.873695i \(-0.661717\pi\)
0.960040 + 0.279861i \(0.0902884\pi\)
\(642\) 11.2322 43.2511i 0.443299 1.70698i
\(643\) 4.74403 4.40182i 0.187086 0.173591i −0.581069 0.813854i \(-0.697365\pi\)
0.768155 + 0.640264i \(0.221175\pi\)
\(644\) −2.66193 + 0.0718663i −0.104895 + 0.00283193i
\(645\) −12.1003 11.9150i −0.476448 0.469153i
\(646\) 1.82812 + 24.3945i 0.0719263 + 0.959790i
\(647\) 32.2555 29.9288i 1.26810 1.17662i 0.292690 0.956207i \(-0.405450\pi\)
0.975406 0.220414i \(-0.0707408\pi\)
\(648\) 22.7147 7.78183i 0.892316 0.305699i
\(649\) −31.9373 + 4.81377i −1.25365 + 0.188957i
\(650\) 4.70123 62.7336i 0.184398 2.46061i
\(651\) −23.6044 11.4457i −0.925128 0.448592i
\(652\) 0.193053 + 2.57612i 0.00756056 + 0.100889i
\(653\) 5.80740 + 25.4439i 0.227261 + 0.995696i 0.951862 + 0.306527i \(0.0991670\pi\)
−0.724601 + 0.689169i \(0.757976\pi\)
\(654\) 4.70891 0.567389i 0.184133 0.0221867i
\(655\) −19.8633 −0.776125
\(656\) −7.33889 + 12.7113i −0.286536 + 0.496294i
\(657\) −5.14475 + 11.1189i −0.200716 + 0.433788i
\(658\) 16.6588 + 19.7705i 0.649429 + 0.770732i
\(659\) 7.65377 + 19.5015i 0.298149 + 0.759670i 0.998928 + 0.0462921i \(0.0147405\pi\)
−0.700779 + 0.713378i \(0.747164\pi\)
\(660\) 1.51524 + 4.22544i 0.0589805 + 0.164475i
\(661\) 30.0945 20.5181i 1.17054 0.798062i 0.187648 0.982236i \(-0.439914\pi\)
0.982893 + 0.184175i \(0.0589613\pi\)
\(662\) −6.80127 + 4.63703i −0.264339 + 0.180223i
\(663\) 9.41625 + 26.2585i 0.365697 + 1.01979i
\(664\) 5.44142 + 13.8645i 0.211168 + 0.538047i
\(665\) 42.7953 + 19.2041i 1.65953 + 0.744702i
\(666\) 22.3252 + 31.6835i 0.865085 + 1.22771i
\(667\) 5.57917 9.66341i 0.216026 0.374169i
\(668\) −0.795241 −0.0307688
\(669\) 4.77052 0.574814i 0.184439 0.0222236i
\(670\) −17.8056 78.0113i −0.687889 3.01384i
\(671\) 1.26919 + 16.9361i 0.0489965 + 0.653812i
\(672\) −1.14863 5.09571i −0.0443094 0.196571i
\(673\) −1.95233 + 26.0520i −0.0752568 + 1.00423i 0.823937 + 0.566682i \(0.191773\pi\)
−0.899194 + 0.437551i \(0.855846\pi\)
\(674\) 25.3090 3.81471i 0.974865 0.146937i
\(675\) 44.9049 16.8892i 1.72839 0.650066i
\(676\) −1.19803 + 1.11161i −0.0460781 + 0.0427543i
\(677\) −1.38278 18.4519i −0.0531445 0.709164i −0.958606 0.284736i \(-0.908094\pi\)
0.905461 0.424429i \(-0.139525\pi\)
\(678\) 16.8075 + 16.5501i 0.645488 + 0.635604i
\(679\) −6.72154 + 33.6055i −0.257949 + 1.28966i
\(680\) −25.8811 + 24.0141i −0.992494 + 0.920900i
\(681\) −4.46937 + 17.2099i −0.171267 + 0.659486i
\(682\) 17.9902 22.5590i 0.688880 0.863828i
\(683\) −29.1932 + 9.00490i −1.11705 + 0.344563i −0.797687 0.603071i \(-0.793943\pi\)
−0.319358 + 0.947634i \(0.603467\pi\)
\(684\) −2.25647 1.74320i −0.0862782 0.0666530i
\(685\) 60.9760 2.32977
\(686\) 25.5217 10.1988i 0.974423 0.389393i
\(687\) −34.8653 1.03528i −1.33019 0.0394984i
\(688\) −10.2172 + 4.92034i −0.389527 + 0.187586i
\(689\) −15.3593 14.2513i −0.585142 0.542933i
\(690\) −47.4824 8.60526i −1.80762 0.327597i
\(691\) 20.3210 6.26821i 0.773048 0.238454i 0.116959 0.993137i \(-0.462686\pi\)
0.656090 + 0.754683i \(0.272209\pi\)
\(692\) −0.384973 1.68668i −0.0146345 0.0641179i
\(693\) −26.0051 + 7.10818i −0.987851 + 0.270017i
\(694\) 9.31438 40.8090i 0.353569 1.54909i
\(695\) −0.990155 13.2127i −0.0375587 0.501186i
\(696\) 9.80598 + 3.34657i 0.371695 + 0.126851i
\(697\) 0.881756 11.7662i 0.0333989 0.445677i
\(698\) 15.0163 + 18.8298i 0.568374 + 0.712719i
\(699\) −4.14388 + 39.5156i −0.156736 + 1.49462i
\(700\) −1.22901 4.78541i −0.0464521 0.180871i
\(701\) −19.3762 9.33109i −0.731829 0.352430i 0.0305740 0.999533i \(-0.490266\pi\)
−0.762403 + 0.647102i \(0.775981\pi\)
\(702\) −32.7692 13.4031i −1.23679 0.505868i
\(703\) −14.9470 + 38.0842i −0.563735 + 1.43637i
\(704\) −23.8967 −0.900639
\(705\) 20.3980 + 37.8845i 0.768233 + 1.42681i
\(706\) −13.5328 + 34.4811i −0.509315 + 1.29771i
\(707\) 1.19019 + 11.6521i 0.0447617 + 0.438221i
\(708\) −3.27780 0.594038i −0.123187 0.0223253i
\(709\) −16.9422 2.55363i −0.636279 0.0959037i −0.177022 0.984207i \(-0.556646\pi\)
−0.459257 + 0.888303i \(0.651884\pi\)
\(710\) 3.94787 + 52.6807i 0.148161 + 1.97707i
\(711\) 0.0570837 + 3.69928i 0.00214081 + 0.138734i
\(712\) 1.31704 + 3.35576i 0.0493582 + 0.125763i
\(713\) 10.4074 + 26.5177i 0.389762 + 0.993098i
\(714\) 14.8231 + 18.6907i 0.554741 + 0.699480i
\(715\) −21.4942 + 54.7663i −0.803837 + 2.04814i
\(716\) −0.960435 −0.0358932
\(717\) 6.08127 + 11.2945i 0.227109 + 0.421802i
\(718\) −16.4168 20.5861i −0.612671 0.768265i
\(719\) −2.32534 0.717273i −0.0867206 0.0267498i 0.251091 0.967963i \(-0.419211\pi\)
−0.337812 + 0.941214i \(0.609687\pi\)
\(720\) −0.762004 49.3813i −0.0283982 1.84033i
\(721\) −2.95486 28.9283i −0.110045 1.07735i
\(722\) 0.341994 4.56360i 0.0127277 0.169839i
\(723\) 14.7360 + 19.6475i 0.548038 + 0.730699i
\(724\) −0.285786 + 3.81355i −0.0106212 + 0.141730i
\(725\) 19.7833 + 6.10233i 0.734732 + 0.226635i
\(726\) −0.0621756 1.37723i −0.00230755 0.0511138i
\(727\) −19.7309 18.3076i −0.731777 0.678990i 0.223500 0.974704i \(-0.428252\pi\)
−0.955276 + 0.295714i \(0.904442\pi\)
\(728\) 15.4406 28.4932i 0.572267 1.05603i
\(729\) −1.24937 26.9711i −0.0462728 0.998929i
\(730\) 16.7603 + 15.5513i 0.620326 + 0.575579i
\(731\) 5.68386 7.12734i 0.210225 0.263614i
\(732\) −0.440301 + 1.69544i −0.0162740 + 0.0626652i
\(733\) 8.55097 4.11793i 0.315837 0.152099i −0.269248 0.963071i \(-0.586775\pi\)
0.585086 + 0.810972i \(0.301061\pi\)
\(734\) 2.70576 + 4.68651i 0.0998714 + 0.172982i
\(735\) 45.0512 7.91422i 1.66174 0.291921i
\(736\) −2.83619 + 4.91242i −0.104543 + 0.181074i
\(737\) −3.62771 + 48.4085i −0.133628 + 1.78315i
\(738\) 10.3538 + 10.8191i 0.381130 + 0.398256i
\(739\) 28.2386 + 4.25629i 1.03878 + 0.156570i 0.646215 0.763156i \(-0.276351\pi\)
0.392561 + 0.919726i \(0.371589\pi\)
\(740\) 6.34785 1.95805i 0.233352 0.0719795i
\(741\) −7.23083 36.6651i −0.265631 1.34692i
\(742\) −16.3471 7.33564i −0.600121 0.269300i
\(743\) −14.0782 + 4.34256i −0.516480 + 0.159313i −0.542028 0.840361i \(-0.682343\pi\)
0.0255475 + 0.999674i \(0.491867\pi\)
\(744\) −22.2884 + 14.2458i −0.817133 + 0.522275i
\(745\) 11.6271 + 50.9418i 0.425985 + 1.86636i
\(746\) 17.5138 + 11.9407i 0.641227 + 0.437181i
\(747\) 16.6803 1.50915i 0.610299 0.0552170i
\(748\) −2.17110 + 1.04555i −0.0793832 + 0.0382289i
\(749\) 27.6973 36.7223i 1.01204 1.34180i
\(750\) −1.85124 41.0060i −0.0675976 1.49733i
\(751\) 10.5049 + 46.0249i 0.383328 + 1.67947i 0.686970 + 0.726685i \(0.258940\pi\)
−0.303642 + 0.952786i \(0.598203\pi\)
\(752\) 28.4118 4.28239i 1.03607 0.156163i
\(753\) −0.276500 0.00821031i −0.0100762 0.000299200i
\(754\) −7.63899 13.2311i −0.278195 0.481849i
\(755\) 12.4904 + 15.6624i 0.454571 + 0.570014i
\(756\) −2.77518 0.172460i −0.100932 0.00627230i
\(757\) 25.4985 31.9741i 0.926760 1.16212i −0.0597166 0.998215i \(-0.519020\pi\)
0.986476 0.163904i \(-0.0524089\pi\)
\(758\) 52.2915 + 7.88168i 1.89931 + 0.286275i
\(759\) 25.9876 + 13.4794i 0.943289 + 0.489271i
\(760\) 39.0798 26.6442i 1.41757 0.966486i
\(761\) −19.0587 + 23.8988i −0.690876 + 0.866331i −0.996305 0.0858840i \(-0.972629\pi\)
0.305429 + 0.952215i \(0.401200\pi\)
\(762\) −45.4094 8.22957i −1.64501 0.298126i
\(763\) 4.70232 + 1.31259i 0.170235 + 0.0475190i
\(764\) 2.26966 + 2.84606i 0.0821134 + 0.102967i
\(765\) 17.7757 + 35.4998i 0.642681 + 1.28350i
\(766\) −14.1741 24.5502i −0.512130 0.887035i
\(767\) −27.2214 34.1346i −0.982909 1.23253i
\(768\) −7.87830 2.68870i −0.284284 0.0970200i
\(769\) −2.85454 38.0912i −0.102937 1.37360i −0.774461 0.632621i \(-0.781979\pi\)
0.671524 0.740983i \(-0.265640\pi\)
\(770\) −2.40439 + 50.2538i −0.0866483 + 1.81102i
\(771\) 5.11423 2.27844i 0.184184 0.0820560i
\(772\) −0.861887 + 2.19605i −0.0310200 + 0.0790377i