Properties

Label 441.2.bn.a.131.23
Level $441$
Weight $2$
Character 441.131
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.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 131.23
Character \(\chi\) \(=\) 441.131
Dual form 441.2.bn.a.101.23

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.419561 - 0.334589i) q^{2} +(-1.08122 + 1.35313i) q^{3} +(-0.380960 - 1.66910i) q^{4} +(0.121548 + 1.62194i) q^{5} +(0.906381 - 0.205955i) q^{6} +(-2.56323 - 0.655614i) q^{7} +(-0.864302 + 1.79474i) q^{8} +(-0.661914 - 2.92607i) q^{9} +O(q^{10})\) \(q+(-0.419561 - 0.334589i) q^{2} +(-1.08122 + 1.35313i) q^{3} +(-0.380960 - 1.66910i) q^{4} +(0.121548 + 1.62194i) q^{5} +(0.906381 - 0.205955i) q^{6} +(-2.56323 - 0.655614i) q^{7} +(-0.864302 + 1.79474i) q^{8} +(-0.661914 - 2.92607i) q^{9} +(0.491687 - 0.721173i) q^{10} +(1.54228 - 0.605300i) q^{11} +(2.67040 + 1.28918i) q^{12} +(5.17322 - 2.03034i) q^{13} +(0.856072 + 1.13270i) q^{14} +(-2.32612 - 1.58921i) q^{15} +(-2.12182 + 1.02182i) q^{16} +(4.27109 - 1.31746i) q^{17} +(-0.701316 + 1.44913i) q^{18} +(-0.895437 - 0.516981i) q^{19} +(2.66087 - 0.820770i) q^{20} +(3.65856 - 2.75952i) q^{21} +(-0.849607 - 0.262069i) q^{22} +(2.69770 + 2.90743i) q^{23} +(-1.49401 - 3.11003i) q^{24} +(2.32823 - 0.350924i) q^{25} +(-2.84981 - 0.879049i) q^{26} +(4.67502 + 2.26808i) q^{27} +(-0.117792 + 4.52804i) q^{28} +(-1.15420 - 3.74183i) q^{29} +(0.444216 + 1.44506i) q^{30} -2.17271i q^{31} +(5.11626 + 1.16775i) q^{32} +(-0.848499 + 2.74137i) q^{33} +(-2.23279 - 0.876306i) q^{34} +(0.751813 - 4.23711i) q^{35} +(-4.63172 + 2.21951i) q^{36} +(-4.26592 - 3.95820i) q^{37} +(0.202714 + 0.516508i) q^{38} +(-2.84609 + 9.19527i) q^{39} +(-3.01602 - 1.18370i) q^{40} +(9.00665 - 6.14063i) q^{41} +(-2.45829 - 0.0663249i) q^{42} +(3.00057 + 2.04575i) q^{43} +(-1.59785 - 2.34362i) q^{44} +(4.66546 - 1.42924i) q^{45} +(-0.159057 - 2.12247i) q^{46} +(2.85790 - 3.58369i) q^{47} +(0.911515 - 3.97591i) q^{48} +(6.14034 + 3.36098i) q^{49} +(-1.09425 - 0.631765i) q^{50} +(-2.83531 + 7.20381i) q^{51} +(-5.35961 - 7.86111i) q^{52} +(1.67324 + 1.80332i) q^{53} +(-1.20258 - 2.51581i) q^{54} +(1.16922 + 2.42792i) q^{55} +(3.39207 - 4.03370i) q^{56} +(1.66771 - 0.652670i) q^{57} +(-0.767717 + 1.95611i) q^{58} +(7.69832 - 3.70732i) q^{59} +(-1.76639 + 4.48794i) q^{60} +(-7.35573 - 1.67890i) q^{61} +(-0.726963 + 0.911582i) q^{62} +(-0.221730 + 7.93416i) q^{63} +(1.18083 + 1.48071i) q^{64} +(3.92188 + 8.14388i) q^{65} +(1.27323 - 0.866272i) q^{66} -8.09241 q^{67} +(-3.82608 - 6.62696i) q^{68} +(-6.85095 + 0.506757i) q^{69} +(-1.73312 + 1.52618i) q^{70} +(0.590088 - 0.134684i) q^{71} +(5.82363 + 1.34104i) q^{72} +(-2.26395 - 0.888534i) q^{73} +(0.465446 + 3.08803i) q^{74} +(-2.04249 + 3.52982i) q^{75} +(-0.521764 + 1.69152i) q^{76} +(-4.35007 + 0.540386i) q^{77} +(4.27074 - 2.90571i) q^{78} -15.5420 q^{79} +(-1.91523 - 3.31728i) q^{80} +(-8.12374 + 3.87361i) q^{81} +(-5.83342 - 0.437155i) q^{82} +(-5.28533 + 13.4668i) q^{83} +(-5.99967 - 5.05521i) q^{84} +(2.65598 + 6.76734i) q^{85} +(-0.574436 - 1.86228i) q^{86} +(6.31113 + 2.48397i) q^{87} +(-0.246638 + 3.29116i) q^{88} +(-10.7624 + 1.62217i) q^{89} +(-2.43565 - 0.961355i) q^{90} +(-14.5913 + 1.81260i) q^{91} +(3.82507 - 5.61034i) q^{92} +(2.93995 + 2.34918i) q^{93} +(-2.39812 + 0.547356i) q^{94} +(0.729675 - 1.51519i) q^{95} +(-7.11194 + 5.66036i) q^{96} +(14.8496 - 8.57340i) q^{97} +(-1.45170 - 3.46463i) q^{98} +(-2.79201 - 4.11216i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 21q^{2} - 11q^{3} + 99q^{4} - 18q^{5} - 34q^{6} - 5q^{7} - 23q^{9} + O(q^{10}) \) \( 648q - 21q^{2} - 11q^{3} + 99q^{4} - 18q^{5} - 34q^{6} - 5q^{7} - 23q^{9} - 22q^{10} - 18q^{11} - 72q^{12} - 4q^{13} + 66q^{14} - 10q^{15} - 105q^{16} - 9q^{17} - 27q^{18} - 36q^{19} - 27q^{20} - 11q^{21} - 9q^{22} - 27q^{23} - 8q^{24} + 38q^{25} + 6q^{26} - 29q^{27} - 26q^{28} + 3q^{29} - 16q^{30} - 21q^{32} - 11q^{33} - 13q^{34} + 28q^{36} - 13q^{37} - 90q^{38} - 15q^{39} - 31q^{40} - 27q^{41} - 4q^{42} - 9q^{43} + 51q^{44} - 11q^{45} - 108q^{46} + 75q^{47} - 15q^{48} - 13q^{49} - 45q^{50} - 38q^{51} + 64q^{52} - 12q^{53} - 41q^{54} + 14q^{55} + 3q^{56} - 7q^{57} - 90q^{58} + 15q^{59} - 69q^{60} - 56q^{61} + 66q^{62} + 13q^{63} + 64q^{64} - 21q^{65} - 204q^{66} - 26q^{67} + 3q^{68} + 58q^{69} - 22q^{70} - 63q^{71} - 18q^{72} - 22q^{73} - 12q^{74} + 118q^{75} - 63q^{76} - 69q^{77} - 147q^{78} - 2q^{79} - 45q^{80} + 29q^{81} - 28q^{82} - 51q^{83} - 31q^{84} - 10q^{85} - 72q^{86} - 67q^{87} + 4q^{88} + 132q^{89} + 58q^{90} - 13q^{91} - 15q^{92} + 217q^{93} - 7q^{94} - 21q^{95} - 44q^{96} + 3q^{97} + 21q^{98} - 148q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{41}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.419561 0.334589i −0.296674 0.236590i 0.463828 0.885925i \(-0.346476\pi\)
−0.760502 + 0.649335i \(0.775047\pi\)
\(3\) −1.08122 + 1.35313i −0.624244 + 0.781229i
\(4\) −0.380960 1.66910i −0.190480 0.834548i
\(5\) 0.121548 + 1.62194i 0.0543578 + 0.725355i 0.956093 + 0.293065i \(0.0946752\pi\)
−0.901735 + 0.432290i \(0.857706\pi\)
\(6\) 0.906381 0.205955i 0.370028 0.0840808i
\(7\) −2.56323 0.655614i −0.968812 0.247799i
\(8\) −0.864302 + 1.79474i −0.305577 + 0.634537i
\(9\) −0.661914 2.92607i −0.220638 0.975356i
\(10\) 0.491687 0.721173i 0.155485 0.228055i
\(11\) 1.54228 0.605300i 0.465015 0.182505i −0.121254 0.992622i \(-0.538692\pi\)
0.586269 + 0.810117i \(0.300596\pi\)
\(12\) 2.67040 + 1.28918i 0.770879 + 0.372153i
\(13\) 5.17322 2.03034i 1.43479 0.563114i 0.484588 0.874743i \(-0.338970\pi\)
0.950204 + 0.311628i \(0.100874\pi\)
\(14\) 0.856072 + 1.13270i 0.228795 + 0.302727i
\(15\) −2.32612 1.58921i −0.600601 0.410333i
\(16\) −2.12182 + 1.02182i −0.530456 + 0.255454i
\(17\) 4.27109 1.31746i 1.03589 0.319530i 0.270245 0.962791i \(-0.412895\pi\)
0.765647 + 0.643261i \(0.222419\pi\)
\(18\) −0.701316 + 1.44913i −0.165302 + 0.341564i
\(19\) −0.895437 0.516981i −0.205427 0.118604i 0.393757 0.919214i \(-0.371175\pi\)
−0.599184 + 0.800611i \(0.704508\pi\)
\(20\) 2.66087 0.820770i 0.594989 0.183530i
\(21\) 3.65856 2.75952i 0.798363 0.602177i
\(22\) −0.849607 0.262069i −0.181137 0.0558733i
\(23\) 2.69770 + 2.90743i 0.562510 + 0.606242i 0.948700 0.316177i \(-0.102399\pi\)
−0.386190 + 0.922419i \(0.626209\pi\)
\(24\) −1.49401 3.11003i −0.304964 0.634832i
\(25\) 2.32823 0.350924i 0.465646 0.0701848i
\(26\) −2.84981 0.879049i −0.558893 0.172396i
\(27\) 4.67502 + 2.26808i 0.899708 + 0.436491i
\(28\) −0.117792 + 4.52804i −0.0222606 + 0.855720i
\(29\) −1.15420 3.74183i −0.214330 0.694841i −0.997344 0.0728368i \(-0.976795\pi\)
0.783014 0.622004i \(-0.213681\pi\)
\(30\) 0.444216 + 1.44506i 0.0811023 + 0.263831i
\(31\) 2.17271i 0.390229i −0.980780 0.195115i \(-0.937492\pi\)
0.980780 0.195115i \(-0.0625079\pi\)
\(32\) 5.11626 + 1.16775i 0.904436 + 0.206432i
\(33\) −0.848499 + 2.74137i −0.147705 + 0.477211i
\(34\) −2.23279 0.876306i −0.382921 0.150285i
\(35\) 0.751813 4.23711i 0.127080 0.716202i
\(36\) −4.63172 + 2.21951i −0.771954 + 0.369919i
\(37\) −4.26592 3.95820i −0.701313 0.650724i 0.246650 0.969105i \(-0.420670\pi\)
−0.947963 + 0.318381i \(0.896861\pi\)
\(38\) 0.202714 + 0.516508i 0.0328846 + 0.0837887i
\(39\) −2.84609 + 9.19527i −0.455739 + 1.47242i
\(40\) −3.01602 1.18370i −0.476875 0.187160i
\(41\) 9.00665 6.14063i 1.40660 0.959005i 0.407654 0.913136i \(-0.366347\pi\)
0.998947 0.0458684i \(-0.0146055\pi\)
\(42\) −2.45829 0.0663249i −0.379323 0.0102341i
\(43\) 3.00057 + 2.04575i 0.457583 + 0.311975i 0.770084 0.637943i \(-0.220214\pi\)
−0.312501 + 0.949917i \(0.601167\pi\)
\(44\) −1.59785 2.34362i −0.240885 0.353313i
\(45\) 4.66546 1.42924i 0.695486 0.213059i
\(46\) −0.159057 2.12247i −0.0234517 0.312941i
\(47\) 2.85790 3.58369i 0.416867 0.522735i −0.528416 0.848985i \(-0.677214\pi\)
0.945283 + 0.326251i \(0.105785\pi\)
\(48\) 0.911515 3.97591i 0.131566 0.573873i
\(49\) 6.14034 + 3.36098i 0.877192 + 0.480141i
\(50\) −1.09425 0.631765i −0.154750 0.0893451i
\(51\) −2.83531 + 7.20381i −0.397023 + 1.00873i
\(52\) −5.35961 7.86111i −0.743245 1.09014i
\(53\) 1.67324 + 1.80332i 0.229837 + 0.247706i 0.837432 0.546542i \(-0.184056\pi\)
−0.607595 + 0.794247i \(0.707865\pi\)
\(54\) −1.20258 2.51581i −0.163651 0.342358i
\(55\) 1.16922 + 2.42792i 0.157658 + 0.327380i
\(56\) 3.39207 4.03370i 0.453284 0.539025i
\(57\) 1.66771 0.652670i 0.220893 0.0864482i
\(58\) −0.767717 + 1.95611i −0.100806 + 0.256850i
\(59\) 7.69832 3.70732i 1.00224 0.482652i 0.140539 0.990075i \(-0.455116\pi\)
0.861697 + 0.507424i \(0.169402\pi\)
\(60\) −1.76639 + 4.48794i −0.228040 + 0.579390i
\(61\) −7.35573 1.67890i −0.941805 0.214961i −0.276060 0.961140i \(-0.589029\pi\)
−0.665745 + 0.746179i \(0.731886\pi\)
\(62\) −0.726963 + 0.911582i −0.0923244 + 0.115771i
\(63\) −0.221730 + 7.93416i −0.0279353 + 0.999610i
\(64\) 1.18083 + 1.48071i 0.147604 + 0.185089i
\(65\) 3.92188 + 8.14388i 0.486450 + 1.01012i
\(66\) 1.27323 0.866272i 0.156723 0.106631i
\(67\) −8.09241 −0.988646 −0.494323 0.869278i \(-0.664584\pi\)
−0.494323 + 0.869278i \(0.664584\pi\)
\(68\) −3.82608 6.62696i −0.463980 0.803637i
\(69\) −6.85095 + 0.506757i −0.824758 + 0.0610064i
\(70\) −1.73312 + 1.52618i −0.207147 + 0.182413i
\(71\) 0.590088 0.134684i 0.0700305 0.0159840i −0.187362 0.982291i \(-0.559994\pi\)
0.257393 + 0.966307i \(0.417137\pi\)
\(72\) 5.82363 + 1.34104i 0.686321 + 0.158043i
\(73\) −2.26395 0.888534i −0.264975 0.103995i 0.229134 0.973395i \(-0.426411\pi\)
−0.494109 + 0.869400i \(0.664506\pi\)
\(74\) 0.465446 + 3.08803i 0.0541070 + 0.358977i
\(75\) −2.04249 + 3.52982i −0.235846 + 0.407589i
\(76\) −0.521764 + 1.69152i −0.0598505 + 0.194030i
\(77\) −4.35007 + 0.540386i −0.495736 + 0.0615827i
\(78\) 4.27074 2.90571i 0.483567 0.329007i
\(79\) −15.5420 −1.74861 −0.874304 0.485379i \(-0.838682\pi\)
−0.874304 + 0.485379i \(0.838682\pi\)
\(80\) −1.91523 3.31728i −0.214129 0.370883i
\(81\) −8.12374 + 3.87361i −0.902638 + 0.430401i
\(82\) −5.83342 0.437155i −0.644194 0.0482756i
\(83\) −5.28533 + 13.4668i −0.580140 + 1.47817i 0.275860 + 0.961198i \(0.411037\pi\)
−0.856000 + 0.516976i \(0.827058\pi\)
\(84\) −5.99967 5.05521i −0.654617 0.551569i
\(85\) 2.65598 + 6.76734i 0.288082 + 0.734021i
\(86\) −0.574436 1.86228i −0.0619430 0.200814i
\(87\) 6.31113 + 2.48397i 0.676625 + 0.266310i
\(88\) −0.246638 + 3.29116i −0.0262917 + 0.350838i
\(89\) −10.7624 + 1.62217i −1.14081 + 0.171949i −0.692150 0.721754i \(-0.743336\pi\)
−0.448659 + 0.893703i \(0.648098\pi\)
\(90\) −2.43565 0.961355i −0.256740 0.101336i
\(91\) −14.5913 + 1.81260i −1.52958 + 0.190012i
\(92\) 3.82507 5.61034i 0.398791 0.584919i
\(93\) 2.93995 + 2.34918i 0.304859 + 0.243598i
\(94\) −2.39812 + 0.547356i −0.247348 + 0.0564555i
\(95\) 0.729675 1.51519i 0.0748631 0.155455i
\(96\) −7.11194 + 5.66036i −0.725859 + 0.577708i
\(97\) 14.8496 8.57340i 1.50774 0.870496i 0.507785 0.861484i \(-0.330465\pi\)
0.999959 0.00901232i \(-0.00286875\pi\)
\(98\) −1.45170 3.46463i −0.146644 0.349980i
\(99\) −2.79201 4.11216i −0.280607 0.413287i
\(100\) −1.47269 3.75235i −0.147269 0.375235i
\(101\) −11.3547 + 7.74149i −1.12983 + 0.770307i −0.975996 0.217790i \(-0.930115\pi\)
−0.153837 + 0.988096i \(0.549163\pi\)
\(102\) 3.59990 2.07377i 0.356443 0.205334i
\(103\) 14.6528 1.09808i 1.44378 0.108197i 0.670337 0.742057i \(-0.266150\pi\)
0.773448 + 0.633860i \(0.218531\pi\)
\(104\) −0.827289 + 11.0394i −0.0811224 + 1.08250i
\(105\) 4.92047 + 5.59856i 0.480189 + 0.546363i
\(106\) −0.0986545 1.31645i −0.00958217 0.127865i
\(107\) −1.10367 7.32240i −0.106696 0.707883i −0.976664 0.214774i \(-0.931099\pi\)
0.869968 0.493109i \(-0.164140\pi\)
\(108\) 2.00464 8.66710i 0.192896 0.833992i
\(109\) 13.8361 + 2.08546i 1.32526 + 0.199751i 0.773258 0.634091i \(-0.218626\pi\)
0.552003 + 0.833842i \(0.313864\pi\)
\(110\) 0.321793 1.40987i 0.0306818 0.134426i
\(111\) 9.96836 1.49265i 0.946155 0.141676i
\(112\) 6.10865 1.22806i 0.577213 0.116041i
\(113\) −1.49307 9.90585i −0.140456 0.931864i −0.942406 0.334472i \(-0.891442\pi\)
0.801950 0.597392i \(-0.203796\pi\)
\(114\) −0.918081 0.284162i −0.0859862 0.0266142i
\(115\) −4.38779 + 4.72891i −0.409164 + 0.440974i
\(116\) −5.80577 + 3.35196i −0.539052 + 0.311222i
\(117\) −9.36513 13.7933i −0.865806 1.27519i
\(118\) −4.47034 1.02033i −0.411528 0.0939287i
\(119\) −11.8116 + 0.576765i −1.08276 + 0.0528719i
\(120\) 4.86269 2.80122i 0.443901 0.255715i
\(121\) −6.05133 + 5.61482i −0.550121 + 0.510438i
\(122\) 2.52444 + 3.16555i 0.228552 + 0.286595i
\(123\) −1.42913 + 18.8265i −0.128861 + 1.69753i
\(124\) −3.62645 + 0.827714i −0.325665 + 0.0743309i
\(125\) 2.66181 + 11.6622i 0.238080 + 1.04310i
\(126\) 2.74771 3.25467i 0.244785 0.289949i
\(127\) 2.74454 12.0246i 0.243539 1.06701i −0.694231 0.719753i \(-0.744255\pi\)
0.937769 0.347259i \(-0.112888\pi\)
\(128\) 11.5120i 1.01753i
\(129\) −6.01245 + 1.84824i −0.529367 + 0.162729i
\(130\) 1.07938 4.72907i 0.0946679 0.414767i
\(131\) 11.4014 + 7.77335i 0.996146 + 0.679161i 0.947533 0.319657i \(-0.103568\pi\)
0.0486128 + 0.998818i \(0.484520\pi\)
\(132\) 4.89885 + 0.371874i 0.426390 + 0.0323675i
\(133\) 1.95627 + 1.91220i 0.169631 + 0.165809i
\(134\) 3.39526 + 2.70763i 0.293306 + 0.233904i
\(135\) −3.11045 + 7.85830i −0.267705 + 0.676335i
\(136\) −1.32702 + 8.80419i −0.113791 + 0.754953i
\(137\) 8.60665 + 0.644979i 0.735315 + 0.0551043i 0.437123 0.899402i \(-0.355997\pi\)
0.298192 + 0.954506i \(0.403616\pi\)
\(138\) 3.04395 + 2.07964i 0.259118 + 0.177030i
\(139\) −7.92440 11.6230i −0.672139 0.985846i −0.999166 0.0408315i \(-0.986999\pi\)
0.327027 0.945015i \(-0.393953\pi\)
\(140\) −7.35855 + 0.359322i −0.621911 + 0.0303682i
\(141\) 1.75917 + 7.74187i 0.148149 + 0.651983i
\(142\) −0.292641 0.140929i −0.0245579 0.0118265i
\(143\) 6.74958 6.26270i 0.564428 0.523713i
\(144\) 4.39437 + 5.53224i 0.366197 + 0.461020i
\(145\) 5.92875 2.32686i 0.492356 0.193235i
\(146\) 0.652571 + 1.13029i 0.0540071 + 0.0935431i
\(147\) −11.1869 + 4.67470i −0.922682 + 0.385563i
\(148\) −4.98146 + 8.62814i −0.409474 + 0.709229i
\(149\) −1.86754 + 12.3903i −0.152995 + 1.01505i 0.772150 + 0.635440i \(0.219181\pi\)
−0.925145 + 0.379614i \(0.876057\pi\)
\(150\) 2.03799 0.797581i 0.166401 0.0651222i
\(151\) −1.99960 0.616795i −0.162725 0.0501941i 0.212322 0.977200i \(-0.431897\pi\)
−0.375047 + 0.927006i \(0.622374\pi\)
\(152\) 1.70177 1.16025i 0.138032 0.0941087i
\(153\) −6.68207 11.6255i −0.540213 0.939863i
\(154\) 2.00593 + 1.22876i 0.161642 + 0.0990162i
\(155\) 3.52400 0.264088i 0.283055 0.0212120i
\(156\) 16.4320 + 1.24737i 1.31562 + 0.0998692i
\(157\) −3.33630 6.92790i −0.266266 0.552907i 0.724374 0.689407i \(-0.242129\pi\)
−0.990640 + 0.136500i \(0.956415\pi\)
\(158\) 6.52080 + 5.20017i 0.518767 + 0.413703i
\(159\) −4.24928 + 0.314314i −0.336990 + 0.0249267i
\(160\) −1.27216 + 8.44022i −0.100573 + 0.667258i
\(161\) −5.00869 9.22109i −0.394740 0.726724i
\(162\) 4.70447 + 1.09290i 0.369618 + 0.0858660i
\(163\) 0.0474993 0.633834i 0.00372043 0.0496457i −0.995035 0.0995298i \(-0.968266\pi\)
0.998755 + 0.0498841i \(0.0158852\pi\)
\(164\) −13.6805 12.6936i −1.06826 0.991205i
\(165\) −4.54947 1.04301i −0.354176 0.0811982i
\(166\) 6.72336 3.88173i 0.521834 0.301281i
\(167\) 7.53879 + 6.99498i 0.583369 + 0.541287i 0.915693 0.401878i \(-0.131642\pi\)
−0.332324 + 0.943165i \(0.607833\pi\)
\(168\) 1.79053 + 8.95123i 0.138142 + 0.690602i
\(169\) 13.1102 12.1645i 1.00848 0.935731i
\(170\) 1.14993 3.72797i 0.0881954 0.285922i
\(171\) −0.920018 + 2.96231i −0.0703555 + 0.226533i
\(172\) 2.27146 5.78759i 0.173197 0.441299i
\(173\) 3.51146 + 15.3847i 0.266971 + 1.16968i 0.913517 + 0.406801i \(0.133356\pi\)
−0.646546 + 0.762875i \(0.723787\pi\)
\(174\) −1.81680 3.15381i −0.137731 0.239090i
\(175\) −6.19787 0.626919i −0.468515 0.0473906i
\(176\) −2.65394 + 2.86027i −0.200048 + 0.215601i
\(177\) −3.30713 + 14.4253i −0.248579 + 1.08427i
\(178\) 5.05823 + 2.92037i 0.379130 + 0.218891i
\(179\) 2.39406 + 7.76136i 0.178941 + 0.580111i 0.999958 + 0.00920742i \(0.00293085\pi\)
−0.821017 + 0.570904i \(0.806593\pi\)
\(180\) −4.16290 7.24261i −0.310284 0.539832i
\(181\) 13.4727 10.7441i 1.00142 0.798606i 0.0218608 0.999761i \(-0.493041\pi\)
0.979559 + 0.201155i \(0.0644695\pi\)
\(182\) 6.72841 + 4.12158i 0.498743 + 0.305512i
\(183\) 10.2250 8.13799i 0.755850 0.601578i
\(184\) −7.54972 + 2.32878i −0.556573 + 0.171680i
\(185\) 5.90146 7.40019i 0.433884 0.544073i
\(186\) −0.447479 1.96930i −0.0328108 0.144396i
\(187\) 5.78976 4.61718i 0.423389 0.337642i
\(188\) −7.07026 3.40486i −0.515652 0.248325i
\(189\) −10.4962 8.87862i −0.763486 0.645825i
\(190\) −0.813107 + 0.391572i −0.0589890 + 0.0284076i
\(191\) −1.94462 + 4.03804i −0.140708 + 0.292183i −0.959400 0.282051i \(-0.908985\pi\)
0.818692 + 0.574233i \(0.194700\pi\)
\(192\) −3.28033 0.00316705i −0.236738 0.000228562i
\(193\) 9.52428 + 4.58665i 0.685573 + 0.330154i 0.744040 0.668135i \(-0.232907\pi\)
−0.0584674 + 0.998289i \(0.518621\pi\)
\(194\) −9.09886 1.37143i −0.653260 0.0984631i
\(195\) −15.2601 3.49853i −1.09280 0.250535i
\(196\) 3.27058 11.5292i 0.233613 0.823515i
\(197\) 16.4267i 1.17036i −0.810905 0.585178i \(-0.801024\pi\)
0.810905 0.585178i \(-0.198976\pi\)
\(198\) −0.204465 + 2.65947i −0.0145307 + 0.189001i
\(199\) −1.72408 + 0.129202i −0.122217 + 0.00915888i −0.135698 0.990750i \(-0.543328\pi\)
0.0134813 + 0.999909i \(0.495709\pi\)
\(200\) −1.38248 + 4.48187i −0.0977558 + 0.316916i
\(201\) 8.74970 10.9501i 0.617157 0.772359i
\(202\) 7.35419 + 0.551121i 0.517439 + 0.0387767i
\(203\) 0.505294 + 10.3479i 0.0354647 + 0.726281i
\(204\) 13.1040 + 1.98805i 0.917462 + 0.139191i
\(205\) 11.0545 + 13.8619i 0.772079 + 0.968156i
\(206\) −6.51515 4.44196i −0.453932 0.309486i
\(207\) 6.72170 9.81814i 0.467190 0.682408i
\(208\) −8.90202 + 9.59409i −0.617244 + 0.665231i
\(209\) −1.69394 0.255321i −0.117172 0.0176609i
\(210\) −0.191225 3.99527i −0.0131958 0.275700i
\(211\) −4.22616 + 0.636991i −0.290941 + 0.0438523i −0.292891 0.956146i \(-0.594617\pi\)
0.00195028 + 0.999998i \(0.499379\pi\)
\(212\) 2.37248 3.47979i 0.162943 0.238993i
\(213\) −0.455772 + 0.944087i −0.0312290 + 0.0646878i
\(214\) −1.98693 + 3.44147i −0.135824 + 0.235254i
\(215\) −2.95338 + 5.11541i −0.201419 + 0.348868i
\(216\) −8.11124 + 6.43015i −0.551900 + 0.437517i
\(217\) −1.42446 + 5.56915i −0.0966984 + 0.378059i
\(218\) −5.10733 5.50439i −0.345912 0.372805i
\(219\) 3.65013 2.10271i 0.246653 0.142088i
\(220\) 3.60700 2.87648i 0.243184 0.193932i
\(221\) 19.4204 15.4873i 1.30636 1.04179i
\(222\) −4.68176 2.70904i −0.314219 0.181819i
\(223\) 4.42300 + 4.76686i 0.296186 + 0.319212i 0.863558 0.504249i \(-0.168231\pi\)
−0.567373 + 0.823461i \(0.692040\pi\)
\(224\) −12.3486 6.34752i −0.825074 0.424111i
\(225\) −2.56792 6.58027i −0.171194 0.438685i
\(226\) −2.68795 + 4.65567i −0.178800 + 0.309691i
\(227\) −10.7303 + 18.5855i −0.712196 + 1.23356i 0.251834 + 0.967770i \(0.418966\pi\)
−0.964031 + 0.265790i \(0.914367\pi\)
\(228\) −1.72470 2.53492i −0.114221 0.167879i
\(229\) 6.66525 9.77612i 0.440452 0.646024i −0.540257 0.841500i \(-0.681673\pi\)
0.980708 + 0.195476i \(0.0626252\pi\)
\(230\) 3.42319 0.515963i 0.225718 0.0340216i
\(231\) 3.97218 6.47048i 0.261350 0.425726i
\(232\) 7.71321 + 1.16258i 0.506397 + 0.0763270i
\(233\) 13.3451 14.3826i 0.874264 0.942232i −0.124486 0.992221i \(-0.539728\pi\)
0.998750 + 0.0499891i \(0.0159187\pi\)
\(234\) −0.685830 + 8.92058i −0.0448341 + 0.583157i
\(235\) 6.15991 + 4.19975i 0.401828 + 0.273962i
\(236\) −9.12062 11.4369i −0.593702 0.744478i
\(237\) 16.8043 21.0303i 1.09156 1.36606i
\(238\) 5.14865 + 3.71003i 0.333737 + 0.240485i
\(239\) −16.7118 1.25237i −1.08100 0.0810094i −0.477697 0.878525i \(-0.658528\pi\)
−0.603299 + 0.797515i \(0.706147\pi\)
\(240\) 6.55949 + 0.995162i 0.423414 + 0.0642375i
\(241\) 1.79760 5.82767i 0.115793 0.375393i −0.879061 0.476710i \(-0.841829\pi\)
0.994854 + 0.101316i \(0.0323055\pi\)
\(242\) 4.41756 0.331050i 0.283971 0.0212807i
\(243\) 3.54208 15.1807i 0.227225 0.973842i
\(244\) 12.9170i 0.826927i
\(245\) −4.70498 + 10.3678i −0.300590 + 0.662375i
\(246\) 6.89876 7.42071i 0.439849 0.473127i
\(247\) −5.68193 0.856414i −0.361533 0.0544923i
\(248\) 3.89944 + 1.87787i 0.247615 + 0.119245i
\(249\) −12.5077 21.7123i −0.792643 1.37596i
\(250\) 2.78523 5.78360i 0.176154 0.365787i
\(251\) −2.15051 + 1.03563i −0.135739 + 0.0653684i −0.500520 0.865725i \(-0.666858\pi\)
0.364782 + 0.931093i \(0.381144\pi\)
\(252\) 13.3273 2.65251i 0.839543 0.167092i
\(253\) 5.92048 + 2.85116i 0.372218 + 0.179251i
\(254\) −5.17480 + 4.12677i −0.324696 + 0.258936i
\(255\) −12.0288 3.72311i −0.753272 0.233150i
\(256\) −1.49013 + 1.86857i −0.0931333 + 0.116785i
\(257\) 13.0410 4.02262i 0.813475 0.250924i 0.140017 0.990149i \(-0.455284\pi\)
0.673458 + 0.739225i \(0.264808\pi\)
\(258\) 3.14099 + 1.23625i 0.195550 + 0.0769655i
\(259\) 8.33951 + 12.9426i 0.518192 + 0.804213i
\(260\) 12.0988 9.64849i 0.750337 0.598374i
\(261\) −10.1849 + 5.85405i −0.630428 + 0.362357i
\(262\) −2.18271 7.07618i −0.134848 0.437168i
\(263\) −10.4098 6.01010i −0.641895 0.370598i 0.143449 0.989658i \(-0.454181\pi\)
−0.785344 + 0.619059i \(0.787514\pi\)
\(264\) −4.18669 3.89221i −0.257673 0.239549i
\(265\) −2.72151 + 2.93309i −0.167181 + 0.180178i
\(266\) −0.180975 1.45683i −0.0110963 0.0893242i
\(267\) 9.44152 16.3168i 0.577812 0.998572i
\(268\) 3.08289 + 13.5070i 0.188317 + 0.825072i
\(269\) 2.07051 5.27557i 0.126241 0.321657i −0.853755 0.520676i \(-0.825680\pi\)
0.979996 + 0.199018i \(0.0637753\pi\)
\(270\) 3.93432 2.25631i 0.239435 0.137315i
\(271\) 3.41169 11.0604i 0.207245 0.671872i −0.790953 0.611876i \(-0.790415\pi\)
0.998199 0.0599961i \(-0.0191088\pi\)
\(272\) −7.71631 + 7.15969i −0.467870 + 0.434120i
\(273\) 13.3237 21.7037i 0.806390 1.31357i
\(274\) −3.39521 3.15029i −0.205112 0.190316i
\(275\) 3.37837 1.95050i 0.203723 0.117620i
\(276\) 3.45576 + 11.2418i 0.208013 + 0.676679i
\(277\) −12.3801 11.4870i −0.743847 0.690190i 0.214203 0.976789i \(-0.431285\pi\)
−0.958050 + 0.286600i \(0.907475\pi\)
\(278\) −0.564142 + 7.52795i −0.0338350 + 0.451497i
\(279\) −6.35748 + 1.43814i −0.380612 + 0.0860994i
\(280\) 6.95472 + 5.01145i 0.415624 + 0.299491i
\(281\) −2.89358 + 19.1976i −0.172616 + 1.14524i 0.719853 + 0.694127i \(0.244209\pi\)
−0.892469 + 0.451108i \(0.851029\pi\)
\(282\) 1.85226 3.83678i 0.110301 0.228477i
\(283\) −16.1517 12.8806i −0.960121 0.765671i 0.0120541 0.999927i \(-0.496163\pi\)
−0.972175 + 0.234257i \(0.924734\pi\)
\(284\) −0.449600 0.933603i −0.0266788 0.0553992i
\(285\) 1.26130 + 2.62560i 0.0747129 + 0.155527i
\(286\) −4.92729 + 0.369249i −0.291357 + 0.0218342i
\(287\) −27.1120 + 9.83498i −1.60037 + 0.580541i
\(288\) 0.0303996 15.7435i 0.00179132 0.927693i
\(289\) 2.46049 1.67753i 0.144735 0.0986784i
\(290\) −3.26602 1.00743i −0.191787 0.0591585i
\(291\) −4.45477 + 29.3631i −0.261143 + 1.72130i
\(292\) −0.620574 + 4.11724i −0.0363164 + 0.240943i
\(293\) −7.47805 + 12.9524i −0.436872 + 0.756685i −0.997446 0.0714194i \(-0.977247\pi\)
0.560574 + 0.828104i \(0.310580\pi\)
\(294\) 6.25770 + 1.78170i 0.364956 + 0.103911i
\(295\) 6.94877 + 12.0356i 0.404573 + 0.700741i
\(296\) 10.7910 4.23515i 0.627213 0.246163i
\(297\) 8.58306 + 0.668216i 0.498040 + 0.0387738i
\(298\) 4.92921 4.57364i 0.285541 0.264944i
\(299\) 19.8589 + 9.56353i 1.14847 + 0.553073i
\(300\) 6.66971 + 2.06439i 0.385076 + 0.119188i
\(301\) −6.34994 7.21096i −0.366004 0.415633i
\(302\) 0.632581 + 0.927827i 0.0364010 + 0.0533904i
\(303\) 1.80171 23.7346i 0.103505 1.36352i
\(304\) 2.42822 + 0.181970i 0.139268 + 0.0104367i
\(305\) 1.82900 12.1346i 0.104728 0.694828i
\(306\) −1.08621 + 7.11334i −0.0620947 + 0.406642i
\(307\) 12.5798 + 10.0320i 0.717966 + 0.572558i 0.912863 0.408265i \(-0.133866\pi\)
−0.194898 + 0.980824i \(0.562438\pi\)
\(308\) 2.55916 + 7.05481i 0.145822 + 0.401985i
\(309\) −14.3571 + 21.0144i −0.816748 + 1.19547i
\(310\) −1.56690 1.06829i −0.0889937 0.0606749i
\(311\) 5.12975 22.4749i 0.290881 1.27443i −0.592421 0.805629i \(-0.701828\pi\)
0.883302 0.468805i \(-0.155315\pi\)
\(312\) −14.0433 13.0555i −0.795043 0.739122i
\(313\) 20.7783i 1.17446i 0.809421 + 0.587229i \(0.199781\pi\)
−0.809421 + 0.587229i \(0.800219\pi\)
\(314\) −0.918216 + 4.02297i −0.0518179 + 0.227029i
\(315\) −12.8957 + 0.604746i −0.726590 + 0.0340736i
\(316\) 5.92087 + 25.9410i 0.333075 + 1.45930i
\(317\) −21.9034 + 4.99931i −1.23022 + 0.280789i −0.787750 0.615995i \(-0.788754\pi\)
−0.442468 + 0.896784i \(0.645897\pi\)
\(318\) 1.88800 + 1.28989i 0.105874 + 0.0723332i
\(319\) −4.04504 5.07232i −0.226479 0.283995i
\(320\) −2.25810 + 2.09521i −0.126232 + 0.117126i
\(321\) 11.1015 + 6.42373i 0.619623 + 0.358538i
\(322\) −0.983819 + 5.54466i −0.0548261 + 0.308992i
\(323\) −4.50560 1.02837i −0.250698 0.0572202i
\(324\) 9.56024 + 12.0836i 0.531125 + 0.671311i
\(325\) 11.3319 6.54250i 0.628583 0.362912i
\(326\) −0.232003 + 0.250039i −0.0128494 + 0.0138484i
\(327\) −17.7818 + 16.4672i −0.983338 + 0.910639i
\(328\) 3.23638 + 21.4720i 0.178699 + 1.18559i
\(329\) −9.67497 + 7.31216i −0.533399 + 0.403132i
\(330\) 1.55980 + 1.95981i 0.0858643 + 0.107884i
\(331\) −4.61092 + 20.2018i −0.253439 + 1.11039i 0.674682 + 0.738109i \(0.264281\pi\)
−0.928121 + 0.372280i \(0.878576\pi\)
\(332\) 24.4909 + 3.69140i 1.34411 + 0.202592i
\(333\) −8.75828 + 15.1024i −0.479951 + 0.827604i
\(334\) −0.822543 5.45721i −0.0450075 0.298605i
\(335\) −0.983615 13.1254i −0.0537406 0.717119i
\(336\) −4.94309 + 9.59359i −0.269668 + 0.523373i
\(337\) −2.52916 + 33.7493i −0.137772 + 1.83844i 0.317699 + 0.948192i \(0.397090\pi\)
−0.455471 + 0.890250i \(0.650529\pi\)
\(338\) −9.57064 + 0.717220i −0.520574 + 0.0390116i
\(339\) 15.0182 + 8.69012i 0.815678 + 0.471983i
\(340\) 10.2835 7.01117i 0.557701 0.380234i
\(341\) −1.31514 3.35092i −0.0712187 0.181462i
\(342\) 1.37716 0.935040i 0.0744682 0.0505612i
\(343\) −13.5356 12.6407i −0.730855 0.682533i
\(344\) −6.26500 + 3.61710i −0.337786 + 0.195021i
\(345\) −1.65465 11.0503i −0.0890833 0.594926i
\(346\) 3.67427 7.62971i 0.197530 0.410176i
\(347\) 16.4638 3.75775i 0.883822 0.201727i 0.243563 0.969885i \(-0.421684\pi\)
0.640260 + 0.768159i \(0.278827\pi\)
\(348\) 1.74170 11.4802i 0.0933647 0.615402i
\(349\) 5.06461 7.42842i 0.271103 0.397634i −0.666410 0.745585i \(-0.732170\pi\)
0.937513 + 0.347951i \(0.113122\pi\)
\(350\) 2.39062 + 2.33677i 0.127784 + 0.124905i
\(351\) 28.7899 + 2.24138i 1.53669 + 0.119636i
\(352\) 8.59755 1.29587i 0.458251 0.0690702i
\(353\) −0.932960 + 12.4495i −0.0496564 + 0.662619i 0.915730 + 0.401795i \(0.131613\pi\)
−0.965386 + 0.260824i \(0.916006\pi\)
\(354\) 6.21407 4.94575i 0.330274 0.262864i
\(355\) 0.290173 + 0.940718i 0.0154008 + 0.0499281i
\(356\) 6.80758 + 17.3454i 0.360801 + 0.919306i
\(357\) 11.9905 16.6062i 0.634604 0.878892i
\(358\) 1.59241 4.05739i 0.0841614 0.214440i
\(359\) 24.6002 + 1.84353i 1.29835 + 0.0972976i 0.705900 0.708312i \(-0.250543\pi\)
0.592447 + 0.805610i \(0.298162\pi\)
\(360\) −1.46724 + 9.60859i −0.0773305 + 0.506417i
\(361\) −8.96546 15.5286i −0.471866 0.817297i
\(362\) −9.24750 −0.486038
\(363\) −1.05473 14.2591i −0.0553589 0.748409i
\(364\) 8.58409 + 23.6637i 0.449929 + 1.24032i
\(365\) 1.16597 3.77999i 0.0610298 0.197854i
\(366\) −7.01287 0.00677069i −0.366569 0.000353910i
\(367\) 2.25570 + 14.9656i 0.117746 + 0.781196i 0.967289 + 0.253676i \(0.0816398\pi\)
−0.849543 + 0.527520i \(0.823122\pi\)
\(368\) −8.69492 3.41250i −0.453254 0.177889i
\(369\) −23.9295 22.2895i −1.24572 1.16034i
\(370\) −4.95204 + 1.13027i −0.257444 + 0.0587600i
\(371\) −3.10662 5.71934i −0.161288 0.296934i
\(372\) 2.80100 5.80200i 0.145225 0.300820i
\(373\) 4.73780 + 8.20611i 0.245314 + 0.424896i 0.962220 0.272274i \(-0.0877756\pi\)
−0.716906 + 0.697170i \(0.754442\pi\)
\(374\) −3.97402 −0.205491
\(375\) −18.6584 9.00762i −0.963516 0.465151i
\(376\) 3.96171 + 8.22657i 0.204310 + 0.424253i
\(377\) −13.5681 17.0139i −0.698794 0.876260i
\(378\) 1.43311 + 7.23703i 0.0737111 + 0.372233i
\(379\) −5.70724 + 7.15665i −0.293161 + 0.367612i −0.906499 0.422208i \(-0.861255\pi\)
0.613338 + 0.789821i \(0.289826\pi\)
\(380\) −2.80697 0.640671i −0.143994 0.0328658i
\(381\) 13.3034 + 16.7150i 0.681553 + 0.856336i
\(382\) 2.16697 1.04356i 0.110872 0.0533931i
\(383\) −4.50450 + 11.4773i −0.230169 + 0.586461i −0.998567 0.0535109i \(-0.982959\pi\)
0.768398 + 0.639972i \(0.221054\pi\)
\(384\) 15.5772 + 12.4471i 0.794922 + 0.635186i
\(385\) −1.40522 6.98988i −0.0716165 0.356237i
\(386\) −2.46138 5.11110i −0.125281 0.260148i
\(387\) 3.99989 10.1340i 0.203326 0.515139i
\(388\) −19.9669 21.5192i −1.01367 1.09247i
\(389\) 10.8603 + 15.9291i 0.550638 + 0.807638i 0.996152 0.0876369i \(-0.0279315\pi\)
−0.445514 + 0.895275i \(0.646979\pi\)
\(390\) 5.23199 + 6.57372i 0.264932 + 0.332873i
\(391\) 15.3526 + 8.86381i 0.776413 + 0.448262i
\(392\) −11.3392 + 8.11542i −0.572716 + 0.409891i
\(393\) −22.8458 + 7.02285i −1.15242 + 0.354256i
\(394\) −5.49620 + 6.89202i −0.276895 + 0.347215i
\(395\) −1.88909 25.2082i −0.0950505 1.26836i
\(396\) −5.79994 + 6.22669i −0.291458 + 0.312903i
\(397\) 4.22350 + 6.19474i 0.211971 + 0.310905i 0.917469 0.397807i \(-0.130229\pi\)
−0.705497 + 0.708712i \(0.749276\pi\)
\(398\) 0.766586 + 0.522650i 0.0384255 + 0.0261981i
\(399\) −4.70263 + 0.579573i −0.235426 + 0.0290149i
\(400\) −4.58151 + 3.12362i −0.229076 + 0.156181i
\(401\) −28.5867 11.2194i −1.42755 0.560272i −0.479259 0.877673i \(-0.659095\pi\)
−0.948291 + 0.317401i \(0.897190\pi\)
\(402\) −7.33481 + 1.66667i −0.365827 + 0.0831261i
\(403\) −4.41132 11.2399i −0.219744 0.559898i
\(404\) 17.2470 + 16.0028i 0.858068 + 0.796171i
\(405\) −7.27020 12.7054i −0.361259 0.631337i
\(406\) 3.25029 4.51065i 0.161309 0.223860i
\(407\) −8.97514 3.52248i −0.444881 0.174603i
\(408\) −10.4784 11.3149i −0.518758 0.560172i
\(409\) −12.8769 2.93906i −0.636720 0.145327i −0.108037 0.994147i \(-0.534457\pi\)
−0.528682 + 0.848820i \(0.677314\pi\)
\(410\) 9.51461i 0.469893i
\(411\) −10.1784 + 10.9485i −0.502066 + 0.540051i
\(412\) −7.41493 24.0386i −0.365307 1.18430i
\(413\) −22.1632 + 4.45559i −1.09058 + 0.219245i
\(414\) −6.10520 + 1.87030i −0.300054 + 0.0919203i
\(415\) −22.4848 6.93564i −1.10374 0.340457i
\(416\) 28.8385 4.34670i 1.41392 0.213114i
\(417\) 24.2954 + 1.84428i 1.18975 + 0.0903147i
\(418\) 0.625285 + 0.673897i 0.0305837 + 0.0329614i
\(419\) −35.0596 10.8144i −1.71277 0.528320i −0.725619 0.688096i \(-0.758447\pi\)
−0.987153 + 0.159776i \(0.948923\pi\)
\(420\) 7.47002 10.3456i 0.364500 0.504812i
\(421\) −18.2791 + 5.63837i −0.890871 + 0.274797i −0.706208 0.708005i \(-0.749596\pi\)
−0.184663 + 0.982802i \(0.559119\pi\)
\(422\) 1.98626 + 1.14677i 0.0966897 + 0.0558238i
\(423\) −12.3778 5.99030i −0.601829 0.291259i
\(424\) −4.68269 + 1.44442i −0.227411 + 0.0701471i
\(425\) 9.48176 4.56617i 0.459933 0.221492i
\(426\) 0.507105 0.243606i 0.0245693 0.0118028i
\(427\) 17.7538 + 9.12593i 0.859165 + 0.441635i
\(428\) −11.8013 + 4.63168i −0.570438 + 0.223881i
\(429\) 1.17643 + 15.9044i 0.0567986 + 0.767873i
\(430\) 2.95068 1.15806i 0.142295 0.0558465i
\(431\) −15.8429 + 23.2372i −0.763125 + 1.11930i 0.226273 + 0.974064i \(0.427346\pi\)
−0.989397 + 0.145234i \(0.953606\pi\)
\(432\) −12.2371 0.0354437i −0.588759 0.00170529i
\(433\) −5.17396 + 10.7438i −0.248645 + 0.516316i −0.987514 0.157533i \(-0.949646\pi\)
0.738869 + 0.673849i \(0.235360\pi\)
\(434\) 2.46102 1.85999i 0.118133 0.0892825i
\(435\) −3.26176 + 10.5382i −0.156389 + 0.505269i
\(436\) −1.79018 23.8883i −0.0857341 1.14404i
\(437\) −0.912537 3.99808i −0.0436526 0.191254i
\(438\) −2.23500 0.339079i −0.106792 0.0162018i
\(439\) −29.6225 23.6232i −1.41381 1.12747i −0.973250 0.229748i \(-0.926210\pi\)
−0.440556 0.897725i \(-0.645219\pi\)
\(440\) −5.36804 −0.255911
\(441\) 5.77009 20.1917i 0.274766 0.961511i
\(442\) −13.3299 −0.634039
\(443\) −5.89159 4.69839i −0.279918 0.223227i 0.473459 0.880816i \(-0.343005\pi\)
−0.753377 + 0.657589i \(0.771577\pi\)
\(444\) −6.28892 16.0695i −0.298459 0.762625i
\(445\) −3.93920 17.2588i −0.186736 0.818145i
\(446\) −0.260780 3.47987i −0.0123483 0.164777i
\(447\) −14.7465 15.9237i −0.697484 0.753166i
\(448\) −2.05596 4.56958i −0.0971352 0.215892i
\(449\) −7.82375 + 16.2462i −0.369225 + 0.766705i −0.999957 0.00929676i \(-0.997041\pi\)
0.630731 + 0.776001i \(0.282755\pi\)
\(450\) −1.12429 + 3.62002i −0.0529995 + 0.170649i
\(451\) 10.1738 14.9223i 0.479068 0.702663i
\(452\) −15.9650 + 6.26580i −0.750931 + 0.294719i
\(453\) 2.99662 2.03882i 0.140793 0.0957923i
\(454\) 10.7205 4.20749i 0.503139 0.197467i
\(455\) −4.71347 23.4459i −0.220971 1.09916i
\(456\) −0.270030 + 3.55721i −0.0126453 + 0.166582i
\(457\) 30.0422 14.4676i 1.40532 0.676765i 0.431085 0.902312i \(-0.358131\pi\)
0.974232 + 0.225546i \(0.0724168\pi\)
\(458\) −6.06746 + 1.87156i −0.283514 + 0.0874524i
\(459\) 22.9556 + 3.52802i 1.07147 + 0.164674i
\(460\) 9.56458 + 5.52211i 0.445951 + 0.257470i
\(461\) 10.8608 3.35011i 0.505837 0.156030i −0.0313247 0.999509i \(-0.509973\pi\)
0.537162 + 0.843479i \(0.319496\pi\)
\(462\) −3.83152 + 1.38571i −0.178259 + 0.0644692i
\(463\) −25.3448 7.81783i −1.17787 0.363326i −0.356817 0.934174i \(-0.616138\pi\)
−0.821055 + 0.570849i \(0.806614\pi\)
\(464\) 6.27248 + 6.76013i 0.291193 + 0.313831i
\(465\) −3.45289 + 5.05397i −0.160124 + 0.234372i
\(466\) −10.4113 + 1.56925i −0.482294 + 0.0726942i
\(467\) 31.0918 + 9.59054i 1.43876 + 0.443797i 0.913392 0.407081i \(-0.133453\pi\)
0.525363 + 0.850878i \(0.323930\pi\)
\(468\) −19.4545 + 20.8860i −0.899286 + 0.965454i
\(469\) 20.7428 + 5.30550i 0.957811 + 0.244985i
\(470\) −1.17927 3.82309i −0.0543955 0.176346i
\(471\) 12.9816 + 2.97616i 0.598162 + 0.137134i
\(472\) 17.0207i 0.783443i
\(473\) 5.86601 + 1.33888i 0.269720 + 0.0615617i
\(474\) −14.0869 + 3.20095i −0.647034 + 0.147024i
\(475\) −2.26620 0.889419i −0.103981 0.0408094i
\(476\) 5.46241 + 19.4949i 0.250369 + 0.893547i
\(477\) 4.16911 6.08966i 0.190890 0.278826i
\(478\) 6.59258 + 6.11702i 0.301538 + 0.279786i
\(479\) 7.95293 + 20.2637i 0.363379 + 0.925874i 0.989288 + 0.145978i \(0.0466328\pi\)
−0.625909 + 0.779896i \(0.715272\pi\)
\(480\) −10.0452 10.8472i −0.458499 0.495103i
\(481\) −30.1050 11.8153i −1.37267 0.538733i
\(482\) −2.70407 + 1.84361i −0.123167 + 0.0839740i
\(483\) 17.8928 + 3.19264i 0.814152 + 0.145270i
\(484\) 11.6770 + 7.96123i 0.530772 + 0.361874i
\(485\) 15.7105 + 23.0431i 0.713377 + 1.04633i
\(486\) −6.56541 + 5.18409i −0.297813 + 0.235155i
\(487\) 1.98747 + 26.5210i 0.0900610 + 1.20178i 0.840861 + 0.541251i \(0.182049\pi\)
−0.750800 + 0.660530i \(0.770332\pi\)
\(488\) 9.37077 11.7506i 0.424195 0.531923i
\(489\) 0.806302 + 0.749589i 0.0364622 + 0.0338976i
\(490\) 5.44298 2.77569i 0.245889 0.125393i
\(491\) −10.0118 5.78034i −0.451828 0.260863i 0.256774 0.966472i \(-0.417340\pi\)
−0.708602 + 0.705608i \(0.750674\pi\)
\(492\) 31.9677 4.78680i 1.44122 0.215806i
\(493\) −9.85942 14.4611i −0.444046 0.651296i
\(494\) 2.09737 + 2.26043i 0.0943652 + 0.101701i
\(495\) 6.33032 5.02830i 0.284527 0.226005i
\(496\) 2.22011 + 4.61010i 0.0996857 + 0.206999i
\(497\) −1.60083 0.0416439i −0.0718072 0.00186799i
\(498\) −2.01697 + 13.2946i −0.0903824 + 0.595745i
\(499\) −6.00220 + 15.2934i −0.268695 + 0.684625i 0.731301 + 0.682055i \(0.238913\pi\)
−0.999997 + 0.00257017i \(0.999182\pi\)
\(500\) 18.4512 8.88563i 0.825163 0.397378i
\(501\) −17.6162 + 2.63783i −0.787034 + 0.117849i
\(502\) 1.24878 + 0.285026i 0.0557357 + 0.0127213i
\(503\) 1.15027 1.44240i 0.0512881 0.0643133i −0.755526 0.655119i \(-0.772619\pi\)
0.806814 + 0.590806i \(0.201190\pi\)
\(504\) −14.0481 7.25546i −0.625753 0.323184i
\(505\) −13.9364 17.4757i −0.620161 0.777657i
\(506\) −1.53004 3.17716i −0.0680186 0.141242i
\(507\) 2.28507 + 30.8923i 0.101484 + 1.37198i
\(508\) −21.1158 −0.936861
\(509\) 15.4965 + 26.8407i 0.686870 + 1.18969i 0.972845 + 0.231457i \(0.0743492\pi\)
−0.285975 + 0.958237i \(0.592317\pi\)
\(510\) 3.80110 + 5.58677i 0.168315 + 0.247386i
\(511\) 5.22049 + 3.76180i 0.230941 + 0.166412i
\(512\) −21.1964 + 4.83793i −0.936756 + 0.213808i
\(513\) −3.01364 4.44782i −0.133055 0.196376i
\(514\) −6.81742 2.67564i −0.300703 0.118017i
\(515\) 3.56203 + 23.6326i 0.156962 + 1.04137i
\(516\) 5.37539 + 9.33125i 0.236639 + 0.410785i
\(517\) 2.23847 7.25693i 0.0984477 0.319160i
\(518\) 0.831511 8.22051i 0.0365345 0.361188i
\(519\) −24.6141 11.8828i −1.08044 0.521598i
\(520\) −18.0058 −0.789609
\(521\) 10.9438 + 18.9552i 0.479457 + 0.830444i 0.999722 0.0235604i \(-0.00750020\pi\)
−0.520265 + 0.854005i \(0.674167\pi\)
\(522\) 6.23188 + 0.951615i 0.272762 + 0.0416510i
\(523\) 17.3698 + 1.30168i 0.759527 + 0.0569187i 0.448862 0.893601i \(-0.351829\pi\)
0.310665 + 0.950520i \(0.399448\pi\)
\(524\) 8.63098 21.9914i 0.377046 0.960698i
\(525\) 7.54958 7.70867i 0.329491 0.336434i
\(526\) 2.35663 + 6.00460i 0.102754 + 0.261813i
\(527\) −2.86245 9.27983i −0.124690 0.404236i
\(528\) −1.00081 6.68371i −0.0435546 0.290871i
\(529\) 0.543229 7.24889i 0.0236187 0.315169i
\(530\) 2.12322 0.320024i 0.0922267 0.0139009i
\(531\) −15.9435 20.0719i −0.691888 0.871046i
\(532\) 2.44639 3.99368i 0.106064 0.173148i
\(533\) 34.1258 50.0533i 1.47815 2.16805i
\(534\) −9.42071 + 3.68686i −0.407674 + 0.159546i
\(535\) 11.7424 2.68012i 0.507666 0.115872i
\(536\) 6.99429 14.5238i 0.302107 0.627332i
\(537\) −13.0906 5.15228i −0.564902 0.222337i
\(538\) −2.63385 + 1.52066i −0.113553 + 0.0655601i
\(539\) 11.5045 + 1.46683i 0.495535 + 0.0631808i
\(540\) 14.3012 + 2.19794i 0.615426 + 0.0945843i
\(541\) −0.809022 2.06136i −0.0347826 0.0886246i 0.912427 0.409239i \(-0.134206\pi\)
−0.947210 + 0.320615i \(0.896111\pi\)
\(542\) −5.13210 + 3.49901i −0.220443 + 0.150295i
\(543\) −0.0288164 + 29.8472i −0.00123663 + 1.28086i
\(544\) 23.3905 1.75288i 1.00286 0.0751539i
\(545\) −1.70075 + 22.6949i −0.0728520 + 0.972143i
\(546\) −12.8519 + 4.64805i −0.550012 + 0.198918i
\(547\) −0.356402 4.75586i −0.0152387 0.203346i −0.999626 0.0273323i \(-0.991299\pi\)
0.984388 0.176014i \(-0.0563203\pi\)
\(548\) −2.20226 14.6110i −0.0940758 0.624152i
\(549\) −0.0437061 + 22.6347i −0.00186533 + 0.966024i
\(550\) −2.07005 0.312009i −0.0882671 0.0133041i
\(551\) −0.900940 + 3.94728i −0.0383813 + 0.168160i
\(552\) 5.01179 12.7337i 0.213316 0.541981i
\(553\) 39.8377 + 10.1895i 1.69407 + 0.433303i
\(554\) 1.35077 + 8.96175i 0.0573886 + 0.380748i
\(555\) 3.63262 + 15.9867i 0.154196 + 0.678597i
\(556\) −16.3809 + 17.6545i −0.694707 + 0.748716i
\(557\) −32.3028 + 18.6500i −1.36871 + 0.790227i −0.990764 0.135600i \(-0.956704\pi\)
−0.377949 + 0.925826i \(0.623371\pi\)
\(558\) 3.14854 + 1.52375i 0.133288 + 0.0645056i
\(559\) 19.6762 + 4.49096i 0.832213 + 0.189947i
\(560\) 2.73433 + 9.75861i 0.115547 + 0.412377i
\(561\) −0.0123836 + 12.8265i −0.000522834 + 0.541535i
\(562\) 7.63735 7.08642i 0.322162 0.298923i
\(563\) 23.0892 + 28.9529i 0.973092 + 1.22022i 0.975450 + 0.220222i \(0.0706782\pi\)
−0.00235726 + 0.999997i \(0.500750\pi\)
\(564\) 12.2517 5.88556i 0.515891 0.247827i
\(565\) 15.8852 3.62570i 0.668297 0.152534i
\(566\) 2.46694 + 10.8084i 0.103693 + 0.454310i
\(567\) 23.3626 4.60293i 0.981139 0.193305i
\(568\) −0.268292 + 1.17546i −0.0112573 + 0.0493213i
\(569\) 32.9678i 1.38208i −0.722815 0.691041i \(-0.757152\pi\)
0.722815 0.691041i \(-0.242848\pi\)
\(570\) 0.349303 1.52361i 0.0146307 0.0638172i
\(571\) 7.50616 32.8866i 0.314123 1.37626i −0.533561 0.845762i \(-0.679146\pi\)
0.847684 0.530502i \(-0.177996\pi\)
\(572\) −13.0244 8.87986i −0.544576 0.371285i
\(573\) −3.36143 6.99735i −0.140426 0.292318i
\(574\) 14.6658 + 4.94500i 0.612140 + 0.206400i
\(575\) 7.30116 + 5.82248i 0.304480 + 0.242814i
\(576\) 3.55106 4.43529i 0.147961 0.184804i
\(577\) −3.31904 + 22.0204i −0.138173 + 0.916721i 0.807094 + 0.590423i \(0.201039\pi\)
−0.945267 + 0.326297i \(0.894199\pi\)
\(578\) −1.59361 0.119424i −0.0662854 0.00496740i
\(579\) −16.5042 + 7.92838i −0.685891 + 0.329492i
\(580\) −6.14237 9.00921i −0.255048 0.374087i
\(581\) 22.3766 31.0534i 0.928336 1.28831i
\(582\) 11.6936 10.8291i 0.484716 0.448881i
\(583\) 3.67216 + 1.76842i 0.152085 + 0.0732404i
\(584\) 3.55142 3.29524i 0.146959 0.136358i
\(585\) 21.2336 16.8662i 0.877901 0.697333i
\(586\) 7.47121 2.93223i 0.308633 0.121129i
\(587\) −6.46614 11.1997i −0.266886 0.462260i 0.701170 0.712994i \(-0.252661\pi\)
−0.968056 + 0.250734i \(0.919328\pi\)
\(588\) 12.0643 + 16.8912i 0.497523 + 0.696580i
\(589\) −1.12325 + 1.94552i −0.0462826 + 0.0801638i
\(590\) 1.11155 7.37466i 0.0457618 0.303610i
\(591\) 22.2275 + 17.7610i 0.914317 + 0.730589i
\(592\) 13.0961 + 4.03961i 0.538246 + 0.166027i
\(593\) −22.3846 + 15.2616i −0.919226 + 0.626718i −0.927732 0.373246i \(-0.878245\pi\)
0.00850650 + 0.999964i \(0.497292\pi\)
\(594\) −3.37754 3.15215i −0.138582 0.129334i
\(595\) −2.37115 19.0876i −0.0972076 0.782514i
\(596\) 21.3921 1.60311i 0.876253 0.0656661i
\(597\) 1.68929 2.47260i 0.0691380 0.101197i
\(598\) −5.13216 10.6570i −0.209870 0.435799i
\(599\) −2.12894 1.69777i −0.0869862 0.0693691i 0.579031 0.815305i \(-0.303431\pi\)
−0.666017 + 0.745936i \(0.732002\pi\)
\(600\) −4.56979 6.71657i −0.186561 0.274203i
\(601\) 4.81230 31.9275i 0.196298 1.30235i −0.645999 0.763338i \(-0.723559\pi\)
0.842297 0.539014i \(-0.181203\pi\)
\(602\) 0.251480 + 5.15006i 0.0102496 + 0.209901i
\(603\) 5.35648 + 23.6789i 0.218133 + 0.964281i
\(604\) −0.267722 + 3.57250i −0.0108934 + 0.145363i
\(605\) −9.84244 9.13245i −0.400152 0.371287i
\(606\) −8.69726 + 9.35529i −0.353302 + 0.380033i
\(607\) 20.3106 11.7264i 0.824384 0.475958i −0.0275422 0.999621i \(-0.508768\pi\)
0.851926 + 0.523663i \(0.175435\pi\)
\(608\) −3.97758 3.69066i −0.161312 0.149676i
\(609\) −14.5484 10.5047i −0.589531 0.425671i
\(610\) −4.82750 + 4.47926i −0.195460 + 0.181360i
\(611\) 7.50842 24.3417i 0.303758 0.984759i
\(612\) −16.8584 + 15.5818i −0.681461 + 0.629859i
\(613\) −9.33217 + 23.7780i −0.376923 + 0.960384i 0.608998 + 0.793172i \(0.291572\pi\)
−0.985921 + 0.167212i \(0.946524\pi\)
\(614\) −1.92138 8.41810i −0.0775405 0.339727i
\(615\) −30.7093 0.0296488i −1.23832 0.00119555i
\(616\) 2.78992 8.27430i 0.112409 0.333381i
\(617\) −4.95791 + 5.34335i −0.199598 + 0.215115i −0.824917 0.565254i \(-0.808778\pi\)
0.625319 + 0.780369i \(0.284969\pi\)
\(618\) 13.0549 4.01309i 0.525144 0.161430i
\(619\) 15.5766 + 8.99314i 0.626075 + 0.361465i 0.779230 0.626738i \(-0.215610\pi\)
−0.153155 + 0.988202i \(0.548943\pi\)
\(620\) −1.78329 5.78129i −0.0716187 0.232182i
\(621\) 6.01755 + 19.7109i 0.241476 + 0.790972i
\(622\) −9.67208 + 7.71323i −0.387815 + 0.309272i
\(623\) 28.6500 + 2.89797i 1.14784 + 0.116105i
\(624\) −3.35698 22.4189i −0.134387 0.897476i
\(625\) −7.34220 + 2.26477i −0.293688 + 0.0905908i
\(626\) 6.95218 8.71776i 0.277865 0.348432i
\(627\) 2.17701 2.01606i 0.0869415 0.0805138i
\(628\) −10.2923 + 8.20786i −0.410708 + 0.327529i
\(629\) −23.4349 11.2857i −0.934411 0.449989i
\(630\) 5.61287 + 4.06103i 0.223622 + 0.161795i
\(631\) −42.5786 + 20.5048i −1.69503 + 0.816283i −0.700288 + 0.713861i \(0.746945\pi\)
−0.994741 + 0.102422i \(0.967341\pi\)
\(632\) 13.4330 27.8938i 0.534334 1.10956i
\(633\) 3.70749 6.40726i 0.147359 0.254666i
\(634\) 10.8625 + 5.23112i 0.431406 + 0.207754i
\(635\) 19.8368 + 2.98992i 0.787201 + 0.118651i
\(636\) 2.14342 + 6.97270i 0.0849923 + 0.276486i
\(637\) 38.5892 + 4.92013i 1.52896 + 0.194943i
\(638\) 3.48157i 0.137837i
\(639\) −0.784681 1.63749i −0.0310415 0.0647780i
\(640\) 18.6718 1.39926i 0.738069 0.0553106i
\(641\) 7.17479 23.2601i 0.283387 0.918719i −0.696226 0.717823i \(-0.745139\pi\)
0.979613 0.200895i \(-0.0643851\pi\)
\(642\) −2.50843 6.40957i −0.0989999 0.252966i
\(643\) −4.30489 0.322607i −0.169768 0.0127224i −0.0104254 0.999946i \(-0.503319\pi\)
−0.159343 + 0.987223i \(0.550938\pi\)
\(644\) −13.4828 + 11.8729i −0.531295 + 0.467856i
\(645\) −3.72854 9.52721i −0.146811 0.375133i
\(646\) 1.54629 + 1.93899i 0.0608380 + 0.0762884i
\(647\) −27.8354 18.9779i −1.09432 0.746097i −0.125067 0.992148i \(-0.539915\pi\)
−0.969257 + 0.246051i \(0.920867\pi\)
\(648\) 0.0692358 17.9280i 0.00271984 0.704278i
\(649\) 9.62893 10.3775i 0.377968 0.407353i
\(650\) −6.94349 1.04656i −0.272346 0.0410495i
\(651\) −5.99562 7.94897i −0.234987 0.311545i
\(652\) −1.07602 + 0.162185i −0.0421404 + 0.00635164i
\(653\) −14.2024 + 20.8311i −0.555782 + 0.815183i −0.996598 0.0824148i \(-0.973737\pi\)
0.440816 + 0.897598i \(0.354689\pi\)
\(654\) 12.9703 0.959399i 0.507179 0.0375155i
\(655\) −11.2221 + 19.4373i −0.438484 + 0.759477i
\(656\) −12.8359 + 22.2325i −0.501158 + 0.868032i
\(657\) −1.10137 + 7.21260i −0.0429686 + 0.281390i
\(658\) 6.50581 + 0.169241i 0.253623 + 0.00659772i
\(659\) 16.4982 + 17.7809i 0.642680 + 0.692644i 0.967425 0.253158i \(-0.0814691\pi\)
−0.324746 + 0.945801i \(0.605279\pi\)
\(660\) −0.00771490 + 7.99085i −0.000300302 + 0.311043i
\(661\) −32.5748 + 25.9776i −1.26701 + 1.01041i −0.268120 + 0.963385i \(0.586402\pi\)
−0.998894 + 0.0470245i \(0.985026\pi\)
\(662\) 8.69384 6.93311i 0.337896 0.269463i
\(663\) −0.0415377 + 43.0235i −0.00161319 + 1.67089i
\(664\) −19.6013 21.1252i −0.760678 0.819816i
\(665\) −2.86370 + 3.40539i −0.111050 + 0.132055i
\(666\) 8.72771 3.40594i 0.338192 0.131978i
\(667\) 7.76544 13.4501i 0.300679 0.520791i
\(668\) 8.80330 15.2478i 0.340610 0.589954i
\(669\) −11.2324 + 0.830848i −0.434270 + 0.0321225i
\(670\) −3.97894 + 5.83603i −0.153720 + 0.225465i
\(671\) −12.3608 + 1.86310i −0.477185 + 0.0719240i
\(672\) 21.9406 9.84614i 0.846376 0.379823i
\(673\) −45.7013 6.88836i −1.76166 0.265527i −0.813097 0.582128i \(-0.802220\pi\)
−0.948559 + 0.316601i \(0.897458\pi\)
\(674\) 12.3533 13.3137i 0.475830 0.512823i
\(675\) 11.6804 + 3.64002i 0.449581 + 0.140105i
\(676\) −25.2982 17.2480i −0.973007 0.663385i
\(677\) −4.35279 5.45822i −0.167291 0.209777i 0.691118 0.722742i \(-0.257118\pi\)
−0.858409 + 0.512965i \(0.828547\pi\)
\(678\) −3.39345 8.67097i −0.130324 0.333006i
\(679\) −43.6837 + 12.2400i −1.67643 + 0.469730i
\(680\) −14.4412 1.08222i −0.553794 0.0415012i
\(681\) −13.5467 34.6145i −0.519109 1.32643i
\(682\) −0.569399 + 1.84595i −0.0218034 + 0.0706849i
\(683\) 16.6996 1.25146i 0.638992 0.0478858i 0.248705 0.968579i \(-0.419995\pi\)
0.390287 + 0.920693i \(0.372376\pi\)
\(684\) 5.29486 + 0.407078i 0.202454 + 0.0155650i
\(685\) 14.0379i 0.536360i
\(686\) 1.44959 + 9.83241i 0.0553456 + 0.375403i
\(687\) 6.02173 + 19.5891i 0.229743 + 0.747371i
\(688\) −8.45706 1.27470i −0.322423 0.0485974i
\(689\) 12.3174 + 5.93174i 0.469255 + 0.225981i
\(690\) −3.00307 + 5.18988i −0.114325 + 0.197576i
\(691\) 11.5738 24.0333i 0.440289 0.914269i −0.556240 0.831022i \(-0.687756\pi\)
0.996529 0.0832476i \(-0.0265292\pi\)
\(692\) 24.3408 11.7219i 0.925298 0.445600i
\(693\) 4.46058 + 12.3709i 0.169443 + 0.469932i
\(694\) −8.16486 3.93199i −0.309934 0.149256i
\(695\) 17.8886 14.2657i 0.678553 0.541128i
\(696\) −9.91281 + 9.17995i −0.375744 + 0.347965i
\(697\) 30.3782 38.0931i 1.15066 1.44288i
\(698\) −4.61038 + 1.42211i −0.174505 + 0.0538278i
\(699\) 5.03246 + 33.6083i 0.190345 + 1.27118i
\(700\) 1.31475 + 10.5837i 0.0496930 + 0.400025i
\(701\) 16.5660 13.2110i 0.625690 0.498971i −0.258554 0.965997i \(-0.583246\pi\)
0.884244 + 0.467026i \(0.154674\pi\)
\(702\) −11.3292 10.5732i −0.427592 0.399058i
\(703\) 1.77355 + 5.74971i 0.0668908 + 0.216855i
\(704\) 2.71744 + 1.56892i 0.102417 + 0.0591308i
\(705\) −12.3430 + 3.79428i −0.464866 + 0.142901i
\(706\) 4.55689 4.91116i 0.171501 0.184834i
\(707\) 34.1801 12.3990i 1.28548 0.466311i
\(708\) 25.3370 + 0.0244620i 0.952223 + 0.000919340i
\(709\) −7.68331 33.6628i −0.288553 1.26423i −0.886512 0.462706i \(-0.846879\pi\)
0.597959 0.801527i \(-0.295979\pi\)
\(710\) 0.193008 0.491777i 0.00724347 0.0184561i
\(711\) 10.2874 + 45.4768i 0.385809 + 1.70551i
\(712\) 6.39057 20.7177i 0.239497 0.776429i
\(713\) 6.31700 5.86132i 0.236573 0.219508i
\(714\) −10.5870 + 2.95542i −0.396208 + 0.110604i
\(715\) 10.9781 + 10.1862i 0.410559 + 0.380943i
\(716\) 12.0424 6.95268i 0.450046 0.259834i
\(717\) 19.7638 21.2591i 0.738092 0.793935i
\(718\) −9.70444 9.00441i −0.362167 0.336041i
\(719\) −1.23040 + 16.4185i −0.0458862 + 0.612308i 0.926101 + 0.377275i \(0.123139\pi\)
−0.971987 + 0.235033i \(0.924480\pi\)
\(720\) −8.43886 + 7.79985i −0.314498 + 0.290683i
\(721\) −38.2785 6.79196i −1.42557 0.252946i
\(722\) −1.43415 + 9.51495i −0.0533735 + 0.354110i
\(723\) 5.94198 + 8.73339i 0.220985 + 0.324798i
\(724\) −23.0656 18.3942i −0.857225 0.683614i
\(725\) −4.00035 8.30681i −0.148569 0.308507i
\(726\) −4.32841 + 6.33546i −0.160642 + 0.235131i
\(727\) 24.3288 1.82319i 0.902305 0.0676184i 0.384508 0.923122i \(-0.374371\pi\)
0.517797 + 0.855503i \(0.326752\pi\)
\(728\) 9.35813 27.7542i 0.346835 1.02864i
\(729\) 16.7117 + 21.2066i 0.618950 + 0.785430i
\(730\) −1.75394 + 1.19582i −0.0649162 + 0.0442591i
\(731\) 15.5109 + 4.78448i 0.573692 + 0.176960i
\(732\) −17.4784 13.9662i −0.646019 0.516205i
\(733\) 4.00936 26.6004i 0.148089 0.982508i −0.784126 0.620602i \(-0.786888\pi\)
0.932215 0.361905i \(-0.117874\pi\)
\(734\) 4.06091 7.03370i 0.149891 0.259619i
\(735\) −8.94184 17.5763i −0.329825 0.648313i
\(736\) 10.4070 + 18.0254i 0.383607 + 0.664427i
\(737\) −12.4808 + 4.89834i −0.459735 + 0.180433i
\(738\) 2.58208 + 17.3583i 0.0950477 + 0.638969i
\(739\) 17.9328 16.6393i 0.659670 0.612085i −0.277596 0.960698i \(-0.589538\pi\)
0.937267 + 0.348613i \(0.113347\pi\)
\(740\) −14.5998 7.03091i −0.536701 0.258462i
\(741\) 7.30227 6.76241i 0.268256 0.248423i
\(742\) −0.610210 + 3.43905i −0.0224015 + 0.126252i
\(743\) −18.8089 27.5875i −0.690030 1.01209i −0.998154 0.0607419i \(-0.980653\pi\)
0.308123 0.951346i \(-0.400299\pi\)
\(744\) −6.75717 + 3.24605i −0.247730 + 0.119006i
\(745\) −20.3234 1.52303i −0.744591 0.0557994i
\(746\) 0.757876 5.02818i 0.0277478 0.184095i
\(747\) 42.9032 + 6.55137i 1.56975 + 0.239702i
\(748\) −9.91218 7.90470i −0.362425 0.289025i
\(749\) −1.97169 + 19.4926i −0.0720440 + 0.712244i
\(750\) 4.81449 + 10.0221i 0.175800 + 0.365957i
\(751\) −20.8578 14.2206i −0.761111 0.518916i 0.119456 0.992840i \(-0.461885\pi\)
−0.880566 + 0.473923i \(0.842837\pi\)
\(752\) −2.40208 + 10.5242i −0.0875948 + 0.383778i
\(753\) 0.923837 4.02966i 0.0336665 0.146849i
\(754\) 11.6781i 0.425292i
\(755\) 0.757359 3.31821i 0.0275631 0.120762i
\(756\) −10.8206 + 20.9015i −0.393543 + 0.760182i
\(757\) 3.96282 + 17.3622i 0.144031 + 0.631041i 0.994475 + 0.104975i \(0.0334763\pi\)
−0.850444 + 0.526066i \(0.823667\pi\)
\(758\) 4.78907 1.09307i 0.173947 0.0397022i
\(759\) −10.2593 + 4.92844i −0.372391 + 0.178891i
\(760\) 2.08871 + 2.61916i 0.0757654 + 0.0950068i
\(761\) −1.49479 + 1.38696i −0.0541862 + 0.0502774i −0.706801 0.707412i \(-0.749862\pi\)
0.652615 + 0.757690i \(0.273672\pi\)
\(762\) 0.0110682 11.4641i 0.000400960 0.415302i
\(763\) −34.0980 14.4167i −1.23443 0.521919i
\(764\) 7.48070 + 1.70742i 0.270642 + 0.0617723i
\(765\) 18.0436 12.2510i 0.652369 0.442935i
\(766\) 5.73008 3.30826i 0.207036 0.119532i
\(767\) 32.2980 34.8089i 1.16621 1.25688i
\(768\) −0.917246 4.03668i −0.0330983 0.145661i
\(769\) −1.28569 8.52997i −0.0463630 0.307599i −0.999978 0.00657090i \(-0.997908\pi\)
0.953615 0.301028i \(-0.0973297\pi\)
\(770\) −1.74916 + 3.40285i −0.0630354 + 0.122630i
\(771\) −8.65711 + 21.9955i −0.311778 + 0.792149i
\(772\) 4.02719 17.6443i 0.144942 0.635031i