Properties

Label 403.2.bs.a.4.12
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bs (of order \(30\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.12
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.254380 + 1.19677i) q^{2} +(-1.60706 - 1.78482i) q^{3} +(0.459552 + 0.204606i) q^{4} +0.244018i q^{5} +(2.54482 - 1.46925i) q^{6} +(-0.0246816 + 0.0554357i) q^{7} +(-1.80008 + 2.47760i) q^{8} +(-0.289361 + 2.75309i) q^{9} +O(q^{10})\) \(q+(-0.254380 + 1.19677i) q^{2} +(-1.60706 - 1.78482i) q^{3} +(0.459552 + 0.204606i) q^{4} +0.244018i q^{5} +(2.54482 - 1.46925i) q^{6} +(-0.0246816 + 0.0554357i) q^{7} +(-1.80008 + 2.47760i) q^{8} +(-0.289361 + 2.75309i) q^{9} +(-0.292033 - 0.0620735i) q^{10} +(0.706812 - 0.0742889i) q^{11} +(-0.373344 - 1.14903i) q^{12} +(3.31073 + 1.42797i) q^{13} +(-0.0600651 - 0.0436398i) q^{14} +(0.435530 - 0.392153i) q^{15} +(-1.83400 - 2.03686i) q^{16} +(0.244382 - 2.32514i) q^{17} +(-3.22119 - 1.04663i) q^{18} +(5.00196 + 4.50379i) q^{19} +(-0.0499276 + 0.112139i) q^{20} +(0.138608 - 0.0450365i) q^{21} +(-0.0908927 + 0.864786i) q^{22} +(5.12835 - 2.28329i) q^{23} +(7.31492 - 0.768829i) q^{24} +4.94046 q^{25} +(-2.55113 + 3.59891i) q^{26} +(-0.450292 + 0.327157i) q^{27} +(-0.0226850 + 0.0204256i) q^{28} +(4.00706 + 0.851726i) q^{29} +(0.358525 + 0.620983i) q^{30} +(-5.02847 + 2.39049i) q^{31} +(-2.40019 + 1.38575i) q^{32} +(-1.26848 - 1.14215i) q^{33} +(2.72049 + 0.883939i) q^{34} +(-0.0135273 - 0.00602276i) q^{35} +(-0.696274 + 1.20598i) q^{36} +(5.20056 + 3.00255i) q^{37} +(-6.66238 + 4.84050i) q^{38} +(-2.77187 - 8.20390i) q^{39} +(-0.604579 - 0.439252i) q^{40} +(-1.88013 + 8.84531i) q^{41} +(0.0186389 + 0.177338i) q^{42} +(4.79029 - 5.32015i) q^{43} +(0.340017 + 0.110478i) q^{44} +(-0.671804 - 0.0706094i) q^{45} +(1.42801 + 6.71826i) q^{46} +(-2.18159 - 0.708843i) q^{47} +(-0.688088 + 6.54672i) q^{48} +(4.68145 + 5.19928i) q^{49} +(-1.25675 + 5.91257i) q^{50} +(-4.54271 + 3.30047i) q^{51} +(1.22928 + 1.33362i) q^{52} +(-8.70306 - 6.32314i) q^{53} +(-0.276984 - 0.622117i) q^{54} +(0.0181279 + 0.172475i) q^{55} +(-0.0929186 - 0.160940i) q^{56} -16.1655i q^{57} +(-2.03863 + 4.57885i) q^{58} +(-2.52511 - 11.8797i) q^{59} +(0.280386 - 0.0911028i) q^{60} +(3.98001 + 6.89358i) q^{61} +(-1.58171 - 6.62600i) q^{62} +(-0.145478 - 0.0839915i) q^{63} +(-2.74180 - 8.43841i) q^{64} +(-0.348451 + 0.807878i) q^{65} +(1.68956 - 1.22754i) q^{66} +(-9.70526 - 5.60334i) q^{67} +(0.588044 - 1.01852i) q^{68} +(-12.3169 - 5.48382i) q^{69} +(0.0106489 - 0.0146570i) q^{70} +(3.67124 + 0.385862i) q^{71} +(-6.30017 - 5.67270i) q^{72} +(-0.320173 - 0.440680i) q^{73} +(-4.91626 + 5.46006i) q^{74} +(-7.93962 - 8.81785i) q^{75} +(1.37716 + 3.09316i) q^{76} +(-0.0133270 + 0.0410162i) q^{77} +(10.5233 - 1.23036i) q^{78} +(-5.61945 - 4.08277i) q^{79} +(0.497031 - 0.447529i) q^{80} +(9.43084 + 2.00459i) q^{81} +(-10.1075 - 4.50015i) q^{82} +(-3.70139 + 1.20265i) q^{83} +(0.0729123 + 0.00766339i) q^{84} +(0.567378 + 0.0596338i) q^{85} +(5.14842 + 7.08619i) q^{86} +(-4.91941 - 8.52067i) q^{87} +(-1.08826 + 1.88492i) q^{88} +(2.83103 - 0.297553i) q^{89} +(0.255397 - 0.786030i) q^{90} +(-0.160875 + 0.148288i) q^{91} +2.82392 q^{92} +(12.3477 + 5.13328i) q^{93} +(1.40327 - 2.43054i) q^{94} +(-1.09901 + 1.22057i) q^{95} +(6.33059 + 2.05693i) q^{96} +(-1.78574 + 4.01083i) q^{97} +(-7.41319 + 4.28000i) q^{98} +1.96741i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.254380 + 1.19677i −0.179874 + 0.846241i 0.791960 + 0.610573i \(0.209061\pi\)
−0.971834 + 0.235668i \(0.924272\pi\)
\(3\) −1.60706 1.78482i −0.927839 1.03047i −0.999454 0.0330368i \(-0.989482\pi\)
0.0716156 0.997432i \(-0.477185\pi\)
\(4\) 0.459552 + 0.204606i 0.229776 + 0.102303i
\(5\) 0.244018i 0.109128i 0.998510 + 0.0545642i \(0.0173769\pi\)
−0.998510 + 0.0545642i \(0.982623\pi\)
\(6\) 2.54482 1.46925i 1.03892 0.599820i
\(7\) −0.0246816 + 0.0554357i −0.00932876 + 0.0209527i −0.918150 0.396234i \(-0.870317\pi\)
0.908821 + 0.417186i \(0.136984\pi\)
\(8\) −1.80008 + 2.47760i −0.636424 + 0.875963i
\(9\) −0.289361 + 2.75309i −0.0964537 + 0.917696i
\(10\) −0.292033 0.0620735i −0.0923489 0.0196294i
\(11\) 0.706812 0.0742889i 0.213112 0.0223990i 0.00262918 0.999997i \(-0.499163\pi\)
0.210483 + 0.977598i \(0.432496\pi\)
\(12\) −0.373344 1.14903i −0.107775 0.331698i
\(13\) 3.31073 + 1.42797i 0.918230 + 0.396048i
\(14\) −0.0600651 0.0436398i −0.0160531 0.0116632i
\(15\) 0.435530 0.392153i 0.112453 0.101253i
\(16\) −1.83400 2.03686i −0.458499 0.509215i
\(17\) 0.244382 2.32514i 0.0592714 0.563930i −0.924078 0.382204i \(-0.875165\pi\)
0.983349 0.181726i \(-0.0581683\pi\)
\(18\) −3.22119 1.04663i −0.759242 0.246693i
\(19\) 5.00196 + 4.50379i 1.14753 + 1.03324i 0.999017 + 0.0443288i \(0.0141149\pi\)
0.148512 + 0.988911i \(0.452552\pi\)
\(20\) −0.0499276 + 0.112139i −0.0111641 + 0.0250751i
\(21\) 0.138608 0.0450365i 0.0302467 0.00982776i
\(22\) −0.0908927 + 0.864786i −0.0193784 + 0.184373i
\(23\) 5.12835 2.28329i 1.06934 0.476099i 0.204869 0.978789i \(-0.434323\pi\)
0.864466 + 0.502691i \(0.167657\pi\)
\(24\) 7.31492 0.768829i 1.49315 0.156937i
\(25\) 4.94046 0.988091
\(26\) −2.55113 + 3.59891i −0.500318 + 0.705805i
\(27\) −0.450292 + 0.327157i −0.0866588 + 0.0629613i
\(28\) −0.0226850 + 0.0204256i −0.00428705 + 0.00386008i
\(29\) 4.00706 + 0.851726i 0.744092 + 0.158162i 0.564331 0.825549i \(-0.309134\pi\)
0.179761 + 0.983710i \(0.442468\pi\)
\(30\) 0.358525 + 0.620983i 0.0654574 + 0.113376i
\(31\) −5.02847 + 2.39049i −0.903141 + 0.429345i
\(32\) −2.40019 + 1.38575i −0.424298 + 0.244969i
\(33\) −1.26848 1.14215i −0.220815 0.198823i
\(34\) 2.72049 + 0.883939i 0.466559 + 0.151594i
\(35\) −0.0135273 0.00602276i −0.00228654 0.00101803i
\(36\) −0.696274 + 1.20598i −0.116046 + 0.200997i
\(37\) 5.20056 + 3.00255i 0.854967 + 0.493615i 0.862324 0.506358i \(-0.169008\pi\)
−0.00735671 + 0.999973i \(0.502342\pi\)
\(38\) −6.66238 + 4.84050i −1.08078 + 0.785233i
\(39\) −2.77187 8.20390i −0.443854 1.31368i
\(40\) −0.604579 0.439252i −0.0955924 0.0694519i
\(41\) −1.88013 + 8.84531i −0.293627 + 1.38141i 0.545792 + 0.837920i \(0.316229\pi\)
−0.839419 + 0.543485i \(0.817105\pi\)
\(42\) 0.0186389 + 0.177338i 0.00287605 + 0.0273638i
\(43\) 4.79029 5.32015i 0.730512 0.811316i −0.257405 0.966304i \(-0.582867\pi\)
0.987916 + 0.154988i \(0.0495340\pi\)
\(44\) 0.340017 + 0.110478i 0.0512595 + 0.0166552i
\(45\) −0.671804 0.0706094i −0.100147 0.0105258i
\(46\) 1.42801 + 6.71826i 0.210549 + 0.990553i
\(47\) −2.18159 0.708843i −0.318218 0.103395i 0.145553 0.989350i \(-0.453504\pi\)
−0.463771 + 0.885955i \(0.653504\pi\)
\(48\) −0.688088 + 6.54672i −0.0993170 + 0.944938i
\(49\) 4.68145 + 5.19928i 0.668779 + 0.742754i
\(50\) −1.25675 + 5.91257i −0.177732 + 0.836163i
\(51\) −4.54271 + 3.30047i −0.636107 + 0.462159i
\(52\) 1.22928 + 1.33362i 0.170470 + 0.184940i
\(53\) −8.70306 6.32314i −1.19546 0.868550i −0.201627 0.979462i \(-0.564623\pi\)
−0.993830 + 0.110912i \(0.964623\pi\)
\(54\) −0.276984 0.622117i −0.0376928 0.0846594i
\(55\) 0.0181279 + 0.172475i 0.00244436 + 0.0232565i
\(56\) −0.0929186 0.160940i −0.0124168 0.0215065i
\(57\) 16.1655i 2.14117i
\(58\) −2.03863 + 4.57885i −0.267686 + 0.601232i
\(59\) −2.52511 11.8797i −0.328741 1.54661i −0.763350 0.645986i \(-0.776447\pi\)
0.434608 0.900619i \(-0.356887\pi\)
\(60\) 0.280386 0.0911028i 0.0361976 0.0117613i
\(61\) 3.98001 + 6.89358i 0.509588 + 0.882633i 0.999938 + 0.0111074i \(0.00353566\pi\)
−0.490350 + 0.871526i \(0.663131\pi\)
\(62\) −1.58171 6.62600i −0.200878 0.841503i
\(63\) −0.145478 0.0839915i −0.0183285 0.0105819i
\(64\) −2.74180 8.43841i −0.342726 1.05480i
\(65\) −0.348451 + 0.807878i −0.0432200 + 0.100205i
\(66\) 1.68956 1.22754i 0.207971 0.151100i
\(67\) −9.70526 5.60334i −1.18569 0.684556i −0.228363 0.973576i \(-0.573337\pi\)
−0.957323 + 0.289020i \(0.906671\pi\)
\(68\) 0.588044 1.01852i 0.0713109 0.123514i
\(69\) −12.3169 5.48382i −1.48278 0.660174i
\(70\) 0.0106489 0.0146570i 0.00127279 0.00175184i
\(71\) 3.67124 + 0.385862i 0.435696 + 0.0457934i 0.319838 0.947472i \(-0.396372\pi\)
0.115858 + 0.993266i \(0.463038\pi\)
\(72\) −6.30017 5.67270i −0.742482 0.668534i
\(73\) −0.320173 0.440680i −0.0374734 0.0515777i 0.789869 0.613275i \(-0.210148\pi\)
−0.827343 + 0.561698i \(0.810148\pi\)
\(74\) −4.91626 + 5.46006i −0.571504 + 0.634720i
\(75\) −7.93962 8.81785i −0.916789 1.01820i
\(76\) 1.37716 + 3.09316i 0.157971 + 0.354809i
\(77\) −0.0133270 + 0.0410162i −0.00151875 + 0.00467423i
\(78\) 10.5233 1.23036i 1.19152 0.139311i
\(79\) −5.61945 4.08277i −0.632237 0.459347i 0.224937 0.974373i \(-0.427782\pi\)
−0.857175 + 0.515026i \(0.827782\pi\)
\(80\) 0.497031 0.447529i 0.0555697 0.0500352i
\(81\) 9.43084 + 2.00459i 1.04787 + 0.222732i
\(82\) −10.1075 4.50015i −1.11619 0.496958i
\(83\) −3.70139 + 1.20265i −0.406280 + 0.132008i −0.505026 0.863104i \(-0.668517\pi\)
0.0987456 + 0.995113i \(0.468517\pi\)
\(84\) 0.0729123 + 0.00766339i 0.00795539 + 0.000836145i
\(85\) 0.567378 + 0.0596338i 0.0615408 + 0.00646819i
\(86\) 5.14842 + 7.08619i 0.555168 + 0.764124i
\(87\) −4.91941 8.52067i −0.527416 0.913512i
\(88\) −1.08826 + 1.88492i −0.116009 + 0.200933i
\(89\) 2.83103 0.297553i 0.300088 0.0315406i 0.0467122 0.998908i \(-0.485126\pi\)
0.253376 + 0.967368i \(0.418459\pi\)
\(90\) 0.255397 0.786030i 0.0269212 0.0828549i
\(91\) −0.160875 + 0.148288i −0.0168642 + 0.0155448i
\(92\) 2.82392 0.294414
\(93\) 12.3477 + 5.13328i 1.28040 + 0.532296i
\(94\) 1.40327 2.43054i 0.144737 0.250691i
\(95\) −1.09901 + 1.22057i −0.112756 + 0.125228i
\(96\) 6.33059 + 2.05693i 0.646113 + 0.209935i
\(97\) −1.78574 + 4.01083i −0.181314 + 0.407238i −0.981221 0.192886i \(-0.938215\pi\)
0.799907 + 0.600124i \(0.204882\pi\)
\(98\) −7.41319 + 4.28000i −0.748845 + 0.432346i
\(99\) 1.96741i 0.197732i
\(100\) 2.27040 + 1.01085i 0.227040 + 0.101085i
\(101\) −8.90832 + 3.96624i −0.886411 + 0.394656i −0.798869 0.601505i \(-0.794568\pi\)
−0.0875423 + 0.996161i \(0.527901\pi\)
\(102\) −2.79432 6.27614i −0.276679 0.621430i
\(103\) −5.34896 16.4624i −0.527049 1.62209i −0.760228 0.649656i \(-0.774913\pi\)
0.233179 0.972434i \(-0.425087\pi\)
\(104\) −9.49750 + 5.63218i −0.931307 + 0.552281i
\(105\) 0.0109897 + 0.0338229i 0.00107249 + 0.00330078i
\(106\) 9.78120 8.80704i 0.950035 0.855415i
\(107\) 0.453801 0.202045i 0.0438706 0.0195325i −0.384684 0.923048i \(-0.625690\pi\)
0.428555 + 0.903516i \(0.359023\pi\)
\(108\) −0.273871 + 0.0582131i −0.0263533 + 0.00560156i
\(109\) 7.59319 + 2.46718i 0.727296 + 0.236313i 0.649184 0.760632i \(-0.275111\pi\)
0.0781123 + 0.996945i \(0.475111\pi\)
\(110\) −0.211024 0.0221795i −0.0201203 0.00211473i
\(111\) −2.99861 14.1074i −0.284616 1.33901i
\(112\) 0.158181 0.0513960i 0.0149467 0.00485647i
\(113\) 0.490110 + 0.218211i 0.0461056 + 0.0205276i 0.429660 0.902991i \(-0.358633\pi\)
−0.383554 + 0.923518i \(0.625300\pi\)
\(114\) 19.3463 + 4.11219i 1.81195 + 0.385141i
\(115\) 0.557165 + 1.25141i 0.0519559 + 0.116695i
\(116\) 1.66718 + 1.21128i 0.154794 + 0.112465i
\(117\) −4.88932 + 8.70152i −0.452018 + 0.804456i
\(118\) 14.8596 1.36793
\(119\) 0.122864 + 0.0709357i 0.0112630 + 0.00650267i
\(120\) 0.187608 + 1.78497i 0.0171262 + 0.162945i
\(121\) −10.2656 + 2.18201i −0.933233 + 0.198365i
\(122\) −9.26244 + 3.00955i −0.838582 + 0.272472i
\(123\) 18.8088 10.8593i 1.69593 0.979148i
\(124\) −2.79996 + 0.0697002i −0.251443 + 0.00625926i
\(125\) 2.42565i 0.216957i
\(126\) 0.137525 0.152737i 0.0122517 0.0136069i
\(127\) 0.759361 + 0.843356i 0.0673824 + 0.0748358i 0.775893 0.630864i \(-0.217299\pi\)
−0.708511 + 0.705700i \(0.750633\pi\)
\(128\) 5.28362 0.555330i 0.467010 0.0490847i
\(129\) −17.1938 −1.51383
\(130\) −0.878201 0.622522i −0.0770233 0.0545988i
\(131\) −6.96250 + 5.05855i −0.608317 + 0.441968i −0.848821 0.528680i \(-0.822687\pi\)
0.240505 + 0.970648i \(0.422687\pi\)
\(132\) −0.349245 0.784416i −0.0303978 0.0682747i
\(133\) −0.373127 + 0.166127i −0.0323542 + 0.0144050i
\(134\) 9.17471 10.1895i 0.792574 0.880243i
\(135\) −0.0798322 0.109880i −0.00687086 0.00945693i
\(136\) 5.32086 + 4.79092i 0.456260 + 0.410818i
\(137\) −2.66994 12.5611i −0.228108 1.07316i −0.931888 0.362746i \(-0.881839\pi\)
0.703780 0.710418i \(-0.251494\pi\)
\(138\) 9.69601 13.3454i 0.825379 1.13604i
\(139\) 8.33567 1.77180i 0.707023 0.150282i 0.159653 0.987173i \(-0.448963\pi\)
0.547370 + 0.836891i \(0.315629\pi\)
\(140\) −0.00498423 0.00553555i −0.000421244 0.000467839i
\(141\) 2.24080 + 5.03292i 0.188709 + 0.423848i
\(142\) −1.39568 + 4.29545i −0.117123 + 0.360466i
\(143\) 2.44614 + 0.763356i 0.204557 + 0.0638351i
\(144\) 6.13834 4.45976i 0.511528 0.371647i
\(145\) −0.207837 + 0.977795i −0.0172599 + 0.0812015i
\(146\) 0.608837 0.271072i 0.0503877 0.0224341i
\(147\) 1.75641 16.7111i 0.144866 1.37831i
\(148\) 1.77559 + 2.44389i 0.145953 + 0.200887i
\(149\) 4.96069 2.86406i 0.406396 0.234633i −0.282844 0.959166i \(-0.591278\pi\)
0.689240 + 0.724533i \(0.257945\pi\)
\(150\) 12.5726 7.25878i 1.02655 0.592677i
\(151\) 6.24437 + 8.59464i 0.508160 + 0.699422i 0.983608 0.180322i \(-0.0577140\pi\)
−0.475448 + 0.879744i \(0.657714\pi\)
\(152\) −20.1625 + 4.28567i −1.63539 + 0.347614i
\(153\) 6.33061 + 1.34561i 0.511799 + 0.108786i
\(154\) −0.0456967 0.0263830i −0.00368234 0.00212600i
\(155\) −0.583324 1.22704i −0.0468537 0.0985582i
\(156\) 0.404748 4.33726i 0.0324058 0.347259i
\(157\) −4.27702 13.1633i −0.341343 1.05055i −0.963512 0.267664i \(-0.913748\pi\)
0.622169 0.782883i \(-0.286252\pi\)
\(158\) 6.31559 5.68659i 0.502442 0.452400i
\(159\) 2.70067 + 25.6951i 0.214177 + 2.03776i
\(160\) −0.338149 0.585691i −0.0267330 0.0463030i
\(161\) 0.340649i 0.0268469i
\(162\) −4.79804 + 10.7766i −0.376970 + 0.846688i
\(163\) −0.279448 0.0293712i −0.0218881 0.00230053i 0.0935781 0.995612i \(-0.470170\pi\)
−0.115466 + 0.993311i \(0.536836\pi\)
\(164\) −2.67382 + 3.68020i −0.208790 + 0.287375i
\(165\) 0.278705 0.309534i 0.0216972 0.0240972i
\(166\) −0.497734 4.73563i −0.0386317 0.367556i
\(167\) −4.19181 + 19.7209i −0.324372 + 1.52605i 0.449831 + 0.893114i \(0.351484\pi\)
−0.774203 + 0.632937i \(0.781849\pi\)
\(168\) −0.137923 + 0.424484i −0.0106410 + 0.0327496i
\(169\) 8.92180 + 9.45523i 0.686292 + 0.727326i
\(170\) −0.215697 + 0.663849i −0.0165432 + 0.0509149i
\(171\) −13.8467 + 12.4676i −1.05888 + 0.953423i
\(172\) 3.28992 1.46477i 0.250854 0.111687i
\(173\) −17.1117 + 3.63721i −1.30098 + 0.276532i −0.805764 0.592237i \(-0.798245\pi\)
−0.495218 + 0.868769i \(0.664912\pi\)
\(174\) 11.4486 3.71989i 0.867920 0.282004i
\(175\) −0.121938 + 0.273878i −0.00921766 + 0.0207032i
\(176\) −1.44761 1.30343i −0.109117 0.0982498i
\(177\) −17.1452 + 23.5983i −1.28871 + 1.77376i
\(178\) −0.364057 + 3.46377i −0.0272872 + 0.259620i
\(179\) −1.09185 10.3883i −0.0816088 0.776456i −0.956421 0.291993i \(-0.905682\pi\)
0.874812 0.484463i \(-0.160985\pi\)
\(180\) −0.294282 0.169904i −0.0219345 0.0126639i
\(181\) −7.60734 −0.565449 −0.282725 0.959201i \(-0.591238\pi\)
−0.282725 + 0.959201i \(0.591238\pi\)
\(182\) −0.136543 0.230251i −0.0101212 0.0170673i
\(183\) 5.90771 18.1821i 0.436710 1.34406i
\(184\) −3.57437 + 16.8161i −0.263506 + 1.23970i
\(185\) −0.732676 + 1.26903i −0.0538674 + 0.0933011i
\(186\) −9.28434 + 13.4715i −0.680761 + 0.987777i
\(187\) 1.66159i 0.121508i
\(188\) −0.857523 0.772117i −0.0625413 0.0563124i
\(189\) −0.00702224 0.0330370i −0.000510793 0.00240309i
\(190\) −1.18117 1.62574i −0.0856912 0.117944i
\(191\) 7.94507 + 13.7613i 0.574885 + 0.995730i 0.996054 + 0.0887477i \(0.0282865\pi\)
−0.421169 + 0.906982i \(0.638380\pi\)
\(192\) −10.6548 + 18.4547i −0.768946 + 1.33185i
\(193\) −3.98025 + 0.418341i −0.286504 + 0.0301128i −0.246691 0.969094i \(-0.579343\pi\)
−0.0398138 + 0.999207i \(0.512676\pi\)
\(194\) −4.34577 3.15738i −0.312008 0.226687i
\(195\) 2.00190 0.676387i 0.143359 0.0484371i
\(196\) 1.08757 + 3.34719i 0.0776835 + 0.239085i
\(197\) 6.15423 0.646835i 0.438471 0.0460851i 0.117278 0.993099i \(-0.462583\pi\)
0.321192 + 0.947014i \(0.395916\pi\)
\(198\) −2.35453 0.500471i −0.167329 0.0355669i
\(199\) −19.0295 + 4.04485i −1.34897 + 0.286732i −0.825061 0.565043i \(-0.808860\pi\)
−0.523907 + 0.851775i \(0.675526\pi\)
\(200\) −8.89321 + 12.2405i −0.628845 + 0.865531i
\(201\) 5.59600 + 26.3271i 0.394711 + 1.85697i
\(202\) −2.48056 11.6701i −0.174531 0.821106i
\(203\) −0.146117 + 0.201112i −0.0102554 + 0.0141153i
\(204\) −2.76291 + 0.587275i −0.193442 + 0.0411174i
\(205\) −2.15842 0.458786i −0.150750 0.0320430i
\(206\) 21.0623 2.21374i 1.46748 0.154239i
\(207\) 4.80215 + 14.7795i 0.333773 + 1.02725i
\(208\) −3.16328 9.36237i −0.219334 0.649163i
\(209\) 3.87003 + 2.81174i 0.267695 + 0.194492i
\(210\) −0.0432736 + 0.00454824i −0.00298616 + 0.000313859i
\(211\) 10.2459 17.7464i 0.705357 1.22171i −0.261205 0.965283i \(-0.584120\pi\)
0.966562 0.256431i \(-0.0825468\pi\)
\(212\) −2.70576 4.68651i −0.185832 0.321871i
\(213\) −5.21121 7.17262i −0.357066 0.491460i
\(214\) 0.126363 + 0.594490i 0.00863798 + 0.0406385i
\(215\) 1.29821 + 1.16892i 0.0885375 + 0.0797195i
\(216\) 1.70455i 0.115980i
\(217\) −0.00840793 0.337758i −0.000570767 0.0229285i
\(218\) −4.88419 + 8.45967i −0.330799 + 0.572961i
\(219\) −0.271999 + 1.27965i −0.0183800 + 0.0864710i
\(220\) −0.0269587 + 0.0829704i −0.00181756 + 0.00559386i
\(221\) 4.12932 7.34894i 0.277768 0.494343i
\(222\) 17.6460 1.18432
\(223\) 23.9200 + 13.8102i 1.60180 + 0.924800i 0.991127 + 0.132917i \(0.0424344\pi\)
0.610673 + 0.791883i \(0.290899\pi\)
\(224\) −0.0175796 0.167259i −0.00117459 0.0111755i
\(225\) −1.42958 + 13.6015i −0.0953051 + 0.906767i
\(226\) −0.385822 + 0.531038i −0.0256645 + 0.0353241i
\(227\) −18.5160 16.6719i −1.22895 1.10655i −0.990802 0.135321i \(-0.956793\pi\)
−0.238147 0.971229i \(-0.576540\pi\)
\(228\) 3.30755 7.42889i 0.219048 0.491990i
\(229\) 21.7270 7.05952i 1.43576 0.466506i 0.515186 0.857078i \(-0.327723\pi\)
0.920572 + 0.390572i \(0.127723\pi\)
\(230\) −1.63938 + 0.348461i −0.108097 + 0.0229768i
\(231\) 0.0946241 0.0421293i 0.00622581 0.00277191i
\(232\) −9.32325 + 8.39470i −0.612102 + 0.551139i
\(233\) −5.10389 + 15.7081i −0.334367 + 1.02907i 0.632666 + 0.774424i \(0.281960\pi\)
−0.967033 + 0.254650i \(0.918040\pi\)
\(234\) −9.16993 8.06487i −0.599457 0.527217i
\(235\) 0.172971 0.532349i 0.0112834 0.0347266i
\(236\) 1.27024 5.97599i 0.0826854 0.389004i
\(237\) 1.74378 + 16.5910i 0.113271 + 1.07770i
\(238\) −0.116148 + 0.128995i −0.00752874 + 0.00836151i
\(239\) 6.07188 8.35722i 0.392757 0.540584i −0.566151 0.824302i \(-0.691568\pi\)
0.958908 + 0.283718i \(0.0915680\pi\)
\(240\) −1.59752 0.167906i −0.103119 0.0108383i
\(241\) 4.27526 9.60240i 0.275394 0.618545i −0.721905 0.691992i \(-0.756733\pi\)
0.997299 + 0.0734470i \(0.0234000\pi\)
\(242\) 12.8405i 0.825421i
\(243\) −10.7432 18.6078i −0.689179 1.19369i
\(244\) 0.418556 + 3.98230i 0.0267953 + 0.254940i
\(245\) −1.26872 + 1.14236i −0.0810555 + 0.0729827i
\(246\) 8.21141 + 25.2721i 0.523540 + 1.61129i
\(247\) 10.1288 + 22.0535i 0.644483 + 1.40323i
\(248\) 3.12898 16.7616i 0.198690 1.06436i
\(249\) 8.09489 + 4.67359i 0.512993 + 0.296177i
\(250\) −2.90294 0.617039i −0.183598 0.0390250i
\(251\) −17.9708 + 3.81980i −1.13430 + 0.241104i −0.736547 0.676387i \(-0.763545\pi\)
−0.397757 + 0.917491i \(0.630211\pi\)
\(252\) −0.0496694 0.0683640i −0.00312888 0.00430653i
\(253\) 3.45516 1.99484i 0.217224 0.125414i
\(254\) −1.20247 + 0.694244i −0.0754494 + 0.0435608i
\(255\) −0.805376 1.10851i −0.0504346 0.0694173i
\(256\) 1.17544 11.1836i 0.0734653 0.698976i
\(257\) 2.04664 0.911223i 0.127666 0.0568405i −0.341910 0.939733i \(-0.611074\pi\)
0.469575 + 0.882892i \(0.344407\pi\)
\(258\) 4.37377 20.5770i 0.272299 1.28107i
\(259\) −0.294806 + 0.214189i −0.0183184 + 0.0133091i
\(260\) −0.325428 + 0.299967i −0.0201822 + 0.0186032i
\(261\) −3.50436 + 10.7853i −0.216915 + 0.667595i
\(262\) −4.28278 9.61928i −0.264591 0.594281i
\(263\) 6.88982 + 7.65192i 0.424844 + 0.471837i 0.917125 0.398599i \(-0.130503\pi\)
−0.492281 + 0.870436i \(0.663837\pi\)
\(264\) 5.11316 1.08684i 0.314693 0.0668901i
\(265\) 1.54296 2.12371i 0.0947834 0.130458i
\(266\) −0.103899 0.488805i −0.00637044 0.0299706i
\(267\) −5.08072 4.57470i −0.310935 0.279967i
\(268\) −3.31360 4.56078i −0.202410 0.278594i
\(269\) 3.97523 4.41494i 0.242374 0.269183i −0.609668 0.792657i \(-0.708697\pi\)
0.852042 + 0.523473i \(0.175364\pi\)
\(270\) 0.151808 0.0675892i 0.00923874 0.00411335i
\(271\) −8.26649 18.5669i −0.502154 1.12786i −0.969791 0.243936i \(-0.921561\pi\)
0.467638 0.883920i \(-0.345105\pi\)
\(272\) −5.18418 + 3.76653i −0.314337 + 0.228379i
\(273\) 0.523204 + 0.0488247i 0.0316657 + 0.00295501i
\(274\) 15.7118 0.949186
\(275\) 3.49197 0.367021i 0.210574 0.0221322i
\(276\) −4.53822 5.04020i −0.273169 0.303385i
\(277\) 7.81762 8.68234i 0.469715 0.521671i −0.461008 0.887396i \(-0.652512\pi\)
0.930723 + 0.365724i \(0.119179\pi\)
\(278\) 10.4266i 0.625343i
\(279\) −5.12619 14.5355i −0.306897 0.870220i
\(280\) 0.0392723 0.0226738i 0.00234697 0.00135502i
\(281\) 7.86472 2.55540i 0.469170 0.152443i −0.0648842 0.997893i \(-0.520668\pi\)
0.534054 + 0.845450i \(0.320668\pi\)
\(282\) −6.59324 + 1.40144i −0.392622 + 0.0834543i
\(283\) −0.477008 4.53842i −0.0283552 0.269781i −0.999509 0.0313281i \(-0.990026\pi\)
0.971154 0.238453i \(-0.0766404\pi\)
\(284\) 1.60818 + 0.928480i 0.0954276 + 0.0550952i
\(285\) 3.94468 0.233663
\(286\) −1.53581 + 2.73328i −0.0908143 + 0.161622i
\(287\) −0.443942 0.322543i −0.0262050 0.0190391i
\(288\) −3.12057 7.00892i −0.183882 0.413005i
\(289\) 11.2819 + 2.39805i 0.663643 + 0.141062i
\(290\) −1.11732 0.497464i −0.0656114 0.0292121i
\(291\) 10.0284 3.25843i 0.587876 0.191013i
\(292\) −0.0569705 0.268025i −0.00333394 0.0156850i
\(293\) 22.8868 + 2.40550i 1.33706 + 0.140531i 0.745919 0.666036i \(-0.232010\pi\)
0.591142 + 0.806567i \(0.298677\pi\)
\(294\) 19.5525 + 6.35300i 1.14033 + 0.370514i
\(295\) 2.89887 0.616173i 0.168778 0.0358750i
\(296\) −16.8005 + 7.48007i −0.976510 + 0.434770i
\(297\) −0.293968 + 0.264690i −0.0170578 + 0.0153589i
\(298\) 2.16570 + 6.66534i 0.125456 + 0.386113i
\(299\) 20.2390 0.236209i 1.17045 0.0136603i
\(300\) −1.84449 5.67676i −0.106492 0.327748i
\(301\) 0.176695 + 0.396863i 0.0101845 + 0.0228748i
\(302\) −11.8742 + 5.28674i −0.683284 + 0.304218i
\(303\) 21.3953 + 9.52579i 1.22913 + 0.547243i
\(304\) 18.4482i 1.05808i
\(305\) −1.68216 + 0.971196i −0.0963203 + 0.0556105i
\(306\) −3.22077 + 7.23396i −0.184119 + 0.413538i
\(307\) −2.98913 0.971228i −0.170599 0.0554309i 0.222472 0.974939i \(-0.428587\pi\)
−0.393071 + 0.919508i \(0.628587\pi\)
\(308\) −0.0145166 + 0.0161223i −0.000827160 + 0.000918654i
\(309\) −20.7864 + 36.0031i −1.18250 + 2.04815i
\(310\) 1.61687 0.385967i 0.0918318 0.0219214i
\(311\) 27.5798 1.56391 0.781954 0.623336i \(-0.214223\pi\)
0.781954 + 0.623336i \(0.214223\pi\)
\(312\) 25.3155 + 7.90010i 1.43321 + 0.447255i
\(313\) −1.86915 + 5.75265i −0.105651 + 0.325159i −0.989883 0.141889i \(-0.954682\pi\)
0.884232 + 0.467048i \(0.154682\pi\)
\(314\) 16.8414 1.77010i 0.950415 0.0998926i
\(315\) 0.0204955 0.0354992i 0.00115479 0.00200015i
\(316\) −1.74707 3.02602i −0.0982805 0.170227i
\(317\) −5.22797 7.19569i −0.293632 0.404150i 0.636557 0.771229i \(-0.280358\pi\)
−0.930190 + 0.367079i \(0.880358\pi\)
\(318\) −31.4380 3.30427i −1.76296 0.185294i
\(319\) 2.89551 + 0.304330i 0.162117 + 0.0170392i
\(320\) 2.05913 0.669051i 0.115109 0.0374011i
\(321\) −1.08990 0.485256i −0.0608324 0.0270843i
\(322\) −0.407677 0.0866545i −0.0227190 0.00482906i
\(323\) 11.6943 10.5296i 0.650691 0.585884i
\(324\) 3.92382 + 2.85082i 0.217990 + 0.158379i
\(325\) 16.3565 + 7.05482i 0.907295 + 0.391331i
\(326\) 0.106237 0.326963i 0.00588391 0.0181088i
\(327\) −7.79926 17.5174i −0.431300 0.968716i
\(328\) −18.5307 20.5805i −1.02319 1.13637i
\(329\) 0.0931404 0.103443i 0.00513500 0.00570299i
\(330\) 0.299542 + 0.412284i 0.0164892 + 0.0226955i
\(331\) −1.60568 1.44576i −0.0882562 0.0794663i 0.623822 0.781567i \(-0.285579\pi\)
−0.712078 + 0.702100i \(0.752246\pi\)
\(332\) −1.94705 0.204643i −0.106858 0.0112313i
\(333\) −9.77111 + 13.4488i −0.535454 + 0.736989i
\(334\) −22.5350 10.0332i −1.23306 0.548994i
\(335\) 1.36732 2.36826i 0.0747045 0.129392i
\(336\) −0.345939 0.199728i −0.0188725 0.0108961i
\(337\) −2.05745 + 1.49482i −0.112076 + 0.0814283i −0.642412 0.766360i \(-0.722066\pi\)
0.530335 + 0.847788i \(0.322066\pi\)
\(338\) −13.5852 + 8.27208i −0.738939 + 0.449942i
\(339\) −0.398169 1.22544i −0.0216256 0.0665567i
\(340\) 0.248538 + 0.143494i 0.0134789 + 0.00778204i
\(341\) −3.37660 + 2.06319i −0.182853 + 0.111728i
\(342\) −11.3985 19.7428i −0.616360 1.06757i
\(343\) −0.807755 + 0.262456i −0.0436147 + 0.0141713i
\(344\) 4.55830 + 21.4451i 0.245767 + 1.15624i
\(345\) 1.33815 3.00554i 0.0720437 0.161813i
\(346\) 21.4040i 1.15069i
\(347\) 0.120272 + 0.208317i 0.00645655 + 0.0111831i 0.869236 0.494398i \(-0.164611\pi\)
−0.862779 + 0.505581i \(0.831278\pi\)
\(348\) −0.517348 4.92223i −0.0277327 0.263859i
\(349\) −13.2685 29.8016i −0.710248 1.59524i −0.800506 0.599325i \(-0.795436\pi\)
0.0902579 0.995918i \(-0.471231\pi\)
\(350\) −0.296749 0.215601i −0.0158619 0.0115243i
\(351\) −1.95796 + 0.440121i −0.104508 + 0.0234919i
\(352\) −1.59354 + 1.15777i −0.0849359 + 0.0617096i
\(353\) 0.688461 3.23895i 0.0366431 0.172392i −0.956021 0.293299i \(-0.905247\pi\)
0.992664 + 0.120907i \(0.0385802\pi\)
\(354\) −23.8802 26.5217i −1.26922 1.40961i
\(355\) −0.0941575 + 0.895849i −0.00499736 + 0.0475467i
\(356\) 1.36189 + 0.442504i 0.0721798 + 0.0234526i
\(357\) −0.0708429 0.333289i −0.00374940 0.0176396i
\(358\) 12.7101 + 1.33588i 0.671748 + 0.0706036i
\(359\) −17.6134 5.72294i −0.929600 0.302045i −0.195201 0.980763i \(-0.562536\pi\)
−0.734399 + 0.678718i \(0.762536\pi\)
\(360\) 1.38424 1.53736i 0.0729560 0.0810258i
\(361\) 2.74949 + 26.1596i 0.144710 + 1.37682i
\(362\) 1.93516 9.10420i 0.101710 0.478506i
\(363\) 20.3919 + 14.8156i 1.07030 + 0.777617i
\(364\) −0.104271 + 0.0352302i −0.00546528 + 0.00184656i
\(365\) 0.107534 0.0781281i 0.00562859 0.00408941i
\(366\) 20.2569 + 11.6953i 1.05884 + 0.611323i
\(367\) −3.16447 + 5.48102i −0.165184 + 0.286107i −0.936721 0.350078i \(-0.886155\pi\)
0.771537 + 0.636185i \(0.219488\pi\)
\(368\) −14.0561 6.25818i −0.732725 0.326230i
\(369\) −23.8079 7.73565i −1.23939 0.402702i
\(370\) −1.33236 1.19966i −0.0692659 0.0623673i
\(371\) 0.565333 0.326395i 0.0293506 0.0169456i
\(372\) 4.62411 + 4.88542i 0.239749 + 0.253297i
\(373\) −1.20778 2.09193i −0.0625363 0.108316i 0.833062 0.553179i \(-0.186586\pi\)
−0.895598 + 0.444863i \(0.853252\pi\)
\(374\) 1.98854 + 0.422677i 0.102825 + 0.0218561i
\(375\) 4.32937 3.89818i 0.223568 0.201301i
\(376\) 5.68327 4.12914i 0.293092 0.212944i
\(377\) 12.0500 + 8.54179i 0.620608 + 0.439925i
\(378\) 0.0413239 0.00212547
\(379\) −16.8155 + 1.76738i −0.863754 + 0.0907842i −0.526035 0.850463i \(-0.676322\pi\)
−0.337719 + 0.941247i \(0.609655\pi\)
\(380\) −0.754787 + 0.336053i −0.0387197 + 0.0172391i
\(381\) 0.284901 2.71065i 0.0145959 0.138871i
\(382\) −18.4901 + 6.00779i −0.946034 + 0.307385i
\(383\) −2.57190 + 5.77659i −0.131418 + 0.295170i −0.967254 0.253809i \(-0.918317\pi\)
0.835836 + 0.548979i \(0.184983\pi\)
\(384\) −9.48227 8.53788i −0.483890 0.435697i
\(385\) −0.0100087 0.00325203i −0.000510091 0.000165739i
\(386\) 0.511841 4.86984i 0.0260520 0.247868i
\(387\) 13.2607 + 14.7275i 0.674080 + 0.748642i
\(388\) −1.64128 + 1.47781i −0.0833233 + 0.0750246i
\(389\) −24.6769 17.9288i −1.25117 0.909027i −0.252879 0.967498i \(-0.581377\pi\)
−0.998289 + 0.0584713i \(0.981377\pi\)
\(390\) 0.300232 + 2.56787i 0.0152028 + 0.130029i
\(391\) −4.05570 12.4822i −0.205105 0.631249i
\(392\) −21.3087 + 2.23963i −1.07625 + 0.113119i
\(393\) 20.2178 + 4.29743i 1.01985 + 0.216777i
\(394\) −0.791404 + 7.52971i −0.0398704 + 0.379341i
\(395\) 0.996270 1.37125i 0.0501278 0.0689950i
\(396\) −0.402544 + 0.904129i −0.0202286 + 0.0454342i
\(397\) 0.321034 0.185349i 0.0161122 0.00930241i −0.491922 0.870639i \(-0.663706\pi\)
0.508034 + 0.861337i \(0.330372\pi\)
\(398\) 23.8028i 1.19313i
\(399\) 0.896146 + 0.398990i 0.0448634 + 0.0199745i
\(400\) −9.06077 10.0630i −0.453039 0.503150i
\(401\) 4.24236 19.9587i 0.211853 0.996691i −0.735753 0.677250i \(-0.763172\pi\)
0.947606 0.319441i \(-0.103495\pi\)
\(402\) −32.9309 −1.64244
\(403\) −20.0614 + 0.733746i −0.999332 + 0.0365505i
\(404\) −4.90536 −0.244051
\(405\) −0.489156 + 2.30130i −0.0243064 + 0.114352i
\(406\) −0.203515 0.226026i −0.0101003 0.0112175i
\(407\) 3.89888 + 1.73589i 0.193260 + 0.0860449i
\(408\) 17.1961i 0.851335i
\(409\) −27.9661 + 16.1462i −1.38283 + 0.798379i −0.992494 0.122292i \(-0.960976\pi\)
−0.390339 + 0.920671i \(0.627642\pi\)
\(410\) 1.09812 2.46641i 0.0542322 0.121808i
\(411\) −18.1285 + 24.9518i −0.894215 + 1.23078i
\(412\) 0.910179 8.65977i 0.0448413 0.426636i
\(413\) 0.720884 + 0.153229i 0.0354724 + 0.00753988i
\(414\) −18.9092 + 1.98743i −0.929335 + 0.0976770i
\(415\) −0.293470 0.903207i −0.0144059 0.0443367i
\(416\) −9.92519 + 1.16044i −0.486623 + 0.0568952i
\(417\) −16.5583 12.0303i −0.810864 0.589127i
\(418\) −4.34945 + 3.91627i −0.212739 + 0.191551i
\(419\) −18.4962 20.5421i −0.903598 1.00355i −0.999966 0.00820110i \(-0.997389\pi\)
0.0963688 0.995346i \(-0.469277\pi\)
\(420\) −0.00187001 + 0.0177919i −9.12471e−5 + 0.000868158i
\(421\) −30.4160 9.88277i −1.48239 0.481657i −0.547562 0.836765i \(-0.684444\pi\)
−0.934825 + 0.355109i \(0.884444\pi\)
\(422\) 18.6320 + 16.7763i 0.906990 + 0.816657i
\(423\) 2.58277 5.80101i 0.125579 0.282055i
\(424\) 31.3324 10.1805i 1.52164 0.494409i
\(425\) 1.20736 11.4873i 0.0585656 0.557214i
\(426\) 9.90957 4.41203i 0.480120 0.213763i
\(427\) −0.480384 + 0.0504904i −0.0232474 + 0.00244340i
\(428\) 0.249885 0.0120786
\(429\) −2.56865 5.59270i −0.124016 0.270018i
\(430\) −1.72916 + 1.25631i −0.0833876 + 0.0605846i
\(431\) −1.29575 + 1.16670i −0.0624140 + 0.0561978i −0.699747 0.714390i \(-0.746704\pi\)
0.637333 + 0.770588i \(0.280037\pi\)
\(432\) 1.49221 + 0.317178i 0.0717938 + 0.0152602i
\(433\) 4.54137 + 7.86588i 0.218244 + 0.378010i 0.954271 0.298942i \(-0.0966338\pi\)
−0.736027 + 0.676952i \(0.763300\pi\)
\(434\) 0.406356 + 0.0758568i 0.0195057 + 0.00364124i
\(435\) 2.07920 1.20043i 0.0996900 0.0575561i
\(436\) 2.98467 + 2.68741i 0.142940 + 0.128704i
\(437\) 35.9353 + 11.6761i 1.71902 + 0.558542i
\(438\) −1.46226 0.651038i −0.0698693 0.0311078i
\(439\) −8.13730 + 14.0942i −0.388372 + 0.672680i −0.992231 0.124411i \(-0.960296\pi\)
0.603859 + 0.797092i \(0.293629\pi\)
\(440\) −0.459955 0.265555i −0.0219275 0.0126599i
\(441\) −15.6687 + 11.3840i −0.746128 + 0.542094i
\(442\) 7.74454 + 6.81125i 0.368370 + 0.323978i
\(443\) 16.8086 + 12.2122i 0.798602 + 0.580218i 0.910504 0.413501i \(-0.135694\pi\)
−0.111902 + 0.993719i \(0.535694\pi\)
\(444\) 1.50843 7.09661i 0.0715869 0.336790i
\(445\) 0.0726084 + 0.690823i 0.00344197 + 0.0327481i
\(446\) −22.6124 + 25.1136i −1.07073 + 1.18916i
\(447\) −13.0840 4.25124i −0.618851 0.201077i
\(448\) 0.535461 + 0.0562793i 0.0252982 + 0.00265895i
\(449\) 5.78325 + 27.2081i 0.272929 + 1.28403i 0.874428 + 0.485155i \(0.161237\pi\)
−0.601500 + 0.798873i \(0.705430\pi\)
\(450\) −15.9142 5.17082i −0.750201 0.243755i
\(451\) −0.671789 + 6.39164i −0.0316333 + 0.300971i
\(452\) 0.180584 + 0.200559i 0.00849395 + 0.00943348i
\(453\) 5.30482 24.9572i 0.249242 1.17259i
\(454\) 24.6624 17.9183i 1.15746 0.840947i
\(455\) −0.0361850 0.0392563i −0.00169638 0.00184037i
\(456\) 40.0516 + 29.0992i 1.87559 + 1.36269i
\(457\) −12.3602 27.7615i −0.578186 1.29863i −0.931711 0.363201i \(-0.881684\pi\)
0.353525 0.935425i \(-0.384983\pi\)
\(458\) 2.92168 + 27.7979i 0.136521 + 1.29891i
\(459\) 0.650643 + 1.12695i 0.0303694 + 0.0526013i
\(460\) 0.689088i 0.0321289i
\(461\) −0.834878 + 1.87517i −0.0388841 + 0.0873352i −0.931943 0.362604i \(-0.881888\pi\)
0.893059 + 0.449939i \(0.148554\pi\)
\(462\) 0.0263485 + 0.123960i 0.00122584 + 0.00576713i
\(463\) −30.3298 + 9.85475i −1.40955 + 0.457989i −0.912265 0.409601i \(-0.865668\pi\)
−0.497280 + 0.867590i \(0.665668\pi\)
\(464\) −5.61408 9.72387i −0.260627 0.451419i
\(465\) −1.25261 + 3.01306i −0.0580886 + 0.139727i
\(466\) −17.5006 10.1040i −0.810702 0.468059i
\(467\) −6.11035 18.8057i −0.282753 0.870225i −0.987063 0.160333i \(-0.948743\pi\)
0.704310 0.709893i \(-0.251257\pi\)
\(468\) −4.02728 + 2.99842i −0.186161 + 0.138602i
\(469\) 0.550166 0.399719i 0.0254043 0.0184573i
\(470\) 0.593097 + 0.342424i 0.0273575 + 0.0157949i
\(471\) −16.6208 + 28.7880i −0.765845 + 1.32648i
\(472\) 33.9785 + 15.1282i 1.56399 + 0.696332i
\(473\) 2.99060 4.11621i 0.137508 0.189264i
\(474\) −20.2991 2.13352i −0.932369 0.0979960i
\(475\) 24.7120 + 22.2508i 1.13386 + 1.02093i
\(476\) 0.0419487 + 0.0577374i 0.00192272 + 0.00264639i
\(477\) 19.9265 22.1306i 0.912371 1.01329i
\(478\) 8.45707 + 9.39253i 0.386817 + 0.429604i
\(479\) 17.5257 + 39.3634i 0.800770 + 1.79856i 0.561200 + 0.827680i \(0.310340\pi\)
0.239570 + 0.970879i \(0.422994\pi\)
\(480\) −0.501929 + 1.54478i −0.0229098 + 0.0705092i
\(481\) 12.9301 + 17.3668i 0.589561 + 0.791860i
\(482\) 10.4043 + 7.55915i 0.473902 + 0.344310i
\(483\) 0.607999 0.547445i 0.0276649 0.0249096i
\(484\) −5.16401 1.09764i −0.234728 0.0498930i
\(485\) −0.978716 0.435752i −0.0444412 0.0197865i
\(486\) 25.0021 8.12367i 1.13412 0.368497i
\(487\) −10.8205 1.13728i −0.490325 0.0515352i −0.143860 0.989598i \(-0.545951\pi\)
−0.346465 + 0.938063i \(0.612618\pi\)
\(488\) −24.2439 2.54813i −1.09747 0.115349i
\(489\) 0.396669 + 0.545968i 0.0179380 + 0.0246895i
\(490\) −1.04440 1.80895i −0.0471812 0.0817202i
\(491\) 16.1619 27.9931i 0.729374 1.26331i −0.227774 0.973714i \(-0.573145\pi\)
0.957148 0.289599i \(-0.0935219\pi\)
\(492\) 10.8655 1.14201i 0.489855 0.0514858i
\(493\) 2.95964 9.10884i 0.133295 0.410241i
\(494\) −28.9694 + 6.51189i −1.30339 + 0.292984i
\(495\) −0.480085 −0.0215782
\(496\) 14.0913 + 5.85814i 0.632718 + 0.263038i
\(497\) −0.112002 + 0.193994i −0.00502400 + 0.00870182i
\(498\) −7.65237 + 8.49882i −0.342911 + 0.380841i
\(499\) −31.9424 10.3787i −1.42994 0.464615i −0.511193 0.859466i \(-0.670796\pi\)
−0.918745 + 0.394851i \(0.870796\pi\)
\(500\) −0.496303 + 1.11471i −0.0221953 + 0.0498516i
\(501\) 41.9349 24.2111i 1.87351 1.08167i
\(502\) 22.4785i 1.00326i
\(503\) 26.9590 + 12.0029i 1.20204 + 0.535184i 0.907337 0.420404i \(-0.138112\pi\)
0.294706 + 0.955588i \(0.404778\pi\)
\(504\) 0.469968 0.209243i 0.0209340 0.00932044i
\(505\) −0.967836 2.17379i −0.0430681 0.0967326i
\(506\) 1.50843 + 4.64246i 0.0670578 + 0.206383i
\(507\) 2.53804 31.1190i 0.112718 1.38204i
\(508\) 0.176411 + 0.542936i 0.00782695 + 0.0240889i
\(509\) 6.94614 6.25433i 0.307882 0.277218i −0.500676 0.865635i \(-0.666915\pi\)
0.808558 + 0.588417i \(0.200248\pi\)
\(510\) 1.53149 0.681865i 0.0678156 0.0301935i
\(511\) 0.0323318 0.00687234i 0.00143028 0.000304014i
\(512\) 23.1905 + 7.53506i 1.02489 + 0.333006i
\(513\) −3.72579 0.391596i −0.164498 0.0172894i
\(514\) 0.569895 + 2.68115i 0.0251370 + 0.118260i
\(515\) 4.01713 1.30525i 0.177016 0.0575160i
\(516\) −7.90146 3.51796i −0.347843 0.154870i
\(517\) −1.59464 0.338950i −0.0701320 0.0149070i
\(518\) −0.181342 0.407300i −0.00796769 0.0178957i
\(519\) 33.9915 + 24.6962i 1.49206 + 1.08404i
\(520\) −1.37436 2.31757i −0.0602695 0.101632i
\(521\) −29.0671 −1.27345 −0.636726 0.771090i \(-0.719712\pi\)
−0.636726 + 0.771090i \(0.719712\pi\)
\(522\) −12.0161 6.93748i −0.525929 0.303645i
\(523\) 0.787106 + 7.48881i 0.0344177 + 0.327463i 0.998160 + 0.0606293i \(0.0193108\pi\)
−0.963743 + 0.266834i \(0.914023\pi\)
\(524\) −4.23464 + 0.900101i −0.184991 + 0.0393211i
\(525\) 0.684786 0.222501i 0.0298865 0.00971072i
\(526\) −10.9102 + 6.29900i −0.475707 + 0.274649i
\(527\) 4.32936 + 12.2761i 0.188590 + 0.534756i
\(528\) 4.67842i 0.203602i
\(529\) 5.69658 6.32669i 0.247677 0.275074i
\(530\) 2.14908 + 2.38679i 0.0933500 + 0.103676i
\(531\) 33.4365 3.51432i 1.45102 0.152509i
\(532\) −0.205462 −0.00890790
\(533\) −18.8554 + 26.5996i −0.816719 + 1.15216i
\(534\) 6.76728 4.91672i 0.292849 0.212767i
\(535\) 0.0493028 + 0.110736i 0.00213154 + 0.00478753i
\(536\) 31.3530 13.9593i 1.35425 0.602949i
\(537\) −16.7866 + 18.6434i −0.724394 + 0.804521i
\(538\) 4.27242 + 5.88049i 0.184197 + 0.253526i
\(539\) 3.69515 + 3.32713i 0.159162 + 0.143310i
\(540\) −0.0142051 0.0668296i −0.000611289 0.00287589i
\(541\) 0.606493 0.834766i 0.0260752 0.0358894i −0.795780 0.605585i \(-0.792939\pi\)
0.821856 + 0.569696i \(0.192939\pi\)
\(542\) 24.3230 5.17001i 1.04476 0.222071i
\(543\) 12.2255 + 13.5778i 0.524645 + 0.582678i
\(544\) 2.63551 + 5.91945i 0.112996 + 0.253794i
\(545\) −0.602037 + 1.85288i −0.0257884 + 0.0793686i
\(546\) −0.191524 + 0.613732i −0.00819649 + 0.0262653i
\(547\) −35.7858 + 25.9999i −1.53009 + 1.11168i −0.573902 + 0.818924i \(0.694571\pi\)
−0.956188 + 0.292752i \(0.905429\pi\)
\(548\) 1.34309 6.31875i 0.0573740 0.269924i
\(549\) −20.1303 + 8.96259i −0.859140 + 0.382514i
\(550\) −0.449051 + 4.27244i −0.0191476 + 0.182177i
\(551\) 16.2072 + 22.3072i 0.690448 + 0.950320i
\(552\) 35.7580 20.6449i 1.52196 0.878705i
\(553\) 0.365028 0.210749i 0.0155226 0.00896196i
\(554\) 8.40208 + 11.5645i 0.356970 + 0.491327i
\(555\) 3.44246 0.731717i 0.146124 0.0310597i
\(556\) 4.19320 + 0.891292i 0.177831 + 0.0377992i
\(557\) 2.39691 + 1.38385i 0.101560 + 0.0586358i 0.549920 0.835217i \(-0.314658\pi\)
−0.448360 + 0.893853i \(0.647992\pi\)
\(558\) 18.6996 2.43728i 0.791619 0.103178i
\(559\) 23.4563 10.7732i 0.992097 0.455657i
\(560\) 0.0125416 + 0.0385990i 0.000529978 + 0.00163110i
\(561\) −2.96566 + 2.67029i −0.125210 + 0.112740i
\(562\) 1.05759 + 10.0623i 0.0446116 + 0.424451i
\(563\) −4.08409 7.07385i −0.172124 0.298127i 0.767038 0.641601i \(-0.221730\pi\)
−0.939162 + 0.343474i \(0.888396\pi\)
\(564\) 2.77137i 0.116696i
\(565\) −0.0532475 + 0.119596i −0.00224014 + 0.00503143i
\(566\) 5.55277 + 0.583620i 0.233400 + 0.0245314i
\(567\) −0.343894 + 0.473329i −0.0144422 + 0.0198780i
\(568\) −7.56453 + 8.40126i −0.317401 + 0.352509i
\(569\) −1.65567 15.7526i −0.0694092 0.660384i −0.972813 0.231593i \(-0.925606\pi\)
0.903404 0.428791i \(-0.141060\pi\)
\(570\) −1.00345 + 4.72086i −0.0420298 + 0.197735i
\(571\) 13.6230 41.9274i 0.570106 1.75461i −0.0821618 0.996619i \(-0.526182\pi\)
0.652268 0.757988i \(-0.273818\pi\)
\(572\) 0.967943 + 0.851297i 0.0404717 + 0.0355945i
\(573\) 11.7932 36.2958i 0.492668 1.51628i
\(574\) 0.498938 0.449246i 0.0208253 0.0187512i
\(575\) 25.3364 11.2805i 1.05660 0.470429i
\(576\) 24.0250 5.10668i 1.00104 0.212778i
\(577\) −31.7615 + 10.3199i −1.32225 + 0.429624i −0.883266 0.468872i \(-0.844661\pi\)
−0.438981 + 0.898496i \(0.644661\pi\)
\(578\) −5.73981 + 12.8918i −0.238745 + 0.536229i
\(579\) 7.14318 + 6.43174i 0.296860 + 0.267294i
\(580\) −0.295575 + 0.406823i −0.0122731 + 0.0168924i
\(581\) 0.0246861 0.234873i 0.00102415 0.00974416i
\(582\) 1.34854 + 12.8305i 0.0558990 + 0.531843i
\(583\) −6.62117 3.82273i −0.274221 0.158321i
\(584\) 1.66817 0.0690292
\(585\) −2.12333 1.19308i −0.0877889 0.0493280i
\(586\) −8.70077 + 26.7782i −0.359426 + 1.10620i
\(587\) 6.53996 30.7681i 0.269933 1.26993i −0.609069 0.793117i \(-0.708457\pi\)
0.879002 0.476818i \(-0.158210\pi\)
\(588\) 4.22636 7.32027i 0.174292 0.301883i
\(589\) −35.9185 10.6900i −1.48000 0.440475i
\(590\) 3.62600i 0.149280i
\(591\) −11.0447 9.94471i −0.454319 0.409071i
\(592\) −3.42205 16.0995i −0.140645 0.661684i
\(593\) −15.7616 21.6939i −0.647250 0.890863i 0.351726 0.936103i \(-0.385595\pi\)
−0.998976 + 0.0452396i \(0.985595\pi\)
\(594\) −0.241992 0.419143i −0.00992906 0.0171976i
\(595\) −0.0173096 + 0.0299811i −0.000709625 + 0.00122911i
\(596\) 2.86570 0.301197i 0.117384 0.0123375i
\(597\) 37.8010 + 27.4641i 1.54709 + 1.12403i
\(598\) −4.86573 + 24.2815i −0.198974 + 0.992943i
\(599\) −4.47042 13.7585i −0.182656 0.562159i 0.817244 0.576292i \(-0.195501\pi\)
−0.999900 + 0.0141335i \(0.995501\pi\)
\(600\) 36.1390 3.79836i 1.47537 0.155068i
\(601\) −22.0692 4.69095i −0.900220 0.191348i −0.265519 0.964106i \(-0.585543\pi\)
−0.634701 + 0.772758i \(0.718877\pi\)
\(602\) −0.519899 + 0.110508i −0.0211895 + 0.00450397i
\(603\) 18.2348 25.0980i 0.742578 1.02207i
\(604\) 1.11110 + 5.22732i 0.0452101 + 0.212697i
\(605\) −0.532451 2.50499i −0.0216472 0.101842i
\(606\) −16.8427 + 23.1820i −0.684187 + 0.941703i
\(607\) 17.5308 3.72629i 0.711554 0.151245i 0.162106 0.986773i \(-0.448171\pi\)
0.549448 + 0.835528i \(0.314838\pi\)
\(608\) −18.2468 3.87848i −0.740006 0.157293i
\(609\) 0.593769 0.0624076i 0.0240607 0.00252888i
\(610\) −0.734385 2.26021i −0.0297344 0.0915131i
\(611\) −6.21045 5.46203i −0.251248 0.220970i
\(612\) 2.63393 + 1.91366i 0.106470 + 0.0773551i
\(613\) 8.46386 0.889588i 0.341852 0.0359301i 0.0679530 0.997689i \(-0.478353\pi\)
0.273899 + 0.961758i \(0.411687\pi\)
\(614\) 1.92271 3.33023i 0.0775942 0.134397i
\(615\) 2.64986 + 4.58970i 0.106853 + 0.185074i
\(616\) −0.0776320 0.106851i −0.00312788 0.00430516i
\(617\) −2.33722 10.9957i −0.0940928 0.442672i −0.999823 0.0188170i \(-0.994010\pi\)
0.905730 0.423855i \(-0.139323\pi\)
\(618\) −37.7996 34.0349i −1.52052 1.36909i
\(619\) 2.36024i 0.0948662i −0.998874 0.0474331i \(-0.984896\pi\)
0.998874 0.0474331i \(-0.0151041\pi\)
\(620\) −0.0170081 0.683241i −0.000683063 0.0274396i
\(621\) −1.56227 + 2.70592i −0.0626915 + 0.108585i
\(622\) −7.01577 + 33.0066i −0.281307 + 1.32344i
\(623\) −0.0533792 + 0.164284i −0.00213859 + 0.00658191i
\(624\) −11.6266 + 20.6918i −0.465436 + 0.828336i
\(625\) 24.1104 0.964415
\(626\) −6.40910 3.70029i −0.256159 0.147893i
\(627\) −1.20092 11.4260i −0.0479600 0.456309i
\(628\) 0.727777 6.92433i 0.0290415 0.276311i
\(629\) 8.25227 11.3583i 0.329040 0.452884i
\(630\) 0.0372706 + 0.0335586i 0.00148490 + 0.00133701i
\(631\) −5.12115 + 11.5023i −0.203870 + 0.457899i −0.986326 0.164807i \(-0.947300\pi\)
0.782456 + 0.622706i \(0.213967\pi\)
\(632\) 20.2309 6.57342i 0.804742 0.261477i
\(633\) −48.1401 + 10.2325i −1.91340 + 0.406705i
\(634\) 9.94144 4.42622i 0.394825 0.175788i
\(635\) −0.205794 + 0.185298i −0.00816670 + 0.00735333i
\(636\) −4.01627 + 12.3608i −0.159256 + 0.490139i
\(637\) 8.07458 + 23.8984i 0.319927 + 0.946887i
\(638\) −1.10077 + 3.38783i −0.0435800 + 0.134126i
\(639\) −2.12463 + 9.99558i −0.0840489 + 0.395419i
\(640\) 0.135511 + 1.28930i 0.00535653 + 0.0509640i
\(641\) −20.2009 + 22.4354i −0.797887 + 0.886144i −0.995560 0.0941244i \(-0.969995\pi\)
0.197673 + 0.980268i \(0.436662\pi\)
\(642\) 0.857988 1.18092i 0.0338621 0.0466071i
\(643\) 10.8754 + 1.14305i 0.428885 + 0.0450776i 0.316512 0.948589i \(-0.397488\pi\)
0.112373 + 0.993666i \(0.464155\pi\)
\(644\) −0.0696988 + 0.156546i −0.00274652 + 0.00616878i
\(645\) 4.19561i 0.165202i
\(646\) 9.62669 + 16.6739i 0.378757 + 0.656027i
\(647\) −3.81346 36.2826i −0.149922 1.42642i −0.768076 0.640359i \(-0.778786\pi\)
0.618153 0.786058i \(-0.287881\pi\)
\(648\) −21.9428 + 19.7574i −0.861996 + 0.776144i
\(649\) −2.66731 8.20913i −0.104701 0.322236i
\(650\) −12.6037 + 17.7803i −0.494359 + 0.697400i
\(651\) −0.589327 + 0.557806i −0.0230976 + 0.0218621i
\(652\) −0.122412 0.0706744i −0.00479401 0.00276782i
\(653\) 38.4104 + 8.16437i 1.50311 + 0.319497i 0.884627 0.466299i \(-0.154413\pi\)
0.618486 + 0.785796i \(0.287746\pi\)
\(654\) 22.9482 4.87780i 0.897347 0.190737i
\(655\) −1.23438 1.69898i −0.0482312 0.0663846i
\(656\) 21.4648 12.3927i 0.838059 0.483854i
\(657\) 1.30588 0.753949i 0.0509471 0.0294143i
\(658\) 0.100104 + 0.137781i 0.00390245 + 0.00537127i
\(659\) −4.25846 + 40.5165i −0.165886 + 1.57830i 0.522298 + 0.852763i \(0.325075\pi\)
−0.688184 + 0.725536i \(0.741592\pi\)
\(660\) 0.191412 0.0852221i 0.00745070 0.00331727i
\(661\) −2.57999 + 12.1379i −0.100350 + 0.472110i 0.899062 + 0.437822i \(0.144250\pi\)
−0.999412 + 0.0342884i \(0.989084\pi\)
\(662\) 2.13869 1.55385i 0.0831226 0.0603921i
\(663\) −19.7526 + 4.44010i −0.767129 + 0.172439i
\(664\) 3.68310 11.3354i 0.142932 0.439900i
\(665\) −0.0405380 0.0910499i −0.00157200 0.00353076i
\(666\) −13.6095 15.1148i −0.527356 0.585688i
\(667\) 22.4943 4.78132i 0.870984 0.185133i
\(668\) −5.96137 + 8.20513i −0.230652 + 0.317466i
\(669\) −13.7921 64.8868i −0.533234 2.50867i
\(670\) 2.48644 + 2.23880i 0.0960594 + 0.0864923i
\(671\) 3.32524 + 4.57680i 0.128369 + 0.176685i
\(672\) −0.270276 + 0.300172i −0.0104261 + 0.0115794i
\(673\) −1.20353 + 0.535845i −0.0463925 + 0.0206553i −0.429802 0.902923i \(-0.641417\pi\)
0.383409 + 0.923579i \(0.374750\pi\)
\(674\) −1.26558 2.84254i −0.0487483 0.109490i
\(675\) −2.22465 + 1.61630i −0.0856268 + 0.0622115i
\(676\) 2.16544 + 6.17063i 0.0832861 + 0.237332i
\(677\) −4.34904 −0.167147 −0.0835737 0.996502i \(-0.526633\pi\)
−0.0835737 + 0.996502i \(0.526633\pi\)
\(678\) 1.56785 0.164788i 0.0602129 0.00632863i
\(679\) −0.178268 0.197987i −0.00684132 0.00759805i
\(680\) −1.16907 + 1.29839i −0.0448319 + 0.0497909i
\(681\) 59.8405i 2.29309i
\(682\) −1.61021 4.56583i −0.0616582 0.174835i
\(683\) −13.7042 + 7.91212i −0.524377 + 0.302749i −0.738723 0.674009i \(-0.764571\pi\)
0.214347 + 0.976758i \(0.431238\pi\)
\(684\) −8.91423 + 2.89641i −0.340844 + 0.110747i
\(685\) 3.06513 0.651514i 0.117113 0.0248931i
\(686\) −0.108621 1.03346i −0.00414716 0.0394576i
\(687\) −47.5166 27.4337i −1.81287 1.04666i
\(688\) −19.6218 −0.748072
\(689\) −19.7842 33.3619i −0.753717 1.27099i
\(690\) 3.25653 + 2.36601i 0.123974 + 0.0900723i
\(691\) 16.2351 + 36.4647i 0.617614 + 1.38718i 0.903362 + 0.428878i \(0.141091\pi\)
−0.285749 + 0.958305i \(0.592242\pi\)
\(692\) −8.60794 1.82967i −0.327225 0.0695538i
\(693\) −0.109065 0.0485588i −0.00414303 0.00184460i
\(694\) −0.279902 + 0.0909457i −0.0106249 + 0.00345225i
\(695\) 0.432352 + 2.03406i 0.0164001 + 0.0771562i
\(696\) 29.9661 + 3.14957i 1.13586 + 0.119384i
\(697\) 20.1071 + 6.53321i 0.761612 + 0.247463i
\(698\) 39.0408 8.29838i 1.47772 0.314098i
\(699\) 36.2386 16.1344i 1.37067 0.610261i
\(700\) −0.112074 + 0.100912i −0.00423600 + 0.00381411i
\(701\) −0.600104 1.84693i −0.0226656 0.0697576i 0.939084 0.343688i \(-0.111676\pi\)
−0.961750 + 0.273930i \(0.911676\pi\)
\(702\) −0.0286544 2.45518i −0.00108149 0.0926649i
\(703\) 12.4902 + 38.4408i 0.471076 + 1.44982i
\(704\) −2.56482 5.76068i −0.0966653 0.217114i
\(705\) −1.22812 + 0.546796i −0.0462538 + 0.0205935i
\(706\) 3.70114 + 1.64785i 0.139294 + 0.0620177i
\(707\) 0.591733i 0.0222544i
\(708\) −12.7075 + 7.33665i −0.477575 + 0.275728i
\(709\) −6.79547 + 15.2629i −0.255209 + 0.573209i −0.995028 0.0995972i \(-0.968245\pi\)
0.739819 + 0.672806i \(0.234911\pi\)
\(710\) −1.04817 0.340571i −0.0393371 0.0127814i
\(711\) 12.8663 14.2894i 0.482523 0.535896i
\(712\) −4.35886 + 7.54976i −0.163355 + 0.282939i
\(713\) −20.3296 + 23.7407i −0.761350 + 0.889098i
\(714\) 0.416890 0.0156017
\(715\) −0.186273 + 0.596904i −0.00696622 + 0.0223229i
\(716\) 1.62374 4.99735i 0.0606819 0.186760i
\(717\) −24.6741 + 2.59335i −0.921470 + 0.0968504i
\(718\) 11.3295 19.6233i 0.422814 0.732335i
\(719\) 11.1165 + 19.2543i 0.414574 + 0.718063i 0.995384 0.0959763i \(-0.0305973\pi\)
−0.580810 + 0.814039i \(0.697264\pi\)
\(720\) 1.08826 + 1.49787i 0.0405572 + 0.0558222i
\(721\) 1.04463 + 0.109795i 0.0389039 + 0.00408897i
\(722\) −32.0063 3.36400i −1.19115 0.125195i
\(723\) −24.0092 + 7.80107i −0.892913 + 0.290125i
\(724\) −3.49597 1.55651i −0.129927 0.0578471i
\(725\) 19.7967 + 4.20791i 0.735230 + 0.156278i
\(726\) −22.9181 + 20.6355i −0.850570 + 0.765857i
\(727\) −23.1055 16.7871i −0.856936 0.622600i 0.0701139 0.997539i \(-0.477664\pi\)
−0.927050 + 0.374939i \(0.877664\pi\)
\(728\) −0.0778108 0.665512i −0.00288386 0.0246655i
\(729\) −7.00847 + 21.5698i −0.259573 + 0.798883i
\(730\) 0.0661465 + 0.148567i 0.00244819 + 0.00549873i
\(731\) −11.1995 12.4383i −0.414227 0.460045i
\(732\) 6.43505 7.14685i 0.237846 0.264155i
\(733\) 8.35636 + 11.5015i 0.308649 + 0.424819i 0.934959 0.354755i \(-0.115436\pi\)
−0.626310 + 0.779574i \(0.715436\pi\)
\(734\) −5.75452 5.18139i −0.212403 0.191249i
\(735\) 4.07782 + 0.428597i 0.150413 + 0.0158090i
\(736\) −9.14496 + 12.5870i −0.337088 + 0.463961i
\(737\) −7.27606 3.23951i −0.268017 0.119329i
\(738\) 15.3140 26.5246i 0.563717 0.976386i
\(739\) 9.12177 + 5.26646i 0.335550 + 0.193730i 0.658302 0.752754i \(-0.271275\pi\)
−0.322753 + 0.946483i \(0.604608\pi\)
\(740\) −0.596354 + 0.433277i −0.0219224 + 0.0159276i
\(741\) 23.0838 53.5195i 0.848006 1.96609i
\(742\) 0.246809 + 0.759600i 0.00906064 + 0.0278858i
\(743\) −33.0926 19.1060i −1.21405 0.700931i −0.250410 0.968140i \(-0.580565\pi\)
−0.963639 + 0.267209i \(0.913899\pi\)
\(744\) −34.9450 + 21.3523i −1.28115 + 0.782813i
\(745\) 0.698882 + 1.21050i 0.0256051 + 0.0443493i
\(746\) 2.81078 0.913279i 0.102910 0.0334375i
\(747\) −2.23997 10.5382i −0.0819564 0.385574i
\(748\) 0.339972 0.763590i 0.0124306 0.0279196i
\(749\) 0.0301436i 0.00110142i
\(750\) 3.56390 + 6.17286i 0.130135 + 0.225401i
\(751\) −0.229236 2.18104i −0.00836495 0.0795872i 0.989543 0.144238i \(-0.0460732\pi\)
−0.997908 + 0.0646512i \(0.979407\pi\)
\(752\) 2.55722 + 5.74361i 0.0932522 + 0.209448i
\(753\) 35.6978 + 25.9360i 1.30090 + 0.945160i
\(754\)