Properties

Label 29.2.d.a.20.1
Level 29
Weight 2
Character 29.20
Analytic conductor 0.232
Analytic rank 0
Dimension 6
CM No
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 29 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 29.d (of order \(7\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(0.231566165862\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{14})\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 20.1
Root \(-0.623490 + 0.781831i\)
Character \(\chi\) = 29.20
Dual form 29.2.d.a.16.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.400969 - 0.193096i) q^{2} +(-0.777479 - 0.974928i) q^{3} +(-1.12349 + 1.40881i) q^{4} +(-0.623490 + 0.300257i) q^{5} +(-0.500000 - 0.240787i) q^{6} +(0.222521 + 0.279032i) q^{7} +(-0.376510 + 1.64960i) q^{8} +(0.321552 - 1.40881i) q^{9} +O(q^{10})\) \(q+(0.400969 - 0.193096i) q^{2} +(-0.777479 - 0.974928i) q^{3} +(-1.12349 + 1.40881i) q^{4} +(-0.623490 + 0.300257i) q^{5} +(-0.500000 - 0.240787i) q^{6} +(0.222521 + 0.279032i) q^{7} +(-0.376510 + 1.64960i) q^{8} +(0.321552 - 1.40881i) q^{9} +(-0.192021 + 0.240787i) q^{10} +(-1.09903 - 4.81517i) q^{11} +2.24698 q^{12} +(1.25786 + 5.51107i) q^{13} +(0.143104 + 0.0689153i) q^{14} +(0.777479 + 0.374414i) q^{15} +(-0.634375 - 2.77938i) q^{16} +4.49396 q^{17} +(-0.143104 - 0.626980i) q^{18} +(-1.46950 + 1.84270i) q^{19} +(0.277479 - 1.21572i) q^{20} +(0.0990311 - 0.433884i) q^{21} +(-1.37047 - 1.71851i) q^{22} +(-2.06853 - 0.996152i) q^{23} +(1.90097 - 0.915458i) q^{24} +(-2.81886 + 3.53474i) q^{25} +(1.56853 + 1.96688i) q^{26} +(-4.99396 + 2.40496i) q^{27} -0.643104 q^{28} +(-5.09783 + 1.73553i) q^{29} +0.384043 q^{30} +(6.02930 - 2.90356i) q^{31} +(-2.90097 - 3.63770i) q^{32} +(-3.83997 + 4.81517i) q^{33} +(1.80194 - 0.867767i) q^{34} +(-0.222521 - 0.107160i) q^{35} +(1.62349 + 2.03579i) q^{36} +(1.09903 - 4.81517i) q^{37} +(-0.233406 + 1.02262i) q^{38} +(4.39493 - 5.51107i) q^{39} +(-0.260553 - 1.14156i) q^{40} +3.10992 q^{41} +(-0.0440730 - 0.193096i) q^{42} +(3.06853 + 1.47773i) q^{43} +(8.01842 + 3.86147i) q^{44} +(0.222521 + 0.974928i) q^{45} -1.02177 q^{46} +(1.43416 + 6.28345i) q^{47} +(-2.21648 + 2.77938i) q^{48} +(1.52930 - 6.70031i) q^{49} +(-0.447730 + 1.96163i) q^{50} +(-3.49396 - 4.38129i) q^{51} +(-9.17725 - 4.41953i) q^{52} +(4.22737 - 2.03579i) q^{53} +(-1.53803 + 1.92863i) q^{54} +(2.13102 + 2.67222i) q^{55} +(-0.544073 + 0.262012i) q^{56} +2.93900 q^{57} +(-1.70895 + 1.68027i) q^{58} -12.4940 q^{59} +(-1.40097 + 0.674671i) q^{60} +(-1.02446 - 1.28463i) q^{61} +(1.85690 - 2.32847i) q^{62} +(0.464656 - 0.223767i) q^{63} +(3.27144 + 1.57544i) q^{64} +(-2.43900 - 3.05841i) q^{65} +(-0.609916 + 2.67222i) q^{66} +(0.516926 - 2.26480i) q^{67} +(-5.04892 + 6.33114i) q^{68} +(0.637063 + 2.79116i) q^{69} -0.109916 q^{70} +(1.63222 + 7.15122i) q^{71} +(2.20291 + 1.06086i) q^{72} +(-5.06853 - 2.44088i) q^{73} +(-0.489115 - 2.14295i) q^{74} +5.63773 q^{75} +(-0.945042 - 4.14050i) q^{76} +(1.09903 - 1.37814i) q^{77} +(0.698062 - 3.05841i) q^{78} +(1.03803 - 4.54792i) q^{79} +(1.23005 + 1.54244i) q^{80} +(2.32155 + 1.11800i) q^{81} +(1.24698 - 0.600514i) q^{82} +(2.77748 - 3.48285i) q^{83} +(0.500000 + 0.626980i) q^{84} +(-2.80194 + 1.34934i) q^{85} +1.51573 q^{86} +(5.65548 + 3.62068i) q^{87} +8.35690 q^{88} +(5.11745 - 2.46443i) q^{89} +(0.277479 + 0.347948i) q^{90} +(-1.25786 + 1.57731i) q^{91} +(3.72737 - 1.79500i) q^{92} +(-7.51842 - 3.62068i) q^{93} +(1.78836 + 2.24254i) q^{94} +(0.362937 - 1.59013i) q^{95} +(-1.29105 + 5.65647i) q^{96} +(-0.112605 + 0.141202i) q^{97} +(-0.680604 - 2.98192i) q^{98} -7.13706 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 2q^{2} - 5q^{3} - 2q^{4} + q^{5} - 3q^{6} + q^{7} - 7q^{8} + 6q^{9} + O(q^{10}) \) \( 6q - 2q^{2} - 5q^{3} - 2q^{4} + q^{5} - 3q^{6} + q^{7} - 7q^{8} + 6q^{9} + 9q^{10} - 11q^{11} + 4q^{12} - 5q^{13} + 9q^{14} + 5q^{15} + 4q^{16} + 8q^{17} - 9q^{18} + q^{19} + 2q^{20} + 5q^{21} + 6q^{22} - 7q^{23} + 7q^{24} - 24q^{25} + 4q^{26} - 11q^{27} - 12q^{28} + 6q^{29} - 18q^{30} + 5q^{31} - 13q^{32} + q^{33} + 2q^{34} - q^{35} + 5q^{36} + 11q^{37} + 2q^{38} + 3q^{39} + 14q^{40} + 20q^{41} - 4q^{42} + 13q^{43} + 20q^{44} + q^{45} + 11q^{47} + 6q^{48} - 22q^{49} + q^{50} - 2q^{51} - 10q^{52} + 3q^{53} + 6q^{54} - 17q^{55} - 7q^{56} - 2q^{57} - 16q^{58} - 56q^{59} - 4q^{60} + 3q^{61} + 3q^{62} + 15q^{63} + q^{64} + 5q^{65} - 5q^{66} + 19q^{67} - 12q^{68} - 7q^{69} - 2q^{70} + 21q^{71} - 25q^{73} - 6q^{74} + 48q^{75} - 5q^{76} + 11q^{77} + 13q^{78} - 9q^{79} - 18q^{80} + 18q^{81} - 2q^{82} + 17q^{83} + 3q^{84} - 8q^{85} - 16q^{86} - 5q^{87} + 42q^{88} + 7q^{89} + 2q^{90} + 5q^{91} - 17q^{93} + 8q^{94} + 13q^{95} - 2q^{96} + q^{97} + 19q^{98} - 32q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.400969 0.193096i 0.283528 0.136540i −0.286715 0.958016i \(-0.592563\pi\)
0.570243 + 0.821476i \(0.306849\pi\)
\(3\) −0.777479 0.974928i −0.448878 0.562875i 0.504981 0.863130i \(-0.331499\pi\)
−0.953859 + 0.300256i \(0.902928\pi\)
\(4\) −1.12349 + 1.40881i −0.561745 + 0.704406i
\(5\) −0.623490 + 0.300257i −0.278833 + 0.134279i −0.568074 0.822977i \(-0.692311\pi\)
0.289241 + 0.957256i \(0.406597\pi\)
\(6\) −0.500000 0.240787i −0.204124 0.0983010i
\(7\) 0.222521 + 0.279032i 0.0841050 + 0.105464i 0.822104 0.569338i \(-0.192800\pi\)
−0.737999 + 0.674802i \(0.764229\pi\)
\(8\) −0.376510 + 1.64960i −0.133116 + 0.583221i
\(9\) 0.321552 1.40881i 0.107184 0.469604i
\(10\) −0.192021 + 0.240787i −0.0607225 + 0.0761436i
\(11\) −1.09903 4.81517i −0.331370 1.45183i −0.816479 0.577375i \(-0.804077\pi\)
0.485109 0.874454i \(-0.338780\pi\)
\(12\) 2.24698 0.648647
\(13\) 1.25786 + 5.51107i 0.348869 + 1.52849i 0.779753 + 0.626087i \(0.215345\pi\)
−0.430884 + 0.902407i \(0.641798\pi\)
\(14\) 0.143104 + 0.0689153i 0.0382462 + 0.0184184i
\(15\) 0.777479 + 0.374414i 0.200744 + 0.0966733i
\(16\) −0.634375 2.77938i −0.158594 0.694845i
\(17\) 4.49396 1.08995 0.544973 0.838454i \(-0.316540\pi\)
0.544973 + 0.838454i \(0.316540\pi\)
\(18\) −0.143104 0.626980i −0.0337300 0.147781i
\(19\) −1.46950 + 1.84270i −0.337127 + 0.422743i −0.921280 0.388900i \(-0.872855\pi\)
0.584153 + 0.811643i \(0.301427\pi\)
\(20\) 0.277479 1.21572i 0.0620462 0.271842i
\(21\) 0.0990311 0.433884i 0.0216104 0.0946812i
\(22\) −1.37047 1.71851i −0.292185 0.366388i
\(23\) −2.06853 0.996152i −0.431319 0.207712i 0.205611 0.978634i \(-0.434082\pi\)
−0.636930 + 0.770922i \(0.719796\pi\)
\(24\) 1.90097 0.915458i 0.388034 0.186867i
\(25\) −2.81886 + 3.53474i −0.563773 + 0.706949i
\(26\) 1.56853 + 1.96688i 0.307614 + 0.385736i
\(27\) −4.99396 + 2.40496i −0.961088 + 0.462836i
\(28\) −0.643104 −0.121535
\(29\) −5.09783 + 1.73553i −0.946644 + 0.322281i
\(30\) 0.384043 0.0701163
\(31\) 6.02930 2.90356i 1.08289 0.521495i 0.194654 0.980872i \(-0.437642\pi\)
0.888241 + 0.459377i \(0.151927\pi\)
\(32\) −2.90097 3.63770i −0.512824 0.643061i
\(33\) −3.83997 + 4.81517i −0.668453 + 0.838214i
\(34\) 1.80194 0.867767i 0.309030 0.148821i
\(35\) −0.222521 0.107160i −0.0376129 0.0181134i
\(36\) 1.62349 + 2.03579i 0.270582 + 0.339299i
\(37\) 1.09903 4.81517i 0.180680 0.791609i −0.800628 0.599162i \(-0.795501\pi\)
0.981307 0.192447i \(-0.0616424\pi\)
\(38\) −0.233406 + 1.02262i −0.0378635 + 0.165891i
\(39\) 4.39493 5.51107i 0.703752 0.882477i
\(40\) −0.260553 1.14156i −0.0411971 0.180496i
\(41\) 3.10992 0.485687 0.242844 0.970065i \(-0.421920\pi\)
0.242844 + 0.970065i \(0.421920\pi\)
\(42\) −0.0440730 0.193096i −0.00680061 0.0297954i
\(43\) 3.06853 + 1.47773i 0.467947 + 0.225351i 0.652971 0.757383i \(-0.273522\pi\)
−0.185025 + 0.982734i \(0.559236\pi\)
\(44\) 8.01842 + 3.86147i 1.20882 + 0.582138i
\(45\) 0.222521 + 0.974928i 0.0331715 + 0.145334i
\(46\) −1.02177 −0.150652
\(47\) 1.43416 + 6.28345i 0.209193 + 0.916536i 0.965105 + 0.261862i \(0.0843366\pi\)
−0.755912 + 0.654673i \(0.772806\pi\)
\(48\) −2.21648 + 2.77938i −0.319921 + 0.401169i
\(49\) 1.52930 6.70031i 0.218472 0.957188i
\(50\) −0.447730 + 1.96163i −0.0633186 + 0.277417i
\(51\) −3.49396 4.38129i −0.489252 0.613503i
\(52\) −9.17725 4.41953i −1.27266 0.612879i
\(53\) 4.22737 2.03579i 0.580673 0.279638i −0.120401 0.992725i \(-0.538418\pi\)
0.701075 + 0.713088i \(0.252704\pi\)
\(54\) −1.53803 + 1.92863i −0.209300 + 0.262453i
\(55\) 2.13102 + 2.67222i 0.287347 + 0.360322i
\(56\) −0.544073 + 0.262012i −0.0727048 + 0.0350128i
\(57\) 2.93900 0.389280
\(58\) −1.70895 + 1.68027i −0.224396 + 0.220630i
\(59\) −12.4940 −1.62657 −0.813287 0.581862i \(-0.802324\pi\)
−0.813287 + 0.581862i \(0.802324\pi\)
\(60\) −1.40097 + 0.674671i −0.180864 + 0.0870997i
\(61\) −1.02446 1.28463i −0.131168 0.164480i 0.711910 0.702271i \(-0.247830\pi\)
−0.843078 + 0.537791i \(0.819259\pi\)
\(62\) 1.85690 2.32847i 0.235826 0.295716i
\(63\) 0.464656 0.223767i 0.0585412 0.0281919i
\(64\) 3.27144 + 1.57544i 0.408930 + 0.196930i
\(65\) −2.43900 3.05841i −0.302521 0.379349i
\(66\) −0.609916 + 2.67222i −0.0750755 + 0.328927i
\(67\) 0.516926 2.26480i 0.0631526 0.276689i −0.933486 0.358614i \(-0.883249\pi\)
0.996639 + 0.0819245i \(0.0261066\pi\)
\(68\) −5.04892 + 6.33114i −0.612271 + 0.767764i
\(69\) 0.637063 + 2.79116i 0.0766934 + 0.336016i
\(70\) −0.109916 −0.0131375
\(71\) 1.63222 + 7.15122i 0.193709 + 0.848694i 0.974587 + 0.224010i \(0.0719148\pi\)
−0.780878 + 0.624683i \(0.785228\pi\)
\(72\) 2.20291 + 1.06086i 0.259615 + 0.125024i
\(73\) −5.06853 2.44088i −0.593227 0.285683i 0.113083 0.993586i \(-0.463927\pi\)
−0.706310 + 0.707903i \(0.749642\pi\)
\(74\) −0.489115 2.14295i −0.0568584 0.249113i
\(75\) 5.63773 0.650989
\(76\) −0.945042 4.14050i −0.108404 0.474948i
\(77\) 1.09903 1.37814i 0.125246 0.157054i
\(78\) 0.698062 3.05841i 0.0790400 0.346297i
\(79\) 1.03803 4.54792i 0.116788 0.511681i −0.882367 0.470563i \(-0.844051\pi\)
0.999154 0.0411178i \(-0.0130919\pi\)
\(80\) 1.23005 + 1.54244i 0.137524 + 0.172450i
\(81\) 2.32155 + 1.11800i 0.257950 + 0.124222i
\(82\) 1.24698 0.600514i 0.137706 0.0663156i
\(83\) 2.77748 3.48285i 0.304868 0.382292i −0.605671 0.795715i \(-0.707095\pi\)
0.910539 + 0.413423i \(0.135667\pi\)
\(84\) 0.500000 + 0.626980i 0.0545545 + 0.0684091i
\(85\) −2.80194 + 1.34934i −0.303913 + 0.146357i
\(86\) 1.51573 0.163445
\(87\) 5.65548 + 3.62068i 0.606331 + 0.388178i
\(88\) 8.35690 0.890848
\(89\) 5.11745 2.46443i 0.542449 0.261229i −0.142533 0.989790i \(-0.545525\pi\)
0.684981 + 0.728561i \(0.259810\pi\)
\(90\) 0.277479 + 0.347948i 0.0292489 + 0.0366769i
\(91\) −1.25786 + 1.57731i −0.131860 + 0.165347i
\(92\) 3.72737 1.79500i 0.388605 0.187142i
\(93\) −7.51842 3.62068i −0.779624 0.375447i
\(94\) 1.78836 + 2.24254i 0.184456 + 0.231300i
\(95\) 0.362937 1.59013i 0.0372365 0.163144i
\(96\) −1.29105 + 5.65647i −0.131768 + 0.577311i
\(97\) −0.112605 + 0.141202i −0.0114333 + 0.0143369i −0.787515 0.616295i \(-0.788633\pi\)
0.776082 + 0.630632i \(0.217204\pi\)
\(98\) −0.680604 2.98192i −0.0687514 0.301219i
\(99\) −7.13706 −0.717302
\(100\) −1.81282 7.94250i −0.181282 0.794250i
\(101\) −2.90970 1.40124i −0.289526 0.139428i 0.283484 0.958977i \(-0.408510\pi\)
−0.573009 + 0.819549i \(0.694224\pi\)
\(102\) −2.24698 1.08209i −0.222484 0.107143i
\(103\) 3.03803 + 13.3105i 0.299346 + 1.31152i 0.871104 + 0.491099i \(0.163405\pi\)
−0.571758 + 0.820423i \(0.693738\pi\)
\(104\) −9.56465 −0.937891
\(105\) 0.0685317 + 0.300257i 0.00668801 + 0.0293021i
\(106\) 1.30194 1.63258i 0.126455 0.158570i
\(107\) −3.61476 + 15.8373i −0.349452 + 1.53105i 0.428976 + 0.903316i \(0.358874\pi\)
−0.778428 + 0.627734i \(0.783983\pi\)
\(108\) 2.22252 9.73750i 0.213862 0.936991i
\(109\) 3.40850 + 4.27413i 0.326475 + 0.409387i 0.917798 0.397048i \(-0.129965\pi\)
−0.591323 + 0.806435i \(0.701394\pi\)
\(110\) 1.37047 + 0.659983i 0.130669 + 0.0629269i
\(111\) −5.54892 + 2.67222i −0.526680 + 0.253636i
\(112\) 0.634375 0.795481i 0.0599428 0.0751659i
\(113\) −6.65548 8.34571i −0.626095 0.785098i 0.363093 0.931753i \(-0.381721\pi\)
−0.989188 + 0.146655i \(0.953149\pi\)
\(114\) 1.17845 0.567511i 0.110372 0.0531522i
\(115\) 1.58881 0.148157
\(116\) 3.28232 9.13174i 0.304756 0.847861i
\(117\) 8.16852 0.755180
\(118\) −5.00969 + 2.41254i −0.461179 + 0.222092i
\(119\) 1.00000 + 1.25396i 0.0916698 + 0.114950i
\(120\) −0.910362 + 1.14156i −0.0831043 + 0.104210i
\(121\) −12.0673 + 5.81132i −1.09703 + 0.528302i
\(122\) −0.658834 0.317278i −0.0596480 0.0287250i
\(123\) −2.41789 3.03194i −0.218014 0.273381i
\(124\) −2.68329 + 11.7563i −0.240967 + 1.05574i
\(125\) 1.46615 6.42361i 0.131136 0.574546i
\(126\) 0.143104 0.179447i 0.0127487 0.0159864i
\(127\) 0.230718 + 1.01084i 0.0204729 + 0.0896976i 0.984132 0.177437i \(-0.0567805\pi\)
−0.963659 + 0.267134i \(0.913923\pi\)
\(128\) 10.9215 0.965337
\(129\) −0.945042 4.14050i −0.0832063 0.364551i
\(130\) −1.56853 0.755365i −0.137569 0.0662499i
\(131\) −7.22737 3.48052i −0.631458 0.304094i 0.0906414 0.995884i \(-0.471108\pi\)
−0.722099 + 0.691790i \(0.756823\pi\)
\(132\) −2.46950 10.8196i −0.214942 0.941724i
\(133\) −0.841166 −0.0729384
\(134\) −0.230054 1.00793i −0.0198736 0.0870720i
\(135\) 2.39158 2.99894i 0.205834 0.258108i
\(136\) −1.69202 + 7.41323i −0.145090 + 0.635679i
\(137\) −3.83459 + 16.8005i −0.327611 + 1.43536i 0.496058 + 0.868289i \(0.334780\pi\)
−0.823670 + 0.567070i \(0.808077\pi\)
\(138\) 0.794405 + 0.996152i 0.0676242 + 0.0847981i
\(139\) 15.0172 + 7.23191i 1.27374 + 0.613403i 0.943775 0.330589i \(-0.107247\pi\)
0.329969 + 0.943992i \(0.392962\pi\)
\(140\) 0.400969 0.193096i 0.0338881 0.0163196i
\(141\) 5.01089 6.28345i 0.421993 0.529162i
\(142\) 2.03534 + 2.55224i 0.170802 + 0.214179i
\(143\) 25.1543 12.1137i 2.10351 1.01300i
\(144\) −4.11960 −0.343300
\(145\) 2.65734 2.61275i 0.220680 0.216977i
\(146\) −2.50365 −0.207203
\(147\) −7.72132 + 3.71839i −0.636844 + 0.306688i
\(148\) 5.54892 + 6.95812i 0.456118 + 0.571954i
\(149\) 11.6012 14.5474i 0.950406 1.19177i −0.0309396 0.999521i \(-0.509850\pi\)
0.981346 0.192251i \(-0.0615786\pi\)
\(150\) 2.26055 1.08863i 0.184573 0.0888859i
\(151\) 6.78232 + 3.26619i 0.551938 + 0.265799i 0.688998 0.724764i \(-0.258051\pi\)
−0.137060 + 0.990563i \(0.543765\pi\)
\(152\) −2.48643 3.11788i −0.201676 0.252893i
\(153\) 1.44504 6.33114i 0.116825 0.511843i
\(154\) 0.174563 0.764811i 0.0140667 0.0616302i
\(155\) −2.88740 + 3.62068i −0.231921 + 0.290820i
\(156\) 2.82640 + 12.3833i 0.226293 + 0.991454i
\(157\) −18.2392 −1.45565 −0.727824 0.685764i \(-0.759468\pi\)
−0.727824 + 0.685764i \(0.759468\pi\)
\(158\) −0.461968 2.02401i −0.0367522 0.161022i
\(159\) −5.27144 2.53859i −0.418052 0.201323i
\(160\) 2.90097 + 1.39703i 0.229342 + 0.110445i
\(161\) −0.182333 0.798852i −0.0143698 0.0629584i
\(162\) 1.14675 0.0900973
\(163\) −2.81282 12.3238i −0.220317 0.965273i −0.957240 0.289296i \(-0.906579\pi\)
0.736922 0.675977i \(-0.236278\pi\)
\(164\) −3.49396 + 4.38129i −0.272832 + 0.342121i
\(165\) 0.948394 4.15519i 0.0738324 0.323481i
\(166\) 0.441157 1.93284i 0.0342404 0.150017i
\(167\) −0.496648 0.622776i −0.0384317 0.0481919i 0.762244 0.647290i \(-0.224098\pi\)
−0.800676 + 0.599098i \(0.795526\pi\)
\(168\) 0.678448 + 0.326723i 0.0523434 + 0.0252073i
\(169\) −17.0770 + 8.22386i −1.31362 + 0.632605i
\(170\) −0.862937 + 1.08209i −0.0661842 + 0.0829924i
\(171\) 2.12349 + 2.66277i 0.162387 + 0.203627i
\(172\) −5.52930 + 2.66277i −0.421605 + 0.203034i
\(173\) −9.15346 −0.695924 −0.347962 0.937509i \(-0.613126\pi\)
−0.347962 + 0.937509i \(0.613126\pi\)
\(174\) 2.96681 + 0.359726i 0.224913 + 0.0272708i
\(175\) −1.61356 −0.121974
\(176\) −12.6860 + 6.10925i −0.956242 + 0.460502i
\(177\) 9.71379 + 12.1807i 0.730133 + 0.915558i
\(178\) 1.57606 1.97632i 0.118131 0.148132i
\(179\) −3.06853 + 1.47773i −0.229353 + 0.110450i −0.545031 0.838416i \(-0.683482\pi\)
0.315678 + 0.948866i \(0.397768\pi\)
\(180\) −1.62349 0.781831i −0.121008 0.0582743i
\(181\) 7.90246 + 9.90937i 0.587385 + 0.736558i 0.983353 0.181707i \(-0.0581621\pi\)
−0.395967 + 0.918265i \(0.629591\pi\)
\(182\) −0.199791 + 0.875342i −0.0148095 + 0.0648847i
\(183\) −0.455927 + 1.99755i −0.0337031 + 0.147663i
\(184\) 2.42208 3.03719i 0.178558 0.223904i
\(185\) 0.760553 + 3.33220i 0.0559170 + 0.244988i
\(186\) −3.71379 −0.272308
\(187\) −4.93900 21.6392i −0.361176 1.58241i
\(188\) −10.4635 5.03894i −0.763126 0.367502i
\(189\) −1.78232 0.858322i −0.129645 0.0624337i
\(190\) −0.161522 0.707674i −0.0117180 0.0513401i
\(191\) −10.6703 −0.772072 −0.386036 0.922484i \(-0.626156\pi\)
−0.386036 + 0.922484i \(0.626156\pi\)
\(192\) −1.00753 4.41429i −0.0727124 0.318574i
\(193\) 14.1712 17.7701i 1.02007 1.27912i 0.0603421 0.998178i \(-0.480781\pi\)
0.959724 0.280945i \(-0.0906477\pi\)
\(194\) −0.0178854 + 0.0783611i −0.00128410 + 0.00562600i
\(195\) −1.08546 + 4.75570i −0.0777312 + 0.340563i
\(196\) 7.72132 + 9.68223i 0.551523 + 0.691588i
\(197\) 17.6211 + 8.48587i 1.25545 + 0.604593i 0.938968 0.344005i \(-0.111784\pi\)
0.316483 + 0.948598i \(0.397498\pi\)
\(198\) −2.86174 + 1.37814i −0.203375 + 0.0979402i
\(199\) −0.545565 + 0.684117i −0.0386741 + 0.0484958i −0.800792 0.598942i \(-0.795588\pi\)
0.762118 + 0.647438i \(0.224159\pi\)
\(200\) −4.76958 5.98086i −0.337260 0.422911i
\(201\) −2.60992 + 1.25687i −0.184089 + 0.0886527i
\(202\) −1.43727 −0.101126
\(203\) −1.61865 1.03627i −0.113607 0.0727318i
\(204\) 10.0978 0.706990
\(205\) −1.93900 + 0.933774i −0.135426 + 0.0652176i
\(206\) 3.78836 + 4.75046i 0.263948 + 0.330980i
\(207\) −2.06853 + 2.59386i −0.143773 + 0.180286i
\(208\) 14.5194 6.99216i 1.00674 0.484819i
\(209\) 10.4879 + 5.05072i 0.725464 + 0.349365i
\(210\) 0.0854576 + 0.107160i 0.00589713 + 0.00739477i
\(211\) 4.06518 17.8107i 0.279858 1.22614i −0.618114 0.786088i \(-0.712103\pi\)
0.897972 0.440052i \(-0.145040\pi\)
\(212\) −1.88135 + 8.24275i −0.129212 + 0.566115i
\(213\) 5.70291 7.15122i 0.390757 0.489993i
\(214\) 1.60872 + 7.04826i 0.109970 + 0.481809i
\(215\) −2.35690 −0.160739
\(216\) −2.08695 9.14352i −0.141999 0.622138i
\(217\) 2.15183 + 1.03627i 0.146076 + 0.0703465i
\(218\) 2.19202 + 1.05562i 0.148462 + 0.0714957i
\(219\) 1.56100 + 6.83918i 0.105483 + 0.462149i
\(220\) −6.15883 −0.415228
\(221\) 5.65279 + 24.7665i 0.380248 + 1.66598i
\(222\) −1.70895 + 2.14295i −0.114697 + 0.143826i
\(223\) 0.404617 1.77274i 0.0270951 0.118712i −0.959572 0.281464i \(-0.909180\pi\)
0.986667 + 0.162752i \(0.0520372\pi\)
\(224\) 0.369510 1.61893i 0.0246889 0.108169i
\(225\) 4.07338 + 5.10785i 0.271558 + 0.340523i
\(226\) −4.28017 2.06122i −0.284713 0.137110i
\(227\) 12.4840 6.01199i 0.828594 0.399030i 0.0290066 0.999579i \(-0.490766\pi\)
0.799588 + 0.600549i \(0.205051\pi\)
\(228\) −3.30194 + 4.14050i −0.218676 + 0.274211i
\(229\) −7.96346 9.98586i −0.526240 0.659884i 0.445681 0.895192i \(-0.352962\pi\)
−0.971921 + 0.235308i \(0.924390\pi\)
\(230\) 0.637063 0.306794i 0.0420067 0.0202294i
\(231\) −2.19806 −0.144622
\(232\) −0.943550 9.06283i −0.0619471 0.595004i
\(233\) −8.86592 −0.580826 −0.290413 0.956901i \(-0.593793\pi\)
−0.290413 + 0.956901i \(0.593793\pi\)
\(234\) 3.27532 1.57731i 0.214115 0.103112i
\(235\) −2.78083 3.48705i −0.181401 0.227470i
\(236\) 14.0368 17.6016i 0.913720 1.14577i
\(237\) −5.24094 + 2.52390i −0.340436 + 0.163945i
\(238\) 0.643104 + 0.309703i 0.0416862 + 0.0200750i
\(239\) −15.9393 19.9872i −1.03103 1.29287i −0.955268 0.295741i \(-0.904433\pi\)
−0.0757593 0.997126i \(-0.524138\pi\)
\(240\) 0.547425 2.39843i 0.0353362 0.154818i
\(241\) −2.16541 + 9.48727i −0.139486 + 0.611129i 0.856062 + 0.516873i \(0.172904\pi\)
−0.995548 + 0.0942554i \(0.969953\pi\)
\(242\) −3.71648 + 4.66032i −0.238904 + 0.299577i
\(243\) 2.98523 + 13.0791i 0.191503 + 0.839028i
\(244\) 2.96077 0.189544
\(245\) 1.05831 + 4.63676i 0.0676130 + 0.296232i
\(246\) −1.55496 0.748828i −0.0991405 0.0477436i
\(247\) −12.0036 5.78065i −0.763774 0.367814i
\(248\) 2.51961 + 11.0392i 0.159996 + 0.700987i
\(249\) −5.55496 −0.352031
\(250\) −0.652497 2.85878i −0.0412676 0.180805i
\(251\) −6.08546 + 7.63092i −0.384111 + 0.481660i −0.935871 0.352343i \(-0.885385\pi\)
0.551760 + 0.834003i \(0.313956\pi\)
\(252\) −0.206791 + 0.906013i −0.0130266 + 0.0570734i
\(253\) −2.52326 + 11.0551i −0.158636 + 0.695030i
\(254\) 0.287700 + 0.360765i 0.0180519 + 0.0226364i
\(255\) 3.49396 + 1.68260i 0.218800 + 0.105369i
\(256\) −2.16368 + 1.04197i −0.135230 + 0.0651233i
\(257\) 10.1984 12.7883i 0.636156 0.797714i −0.354360 0.935109i \(-0.615301\pi\)
0.990516 + 0.137394i \(0.0438728\pi\)
\(258\) −1.17845 1.47773i −0.0733670 0.0919993i
\(259\) 1.58815 0.764811i 0.0986826 0.0475230i
\(260\) 7.04892 0.437155
\(261\) 0.805823 + 7.73995i 0.0498792 + 0.479091i
\(262\) −3.57002 −0.220557
\(263\) −21.3741 + 10.2932i −1.31798 + 0.634708i −0.954867 0.297035i \(-0.904002\pi\)
−0.363118 + 0.931743i \(0.618288\pi\)
\(264\) −6.49731 8.14737i −0.399882 0.501436i
\(265\) −2.02446 + 2.53859i −0.124362 + 0.155944i
\(266\) −0.337282 + 0.162426i −0.0206801 + 0.00995899i
\(267\) −6.38135 3.07310i −0.390533 0.188071i
\(268\) 2.60992 + 3.27273i 0.159426 + 0.199914i
\(269\) −5.64191 + 24.7188i −0.343993 + 1.50713i 0.446568 + 0.894750i \(0.352646\pi\)
−0.790561 + 0.612383i \(0.790211\pi\)
\(270\) 0.379863 1.66429i 0.0231177 0.101285i
\(271\) −0.750332 + 0.940887i −0.0455794 + 0.0571548i −0.804099 0.594496i \(-0.797352\pi\)
0.758519 + 0.651651i \(0.225923\pi\)
\(272\) −2.85086 12.4904i −0.172858 0.757342i
\(273\) 2.51573 0.152259
\(274\) 1.70655 + 7.47690i 0.103097 + 0.451696i
\(275\) 20.1184 + 9.68851i 1.21319 + 0.584239i
\(276\) −4.64795 2.23833i −0.279774 0.134732i
\(277\) −2.37316 10.3975i −0.142589 0.624724i −0.994828 0.101572i \(-0.967613\pi\)
0.852239 0.523153i \(-0.175244\pi\)
\(278\) 7.41789 0.444896
\(279\) −2.15183 9.42780i −0.128827 0.564427i
\(280\) 0.260553 0.326723i 0.0155710 0.0195255i
\(281\) 3.62253 15.8713i 0.216102 0.946805i −0.744225 0.667929i \(-0.767181\pi\)
0.960327 0.278876i \(-0.0899618\pi\)
\(282\) 0.795897 3.48705i 0.0473950 0.207651i
\(283\) −3.27144 4.10225i −0.194467 0.243854i 0.675032 0.737788i \(-0.264130\pi\)
−0.869499 + 0.493935i \(0.835558\pi\)
\(284\) −11.9085 5.73483i −0.706640 0.340300i
\(285\) −1.83244 + 0.882455i −0.108544 + 0.0522721i
\(286\) 7.74698 9.71441i 0.458089 0.574425i
\(287\) 0.692021 + 0.867767i 0.0408487 + 0.0512227i
\(288\) −6.05765 + 2.91721i −0.356950 + 0.171898i
\(289\) 3.19567 0.187981
\(290\) 0.560999 1.56075i 0.0329430 0.0916506i
\(291\) 0.225209 0.0132020
\(292\) 9.13318 4.39831i 0.534479 0.257391i
\(293\) 4.21714 + 5.28813i 0.246368 + 0.308936i 0.889604 0.456732i \(-0.150980\pi\)
−0.643236 + 0.765668i \(0.722409\pi\)
\(294\) −2.37800 + 2.98192i −0.138688 + 0.173909i
\(295\) 7.78986 3.75140i 0.453543 0.218415i
\(296\) 7.52930 + 3.62592i 0.437632 + 0.210752i
\(297\) 17.0688 + 21.4036i 0.990434 + 1.24196i
\(298\) 1.84266 8.07321i 0.106742 0.467669i
\(299\) 2.88793 12.6528i 0.167013 0.731733i
\(300\) −6.33393 + 7.94250i −0.365690 + 0.458560i
\(301\) 0.270479 + 1.18505i 0.0155901 + 0.0683049i
\(302\) 3.35019 0.192782
\(303\) 0.896125 + 3.92618i 0.0514810 + 0.225553i
\(304\) 6.05376 + 2.91534i 0.347207 + 0.167206i
\(305\) 1.02446 + 0.493353i 0.0586603 + 0.0282493i
\(306\) −0.643104 2.81762i −0.0367638 0.161073i
\(307\) 4.51812 0.257863 0.128931 0.991654i \(-0.458845\pi\)
0.128931 + 0.991654i \(0.458845\pi\)
\(308\) 0.706791 + 3.09666i 0.0402732 + 0.176448i
\(309\) 10.6148 13.3105i 0.603853 0.757207i
\(310\) −0.458615 + 2.00933i −0.0260476 + 0.114122i
\(311\) 2.80745 12.3002i 0.159196 0.697482i −0.830822 0.556538i \(-0.812129\pi\)
0.990018 0.140944i \(-0.0450136\pi\)
\(312\) 7.43631 + 9.32484i 0.420998 + 0.527915i
\(313\) −17.3349 8.34804i −0.979826 0.471859i −0.125781 0.992058i \(-0.540144\pi\)
−0.854045 + 0.520199i \(0.825858\pi\)
\(314\) −7.31336 + 3.52193i −0.412717 + 0.198754i
\(315\) −0.222521 + 0.279032i −0.0125376 + 0.0157217i
\(316\) 5.24094 + 6.57193i 0.294826 + 0.369700i
\(317\) −2.58426 + 1.24451i −0.145147 + 0.0698989i −0.505047 0.863092i \(-0.668525\pi\)
0.359901 + 0.932991i \(0.382811\pi\)
\(318\) −2.60388 −0.146018
\(319\) 13.9596 + 22.6395i 0.781586 + 1.26757i
\(320\) −2.51275 −0.140467
\(321\) 18.2506 8.78904i 1.01865 0.490556i
\(322\) −0.227365 0.285107i −0.0126706 0.0158884i
\(323\) −6.60388 + 8.28100i −0.367449 + 0.460767i
\(324\) −4.18329 + 2.01457i −0.232405 + 0.111920i
\(325\) −23.0260 11.0887i −1.27725 0.615091i
\(326\) −3.50753 4.39831i −0.194264 0.243600i
\(327\) 1.51693 6.64609i 0.0838862 0.367529i
\(328\) −1.17092 + 5.13011i −0.0646530 + 0.283263i
\(329\) −1.43416 + 1.79838i −0.0790676 + 0.0991477i
\(330\) −0.422075 1.84923i −0.0232345 0.101797i
\(331\) 3.13408 0.172265 0.0861323 0.996284i \(-0.472549\pi\)
0.0861323 + 0.996284i \(0.472549\pi\)
\(332\) 1.78621 + 7.82589i 0.0980309 + 0.429501i
\(333\) −6.43027 3.09666i −0.352377 0.169696i
\(334\) −0.319396 0.153813i −0.0174766 0.00841628i
\(335\) 0.357724 + 1.56729i 0.0195445 + 0.0856302i
\(336\) −1.26875 −0.0692160
\(337\) −1.10872 4.85762i −0.0603958 0.264611i 0.935711 0.352768i \(-0.114760\pi\)
−0.996107 + 0.0881567i \(0.971902\pi\)
\(338\) −5.25936 + 6.59502i −0.286071 + 0.358722i
\(339\) −2.96197 + 12.9772i −0.160872 + 0.704826i
\(340\) 1.24698 5.46337i 0.0676270 0.296293i
\(341\) −20.6075 25.8410i −1.11596 1.39937i
\(342\) 1.36563 + 0.657650i 0.0738445 + 0.0355617i
\(343\) 4.46077 2.14819i 0.240859 0.115992i
\(344\) −3.59299 + 4.50547i −0.193721 + 0.242919i
\(345\) −1.23527 1.54898i −0.0665045 0.0833940i
\(346\) −3.67025 + 1.76750i −0.197314 + 0.0950214i
\(347\) 20.1172 1.07995 0.539974 0.841682i \(-0.318434\pi\)
0.539974 + 0.841682i \(0.318434\pi\)
\(348\) −11.4547 + 3.89971i −0.614038 + 0.209046i
\(349\) 20.4892 1.09676 0.548380 0.836229i \(-0.315245\pi\)
0.548380 + 0.836229i \(0.315245\pi\)
\(350\) −0.646989 + 0.311573i −0.0345830 + 0.0166543i
\(351\) −19.5356 24.4969i −1.04274 1.30755i
\(352\) −14.3279 + 17.9666i −0.763679 + 0.957623i
\(353\) −16.2153 + 7.80887i −0.863052 + 0.415624i −0.812406 0.583092i \(-0.801843\pi\)
−0.0506467 + 0.998717i \(0.516128\pi\)
\(354\) 6.24698 + 3.00839i 0.332023 + 0.159894i
\(355\) −3.16487 3.96863i −0.167974 0.210633i
\(356\) −2.27748 + 9.97829i −0.120706 + 0.528848i
\(357\) 0.445042 1.94986i 0.0235541 0.103197i
\(358\) −0.945042 + 1.18505i −0.0499470 + 0.0626316i
\(359\) −5.25786 23.0362i −0.277499 1.21580i −0.900943 0.433937i \(-0.857124\pi\)
0.623444 0.781868i \(-0.285733\pi\)
\(360\) −1.69202 −0.0891774
\(361\) 2.99180 + 13.1079i 0.157463 + 0.689892i
\(362\) 5.08211 + 2.44741i 0.267110 + 0.128633i
\(363\) 15.0477 + 7.24660i 0.789801 + 0.380348i
\(364\) −0.808938 3.54419i −0.0423999 0.185766i
\(365\) 3.89307 0.203772
\(366\) 0.202907 + 0.888992i 0.0106061 + 0.0464684i
\(367\) −18.4822 + 23.1759i −0.964762 + 1.20977i 0.0129705 + 0.999916i \(0.495871\pi\)
−0.977732 + 0.209857i \(0.932700\pi\)
\(368\) −1.45646 + 6.38117i −0.0759232 + 0.332641i
\(369\) 1.00000 4.38129i 0.0520579 0.228081i
\(370\) 0.948394 + 1.18925i 0.0493047 + 0.0618261i
\(371\) 1.50873 + 0.726566i 0.0783293 + 0.0377214i
\(372\) 13.5477 6.52424i 0.702417 0.338266i
\(373\) −15.7044 + 19.6927i −0.813143 + 1.01965i 0.186167 + 0.982518i \(0.440393\pi\)
−0.999310 + 0.0371310i \(0.988178\pi\)
\(374\) −6.15883 7.72293i −0.318466 0.399343i
\(375\) −7.40246 + 3.56484i −0.382261 + 0.184087i
\(376\) −10.9051 −0.562390
\(377\) −15.9770 25.9114i −0.822859 1.33451i
\(378\) −0.880395 −0.0452826
\(379\) 24.2424 11.6745i 1.24525 0.599681i 0.309016 0.951057i \(-0.400000\pi\)
0.936234 + 0.351376i \(0.114286\pi\)
\(380\) 1.83244 + 2.29780i 0.0940020 + 0.117875i
\(381\) 0.806118 1.01084i 0.0412987 0.0517869i
\(382\) −4.27844 + 2.06039i −0.218904 + 0.105419i
\(383\) 17.7213 + 8.53414i 0.905517 + 0.436074i 0.827879 0.560907i \(-0.189548\pi\)
0.0776388 + 0.996982i \(0.475262\pi\)
\(384\) −8.49127 10.6477i −0.433318 0.543364i
\(385\) −0.271438 + 1.18925i −0.0138338 + 0.0606097i
\(386\) 2.25086 9.86168i 0.114566 0.501946i
\(387\) 3.06853 3.84782i 0.155982 0.195596i
\(388\) −0.0724165 0.317278i −0.00367639 0.0161073i
\(389\) 24.8552 1.26021 0.630103 0.776511i \(-0.283012\pi\)
0.630103 + 0.776511i \(0.283012\pi\)
\(390\) 0.483074 + 2.11649i 0.0244614 + 0.107172i
\(391\) −9.29590 4.47667i −0.470114 0.226395i
\(392\) 10.4770 + 5.04547i 0.529170 + 0.254835i
\(393\) 2.22587 + 9.75219i 0.112280 + 0.491933i
\(394\) 8.70410 0.438506
\(395\) 0.718341 + 3.14726i 0.0361436 + 0.158356i
\(396\) 8.01842 10.0548i 0.402941 0.505272i
\(397\) 0.888887 3.89447i 0.0446120 0.195458i −0.947711 0.319129i \(-0.896610\pi\)
0.992323 + 0.123671i \(0.0394668\pi\)
\(398\) −0.0866540 + 0.379656i −0.00434357 + 0.0190304i
\(399\) 0.653989 + 0.820077i 0.0327404 + 0.0410552i
\(400\) 11.6126 + 5.59234i 0.580630 + 0.279617i
\(401\) 22.4405 10.8068i 1.12062 0.539664i 0.220539 0.975378i \(-0.429218\pi\)
0.900085 + 0.435714i \(0.143504\pi\)
\(402\) −0.803798 + 1.00793i −0.0400898 + 0.0502710i
\(403\) 23.5858 + 29.5756i 1.17489 + 1.47327i
\(404\) 5.24309 2.52494i 0.260854 0.125621i
\(405\) −1.78315 −0.0886055
\(406\) −0.849126 0.102957i −0.0421414 0.00510965i
\(407\) −24.3937 −1.20915
\(408\) 8.54288 4.11403i 0.422935 0.203675i
\(409\) 0.176587 + 0.221434i 0.00873169 + 0.0109492i 0.786178 0.618000i \(-0.212057\pi\)
−0.777446 + 0.628949i \(0.783485\pi\)
\(410\) −0.597171 + 0.748828i −0.0294922 + 0.0369820i
\(411\) 19.3605 9.32355i 0.954985 0.459897i
\(412\) −22.1652 10.6742i −1.09200 0.525879i
\(413\) −2.78017 3.48622i −0.136803 0.171546i
\(414\) −0.328552 + 1.43948i −0.0161475 + 0.0707467i
\(415\) −0.685981 + 3.00548i −0.0336735 + 0.147533i
\(416\) 16.3986 20.5632i 0.804006 1.00819i
\(417\) −4.62498 20.2634i −0.226486 0.992301i
\(418\) 5.18060 0.253392
\(419\) 5.89426 + 25.8245i 0.287954 + 1.26161i 0.887328 + 0.461139i \(0.152559\pi\)
−0.599374 + 0.800469i \(0.704584\pi\)
\(420\) −0.500000 0.240787i −0.0243975 0.0117492i
\(421\) 15.8409 + 7.62859i 0.772040 + 0.371795i 0.778062 0.628187i \(-0.216203\pi\)
−0.00602261 + 0.999982i \(0.501917\pi\)
\(422\) −1.80917 7.92651i −0.0880693 0.385857i
\(423\) 9.31336 0.452831
\(424\) 1.76659 + 7.73995i 0.0857934 + 0.375885i
\(425\) −12.6679 + 15.8850i −0.614481 + 0.770535i
\(426\) 0.905813 3.96863i 0.0438868 0.192281i
\(427\) 0.130490 0.571714i 0.00631486 0.0276672i
\(428\) −18.2506 22.8856i −0.882177 1.10622i
\(429\) −31.3669 15.1055i −1.51441 0.729300i
\(430\) −0.945042 + 0.455108i −0.0455740 + 0.0219473i
\(431\) −17.3300 + 21.7312i −0.834759 + 1.04675i 0.163428 + 0.986555i \(0.447745\pi\)
−0.998186 + 0.0601992i \(0.980826\pi\)
\(432\) 9.85235 + 12.3545i 0.474021 + 0.594404i
\(433\) −5.29374 + 2.54933i −0.254401 + 0.122513i −0.556738 0.830688i \(-0.687947\pi\)
0.302337 + 0.953201i \(0.402233\pi\)
\(434\) 1.06292 0.0510217
\(435\) −4.61327 0.559360i −0.221189 0.0268192i
\(436\) −9.85086 −0.471770
\(437\) 4.87531 2.34783i 0.233218 0.112312i
\(438\) 1.94653 + 2.44088i 0.0930090 + 0.116630i
\(439\) −9.81431 + 12.3068i −0.468412 + 0.587370i −0.958781 0.284145i \(-0.908290\pi\)
0.490370 + 0.871515i \(0.336862\pi\)
\(440\) −5.21044 + 2.50922i −0.248398 + 0.119622i
\(441\) −8.94773 4.30900i −0.426082 0.205190i
\(442\) 7.04892 + 8.83906i 0.335283 + 0.420431i
\(443\) −1.49947 + 6.56960i −0.0712419 + 0.312131i −0.997976 0.0635859i \(-0.979746\pi\)
0.926735 + 0.375717i \(0.122603\pi\)
\(444\) 2.46950 10.8196i 0.117197 0.513475i
\(445\) −2.45071 + 3.07310i −0.116175 + 0.145679i
\(446\) −0.180071 0.788944i −0.00852663 0.0373576i
\(447\) −23.2024 −1.09743
\(448\) 0.288364 + 1.26341i 0.0136239 + 0.0596903i
\(449\) −11.1000 5.34547i −0.523841 0.252269i 0.153224 0.988191i \(-0.451034\pi\)
−0.677065 + 0.735923i \(0.736749\pi\)
\(450\) 2.61960 + 1.26154i 0.123489 + 0.0594693i
\(451\) −3.41789 14.9748i −0.160942 0.705135i
\(452\) 19.2349 0.904733
\(453\) −2.08881 9.15167i −0.0981409 0.429983i
\(454\) 3.84481 4.82124i 0.180446 0.226272i
\(455\) 0.310667 1.36112i 0.0145643 0.0638103i
\(456\) −1.10656 + 4.84817i −0.0518196 + 0.227037i
\(457\) 8.51842 + 10.6818i 0.398475 + 0.499672i 0.940076 0.340964i \(-0.110753\pi\)
−0.541602 + 0.840635i \(0.682182\pi\)
\(458\) −5.12133 2.46630i −0.239304 0.115243i
\(459\) −22.4426 + 10.8078i −1.04753 + 0.504465i
\(460\) −1.78501 + 2.23833i −0.0832266 + 0.104363i
\(461\) 7.23759 + 9.07565i 0.337088 + 0.422695i 0.921268 0.388929i \(-0.127155\pi\)
−0.584180 + 0.811624i \(0.698584\pi\)
\(462\) −0.881355 + 0.424438i −0.0410043 + 0.0197466i
\(463\) −7.24267 −0.336595 −0.168298 0.985736i \(-0.553827\pi\)
−0.168298 + 0.985736i \(0.553827\pi\)
\(464\) 8.05765 + 13.0678i 0.374067 + 0.606659i
\(465\) 5.77479 0.267800
\(466\) −3.55496 + 1.71198i −0.164680 + 0.0793058i
\(467\) −1.28650 1.61322i −0.0595323 0.0746511i 0.751174 0.660104i \(-0.229488\pi\)
−0.810706 + 0.585453i \(0.800917\pi\)
\(468\) −9.17725 + 11.5079i −0.424219 + 0.531953i
\(469\) 0.746980 0.359726i 0.0344923 0.0166106i
\(470\) −1.78836 0.861231i −0.0824911 0.0397256i
\(471\) 14.1806 + 17.7819i 0.653408 + 0.819347i
\(472\) 4.70410 20.6100i 0.216524 0.948653i
\(473\) 3.74309 16.3996i 0.172108 0.754053i
\(474\) −1.61410 + 2.02401i −0.0741379 + 0.0929660i
\(475\) −2.37113 10.3886i −0.108795 0.476662i
\(476\) −2.89008 −0.132467
\(477\) −1.50873 6.61017i −0.0690800 0.302659i
\(478\) −10.2506 4.93644i −0.468853 0.225788i
\(479\) 3.50388 + 1.68738i 0.160097 + 0.0770985i 0.512216 0.858857i \(-0.328825\pi\)
−0.352120 + 0.935955i \(0.614539\pi\)
\(480\) −0.893436 3.91440i −0.0407796 0.178667i
\(481\) 27.9191 1.27300
\(482\) 0.963697 + 4.22223i 0.0438952 + 0.192317i
\(483\) −0.637063 + 0.798852i −0.0289874 + 0.0363490i
\(484\) 5.37047 23.5296i 0.244112 1.06953i
\(485\) 0.0278111 0.121848i 0.00126284 0.00553284i
\(486\) 3.72252 + 4.66789i 0.168857 + 0.211740i
\(487\) −8.87047 4.27179i −0.401959 0.193573i 0.221971 0.975053i \(-0.428751\pi\)
−0.623931 + 0.781480i \(0.714465\pi\)
\(488\) 2.50484 1.20627i 0.113389 0.0546053i
\(489\) −9.82789 + 12.3238i −0.444432 + 0.557301i
\(490\) 1.31969 + 1.65484i 0.0596176 + 0.0747581i
\(491\) −7.01961 + 3.38047i −0.316791 + 0.152558i −0.585521 0.810657i \(-0.699110\pi\)
0.268731 + 0.963215i \(0.413396\pi\)
\(492\) 6.98792 0.315040
\(493\) −22.9095 + 7.79942i −1.03179 + 0.351268i
\(494\) −5.92931 −0.266772
\(495\) 4.44989 2.14295i 0.200008 0.0963185i
\(496\) −11.8949 14.9158i −0.534098 0.669738i
\(497\) −1.63222 + 2.04674i −0.0732150 + 0.0918087i
\(498\) −2.22737 + 1.07264i −0.0998106 + 0.0480663i
\(499\) 18.5286 + 8.92292i 0.829456 + 0.399445i 0.799911 0.600119i \(-0.204880\pi\)
0.0295448 + 0.999563i \(0.490594\pi\)
\(500\) 7.40246 + 9.28239i 0.331048 + 0.415121i
\(501\) −0.221029 + 0.968391i −0.00987485 + 0.0432645i
\(502\) −0.966575 + 4.23484i −0.0431404 + 0.189010i
\(503\) 5.13437 6.43830i 0.228930 0.287070i −0.654078 0.756427i \(-0.726943\pi\)
0.883008 + 0.469358i \(0.155514\pi\)
\(504\) 0.194177 + 0.850747i 0.00864935 + 0.0378953i
\(505\) 2.23490 0.0994517
\(506\) 1.12296 + 4.92000i 0.0499215 + 0.218721i
\(507\) 21.2947 + 10.2550i 0.945731 + 0.455440i
\(508\) −1.68329 0.810631i −0.0746840 0.0359659i
\(509\) −1.76151 7.71769i −0.0780777 0.342081i 0.920768 0.390110i \(-0.127563\pi\)
−0.998846 + 0.0480294i \(0.984706\pi\)
\(510\) 1.72587 0.0764230
\(511\) −0.446771 1.95743i −0.0197640 0.0865916i
\(512\) −14.2853 + 17.9132i −0.631327 + 0.791659i
\(513\) 2.90701 12.7364i 0.128348 0.562328i
\(514\) 1.61984 7.09699i 0.0714482 0.313035i
\(515\) −5.89075 7.38676i −0.259577 0.325500i
\(516\) 6.89493 + 3.32042i 0.303532 + 0.146173i
\(517\) 28.6797 13.8114i 1.26133 0.607425i
\(518\) 0.489115 0.613331i 0.0214905 0.0269482i
\(519\) 7.11662 + 8.92396i 0.312385 + 0.391718i
\(520\) 5.96346 2.87185i 0.261515 0.125939i
\(521\) −3.52542 −0.154451 −0.0772257 0.997014i \(-0.524606\pi\)
−0.0772257 + 0.997014i \(0.524606\pi\)
\(522\) 1.81767 + 2.94788i 0.0795571 + 0.129025i
\(523\) 10.0301 0.438587 0.219294 0.975659i \(-0.429625\pi\)
0.219294 + 0.975659i \(0.429625\pi\)
\(524\) 13.0233 6.27167i 0.568924 0.273979i
\(525\) 1.25451 + 1.57311i 0.0547514 + 0.0686561i
\(526\) −6.58277 + 8.25453i −0.287022 + 0.359915i
\(527\) 27.0954 13.0485i 1.18030 0.568401i
\(528\) 15.8192 + 7.61811i 0.688441 + 0.331535i
\(529\) −11.0538 13.8610i −0.480598 0.602651i
\(530\) −0.321552 + 1.40881i −0.0139673 + 0.0611949i
\(531\) −4.01746 + 17.6016i −0.174343 + 0.763846i
\(532\) 0.945042 1.18505i 0.0409728 0.0513782i
\(533\) 3.91185 + 17.1390i 0.169441 + 0.742370i
\(534\) −3.15213 −0.136406
\(535\) −2.50149 10.9598i −0.108149 0.473831i
\(536\) 3.54138 + 1.70544i 0.152965 + 0.0736638i
\(537\) 3.82640 + 1.84270i 0.165121 + 0.0795182i
\(538\) 2.51089 + 11.0009i 0.108252 + 0.474283i
\(539\) −33.9439 −1.46207
\(540\) 1.53803 + 6.73856i 0.0661864 + 0.289981i
\(541\) 5.12767 6.42990i 0.220456 0.276443i −0.659288 0.751890i \(-0.729142\pi\)
0.879744 + 0.475447i \(0.157714\pi\)
\(542\) −0.119178 + 0.522153i −0.00511913 + 0.0224284i
\(543\) 3.51693 15.4087i 0.150926 0.661249i
\(544\) −13.0368 16.3477i −0.558950 0.700901i
\(545\) −3.40850 1.64145i −0.146004 0.0703119i
\(546\) 1.00873 0.485778i 0.0431696 0.0207894i
\(547\) 16.1253 20.2205i 0.689467 0.864564i −0.306721 0.951800i \(-0.599232\pi\)
0.996188 + 0.0872352i \(0.0278032\pi\)
\(548\) −19.3605 24.2774i −0.827041 1.03708i
\(549\) −2.13922 + 1.03019i −0.0912997 + 0.0439676i
\(550\) 9.93767 0.423744
\(551\) 4.29321 11.9441i 0.182897 0.508837i
\(552\) −4.84415 −0.206181
\(553\) 1.50000 0.722362i 0.0637865 0.0307180i
\(554\) −2.95928 3.71082i −0.125728 0.157658i
\(555\) 2.65734 3.33220i 0.112798 0.141444i
\(556\) −27.0601 + 13.0315i −1.14760 + 0.552657i
\(557\) −20.7310 9.98353i −0.878401 0.423016i −0.0603609 0.998177i \(-0.519225\pi\)
−0.818040 + 0.575161i \(0.804939\pi\)
\(558\) −2.68329 3.36474i −0.113593 0.142441i
\(559\) −4.28405 + 18.7697i −0.181196 + 0.793872i
\(560\) −0.156678 + 0.686450i −0.00662084 + 0.0290078i
\(561\) −17.2567 + 21.6392i −0.728577 + 0.913607i
\(562\) −1.61218 7.06341i −0.0680056 0.297952i
\(563\) 43.1159 1.81712 0.908559 0.417757i \(-0.137184\pi\)
0.908559 + 0.417757i \(0.137184\pi\)
\(564\) 3.22252 + 14.1188i 0.135693 + 0.594508i
\(565\) 6.65548 + 3.20511i 0.279998 + 0.134840i
\(566\) −2.10388 1.01317i −0.0884325 0.0425868i
\(567\) 0.204636 + 0.896567i 0.00859388 + 0.0376523i
\(568\) −12.4112 −0.520762
\(569\) 5.40999 + 23.7027i 0.226799 + 0.993670i 0.952231 + 0.305377i \(0.0987825\pi\)
−0.725433 + 0.688293i \(0.758360\pi\)
\(570\) −0.564351 + 0.707674i −0.0236381 + 0.0296412i
\(571\) −4.11410 + 18.0250i −0.172170 + 0.754324i 0.812933 + 0.582357i \(0.197869\pi\)
−0.985103 + 0.171967i \(0.944988\pi\)
\(572\) −11.1947 + 49.0472i −0.468074 + 2.05077i
\(573\) 8.29590 + 10.4027i 0.346566 + 0.434580i
\(574\) 0.445042 + 0.214321i 0.0185757 + 0.00894558i
\(575\) 9.35205 4.50371i 0.390008 0.187818i
\(576\) 3.27144 4.10225i 0.136310 0.170927i
\(577\) −23.6042 29.5987i −0.982654 1.23221i −0.972654 0.232260i \(-0.925388\pi\)
−0.0100007 0.999950i \(-0.503183\pi\)
\(578\) 1.28136 0.617072i 0.0532977 0.0256668i
\(579\) −28.3424 −1.17787
\(580\) 0.695374 + 6.67909i 0.0288738 + 0.277334i
\(581\) 1.58987 0.0659591
\(582\) 0.0903019 0.0434871i 0.00374314 0.00180260i
\(583\) −14.4487 18.1181i −0.598404 0.750374i
\(584\) 5.93482 7.44203i 0.245585 0.307953i
\(585\) −5.09299 + 2.45265i −0.210569 + 0.101405i
\(586\) 2.71206 + 1.30606i 0.112034 + 0.0539529i
\(587\) −9.00030 11.2860i −0.371482 0.465824i 0.560592 0.828092i \(-0.310574\pi\)
−0.932074 + 0.362269i \(0.882002\pi\)
\(588\) 3.43631 15.0555i 0.141711 0.620877i
\(589\) −3.50969 + 15.3770i −0.144614 + 0.633596i
\(590\) 2.39911 3.00839i 0.0987697 0.123853i
\(591\) −5.42692 23.7769i −0.223234 0.978050i
\(592\) −14.0804 −0.578700
\(593\) 2.89320 + 12.6759i 0.118809 + 0.520538i 0.998950 + 0.0458241i \(0.0145914\pi\)
−0.880140 + 0.474714i \(0.842551\pi\)
\(594\) 10.9770 + 5.28626i 0.450393 + 0.216898i
\(595\) −1.00000 0.481575i −0.0409960 0.0197426i
\(596\) 7.46077 + 32.6878i 0.305605 + 1.33894i
\(597\) 1.09113 0.0446570
\(598\) −1.28525 5.63104i −0.0525577 0.230270i
\(599\) 7.54019 9.45510i 0.308084 0.386325i −0.603552 0.797323i \(-0.706249\pi\)
0.911636 + 0.410999i \(0.134820\pi\)
\(600\) −2.12266 + 9.29999i −0.0866573 + 0.379670i
\(601\) 4.97272 21.7869i 0.202842 0.888707i −0.766355 0.642418i \(-0.777932\pi\)
0.969196 0.246289i \(-0.0792113\pi\)
\(602\) 0.337282 + 0.422938i 0.0137466 + 0.0172377i
\(603\) −3.02446 1.45650i −0.123165 0.0593134i
\(604\) −12.2213 + 5.88548i −0.497279 + 0.239477i
\(605\) 5.77897 7.24660i 0.234949 0.294616i
\(606\) 1.11745 + 1.40124i 0.0453933 + 0.0569214i
\(607\) −37.3620 + 17.9926i −1.51648 + 0.730297i −0.992593 0.121491i \(-0.961232\pi\)
−0.523886 + 0.851789i \(0.675518\pi\)
\(608\) 10.9661 0.444736
\(609\) 0.248176 + 2.38374i 0.0100566 + 0.0965940i
\(610\) 0.506041 0.0204890
\(611\) −32.8245 + 15.8075i −1.32794 + 0.639502i
\(612\) 7.29590 + 9.14877i 0.294919 + 0.369817i
\(613\) 16.0764 20.1591i 0.649318 0.814219i −0.342816 0.939403i \(-0.611381\pi\)
0.992134 + 0.125184i \(0.0399520\pi\)
\(614\) 1.81163 0.872433i 0.0731113 0.0352085i
\(615\) 2.41789 + 1.16440i 0.0974989 + 0.0469530i
\(616\) 1.85958 + 2.33184i 0.0749248 + 0.0939527i
\(617\) −1.97272 + 8.64306i −0.0794188 + 0.347956i −0.998988 0.0449710i \(-0.985680\pi\)
0.919570 + 0.392927i \(0.128538\pi\)
\(618\) 1.68598 7.38676i 0.0678201 0.297139i
\(619\) 18.3626 23.0259i 0.738054 0.925490i −0.261153 0.965297i \(-0.584103\pi\)
0.999207 + 0.0398069i \(0.0126743\pi\)
\(620\) −1.85690 8.13559i −0.0745747 0.326733i
\(621\) 12.7259 0.510672
\(622\) −1.24943 5.47412i −0.0500976 0.219492i
\(623\) 1.82640 + 0.879546i 0.0731730 + 0.0352383i
\(624\) −18.1054 8.71909i −0.724795 0.349043i
\(625\) −4.01560 17.5935i −0.160624 0.703739i
\(626\) −8.56273 −0.342235
\(627\) −3.23005 14.1518i −0.128996 0.565168i
\(628\) 20.4916 25.6956i 0.817703 1.02537i
\(629\) 4.93900 21.6392i 0.196931 0.862811i
\(630\) −0.0353438 + 0.154851i −0.00140813 + 0.00616942i
\(631\) 14.8210 + 18.5850i 0.590015 + 0.739856i 0.983785 0.179353i \(-0.0574005\pi\)
−0.393769 + 0.919209i \(0.628829\pi\)
\(632\) 7.11141 + 3.42467i 0.282877 + 0.136226i
\(633\) −20.5248 + 9.88420i −0.815786 + 0.392862i
\(634\) −0.795897 + 0.998023i −0.0316091 + 0.0396366i
\(635\) −0.447362 0.560974i −0.0177530 0.0222616i
\(636\) 9.49880 4.57438i 0.376652 0.181386i
\(637\) 38.8495 1.53927
\(638\) 9.96897 + 6.38220i 0.394675 + 0.252674i
\(639\) 10.5996 0.419312
\(640\) −6.80947 + 3.27927i −0.269168 + 0.129624i
\(641\) 17.7479 + 22.2552i 0.701001 + 0.879028i 0.997098 0.0761300i \(-0.0242564\pi\)
−0.296096 + 0.955158i \(0.595685\pi\)
\(642\) 5.62080 7.04826i 0.221835 0.278173i
\(643\) 17.4308 8.39423i 0.687404 0.331036i −0.0573702 0.998353i \(-0.518272\pi\)
0.744774 + 0.667317i \(0.232557\pi\)
\(644\) 1.33028 + 0.640630i 0.0524204 + 0.0252443i
\(645\) 1.83244 + 2.29780i 0.0721521 + 0.0904759i
\(646\) −1.04892 + 4.59561i −0.0412691 + 0.180812i
\(647\) −5.05443 + 22.1449i −0.198710 + 0.870605i 0.772996 + 0.634411i \(0.218757\pi\)
−0.971706 + 0.236194i \(0.924100\pi\)
\(648\) −2.71834 + 3.40869i −0.106787 + 0.133906i
\(649\) 13.7313 + 60.1605i 0.538999 + 2.36151i
\(650\) −11.3739 −0.446120
\(651\) −0.662718 2.90356i −0.0259740 0.113799i
\(652\) 20.5221 + 9.88291i 0.803706 + 0.387044i
\(653\) −20.6603 9.94949i −0.808501 0.389354i −0.0164928 0.999864i \(-0.505250\pi\)
−0.792008 + 0.610510i \(0.790964\pi\)
\(654\) −0.675096 2.95779i −0.0263983 0.115659i
\(655\) 5.55124 0.216905
\(656\) −1.97285 8.64363i −0.0770270 0.337477i
\(657\) −5.06853 + 6.35574i −0.197742 + 0.247961i
\(658\) −0.227792 + 0.998023i −0.00888027 + 0.0389070i
\(659\) 4.26755 18.6974i 0.166240 0.728346i −0.821237 0.570587i \(-0.806716\pi\)
0.987478 0.157759i \(-0.0504271\pi\)
\(660\) 4.78836 + 6.00442i 0.186387 + 0.233722i
\(661\) 3.05107 + 1.46932i 0.118673 + 0.0571499i 0.492278 0.870438i \(-0.336164\pi\)
−0.373605 + 0.927588i \(0.621879\pi\)
\(662\) 1.25667 0.605180i 0.0488418 0.0235210i
\(663\) 19.7506 24.7665i 0.767051 0.961851i
\(664\) 4.69955 + 5.89305i 0.182378 + 0.228695i
\(665\) 0.524459 0.252566i 0.0203376 0.00979409i
\(666\) −3.17629 −0.123079
\(667\) 12.2739 + 1.48821i 0.475247 + 0.0576238i
\(668\) 1.43535 0.0555355
\(669\) −2.04288 + 0.983797i −0.0789822 + 0.0380358i
\(670\) 0.446074 + 0.559360i 0.0172334 + 0.0216099i
\(671\) −5.05980 + 6.34479i −0.195332 + 0.244938i
\(672\) −1.86563 + 0.898438i −0.0719680 + 0.0346580i
\(673\) −4.29805 2.06983i −0.165678 0.0797862i 0.349207 0.937046i \(-0.386451\pi\)
−0.514885 + 0.857259i \(0.672165\pi\)
\(674\) −1.38255 1.73366i −0.0532539 0.0667782i
\(675\) 5.57636 24.4316i 0.214634 0.940374i
\(676\) 7.59999 33.2977i 0.292307 1.28068i
\(677\) −26.8662 + 33.6892i −1.03255 + 1.29478i −0.0779309 + 0.996959i \(0.524831\pi\)
−0.954622 + 0.297821i \(0.903740\pi\)
\(678\) 1.31820 + 5.77541i 0.0506252 + 0.221803i
\(679\) −0.0644568 −0.00247362
\(680\) −1.17092 5.13011i −0.0449025 0.196731i
\(681\) −15.5673 7.49683i −0.596542 0.287279i
\(682\) −13.2528 6.38220i −0.507475 0.244387i
\(683\) −5.21432 22.8454i −0.199521 0.874157i −0.971223 0.238173i \(-0.923452\pi\)
0.771702 0.635984i \(-0.219406\pi\)
\(684\) −6.13706 −0.234656
\(685\) −2.65362 11.6263i −0.101390 0.444217i
\(686\) 1.37382 1.72272i 0.0524528 0.0657737i
\(687\) −3.54407 + 15.5276i −0.135215 + 0.592415i
\(688\) 2.16056 9.46604i 0.0823707 0.360890i
\(689\) 16.5368 + 20.7365i 0.630003 + 0.789999i
\(690\) −0.794405 0.382565i −0.0302425 0.0145640i
\(691\) −38.8657 + 18.7167i −1.47852 + 0.712018i −0.987278 0.159005i \(-0.949171\pi\)
−0.491243 + 0.871023i \(0.663457\pi\)
\(692\) 10.2838 12.8955i 0.390932 0.490213i
\(693\) −1.58815 1.99147i −0.0603287 0.0756498i
\(694\) 8.06638 3.88456i 0.306195 0.147456i
\(695\) −11.5345 −0.437529
\(696\) −8.10202 + 7.96605i −0.307106 + 0.301952i
\(697\) 13.9758 0.529373
\(698\) 8.21552 3.95639i 0.310962 0.149751i
\(699\) 6.89307 + 8.64363i 0.260720 + 0.326932i
\(700\) 1.81282 2.27321i 0.0685183 0.0859192i
\(701\) −3.81186 + 1.83570i −0.143972 + 0.0693333i −0.504483 0.863422i \(-0.668317\pi\)
0.360511 + 0.932755i \(0.382602\pi\)
\(702\) −12.5635 6.05024i −0.474177 0.228352i
\(703\) 7.25786 + 9.10107i 0.273736 + 0.343254i
\(704\) 3.99061 17.4840i 0.150402 0.658953i
\(705\) −1.23759 + 5.42222i −0.0466102 + 0.204213i
\(706\) −4.99396 + 6.26223i −0.187950 + 0.235682i
\(707\) −0.256478 1.12370i −0.00964586 0.0422613i
\(708\) −28.0737 −1.05507
\(709\) −3.18287 13.9450i −0.119535 0.523717i −0.998871 0.0475144i \(-0.984870\pi\)
0.879336 0.476203i \(-0.157987\pi\)
\(710\) −2.03534 0.980170i −0.0763851 0.0367851i
\(711\) −6.07338 2.92478i −0.227769 0.109688i
\(712\) 2.13856 + 9.36962i 0.0801457 + 0.351141i
\(713\) −15.3642 −0.575393
\(714\) −0.198062 0.867767i −0.00741229 0.0324754i
\(715\) −12.0462 + 15.1055i −0.450503 + 0.564913i
\(716\) 1.36563 5.98319i 0.0510358 0.223602i
\(717\) −7.09365 + 31.0793i −0.264917 + 1.16068i
\(718\) −6.55645 8.22153i −0.244685 0.306825i
\(719\) 21.1194 + 10.1706i 0.787620 + 0.379298i 0.784051 0.620696i \(-0.213150\pi\)
0.00356825 + 0.999994i \(0.498864\pi\)
\(720\) 2.56853 1.23694i 0.0957235 0.0460980i
\(721\) −3.03803 + 3.80957i −0.113142 + 0.141876i
\(722\) 3.73072 + 4.67817i 0.138843 + 0.174104i
\(723\) 10.9330 5.26504i 0.406601 0.195809i
\(724\) −22.8388 −0.848796
\(725\) 8.23543 22.9118i 0.305856 0.850922i
\(726\) 7.43296 0.275863
\(727\) −46.8482 + 22.5609i −1.73750 + 0.836738i −0.753763 + 0.657146i \(0.771763\pi\)
−0.983741 + 0.179592i \(0.942522\pi\)
\(728\) −2.12833 2.66885i −0.0788813 0.0989140i
\(729\) 15.2500 19.1228i 0.564813 0.708254i
\(730\) 1.56100 0.751737i 0.0577752 0.0278231i
\(731\) 13.7899 + 6.64084i 0.510036 + 0.245621i
\(732\) −2.30194 2.88654i −0.0850821 0.106690i
\(733\) −7.60806 + 33.3331i −0.281010 + 1.23119i 0.615491 + 0.788144i \(0.288958\pi\)
−0.896501 + 0.443041i \(0.853899\pi\)
\(734\) −2.93559 + 12.8617i −0.108355 + 0.474733i
\(735\) 3.69769 4.63676i 0.136391 0.171030i
\(736\) 2.37704 + 10.4145i 0.0876190 + 0.383884i
\(737\) −11.4735 −0.422632
\(738\) −0.445042 1.94986i −0.0163822 0.0717752i
\(739\) −35.8342 17.2569i −1.31818 0.634804i −0.363269 0.931684i \(-0.618339\pi\)
−0.954915 + 0.296881i \(0.904054\pi\)
\(740\) −5.54892 2.67222i −0.203982 0.0982327i
\(741\) 3.69687 + 16.1970i 0.135808 + 0.595013i
\(742\) 0.745251 0.0273590
\(743\) −1.59730 6.99824i −0.0585993 0.256740i 0.937140 0.348954i \(-0.113463\pi\)
−0.995739 + 0.0922133i \(0.970606\pi\)
\(744\) 8.80343 11.0392i 0.322749 0.404715i
\(745\) −2.86526 + 12.5535i −0.104975 + 0.459925i
\(746\) −2.49439 + 10.9286i −0.0913260 + 0.400125i
\(747\) −4.01357 5.03286i −0.146849 0.184143i
\(748\) 36.0344 + 17.3533i 1.31755 + 0.634499i
\(749\) −5.22348 + 2.51550i −0.190862 + 0.0919142i
\(750\) −2.27980 + 2.85878i −0.0832465 + 0.104388i
\(751\) −16.9393 21.2412i −0.618124 0.775103i 0.369955 0.929050i \(-0.379373\pi\)
−0.988079 + 0.153947i \(0.950802\pi\)
\(752\) 16.5543 7.97213i 0.603673 0.290714i
\(753\) 12.1709 0.443533
\(754\) −11.4097 7.30457i −0.415517 0.266017i
\(755\) −5.20941 −0.189590
\(756\) 3.21164 1.54664i 0.116806 0.0562508i
\(757\) 14.7721 + 18.5236i 0.536901 + 0.673253i 0.974101 0.226111i \(-0.0726013\pi\)
−0.437200 + 0.899364i \(0.644030\pi\)
\(758\) 7.46615 9.36225i 0.271183 0.340052i
\(759\) 12.7397 6.13514i 0.462423 0.222691i
\(760\) 2.48643 + 1.19740i 0.0901922 + 0.0434343i
\(761\) −8.88740 11.1444i −0.322168 0.403986i 0.594204 0.804315i \(-0.297467\pi\)
−0.916372 + 0.400329i \(0.868896\pi\)
\(762\) 0.128039 0.560974i 0.00463835 0.0203219i
\(763\) −0.434157 + 1.90216i −0.0157175 + 0.0688630i
\(764\) 11.9879 15.0324i 0.433708 0.543852i
\(765\) 1.00000 + 4.38129i 0.0361551 + 0.158406i
\(766\) 8.75361 0.316281
\(767\) −15.7157 68.8550i −0.567461 2.48621i
\(768\) 2.69806 + 1.29932i 0.0973579 + 0.0468851i
\(769\) 40.2793 + 19.3975i 1.45251 + 0.699491i 0.983029 0.183453i \(-0.0587275\pi\)
0.469479 + 0.882944i \(0.344442\pi\)
\(770\) 0.120801 + 0.529265i 0.00435338 + 0.0190734i
\(771\) −20.3967 −0.734570
\(772\) 9.11356 + 39.9291i 0.328004 + 1.43708i
\(773\) 14.3083 17.9420i 0.514633 0.645329i −0.454827 0.890580i \(-0.650299\pi\)
0.969460 + 0.245251i \(0.0788703\pi\)
\(774\) 0.487386 2.13538i 0.0175187 0.0767546i
\(775\) −6.73245 + 29.4968i −0.