Properties

Label 91.2.bc.a.6.7
Level $91$
Weight $2$
Character 91.6
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bc (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 6.7
Character \(\chi\) \(=\) 91.6
Dual form 91.2.bc.a.76.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.612835 + 2.28713i) q^{2} +(-1.04118 - 0.601128i) q^{3} +(-3.12335 + 1.80327i) q^{4} +(2.25527 + 2.25527i) q^{5} +(0.736784 - 2.74971i) q^{6} +(-2.60590 - 0.457468i) q^{7} +(-2.68981 - 2.68981i) q^{8} +(-0.777291 - 1.34631i) q^{9} +O(q^{10})\) \(q+(0.612835 + 2.28713i) q^{2} +(-1.04118 - 0.601128i) q^{3} +(-3.12335 + 1.80327i) q^{4} +(2.25527 + 2.25527i) q^{5} +(0.736784 - 2.74971i) q^{6} +(-2.60590 - 0.457468i) q^{7} +(-2.68981 - 2.68981i) q^{8} +(-0.777291 - 1.34631i) q^{9} +(-3.77599 + 6.54020i) q^{10} +(4.11159 - 1.10170i) q^{11} +4.33597 q^{12} +(3.48609 - 0.920440i) q^{13} +(-0.550697 - 6.24039i) q^{14} +(-0.992444 - 3.70385i) q^{15} +(0.897005 - 1.55366i) q^{16} +(0.721872 + 1.25032i) q^{17} +(2.60283 - 2.60283i) q^{18} +(0.649502 - 2.42397i) q^{19} +(-11.1108 - 2.97714i) q^{20} +(2.43823 + 2.04279i) q^{21} +(5.03945 + 8.72858i) q^{22} +(-4.52952 - 2.61512i) q^{23} +(1.18367 + 4.41750i) q^{24} +5.17247i q^{25} +(4.24156 + 7.40905i) q^{26} +5.47577i q^{27} +(8.96408 - 3.27030i) q^{28} +(1.34350 - 2.32701i) q^{29} +(7.86299 - 4.53970i) q^{30} +(-3.76457 - 3.76457i) q^{31} +(-3.24556 - 0.869646i) q^{32} +(-4.94318 - 1.32452i) q^{33} +(-2.41725 + 2.41725i) q^{34} +(-4.84529 - 6.90872i) q^{35} +(4.85550 + 2.80333i) q^{36} +(-0.599466 + 0.160626i) q^{37} +5.94198 q^{38} +(-4.18296 - 1.13724i) q^{39} -12.1325i q^{40} +(-5.04879 + 1.35282i) q^{41} +(-3.17789 + 6.82843i) q^{42} +(-5.46143 + 3.15316i) q^{43} +(-10.8553 + 10.8553i) q^{44} +(1.28329 - 4.78929i) q^{45} +(3.20527 - 11.9622i) q^{46} +(4.68009 - 4.68009i) q^{47} +(-1.86789 + 1.07843i) q^{48} +(6.58145 + 2.38424i) q^{49} +(-11.8301 + 3.16987i) q^{50} -1.73575i q^{51} +(-9.22846 + 9.16119i) q^{52} -7.58528 q^{53} +(-12.5238 + 3.35574i) q^{54} +(11.7574 + 6.78811i) q^{55} +(5.77888 + 8.23988i) q^{56} +(-2.13337 + 2.13337i) q^{57} +(6.14553 + 1.64669i) q^{58} +(-1.96185 - 0.525675i) q^{59} +(9.77878 + 9.77878i) q^{60} +(4.53851 - 2.62031i) q^{61} +(6.30300 - 10.9171i) q^{62} +(1.40965 + 3.86393i) q^{63} -11.5440i q^{64} +(9.93790 + 5.78622i) q^{65} -12.1174i q^{66} +(2.26854 + 8.46631i) q^{67} +(-4.50931 - 2.60345i) q^{68} +(3.14404 + 5.44564i) q^{69} +(12.8318 - 15.3157i) q^{70} +(8.31929 + 2.22915i) q^{71} +(-1.53055 + 5.71208i) q^{72} +(-11.1801 + 11.1801i) q^{73} +(-0.734747 - 1.27262i) q^{74} +(3.10932 - 5.38549i) q^{75} +(2.34245 + 8.74214i) q^{76} +(-11.2184 + 0.989991i) q^{77} +(0.0375447 - 10.2639i) q^{78} +2.01287 q^{79} +(5.52690 - 1.48093i) q^{80} +(0.959764 - 1.66236i) q^{81} +(-6.18815 - 10.7182i) q^{82} +(5.11623 + 5.11623i) q^{83} +(-11.2991 - 1.98357i) q^{84} +(-1.19179 + 4.44782i) q^{85} +(-10.5586 - 10.5586i) q^{86} +(-2.79766 + 1.61523i) q^{87} +(-14.0227 - 8.09604i) q^{88} +(-1.81184 - 6.76189i) q^{89} +11.7402 q^{90} +(-9.50547 + 0.803801i) q^{91} +18.8630 q^{92} +(1.65662 + 6.18260i) q^{93} +(13.5721 + 7.83586i) q^{94} +(6.93151 - 4.00191i) q^{95} +(2.85646 + 2.85646i) q^{96} +(1.62618 - 6.06897i) q^{97} +(-1.41972 + 16.5138i) q^{98} +(-4.67912 - 4.67912i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} - 4q^{11} - 32q^{14} - 8q^{15} + 12q^{16} - 4q^{18} + 16q^{21} + 4q^{22} - 12q^{23} + 24q^{28} + 4q^{29} + 12q^{30} + 4q^{32} - 20q^{35} + 4q^{37} - 36q^{39} - 28q^{42} - 48q^{43} + 24q^{44} + 84q^{46} + 24q^{49} - 44q^{50} + 72q^{53} + 60q^{56} - 92q^{57} - 16q^{58} + 76q^{60} + 48q^{63} + 4q^{65} - 56q^{67} + 56q^{70} + 84q^{71} - 128q^{72} - 24q^{74} + 148q^{78} - 80q^{79} + 28q^{81} - 64q^{84} + 36q^{85} - 48q^{86} - 228q^{88} - 48q^{91} + 24q^{92} + 108q^{93} - 84q^{95} - 32q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.612835 + 2.28713i 0.433340 + 1.61725i 0.745009 + 0.667055i \(0.232445\pi\)
−0.311669 + 0.950191i \(0.600888\pi\)
\(3\) −1.04118 0.601128i −0.601128 0.347061i 0.168357 0.985726i \(-0.446154\pi\)
−0.769485 + 0.638665i \(0.779487\pi\)
\(4\) −3.12335 + 1.80327i −1.56167 + 0.901633i
\(5\) 2.25527 + 2.25527i 1.00859 + 1.00859i 0.999963 + 0.00862388i \(0.00274510\pi\)
0.00862388 + 0.999963i \(0.497255\pi\)
\(6\) 0.736784 2.74971i 0.300791 1.12257i
\(7\) −2.60590 0.457468i −0.984938 0.172907i
\(8\) −2.68981 2.68981i −0.950991 0.950991i
\(9\) −0.777291 1.34631i −0.259097 0.448769i
\(10\) −3.77599 + 6.54020i −1.19407 + 2.06819i
\(11\) 4.11159 1.10170i 1.23969 0.332174i 0.421345 0.906900i \(-0.361558\pi\)
0.818346 + 0.574726i \(0.194891\pi\)
\(12\) 4.33597 1.25169
\(13\) 3.48609 0.920440i 0.966866 0.255284i
\(14\) −0.550697 6.24039i −0.147180 1.66781i
\(15\) −0.992444 3.70385i −0.256248 0.956331i
\(16\) 0.897005 1.55366i 0.224251 0.388414i
\(17\) 0.721872 + 1.25032i 0.175080 + 0.303247i 0.940189 0.340654i \(-0.110648\pi\)
−0.765109 + 0.643901i \(0.777315\pi\)
\(18\) 2.60283 2.60283i 0.613493 0.613493i
\(19\) 0.649502 2.42397i 0.149006 0.556098i −0.850538 0.525913i \(-0.823724\pi\)
0.999544 0.0301847i \(-0.00960954\pi\)
\(20\) −11.1108 2.97714i −2.48446 0.665709i
\(21\) 2.43823 + 2.04279i 0.532064 + 0.445773i
\(22\) 5.03945 + 8.72858i 1.07441 + 1.86094i
\(23\) −4.52952 2.61512i −0.944470 0.545290i −0.0531111 0.998589i \(-0.516914\pi\)
−0.891359 + 0.453299i \(0.850247\pi\)
\(24\) 1.18367 + 4.41750i 0.241615 + 0.901719i
\(25\) 5.17247i 1.03449i
\(26\) 4.24156 + 7.40905i 0.831838 + 1.45304i
\(27\) 5.47577i 1.05381i
\(28\) 8.96408 3.27030i 1.69405 0.618029i
\(29\) 1.34350 2.32701i 0.249482 0.432116i −0.713900 0.700248i \(-0.753073\pi\)
0.963382 + 0.268132i \(0.0864063\pi\)
\(30\) 7.86299 4.53970i 1.43558 0.828832i
\(31\) −3.76457 3.76457i −0.676137 0.676137i 0.282987 0.959124i \(-0.408675\pi\)
−0.959124 + 0.282987i \(0.908675\pi\)
\(32\) −3.24556 0.869646i −0.573740 0.153733i
\(33\) −4.94318 1.32452i −0.860497 0.230570i
\(34\) −2.41725 + 2.41725i −0.414555 + 0.414555i
\(35\) −4.84529 6.90872i −0.819004 1.16779i
\(36\) 4.85550 + 2.80333i 0.809250 + 0.467221i
\(37\) −0.599466 + 0.160626i −0.0985516 + 0.0264068i −0.307758 0.951465i \(-0.599579\pi\)
0.209206 + 0.977872i \(0.432912\pi\)
\(38\) 5.94198 0.963916
\(39\) −4.18296 1.13724i −0.669809 0.182103i
\(40\) 12.1325i 1.91831i
\(41\) −5.04879 + 1.35282i −0.788488 + 0.211275i −0.630524 0.776170i \(-0.717160\pi\)
−0.157965 + 0.987445i \(0.550493\pi\)
\(42\) −3.17789 + 6.82843i −0.490360 + 1.05365i
\(43\) −5.46143 + 3.15316i −0.832860 + 0.480852i −0.854831 0.518907i \(-0.826339\pi\)
0.0219711 + 0.999759i \(0.493006\pi\)
\(44\) −10.8553 + 10.8553i −1.63649 + 1.63649i
\(45\) 1.28329 4.78929i 0.191301 0.713944i
\(46\) 3.20527 11.9622i 0.472591 1.76374i
\(47\) 4.68009 4.68009i 0.682662 0.682662i −0.277937 0.960599i \(-0.589651\pi\)
0.960599 + 0.277937i \(0.0896508\pi\)
\(48\) −1.86789 + 1.07843i −0.269607 + 0.155658i
\(49\) 6.58145 + 2.38424i 0.940206 + 0.340605i
\(50\) −11.8301 + 3.16987i −1.67303 + 0.448287i
\(51\) 1.73575i 0.243053i
\(52\) −9.22846 + 9.16119i −1.27976 + 1.27043i
\(53\) −7.58528 −1.04192 −0.520959 0.853582i \(-0.674426\pi\)
−0.520959 + 0.853582i \(0.674426\pi\)
\(54\) −12.5238 + 3.35574i −1.70427 + 0.456659i
\(55\) 11.7574 + 6.78811i 1.58536 + 0.915309i
\(56\) 5.77888 + 8.23988i 0.772235 + 1.10110i
\(57\) −2.13337 + 2.13337i −0.282571 + 0.282571i
\(58\) 6.14553 + 1.64669i 0.806947 + 0.216221i
\(59\) −1.96185 0.525675i −0.255410 0.0684370i 0.128842 0.991665i \(-0.458874\pi\)
−0.384252 + 0.923228i \(0.625541\pi\)
\(60\) 9.77878 + 9.77878i 1.26244 + 1.26244i
\(61\) 4.53851 2.62031i 0.581097 0.335496i −0.180472 0.983580i \(-0.557763\pi\)
0.761569 + 0.648084i \(0.224429\pi\)
\(62\) 6.30300 10.9171i 0.800482 1.38648i
\(63\) 1.40965 + 3.86393i 0.177599 + 0.486810i
\(64\) 11.5440i 1.44300i
\(65\) 9.93790 + 5.78622i 1.23264 + 0.717692i
\(66\) 12.1174i 1.49155i
\(67\) 2.26854 + 8.46631i 0.277147 + 1.03432i 0.954389 + 0.298565i \(0.0965080\pi\)
−0.677243 + 0.735760i \(0.736825\pi\)
\(68\) −4.50931 2.60345i −0.546835 0.315715i
\(69\) 3.14404 + 5.44564i 0.378498 + 0.655578i
\(70\) 12.8318 15.3157i 1.53369 1.83058i
\(71\) 8.31929 + 2.22915i 0.987318 + 0.264551i 0.716124 0.697974i \(-0.245915\pi\)
0.271194 + 0.962525i \(0.412581\pi\)
\(72\) −1.53055 + 5.71208i −0.180377 + 0.673175i
\(73\) −11.1801 + 11.1801i −1.30854 + 1.30854i −0.386065 + 0.922472i \(0.626166\pi\)
−0.922472 + 0.386065i \(0.873834\pi\)
\(74\) −0.734747 1.27262i −0.0854126 0.147939i
\(75\) 3.10932 5.38549i 0.359033 0.621863i
\(76\) 2.34245 + 8.74214i 0.268697 + 1.00279i
\(77\) −11.2184 + 0.989991i −1.27845 + 0.112820i
\(78\) 0.0375447 10.2639i 0.00425110 1.16216i
\(79\) 2.01287 0.226465 0.113233 0.993568i \(-0.463879\pi\)
0.113233 + 0.993568i \(0.463879\pi\)
\(80\) 5.52690 1.48093i 0.617926 0.165573i
\(81\) 0.959764 1.66236i 0.106640 0.184707i
\(82\) −6.18815 10.7182i −0.683367 1.18363i
\(83\) 5.11623 + 5.11623i 0.561579 + 0.561579i 0.929756 0.368177i \(-0.120018\pi\)
−0.368177 + 0.929756i \(0.620018\pi\)
\(84\) −11.2991 1.98357i −1.23283 0.216425i
\(85\) −1.19179 + 4.44782i −0.129268 + 0.482434i
\(86\) −10.5586 10.5586i −1.13857 1.13857i
\(87\) −2.79766 + 1.61523i −0.299941 + 0.173171i
\(88\) −14.0227 8.09604i −1.49483 0.863040i
\(89\) −1.81184 6.76189i −0.192055 0.716759i −0.993010 0.118034i \(-0.962341\pi\)
0.800955 0.598725i \(-0.204326\pi\)
\(90\) 11.7402 1.23752
\(91\) −9.50547 + 0.803801i −0.996444 + 0.0842613i
\(92\) 18.8630 1.96661
\(93\) 1.65662 + 6.18260i 0.171784 + 0.641105i
\(94\) 13.5721 + 7.83586i 1.39986 + 0.808207i
\(95\) 6.93151 4.00191i 0.711158 0.410587i
\(96\) 2.85646 + 2.85646i 0.291536 + 0.291536i
\(97\) 1.62618 6.06897i 0.165113 0.616211i −0.832913 0.553405i \(-0.813328\pi\)
0.998026 0.0628062i \(-0.0200050\pi\)
\(98\) −1.41972 + 16.5138i −0.143413 + 1.66814i
\(99\) −4.67912 4.67912i −0.470270 0.470270i
\(100\) −9.32734 16.1554i −0.932734 1.61554i
\(101\) 6.66959 11.5521i 0.663649 1.14947i −0.316001 0.948759i \(-0.602340\pi\)
0.979650 0.200715i \(-0.0643264\pi\)
\(102\) 3.96988 1.06373i 0.393077 0.105325i
\(103\) −6.17453 −0.608395 −0.304197 0.952609i \(-0.598388\pi\)
−0.304197 + 0.952609i \(0.598388\pi\)
\(104\) −11.8527 6.90110i −1.16225 0.676708i
\(105\) 0.891816 + 10.1059i 0.0870324 + 0.986234i
\(106\) −4.64852 17.3485i −0.451504 1.68504i
\(107\) 4.27353 7.40196i 0.413137 0.715575i −0.582094 0.813122i \(-0.697766\pi\)
0.995231 + 0.0975469i \(0.0310996\pi\)
\(108\) −9.87427 17.1027i −0.950152 1.64571i
\(109\) 3.30124 3.30124i 0.316201 0.316201i −0.531105 0.847306i \(-0.678223\pi\)
0.847306 + 0.531105i \(0.178223\pi\)
\(110\) −8.31998 + 31.0506i −0.793279 + 2.96056i
\(111\) 0.720711 + 0.193114i 0.0684069 + 0.0183296i
\(112\) −3.04825 + 3.63833i −0.288033 + 0.343790i
\(113\) 9.80118 + 16.9761i 0.922018 + 1.59698i 0.796289 + 0.604917i \(0.206794\pi\)
0.125729 + 0.992065i \(0.459873\pi\)
\(114\) −6.18669 3.57189i −0.579437 0.334538i
\(115\) −4.31748 16.1131i −0.402608 1.50255i
\(116\) 9.69077i 0.899765i
\(117\) −3.94890 3.97789i −0.365076 0.367756i
\(118\) 4.80915i 0.442718i
\(119\) −1.30915 3.58844i −0.120009 0.328952i
\(120\) −7.29317 + 12.6321i −0.665773 + 1.15315i
\(121\) 6.16515 3.55945i 0.560468 0.323586i
\(122\) 8.77435 + 8.77435i 0.794392 + 0.794392i
\(123\) 6.06993 + 1.62643i 0.547308 + 0.146651i
\(124\) 18.5466 + 4.96954i 1.66553 + 0.446278i
\(125\) −0.388969 + 0.388969i −0.0347904 + 0.0347904i
\(126\) −7.97343 + 5.59201i −0.710330 + 0.498176i
\(127\) 1.02476 + 0.591646i 0.0909329 + 0.0525001i 0.544777 0.838581i \(-0.316614\pi\)
−0.453844 + 0.891081i \(0.649948\pi\)
\(128\) 19.9115 5.33527i 1.75994 0.471576i
\(129\) 7.58180 0.667540
\(130\) −7.14355 + 26.2753i −0.626531 + 2.30449i
\(131\) 9.67103i 0.844962i 0.906372 + 0.422481i \(0.138841\pi\)
−0.906372 + 0.422481i \(0.861159\pi\)
\(132\) 17.8277 4.77693i 1.55171 0.415778i
\(133\) −2.80143 + 6.01951i −0.242915 + 0.521958i
\(134\) −17.9733 + 10.3769i −1.55266 + 0.896428i
\(135\) −12.3493 + 12.3493i −1.06286 + 1.06286i
\(136\) 1.42142 5.30482i 0.121886 0.454884i
\(137\) 1.70702 6.37069i 0.145841 0.544285i −0.853876 0.520477i \(-0.825754\pi\)
0.999717 0.0238082i \(-0.00757909\pi\)
\(138\) −10.5281 + 10.5281i −0.896212 + 0.896212i
\(139\) −19.6752 + 11.3595i −1.66883 + 0.963500i −0.700562 + 0.713591i \(0.747067\pi\)
−0.968269 + 0.249909i \(0.919599\pi\)
\(140\) 27.5918 + 12.8410i 2.33193 + 1.08526i
\(141\) −7.68617 + 2.05950i −0.647292 + 0.173441i
\(142\) 20.3934i 1.71138i
\(143\) 13.3193 7.62508i 1.11382 0.637641i
\(144\) −2.78893 −0.232411
\(145\) 8.27800 2.21808i 0.687450 0.184202i
\(146\) −32.4220 18.7189i −2.68327 1.54918i
\(147\) −5.41926 6.43872i −0.446973 0.531056i
\(148\) 1.58269 1.58269i 0.130096 0.130096i
\(149\) −14.6725 3.93148i −1.20202 0.322079i −0.398391 0.917216i \(-0.630431\pi\)
−0.803625 + 0.595137i \(0.797098\pi\)
\(150\) 14.2228 + 3.81099i 1.16129 + 0.311166i
\(151\) −5.08565 5.08565i −0.413864 0.413864i 0.469218 0.883082i \(-0.344536\pi\)
−0.883082 + 0.469218i \(0.844536\pi\)
\(152\) −8.26706 + 4.77299i −0.670547 + 0.387141i
\(153\) 1.12221 1.94372i 0.0907252 0.157141i
\(154\) −9.13926 25.0512i −0.736462 2.01868i
\(155\) 16.9802i 1.36389i
\(156\) 15.1156 3.99100i 1.21021 0.319536i
\(157\) 19.0028i 1.51659i 0.651911 + 0.758296i \(0.273968\pi\)
−0.651911 + 0.758296i \(0.726032\pi\)
\(158\) 1.23356 + 4.60369i 0.0981364 + 0.366250i
\(159\) 7.89767 + 4.55972i 0.626326 + 0.361609i
\(160\) −5.35833 9.28090i −0.423613 0.733720i
\(161\) 10.6071 + 8.88685i 0.835960 + 0.700382i
\(162\) 4.39021 + 1.17635i 0.344928 + 0.0924231i
\(163\) −0.262463 + 0.979525i −0.0205577 + 0.0767223i −0.975443 0.220254i \(-0.929311\pi\)
0.954885 + 0.296976i \(0.0959781\pi\)
\(164\) 13.3296 13.3296i 1.04087 1.04087i
\(165\) −8.16105 14.1353i −0.635337 1.10044i
\(166\) −8.56608 + 14.8369i −0.664857 + 1.15157i
\(167\) 0.522634 + 1.95050i 0.0404426 + 0.150934i 0.983195 0.182561i \(-0.0584387\pi\)
−0.942752 + 0.333495i \(0.891772\pi\)
\(168\) −1.06365 12.0531i −0.0820624 0.929915i
\(169\) 11.3056 6.41746i 0.869660 0.493651i
\(170\) −10.9031 −0.836230
\(171\) −3.76827 + 1.00970i −0.288166 + 0.0772140i
\(172\) 11.3720 19.6968i 0.867104 1.50187i
\(173\) −1.22524 2.12218i −0.0931533 0.161346i 0.815683 0.578499i \(-0.196361\pi\)
−0.908836 + 0.417153i \(0.863028\pi\)
\(174\) −5.40875 5.40875i −0.410037 0.410037i
\(175\) 2.36624 13.4790i 0.178871 1.01891i
\(176\) 1.97645 7.37623i 0.148981 0.556004i
\(177\) 1.72664 + 1.72664i 0.129782 + 0.129782i
\(178\) 14.3550 8.28784i 1.07595 0.621200i
\(179\) −6.50355 3.75482i −0.486098 0.280649i 0.236856 0.971545i \(-0.423883\pi\)
−0.722954 + 0.690896i \(0.757216\pi\)
\(180\) 4.62821 + 17.2727i 0.344966 + 1.28743i
\(181\) −4.93320 −0.366682 −0.183341 0.983049i \(-0.558691\pi\)
−0.183341 + 0.983049i \(0.558691\pi\)
\(182\) −7.66368 21.2476i −0.568070 1.57498i
\(183\) −6.30057 −0.465751
\(184\) 5.14937 + 19.2177i 0.379617 + 1.41675i
\(185\) −1.71421 0.989701i −0.126031 0.0727642i
\(186\) −13.1252 + 7.57782i −0.962384 + 0.555633i
\(187\) 4.34551 + 4.34551i 0.317775 + 0.317775i
\(188\) −6.17811 + 23.0570i −0.450585 + 1.68161i
\(189\) 2.50499 14.2693i 0.182211 1.03794i
\(190\) 13.4008 + 13.4008i 0.972193 + 0.972193i
\(191\) 3.04432 + 5.27291i 0.220279 + 0.381534i 0.954893 0.296951i \(-0.0959699\pi\)
−0.734614 + 0.678486i \(0.762637\pi\)
\(192\) −6.93941 + 12.0194i −0.500809 + 0.867427i
\(193\) −13.9940 + 3.74968i −1.00731 + 0.269908i −0.724505 0.689270i \(-0.757932\pi\)
−0.282805 + 0.959177i \(0.591265\pi\)
\(194\) 14.8771 1.06811
\(195\) −6.86892 11.9985i −0.491894 0.859228i
\(196\) −24.8556 + 4.42130i −1.77540 + 0.315807i
\(197\) −4.33340 16.1725i −0.308742 1.15224i −0.929676 0.368379i \(-0.879913\pi\)
0.620934 0.783863i \(-0.286754\pi\)
\(198\) 7.83424 13.5693i 0.556755 0.964328i
\(199\) 9.90747 + 17.1602i 0.702322 + 1.21646i 0.967649 + 0.252298i \(0.0811865\pi\)
−0.265328 + 0.964158i \(0.585480\pi\)
\(200\) 13.9130 13.9130i 0.983795 0.983795i
\(201\) 2.72737 10.1787i 0.192374 0.717948i
\(202\) 30.5084 + 8.17471i 2.14657 + 0.575171i
\(203\) −4.56557 + 5.44936i −0.320440 + 0.382470i
\(204\) 3.13002 + 5.42135i 0.219145 + 0.379570i
\(205\) −14.4373 8.33541i −1.00835 0.582170i
\(206\) −3.78397 14.1220i −0.263641 0.983923i
\(207\) 8.13083i 0.565132i
\(208\) 1.69699 6.24182i 0.117665 0.432792i
\(209\) 10.6819i 0.738885i
\(210\) −22.5669 + 8.23294i −1.55727 + 0.568127i
\(211\) −9.56393 + 16.5652i −0.658408 + 1.14040i 0.322619 + 0.946529i \(0.395437\pi\)
−0.981028 + 0.193868i \(0.937897\pi\)
\(212\) 23.6915 13.6783i 1.62714 0.939428i
\(213\) −7.32191 7.32191i −0.501689 0.501689i
\(214\) 19.5482 + 5.23793i 1.33629 + 0.358058i
\(215\) −19.4282 5.20577i −1.32499 0.355031i
\(216\) 14.7288 14.7288i 1.00217 1.00217i
\(217\) 8.08793 + 11.5323i 0.549044 + 0.782862i
\(218\) 9.57347 + 5.52725i 0.648397 + 0.374352i
\(219\) 18.3613 4.91989i 1.24074 0.332455i
\(220\) −48.9631 −3.30109
\(221\) 3.66735 + 3.69428i 0.246693 + 0.248504i
\(222\) 1.76671i 0.118574i
\(223\) −0.670621 + 0.179692i −0.0449081 + 0.0120331i −0.281203 0.959648i \(-0.590733\pi\)
0.236295 + 0.971681i \(0.424067\pi\)
\(224\) 8.05978 + 3.75096i 0.538517 + 0.250621i
\(225\) 6.96374 4.02052i 0.464249 0.268034i
\(226\) −32.8202 + 32.8202i −2.18316 + 2.18316i
\(227\) −1.34886 + 5.03400i −0.0895267 + 0.334118i −0.996133 0.0878596i \(-0.971997\pi\)
0.906606 + 0.421978i \(0.138664\pi\)
\(228\) 2.81622 10.5103i 0.186509 0.696060i
\(229\) 0.749026 0.749026i 0.0494970 0.0494970i −0.681925 0.731422i \(-0.738857\pi\)
0.731422 + 0.681925i \(0.238857\pi\)
\(230\) 34.2068 19.7493i 2.25553 1.30223i
\(231\) 12.2755 + 5.71292i 0.807669 + 0.375883i
\(232\) −9.87299 + 2.64546i −0.648193 + 0.173683i
\(233\) 1.32103i 0.0865439i −0.999063 0.0432719i \(-0.986222\pi\)
0.999063 0.0432719i \(-0.0137782\pi\)
\(234\) 6.67794 11.4694i 0.436551 0.749780i
\(235\) 21.1097 1.37705
\(236\) 7.07546 1.89586i 0.460573 0.123410i
\(237\) −2.09577 1.20999i −0.136135 0.0785973i
\(238\) 7.40494 5.19331i 0.479991 0.336632i
\(239\) 15.2273 15.2273i 0.984972 0.984972i −0.0149168 0.999889i \(-0.504748\pi\)
0.999889 + 0.0149168i \(0.00474835\pi\)
\(240\) −6.64475 1.78045i −0.428917 0.114928i
\(241\) 3.38927 + 0.908152i 0.218322 + 0.0584992i 0.366322 0.930488i \(-0.380617\pi\)
−0.148000 + 0.988987i \(0.547284\pi\)
\(242\) 11.9191 + 11.9191i 0.766191 + 0.766191i
\(243\) 12.2279 7.05977i 0.784419 0.452885i
\(244\) −9.45024 + 16.3683i −0.604989 + 1.04787i
\(245\) 9.46583 + 20.2200i 0.604750 + 1.29181i
\(246\) 14.8795i 0.948680i
\(247\) 0.0330970 9.04800i 0.00210591 0.575711i
\(248\) 20.2520i 1.28600i
\(249\) −2.25143 8.40244i −0.142678 0.532483i
\(250\) −1.12800 0.651249i −0.0713407 0.0411886i
\(251\) 8.75834 + 15.1699i 0.552822 + 0.957515i 0.998069 + 0.0621079i \(0.0197823\pi\)
−0.445248 + 0.895407i \(0.646884\pi\)
\(252\) −11.3705 9.52643i −0.716276 0.600109i
\(253\) −21.5046 5.76214i −1.35198 0.362262i
\(254\) −0.725163 + 2.70634i −0.0455008 + 0.169811i
\(255\) 3.91458 3.91458i 0.245140 0.245140i
\(256\) 12.8609 + 22.2758i 0.803807 + 1.39224i
\(257\) 3.42559 5.93330i 0.213683 0.370109i −0.739182 0.673506i \(-0.764788\pi\)
0.952864 + 0.303397i \(0.0981208\pi\)
\(258\) 4.64639 + 17.3406i 0.289272 + 1.07958i
\(259\) 1.63563 0.144340i 0.101633 0.00896884i
\(260\) −41.4736 0.151708i −2.57208 0.00940850i
\(261\) −4.17717 −0.258560
\(262\) −22.1189 + 5.92674i −1.36651 + 0.366155i
\(263\) −8.70849 + 15.0836i −0.536989 + 0.930092i 0.462076 + 0.886841i \(0.347105\pi\)
−0.999064 + 0.0432511i \(0.986228\pi\)
\(264\) 9.73350 + 16.8589i 0.599056 + 1.03759i
\(265\) −17.1068 17.1068i −1.05086 1.05086i
\(266\) −15.4842 2.71827i −0.949398 0.166668i
\(267\) −2.17830 + 8.12952i −0.133310 + 0.497518i
\(268\) −22.3525 22.3525i −1.36539 1.36539i
\(269\) −0.145276 + 0.0838752i −0.00885764 + 0.00511396i −0.504422 0.863457i \(-0.668294\pi\)
0.495565 + 0.868571i \(0.334961\pi\)
\(270\) −35.8126 20.6764i −2.17949 1.25833i
\(271\) −0.645525 2.40913i −0.0392128 0.146344i 0.943544 0.331248i \(-0.107470\pi\)
−0.982757 + 0.184903i \(0.940803\pi\)
\(272\) 2.59009 0.157047
\(273\) 10.3801 + 4.87709i 0.628234 + 0.295175i
\(274\) 15.6167 0.943441
\(275\) 5.69850 + 21.2671i 0.343632 + 1.28245i
\(276\) −19.6399 11.3391i −1.18218 0.682532i
\(277\) −7.38731 + 4.26506i −0.443860 + 0.256263i −0.705234 0.708975i \(-0.749158\pi\)
0.261373 + 0.965238i \(0.415825\pi\)
\(278\) −38.0383 38.0383i −2.28139 2.28139i
\(279\) −2.14210 + 7.99444i −0.128244 + 0.478614i
\(280\) −5.55023 + 31.6161i −0.331690 + 1.88942i
\(281\) 15.7936 + 15.7936i 0.942166 + 0.942166i 0.998417 0.0562508i \(-0.0179146\pi\)
−0.0562508 + 0.998417i \(0.517915\pi\)
\(282\) −9.42071 16.3171i −0.560995 0.971672i
\(283\) 4.79048 8.29736i 0.284765 0.493227i −0.687787 0.725912i \(-0.741418\pi\)
0.972552 + 0.232685i \(0.0747512\pi\)
\(284\) −30.0038 + 8.03949i −1.78040 + 0.477056i
\(285\) −9.62263 −0.569996
\(286\) 25.6021 + 25.7901i 1.51388 + 1.52500i
\(287\) 13.7755 1.21565i 0.813143 0.0717576i
\(288\) 1.35194 + 5.04550i 0.0796636 + 0.297309i
\(289\) 7.45780 12.9173i 0.438694 0.759841i
\(290\) 10.1461 + 17.5735i 0.595799 + 1.03195i
\(291\) −5.34138 + 5.34138i −0.313117 + 0.313117i
\(292\) 14.7587 55.0802i 0.863688 3.22333i
\(293\) −14.5286 3.89292i −0.848769 0.227427i −0.191884 0.981418i \(-0.561460\pi\)
−0.656885 + 0.753991i \(0.728126\pi\)
\(294\) 11.4051 16.3404i 0.665157 0.952993i
\(295\) −3.23895 5.61003i −0.188579 0.326628i
\(296\) 2.04450 + 1.18039i 0.118834 + 0.0686090i
\(297\) 6.03264 + 22.5141i 0.350049 + 1.30640i
\(298\) 35.9672i 2.08352i
\(299\) −18.1973 4.94738i −1.05238 0.286114i
\(300\) 22.4277i 1.29486i
\(301\) 15.6744 5.71838i 0.903458 0.329602i
\(302\) 8.51488 14.7482i 0.489976 0.848663i
\(303\) −13.8885 + 8.01855i −0.797875 + 0.460654i
\(304\) −3.18342 3.18342i −0.182582 0.182582i
\(305\) 16.1451 + 4.32606i 0.924464 + 0.247709i
\(306\) 5.13328 + 1.37546i 0.293450 + 0.0786296i
\(307\) 15.7439 15.7439i 0.898552 0.898552i −0.0967560 0.995308i \(-0.530847\pi\)
0.995308 + 0.0967560i \(0.0308467\pi\)
\(308\) 33.2537 23.3218i 1.89481 1.32888i
\(309\) 6.42882 + 3.71168i 0.365723 + 0.211150i
\(310\) 38.8360 10.4061i 2.20574 0.591025i
\(311\) −3.89372 −0.220793 −0.110396 0.993888i \(-0.535212\pi\)
−0.110396 + 0.993888i \(0.535212\pi\)
\(312\) 8.19241 + 14.3103i 0.463804 + 0.810161i
\(313\) 9.97498i 0.563819i 0.959441 + 0.281910i \(0.0909678\pi\)
−0.959441 + 0.281910i \(0.909032\pi\)
\(314\) −43.4620 + 11.6456i −2.45270 + 0.657199i
\(315\) −5.53506 + 11.8933i −0.311865 + 0.670114i
\(316\) −6.28689 + 3.62974i −0.353665 + 0.204189i
\(317\) 10.9787 10.9787i 0.616625 0.616625i −0.328039 0.944664i \(-0.606388\pi\)
0.944664 + 0.328039i \(0.106388\pi\)
\(318\) −5.58871 + 20.8574i −0.313399 + 1.16962i
\(319\) 2.96026 11.0479i 0.165743 0.618561i
\(320\) 26.0348 26.0348i 1.45539 1.45539i
\(321\) −8.89905 + 5.13787i −0.496697 + 0.286768i
\(322\) −13.8250 + 29.7061i −0.770435 + 1.65546i
\(323\) 3.49959 0.937714i 0.194723 0.0521758i
\(324\) 6.92284i 0.384602i
\(325\) 4.76095 + 18.0317i 0.264090 + 1.00022i
\(326\) −2.40115 −0.132987
\(327\) −5.42166 + 1.45273i −0.299818 + 0.0803361i
\(328\) 17.2191 + 9.94146i 0.950766 + 0.548925i
\(329\) −14.3369 + 10.0549i −0.790417 + 0.554343i
\(330\) 27.3280 27.3280i 1.50436 1.50436i
\(331\) 14.1453 + 3.79022i 0.777495 + 0.208329i 0.625680 0.780080i \(-0.284822\pi\)
0.151815 + 0.988409i \(0.451488\pi\)
\(332\) −25.2057 6.75384i −1.38334 0.370665i
\(333\) 0.682212 + 0.682212i 0.0373850 + 0.0373850i
\(334\) −4.14075 + 2.39066i −0.226572 + 0.130811i
\(335\) −13.9776 + 24.2100i −0.763680 + 1.32273i
\(336\) 5.36089 1.95578i 0.292461 0.106696i
\(337\) 11.8235i 0.644066i −0.946728 0.322033i \(-0.895634\pi\)
0.946728 0.322033i \(-0.104366\pi\)
\(338\) 21.6060 + 21.9245i 1.17521 + 1.19254i
\(339\) 23.5670i 1.27999i
\(340\) −4.29823 16.0412i −0.233104 0.869956i
\(341\) −19.6258 11.3309i −1.06280 0.613605i
\(342\) −4.61865 7.99973i −0.249748 0.432576i
\(343\) −16.0599 9.22389i −0.867152 0.498043i
\(344\) 23.1716 + 6.20881i 1.24933 + 0.334756i
\(345\) −5.19072 + 19.3720i −0.279459 + 1.04295i
\(346\) 4.10283 4.10283i 0.220569 0.220569i
\(347\) 5.00685 + 8.67212i 0.268782 + 0.465544i 0.968548 0.248829i \(-0.0800456\pi\)
−0.699766 + 0.714372i \(0.746712\pi\)
\(348\) 5.82539 10.0899i 0.312274 0.540874i
\(349\) −4.39634 16.4073i −0.235330 0.878265i −0.978000 0.208607i \(-0.933107\pi\)
0.742669 0.669658i \(-0.233559\pi\)
\(350\) 32.2782 2.84846i 1.72534 0.152257i
\(351\) 5.04012 + 19.0890i 0.269022 + 1.01890i
\(352\) −14.3025 −0.762326
\(353\) 34.8505 9.33817i 1.85491 0.497021i 0.855135 0.518405i \(-0.173474\pi\)
0.999771 + 0.0213843i \(0.00680736\pi\)
\(354\) −2.89091 + 5.00721i −0.153650 + 0.266130i
\(355\) 13.7349 + 23.7896i 0.728973 + 1.26262i
\(356\) 17.8525 + 17.8525i 0.946181 + 0.946181i
\(357\) −0.794050 + 4.52319i −0.0420256 + 0.239393i
\(358\) 4.60217 17.1755i 0.243232 0.907756i
\(359\) −2.44977 2.44977i −0.129294 0.129294i 0.639498 0.768792i \(-0.279142\pi\)
−0.768792 + 0.639498i \(0.779142\pi\)
\(360\) −16.3341 + 9.43047i −0.860880 + 0.497030i
\(361\) 11.0007 + 6.35125i 0.578984 + 0.334276i
\(362\) −3.02324 11.2829i −0.158898 0.593014i
\(363\) −8.55873 −0.449217
\(364\) 28.2394 19.6514i 1.48015 1.03002i
\(365\) −50.4284 −2.63954
\(366\) −3.86121 14.4102i −0.201828 0.753234i
\(367\) −10.9829 6.34099i −0.573303 0.330997i 0.185164 0.982708i \(-0.440718\pi\)
−0.758468 + 0.651711i \(0.774052\pi\)
\(368\) −8.12600 + 4.69155i −0.423597 + 0.244564i
\(369\) 5.74569 + 5.74569i 0.299109 + 0.299109i
\(370\) 1.21305 4.52715i 0.0630633 0.235355i
\(371\) 19.7665 + 3.47003i 1.02623 + 0.180155i
\(372\) −16.3231 16.3231i −0.846312 0.846312i
\(373\) −15.0192 26.0141i −0.777667 1.34696i −0.933283 0.359141i \(-0.883070\pi\)
0.155617 0.987818i \(-0.450264\pi\)
\(374\) −7.27567 + 12.6018i −0.376216 + 0.651625i
\(375\) 0.638808 0.171168i 0.0329879 0.00883908i
\(376\) −25.1771 −1.29841
\(377\) 2.54169 9.34878i 0.130904 0.481487i
\(378\) 34.1709 3.01549i 1.75756 0.155100i
\(379\) 3.10882 + 11.6023i 0.159689 + 0.595969i 0.998658 + 0.0517891i \(0.0164924\pi\)
−0.838969 + 0.544180i \(0.816841\pi\)
\(380\) −14.4330 + 24.9987i −0.740398 + 1.28241i
\(381\) −0.711310 1.23202i −0.0364415 0.0631185i
\(382\) −10.1942 + 10.1942i −0.521579 + 0.521579i
\(383\) 1.48137 5.52856i 0.0756947 0.282496i −0.917695 0.397285i \(-0.869952\pi\)
0.993390 + 0.114789i \(0.0366191\pi\)
\(384\) −23.9387 6.41436i −1.22162 0.327331i
\(385\) −27.5332 23.0678i −1.40322 1.17564i
\(386\) −17.1520 29.7082i −0.873015 1.51211i
\(387\) 8.49024 + 4.90184i 0.431583 + 0.249175i
\(388\) 5.86486 + 21.8879i 0.297743 + 1.11119i
\(389\) 16.4483i 0.833960i 0.908916 + 0.416980i \(0.136912\pi\)
−0.908916 + 0.416980i \(0.863088\pi\)
\(390\) 23.2325 23.0632i 1.17643 1.16785i
\(391\) 7.55112i 0.381877i
\(392\) −11.2897 24.1160i −0.570216 1.21804i
\(393\) 5.81352 10.0693i 0.293253 0.507930i
\(394\) 34.3329 19.8221i 1.72967 0.998624i
\(395\) 4.53956 + 4.53956i 0.228410 + 0.228410i
\(396\) 23.0522 + 6.17683i 1.15842 + 0.310397i
\(397\) 10.9116 + 2.92375i 0.547636 + 0.146739i 0.522020 0.852933i \(-0.325179\pi\)
0.0256162 + 0.999672i \(0.491845\pi\)
\(398\) −33.1761 + 33.1761i −1.66297 + 1.66297i
\(399\) 6.53529 4.58340i 0.327174 0.229457i
\(400\) 8.03625 + 4.63973i 0.401812 + 0.231987i
\(401\) −23.3830 + 6.26544i −1.16769 + 0.312881i −0.790033 0.613064i \(-0.789937\pi\)
−0.377656 + 0.925946i \(0.623270\pi\)
\(402\) 24.9514 1.24446
\(403\) −16.5887 9.65855i −0.826341 0.481127i
\(404\) 48.1082i 2.39347i
\(405\) 5.91359 1.58454i 0.293849 0.0787366i
\(406\) −15.2613 7.10250i −0.757407 0.352491i
\(407\) −2.28780 + 1.32086i −0.113402 + 0.0654726i
\(408\) −4.66883 + 4.66883i −0.231142 + 0.231142i
\(409\) 0.0933824 0.348508i 0.00461746 0.0172326i −0.963579 0.267425i \(-0.913827\pi\)
0.968196 + 0.250192i \(0.0804939\pi\)
\(410\) 10.2165 38.1283i 0.504555 1.88302i
\(411\) −5.60692 + 5.60692i −0.276569 + 0.276569i
\(412\) 19.2852 11.1343i 0.950114 0.548549i
\(413\) 4.87190 + 2.26734i 0.239730 + 0.111568i
\(414\) −18.5963 + 4.98286i −0.913957 + 0.244894i
\(415\) 23.0769i 1.13280i
\(416\) −12.1148 0.0443150i −0.593975 0.00217272i
\(417\) 27.3140 1.33757
\(418\) 24.4310 6.54626i 1.19496 0.320188i
\(419\) 15.9181 + 9.19033i 0.777651 + 0.448977i 0.835597 0.549343i \(-0.185122\pi\)
−0.0579460 + 0.998320i \(0.518455\pi\)
\(420\) −21.0091 29.9560i −1.02514 1.46170i
\(421\) 20.7439 20.7439i 1.01099 1.01099i 0.0110561 0.999939i \(-0.496481\pi\)
0.999939 0.0110561i \(-0.00351933\pi\)
\(422\) −43.7479 11.7222i −2.12962 0.570629i
\(423\) −9.93864 2.66305i −0.483233 0.129482i
\(424\) 20.4030 + 20.4030i 0.990855 + 0.990855i
\(425\) −6.46724 + 3.73386i −0.313707 + 0.181119i
\(426\) 12.2590 21.2333i 0.593952 1.02876i
\(427\) −13.0256 + 4.75205i −0.630354 + 0.229968i
\(428\) 30.8252i 1.48999i
\(429\) −18.4515 0.0674943i −0.890846 0.00325865i
\(430\) 47.6251i 2.29669i
\(431\) −2.49781 9.32194i −0.120315 0.449022i 0.879314 0.476242i \(-0.158001\pi\)
−0.999629 + 0.0272197i \(0.991335\pi\)
\(432\) 8.50747 + 4.91179i 0.409316 + 0.236319i
\(433\) −13.6960 23.7221i −0.658186 1.14001i −0.981085 0.193578i \(-0.937991\pi\)
0.322899 0.946433i \(-0.395343\pi\)
\(434\) −21.4192 + 25.5655i −1.02816 + 1.22718i
\(435\) −9.95227 2.66670i −0.477175 0.127859i
\(436\) −4.35791 + 16.2639i −0.208706 + 0.778901i
\(437\) −9.28091 + 9.28091i −0.443966 + 0.443966i
\(438\) 22.5048 + 38.9795i 1.07532 + 1.86251i
\(439\) −17.2958 + 29.9571i −0.825481 + 1.42978i 0.0760695 + 0.997103i \(0.475763\pi\)
−0.901551 + 0.432673i \(0.857570\pi\)
\(440\) −13.3663 49.8838i −0.637214 2.37812i
\(441\) −1.90578 10.7139i −0.0907516 0.510185i
\(442\) −6.20181 + 10.6517i −0.294990 + 0.506649i
\(443\) 7.97215 0.378768 0.189384 0.981903i \(-0.439351\pi\)
0.189384 + 0.981903i \(0.439351\pi\)
\(444\) −2.59927 + 0.696472i −0.123356 + 0.0330531i
\(445\) 11.1637 19.3361i 0.529209 0.916617i
\(446\) −0.821959 1.42368i −0.0389209 0.0674130i
\(447\) 12.9134 + 12.9134i 0.610784 + 0.610784i
\(448\) −5.28101 + 30.0825i −0.249504 + 1.42127i
\(449\) −5.25579 + 19.6149i −0.248036 + 0.925683i 0.723797 + 0.690013i \(0.242395\pi\)
−0.971833 + 0.235670i \(0.924271\pi\)
\(450\) 13.4631 + 13.4631i 0.634655 + 0.634655i
\(451\) −19.2682 + 11.1245i −0.907302 + 0.523831i
\(452\) −61.2250 35.3483i −2.87978 1.66264i
\(453\) 2.23797 + 8.35221i 0.105149 + 0.392421i
\(454\) −12.3400 −0.579146
\(455\) −23.2502 19.6246i −1.08998 0.920015i
\(456\) 11.4767 0.537446
\(457\) 0.363747 + 1.35752i 0.0170154 + 0.0635022i 0.973912 0.226928i \(-0.0728682\pi\)
−0.956896 + 0.290430i \(0.906202\pi\)
\(458\) 2.17215 + 1.25409i 0.101498 + 0.0585998i
\(459\) −6.84646 + 3.95280i −0.319565 + 0.184501i
\(460\) 42.5412 + 42.5412i 1.98349 + 1.98349i
\(461\) 4.89285 18.2604i 0.227883 0.850469i −0.753347 0.657624i \(-0.771562\pi\)
0.981229 0.192846i \(-0.0617717\pi\)
\(462\) −5.54333 + 31.5768i −0.257899 + 1.46908i
\(463\) 22.4573 + 22.4573i 1.04368 + 1.04368i 0.999002 + 0.0446754i \(0.0142253\pi\)
0.0446754 + 0.999002i \(0.485775\pi\)
\(464\) −2.41026 4.17468i −0.111893 0.193805i
\(465\) −10.2073 + 17.6795i −0.473352 + 0.819869i
\(466\) 3.02138 0.809576i 0.139963 0.0375029i
\(467\) 28.3889 1.31368 0.656841 0.754029i \(-0.271892\pi\)
0.656841 + 0.754029i \(0.271892\pi\)
\(468\) 19.5070 + 5.30343i 0.901711 + 0.245151i
\(469\) −2.03853 23.1002i −0.0941304 1.06667i
\(470\) 12.9368 + 48.2807i 0.596729 + 2.22702i
\(471\) 11.4231 19.7854i 0.526350 0.911665i
\(472\) 3.86302 + 6.69096i 0.177810 + 0.307976i
\(473\) −18.9813 + 18.9813i −0.872762 + 0.872762i
\(474\) 1.48305 5.53481i 0.0681187 0.254222i
\(475\) 12.5379 + 3.35953i 0.575280 + 0.154146i
\(476\) 10.5598 + 8.84721i 0.484009 + 0.405511i
\(477\) 5.89597 + 10.2121i 0.269958 + 0.467581i
\(478\) 44.1586 + 25.4950i 2.01977 + 1.16611i
\(479\) −0.905222 3.37834i −0.0413607 0.154360i 0.942157 0.335172i \(-0.108794\pi\)
−0.983518 + 0.180811i \(0.942128\pi\)
\(480\) 12.8842i 0.588079i
\(481\) −1.94194 + 1.11173i −0.0885449 + 0.0506905i
\(482\) 8.30825i 0.378430i
\(483\) −5.70185 15.6291i −0.259443 0.711148i
\(484\) −12.8373 + 22.2348i −0.583512 + 1.01067i
\(485\) 17.3546 10.0197i 0.788033 0.454971i
\(486\) 23.6403 + 23.6403i 1.07235 + 1.07235i
\(487\) −23.4826 6.29214i −1.06410 0.285124i −0.316032 0.948749i \(-0.602351\pi\)
−0.748066 + 0.663625i \(0.769017\pi\)
\(488\) −19.2559 5.15960i −0.871672 0.233564i
\(489\) 0.862092 0.862092i 0.0389851 0.0389851i
\(490\) −40.4448 + 34.0411i −1.82711 + 1.53782i
\(491\) −5.24444 3.02788i −0.236678 0.136646i 0.376971 0.926225i \(-0.376966\pi\)
−0.613649 + 0.789579i \(0.710299\pi\)
\(492\) −21.8914 + 5.86579i −0.986941 + 0.264450i
\(493\) 3.87934 0.174717
\(494\) 20.7142 5.46923i 0.931978 0.246072i
\(495\) 21.1054i 0.948615i
\(496\) −9.22569 + 2.47202i −0.414246 + 0.110997i
\(497\) −20.6595 9.61475i −0.926704 0.431280i
\(498\) 17.8377 10.2986i 0.799328 0.461492i
\(499\) 12.9362 12.9362i 0.579103 0.579103i −0.355553 0.934656i \(-0.615707\pi\)
0.934656 + 0.355553i \(0.115707\pi\)
\(500\) 0.513471 1.91630i 0.0229631 0.0856995i
\(501\) 0.628339 2.34499i 0.0280721 0.104767i
\(502\) −29.3281 + 29.3281i −1.30898 + 1.30898i
\(503\) 7.01237 4.04859i 0.312666 0.180518i −0.335453 0.942057i \(-0.608889\pi\)
0.648119 + 0.761539i \(0.275556\pi\)
\(504\) 6.60155 14.1849i 0.294056 0.631847i
\(505\) 41.0947 11.0113i 1.82869 0.489996i
\(506\) 52.7150i 2.34347i
\(507\) −15.6289 0.114340i −0.694104 0.00507804i
\(508\) −4.26758 −0.189343
\(509\) 15.6029 4.18077i 0.691584 0.185309i 0.104126 0.994564i \(-0.466795\pi\)
0.587458 + 0.809255i \(0.300129\pi\)
\(510\) 11.3521 + 6.55416i 0.502681 + 0.290223i
\(511\) 34.2489 24.0198i 1.51508 1.06257i
\(512\) −13.9135 + 13.9135i −0.614896 + 0.614896i
\(513\) 13.2731 + 3.55652i 0.586023 + 0.157024i
\(514\) 15.6696 + 4.19864i 0.691154 + 0.185194i
\(515\) −13.9252 13.9252i −0.613619 0.613619i
\(516\) −23.6806 + 13.6720i −1.04248 + 0.601876i
\(517\) 14.0866 24.3987i 0.619527 1.07305i
\(518\) 1.33250 + 3.65244i 0.0585465 + 0.160479i
\(519\) 2.94610i 0.129320i
\(520\) −11.1672 42.2949i −0.489715 1.85475i
\(521\) 32.3470i 1.41715i 0.705636 + 0.708574i \(0.250661\pi\)
−0.705636 + 0.708574i \(0.749339\pi\)
\(522\) −2.55991 9.55373i −0.112044 0.418155i
\(523\) 18.4602 + 10.6580i 0.807210 + 0.466043i 0.845986 0.533205i \(-0.179013\pi\)
−0.0387760 + 0.999248i \(0.512346\pi\)
\(524\) −17.4394 30.2060i −0.761845 1.31956i
\(525\) −10.5663 + 12.6116i −0.461150 + 0.550417i
\(526\) −39.8349 10.6737i −1.73688 0.465397i
\(527\) 1.98937 7.42445i 0.0866585 0.323414i
\(528\) −6.49191 + 6.49191i −0.282524 + 0.282524i
\(529\) 2.17769 + 3.77187i 0.0946821 + 0.163994i
\(530\) 28.6419 49.6092i 1.24413 2.15489i
\(531\) 0.817205 + 3.04985i 0.0354637 + 0.132352i
\(532\) −2.10494 23.8527i −0.0912606 1.03415i
\(533\) −16.3553 + 9.36315i −0.708428 + 0.405563i
\(534\) −19.9282 −0.862378
\(535\) 26.3314 7.05547i 1.13840 0.305034i
\(536\) 16.6708 28.8747i 0.720070 1.24720i
\(537\) 4.51426 + 7.81892i 0.194805 + 0.337411i
\(538\) −0.280864 0.280864i −0.0121089 0.0121089i
\(539\) 29.6869 + 2.55224i 1.27871 + 0.109933i
\(540\) 16.3021 60.8404i 0.701532 2.61815i
\(541\) 13.0949 + 13.0949i 0.562992 + 0.562992i 0.930156 0.367164i \(-0.119671\pi\)
−0.367164 + 0.930156i \(0.619671\pi\)
\(542\) 5.11440 2.95280i 0.219682 0.126834i
\(543\) 5.13637 + 2.96548i 0.220423 + 0.127261i
\(544\) −1.25555 4.68576i −0.0538311 0.200900i
\(545\) 14.8904 0.637833
\(546\) −4.79325 + 26.7296i −0.205132 + 1.14392i
\(547\) −35.0943 −1.50053 −0.750263 0.661140i \(-0.770073\pi\)
−0.750263 + 0.661140i \(0.770073\pi\)
\(548\) 6.15643 + 22.9761i 0.262990 + 0.981490i
\(549\) −7.05549 4.07349i −0.301121 0.173852i
\(550\) −45.1483 + 26.0664i −1.92513 + 1.11148i
\(551\) −4.76801 4.76801i −0.203124 0.203124i
\(552\) 6.19086 23.1046i 0.263500 0.983397i
\(553\) −5.24534 0.920824i −0.223054 0.0391574i
\(554\) −14.2820 14.2820i −0.606782 0.606782i
\(555\) 1.18987 + 2.06092i 0.0505073 + 0.0874812i
\(556\) 40.9684 70.9594i 1.73745 3.00935i
\(557\) 9.16086 2.45464i 0.388158 0.104007i −0.0594618 0.998231i \(-0.518938\pi\)
0.447620 + 0.894224i \(0.352272\pi\)
\(558\) −19.5971 −0.829610
\(559\) −16.1367 + 16.0191i −0.682510 + 0.677535i
\(560\) −15.0800 + 1.33077i −0.637248 + 0.0562354i
\(561\) −1.91227 7.13668i −0.0807360 0.301311i
\(562\) −26.4431 + 45.8008i −1.11544 + 1.93199i
\(563\) −15.8351 27.4272i −0.667369 1.15592i −0.978637 0.205595i \(-0.934087\pi\)
0.311268 0.950322i \(-0.399246\pi\)
\(564\) 20.2928 20.2928i 0.854479 0.854479i
\(565\) −16.1815 + 60.3901i −0.680760 + 2.54063i
\(566\) 21.9129 + 5.87155i 0.921069 + 0.246800i
\(567\) −3.26153 + 3.89288i −0.136971 + 0.163486i
\(568\) −16.3813 28.3733i −0.687345 1.19052i
\(569\) −6.05848 3.49787i −0.253985 0.146638i 0.367603 0.929983i \(-0.380179\pi\)
−0.621587 + 0.783345i \(0.713512\pi\)
\(570\) −5.89708 22.0082i −0.247002 0.921823i
\(571\) 15.2998i 0.640277i −0.947371 0.320139i \(-0.896271\pi\)
0.947371 0.320139i \(-0.103729\pi\)
\(572\) −27.8508 + 47.8340i −1.16450 + 2.00004i
\(573\) 7.32009i 0.305801i
\(574\) 11.2225 + 30.7614i 0.468417 + 1.28396i
\(575\) 13.5266 23.4288i 0.564099 0.977049i
\(576\) −15.5418 + 8.97304i −0.647574 + 0.373877i
\(577\) −29.5539 29.5539i −1.23035 1.23035i −0.963831 0.266516i \(-0.914128\pi\)
−0.266516 0.963831i \(-0.585872\pi\)
\(578\) 34.1139 + 9.14080i 1.41895 + 0.380207i
\(579\) 16.8244 + 4.50807i 0.699196 + 0.187349i
\(580\) −21.8553 + 21.8553i −0.907491 + 0.907491i
\(581\) −10.9919 15.6729i −0.456020 0.650222i
\(582\) −15.4898 8.94304i −0.642073 0.370701i
\(583\) −31.1876 + 8.35668i −1.29166 + 0.346098i
\(584\) 60.1449 2.48881
\(585\) 0.0653930 17.8770i 0.00270367 0.739125i
\(586\) 35.6145i 1.47122i
\(587\) 0.941084 0.252163i 0.0388427 0.0104079i −0.239345 0.970934i \(-0.576933\pi\)
0.278188 + 0.960527i \(0.410266\pi\)
\(588\) 28.5370 + 10.3380i 1.17684 + 0.426331i
\(589\) −11.5703 + 6.68012i −0.476746 + 0.275250i
\(590\) 10.8459 10.8459i 0.446519 0.446519i
\(591\) −5.20986 + 19.4435i −0.214305 + 0.799797i
\(592\) −0.288165 + 1.07545i −0.0118435 + 0.0442006i
\(593\) −27.9207 + 27.9207i −1.14657 + 1.14657i −0.159344 + 0.987223i \(0.550938\pi\)
−0.987223 + 0.159344i \(0.949062\pi\)
\(594\) −47.7957 + 27.5949i −1.96108 + 1.13223i
\(595\) 5.14042 11.0454i 0.210737 0.452816i
\(596\) 52.9167 14.1790i 2.16755 0.580794i
\(597\) 23.8226i 0.974994i
\(598\) 0.163333 44.6516i 0.00667917 1.82594i
\(599\) 16.5488 0.676164 0.338082 0.941117i \(-0.390222\pi\)
0.338082 + 0.941117i \(0.390222\pi\)
\(600\) −22.8494 + 6.12248i −0.932824 + 0.249949i
\(601\) −9.99562 5.77097i −0.407730 0.235403i 0.282084 0.959390i \(-0.408974\pi\)
−0.689814 + 0.723987i \(0.742308\pi\)
\(602\) 22.6845 + 32.3450i 0.924552 + 1.31828i
\(603\) 9.63495 9.63495i 0.392365 0.392365i
\(604\) 25.0550 + 6.71347i 1.01947 + 0.273167i
\(605\) 21.9316 + 5.87655i 0.891645 + 0.238916i
\(606\) −26.8508 26.8508i −1.09074 1.09074i
\(607\) −18.5137 + 10.6889i −0.751447 + 0.433848i −0.826216 0.563353i \(-0.809511\pi\)
0.0747696 + 0.997201i \(0.476178\pi\)
\(608\) −4.21600 + 7.30232i −0.170981 + 0.296148i
\(609\) 8.02936 2.92929i 0.325366 0.118701i
\(610\) 39.5770i 1.60243i
\(611\) 12.0075 20.6230i 0.485770 0.834315i
\(612\) 8.09456i 0.327203i
\(613\) 8.07793 + 30.1473i 0.326265 + 1.21764i 0.913034 + 0.407882i \(0.133733\pi\)
−0.586770 + 0.809754i \(0.699601\pi\)
\(614\) 45.6568 + 26.3600i 1.84256 + 1.06380i
\(615\) 10.0213 + 17.3574i 0.404097 + 0.699917i
\(616\) 32.8382 + 27.5124i 1.32309 + 1.10851i
\(617\) 26.9421 + 7.21911i 1.08465 + 0.290630i 0.756498 0.653996i \(-0.226909\pi\)
0.328149 + 0.944626i \(0.393575\pi\)
\(618\) −4.54929 + 16.9782i −0.182999 + 0.682963i
\(619\) 34.0406 34.0406i 1.36821 1.36821i 0.505214 0.862994i \(-0.331414\pi\)
0.862994 0.505214i \(-0.168586\pi\)
\(620\) 30.6199 + 53.0352i 1.22972 + 2.12994i
\(621\) 14.3198 24.8026i 0.574633 0.995294i
\(622\) −2.38621 8.90546i −0.0956783 0.357076i
\(623\) 1.62813 + 18.4497i 0.0652298 + 0.739171i
\(624\) −5.51901 + 5.47878i −0.220937 + 0.219327i
\(625\) 24.1079 0.964316
\(626\) −22.8141 + 6.11301i −0.911834 + 0.244325i
\(627\) −6.42121 + 11.1219i −0.256438 + 0.444164i
\(628\) −34.2672 59.3525i −1.36741 2.36842i
\(629\) −0.633571 0.633571i −0.0252621 0.0252621i
\(630\) −30.5937 5.37075i −1.21888 0.213976i
\(631\) −2.94853 + 11.0041i −0.117379 + 0.438064i −0.999454 0.0330448i \(-0.989480\pi\)
0.882075 + 0.471109i \(0.156146\pi\)
\(632\) −5.41423 5.41423i −0.215367 0.215367i
\(633\) 19.9156 11.4983i 0.791575 0.457016i
\(634\) 31.8379 + 18.3816i 1.26444 + 0.730026i
\(635\) 0.976791 + 3.64543i 0.0387628 + 0.144665i
\(636\) −32.8896 −1.30416
\(637\) 25.1380 + 2.25382i 0.996005 + 0.0892998i
\(638\) 27.0820 1.07219
\(639\) −3.46539 12.9330i −0.137089 0.511622i
\(640\) 56.9382 + 32.8733i 2.25068 + 1.29943i
\(641\) −16.9100 + 9.76301i −0.667906 + 0.385616i −0.795283 0.606239i \(-0.792678\pi\)
0.127377 + 0.991854i \(0.459344\pi\)
\(642\) −17.2046 17.2046i −0.679012 0.679012i
\(643\) −9.35047 + 34.8964i −0.368747 + 1.37618i 0.493524 + 0.869732i \(0.335709\pi\)
−0.862270 + 0.506449i \(0.830958\pi\)
\(644\) −49.1552 8.62924i −1.93698 0.340040i
\(645\) 17.0990 + 17.0990i 0.673272 + 0.673272i
\(646\) 4.28935 + 7.42937i 0.168762 + 0.292304i
\(647\) 2.89695 5.01767i 0.113891 0.197265i −0.803445 0.595379i \(-0.797002\pi\)
0.917336 + 0.398114i \(0.130335\pi\)
\(648\) −7.05301 + 1.88985i −0.277069 + 0.0742403i
\(649\) −8.64544 −0.339363
\(650\) −38.3231 + 21.9393i −1.50316 + 0.860532i
\(651\) −1.48865 16.8691i −0.0583448 0.661152i
\(652\) −0.946581 3.53269i −0.0370710 0.138351i
\(653\) −18.1035 + 31.3562i −0.708445 + 1.22706i 0.256989 + 0.966414i \(0.417270\pi\)
−0.965434 + 0.260648i \(0.916064\pi\)
\(654\) −6.64516 11.5098i −0.259846 0.450067i
\(655\) −21.8108 + 21.8108i −0.852217 + 0.852217i
\(656\) −2.42697 + 9.05757i −0.0947573 + 0.353639i
\(657\) 23.7421 + 6.36168i 0.926269 + 0.248193i
\(658\) −31.7829 26.6283i −1.23903 1.03808i
\(659\) −10.3685 17.9588i −0.403901 0.699576i 0.590292 0.807190i \(-0.299013\pi\)
−0.994193 + 0.107613i \(0.965679\pi\)
\(660\) 50.9796 + 29.4331i 1.98438 + 1.14568i
\(661\) 8.78410 + 32.7827i 0.341662 + 1.27510i 0.896464 + 0.443117i \(0.146128\pi\)
−0.554801 + 0.831983i \(0.687206\pi\)
\(662\) 34.6749i 1.34768i
\(663\) −1.59765 6.05097i −0.0620476 0.235000i
\(664\) 27.5234i 1.06811i
\(665\) −19.8936 + 7.25763i −0.771440 + 0.281439i
\(666\) −1.14222 + 1.97839i −0.0442603 + 0.0766611i
\(667\) −12.1708 + 7.02683i −0.471257 + 0.272080i
\(668\) −5.14963 5.14963i −0.199245 0.199245i
\(669\) 0.806257 + 0.216036i 0.0311717 + 0.00835243i
\(670\) −63.9374 17.1320i −2.47012 0.661866i
\(671\) 15.7737 15.7737i 0.608937 0.608937i
\(672\) −6.13691 8.75039i −0.236737 0.337554i
\(673\) −35.7571 20.6444i −1.37834 0.795783i −0.386377 0.922341i \(-0.626274\pi\)
−0.991959 + 0.126558i \(0.959607\pi\)
\(674\) 27.0419 7.24584i 1.04161 0.279099i
\(675\) −28.3233 −1.09016
\(676\) −23.7389 + 40.4309i −0.913034 + 1.55504i
\(677\) 45.2354i 1.73854i −0.494341 0.869268i \(-0.664590\pi\)
0.494341 0.869268i \(-0.335410\pi\)
\(678\) 53.9009 14.4427i 2.07005 0.554669i
\(679\) −7.01402 + 15.0712i −0.269173 + 0.578380i
\(680\) 15.1695 8.75810i 0.581723 0.335858i
\(681\) 4.43048 4.43048i 0.169776 0.169776i
\(682\) 13.8880 51.8307i 0.531799 1.98470i
\(683\) 11.2563 42.0091i 0.430710 1.60743i −0.320419 0.947276i \(-0.603824\pi\)
0.751129 0.660156i \(-0.229510\pi\)
\(684\) 9.94884 9.94884i 0.380403 0.380403i
\(685\) 18.2174 10.5178i 0.696051 0.401866i
\(686\) 11.2542 42.3838i 0.429686 1.61822i
\(687\) −1.23013 + 0.329613i −0.0469325 + 0.0125755i
\(688\) 11.3136i 0.431326i
\(689\) −26.4429 + 6.98179i −1.00740 + 0.265985i
\(690\) −47.4874 −1.80781
\(691\) −20.7975 + 5.57267i −0.791174 + 0.211994i −0.631705 0.775209i \(-0.717645\pi\)
−0.159468 + 0.987203i \(0.550978\pi\)
\(692\) 7.65370 + 4.41887i 0.290950 + 0.167980i
\(693\) 10.0528 + 14.3339i 0.381874 + 0.544499i
\(694\) −16.7659 + 16.7659i −0.636425 + 0.636425i
\(695\) −69.9917 18.7542i −2.65494 0.711388i
\(696\) 11.8699 + 3.18052i 0.449926 + 0.120557i
\(697\) −5.33603 5.33603i −0.202117 0.202117i
\(698\) 34.8315 20.1100i 1.31839 0.761174i
\(699\) −0.794111 + 1.37544i −0.0300360 + 0.0520239i
\(700\) 16.9155 + 46.3664i 0.639347 + 1.75249i
\(701\) 8.77295i 0.331350i −0.986180 0.165675i \(-0.947020\pi\)
0.986180 0.165675i \(-0.0529803\pi\)
\(702\) −40.5703 + 23.2258i −1.53123 + 0.876602i
\(703\) 1.55742i 0.0587391i
\(704\) −12.7180 47.4642i −0.479327 1.78887i
\(705\) −21.9791 12.6896i −0.827781 0.477920i
\(706\) 42.7152 + 73.9850i 1.60761 + 2.78446i
\(707\) −22.6650 + 27.0524i −0.852405 + 1.01741i
\(708\) −8.50651 2.27931i −0.319694 0.0856618i
\(709\) −10.9783 + 40.9718i −0.412300 + 1.53873i 0.377881 + 0.925854i \(0.376653\pi\)
−0.790182 + 0.612872i \(0.790014\pi\)
\(710\) −45.9926 + 45.9926i −1.72607 + 1.72607i
\(711\) −1.56458 2.70994i −0.0586765 0.101631i
\(712\) −13.3147 + 23.0617i −0.498989 + 0.864274i
\(713\) 7.20689 + 26.8965i 0.269900 + 1.00728i
\(714\) −10.8317 + 0.955871i −0.405368 + 0.0357726i
\(715\) 47.2352 + 12.8420i 1.76650 + 0.480264i
\(716\) 27.0838 1.01217
\(717\) −25.0080 + 6.70086i −0.933939 + 0.250248i
\(718\) 4.10165 7.10426i 0.153072 0.265129i
\(719\) 2.80010 + 4.84991i 0.104426 + 0.180871i 0.913504 0.406831i \(-0.133366\pi\)
−0.809078 + 0.587702i \(0.800033\pi\)
\(720\) −6.28980 6.28980i −0.234407 0.234407i
\(721\) 16.0902 + 2.82465i 0.599231 + 0.105196i
\(722\) −7.78453 + 29.0523i −0.289710 + 1.08121i
\(723\) −2.98294 2.98294i −0.110937 0.110937i
\(724\) 15.4081 8.89587i 0.572637 0.330612i
\(725\) 12.0364 + 6.94923i 0.447021 + 0.258088i
\(726\) −5.24509 19.5749i −0.194664 0.726494i
\(727\) 32.0200 1.18756 0.593778 0.804629i \(-0.297636\pi\)
0.593778 + 0.804629i \(0.297636\pi\)
\(728\) 27.7300 + 23.4058i 1.02774 + 0.867478i
\(729\) −22.7339 −0.841996
\(730\) −30.9043 115.336i −1.14382 4.26879i
\(731\) −7.88490 4.55235i −0.291633 0.168375i
\(732\) 19.6789 11.3616i 0.727352 0.419937i
\(733\) 0.647616 + 0.647616i 0.0239202 + 0.0239202i 0.718966 0.695046i \(-0.244616\pi\)
−0.695046 + 0.718966i \(0.744616\pi\)
\(734\) 7.77195 29.0053i 0.286868 1.07061i
\(735\) 2.29914 26.7429i 0.0848050 0.986428i
\(736\) 12.4266 + 12.4266i 0.458051 + 0.458051i
\(737\) 18.6546 + 32.3108i 0.687152 + 1.19018i
\(738\) −9.61998 + 16.6623i −0.354116 + 0.613348i
\(739\) −8.47234 + 2.27016i −0.311660 + 0.0835090i −0.411259 0.911519i \(-0.634911\pi\)
0.0995988 + 0.995028i \(0.468244\pi\)
\(740\) 7.13877 0.262427
\(741\) −5.47347 + 9.40074i −0.201073 + 0.345345i
\(742\) 4.17719 + 47.3351i 0.153349 + 1.73773i
\(743\) −9.56609 35.7011i −0.350946 1.30975i −0.885510 0.464620i \(-0.846191\pi\)
0.534564 0.845128i \(-0.320476\pi\)
\(744\) 12.1740 21.0860i 0.446321 0.773050i
\(745\) −24.2238 41.9569i −0.887492 1.53718i
\(746\) 50.2933 50.2933i 1.84137 1.84137i
\(747\) 2.91122 10.8648i 0.106516 0.397523i
\(748\) −21.4087 5.73643i −0.782778 0.209745i
\(749\) −14.5226 + 17.3338i −0.530643 + 0.633363i
\(750\) 0.782967 + 1.35614i 0.0285899 + 0.0495192i
\(751\) −10.7508 6.20698i −0.392303 0.226496i 0.290855 0.956767i \(-0.406060\pi\)
−0.683157 + 0.730271i \(0.739394\pi\)
\(752\) −3.07320 11.4693i −0.112068 0.418243i
\(753\) 21.0595i 0.767452i
\(754\) 22.9395 + 0.0839112i 0.835408 + 0.00305586i
\(755\) 22.9390i 0.834835i
\(756\) 17.9074 + 49.0852i 0.651286 + 1.78521i
\(757\) 11.7793 20.4023i 0.428124 0.741533i −0.568582 0.822626i \(-0.692508\pi\)
0.996707 + 0.0810934i \(0.0258412\pi\)
\(758\) −24.6307 + 14.2206i −0.894628 + 0.516514i
\(759\) 18.9264 + 18.9264i 0.686986 + 0.686986i
\(760\) −29.4088 7.88007i −1.06677 0.285840i
\(761\) 13.0838 + 3.50579i 0.474286 + 0.127085i 0.488041 0.872821i \(-0.337712\pi\)
−0.0137545 + 0.999905i \(0.504378\pi\)
\(762\) 2.38189 2.38189i 0.0862866 0.0862866i
\(763\) −10.1129 + 7.09249i −0.366112 + 0.256765i
\(764\) −19.0169 10.9794i −0.688008 0.397222i
\(765\) 6.91450 1.85273i 0.249994 0.0669857i
\(766\) 13.5524 0.489667
\(767\) −7.32301 0.0267871i −0.264419 0.000967225i
\(768\) 30.9242i 1.11588i
\(769\) 29.8604 8.00107i 1.07679 0.288526i 0.323512 0.946224i \(-0.395136\pi\)
0.753282 + 0.657698i \(0.228470\pi\)
\(770\) 35.8857 77.1087i 1.29323 2.77880i
\(771\) −7.13334 + 4.11844i −0.256901 + 0.148322i
\(772\) 36.9465 36.9465i 1.32973 1.32973i
\(773\) 5.17138 19.2999i 0.186002 0.694167i −0.808412 0.588617i \(-0.799673\pi\)
0.994414 0.105551i \(-0.0336606\pi\)
\(774\) −6.00804 + 22.4223i −0.215954 + 0.805953i