Properties

Label 690.2.r.b.49.3
Level $690$
Weight $2$
Character 690.49
Analytic conductor $5.510$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 49.3
Character \(\chi\) \(=\) 690.49
Dual form 690.2.r.b.169.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.989821 + 0.142315i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.959493 - 0.281733i) q^{4} +(-0.0689747 - 2.23500i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(-1.33127 - 2.07150i) q^{7} +(-0.909632 + 0.415415i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.989821 + 0.142315i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.959493 - 0.281733i) q^{4} +(-0.0689747 - 2.23500i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(-1.33127 - 2.07150i) q^{7} +(-0.909632 + 0.415415i) q^{8} +(0.654861 + 0.755750i) q^{9} +(0.386347 + 2.20244i) q^{10} +(0.195345 - 1.35866i) q^{11} +(0.989821 + 0.142315i) q^{12} +(-1.28134 + 1.99380i) q^{13} +(1.61253 + 1.86095i) q^{14} +(0.865713 - 2.06168i) q^{15} +(0.841254 - 0.540641i) q^{16} +(1.22064 - 4.15712i) q^{17} +(-0.755750 - 0.654861i) q^{18} +(-1.41790 + 0.416332i) q^{19} +(-0.695854 - 2.12504i) q^{20} +(-0.350435 - 2.43733i) q^{21} +1.37263i q^{22} +(-3.09115 - 3.66671i) q^{23} -1.00000 q^{24} +(-4.99048 + 0.308318i) q^{25} +(0.984548 - 2.15586i) q^{26} +(0.281733 + 0.959493i) q^{27} +(-1.86095 - 1.61253i) q^{28} +(-4.32057 - 1.26863i) q^{29} +(-0.563493 + 2.16390i) q^{30} +(-0.724175 - 1.58572i) q^{31} +(-0.755750 + 0.654861i) q^{32} +(0.742099 - 1.15473i) q^{33} +(-0.616596 + 4.28852i) q^{34} +(-4.53798 + 3.11828i) q^{35} +(0.841254 + 0.540641i) q^{36} +(-4.86649 + 4.21684i) q^{37} +(1.34422 - 0.613883i) q^{38} +(-1.99380 + 1.28134i) q^{39} +(0.991196 + 2.00438i) q^{40} +(7.09843 - 8.19203i) q^{41} +(0.693737 + 2.36265i) q^{42} +(1.80187 + 0.822885i) q^{43} +(-0.195345 - 1.35866i) q^{44} +(1.64393 - 1.51574i) q^{45} +(3.58151 + 3.18948i) q^{46} -6.48708i q^{47} +(0.989821 - 0.142315i) q^{48} +(0.389082 - 0.851971i) q^{49} +(4.89581 - 1.01540i) q^{50} +(2.83726 - 3.27438i) q^{51} +(-0.667716 + 2.27403i) q^{52} +(4.17973 + 6.50379i) q^{53} +(-0.415415 - 0.909632i) q^{54} +(-3.05008 - 0.342885i) q^{55} +(2.07150 + 1.33127i) q^{56} +(-1.46272 - 0.210307i) q^{57} +(4.45714 + 0.640839i) q^{58} +(-10.6767 - 6.86149i) q^{59} +(0.249802 - 2.22207i) q^{60} +(3.05942 + 6.69919i) q^{61} +(0.942475 + 1.46652i) q^{62} +(0.693737 - 2.36265i) q^{63} +(0.654861 - 0.755750i) q^{64} +(4.54453 + 2.72627i) q^{65} +(-0.570210 + 1.24859i) q^{66} +(8.92842 - 1.28371i) q^{67} -4.33262i q^{68} +(-1.28860 - 4.61947i) q^{69} +(4.04802 - 3.73236i) q^{70} +(-0.0401170 - 0.279020i) q^{71} +(-0.909632 - 0.415415i) q^{72} +(-2.12963 - 7.25284i) q^{73} +(4.21684 - 4.86649i) q^{74} +(-4.66758 - 1.79267i) q^{75} +(-1.24317 + 0.798936i) q^{76} +(-3.07451 + 1.40408i) q^{77} +(1.79115 - 1.55204i) q^{78} +(3.05383 + 1.96258i) q^{79} +(-1.26636 - 1.84291i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-5.86033 + 9.11886i) q^{82} +(10.9029 - 9.44742i) q^{83} +(-1.02292 - 2.23987i) q^{84} +(-9.37537 - 2.44140i) q^{85} +(-1.90064 - 0.558077i) q^{86} +(-3.40312 - 2.94882i) q^{87} +(0.386714 + 1.31703i) q^{88} +(-4.93258 + 10.8009i) q^{89} +(-1.41149 + 1.73427i) q^{90} +5.83596 q^{91} +(-3.99897 - 2.64731i) q^{92} -1.74326i q^{93} +(0.923208 + 6.42105i) q^{94} +(1.02830 + 3.14029i) q^{95} +(-0.959493 + 0.281733i) q^{96} +(-1.25165 - 1.08456i) q^{97} +(-0.263874 + 0.898671i) q^{98} +(1.15473 - 0.742099i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q + 12q^{4} + 8q^{5} - 12q^{6} + 12q^{9} + O(q^{10}) \) \( 120q + 12q^{4} + 8q^{5} - 12q^{6} + 12q^{9} - 18q^{10} - 8q^{11} - 4q^{15} - 12q^{16} + 16q^{19} + 14q^{20} - 22q^{21} - 120q^{24} + 28q^{25} + 8q^{26} + 8q^{29} + 8q^{30} + 8q^{31} + 44q^{34} + 58q^{35} - 12q^{36} + 14q^{39} - 4q^{40} + 8q^{44} - 8q^{45} + 12q^{49} - 4q^{50} + 12q^{54} + 92q^{55} - 94q^{59} + 4q^{60} - 60q^{61} + 12q^{64} - 44q^{65} - 8q^{66} + 16q^{70} - 16q^{74} + 4q^{75} - 16q^{76} + 172q^{79} + 8q^{80} - 12q^{81} - 32q^{85} - 40q^{86} + 48q^{89} - 4q^{90} + 288q^{91} + 24q^{94} - 78q^{95} - 12q^{96} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{8}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.989821 + 0.142315i −0.699909 + 0.100632i
\(3\) 0.909632 + 0.415415i 0.525176 + 0.239840i
\(4\) 0.959493 0.281733i 0.479746 0.140866i
\(5\) −0.0689747 2.23500i −0.0308464 0.999524i
\(6\) −0.959493 0.281733i −0.391711 0.115017i
\(7\) −1.33127 2.07150i −0.503173 0.782953i 0.493030 0.870012i \(-0.335889\pi\)
−0.996203 + 0.0870595i \(0.972253\pi\)
\(8\) −0.909632 + 0.415415i −0.321603 + 0.146871i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) 0.386347 + 2.20244i 0.122174 + 0.696472i
\(11\) 0.195345 1.35866i 0.0588988 0.409650i −0.938948 0.344060i \(-0.888198\pi\)
0.997847 0.0655907i \(-0.0208932\pi\)
\(12\) 0.989821 + 0.142315i 0.285737 + 0.0410828i
\(13\) −1.28134 + 1.99380i −0.355379 + 0.552981i −0.972209 0.234116i \(-0.924780\pi\)
0.616829 + 0.787097i \(0.288417\pi\)
\(14\) 1.61253 + 1.86095i 0.430966 + 0.497361i
\(15\) 0.865713 2.06168i 0.223526 0.532325i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 1.22064 4.15712i 0.296049 1.00825i −0.668361 0.743837i \(-0.733004\pi\)
0.964410 0.264413i \(-0.0851780\pi\)
\(18\) −0.755750 0.654861i −0.178132 0.154352i
\(19\) −1.41790 + 0.416332i −0.325288 + 0.0955132i −0.440299 0.897851i \(-0.645128\pi\)
0.115011 + 0.993364i \(0.463310\pi\)
\(20\) −0.695854 2.12504i −0.155598 0.475173i
\(21\) −0.350435 2.43733i −0.0764713 0.531869i
\(22\) 1.37263i 0.292645i
\(23\) −3.09115 3.66671i −0.644549 0.764563i
\(24\) −1.00000 −0.204124
\(25\) −4.99048 + 0.308318i −0.998097 + 0.0616635i
\(26\) 0.984548 2.15586i 0.193086 0.422799i
\(27\) 0.281733 + 0.959493i 0.0542195 + 0.184655i
\(28\) −1.86095 1.61253i −0.351687 0.304739i
\(29\) −4.32057 1.26863i −0.802309 0.235579i −0.145227 0.989398i \(-0.546391\pi\)
−0.657082 + 0.753819i \(0.728209\pi\)
\(30\) −0.563493 + 2.16390i −0.102879 + 0.395073i
\(31\) −0.724175 1.58572i −0.130066 0.284804i 0.833384 0.552695i \(-0.186401\pi\)
−0.963449 + 0.267891i \(0.913673\pi\)
\(32\) −0.755750 + 0.654861i −0.133599 + 0.115764i
\(33\) 0.742099 1.15473i 0.129183 0.201012i
\(34\) −0.616596 + 4.28852i −0.105745 + 0.735475i
\(35\) −4.53798 + 3.11828i −0.767059 + 0.527085i
\(36\) 0.841254 + 0.540641i 0.140209 + 0.0901068i
\(37\) −4.86649 + 4.21684i −0.800047 + 0.693245i −0.955627 0.294579i \(-0.904821\pi\)
0.155580 + 0.987823i \(0.450275\pi\)
\(38\) 1.34422 0.613883i 0.218061 0.0995849i
\(39\) −1.99380 + 1.28134i −0.319264 + 0.205178i
\(40\) 0.991196 + 2.00438i 0.156722 + 0.316920i
\(41\) 7.09843 8.19203i 1.10859 1.27938i 0.151859 0.988402i \(-0.451474\pi\)
0.956730 0.290978i \(-0.0939806\pi\)
\(42\) 0.693737 + 2.36265i 0.107046 + 0.364565i
\(43\) 1.80187 + 0.822885i 0.274782 + 0.125489i 0.548040 0.836452i \(-0.315374\pi\)
−0.273258 + 0.961941i \(0.588101\pi\)
\(44\) −0.195345 1.35866i −0.0294494 0.204825i
\(45\) 1.64393 1.51574i 0.245063 0.225954i
\(46\) 3.58151 + 3.18948i 0.528065 + 0.470263i
\(47\) 6.48708i 0.946238i −0.880998 0.473119i \(-0.843128\pi\)
0.880998 0.473119i \(-0.156872\pi\)
\(48\) 0.989821 0.142315i 0.142868 0.0205414i
\(49\) 0.389082 0.851971i 0.0555831 0.121710i
\(50\) 4.89581 1.01540i 0.692372 0.143599i
\(51\) 2.83726 3.27438i 0.397296 0.458504i
\(52\) −0.667716 + 2.27403i −0.0925956 + 0.315352i
\(53\) 4.17973 + 6.50379i 0.574130 + 0.893364i 0.999934 0.0114513i \(-0.00364515\pi\)
−0.425804 + 0.904815i \(0.640009\pi\)
\(54\) −0.415415 0.909632i −0.0565308 0.123785i
\(55\) −3.05008 0.342885i −0.411272 0.0462346i
\(56\) 2.07150 + 1.33127i 0.276816 + 0.177899i
\(57\) −1.46272 0.210307i −0.193741 0.0278558i
\(58\) 4.45714 + 0.640839i 0.585251 + 0.0841463i
\(59\) −10.6767 6.86149i −1.38999 0.893290i −0.390361 0.920662i \(-0.627650\pi\)
−0.999625 + 0.0273722i \(0.991286\pi\)
\(60\) 0.249802 2.22207i 0.0322492 0.286868i
\(61\) 3.05942 + 6.69919i 0.391718 + 0.857743i 0.998043 + 0.0625263i \(0.0199157\pi\)
−0.606325 + 0.795217i \(0.707357\pi\)
\(62\) 0.942475 + 1.46652i 0.119694 + 0.186248i
\(63\) 0.693737 2.36265i 0.0874026 0.297666i
\(64\) 0.654861 0.755750i 0.0818576 0.0944687i
\(65\) 4.54453 + 2.72627i 0.563680 + 0.338153i
\(66\) −0.570210 + 1.24859i −0.0701880 + 0.153690i
\(67\) 8.92842 1.28371i 1.09078 0.156831i 0.426628 0.904427i \(-0.359702\pi\)
0.664153 + 0.747597i \(0.268792\pi\)
\(68\) 4.33262i 0.525408i
\(69\) −1.28860 4.61947i −0.155129 0.556119i
\(70\) 4.04802 3.73236i 0.483830 0.446102i
\(71\) −0.0401170 0.279020i −0.00476102 0.0331136i 0.987302 0.158852i \(-0.0507792\pi\)
−0.992063 + 0.125738i \(0.959870\pi\)
\(72\) −0.909632 0.415415i −0.107201 0.0489571i
\(73\) −2.12963 7.25284i −0.249254 0.848881i −0.985137 0.171772i \(-0.945051\pi\)
0.735883 0.677109i \(-0.236767\pi\)
\(74\) 4.21684 4.86649i 0.490198 0.565719i
\(75\) −4.66758 1.79267i −0.538966 0.206999i
\(76\) −1.24317 + 0.798936i −0.142601 + 0.0916443i
\(77\) −3.07451 + 1.40408i −0.350373 + 0.160010i
\(78\) 1.79115 1.55204i 0.202808 0.175734i
\(79\) 3.05383 + 1.96258i 0.343583 + 0.220807i 0.701040 0.713122i \(-0.252720\pi\)
−0.357457 + 0.933930i \(0.616356\pi\)
\(80\) −1.26636 1.84291i −0.141583 0.206044i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) −5.86033 + 9.11886i −0.647166 + 1.00701i
\(83\) 10.9029 9.44742i 1.19675 1.03699i 0.198368 0.980128i \(-0.436436\pi\)
0.998382 0.0568618i \(-0.0181095\pi\)
\(84\) −1.02292 2.23987i −0.111609 0.244390i
\(85\) −9.37537 2.44140i −1.01690 0.264807i
\(86\) −1.90064 0.558077i −0.204951 0.0601790i
\(87\) −3.40312 2.94882i −0.364852 0.316146i
\(88\) 0.386714 + 1.31703i 0.0412239 + 0.140396i
\(89\) −4.93258 + 10.8009i −0.522853 + 1.14489i 0.445495 + 0.895284i \(0.353028\pi\)
−0.968348 + 0.249604i \(0.919700\pi\)
\(90\) −1.41149 + 1.73427i −0.148784 + 0.182808i
\(91\) 5.83596 0.611775
\(92\) −3.99897 2.64731i −0.416921 0.276001i
\(93\) 1.74326i 0.180767i
\(94\) 0.923208 + 6.42105i 0.0952217 + 0.662281i
\(95\) 1.02830 + 3.14029i 0.105502 + 0.322187i
\(96\) −0.959493 + 0.281733i −0.0979278 + 0.0287542i
\(97\) −1.25165 1.08456i −0.127086 0.110121i 0.588999 0.808134i \(-0.299522\pi\)
−0.716085 + 0.698013i \(0.754068\pi\)
\(98\) −0.263874 + 0.898671i −0.0266553 + 0.0907795i
\(99\) 1.15473 0.742099i 0.116055 0.0745837i
\(100\) −4.70147 + 1.70181i −0.470147 + 0.170181i
\(101\) −5.18852 5.98787i −0.516277 0.595815i 0.436418 0.899744i \(-0.356247\pi\)
−0.952695 + 0.303929i \(0.901701\pi\)
\(102\) −2.34239 + 3.64483i −0.231931 + 0.360892i
\(103\) −1.42372 0.204700i −0.140284 0.0201697i 0.0718153 0.997418i \(-0.477121\pi\)
−0.212099 + 0.977248i \(0.568030\pi\)
\(104\) 0.337291 2.34591i 0.0330741 0.230036i
\(105\) −5.42327 + 0.951339i −0.529257 + 0.0928411i
\(106\) −5.06277 5.84275i −0.491740 0.567498i
\(107\) 13.9152 6.35486i 1.34523 0.614347i 0.392949 0.919560i \(-0.371455\pi\)
0.952284 + 0.305213i \(0.0987276\pi\)
\(108\) 0.540641 + 0.841254i 0.0520232 + 0.0809497i
\(109\) −6.43715 1.89012i −0.616567 0.181040i −0.0414890 0.999139i \(-0.513210\pi\)
−0.575078 + 0.818099i \(0.695028\pi\)
\(110\) 3.06783 0.0946767i 0.292506 0.00902707i
\(111\) −6.17846 + 1.81416i −0.586433 + 0.172192i
\(112\) −2.23987 1.02292i −0.211648 0.0966565i
\(113\) 15.8181 2.27429i 1.48804 0.213948i 0.650157 0.759800i \(-0.274703\pi\)
0.837881 + 0.545852i \(0.183794\pi\)
\(114\) 1.47776 0.138405
\(115\) −7.98191 + 7.16164i −0.744317 + 0.667827i
\(116\) −4.50297 −0.418090
\(117\) −2.34591 + 0.337291i −0.216880 + 0.0311826i
\(118\) 11.5445 + 5.27220i 1.06276 + 0.485345i
\(119\) −10.2365 + 3.00570i −0.938376 + 0.275532i
\(120\) 0.0689747 + 2.23500i 0.00629650 + 0.204027i
\(121\) 8.74663 + 2.56824i 0.795149 + 0.233477i
\(122\) −3.98167 6.19560i −0.360483 0.560923i
\(123\) 9.86005 4.50294i 0.889051 0.406016i
\(124\) −1.14159 1.31746i −0.102518 0.118312i
\(125\) 1.03331 + 11.1325i 0.0924219 + 0.995720i
\(126\) −0.350435 + 2.43733i −0.0312193 + 0.217135i
\(127\) −0.0259523 0.00373137i −0.00230289 0.000331106i 0.141163 0.989986i \(-0.454916\pi\)
−0.143466 + 0.989655i \(0.545825\pi\)
\(128\) −0.540641 + 0.841254i −0.0477863 + 0.0743570i
\(129\) 1.29720 + 1.49705i 0.114212 + 0.131808i
\(130\) −4.88627 2.05177i −0.428554 0.179952i
\(131\) −4.63326 + 2.97762i −0.404810 + 0.260156i −0.727164 0.686463i \(-0.759162\pi\)
0.322354 + 0.946619i \(0.395526\pi\)
\(132\) 0.386714 1.31703i 0.0336591 0.114632i
\(133\) 2.75004 + 2.38292i 0.238459 + 0.206626i
\(134\) −8.65485 + 2.54129i −0.747665 + 0.219534i
\(135\) 2.12504 0.695854i 0.182894 0.0598896i
\(136\) 0.616596 + 4.28852i 0.0528727 + 0.367738i
\(137\) 12.0848i 1.03247i 0.856446 + 0.516236i \(0.172667\pi\)
−0.856446 + 0.516236i \(0.827333\pi\)
\(138\) 1.93290 + 4.38906i 0.164540 + 0.373622i
\(139\) 0.402122 0.0341076 0.0170538 0.999855i \(-0.494571\pi\)
0.0170538 + 0.999855i \(0.494571\pi\)
\(140\) −3.47564 + 4.27046i −0.293745 + 0.360920i
\(141\) 2.69483 5.90086i 0.226946 0.496942i
\(142\) 0.0794174 + 0.270471i 0.00666456 + 0.0226974i
\(143\) 2.45859 + 2.13038i 0.205597 + 0.178151i
\(144\) 0.959493 + 0.281733i 0.0799577 + 0.0234777i
\(145\) −2.53739 + 9.74399i −0.210719 + 0.809194i
\(146\) 3.14014 + 6.87594i 0.259880 + 0.569057i
\(147\) 0.707843 0.613349i 0.0583819 0.0505882i
\(148\) −3.48135 + 5.41708i −0.286165 + 0.445281i
\(149\) −0.204500 + 1.42233i −0.0167533 + 0.116522i −0.996482 0.0838073i \(-0.973292\pi\)
0.979729 + 0.200329i \(0.0642011\pi\)
\(150\) 4.87520 + 1.11015i 0.398058 + 0.0906437i
\(151\) −2.54526 1.63574i −0.207130 0.133115i 0.432963 0.901412i \(-0.357468\pi\)
−0.640093 + 0.768297i \(0.721104\pi\)
\(152\) 1.11681 0.967725i 0.0905856 0.0784929i
\(153\) 3.94109 1.79984i 0.318618 0.145508i
\(154\) 2.84340 1.82734i 0.229127 0.147251i
\(155\) −3.49414 + 1.72791i −0.280656 + 0.138789i
\(156\) −1.55204 + 1.79115i −0.124263 + 0.143407i
\(157\) 5.05034 + 17.1999i 0.403061 + 1.37270i 0.872016 + 0.489478i \(0.162813\pi\)
−0.468955 + 0.883222i \(0.655369\pi\)
\(158\) −3.30205 1.50800i −0.262697 0.119970i
\(159\) 1.10025 + 7.65238i 0.0872552 + 0.606873i
\(160\) 1.51574 + 1.64393i 0.119830 + 0.129964i
\(161\) −3.48044 + 11.2847i −0.274297 + 0.889359i
\(162\) 1.00000i 0.0785674i
\(163\) 6.10641 0.877969i 0.478291 0.0687679i 0.101047 0.994882i \(-0.467781\pi\)
0.377244 + 0.926114i \(0.376872\pi\)
\(164\) 4.50294 9.86005i 0.351620 0.769941i
\(165\) −2.63201 1.57895i −0.204902 0.122921i
\(166\) −9.44742 + 10.9029i −0.733262 + 0.846230i
\(167\) −1.14521 + 3.90022i −0.0886189 + 0.301808i −0.991861 0.127322i \(-0.959362\pi\)
0.903243 + 0.429130i \(0.141180\pi\)
\(168\) 1.33127 + 2.07150i 0.102710 + 0.159820i
\(169\) 3.06698 + 6.71575i 0.235922 + 0.516596i
\(170\) 9.62739 + 1.08230i 0.738387 + 0.0830083i
\(171\) −1.24317 0.798936i −0.0950675 0.0610962i
\(172\) 1.96071 + 0.281908i 0.149503 + 0.0214953i
\(173\) 23.4795 + 3.37584i 1.78511 + 0.256660i 0.954077 0.299560i \(-0.0968400\pi\)
0.831035 + 0.556221i \(0.187749\pi\)
\(174\) 3.78814 + 2.43449i 0.287178 + 0.184558i
\(175\) 7.28237 + 9.92733i 0.550495 + 0.750435i
\(176\) −0.570210 1.24859i −0.0429812 0.0941158i
\(177\) −6.86149 10.6767i −0.515741 0.802509i
\(178\) 3.34526 11.3929i 0.250737 0.853933i
\(179\) −5.54629 + 6.40076i −0.414549 + 0.478416i −0.924169 0.381984i \(-0.875241\pi\)
0.509619 + 0.860400i \(0.329786\pi\)
\(180\) 1.15031 1.91750i 0.0857390 0.142922i
\(181\) 1.43069 3.13277i 0.106342 0.232857i −0.848979 0.528426i \(-0.822782\pi\)
0.955321 + 0.295570i \(0.0955095\pi\)
\(182\) −5.77656 + 0.830544i −0.428187 + 0.0615640i
\(183\) 7.36472i 0.544416i
\(184\) 4.33502 + 2.05125i 0.319582 + 0.151220i
\(185\) 9.76032 + 10.5858i 0.717593 + 0.778282i
\(186\) 0.248091 + 1.72551i 0.0181909 + 0.126521i
\(187\) −5.40965 2.47051i −0.395593 0.180661i
\(188\) −1.82762 6.22431i −0.133293 0.453955i
\(189\) 1.61253 1.86095i 0.117294 0.135364i
\(190\) −1.46475 2.96198i −0.106264 0.214885i
\(191\) −4.06963 + 2.61539i −0.294468 + 0.189243i −0.679530 0.733647i \(-0.737816\pi\)
0.385062 + 0.922891i \(0.374180\pi\)
\(192\) 0.909632 0.415415i 0.0656470 0.0299800i
\(193\) 0.149856 0.129851i 0.0107868 0.00934686i −0.649451 0.760404i \(-0.725001\pi\)
0.660237 + 0.751057i \(0.270456\pi\)
\(194\) 1.39326 + 0.895396i 0.100030 + 0.0642857i
\(195\) 3.00132 + 4.36777i 0.214929 + 0.312783i
\(196\) 0.133294 0.927077i 0.00952097 0.0662198i
\(197\) −10.3567 + 16.1154i −0.737887 + 1.14817i 0.245980 + 0.969275i \(0.420890\pi\)
−0.983867 + 0.178900i \(0.942746\pi\)
\(198\) −1.03736 + 0.898880i −0.0737222 + 0.0638806i
\(199\) −0.0983199 0.215290i −0.00696971 0.0152615i 0.906115 0.423031i \(-0.139034\pi\)
−0.913085 + 0.407770i \(0.866307\pi\)
\(200\) 4.41143 2.35358i 0.311935 0.166423i
\(201\) 8.65485 + 2.54129i 0.610466 + 0.179249i
\(202\) 5.98787 + 5.18852i 0.421305 + 0.365063i
\(203\) 3.12388 + 10.6389i 0.219253 + 0.746707i
\(204\) 1.79984 3.94109i 0.126014 0.275932i
\(205\) −18.7988 15.3000i −1.31297 1.06860i
\(206\) 1.43836 0.100216
\(207\) 0.746846 4.73732i 0.0519094 0.329267i
\(208\) 2.37004i 0.164332i
\(209\) 0.288673 + 2.00777i 0.0199679 + 0.138880i
\(210\) 5.23268 1.71347i 0.361089 0.118241i
\(211\) 21.1066 6.19746i 1.45304 0.426651i 0.542493 0.840060i \(-0.317480\pi\)
0.910545 + 0.413410i \(0.135662\pi\)
\(212\) 5.84275 + 5.06277i 0.401282 + 0.347713i
\(213\) 0.0794174 0.270471i 0.00544159 0.0185324i
\(214\) −12.8692 + 8.27052i −0.879719 + 0.565361i
\(215\) 1.71487 4.08394i 0.116953 0.278522i
\(216\) −0.654861 0.755750i −0.0445576 0.0514222i
\(217\) −2.32075 + 3.61115i −0.157543 + 0.245141i
\(218\) 6.64062 + 0.954777i 0.449760 + 0.0646657i
\(219\) 1.07576 7.48210i 0.0726933 0.505593i
\(220\) −3.02313 + 0.530311i −0.203819 + 0.0357535i
\(221\) 6.72442 + 7.76039i 0.452333 + 0.522020i
\(222\) 5.85739 2.67498i 0.393122 0.179533i
\(223\) −4.22368 6.57217i −0.282838 0.440105i 0.670544 0.741870i \(-0.266061\pi\)
−0.953382 + 0.301765i \(0.902424\pi\)
\(224\) 2.36265 + 0.693737i 0.157861 + 0.0463522i
\(225\) −3.50108 3.56965i −0.233406 0.237977i
\(226\) −15.3334 + 4.50229i −1.01996 + 0.299488i
\(227\) −21.6716 9.89707i −1.43839 0.656892i −0.464848 0.885390i \(-0.653891\pi\)
−0.973544 + 0.228499i \(0.926618\pi\)
\(228\) −1.46272 + 0.210307i −0.0968707 + 0.0139279i
\(229\) 28.5773 1.88844 0.944220 0.329315i \(-0.106818\pi\)
0.944220 + 0.329315i \(0.106818\pi\)
\(230\) 6.88146 8.22469i 0.453750 0.542320i
\(231\) −3.37995 −0.222385
\(232\) 4.45714 0.640839i 0.292625 0.0420732i
\(233\) −11.1534 5.09360i −0.730686 0.333693i 0.0150934 0.999886i \(-0.495195\pi\)
−0.745779 + 0.666193i \(0.767923\pi\)
\(234\) 2.27403 0.667716i 0.148658 0.0436500i
\(235\) −14.4987 + 0.447445i −0.945788 + 0.0291881i
\(236\) −12.1773 3.57558i −0.792675 0.232750i
\(237\) 1.96258 + 3.05383i 0.127483 + 0.198368i
\(238\) 9.70452 4.43191i 0.629051 0.287278i
\(239\) −12.3494 14.2519i −0.798815 0.921882i 0.199501 0.979898i \(-0.436068\pi\)
−0.998316 + 0.0580159i \(0.981523\pi\)
\(240\) −0.386347 2.20244i −0.0249386 0.142167i
\(241\) −0.323648 + 2.25102i −0.0208480 + 0.145001i −0.997587 0.0694321i \(-0.977881\pi\)
0.976739 + 0.214433i \(0.0687904\pi\)
\(242\) −9.02311 1.29733i −0.580027 0.0833953i
\(243\) −0.540641 + 0.841254i −0.0346821 + 0.0539664i
\(244\) 4.82287 + 5.56589i 0.308752 + 0.356319i
\(245\) −1.93099 0.810835i −0.123367 0.0518024i
\(246\) −9.11886 + 5.86033i −0.581397 + 0.373641i
\(247\) 0.986723 3.36047i 0.0627837 0.213822i
\(248\) 1.31746 + 1.14159i 0.0836591 + 0.0724910i
\(249\) 13.8422 4.06445i 0.877216 0.257574i
\(250\) −2.60711 10.8721i −0.164888 0.687613i
\(251\) 1.97882 + 13.7630i 0.124902 + 0.868713i 0.951878 + 0.306476i \(0.0991499\pi\)
−0.826976 + 0.562237i \(0.809941\pi\)
\(252\) 2.46240i 0.155116i
\(253\) −5.58565 + 3.48354i −0.351167 + 0.219008i
\(254\) 0.0262191 0.00164514
\(255\) −7.51394 6.11545i −0.470541 0.382964i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 3.48678 + 11.8749i 0.217500 + 0.740736i 0.993879 + 0.110470i \(0.0352357\pi\)
−0.776380 + 0.630265i \(0.782946\pi\)
\(258\) −1.49705 1.29720i −0.0932020 0.0807600i
\(259\) 15.2138 + 4.46718i 0.945340 + 0.277577i
\(260\) 5.12853 + 1.33550i 0.318058 + 0.0828240i
\(261\) −1.87060 4.09604i −0.115787 0.253539i
\(262\) 4.16235 3.60669i 0.257151 0.222822i
\(263\) −6.51812 + 10.1424i −0.401924 + 0.625406i −0.981939 0.189200i \(-0.939411\pi\)
0.580014 + 0.814606i \(0.303047\pi\)
\(264\) −0.195345 + 1.35866i −0.0120227 + 0.0836195i
\(265\) 14.2477 9.79031i 0.875229 0.601414i
\(266\) −3.06117 1.96730i −0.187693 0.120623i
\(267\) −8.97367 + 7.77573i −0.549180 + 0.475867i
\(268\) 8.20509 3.74714i 0.501206 0.228893i
\(269\) −26.0600 + 16.7477i −1.58890 + 1.02113i −0.616640 + 0.787245i \(0.711507\pi\)
−0.972265 + 0.233882i \(0.924857\pi\)
\(270\) −2.00438 + 0.991196i −0.121983 + 0.0603223i
\(271\) −2.59684 + 2.99691i −0.157747 + 0.182050i −0.829121 0.559069i \(-0.811159\pi\)
0.671374 + 0.741118i \(0.265704\pi\)
\(272\) −1.22064 4.15712i −0.0740122 0.252062i
\(273\) 5.30858 + 2.42435i 0.321290 + 0.146728i
\(274\) −1.71984 11.9618i −0.103900 0.722638i
\(275\) −0.555970 + 6.84059i −0.0335263 + 0.412503i
\(276\) −2.53786 4.06931i −0.152761 0.244944i
\(277\) 13.7227i 0.824517i −0.911067 0.412259i \(-0.864740\pi\)
0.911067 0.412259i \(-0.135260\pi\)
\(278\) −0.398029 + 0.0572280i −0.0238722 + 0.00343231i
\(279\) 0.724175 1.58572i 0.0433552 0.0949346i
\(280\) 2.83252 4.72163i 0.169275 0.282171i
\(281\) 16.7123 19.2871i 0.996974 1.15057i 0.00838045 0.999965i \(-0.497332\pi\)
0.988594 0.150605i \(-0.0481222\pi\)
\(282\) −1.82762 + 6.22431i −0.108833 + 0.370652i
\(283\) −1.73005 2.69201i −0.102841 0.160024i 0.786019 0.618202i \(-0.212139\pi\)
−0.888860 + 0.458178i \(0.848502\pi\)
\(284\) −0.117101 0.256416i −0.00694867 0.0152155i
\(285\) −0.369146 + 3.28368i −0.0218663 + 0.194509i
\(286\) −2.73675 1.75880i −0.161827 0.104000i
\(287\) −26.4197 3.79858i −1.55951 0.224223i
\(288\) −0.989821 0.142315i −0.0583258 0.00838598i
\(289\) −1.49037 0.957805i −0.0876690 0.0563415i
\(290\) 1.12485 10.0059i 0.0660534 0.587568i
\(291\) −0.688000 1.50651i −0.0403313 0.0883132i
\(292\) −4.08672 6.35907i −0.239157 0.372136i
\(293\) 7.80260 26.5732i 0.455833 1.55242i −0.336106 0.941824i \(-0.609110\pi\)
0.791939 0.610600i \(-0.209072\pi\)
\(294\) −0.613349 + 0.707843i −0.0357713 + 0.0412822i
\(295\) −14.5990 + 24.3357i −0.849989 + 1.41688i
\(296\) 2.67498 5.85739i 0.155480 0.340454i
\(297\) 1.35866 0.195345i 0.0788373 0.0113351i
\(298\) 1.43695i 0.0832405i
\(299\) 11.2715 1.46484i 0.651848 0.0847136i
\(300\) −4.98357 0.405041i −0.287726 0.0233850i
\(301\) −0.694169 4.82805i −0.0400112 0.278284i
\(302\) 2.75214 + 1.25686i 0.158368 + 0.0723243i
\(303\) −2.23219 7.60214i −0.128236 0.436732i
\(304\) −0.967725 + 1.11681i −0.0555029 + 0.0640537i
\(305\) 14.7617 7.29988i 0.845252 0.417990i
\(306\) −3.64483 + 2.34239i −0.208361 + 0.133906i
\(307\) 14.7438 6.73329i 0.841476 0.384289i 0.0524309 0.998625i \(-0.483303\pi\)
0.789045 + 0.614335i \(0.210576\pi\)
\(308\) −2.55440 + 2.21340i −0.145550 + 0.126120i
\(309\) −1.21003 0.777638i −0.0688361 0.0442383i
\(310\) 3.21267 2.20759i 0.182467 0.125383i
\(311\) 1.02746 7.14611i 0.0582617 0.405219i −0.939732 0.341911i \(-0.888926\pi\)
0.997994 0.0633079i \(-0.0201650\pi\)
\(312\) 1.28134 1.99380i 0.0725415 0.112877i
\(313\) 5.09748 4.41699i 0.288127 0.249663i −0.498789 0.866723i \(-0.666222\pi\)
0.786916 + 0.617060i \(0.211676\pi\)
\(314\) −7.44673 16.3061i −0.420243 0.920205i
\(315\) −5.32838 1.38754i −0.300220 0.0781791i
\(316\) 3.48305 + 1.02272i 0.195937 + 0.0575323i
\(317\) 21.2988 + 18.4555i 1.19626 + 1.03656i 0.998412 + 0.0563317i \(0.0179404\pi\)
0.197847 + 0.980233i \(0.436605\pi\)
\(318\) −2.17809 7.41790i −0.122141 0.415975i
\(319\) −2.56764 + 5.62235i −0.143760 + 0.314791i
\(320\) −1.73427 1.41149i −0.0969488 0.0789046i
\(321\) 15.2976 0.853830
\(322\) 1.83903 11.6652i 0.102485 0.650074i
\(323\) 6.40256i 0.356248i
\(324\) 0.142315 + 0.989821i 0.00790638 + 0.0549901i
\(325\) 5.77977 10.3451i 0.320604 0.573842i
\(326\) −5.91931 + 1.73807i −0.327840 + 0.0962626i
\(327\) −5.07025 4.39340i −0.280386 0.242956i
\(328\) −3.05387 + 10.4005i −0.168622 + 0.574273i
\(329\) −13.4380 + 8.63607i −0.740860 + 0.476122i
\(330\) 2.82993 + 1.18830i 0.155782 + 0.0654138i
\(331\) −19.0498 21.9846i −1.04707 1.20838i −0.977528 0.210804i \(-0.932392\pi\)
−0.0695416 0.997579i \(-0.522154\pi\)
\(332\) 7.79962 12.1364i 0.428060 0.666074i
\(333\) −6.37375 0.916407i −0.349279 0.0502188i
\(334\) 0.578492 4.02350i 0.0316537 0.220156i
\(335\) −3.48494 19.8665i −0.190403 1.08542i
\(336\) −1.61253 1.86095i −0.0879705 0.101523i
\(337\) 10.1564 4.63829i 0.553257 0.252664i −0.119111 0.992881i \(-0.538004\pi\)
0.672368 + 0.740217i \(0.265277\pi\)
\(338\) −3.99151 6.21092i −0.217110 0.337829i
\(339\) 15.3334 + 4.50229i 0.832796 + 0.244531i
\(340\) −9.68343 + 0.298841i −0.525158 + 0.0162070i
\(341\) −2.29592 + 0.674142i −0.124331 + 0.0365068i
\(342\) 1.34422 + 0.613883i 0.0726869 + 0.0331950i
\(343\) −19.3442 + 2.78127i −1.04449 + 0.150174i
\(344\) −1.98088 −0.106802
\(345\) −10.2357 + 3.19865i −0.551069 + 0.172210i
\(346\) −23.7209 −1.27524
\(347\) −15.5275 + 2.23252i −0.833562 + 0.119848i −0.545865 0.837873i \(-0.683799\pi\)
−0.287697 + 0.957721i \(0.592890\pi\)
\(348\) −4.09604 1.87060i −0.219571 0.100275i
\(349\) 19.9634 5.86178i 1.06862 0.313774i 0.300300 0.953845i \(-0.402913\pi\)
0.768316 + 0.640071i \(0.221095\pi\)
\(350\) −8.62105 8.78989i −0.460815 0.469840i
\(351\) −2.27403 0.667716i −0.121379 0.0356401i
\(352\) 0.742099 + 1.15473i 0.0395540 + 0.0615472i
\(353\) −1.33026 + 0.607509i −0.0708026 + 0.0323344i −0.450502 0.892776i \(-0.648755\pi\)
0.379699 + 0.925110i \(0.376028\pi\)
\(354\) 8.31110 + 9.59152i 0.441730 + 0.509784i
\(355\) −0.620844 + 0.108907i −0.0329510 + 0.00578019i
\(356\) −1.68983 + 11.7530i −0.0895607 + 0.622908i
\(357\) −10.5600 1.51830i −0.558896 0.0803572i
\(358\) 4.57892 7.12493i 0.242003 0.376564i
\(359\) −5.40862 6.24188i −0.285456 0.329434i 0.594853 0.803835i \(-0.297210\pi\)
−0.880309 + 0.474401i \(0.842665\pi\)
\(360\) −0.865713 + 2.06168i −0.0456271 + 0.108660i
\(361\) −14.1467 + 9.09154i −0.744564 + 0.478502i
\(362\) −0.970285 + 3.30449i −0.0509970 + 0.173680i
\(363\) 6.88933 + 5.96964i 0.361596 + 0.313325i
\(364\) 5.59957 1.64418i 0.293497 0.0861785i
\(365\) −16.0632 + 5.25999i −0.840788 + 0.275320i
\(366\) −1.04811 7.28976i −0.0547856 0.381042i
\(367\) 10.9373i 0.570920i −0.958391 0.285460i \(-0.907854\pi\)
0.958391 0.285460i \(-0.0921464\pi\)
\(368\) −4.58282 1.41344i −0.238896 0.0736804i
\(369\) 10.8396 0.564287
\(370\) −11.1675 9.08899i −0.580570 0.472514i
\(371\) 7.90823 17.3166i 0.410575 0.899034i
\(372\) −0.491132 1.67264i −0.0254640 0.0867224i
\(373\) −23.5485 20.4049i −1.21929 1.05652i −0.996663 0.0816214i \(-0.973990\pi\)
−0.222631 0.974903i \(-0.571464\pi\)
\(374\) 5.70618 + 1.67549i 0.295060 + 0.0866373i
\(375\) −3.68467 + 10.5557i −0.190276 + 0.545095i
\(376\) 2.69483 + 5.90086i 0.138975 + 0.304314i
\(377\) 8.06551 6.98880i 0.415395 0.359942i
\(378\) −1.33127 + 2.07150i −0.0684732 + 0.106546i
\(379\) 4.48952 31.2253i 0.230611 1.60394i −0.464862 0.885383i \(-0.653896\pi\)
0.695473 0.718552i \(-0.255195\pi\)
\(380\) 1.87137 + 2.72338i 0.0959994 + 0.139706i
\(381\) −0.0220569 0.0141751i −0.00113001 0.000726214i
\(382\) 3.65600 3.16794i 0.187057 0.162086i
\(383\) 10.5776 4.83061i 0.540488 0.246833i −0.126414 0.991978i \(-0.540347\pi\)
0.666903 + 0.745145i \(0.267620\pi\)
\(384\) −0.841254 + 0.540641i −0.0429300 + 0.0275895i
\(385\) 3.35020 + 6.77470i 0.170742 + 0.345271i
\(386\) −0.129851 + 0.149856i −0.00660922 + 0.00762745i
\(387\) 0.558077 + 1.90064i 0.0283686 + 0.0966147i
\(388\) −1.50651 0.688000i −0.0764815 0.0349279i
\(389\) 2.05492 + 14.2923i 0.104188 + 0.724646i 0.973218 + 0.229885i \(0.0738352\pi\)
−0.869029 + 0.494761i \(0.835256\pi\)
\(390\) −3.59237 3.89618i −0.181907 0.197291i
\(391\) −19.0162 + 8.37454i −0.961688 + 0.423519i
\(392\) 0.936610i 0.0473060i
\(393\) −5.45151 + 0.783809i −0.274992 + 0.0395379i
\(394\) 7.95786 17.4253i 0.400911 0.877873i
\(395\) 4.17574 6.96070i 0.210104 0.350231i
\(396\) 0.898880 1.03736i 0.0451704 0.0521295i
\(397\) −3.69214 + 12.5743i −0.185303 + 0.631086i 0.813472 + 0.581605i \(0.197575\pi\)
−0.998775 + 0.0494810i \(0.984243\pi\)
\(398\) 0.127958 + 0.199107i 0.00641396 + 0.00998032i
\(399\) 1.51162 + 3.30999i 0.0756757 + 0.165707i
\(400\) −4.03157 + 2.95743i −0.201579 + 0.147872i
\(401\) 19.4204 + 12.4808i 0.969810 + 0.623259i 0.926696 0.375811i \(-0.122636\pi\)
0.0431139 + 0.999070i \(0.486272\pi\)
\(402\) −8.92842 1.28371i −0.445309 0.0640258i
\(403\) 4.08953 + 0.587985i 0.203714 + 0.0292896i
\(404\) −6.66532 4.28354i −0.331612 0.213114i
\(405\) 2.22207 + 0.249802i 0.110416 + 0.0124127i
\(406\) −4.60616 10.0861i −0.228600 0.500564i
\(407\) 4.77859 + 7.43564i 0.236866 + 0.368571i
\(408\) −1.22064 + 4.15712i −0.0604307 + 0.205808i
\(409\) −4.90589 + 5.66169i −0.242580 + 0.279953i −0.863964 0.503554i \(-0.832026\pi\)
0.621383 + 0.783507i \(0.286571\pi\)
\(410\) 20.7849 + 12.4689i 1.02649 + 0.615795i
\(411\) −5.02020 + 10.9927i −0.247628 + 0.542230i
\(412\) −1.42372 + 0.204700i −0.0701418 + 0.0100849i
\(413\) 31.2512i 1.53777i
\(414\) −0.0650526 + 4.79539i −0.00319716 + 0.235681i
\(415\) −21.8671 23.7164i −1.07341 1.16419i
\(416\) −0.337291 2.34591i −0.0165371 0.115018i
\(417\) 0.365783 + 0.167048i 0.0179125 + 0.00818036i
\(418\) −0.571470 1.94625i −0.0279515 0.0951940i
\(419\) 18.2376 21.0474i 0.890967 1.02823i −0.108450 0.994102i \(-0.534589\pi\)
0.999417 0.0341292i \(-0.0108658\pi\)
\(420\) −4.93557 + 2.44072i −0.240831 + 0.119095i
\(421\) 26.7271 17.1765i 1.30260 0.837129i 0.309106 0.951028i \(-0.399970\pi\)
0.993492 + 0.113899i \(0.0363339\pi\)
\(422\) −20.0098 + 9.13816i −0.974061 + 0.444839i
\(423\) 4.90261 4.24814i 0.238373 0.206551i
\(424\) −6.50379 4.17973i −0.315852 0.202986i
\(425\) −4.80988 + 21.1224i −0.233313 + 1.02459i
\(426\) −0.0401170 + 0.279020i −0.00194368 + 0.0135186i
\(427\) 9.80444 15.2560i 0.474470 0.738290i
\(428\) 11.5612 10.0178i 0.558830 0.484229i
\(429\) 1.35142 + 2.95919i 0.0652471 + 0.142871i
\(430\) −1.11621 + 4.28642i −0.0538283 + 0.206710i
\(431\) 26.2934 + 7.72045i 1.26651 + 0.371881i 0.844914 0.534903i \(-0.179652\pi\)
0.421596 + 0.906784i \(0.361470\pi\)
\(432\) 0.755750 + 0.654861i 0.0363610 + 0.0315070i
\(433\) −1.12139 3.81912i −0.0538908 0.183535i 0.928149 0.372209i \(-0.121399\pi\)
−0.982040 + 0.188673i \(0.939581\pi\)
\(434\) 1.78320 3.90467i 0.0855965 0.187430i
\(435\) −6.35589 + 7.80937i −0.304742 + 0.374431i
\(436\) −6.70891 −0.321298
\(437\) 5.90951 + 3.91208i 0.282690 + 0.187140i
\(438\) 7.55904i 0.361185i
\(439\) −3.36973 23.4370i −0.160828 1.11858i −0.897077 0.441874i \(-0.854314\pi\)
0.736249 0.676711i \(-0.236595\pi\)
\(440\) 2.91689 0.955149i 0.139057 0.0455349i
\(441\) 0.898671 0.263874i 0.0427939 0.0125654i
\(442\) −7.76039 6.72442i −0.369124 0.319848i
\(443\) −1.33569 + 4.54893i −0.0634603 + 0.216126i −0.985118 0.171877i \(-0.945017\pi\)
0.921658 + 0.388003i \(0.126835\pi\)
\(444\) −5.41708 + 3.48135i −0.257083 + 0.165217i
\(445\) 24.4802 + 10.2794i 1.16047 + 0.487288i
\(446\) 5.11600 + 5.90418i 0.242250 + 0.279571i
\(447\) −0.776875 + 1.20884i −0.0367449 + 0.0571763i
\(448\) −2.43733 0.350435i −0.115153 0.0165565i
\(449\) 3.45421 24.0246i 0.163014 1.13379i −0.729897 0.683557i \(-0.760432\pi\)
0.892911 0.450233i \(-0.148659\pi\)
\(450\) 3.97346 + 3.03506i 0.187311 + 0.143074i
\(451\) −9.74351 11.2446i −0.458804 0.529488i
\(452\) 14.5366 6.63863i 0.683743 0.312255i
\(453\) −1.63574 2.54526i −0.0768538 0.119587i
\(454\) 22.8595 + 6.71215i 1.07285 + 0.315017i
\(455\) −0.402534 13.0434i −0.0188711 0.611484i
\(456\) 1.41790 0.416332i 0.0663992 0.0194966i
\(457\) 18.0715 + 8.25297i 0.845349 + 0.386058i 0.790519 0.612438i \(-0.209811\pi\)
0.0548300 + 0.998496i \(0.482538\pi\)
\(458\) −28.2864 + 4.06697i −1.32174 + 0.190037i
\(459\) 4.33262 0.202229
\(460\) −5.64092 + 9.12031i −0.263009 + 0.425237i
\(461\) 30.6721 1.42854 0.714271 0.699869i \(-0.246758\pi\)
0.714271 + 0.699869i \(0.246758\pi\)
\(462\) 3.34555 0.481017i 0.155649 0.0223790i
\(463\) −8.79152 4.01495i −0.408576 0.186591i 0.200515 0.979691i \(-0.435738\pi\)
−0.609091 + 0.793100i \(0.708466\pi\)
\(464\) −4.32057 + 1.26863i −0.200577 + 0.0588948i
\(465\) −3.89618 + 0.120241i −0.180681 + 0.00557602i
\(466\) 11.7648 + 3.45446i 0.544994 + 0.160025i
\(467\) −14.2636 22.1946i −0.660041 1.02704i −0.996356 0.0852943i \(-0.972817\pi\)
0.336315 0.941750i \(-0.390819\pi\)
\(468\) −2.15586 + 0.984548i −0.0996547 + 0.0455108i
\(469\) −14.5454 16.7862i −0.671642 0.775117i
\(470\) 14.2874 2.50626i 0.659029 0.115605i
\(471\) −2.55114 + 17.7435i −0.117550 + 0.817580i
\(472\) 12.5622 + 1.80617i 0.578223 + 0.0831359i
\(473\) 1.47001 2.28737i 0.0675909 0.105174i
\(474\) −2.37721 2.74345i −0.109189 0.126011i
\(475\) 6.94764 2.51486i 0.318779 0.115390i
\(476\) −8.97502 + 5.76789i −0.411369 + 0.264371i
\(477\) −2.17809 + 7.41790i −0.0997280 + 0.339643i
\(478\) 14.2519 + 12.3494i 0.651869 + 0.564848i
\(479\) 14.1062 4.14196i 0.644529 0.189251i 0.0568983 0.998380i \(-0.481879\pi\)
0.587631 + 0.809129i \(0.300061\pi\)
\(480\) 0.695854 + 2.12504i 0.0317613 + 0.0969943i
\(481\) −2.17192 15.1060i −0.0990309 0.688775i
\(482\) 2.27417i 0.103585i
\(483\) −7.85375 + 8.81910i −0.357358 + 0.401283i
\(484\) 9.11589 0.414359
\(485\) −2.33767 + 2.87226i −0.106148 + 0.130423i
\(486\) 0.415415 0.909632i 0.0188436 0.0412617i
\(487\) 7.98901 + 27.2081i 0.362017 + 1.23292i 0.916268 + 0.400566i \(0.131186\pi\)
−0.554251 + 0.832349i \(0.686995\pi\)
\(488\) −5.56589 4.82287i −0.251956 0.218321i
\(489\) 5.91931 + 1.73807i 0.267680 + 0.0785981i
\(490\) 2.02673 + 0.527773i 0.0915585 + 0.0238424i
\(491\) 2.49113 + 5.45482i 0.112423 + 0.246172i 0.957477 0.288508i \(-0.0931592\pi\)
−0.845054 + 0.534681i \(0.820432\pi\)
\(492\) 8.19203 7.09843i 0.369325 0.320022i
\(493\) −10.5477 + 16.4126i −0.475045 + 0.739185i
\(494\) −0.498435 + 3.46669i −0.0224256 + 0.155974i
\(495\) −1.73824 2.52964i −0.0781281 0.113699i
\(496\) −1.46652 0.942475i −0.0658487 0.0423184i
\(497\) −0.524583 + 0.454554i −0.0235308 + 0.0203895i
\(498\) −13.1229 + 5.99303i −0.588052 + 0.268554i
\(499\) −5.63018 + 3.61830i −0.252042 + 0.161977i −0.660561 0.750772i \(-0.729682\pi\)
0.408519 + 0.912750i \(0.366045\pi\)
\(500\) 4.12784 + 10.3904i 0.184602 + 0.464674i
\(501\) −2.66193 + 3.07203i −0.118926 + 0.137248i
\(502\) −3.91736 13.3413i −0.174840 0.595451i
\(503\) −3.63103 1.65824i −0.161900 0.0739371i 0.332817 0.942991i \(-0.392001\pi\)
−0.494717 + 0.869054i \(0.664728\pi\)
\(504\) 0.350435 + 2.43733i 0.0156096 + 0.108567i
\(505\) −13.0250 + 12.0094i −0.579606 + 0.534410i
\(506\) 5.03304 4.24300i 0.223746 0.188624i
\(507\) 7.38293i 0.327887i
\(508\) −0.0259523 + 0.00373137i −0.00115145 + 0.000165553i
\(509\) −10.8577 + 23.7751i −0.481260 + 1.05381i 0.500855 + 0.865531i \(0.333019\pi\)
−0.982115 + 0.188281i \(0.939708\pi\)
\(510\) 8.30778 + 4.98385i 0.367875 + 0.220689i
\(511\) −12.1891 + 14.0670i −0.539216 + 0.622288i
\(512\) −0.281733 + 0.959493i −0.0124509 + 0.0424040i
\(513\) −0.798936 1.24317i −0.0352739 0.0548872i
\(514\) −5.14127 11.2578i −0.226772 0.496561i
\(515\) −0.359305 + 3.19615i −0.0158329 + 0.140839i
\(516\) 1.66642 + 1.07094i 0.0733600 + 0.0471456i
\(517\) −8.81372 1.26722i −0.387627 0.0557324i
\(518\) −15.6947 2.25656i −0.689585 0.0991474i
\(519\) 19.9553 + 12.8245i 0.875941 + 0.562933i
\(520\) −5.26639 0.592039i −0.230946 0.0259626i
\(521\) 7.47555 + 16.3692i 0.327510 + 0.717146i 0.999731 0.0232042i \(-0.00738678\pi\)
−0.672221 + 0.740351i \(0.734660\pi\)
\(522\) 2.43449 + 3.78814i 0.106555 + 0.165802i
\(523\) −8.62122 + 29.3612i −0.376980 + 1.28387i 0.524632 + 0.851329i \(0.324203\pi\)
−0.901612 + 0.432546i \(0.857615\pi\)
\(524\) −3.60669 + 4.16235i −0.157559 + 0.181833i
\(525\) 2.50031 + 12.0554i 0.109123 + 0.526142i
\(526\) 5.00836 10.9668i 0.218375 0.478174i
\(527\) −7.47599 + 1.07489i −0.325659 + 0.0468227i
\(528\) 1.37263i 0.0597360i
\(529\) −3.88959 + 22.6687i −0.169113 + 0.985597i
\(530\) −12.7094 + 11.7183i −0.552060 + 0.509011i
\(531\) −1.80617 12.5622i −0.0783813 0.545154i
\(532\) 3.30999 + 1.51162i 0.143506 + 0.0655371i
\(533\) 7.23778 + 24.6496i 0.313503 + 1.06769i
\(534\) 7.77573 8.97367i 0.336489 0.388329i
\(535\) −15.1629 30.6622i −0.655551 1.32564i
\(536\) −7.58830 + 4.87671i −0.327765 + 0.210642i
\(537\) −7.70406 + 3.51833i −0.332455 + 0.151827i
\(538\) 23.4113 20.2860i 1.00933 0.874591i
\(539\) −1.08153 0.695057i −0.0465848 0.0299382i
\(540\) 1.84291 1.26636i 0.0793064 0.0544954i
\(541\) 1.71739 11.9447i 0.0738366 0.513545i −0.919018 0.394215i \(-0.871016\pi\)
0.992855 0.119329i \(-0.0380745\pi\)
\(542\) 2.14390 3.33598i 0.0920885 0.143293i
\(543\) 2.60280 2.25533i 0.111697 0.0967857i
\(544\) 1.79984 + 3.94109i 0.0771673 + 0.168973i
\(545\) −3.78042 + 14.5174i −0.161935 + 0.621858i
\(546\) −5.59957 1.64418i −0.239639 0.0703645i
\(547\) 24.5715 + 21.2913i 1.05060 + 0.910351i 0.996106 0.0881636i \(-0.0280998\pi\)
0.0544945 + 0.998514i \(0.482645\pi\)
\(548\) 3.40468 + 11.5953i 0.145441 + 0.495325i
\(549\) −3.05942 + 6.69919i −0.130573 + 0.285914i
\(550\) −0.423205 6.85008i −0.0180455 0.292088i
\(551\) 6.65430 0.283483
\(552\) 3.09115 + 3.66671i 0.131568 + 0.156066i
\(553\) 8.93874i 0.380114i
\(554\) 1.95294 + 13.5830i 0.0829727 + 0.577088i
\(555\) 4.48081 + 13.6837i 0.190200 + 0.580843i
\(556\) 0.385834 0.113291i 0.0163630 0.00480461i
\(557\) −14.5164 12.5786i −0.615082 0.532971i 0.290646 0.956831i \(-0.406130\pi\)
−0.905728 + 0.423859i \(0.860675\pi\)
\(558\) −0.491132 + 1.67264i −0.0207913 + 0.0708086i
\(559\) −3.94947 + 2.53817i −0.167045 + 0.107353i
\(560\) −2.13173 + 5.07668i −0.0900819 + 0.214529i
\(561\) −3.89451 4.49450i −0.164426 0.189758i
\(562\) −13.7974 + 21.4692i −0.582008 + 0.905622i
\(563\) −31.5499 4.53619i −1.32967 0.191177i −0.559400 0.828898i \(-0.688968\pi\)
−0.770268 + 0.637720i \(0.779878\pi\)
\(564\) 0.923208 6.42105i 0.0388741 0.270375i
\(565\) −6.17410 35.1966i −0.259746 1.48073i
\(566\) 2.09556 + 2.41840i 0.0880828 + 0.101653i
\(567\) 2.23987 1.02292i 0.0940658 0.0429584i
\(568\) 0.152401 + 0.237140i 0.00639460 + 0.00995019i
\(569\) −28.2936 8.30774i −1.18613 0.348279i −0.371595 0.928395i \(-0.621189\pi\)
−0.814534 + 0.580116i \(0.803007\pi\)
\(570\) −0.101928 3.30279i −0.00426929 0.138339i
\(571\) 27.6898 8.13046i 1.15878 0.340249i 0.354823 0.934934i \(-0.384541\pi\)
0.803959 + 0.594685i \(0.202723\pi\)
\(572\) 2.95919 + 1.35142i 0.123730 + 0.0565057i
\(573\) −4.78834 + 0.688460i −0.200036 + 0.0287608i
\(574\) 26.6914 1.11408
\(575\) 16.5568 + 17.3456i 0.690468 + 0.723363i
\(576\) 1.00000 0.0416667
\(577\) 3.69850 0.531763i 0.153970 0.0221376i −0.0648985 0.997892i \(-0.520672\pi\)
0.218869 + 0.975754i \(0.429763\pi\)
\(578\) 1.61151 + 0.735954i 0.0670301 + 0.0306116i
\(579\) 0.190255 0.0558640i 0.00790675 0.00232163i
\(580\) 0.310591 + 10.0642i 0.0128966 + 0.417891i
\(581\) −34.0851 10.0083i −1.41409 0.415213i
\(582\) 0.895396 + 1.39326i 0.0371154 + 0.0577526i
\(583\) 9.65291 4.40833i 0.399783 0.182575i
\(584\) 4.95012 + 5.71274i 0.204837 + 0.236395i
\(585\) 0.915656 + 5.21986i 0.0378577 + 0.215815i
\(586\) −3.94142 + 27.4132i −0.162818 + 1.13243i
\(587\) 22.2498 + 3.19904i 0.918349 + 0.132039i 0.585250 0.810853i \(-0.300997\pi\)
0.333099 + 0.942892i \(0.391906\pi\)
\(588\) 0.506370 0.787927i 0.0208823 0.0324936i
\(589\) 1.68699 + 1.94689i 0.0695113 + 0.0802204i
\(590\) 10.9871 26.1657i 0.452332 1.07722i
\(591\) −16.1154 + 10.3567i −0.662899 + 0.426019i
\(592\) −1.81416 + 6.17846i −0.0745615 + 0.253933i
\(593\) −28.3667 24.5799i −1.16488 1.00937i −0.999733 0.0231061i \(-0.992644\pi\)
−0.165148 0.986269i \(-0.552810\pi\)
\(594\) −1.31703 + 0.386714i −0.0540383 + 0.0158671i
\(595\) 7.42381 + 22.6712i 0.304346 + 0.929430i
\(596\) 0.204500 + 1.42233i 0.00837664 + 0.0582608i
\(597\) 0.236679i 0.00968661i
\(598\) −10.9483 + 3.05403i −0.447710 + 0.124888i
\(599\) −28.5587 −1.16688 −0.583438 0.812158i \(-0.698293\pi\)
−0.583438 + 0.812158i \(0.698293\pi\)
\(600\) 4.99048 0.308318i 0.203736 0.0125870i
\(601\) −6.62299 + 14.5023i −0.270157 + 0.591562i −0.995279 0.0970590i \(-0.969056\pi\)
0.725121 + 0.688621i \(0.241784\pi\)
\(602\) 1.37421 + 4.68012i 0.0560085 + 0.190747i
\(603\) 6.81704 + 5.90700i 0.277611 + 0.240552i
\(604\) −2.90300 0.852398i −0.118121 0.0346836i
\(605\) 5.13674 19.7259i 0.208838 0.801972i
\(606\) 3.29137 + 7.20709i 0.133703 + 0.292768i
\(607\) 35.1373 30.4467i 1.42618 1.23579i 0.496188 0.868215i \(-0.334733\pi\)
0.929993 0.367578i \(-0.119813\pi\)
\(608\) 0.798936 1.24317i 0.0324011 0.0504172i
\(609\) −1.57800 + 10.9752i −0.0639438 + 0.444739i
\(610\) −13.5726 + 9.32639i −0.549537 + 0.377614i
\(611\) 12.9340 + 8.31215i 0.523252 + 0.336273i
\(612\) 3.27438 2.83726i 0.132359 0.114690i
\(613\) 15.5086 7.08256i 0.626388 0.286062i −0.0768212 0.997045i \(-0.524477\pi\)
0.703209 + 0.710983i \(0.251750\pi\)
\(614\) −13.6355 + 8.76302i −0.550285 + 0.353647i
\(615\) −10.7442 21.7267i −0.433247 0.876104i
\(616\) 2.21340 2.55440i 0.0891804 0.102920i
\(617\) 1.34657 + 4.58599i 0.0542108 + 0.184625i 0.982147 0.188113i \(-0.0602371\pi\)
−0.927937 + 0.372738i \(0.878419\pi\)
\(618\) 1.30838 + 0.597518i 0.0526308 + 0.0240357i
\(619\) 6.03690 + 41.9875i 0.242643 + 1.68762i 0.638747 + 0.769416i \(0.279453\pi\)
−0.396104 + 0.918206i \(0.629638\pi\)
\(620\) −2.86580 + 2.64233i −0.115093 + 0.106119i
\(621\) 2.64731 3.99897i 0.106233 0.160473i
\(622\) 7.21960i 0.289480i
\(623\) 28.9406 4.16102i 1.15948 0.166708i
\(624\) −0.984548 + 2.15586i −0.0394135 + 0.0863035i
\(625\) 24.8099 3.07731i 0.992395 0.123092i
\(626\) −4.41699 + 5.09748i −0.176539 + 0.203736i
\(627\) −0.571470 + 1.94625i −0.0228223 + 0.0777256i
\(628\) 9.69153 + 15.0803i 0.386734 + 0.601770i
\(629\) 11.5897 + 25.3779i 0.462111 + 1.01188i
\(630\) 5.47162 + 0.615110i 0.217994 + 0.0245066i
\(631\) −4.92443 3.16474i −0.196039 0.125986i 0.438939 0.898517i \(-0.355354\pi\)
−0.634978 + 0.772530i \(0.718991\pi\)
\(632\) −3.59315 0.516617i −0.142928 0.0205499i
\(633\) 21.7738 + 3.13059i 0.865429 + 0.124430i
\(634\) −23.7085 15.2365i −0.941585 0.605120i
\(635\) −0.00654958 + 0.0582608i −0.000259912 + 0.00231201i
\(636\) 3.21160 + 7.03243i 0.127348 + 0.278854i
\(637\) 1.20011 + 1.86741i 0.0475503 + 0.0739897i
\(638\) 1.74136 5.93053i 0.0689412 0.234792i
\(639\) 0.184598 0.213038i 0.00730260 0.00842765i
\(640\) 1.91750 + 1.15031i 0.0757957 + 0.0454700i
\(641\) 15.5861 34.1289i 0.615616 1.34801i −0.303050 0.952975i \(-0.598005\pi\)
0.918666 0.395036i \(-0.129268\pi\)
\(642\) −15.1419 + 2.17708i −0.597603 + 0.0859224i
\(643\) 3.60991i 0.142361i −0.997463 0.0711805i \(-0.977323\pi\)
0.997463 0.0711805i \(-0.0226766\pi\)
\(644\) −0.160185 + 11.8081i −0.00631218 + 0.465306i
\(645\) 3.25643 3.00250i 0.128222 0.118223i
\(646\) −0.911180 6.33740i −0.0358499 0.249342i
\(647\) −28.4315 12.9842i −1.11776 0.510463i −0.231120 0.972925i \(-0.574239\pi\)
−0.886639 + 0.462462i \(0.846966\pi\)
\(648\) −0.281733 0.959493i −0.0110675 0.0376924i
\(649\) −11.4081 + 13.1656i −0.447805 + 0.516795i
\(650\) −4.24868 + 11.0623i −0.166647 + 0.433901i
\(651\) −3.61115 + 2.32075i −0.141532 + 0.0909572i
\(652\) 5.61171 2.56278i 0.219771 0.100366i
\(653\) −23.3725 + 20.2523i −0.914635 + 0.792536i −0.978676 0.205412i \(-0.934147\pi\)
0.0640408 + 0.997947i \(0.479601\pi\)
\(654\) 5.64389 + 3.62711i 0.220694 + 0.141831i
\(655\) 6.97457 + 10.1500i 0.272519 + 0.396593i
\(656\) 1.54264 10.7293i 0.0602299 0.418908i
\(657\) 4.08672 6.35907i 0.159438 0.248091i
\(658\) 12.0722 10.4606i 0.470622 0.407796i
\(659\) −13.3874 29.3143i −0.521499 1.14192i −0.968869 0.247575i \(-0.920366\pi\)
0.447370 0.894349i \(-0.352361\pi\)
\(660\) −2.97023 0.773466i −0.115616 0.0301071i
\(661\) −4.53333 1.33111i −0.176326 0.0517740i 0.192378 0.981321i \(-0.438380\pi\)
−0.368704 + 0.929547i \(0.620198\pi\)
\(662\) 21.9846 + 19.0498i 0.854456 + 0.740390i
\(663\) 2.89296 + 9.85252i 0.112353 + 0.382640i
\(664\) −5.99303 + 13.1229i −0.232575 + 0.509268i
\(665\) 5.13616 6.31071i 0.199172 0.244719i
\(666\) 6.43930 0.249518
\(667\) 8.70380 + 19.7638i 0.337013 + 0.765258i
\(668\) 4.06488i 0.157275i
\(669\) −1.11181 7.73284i −0.0429852 0.298969i
\(670\) 6.27677 + 19.1683i 0.242493 + 0.740538i
\(671\) 9.69954 2.84804i 0.374447 0.109947i
\(672\) 1.86095 + 1.61253i 0.0717879 + 0.0622045i
\(673\) −9.87698 + 33.6379i −0.380729 + 1.29665i 0.516957 + 0.856011i \(0.327065\pi\)
−0.897687 + 0.440634i \(0.854754\pi\)
\(674\) −9.39297 + 6.03650i −0.361804 + 0.232517i
\(675\) −1.70181 4.70147i −0.0655027 0.180960i
\(676\) 4.83479 + 5.57965i 0.185954 + 0.214602i
\(677\) 17.8508 27.7764i 0.686061 1.06753i −0.307201 0.951645i \(-0.599392\pi\)
0.993262 0.115888i \(-0.0369713\pi\)
\(678\) −15.8181 2.27429i −0.607489 0.0873438i
\(679\) −0.580382 + 4.03665i −0.0222730 + 0.154912i
\(680\) 9.54233 1.67389i 0.365932 0.0641909i
\(681\) −15.6018 18.0054i −0.597861 0.689968i
\(682\) 2.17661 0.994023i 0.0833465 0.0380631i
\(683\) −6.05584 9.42307i −0.231720 0.360564i 0.705849 0.708362i \(-0.250566\pi\)
−0.937569 + 0.347799i \(0.886929\pi\)
\(684\) −1.41790 0.416332i −0.0542147 0.0159189i
\(685\) 27.0095 0.833545i 1.03198 0.0318481i
\(686\) 18.7514 5.50592i 0.715933 0.210217i
\(687\) 25.9948 + 11.8714i 0.991764 + 0.452923i
\(688\) 1.96071 0.281908i 0.0747515 0.0107476i
\(689\) −18.3229 −0.698047
\(690\) 9.67625 4.62278i 0.368369 0.175986i
\(691\) −40.6308 −1.54567 −0.772834 0.634608i \(-0.781161\pi\)
−0.772834 + 0.634608i \(0.781161\pi\)
\(692\) 23.4795 3.37584i 0.892556 0.128330i
\(693\) −3.07451 1.40408i −0.116791 0.0533367i
\(694\) 15.0518 4.41960i 0.571358 0.167766i
\(695\) −0.0277363 0.898745i −0.00105210 0.0340913i
\(696\) 4.32057 + 1.26863i 0.163771 + 0.0480874i
\(697\) −25.3906 39.5086i −0.961738 1.49649i
\(698\) −18.9260 + 8.64320i −0.716359 + 0.327150i
\(699\) −8.02956 9.26661i −0.303706 0.350495i
\(700\) 9.78423 + 7.47352i 0.369809 + 0.282473i
\(701\) −2.36552 + 16.4526i −0.0893445 + 0.621405i 0.895121 + 0.445824i \(0.147089\pi\)
−0.984465 + 0.175581i \(0.943820\pi\)
\(702\) 2.34591 + 0.337291i 0.0885407 + 0.0127302i
\(703\) 5.14459 8.00513i 0.194032 0.301919i
\(704\) −0.898880 1.03736i −0.0338778 0.0390971i
\(705\) −13.3743 5.61595i −0.503706 0.211509i
\(706\) 1.23026 0.790641i 0.0463015 0.0297562i
\(707\) −5.49654 + 18.7195i −0.206719 + 0.704019i
\(708\) −9.59152 8.31110i −0.360471 0.312350i
\(709\) −14.2543 + 4.18545i −0.535333 + 0.157188i −0.538214 0.842808i \(-0.680901\pi\)
0.00288153 + 0.999996i \(0.499083\pi\)
\(710\) 0.599026 0.196154i 0.0224810 0.00736153i
\(711\) 0.516617 + 3.59315i 0.0193746 + 0.134754i
\(712\) 11.8739i 0.444992i
\(713\) −3.57586 + 7.55704i −0.133917 + 0.283013i
\(714\) 10.6686 0.399263
\(715\) 4.59182 5.64190i 0.171724 0.210995i
\(716\) −3.51833 + 7.70406i −0.131486 + 0.287914i
\(717\) −5.31292 18.0941i −0.198415 0.675738i
\(718\) 6.24188 + 5.40862i 0.232945 + 0.201848i
\(719\) 22.6693 + 6.65631i 0.845422 + 0.248238i 0.675629 0.737241i \(-0.263872\pi\)
0.169793 + 0.985480i \(0.445690\pi\)
\(720\) 0.563493 2.16390i 0.0210001 0.0806439i
\(721\) 1.47132 + 3.22175i 0.0547950 + 0.119984i
\(722\) 12.7089 11.0123i 0.472975 0.409835i
\(723\) −1.22951 + 1.91315i −0.0457259 + 0.0711509i
\(724\) 0.490131 3.40894i 0.0182156 0.126692i
\(725\) 21.9529 + 4.99899i 0.815309 + 0.185658i
\(726\) −7.66878 4.92842i −0.284615 0.182911i
\(727\) −5.18426 + 4.49218i −0.192273 + 0.166606i −0.745677 0.666307i \(-0.767874\pi\)
0.553404 + 0.832913i \(0.313329\pi\)
\(728\) −5.30858 + 2.42435i −0.196749 + 0.0898523i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 15.1512 7.49248i 0.560770 0.277309i
\(731\) 5.62027 6.48613i 0.207873 0.239898i
\(732\) 2.07488 + 7.06640i 0.0766899 + 0.261182i
\(733\) −12.4508 5.68609i −0.459881 0.210020i 0.171983 0.985100i \(-0.444983\pi\)
−0.631864 + 0.775079i \(0.717710\pi\)
\(734\) 1.55653 + 10.8259i 0.0574527 + 0.399593i
\(735\) −1.41966 1.53973i −0.0523650 0.0567936i
\(736\) 4.73732 + 0.746846i 0.174620 + 0.0275291i
\(737\) 12.3814i 0.456076i
\(738\) −10.7293 + 1.54264i −0.394950 + 0.0567853i
\(739\) 0.375514 0.822260i 0.0138135 0.0302473i −0.902600 0.430481i \(-0.858344\pi\)
0.916413 + 0.400234i \(0.131071\pi\)
\(740\) 12.3473 + 7.40718i 0.453897 + 0.272293i
\(741\) 2.29354 2.64689i 0.0842554 0.0972360i
\(742\) −5.36333 + 18.2658i −0.196894 + 0.670559i
\(743\) −21.3637 33.2425i −0.783757 1.21955i −0.971432 0.237319i \(-0.923731\pi\)
0.187674 0.982231i \(-0.439905\pi\)
\(744\) 0.724175 + 1.58572i 0.0265495 + 0.0581354i
\(745\) 3.19301 + 0.358953i 0.116983 + 0.0131510i
\(746\) 26.2127 + 16.8459i 0.959715 + 0.616772i
\(747\) 14.2798 + 2.05312i 0.522470 + 0.0751198i
\(748\) −5.88655 0.846358i −0.215233 0.0309459i
\(749\) −31.6890 20.3653i −1.15789 0.744131i
\(750\) 2.14493 10.9727i 0.0783218 0.400665i
\(751\) −8.29003 18.1526i −0.302508 0.662399i 0.695940 0.718100i \(-0.254988\pi\)
−0.998448 + 0.0557008i \(0.982261\pi\)
\(752\) −3.50718 5.45728i −0.127894 0.199007i
\(753\) −3.91736 + 13.3413i −0.142756 + 0.486184i
\(754\) −6.98880 + 8.06551i −0.254517 + 0.293728i
\(755\) −3.48033 + 5.80149i −0.126662 + 0.211138i
\(756\) 1.02292 2.23987i 0.0372031 0.0814634i
\(757\) −28.6003 + 4.11210i −1.03950 + 0.149457i −0.640864 0.767654i \(-0.721424\pi\)
−0.398631 + 0.917111i \(0.630515\pi\)
\(758\) 31.5464i 1.14582i
\(759\) −6.52800 + 0.848373i −0.236951 + 0.0307940i
\(760\) −2.23990 2.42934i −0.0812498 0.0881213i
\(761\) −1.33674 9.29720i −0.0484566 0.337023i −0.999600 0.0282743i \(-0.990999\pi\)
0.951144 0.308749i \(-0.0999103\pi\)
\(762\) 0.0238498 + 0.0108918i 0.000863986 + 0.000394569i
\(763\) 4.65422 + 15.8508i 0.168494 + 0.573838i
\(764\) −3.16794 + 3.65600i −0.114612 + 0.132269i
\(765\) −4.29448 8.68421i −0.155267 0.313978i
\(766\) −9.78243 + 6.28679i −0.353454 + 0.227151i
\(767\) 27.3609 12.4953i 0.987944 0.451179i
\(768\) 0.755750 0.654861i 0.0272708 0.0236303i
\(769\) 4.23787 + 2.72352i 0.152822 + 0.0982125i 0.614817 0.788670i \(-0.289230\pi\)
−0.461995 + 0.886882i \(0.652866\pi\)
\(770\) −4.28024 6.22896i −0.154249 0.224476i
\(771\) −1.76132 + 12.2503i −0.0634324 + 0.441182i
\(772\) 0.107202 0.166810i 0.00385829 0.00600362i
\(773\) 19.7485 17.1122i 0.710303 0.615481i −0.222895 0.974842i \(-0.571551\pi\)
0.933199 +