Properties

Label 400.2.bd.a.187.29
Level $400$
Weight $2$
Character 400.187
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bd (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 187.29
Character \(\chi\) \(=\) 400.187
Dual form 400.2.bd.a.323.29

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.150704 - 1.40616i) q^{2} +(0.269711 + 0.830084i) q^{3} +(-1.95458 + 0.423828i) q^{4} +(-2.21657 + 0.294681i) q^{5} +(1.12658 - 0.504353i) q^{6} +(0.0768366 + 0.0768366i) q^{7} +(0.890533 + 2.68458i) q^{8} +(1.81076 - 1.31559i) q^{9} +O(q^{10})\) \(q+(-0.150704 - 1.40616i) q^{2} +(0.269711 + 0.830084i) q^{3} +(-1.95458 + 0.423828i) q^{4} +(-2.21657 + 0.294681i) q^{5} +(1.12658 - 0.504353i) q^{6} +(0.0768366 + 0.0768366i) q^{7} +(0.890533 + 2.68458i) q^{8} +(1.81076 - 1.31559i) q^{9} +(0.748414 + 3.07244i) q^{10} +(5.02356 - 0.795654i) q^{11} +(-0.878983 - 1.50815i) q^{12} +(1.22492 + 1.68595i) q^{13} +(0.0964651 - 0.119624i) q^{14} +(-0.842441 - 1.76046i) q^{15} +(3.64074 - 1.65681i) q^{16} +(1.70624 - 0.869374i) q^{17} +(-2.12282 - 2.34795i) q^{18} +(-1.02078 - 2.00339i) q^{19} +(4.20755 - 1.51542i) q^{20} +(-0.0430572 + 0.0845045i) q^{21} +(-1.87589 - 6.94403i) q^{22} +(4.91850 - 0.779014i) q^{23} +(-1.98824 + 1.46328i) q^{24} +(4.82633 - 1.30636i) q^{25} +(2.18612 - 1.97651i) q^{26} +(3.69876 + 2.68731i) q^{27} +(-0.182749 - 0.117618i) q^{28} +(-0.862725 + 1.69319i) q^{29} +(-2.34853 + 1.44992i) q^{30} +(-5.10949 - 1.66017i) q^{31} +(-2.87841 - 4.86978i) q^{32} +(2.01537 + 3.95538i) q^{33} +(-1.47962 - 2.26823i) q^{34} +(-0.192956 - 0.147671i) q^{35} +(-2.98168 + 3.33887i) q^{36} +(4.25009 + 5.84974i) q^{37} +(-2.66326 + 1.73730i) q^{38} +(-1.06911 + 1.47150i) q^{39} +(-2.76502 - 5.68812i) q^{40} +(2.41144 + 3.31906i) q^{41} +(0.125316 + 0.0478102i) q^{42} +0.756843i q^{43} +(-9.48172 + 3.68430i) q^{44} +(-3.62598 + 3.44969i) q^{45} +(-1.83666 - 6.79880i) q^{46} +(-0.133866 - 0.0682083i) q^{47} +(2.35724 + 2.57526i) q^{48} -6.98819i q^{49} +(-2.56430 - 6.58972i) q^{50} +(1.18185 + 1.18185i) q^{51} +(-3.10875 - 2.77617i) q^{52} +(3.02145 + 9.29908i) q^{53} +(3.22137 - 5.60605i) q^{54} +(-10.9006 + 3.24397i) q^{55} +(-0.137848 + 0.274699i) q^{56} +(1.38767 - 1.38767i) q^{57} +(2.51092 + 0.957959i) q^{58} +(-2.67972 - 0.424426i) q^{59} +(2.39275 + 3.08390i) q^{60} +(3.20982 - 0.508385i) q^{61} +(-1.56445 + 7.43496i) q^{62} +(0.240218 + 0.0380468i) q^{63} +(-6.41390 + 4.78141i) q^{64} +(-3.21192 - 3.37606i) q^{65} +(5.25818 - 3.43002i) q^{66} +(-14.2946 - 4.64460i) q^{67} +(-2.96652 + 2.42241i) q^{68} +(1.97322 + 3.87266i) q^{69} +(-0.178570 + 0.293581i) q^{70} +(-2.89014 - 8.89495i) q^{71} +(5.14434 + 3.68954i) q^{72} +(-0.822996 - 5.19619i) q^{73} +(7.58517 - 6.85789i) q^{74} +(2.38610 + 3.65392i) q^{75} +(2.84429 + 3.48315i) q^{76} +(0.447129 + 0.324858i) q^{77} +(2.23029 + 1.28158i) q^{78} +(-2.66197 - 8.19270i) q^{79} +(-7.58171 + 4.74528i) q^{80} +(0.841845 - 2.59093i) q^{81} +(4.30372 - 3.89107i) q^{82} +(-1.83326 + 5.64220i) q^{83} +(0.0483432 - 0.183419i) q^{84} +(-3.52581 + 2.42982i) q^{85} +(1.06424 - 0.114059i) q^{86} +(-1.63818 - 0.259462i) q^{87} +(6.60965 + 12.7776i) q^{88} +(7.76228 + 5.63962i) q^{89} +(5.39727 + 4.57883i) q^{90} +(-0.0354245 + 0.223661i) q^{91} +(-9.28342 + 3.60724i) q^{92} -4.68907i q^{93} +(-0.0757376 + 0.198517i) q^{94} +(2.85299 + 4.13985i) q^{95} +(3.26598 - 3.70276i) q^{96} +(-6.81219 + 13.3697i) q^{97} +(-9.82652 + 1.05315i) q^{98} +(8.04969 - 8.04969i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 8q^{2} - 6q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} - 108q^{9} + O(q^{10}) \) \( 464q - 8q^{2} - 6q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} - 108q^{9} - 12q^{10} - 6q^{11} - 10q^{12} - 10q^{13} - 10q^{14} + 12q^{15} - 46q^{16} - 16q^{17} + 16q^{18} - 10q^{19} - 2q^{20} + 24q^{21} + 28q^{22} - 16q^{23} + 12q^{24} - 16q^{26} + 6q^{27} - 38q^{28} - 10q^{29} + 34q^{30} - 38q^{32} - 16q^{33} - 10q^{34} + 20q^{35} + 10q^{36} - 10q^{37} - 34q^{38} - 20q^{39} + 8q^{40} + 6q^{42} - 80q^{44} + 8q^{45} - 6q^{46} - 24q^{47} + 100q^{48} - 74q^{50} - 16q^{51} - 16q^{52} - 6q^{53} - 20q^{54} - 16q^{55} - 6q^{56} + 12q^{57} + 62q^{58} - 10q^{59} - 110q^{60} - 6q^{61} + 26q^{62} + 12q^{63} + 20q^{64} - 16q^{65} - 6q^{66} - 70q^{67} + 46q^{68} + 2q^{69} + 42q^{70} - 12q^{71} - 96q^{72} + 8q^{73} - 8q^{74} - 14q^{75} - 16q^{76} - 48q^{77} + 148q^{78} - 124q^{80} - 96q^{81} - 10q^{82} - 46q^{83} + 2q^{84} - 18q^{85} + 114q^{86} - 72q^{87} + 6q^{88} - 54q^{90} - 76q^{91} - 6q^{92} - 10q^{94} + 160q^{95} + 24q^{96} - 16q^{97} + 88q^{98} + 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{9}{20}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.150704 1.40616i −0.106564 0.994306i
\(3\) 0.269711 + 0.830084i 0.155717 + 0.479249i 0.998233 0.0594231i \(-0.0189261\pi\)
−0.842515 + 0.538672i \(0.818926\pi\)
\(4\) −1.95458 + 0.423828i −0.977288 + 0.211914i
\(5\) −2.21657 + 0.294681i −0.991278 + 0.131785i
\(6\) 1.12658 0.504353i 0.459926 0.205901i
\(7\) 0.0768366 + 0.0768366i 0.0290415 + 0.0290415i 0.721478 0.692437i \(-0.243463\pi\)
−0.692437 + 0.721478i \(0.743463\pi\)
\(8\) 0.890533 + 2.68458i 0.314851 + 0.949141i
\(9\) 1.81076 1.31559i 0.603585 0.438530i
\(10\) 0.748414 + 3.07244i 0.236669 + 0.971590i
\(11\) 5.02356 0.795654i 1.51466 0.239899i 0.656912 0.753967i \(-0.271862\pi\)
0.857749 + 0.514068i \(0.171862\pi\)
\(12\) −0.878983 1.50815i −0.253740 0.435366i
\(13\) 1.22492 + 1.68595i 0.339730 + 0.467599i 0.944363 0.328906i \(-0.106680\pi\)
−0.604632 + 0.796505i \(0.706680\pi\)
\(14\) 0.0964651 0.119624i 0.0257814 0.0319709i
\(15\) −0.842441 1.76046i −0.217517 0.454548i
\(16\) 3.64074 1.65681i 0.910185 0.414202i
\(17\) 1.70624 0.869374i 0.413825 0.210854i −0.234667 0.972076i \(-0.575400\pi\)
0.648492 + 0.761222i \(0.275400\pi\)
\(18\) −2.12282 2.34795i −0.500354 0.553417i
\(19\) −1.02078 2.00339i −0.234183 0.459610i 0.743770 0.668436i \(-0.233036\pi\)
−0.977953 + 0.208826i \(0.933036\pi\)
\(20\) 4.20755 1.51542i 0.940837 0.338858i
\(21\) −0.0430572 + 0.0845045i −0.00939585 + 0.0184404i
\(22\) −1.87589 6.94403i −0.399941 1.48047i
\(23\) 4.91850 0.779014i 1.02558 0.162436i 0.379090 0.925360i \(-0.376237\pi\)
0.646488 + 0.762924i \(0.276237\pi\)
\(24\) −1.98824 + 1.46328i −0.405847 + 0.298690i
\(25\) 4.82633 1.30636i 0.965265 0.261272i
\(26\) 2.18612 1.97651i 0.428733 0.387625i
\(27\) 3.69876 + 2.68731i 0.711828 + 0.517173i
\(28\) −0.182749 0.117618i −0.0345362 0.0222276i
\(29\) −0.862725 + 1.69319i −0.160204 + 0.314418i −0.957130 0.289659i \(-0.906458\pi\)
0.796926 + 0.604077i \(0.206458\pi\)
\(30\) −2.34853 + 1.44992i −0.428780 + 0.264717i
\(31\) −5.10949 1.66017i −0.917691 0.298176i −0.188172 0.982136i \(-0.560256\pi\)
−0.729519 + 0.683960i \(0.760256\pi\)
\(32\) −2.87841 4.86978i −0.508836 0.860863i
\(33\) 2.01537 + 3.95538i 0.350831 + 0.688544i
\(34\) −1.47962 2.26823i −0.253752 0.388999i
\(35\) −0.192956 0.147671i −0.0326155 0.0249610i
\(36\) −2.98168 + 3.33887i −0.496946 + 0.556479i
\(37\) 4.25009 + 5.84974i 0.698710 + 0.961692i 0.999967 + 0.00814872i \(0.00259385\pi\)
−0.301257 + 0.953543i \(0.597406\pi\)
\(38\) −2.66326 + 1.73730i −0.432037 + 0.281827i
\(39\) −1.06911 + 1.47150i −0.171194 + 0.235629i
\(40\) −2.76502 5.68812i −0.437188 0.899370i
\(41\) 2.41144 + 3.31906i 0.376604 + 0.518351i 0.954681 0.297632i \(-0.0961967\pi\)
−0.578077 + 0.815982i \(0.696197\pi\)
\(42\) 0.125316 + 0.0478102i 0.0193366 + 0.00737727i
\(43\) 0.756843i 0.115418i 0.998333 + 0.0577088i \(0.0183795\pi\)
−0.998333 + 0.0577088i \(0.981621\pi\)
\(44\) −9.48172 + 3.68430i −1.42942 + 0.555428i
\(45\) −3.62598 + 3.44969i −0.540529 + 0.514249i
\(46\) −1.83666 6.79880i −0.270800 1.00243i
\(47\) −0.133866 0.0682083i −0.0195264 0.00994920i 0.444200 0.895928i \(-0.353488\pi\)
−0.463726 + 0.885978i \(0.653488\pi\)
\(48\) 2.35724 + 2.57526i 0.340238 + 0.371707i
\(49\) 6.98819i 0.998313i
\(50\) −2.56430 6.58972i −0.362647 0.931927i
\(51\) 1.18185 + 1.18185i 0.165491 + 0.165491i
\(52\) −3.10875 2.77617i −0.431105 0.384985i
\(53\) 3.02145 + 9.29908i 0.415029 + 1.27733i 0.912225 + 0.409689i \(0.134363\pi\)
−0.497196 + 0.867638i \(0.665637\pi\)
\(54\) 3.22137 5.60605i 0.438373 0.762886i
\(55\) −10.9006 + 3.24397i −1.46984 + 0.437417i
\(56\) −0.137848 + 0.274699i −0.0184207 + 0.0367082i
\(57\) 1.38767 1.38767i 0.183801 0.183801i
\(58\) 2.51092 + 0.957959i 0.329700 + 0.125786i
\(59\) −2.67972 0.424426i −0.348870 0.0552555i −0.0204594 0.999791i \(-0.506513\pi\)
−0.328410 + 0.944535i \(0.606513\pi\)
\(60\) 2.39275 + 3.08390i 0.308902 + 0.398129i
\(61\) 3.20982 0.508385i 0.410975 0.0650920i 0.0524760 0.998622i \(-0.483289\pi\)
0.358499 + 0.933530i \(0.383289\pi\)
\(62\) −1.56445 + 7.43496i −0.198685 + 0.944241i
\(63\) 0.240218 + 0.0380468i 0.0302646 + 0.00479344i
\(64\) −6.41390 + 4.78141i −0.801738 + 0.597676i
\(65\) −3.21192 3.37606i −0.398390 0.418749i
\(66\) 5.25818 3.43002i 0.647237 0.422207i
\(67\) −14.2946 4.64460i −1.74637 0.567429i −0.750718 0.660623i \(-0.770292\pi\)
−0.995648 + 0.0931945i \(0.970292\pi\)
\(68\) −2.96652 + 2.42241i −0.359743 + 0.293761i
\(69\) 1.97322 + 3.87266i 0.237548 + 0.466213i
\(70\) −0.178570 + 0.293581i −0.0213432 + 0.0350897i
\(71\) −2.89014 8.89495i −0.342997 1.05564i −0.962647 0.270758i \(-0.912726\pi\)
0.619651 0.784878i \(-0.287274\pi\)
\(72\) 5.14434 + 3.68954i 0.606267 + 0.434816i
\(73\) −0.822996 5.19619i −0.0963244 0.608168i −0.987876 0.155248i \(-0.950382\pi\)
0.891551 0.452920i \(-0.149618\pi\)
\(74\) 7.58517 6.85789i 0.881759 0.797213i
\(75\) 2.38610 + 3.65392i 0.275523 + 0.421918i
\(76\) 2.84429 + 3.48315i 0.326262 + 0.399545i
\(77\) 0.447129 + 0.324858i 0.0509551 + 0.0370210i
\(78\) 2.23029 + 1.28158i 0.252530 + 0.145110i
\(79\) −2.66197 8.19270i −0.299495 0.921750i −0.981674 0.190566i \(-0.938968\pi\)
0.682180 0.731185i \(-0.261032\pi\)
\(80\) −7.58171 + 4.74528i −0.847661 + 0.530539i
\(81\) 0.841845 2.59093i 0.0935383 0.287881i
\(82\) 4.30372 3.89107i 0.475267 0.429697i
\(83\) −1.83326 + 5.64220i −0.201227 + 0.619312i 0.798621 + 0.601835i \(0.205563\pi\)
−0.999847 + 0.0174773i \(0.994437\pi\)
\(84\) 0.0483432 0.183419i 0.00527467 0.0200127i
\(85\) −3.52581 + 2.42982i −0.382428 + 0.263551i
\(86\) 1.06424 0.114059i 0.114760 0.0122993i
\(87\) −1.63818 0.259462i −0.175631 0.0278172i
\(88\) 6.60965 + 12.7776i 0.704591 + 1.36210i
\(89\) 7.76228 + 5.63962i 0.822800 + 0.597799i 0.917513 0.397706i \(-0.130193\pi\)
−0.0947135 + 0.995505i \(0.530193\pi\)
\(90\) 5.39727 + 4.57883i 0.568922 + 0.482651i
\(91\) −0.0354245 + 0.223661i −0.00371349 + 0.0234461i
\(92\) −9.28342 + 3.60724i −0.967863 + 0.376081i
\(93\) 4.68907i 0.486234i
\(94\) −0.0757376 + 0.198517i −0.00781174 + 0.0204754i
\(95\) 2.85299 + 4.13985i 0.292710 + 0.424739i
\(96\) 3.26598 3.70276i 0.333333 0.377911i
\(97\) −6.81219 + 13.3697i −0.691673 + 1.35749i 0.231399 + 0.972859i \(0.425670\pi\)
−0.923072 + 0.384627i \(0.874330\pi\)
\(98\) −9.82652 + 1.05315i −0.992629 + 0.106384i
\(99\) 8.04969 8.04969i 0.809025 0.809025i
\(100\) −8.87975 + 4.59891i −0.887975 + 0.459891i
\(101\) 7.01347 + 7.01347i 0.697866 + 0.697866i 0.963950 0.266084i \(-0.0857298\pi\)
−0.266084 + 0.963950i \(0.585730\pi\)
\(102\) 1.48376 1.83997i 0.146914 0.182184i
\(103\) 1.17965 + 0.601061i 0.116234 + 0.0592243i 0.511141 0.859497i \(-0.329223\pi\)
−0.394907 + 0.918721i \(0.629223\pi\)
\(104\) −3.43524 + 4.78978i −0.336853 + 0.469676i
\(105\) 0.0705372 0.199998i 0.00688372 0.0195178i
\(106\) 12.6207 5.65006i 1.22583 0.548782i
\(107\) 12.1439 1.17400 0.586998 0.809589i \(-0.300310\pi\)
0.586998 + 0.809589i \(0.300310\pi\)
\(108\) −8.36848 3.68491i −0.805257 0.354581i
\(109\) −3.17080 0.502206i −0.303708 0.0481026i 0.00272063 0.999996i \(-0.499134\pi\)
−0.306428 + 0.951894i \(0.599134\pi\)
\(110\) 6.20431 + 14.8391i 0.591557 + 1.41485i
\(111\) −3.70948 + 5.10567i −0.352089 + 0.484608i
\(112\) 0.407046 + 0.152439i 0.0384622 + 0.0144041i
\(113\) 1.24750 7.87640i 0.117355 0.740950i −0.856897 0.515488i \(-0.827611\pi\)
0.974252 0.225462i \(-0.0723892\pi\)
\(114\) −2.16041 1.74216i −0.202341 0.163168i
\(115\) −10.6726 + 3.17612i −0.995227 + 0.296175i
\(116\) 0.968639 3.67512i 0.0899359 0.341227i
\(117\) 4.43605 + 1.44136i 0.410113 + 0.133254i
\(118\) −0.192967 + 3.83208i −0.0177640 + 0.352771i
\(119\) 0.197902 + 0.0643022i 0.0181416 + 0.00589457i
\(120\) 3.97586 3.82934i 0.362945 0.349570i
\(121\) 14.1415 4.59486i 1.28559 0.417714i
\(122\) −1.19860 4.43690i −0.108516 0.401698i
\(123\) −2.10471 + 2.89688i −0.189775 + 0.261203i
\(124\) 10.6905 + 1.07939i 0.960037 + 0.0969322i
\(125\) −10.3129 + 4.31786i −0.922415 + 0.386201i
\(126\) 0.0172981 0.343519i 0.00154104 0.0306031i
\(127\) −4.68707 + 0.742359i −0.415910 + 0.0658737i −0.360883 0.932611i \(-0.617525\pi\)
−0.0550273 + 0.998485i \(0.517525\pi\)
\(128\) 7.69003 + 8.29840i 0.679709 + 0.733482i
\(129\) −0.628244 + 0.204129i −0.0553138 + 0.0179725i
\(130\) −4.26324 + 5.02527i −0.373911 + 0.440745i
\(131\) −15.2487 + 7.76958i −1.33228 + 0.678832i −0.967644 0.252318i \(-0.918807\pi\)
−0.364638 + 0.931150i \(0.618807\pi\)
\(132\) −5.61559 6.87693i −0.488775 0.598560i
\(133\) 0.0755007 0.232367i 0.00654674 0.0201488i
\(134\) −4.37680 + 20.8005i −0.378098 + 1.79689i
\(135\) −8.99045 4.86664i −0.773775 0.418854i
\(136\) 3.85337 + 3.80633i 0.330423 + 0.326390i
\(137\) −2.66999 + 16.8577i −0.228113 + 1.44025i 0.561925 + 0.827188i \(0.310061\pi\)
−0.790038 + 0.613058i \(0.789939\pi\)
\(138\) 5.14821 3.35829i 0.438245 0.285876i
\(139\) −2.92083 18.4414i −0.247741 1.56418i −0.727084 0.686549i \(-0.759125\pi\)
0.479343 0.877628i \(-0.340875\pi\)
\(140\) 0.439734 + 0.206854i 0.0371643 + 0.0174824i
\(141\) 0.0205134 0.129517i 0.00172754 0.0109073i
\(142\) −12.0722 + 5.40451i −1.01307 + 0.453536i
\(143\) 7.49488 + 7.49488i 0.626753 + 0.626753i
\(144\) 4.41281 7.78980i 0.367734 0.649150i
\(145\) 1.41333 4.00730i 0.117371 0.332788i
\(146\) −7.18265 + 1.94035i −0.594441 + 0.160585i
\(147\) 5.80078 1.88479i 0.478441 0.155455i
\(148\) −10.7864 9.63246i −0.886637 0.791784i
\(149\) 13.6436 13.6436i 1.11773 1.11773i 0.125656 0.992074i \(-0.459896\pi\)
0.992074 0.125656i \(-0.0401036\pi\)
\(150\) 4.77840 3.90590i 0.390155 0.318915i
\(151\) −17.2294 −1.40211 −0.701054 0.713108i \(-0.747287\pi\)
−0.701054 + 0.713108i \(0.747287\pi\)
\(152\) 4.46922 4.52445i 0.362502 0.366981i
\(153\) 1.94585 3.81894i 0.157312 0.308743i
\(154\) 0.389419 0.677693i 0.0313803 0.0546100i
\(155\) 11.8147 + 2.17421i 0.948983 + 0.174637i
\(156\) 1.46599 3.32928i 0.117373 0.266556i
\(157\) −20.9870 −1.67494 −0.837472 0.546480i \(-0.815967\pi\)
−0.837472 + 0.546480i \(0.815967\pi\)
\(158\) −11.1191 + 4.97783i −0.884587 + 0.396015i
\(159\) −6.90410 + 5.01612i −0.547531 + 0.397804i
\(160\) 7.81522 + 9.94597i 0.617848 + 0.786298i
\(161\) 0.437778 + 0.318064i 0.0345017 + 0.0250670i
\(162\) −3.77014 0.793306i −0.296210 0.0623280i
\(163\) 4.23209 3.07479i 0.331483 0.240836i −0.409577 0.912276i \(-0.634324\pi\)
0.741059 + 0.671439i \(0.234324\pi\)
\(164\) −6.12006 5.46533i −0.477896 0.426770i
\(165\) −5.63277 8.17347i −0.438511 0.636304i
\(166\) 8.21012 + 1.72756i 0.637229 + 0.134085i
\(167\) 9.51714 4.84923i 0.736458 0.375244i −0.0451777 0.998979i \(-0.514385\pi\)
0.781636 + 0.623735i \(0.214385\pi\)
\(168\) −0.265203 0.0403363i −0.0204608 0.00311201i
\(169\) 2.67521 8.23344i 0.205785 0.633341i
\(170\) 3.94807 + 4.59167i 0.302804 + 0.352165i
\(171\) −4.48403 2.28473i −0.342902 0.174717i
\(172\) −0.320772 1.47931i −0.0244586 0.112796i
\(173\) 8.50716 11.7091i 0.646787 0.890226i −0.352167 0.935937i \(-0.614555\pi\)
0.998955 + 0.0457106i \(0.0145552\pi\)
\(174\) −0.117965 + 2.34264i −0.00894292 + 0.177595i
\(175\) 0.471215 + 0.270462i 0.0356205 + 0.0204450i
\(176\) 16.9712 11.2199i 1.27926 0.845729i
\(177\) −0.370440 2.33886i −0.0278439 0.175800i
\(178\) 6.76041 11.7649i 0.506714 0.881818i
\(179\) 13.2628 + 6.75774i 0.991310 + 0.505098i 0.872917 0.487869i \(-0.162226\pi\)
0.118393 + 0.992967i \(0.462226\pi\)
\(180\) 5.62518 8.27947i 0.419276 0.617116i
\(181\) −9.56322 + 4.87270i −0.710828 + 0.362185i −0.771723 0.635959i \(-0.780605\pi\)
0.0608944 + 0.998144i \(0.480605\pi\)
\(182\) 0.319842 + 0.0161058i 0.0237083 + 0.00119384i
\(183\) 1.28772 + 2.52730i 0.0951913 + 0.186823i
\(184\) 6.47141 + 12.5103i 0.477079 + 0.922275i
\(185\) −11.1444 11.7139i −0.819353 0.861224i
\(186\) −6.59359 + 0.706662i −0.483465 + 0.0518149i
\(187\) 7.87970 5.72494i 0.576221 0.418649i
\(188\) 0.290560 + 0.0765820i 0.0211913 + 0.00558532i
\(189\) 0.0777168 + 0.490684i 0.00565306 + 0.0356920i
\(190\) 5.39133 4.63565i 0.391128 0.336305i
\(191\) −6.04968 8.32667i −0.437739 0.602496i 0.531969 0.846764i \(-0.321452\pi\)
−0.969708 + 0.244268i \(0.921452\pi\)
\(192\) −5.69887 4.03448i −0.411280 0.291163i
\(193\) 10.2937 10.2937i 0.740958 0.740958i −0.231805 0.972762i \(-0.574463\pi\)
0.972762 + 0.231805i \(0.0744630\pi\)
\(194\) 19.8265 + 7.56418i 1.42346 + 0.543076i
\(195\) 1.93613 3.57673i 0.138649 0.256135i
\(196\) 2.96179 + 13.6590i 0.211557 + 0.975640i
\(197\) −18.3748 + 5.97035i −1.30915 + 0.425370i −0.878757 0.477270i \(-0.841626\pi\)
−0.430397 + 0.902640i \(0.641626\pi\)
\(198\) −12.5323 10.1060i −0.890631 0.718205i
\(199\) 25.4629i 1.80501i −0.430675 0.902507i \(-0.641725\pi\)
0.430675 0.902507i \(-0.358275\pi\)
\(200\) 7.80503 + 11.7933i 0.551899 + 0.833911i
\(201\) 13.1184i 0.925303i
\(202\) 8.80511 10.9190i 0.619525 0.768260i
\(203\) −0.196388 + 0.0638104i −0.0137837 + 0.00447861i
\(204\) −2.81091 1.80911i −0.196803 0.126663i
\(205\) −6.32318 6.64631i −0.441630 0.464199i
\(206\) 0.667411 1.74936i 0.0465007 0.121884i
\(207\) 7.88134 7.88134i 0.547791 0.547791i
\(208\) 7.25290 + 4.10866i 0.502898 + 0.284884i
\(209\) −6.72196 9.25198i −0.464968 0.639973i
\(210\) −0.291859 0.0690462i −0.0201402 0.00476464i
\(211\) 3.89977 + 24.6221i 0.268471 + 1.69506i 0.641406 + 0.767201i \(0.278351\pi\)
−0.372935 + 0.927857i \(0.621649\pi\)
\(212\) −9.84688 16.8952i −0.676286 1.16037i
\(213\) 6.60405 4.79812i 0.452502 0.328762i
\(214\) −1.83013 17.0763i −0.125105 1.16731i
\(215\) −0.223027 1.67759i −0.0152103 0.114411i
\(216\) −3.92042 + 12.3228i −0.266751 + 0.838457i
\(217\) −0.265034 0.520158i −0.0179917 0.0353106i
\(218\) −0.228329 + 4.53434i −0.0154644 + 0.307104i
\(219\) 4.09130 2.08462i 0.276465 0.140866i
\(220\) 19.9312 10.9606i 1.34376 0.738961i
\(221\) 3.55573 + 1.81173i 0.239184 + 0.121870i
\(222\) 7.73842 + 4.44669i 0.519369 + 0.298442i
\(223\) 2.36051 + 14.9037i 0.158072 + 0.998024i 0.931394 + 0.364012i \(0.118593\pi\)
−0.773323 + 0.634013i \(0.781407\pi\)
\(224\) 0.153010 0.595345i 0.0102234 0.0397781i
\(225\) 7.02066 8.71497i 0.468044 0.580998i
\(226\) −11.2635 0.567180i −0.749236 0.0377282i
\(227\) −5.32623 + 7.33093i −0.353514 + 0.486571i −0.948327 0.317293i \(-0.897226\pi\)
0.594813 + 0.803864i \(0.297226\pi\)
\(228\) −2.12417 + 3.30044i −0.140677 + 0.218577i
\(229\) 2.53581 + 1.29206i 0.167571 + 0.0853816i 0.535764 0.844368i \(-0.320024\pi\)
−0.368193 + 0.929749i \(0.620024\pi\)
\(230\) 6.07455 + 14.5288i 0.400544 + 0.957998i
\(231\) −0.149064 + 0.458772i −0.00980770 + 0.0301850i
\(232\) −5.31379 0.808207i −0.348868 0.0530614i
\(233\) −23.9454 + 12.2008i −1.56871 + 0.799299i −0.999734 0.0230524i \(-0.992662\pi\)
−0.568979 + 0.822352i \(0.692662\pi\)
\(234\) 1.35825 6.45501i 0.0887917 0.421977i
\(235\) 0.316823 + 0.111740i 0.0206673 + 0.00728913i
\(236\) 5.41760 0.306167i 0.352656 0.0199298i
\(237\) 6.08266 4.41931i 0.395111 0.287065i
\(238\) 0.0605946 0.287972i 0.00392776 0.0186665i
\(239\) −13.9267 10.1184i −0.900845 0.654502i 0.0378381 0.999284i \(-0.487953\pi\)
−0.938683 + 0.344782i \(0.887953\pi\)
\(240\) −5.98385 5.01360i −0.386256 0.323626i
\(241\) −22.5148 + 16.3580i −1.45031 + 1.05371i −0.464549 + 0.885548i \(0.653783\pi\)
−0.985759 + 0.168163i \(0.946217\pi\)
\(242\) −8.59229 19.1928i −0.552333 1.23376i
\(243\) 16.0935 1.03240
\(244\) −6.05836 + 2.35409i −0.387847 + 0.150705i
\(245\) 2.05929 + 15.4898i 0.131563 + 0.989606i
\(246\) 4.39067 + 2.52299i 0.279939 + 0.160860i
\(247\) 2.12725 4.17497i 0.135354 0.265647i
\(248\) −0.0933054 15.1953i −0.00592490 0.964900i
\(249\) −5.17795 −0.328139
\(250\) 7.62580 + 13.8509i 0.482298 + 0.876007i
\(251\) −6.59922 + 6.59922i −0.416539 + 0.416539i −0.884009 0.467470i \(-0.845166\pi\)
0.467470 + 0.884009i \(0.345166\pi\)
\(252\) −0.485650 + 0.0274458i −0.0305930 + 0.00172892i
\(253\) 24.0886 7.82685i 1.51444 0.492070i
\(254\) 1.75024 + 6.47890i 0.109820 + 0.406522i
\(255\) −2.96790 2.27137i −0.185857 0.142239i
\(256\) 10.5100 12.0640i 0.656873 0.754001i
\(257\) −5.03994 5.03994i −0.314383 0.314383i 0.532222 0.846605i \(-0.321357\pi\)
−0.846605 + 0.532222i \(0.821357\pi\)
\(258\) 0.381717 + 0.852648i 0.0237646 + 0.0530836i
\(259\) −0.122912 + 0.776037i −0.00763739 + 0.0482206i
\(260\) 7.70882 + 5.23747i 0.478081 + 0.324814i
\(261\) 0.665366 + 4.20095i 0.0411851 + 0.260032i
\(262\) 13.2233 + 20.2712i 0.816939 + 1.25236i
\(263\) 1.48872 9.39942i 0.0917985 0.579593i −0.898318 0.439346i \(-0.855210\pi\)
0.990117 0.140247i \(-0.0447897\pi\)
\(264\) −8.82378 + 8.93281i −0.543066 + 0.549776i
\(265\) −9.43752 19.7217i −0.579742 1.21149i
\(266\) −0.338124 0.0711474i −0.0207317 0.00436233i
\(267\) −2.58779 + 7.96441i −0.158370 + 0.487414i
\(268\) 29.9084 + 3.01977i 1.82695 + 0.184462i
\(269\) −13.8795 + 7.07196i −0.846249 + 0.431185i −0.822658 0.568536i \(-0.807510\pi\)
−0.0235907 + 0.999722i \(0.507510\pi\)
\(270\) −5.48839 + 13.3754i −0.334012 + 0.814004i
\(271\) 6.72132 2.18389i 0.408291 0.132662i −0.0976686 0.995219i \(-0.531139\pi\)
0.505959 + 0.862557i \(0.331139\pi\)
\(272\) 4.77160 5.99208i 0.289321 0.363323i
\(273\) −0.195212 + 0.0309185i −0.0118148 + 0.00187127i
\(274\) 24.1069 + 1.21392i 1.45635 + 0.0733356i
\(275\) 23.2059 10.4027i 1.39937 0.627305i
\(276\) −5.49815 6.73310i −0.330950 0.405285i
\(277\) −10.4926 + 14.4418i −0.630437 + 0.867722i −0.998060 0.0622527i \(-0.980172\pi\)
0.367623 + 0.929975i \(0.380172\pi\)
\(278\) −25.4914 + 6.88634i −1.52887 + 0.413015i
\(279\) −11.4361 + 3.71583i −0.684664 + 0.222461i
\(280\) 0.224601 0.649510i 0.0134225 0.0388157i
\(281\) 21.4219 + 6.96039i 1.27792 + 0.415222i 0.867848 0.496830i \(-0.165503\pi\)
0.410074 + 0.912052i \(0.365503\pi\)
\(282\) −0.185213 0.00932650i −0.0110293 0.000555385i
\(283\) −6.86643 2.23104i −0.408167 0.132621i 0.0977350 0.995212i \(-0.468840\pi\)
−0.505902 + 0.862591i \(0.668840\pi\)
\(284\) 9.41893 + 16.1609i 0.558911 + 0.958975i
\(285\) −2.66694 + 3.48478i −0.157976 + 0.206420i
\(286\) 9.40950 11.6685i 0.556395 0.689974i
\(287\) −0.0697386 + 0.440312i −0.00411654 + 0.0259908i
\(288\) −11.6187 5.03116i −0.684641 0.296464i
\(289\) −7.83690 + 10.7866i −0.460994 + 0.634504i
\(290\) −5.84791 1.38346i −0.343401 0.0812395i
\(291\) −12.9353 2.04875i −0.758279 0.120100i
\(292\) 3.81090 + 9.80755i 0.223016 + 0.573943i
\(293\) −13.9764 −0.816507 −0.408254 0.912869i \(-0.633862\pi\)
−0.408254 + 0.912869i \(0.633862\pi\)
\(294\) −3.52452 7.87279i −0.205554 0.459151i
\(295\) 6.06484 + 0.151105i 0.353109 + 0.00879767i
\(296\) −11.9192 + 16.6191i −0.692792 + 0.965964i
\(297\) 20.7192 + 10.5569i 1.20225 + 0.612576i
\(298\) −21.2413 17.1290i −1.23047 0.992256i
\(299\) 7.33813 + 7.33813i 0.424375 + 0.424375i
\(300\) −6.21245 6.13056i −0.358676 0.353948i
\(301\) −0.0581533 + 0.0581533i −0.00335190 + 0.00335190i
\(302\) 2.59654 + 24.2273i 0.149414 + 1.39412i
\(303\) −3.93016 + 7.71337i −0.225782 + 0.443122i
\(304\) −7.03563 5.60259i −0.403521 0.321331i
\(305\) −6.96496 + 2.07274i −0.398812 + 0.118685i
\(306\) −5.66329 2.16065i −0.323749 0.123516i
\(307\) 13.4019i 0.764884i −0.923979 0.382442i \(-0.875083\pi\)
0.923979 0.382442i \(-0.124917\pi\)
\(308\) −1.01163 0.445455i −0.0576431 0.0253821i
\(309\) −0.180767 + 1.14132i −0.0102835 + 0.0649274i
\(310\) 1.27677 16.9411i 0.0725154 0.962189i
\(311\) 0.691984 + 0.502756i 0.0392388 + 0.0285087i 0.607232 0.794525i \(-0.292280\pi\)
−0.567993 + 0.823033i \(0.692280\pi\)
\(312\) −4.90244 1.55968i −0.277546 0.0882997i
\(313\) 17.4821 + 2.76889i 0.988146 + 0.156507i 0.629528 0.776978i \(-0.283248\pi\)
0.358618 + 0.933484i \(0.383248\pi\)
\(314\) 3.16282 + 29.5111i 0.178488 + 1.66541i
\(315\) −0.543670 0.0135455i −0.0306324 0.000763202i
\(316\) 8.67532 + 14.8850i 0.488025 + 0.837349i
\(317\) 1.47738 4.54692i 0.0829782 0.255381i −0.900957 0.433909i \(-0.857134\pi\)
0.983935 + 0.178529i \(0.0571338\pi\)
\(318\) 8.09395 + 8.95232i 0.453886 + 0.502021i
\(319\) −2.98676 + 9.19230i −0.167226 + 0.514670i
\(320\) 12.8078 12.4884i 0.715980 0.698121i
\(321\) 3.27534 + 10.0805i 0.182812 + 0.562636i
\(322\) 0.381274 0.663519i 0.0212476 0.0369765i
\(323\) −3.48340 2.53083i −0.193821 0.140819i
\(324\) −0.547341 + 5.42097i −0.0304078 + 0.301165i
\(325\) 8.11430 + 6.53677i 0.450101 + 0.362595i
\(326\) −4.96144 5.48761i −0.274789 0.303931i
\(327\) −0.438326 2.76748i −0.0242395 0.153042i
\(328\) −6.76281 + 9.42943i −0.373414 + 0.520653i
\(329\) −0.00504494 0.0155267i −0.000278136 0.000856016i
\(330\) −10.6443 + 9.15236i −0.585952 + 0.503821i
\(331\) 8.02630 + 15.7525i 0.441166 + 0.865836i 0.999348 + 0.0361176i \(0.0114991\pi\)
−0.558182 + 0.829719i \(0.688501\pi\)
\(332\) 1.19193 11.8051i 0.0654156 0.647889i
\(333\) 15.3917 + 5.00108i 0.843462 + 0.274057i
\(334\) −8.25306 12.6518i −0.451587 0.692277i
\(335\) 33.0536 + 6.08271i 1.80591 + 0.332334i
\(336\) −0.0167522 + 0.378996i −0.000913908 + 0.0206759i
\(337\) 13.2742 + 2.10242i 0.723090 + 0.114526i 0.507122 0.861874i \(-0.330709\pi\)
0.215968 + 0.976400i \(0.430709\pi\)
\(338\) −11.9807 2.52096i −0.651664 0.137122i
\(339\) 6.87454 1.08882i 0.373374 0.0591366i
\(340\) 5.86164 6.24361i 0.317892 0.338607i
\(341\) −26.9888 4.27460i −1.46152 0.231483i
\(342\) −2.53693 + 6.64958i −0.137182 + 0.359568i
\(343\) 1.07481 1.07481i 0.0580340 0.0580340i
\(344\) −2.03180 + 0.673994i −0.109548 + 0.0363393i
\(345\) −5.51497 8.00253i −0.296916 0.430842i
\(346\) −17.7469 10.1978i −0.954081 0.548239i
\(347\) −0.106287 0.327118i −0.00570578 0.0175606i 0.948163 0.317784i \(-0.102939\pi\)
−0.953869 + 0.300224i \(0.902939\pi\)
\(348\) 3.31191 0.187168i 0.177537 0.0100332i
\(349\) 22.7334 + 22.7334i 1.21689 + 1.21689i 0.968714 + 0.248179i \(0.0798323\pi\)
0.248179 + 0.968714i \(0.420168\pi\)
\(350\) 0.309299 0.703364i 0.0165328 0.0375964i
\(351\) 9.52767i 0.508549i
\(352\) −18.3346 22.1734i −0.977235 1.18185i
\(353\) −19.5305 9.95129i −1.03950 0.529654i −0.151005 0.988533i \(-0.548251\pi\)
−0.888499 + 0.458879i \(0.848251\pi\)
\(354\) −3.23299 + 0.873374i −0.171832 + 0.0464193i
\(355\) 9.02736 + 18.8646i 0.479123 + 1.00123i
\(356\) −17.5622 7.73321i −0.930794 0.409859i
\(357\) 0.181618i 0.00961224i
\(358\) 7.50372 19.6681i 0.396584 1.03949i
\(359\) 11.5387 + 15.8817i 0.608990 + 0.838203i 0.996494 0.0836650i \(-0.0266626\pi\)
−0.387504 + 0.921868i \(0.626663\pi\)
\(360\) −12.4900 6.66216i −0.658281 0.351126i
\(361\) 8.19633 11.2813i 0.431386 0.593751i
\(362\) 8.29302 + 12.7131i 0.435871 + 0.668185i
\(363\) 7.62823 + 10.4994i 0.400378 + 0.551073i
\(364\) −0.0255541 0.452177i −0.00133940 0.0237005i
\(365\) 3.35544 + 11.2752i 0.175632 + 0.590170i
\(366\) 3.35973 2.19162i 0.175616 0.114558i
\(367\) 1.01521 + 1.99246i 0.0529935 + 0.104006i 0.915984 0.401214i \(-0.131412\pi\)
−0.862991 + 0.505219i \(0.831412\pi\)
\(368\) 16.6163 10.9852i 0.866184 0.572643i
\(369\) 8.73306 + 2.83754i 0.454625 + 0.147717i
\(370\) −14.7921 + 17.4362i −0.769007 + 0.906463i
\(371\) −0.482352 + 0.946668i −0.0250424 + 0.0491486i
\(372\) 1.98736 + 9.16515i 0.103040 + 0.475191i
\(373\) −25.1149 18.2471i −1.30040 0.944797i −0.300443 0.953800i \(-0.597134\pi\)
−0.999959 + 0.00900257i \(0.997134\pi\)
\(374\) −9.23768 10.2174i −0.477669 0.528327i
\(375\) −6.36569 7.39601i −0.328723 0.381928i
\(376\) 0.0638980 0.420116i 0.00329529 0.0216658i
\(377\) −3.91141 + 0.619506i −0.201448 + 0.0319062i
\(378\) 0.678269 0.183230i 0.0348864 0.00942435i
\(379\) 1.77063 3.47505i 0.0909510 0.178501i −0.841050 0.540958i \(-0.818062\pi\)
0.932001 + 0.362456i \(0.118062\pi\)
\(380\) −7.33096 6.88247i −0.376071 0.353063i
\(381\) −1.88037 3.69044i −0.0963344 0.189067i
\(382\) −10.7969 + 9.76168i −0.552419 + 0.499451i
\(383\) −23.0519 + 11.7455i −1.17790 + 0.600168i −0.929619 0.368522i \(-0.879864\pi\)
−0.248276 + 0.968689i \(0.579864\pi\)
\(384\) −4.81429 + 8.62153i −0.245678 + 0.439966i
\(385\) −1.08682 0.588309i −0.0553895 0.0299830i
\(386\) −16.0259 12.9233i −0.815698 0.657779i
\(387\) 0.995697 + 1.37046i 0.0506141 + 0.0696643i
\(388\) 7.64851 29.0193i 0.388294 1.47323i
\(389\) 9.02710 1.42975i 0.457692 0.0724913i 0.0766684 0.997057i \(-0.475572\pi\)
0.381023 + 0.924565i \(0.375572\pi\)
\(390\) −5.32123 2.18348i −0.269451 0.110565i
\(391\) 7.71490 5.60520i 0.390159 0.283467i
\(392\) 18.7603 6.22322i 0.947540 0.314320i
\(393\) −10.5621 10.5621i −0.532789 0.532789i
\(394\) 11.1644 + 24.9382i 0.562456 + 1.25637i
\(395\) 8.31466 + 17.3752i 0.418356 + 0.874242i
\(396\) −12.3221 + 19.1454i −0.619207 + 0.962094i
\(397\) −9.39705 28.9212i −0.471625 1.45151i −0.850456 0.526046i \(-0.823674\pi\)
0.378832 0.925466i \(-0.376326\pi\)
\(398\) −35.8049 + 3.83735i −1.79474 + 0.192349i
\(399\) 0.213248 0.0106757
\(400\) 15.4070 12.7524i 0.770350 0.637621i
\(401\) 1.05726 0.0527971 0.0263985 0.999651i \(-0.491596\pi\)
0.0263985 + 0.999651i \(0.491596\pi\)
\(402\) −18.4466 + 1.97700i −0.920034 + 0.0986038i
\(403\) −3.45972 10.6479i −0.172341 0.530411i
\(404\) −16.6809 10.7359i −0.829904 0.534129i
\(405\) −1.10251 + 5.99105i −0.0547839 + 0.297698i
\(406\) 0.119324 + 0.266537i 0.00592196 + 0.0132280i
\(407\) 26.0050 + 26.0050i 1.28902 + 1.28902i
\(408\) −2.12028 + 4.22523i −0.104970 + 0.209180i
\(409\) −31.2054 + 22.6720i −1.54301 + 1.12106i −0.594592 + 0.804027i \(0.702687\pi\)
−0.948415 + 0.317033i \(0.897313\pi\)
\(410\) −8.39286 + 9.89303i −0.414494 + 0.488582i
\(411\) −14.7134 + 2.33037i −0.725758 + 0.114949i
\(412\) −2.56046 0.674852i −0.126145 0.0332476i
\(413\) −0.173289 0.238512i −0.00852700 0.0117364i
\(414\) −12.2702 9.89468i −0.603046 0.486297i
\(415\) 2.40090 13.0465i 0.117855 0.640429i
\(416\) 4.68440 10.8179i 0.229671 0.530393i
\(417\) 14.5201 7.39836i 0.711053 0.362299i
\(418\) −11.9968 + 10.8465i −0.586780 + 0.530518i
\(419\) −8.48780 16.6582i −0.414656 0.813809i −0.999995 0.00302006i \(-0.999039\pi\)
0.585339 0.810788i \(-0.300961\pi\)
\(420\) −0.0531056 + 0.420807i −0.00259129 + 0.0205333i
\(421\) 9.52389 18.6917i 0.464166 0.910977i −0.533700 0.845674i \(-0.679199\pi\)
0.997866 0.0653027i \(-0.0208013\pi\)
\(422\) 34.0350 9.19435i 1.65680 0.447574i
\(423\) −0.332133 + 0.0526047i −0.0161489 + 0.00255773i
\(424\) −22.2734 + 16.3925i −1.08169 + 0.796089i
\(425\) 7.09917 6.42485i 0.344360 0.311651i
\(426\) −7.74219 8.56326i −0.375110 0.414891i
\(427\) 0.285694 + 0.207569i 0.0138257 + 0.0100450i
\(428\) −23.7362 + 5.14693i −1.14733 + 0.248786i
\(429\) −4.19993 + 8.24282i −0.202774 + 0.397967i
\(430\) −2.32535 + 0.566433i −0.112139 + 0.0273158i
\(431\) 6.11937 + 1.98830i 0.294760 + 0.0957732i 0.452664 0.891681i \(-0.350474\pi\)
−0.157904 + 0.987454i \(0.550474\pi\)
\(432\) 17.9186 + 3.65565i 0.862109 + 0.175882i
\(433\) 4.29091 + 8.42139i 0.206208 + 0.404706i 0.970829 0.239775i \(-0.0770735\pi\)
−0.764620 + 0.644481i \(0.777074\pi\)
\(434\) −0.691484 + 0.451070i −0.0331923 + 0.0216521i
\(435\) 3.70759 + 0.0923742i 0.177765 + 0.00442900i
\(436\) 6.41042 0.362275i 0.307004 0.0173498i
\(437\) −6.58137 9.05848i −0.314830 0.433326i
\(438\) −3.54789 5.43887i −0.169525 0.259879i
\(439\) −20.4736 + 28.1794i −0.977150 + 1.34493i −0.0387985 + 0.999247i \(0.512353\pi\)
−0.938351 + 0.345684i \(0.887647\pi\)
\(440\) −18.4160 26.3746i −0.877950 1.25736i
\(441\) −9.19360 12.6539i −0.437791 0.602567i
\(442\) 2.01173 5.27296i 0.0956880 0.250809i
\(443\) 6.29717i 0.299187i −0.988748 0.149594i \(-0.952203\pi\)
0.988748 0.149594i \(-0.0477966\pi\)
\(444\) 5.08654 11.5516i 0.241397 0.548215i
\(445\) −18.8675 10.2132i −0.894405 0.484152i
\(446\) 20.6012 5.56530i 0.975497 0.263525i
\(447\) 15.0052 + 7.64553i 0.709721 + 0.361621i
\(448\) −0.860210 0.125435i −0.0406411 0.00592626i
\(449\) 4.36106i 0.205811i 0.994691 + 0.102906i \(0.0328140\pi\)
−0.994691 + 0.102906i \(0.967186\pi\)
\(450\) −13.3127 8.55880i −0.627566 0.403466i
\(451\) 14.7549 + 14.7549i 0.694779 + 0.694779i
\(452\) 0.899907 + 15.9238i 0.0423281 + 0.748991i
\(453\) −4.64695 14.3018i −0.218333 0.671959i
\(454\) 11.1111 + 6.38474i 0.521472 + 0.299651i
\(455\) 0.0126119 0.506199i 0.000591255 0.0237310i
\(456\) 4.96107 + 2.48954i 0.232323 + 0.116583i
\(457\) −9.82371 + 9.82371i −0.459534 + 0.459534i −0.898502 0.438968i \(-0.855344\pi\)
0.438968 + 0.898502i \(0.355344\pi\)
\(458\) 1.43468 3.76047i 0.0670384 0.175715i
\(459\) 8.64727 + 1.36959i 0.403620 + 0.0639271i
\(460\) 19.5143 10.7313i 0.909860 0.500351i
\(461\) −23.6324 + 3.74300i −1.10067 + 0.174329i −0.680235 0.732994i \(-0.738122\pi\)
−0.420434 + 0.907323i \(0.638122\pi\)
\(462\) 0.667572 + 0.140469i 0.0310583 + 0.00653523i
\(463\) 28.2909 + 4.48083i 1.31479 + 0.208242i 0.774144 0.633010i \(-0.218181\pi\)
0.540644 + 0.841252i \(0.318181\pi\)
\(464\) −0.335659 + 7.59385i −0.0155826 + 0.352535i
\(465\) 1.38178 + 10.3936i 0.0640785 + 0.481993i
\(466\) 20.7649 + 31.8323i 0.961916 + 1.47460i
\(467\) −1.04174 0.338483i −0.0482061 0.0156631i 0.284815 0.958583i \(-0.408068\pi\)
−0.333021 + 0.942919i \(0.608068\pi\)
\(468\) −9.28148 0.937125i −0.429037 0.0433186i
\(469\) −0.741475 1.45523i −0.0342381 0.0671961i
\(470\) 0.109378 0.462344i 0.00504524 0.0213263i
\(471\) −5.66041 17.4210i −0.260818 0.802716i
\(472\) −1.24697 7.57188i −0.0573967 0.348524i
\(473\) 0.602186 + 3.80205i 0.0276885 + 0.174819i
\(474\) −7.13095 7.88720i −0.327535 0.362271i
\(475\) −7.54377 8.33552i −0.346132 0.382460i
\(476\) −0.414067 0.0418072i −0.0189787 0.00191623i
\(477\) 17.7049 + 12.8634i 0.810652 + 0.588973i
\(478\) −12.1292 + 21.1081i −0.554778 + 0.965461i
\(479\) −6.42394 19.7709i −0.293517 0.903354i −0.983715 0.179733i \(-0.942477\pi\)
0.690198 0.723621i \(-0.257523\pi\)
\(480\) −6.14814 + 9.16982i −0.280623 + 0.418543i
\(481\) −4.65639 + 14.3309i −0.212313 + 0.653432i
\(482\) 26.3950 + 29.1943i 1.20226 + 1.32976i
\(483\) −0.145947 + 0.449177i −0.00664080 + 0.0204383i
\(484\) −25.6932 + 14.9746i −1.16787 + 0.680662i
\(485\) 11.1599 31.6422i 0.506744 1.43680i
\(486\) −2.42536 22.6301i −0.110016 1.02652i
\(487\) 31.1023 + 4.92612i 1.40938 + 0.223224i 0.814301 0.580443i \(-0.197121\pi\)
0.595079 + 0.803667i \(0.297121\pi\)
\(488\) 4.22325 + 8.16426i 0.191177 + 0.369579i
\(489\) 3.69377 + 2.68368i 0.167038 + 0.121360i
\(490\) 21.4708 5.23006i 0.969951 0.236270i
\(491\) 1.32316 8.35413i 0.0597136 0.377017i −0.939676 0.342067i \(-0.888873\pi\)
0.999389 0.0349495i \(-0.0111270\pi\)
\(492\) 2.88603 6.55422i 0.130112 0.295487i
\(493\) 3.63903i 0.163894i
\(494\) −6.19127 2.36208i −0.278558 0.106275i
\(495\) −15.4706 + 20.2148i −0.695351 + 0.908586i
\(496\) −21.3529 + 2.42119i −0.958774 + 0.108715i
\(497\) 0.461389 0.905526i 0.0206961 0.0406184i
\(498\) 0.780338 + 7.28103i 0.0349678 + 0.326271i
\(499\) −2.24492 + 2.24492i −0.100497 + 0.100497i −0.755567 0.655071i \(-0.772639\pi\)
0.655071 + 0.755567i \(0.272639\pi\)
\(500\) 18.3273 12.8105i 0.819624 0.572902i
\(501\) 6.59214 + 6.59214i 0.294515 + 0.294515i
\(502\) 10.2741 + 8.28504i 0.458555 + 0.369779i
\(503\) 8.77500 + 4.47109i 0.391258 + 0.199356i 0.638542 0.769587i \(-0.279538\pi\)
−0.247284 + 0.968943i \(0.579538\pi\)
\(504\) 0.111782 + 0.678765i 0.00497919 + 0.0302346i
\(505\) −17.6125 13.4791i −0.783748 0.599811i
\(506\) −14.6361 32.6929i −0.650652 1.45338i
\(507\) 7.55597 0.335573
\(508\) 8.84661 3.43751i 0.392505 0.152515i
\(509\) 38.2710 + 6.06153i 1.69633 + 0.268672i 0.928325 0.371770i \(-0.121249\pi\)
0.768006 + 0.640442i \(0.221249\pi\)
\(510\) −2.74664 + 4.51566i −0.121623 + 0.199957i
\(511\) 0.336022 0.462494i 0.0148647 0.0204595i
\(512\) −18.5478 12.9606i −0.819707 0.572783i
\(513\) 1.60811 10.1532i 0.0710000 0.448276i
\(514\) −6.32743 + 7.84651i −0.279091 + 0.346095i
\(515\) −2.79189 0.984671i −0.123025 0.0433898i
\(516\) 1.14143 0.665252i 0.0502489 0.0292861i
\(517\) −0.726756 0.236137i −0.0319627 0.0103853i
\(518\) 1.10976 + 0.0558824i 0.0487599 + 0.00245533i
\(519\) 12.0140 + 3.90359i 0.527356 + 0.171348i
\(520\) 6.20298 11.6292i 0.272018 0.509972i
\(521\) 27.7476 9.01573i 1.21564 0.394986i 0.370149 0.928972i \(-0.379307\pi\)
0.845493 + 0.533986i \(0.179307\pi\)
\(522\) 5.80694 1.56871i 0.254163 0.0686606i
\(523\) −14.9048 + 20.5147i −0.651740 + 0.897043i −0.999173 0.0406615i \(-0.987053\pi\)
0.347433 + 0.937705i \(0.387053\pi\)
\(524\) 26.5117 21.6491i 1.15817 0.945743i
\(525\) −0.0974147 + 0.464094i −0.00425153 + 0.0202547i
\(526\) −13.4414 0.676852i −0.586075 0.0295122i
\(527\) −10.1613 + 1.60940i −0.442635 + 0.0701065i
\(528\) 13.8907 + 11.0614i 0.604517 + 0.481387i
\(529\) 1.71047 0.555766i 0.0743683 0.0241637i
\(530\) −26.3096 + 16.2428i −1.14281 + 0.705542i
\(531\) −5.41069 + 2.75688i −0.234804 + 0.119639i
\(532\) −0.0490881 + 0.486179i −0.00212824 + 0.0210785i
\(533\) −2.64197 + 8.13114i −0.114436 + 0.352199i
\(534\) 11.5892 + 2.43858i 0.501515 + 0.105528i
\(535\) −26.9178 + 3.57858i −1.16376 + 0.154715i
\(536\) −0.261037 42.5112i −0.0112751 1.83620i
\(537\) −2.03237 + 12.8319i −0.0877033 + 0.553737i
\(538\) 12.0360 + 18.4511i 0.518910 + 0.795481i
\(539\) −5.56019 35.1056i −0.239494 1.51211i
\(540\) 19.6352 + 5.70182i 0.844962 + 0.245367i
\(541\) 2.44826 15.4577i 0.105259 0.664579i −0.877484 0.479605i \(-0.840780\pi\)
0.982743 0.184974i \(-0.0592201\pi\)
\(542\) −4.08383 9.12213i −0.175415 0.391829i
\(543\) −6.62405 6.62405i −0.284265 0.284265i
\(544\) −9.14493 5.80660i −0.392086 0.248956i
\(545\) 7.17628 + 0.178796i 0.307398 + 0.00765879i
\(546\) 0.0728956 + 0.269840i 0.00311964 + 0.0115481i
\(547\) −28.2935 + 9.19310i −1.20974 + 0.393069i −0.843336 0.537387i \(-0.819411\pi\)
−0.366405 + 0.930456i \(0.619411\pi\)
\(548\) −1.92605 34.0812i −0.0822766 1.45588i
\(549\) 5.14337 5.14337i 0.219514 0.219514i
\(550\) −18.1251 31.0636i −0.772855 1.32456i
\(551\) 4.27278 0.182027
\(552\) −8.63923 + 8.74598i −0.367710 + 0.372254i
\(553\) 0.424962 0.834036i 0.0180712 0.0354668i
\(554\) 21.8887 + 12.5778i 0.929963 + 0.534379i
\(555\) 6.71777 12.4102i 0.285153 0.526782i
\(556\) 13.5250 + 34.8071i 0.573586 + 1.47615i
\(557\) −28.6264 −1.21294 −0.606469 0.795107i \(-0.707415\pi\)
−0.606469 + 0.795107i \(0.707415\pi\)
\(558\) 6.94853 + 15.5211i 0.294155 + 0.657059i
\(559\) −1.27600 + 0.927069i −0.0539691 + 0.0392109i
\(560\) −0.947164 0.217941i −0.0400250 0.00920970i
\(561\) 6.87742 + 4.99673i 0.290365 + 0.210962i
\(562\) 6.55906 31.1716i 0.276677 1.31489i
\(563\) 25.8001 18.7449i 1.08734 0.790002i 0.108396 0.994108i \(-0.465429\pi\)
0.978949 + 0.204105i \(0.0654285\pi\)
\(564\) 0.0147977 + 0.261844i 0.000623097 + 0.0110256i
\(565\) −0.444138 + 17.8262i −0.0186850 + 0.749953i
\(566\) −2.10240 + 9.99153i −0.0883705 + 0.419975i
\(567\) 0.263763 0.134394i 0.0110770 0.00564402i
\(568\) 21.3054 15.6801i 0.893954 0.657920i
\(569\) 5.57299 17.1519i 0.233632 0.719045i −0.763668 0.645609i \(-0.776604\pi\)
0.997300 0.0734357i \(-0.0233964\pi\)
\(570\) 5.30208 + 3.22497i 0.222080 + 0.135079i
\(571\) −31.4706 16.0351i −1.31700 0.671046i −0.352672 0.935747i \(-0.614727\pi\)
−0.964331 + 0.264701i \(0.914727\pi\)
\(572\) −17.8259 11.4728i −0.745336 0.479701i
\(573\) 5.28017 7.26753i 0.220582 0.303605i
\(574\) 0.629660 + 0.0317069i 0.0262815 + 0.00132342i
\(575\) 22.7206 10.1851i 0.947515 0.424748i
\(576\) −5.32363 + 17.0960i −0.221818 + 0.712335i
\(577\) 5.61485 + 35.4508i 0.233749 + 1.47583i 0.773386 + 0.633936i \(0.218562\pi\)
−0.539636 + 0.841898i \(0.681438\pi\)
\(578\) 16.3487 + 9.39436i 0.680016 + 0.390754i
\(579\) 11.3210 + 5.76832i 0.470483 + 0.239723i
\(580\) −1.06406 + 8.43159i −0.0441828 + 0.350103i
\(581\) −0.574389 + 0.292666i −0.0238297 + 0.0121418i
\(582\) −0.931469 + 18.4978i −0.0386106 + 0.766760i
\(583\) 22.5773 + 44.3105i 0.935057 + 1.83515i
\(584\) 13.2167 6.83678i 0.546910 0.282908i
\(585\) −10.2575 1.88765i −0.424097 0.0780446i
\(586\) 2.10629 + 19.6530i 0.0870101 + 0.811858i
\(587\) −0.990949 + 0.719967i −0.0409008 + 0.0297162i −0.608048 0.793900i \(-0.708047\pi\)
0.567147 + 0.823617i \(0.308047\pi\)
\(588\) −10.5393 + 6.14250i −0.434631 + 0.253312i
\(589\) 1.88968 + 11.9310i 0.0778630 + 0.491608i
\(590\) −0.701518 8.55092i −0.0288810 0.352036i
\(591\) −9.91178 13.6424i −0.407716 0.561173i
\(592\) 25.1654 + 14.2558i 1.03429 + 0.585910i
\(593\) −8.30474 + 8.30474i −0.341035 + 0.341035i −0.856756 0.515721i \(-0.827524\pi\)
0.515721 + 0.856756i \(0.327524\pi\)
\(594\) 11.7223 30.7254i 0.480971 1.26068i
\(595\) −0.457611 0.0842121i −0.0187602 0.00345236i
\(596\) −20.8850 + 32.4501i −0.855482 + 1.32921i
\(597\) 21.1363 6.86760i 0.865051 0.281072i
\(598\) 9.21270 11.4245i 0.376735 0.467181i
\(599\) 42.5496i 1.73853i 0.494346 + 0.869265i \(0.335408\pi\)
−0.494346 + 0.869265i \(0.664592\pi\)
\(600\) −7.68432 + 9.65960i −0.313711 + 0.394351i
\(601\) 11.7391i 0.478849i 0.970915 + 0.239425i \(0.0769588\pi\)
−0.970915 + 0.239425i \(0.923041\pi\)
\(602\) 0.0905368 + 0.0730090i 0.00369001 + 0.00297562i
\(603\) −31.9945 + 10.3956i −1.30292 + 0.423343i
\(604\) 33.6762 7.30230i 1.37026 0.297126i
\(605\) −29.9916 + 14.3520i −1.21933 + 0.583493i
\(606\) 11.4385 + 4.36400i 0.464659 + 0.177275i
\(607\) 14.9939 14.9939i 0.608585 0.608585i −0.333991 0.942576i \(-0.608395\pi\)
0.942576 + 0.333991i \(0.108395\pi\)
\(608\) −6.81785 + 10.7376i −0.276500 + 0.435466i
\(609\) −0.105936 0.145808i −0.00429274 0.00590845i
\(610\) 3.96425 + 9.48148i 0.160508 + 0.383894i
\(611\) −0.0489790 0.309241i −0.00198148 0.0125106i
\(612\) −2.18473 + 8.28912i −0.0883126 + 0.335068i
\(613\) 35.6008 25.8655i 1.43790 1.04470i 0.449425 0.893318i \(-0.351629\pi\)
0.988476 0.151378i \(-0.0483711\pi\)
\(614\) −18.8452 + 2.01971i −0.760529 + 0.0815090i
\(615\) 3.81157 7.04135i 0.153697 0.283935i
\(616\) −0.473924 + 1.48965i −0.0190949 + 0.0600197i
\(617\) 11.5183 + 22.6060i 0.463710 + 0.910083i 0.997903 + 0.0647204i \(0.0206156\pi\)
−0.534193 + 0.845363i \(0.679384\pi\)
\(618\) 1.63212 + 0.0821864i 0.0656536 + 0.00330602i
\(619\) −23.5912 + 12.0203i −0.948211 + 0.483138i −0.858491 0.512829i \(-0.828597\pi\)
−0.0897204 + 0.995967i \(0.528597\pi\)
\(620\) −24.0143 + 0.757751i −0.964438 + 0.0304320i
\(621\) 20.2858 + 10.3361i 0.814042 + 0.414775i
\(622\) 0.602671 1.04881i 0.0241649 0.0420534i
\(623\) 0.163097 + 1.02976i 0.00653436 + 0.0412563i
\(624\) −1.45435 + 7.12866i −0.0582205 + 0.285375i
\(625\) 21.5868 12.6098i 0.863474 0.504394i
\(626\) 1.25889 24.9999i 0.0503152 0.999197i
\(627\) 5.86694 8.07515i 0.234303 0.322490i
\(628\) 41.0207 8.89488i 1.63690 0.354944i
\(629\) 12.3373 + 6.28617i 0.491920 + 0.250646i
\(630\) 0.0628862 + 0.766529i 0.00250544 + 0.0305393i
\(631\) 6.27795 19.3216i 0.249921 0.769179i −0.744867 0.667214i \(-0.767487\pi\)
0.994788 0.101966i \(-0.0325131\pi\)
\(632\) 19.6234 14.4421i 0.780575 0.574477i
\(633\) −19.3866 + 9.87799i −0.770550 + 0.392615i
\(634\) −6.61635 1.39220i −0.262769 0.0552914i
\(635\) 10.1704 3.02668i 0.403602 0.120110i
\(636\) 11.3686 12.7305i 0.450795 0.504799i
\(637\) 11.7818 8.55995i 0.466810 0.339157i
\(638\) 13.3760 + 2.81455i 0.529559 + 0.111429i
\(639\) −16.9355 12.3043i −0.669956 0.486752i
\(640\) −19.4908 16.1278i −0.770443 0.637509i
\(641\) 23.4493 17.0369i 0.926192 0.672918i −0.0188653 0.999822i \(-0.506005\pi\)
0.945058 + 0.326904i \(0.106005\pi\)
\(642\) 13.6811 6.12482i 0.539951 0.241727i
\(643\) −49.3538 −1.94632 −0.973162 0.230122i \(-0.926087\pi\)
−0.973162 + 0.230122i \(0.926087\pi\)
\(644\) −0.990474 0.436138i −0.0390302 0.0171862i
\(645\) 1.33239 0.637596i 0.0524628 0.0251053i
\(646\) −3.03380 + 5.27962i −0.119363 + 0.207724i
\(647\) 14.9495 29.3400i 0.587724 1.15347i −0.385305 0.922789i \(-0.625904\pi\)
0.973029 0.230683i \(-0.0740962\pi\)
\(648\) 7.70525 0.0473135i 0.302691 0.00185865i
\(649\) −13.7994 −0.541675
\(650\) 7.96890 12.3951i 0.312566 0.486177i
\(651\) 0.360292 0.360292i 0.0141210 0.0141210i
\(652\) −6.96876 + 7.80359i −0.272918 + 0.305612i
\(653\) 10.0531 3.26645i 0.393408 0.127826i −0.105631 0.994405i \(-0.533686\pi\)
0.499039 + 0.866579i \(0.333686\pi\)
\(654\) −3.82547 + 1.03343i −0.149588 + 0.0404102i
\(655\) 31.5101 21.7153i 1.23120 0.848486i
\(656\) 14.2785 + 8.08855i 0.557481 + 0.315805i
\(657\) −8.32631 8.32631i −0.324840 0.324840i
\(658\) −0.0210728 + 0.00943393i −0.000821502 + 0.000367773i
\(659\) 4.66399 29.4473i 0.181683 1.14710i −0.713253 0.700907i \(-0.752779\pi\)
0.894936 0.446195i \(-0.147221\pi\)
\(660\) 14.4738 + 13.5884i 0.563393 + 0.528926i
\(661\) −0.769833 4.86054i −0.0299430 0.189053i 0.968183 0.250243i \(-0.0805105\pi\)
−0.998126 + 0.0611899i \(0.980510\pi\)
\(662\) 20.9410 13.6602i 0.813894 0.530920i
\(663\) −0.544873 + 3.44019i −0.0211611 + 0.133606i
\(664\) −16.7795 + 0.103033i −0.651171 + 0.00399847i
\(665\) −0.0988780 + 0.537306i −0.00383432 + 0.0208358i
\(666\) 4.71272 22.3969i 0.182614 0.867864i
\(667\) −2.92429 + 9.00004i −0.113229 + 0.348483i
\(668\) −16.5467 + 13.5118i −0.640213 + 0.522788i
\(669\) −11.7347 + 5.97910i −0.453688 + 0.231165i
\(670\) 3.57196 47.3954i 0.137997 1.83104i
\(671\) 15.7202 5.10781i 0.606872 0.197185i
\(672\) 0.535454 0.0335600i 0.0206556 0.00129460i
\(673\) 9.49659 1.50411i 0.366067 0.0579792i 0.0293084 0.999570i \(-0.490670\pi\)
0.336758 + 0.941591i \(0.390670\pi\)
\(674\) 0.955873 18.9825i 0.0368189 0.731177i
\(675\) 21.3620 + 8.13792i 0.822225 + 0.313229i
\(676\) −1.73933 + 17.2267i −0.0668974 + 0.662566i
\(677\) 12.5753 17.3084i 0.483308 0.665217i −0.495828 0.868421i \(-0.665135\pi\)
0.979136 + 0.203204i \(0.0651354\pi\)
\(678\) −2.56708 9.50262i −0.0985880 0.364946i
\(679\) −1.55071 + 0.503855i −0.0595107 + 0.0193362i
\(680\) −9.66289 7.30147i −0.370555 0.279999i
\(681\) −7.52183 2.44399i −0.288237 0.0936539i
\(682\) −1.94346 + 38.5948i −0.0744190 + 1.47787i
\(683\) −39.5981 12.8662i −1.51518 0.492312i −0.570777 0.821105i \(-0.693358\pi\)
−0.944402 + 0.328793i \(0.893358\pi\)
\(684\) 9.73271 + 2.56522i 0.372139 + 0.0980835i
\(685\) 0.950575 38.1529i 0.0363196 1.45775i
\(686\) −1.67333 1.34937i −0.0638879 0.0515193i
\(687\) −0.388582 + 2.45341i −0.0148253 + 0.0936035i
\(688\) 1.25395 + 2.75547i 0.0478062 + 0.105051i
\(689\) −11.9768 + 16.4846i −0.456279 + 0.628014i
\(690\) −10.4217 + 8.96094i −0.396748 + 0.341137i
\(691\) −14.0134 2.21951i −0.533095 0.0844340i −0.115917 0.993259i \(-0.536981\pi\)
−0.417178 + 0.908825i \(0.636981\pi\)
\(692\) −11.6652 + 26.4919i −0.443446 + 1.00707i
\(693\) 1.23702 0.0469906
\(694\) −0.443962 + 0.198754i −0.0168526 + 0.00754462i
\(695\) 11.9085 + 40.0158i 0.451716 + 1.51789i
\(696\) −0.762306 4.62887i −0.0288951 0.175457i
\(697\) 7.00001 + 3.56668i 0.265144 + 0.135098i
\(698\) 28.5409 35.3929i 1.08029 1.33964i
\(699\) −16.5860 16.5860i −0.627340 0.627340i
\(700\) −1.03566 0.328925i −0.0391441 0.0124322i
\(701\) 6.08721 6.08721i 0.229911 0.229911i −0.582745 0.812655i \(-0.698021\pi\)
0.812655 + 0.582745i \(0.198021\pi\)
\(702\) 13.3974 1.43586i 0.505654 0.0541930i
\(703\) 7.38093 14.4859i 0.278377 0.546346i
\(704\) −28.4163 + 29.1230i −1.07098 + 1.09761i
\(705\) −0.00730323 + 0.293127i −0.000275056 + 0.0110398i
\(706\) −11.0498 + 28.9627i −0.415864 + 1.09003i
\(707\) 1.07778i 0.0405342i
\(708\) 1.71533 + 4.41448i 0.0644660 + 0.165906i
\(709\) −5.32077 + 33.5940i −0.199826 + 1.26165i 0.660080 + 0.751196i \(0.270523\pi\)
−0.859905 + 0.510454i \(0.829477\pi\)
\(710\) 25.1661 15.5369i 0.944469 0.583089i
\(711\) −15.5984 11.3329i −0.584986 0.425017i
\(712\) −8.22744 + 25.8607i −0.308336 + 0.969170i
\(713\) −26.4243 4.18520i −0.989598 0.156737i
\(714\) 0.255384 0.0273705i 0.00955751 0.00102432i
\(715\) −18.8215 14.4043i −0.703884 0.538690i
\(716\) −28.7873 7.58737i −1.07583 0.283553i
\(717\) 4.64290 14.2894i 0.173392 0.533646i
\(718\) 20.5933 18.6187i 0.768534 0.694845i
\(719\) 3.31996 10.2178i 0.123814 0.381059i −0.869869 0.493282i \(-0.835797\pi\)
0.993683 + 0.112223i \(0.0357971\pi\)
\(720\) −7.48577 + 18.5670i −0.278978 + 0.691950i
\(721\) 0.0444567 + 0.136824i 0.00165565 + 0.00509558i
\(722\) −17.0985 9.82522i −0.636341 0.365657i
\(723\) −19.6510 14.2773i −0.730828 0.530978i
\(724\) 16.6269 13.5772i 0.617932 0.504594i
\(725\) −1.95187 + 9.29893i −0.0724907 + 0.345354i
\(726\) 13.6142 12.3088i 0.505270 0.456823i
\(727\) −6.17658 38.9974i −0.229077 1.44633i −0.787262 0.616618i \(-0.788502\pi\)
0.558186 0.829716i \(-0.311498\pi\)
\(728\) −0.631982 + 0.104078i −0.0234228 + 0.00385739i
\(729\) 1.81506 + 5.58617i 0.0672244 + 0.206895i
\(730\) 15.3490 6.41751i 0.568093 0.237523i
\(731\) 0.657980 + 1.29136i 0.0243363 + 0.0477626i
\(732\) −3.58810 4.39403i −0.132620 0.162408i
\(733\) 0.172427 + 0.0560250i 0.00636875 + 0.00206933i 0.312200 0.950017i \(-0.398934\pi\)
−0.305831 + 0.952086i \(0.598934\pi\)
\(734\) 2.64873 1.72782i 0.0977663 0.0637750i
\(735\) −12.3024 + 5.88714i −0.453781 + 0.217150i
\(736\) −17.9511 21.7097i −0.661686 0.800229i
\(737\) −75.5054 11.9589i −2.78128 0.440511i
\(738\) 2.67393 12.7077i 0.0984289 0.467777i
\(739\) −25.6257 + 4.05871i −0.942655 + 0.149302i −0.608801 0.793323i \(-0.708349\pi\)
−0.333854 + 0.942625i \(0.608349\pi\)
\(740\) 26.7473 + 18.1724i 0.983250 + 0.668032i
\(741\) 4.03932 + 0.639765i 0.148388 + 0.0235024i
\(742\) 1.40386 + 0.535597i 0.0515373 + 0.0196624i
\(743\) −12.9072 + 12.9072i −0.473520 + 0.473520i −0.903052 0.429531i \(-0.858679\pi\)
0.429531 + 0.903052i \(0.358679\pi\)
\(744\) 12.5882 4.17577i 0.461505 0.153091i
\(745\) −26.2215 + 34.2625i −0.960681 + 1.25528i
\(746\) −21.8734 + 38.0655i −0.800842 + 1.39368i
\(747\) 4.10324 + 12.6285i 0.150130 + 0.462052i
\(748\) −12.9751 + 14.5295i −0.474416 + 0.531250i
\(749\) 0.933096 + 0.933096i 0.0340946 + 0.0340946i
\(750\) −9.44064 + 10.0658i −0.344723 + 0.367551i
\(751\) 41.9041i 1.52910i 0.644564 + 0.764550i \(0.277039\pi\)
−0.644564 + 0.764550i \(0.722961\pi\)
\(752\) −0.600380 0.0265377i −0.0218936 0.000967730i
\(753\) −7.25779 3.69803i −0.264489 0.134764i
\(754\) 1.46059 + 5.40671i 0.0531915 + 0.196901i
\(755\) 38.1901 5.07718i 1.38988 0.184777i
\(756\) −0.359869 0.926142i −0.0130883 0.0336834i
\(757\) 19.4802i 0.708021i −0.935241 0.354010i \(-0.884818\pi\)
0.935241 0.354010i \(-0.115182\pi\)
\(758\) −5.15332 1.96608i −0.187177 0.0714113i
\(759\) 12.9939 + 17.8845i 0.471648 + 0.649168i
\(760\) −8.57306 + 11.3457i −0.310977 + 0.411553i
\(761\) −5.87662 + 8.08847i −0.213027 + 0.293207i −0.902137 0.431450i \(-0.858002\pi\)
0.689109 + 0.724657i \(0.258002\pi\)
\(762\) −4.90597 + 3.20027i −0.177725 + 0.115934i
\(763\) −0.205046 0.282221i −0.00742316 0.0102171i
\(764\) 15.3536 + 13.7111i 0.555475 + 0.496050i
\(765\) −3.18773 + 9.03834i −0.115253 + 0.326782i
\(766\) 19.9901 + 30.6445i 0.722271 + 1.10723i
\(767\) −2.56687 5.03776i −0.0926842 0.181903i
\(768\) 12.8488 + 5.47036i 0.463641 + 0.197395i
\(769\) 15.8795 + 5.15957i 0.572630 + 0.186059i 0.580996 0.813906i \(-0.302663\pi\)
−0.00836623 + 0.999965i \(0.502663\pi\)
\(770\) −0.663469 + 1.61691i −0.0239098 + 0.0582692i
\(771\) 2.82425 5.54290i 0.101713 0.199623i
\(772\) −15.7571 + 24.4826i −0.567110 + 0.881149i