Properties

Label 441.2.bd.a.122.47
Level $441$
Weight $2$
Character 441.122
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bd (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 122.47
Character \(\chi\) \(=\) 441.122
Dual form 441.2.bd.a.47.47

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41528 - 1.52531i) q^{2} +(1.35556 - 1.07818i) q^{3} +(-0.174090 - 2.32308i) q^{4} +(-0.916315 + 1.14902i) q^{5} +(0.273934 - 3.59357i) q^{6} +(0.192616 - 2.63873i) q^{7} +(-0.536180 - 0.427589i) q^{8} +(0.675059 - 2.92306i) q^{9} +O(q^{10})\) \(q+(1.41528 - 1.52531i) q^{2} +(1.35556 - 1.07818i) q^{3} +(-0.174090 - 2.32308i) q^{4} +(-0.916315 + 1.14902i) q^{5} +(0.273934 - 3.59357i) q^{6} +(0.192616 - 2.63873i) q^{7} +(-0.536180 - 0.427589i) q^{8} +(0.675059 - 2.92306i) q^{9} +(0.455773 + 3.02386i) q^{10} +(-0.209086 - 0.0477225i) q^{11} +(-2.74068 - 2.96136i) q^{12} +(-0.777880 + 0.838355i) q^{13} +(-3.75228 - 4.02834i) q^{14} +(-0.00326320 + 2.54552i) q^{15} +(3.19609 - 0.481733i) q^{16} +(-0.231084 + 3.08361i) q^{17} +(-3.50318 - 5.16663i) q^{18} +(-2.52298 + 1.45664i) q^{19} +(2.82879 + 1.92864i) q^{20} +(-2.58392 - 3.78462i) q^{21} +(-0.368707 + 0.251380i) q^{22} +(0.271037 - 0.562813i) q^{23} +(-1.18784 - 0.00152274i) q^{24} +(0.631984 + 2.76890i) q^{25} +(0.177833 + 2.37302i) q^{26} +(-2.23650 - 4.69021i) q^{27} +(-6.16350 + 0.0119171i) q^{28} +(-1.23835 + 1.81632i) q^{29} +(3.87808 + 3.60760i) q^{30} +(1.55633 - 0.898547i) q^{31} +(4.56122 - 6.69008i) q^{32} +(-0.334881 + 0.160742i) q^{33} +(4.37641 + 4.71664i) q^{34} +(2.85547 + 2.63923i) q^{35} +(-6.90802 - 1.05934i) q^{36} +(-0.0841549 - 0.0573758i) q^{37} +(-1.34889 + 5.90988i) q^{38} +(-0.150562 + 1.97513i) q^{39} +(0.982620 - 0.224277i) q^{40} +(0.0371309 + 0.0946080i) q^{41} +(-9.42969 - 1.41501i) q^{42} +(0.816884 - 2.08139i) q^{43} +(-0.0744631 + 0.494030i) q^{44} +(2.74010 + 3.45411i) q^{45} +(-0.474872 - 1.20995i) q^{46} +(7.30126 + 6.77458i) q^{47} +(3.81308 - 4.09897i) q^{48} +(-6.92580 - 1.01652i) q^{49} +(5.11787 + 2.95481i) q^{50} +(3.01143 + 4.42915i) q^{51} +(2.08298 + 1.66112i) q^{52} +(7.89847 + 11.5849i) q^{53} +(-10.3193 - 3.22660i) q^{54} +(0.246423 - 0.196516i) q^{55} +(-1.23157 + 1.33247i) q^{56} +(-1.84951 + 4.69478i) q^{57} +(1.01784 + 4.45946i) q^{58} +(-4.49763 + 11.4598i) q^{59} +(5.91400 - 0.435569i) q^{60} +(-5.45990 - 0.409163i) q^{61} +(0.832080 - 3.64558i) q^{62} +(-7.58315 - 2.34433i) q^{63} +(-2.31058 - 10.1233i) q^{64} +(-0.250506 - 1.66200i) q^{65} +(-0.228770 + 0.738291i) q^{66} +(-5.90314 - 10.2245i) q^{67} +7.20368 q^{68} +(-0.239409 - 1.05515i) q^{69} +(8.06693 - 0.620220i) q^{70} +(3.12472 - 6.48855i) q^{71} +(-1.61182 + 1.27864i) q^{72} +(-2.76559 + 8.96582i) q^{73} +(-0.206619 + 0.0471594i) q^{74} +(3.84206 + 3.07201i) q^{75} +(3.82312 + 5.60748i) q^{76} +(-0.166200 + 0.542529i) q^{77} +(2.79960 + 3.02502i) q^{78} +(5.16065 - 8.93850i) q^{79} +(-2.37510 + 4.11380i) q^{80} +(-8.08859 - 3.94648i) q^{81} +(0.196857 + 0.0772608i) q^{82} +(0.623456 - 0.578483i) q^{83} +(-8.34212 + 6.66152i) q^{84} +(-3.33139 - 3.09108i) q^{85} +(-2.01864 - 4.19175i) q^{86} +(0.279672 + 3.79728i) q^{87} +(0.0917020 + 0.114991i) q^{88} +(10.4703 - 9.71502i) q^{89} +(9.14659 + 0.709029i) q^{90} +(2.06236 + 2.21410i) q^{91} +(-1.35464 - 0.531658i) q^{92} +(1.14090 - 2.89603i) q^{93} +(20.6667 - 1.54875i) q^{94} +(0.638128 - 4.23370i) q^{95} +(-1.03012 - 13.9866i) q^{96} +(0.374895 - 0.216446i) q^{97} +(-11.3525 + 9.12533i) q^{98} +(-0.280641 + 0.578956i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 18q^{2} - 11q^{3} - 60q^{4} - 15q^{5} - 22q^{6} - 5q^{7} + 13q^{9} + O(q^{10}) \) \( 648q - 18q^{2} - 11q^{3} - 60q^{4} - 15q^{5} - 22q^{6} - 5q^{7} + 13q^{9} - 22q^{10} - 21q^{11} + 24q^{12} - 10q^{13} - 24q^{14} - 10q^{15} + 42q^{16} + 9q^{17} + 12q^{18} - 36q^{19} - 15q^{20} - 38q^{21} - 9q^{22} - 84q^{23} - 38q^{24} - 97q^{25} - 6q^{26} - 20q^{27} - 26q^{28} - 123q^{29} - q^{30} - 6q^{31} - 30q^{32} - 8q^{33} - q^{34} + 70q^{36} - 13q^{37} - 75q^{38} - 24q^{39} - 7q^{40} - 15q^{41} - 133q^{42} - 9q^{43} - 51q^{44} - 41q^{45} - 108q^{46} - 36q^{47} + 15q^{48} + 5q^{49} - 45q^{50} + 10q^{51} - 35q^{52} + 12q^{53} - 50q^{54} + 14q^{55} + 33q^{56} - 7q^{57} + 33q^{58} - 3q^{59} + 180q^{60} + 55q^{61} - 66q^{62} - 20q^{63} + 64q^{64} + 3q^{65} + 285q^{66} + 13q^{67} + 6q^{68} + 82q^{69} + 11q^{70} + 63q^{71} - 21q^{72} - 22q^{73} - 21q^{74} - 107q^{75} + 21q^{76} - 69q^{77} + 63q^{78} + q^{79} + 45q^{80} - 211q^{81} - 28q^{82} + 9q^{83} + 239q^{84} - 10q^{85} - 21q^{86} - 109q^{87} - 29q^{88} - 132q^{89} - 275q^{90} - 13q^{91} + 195q^{92} + 19q^{93} - 4q^{94} - 129q^{95} - 5q^{96} - 3q^{97} - 21q^{98} - 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{37}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41528 1.52531i 1.00075 1.07856i 0.00384559 0.999993i \(-0.498776\pi\)
0.996909 0.0785644i \(-0.0250336\pi\)
\(3\) 1.35556 1.07818i 0.782630 0.622487i
\(4\) −0.174090 2.32308i −0.0870452 1.16154i
\(5\) −0.916315 + 1.14902i −0.409789 + 0.513859i −0.943303 0.331932i \(-0.892300\pi\)
0.533515 + 0.845791i \(0.320871\pi\)
\(6\) 0.273934 3.59357i 0.111833 1.46707i
\(7\) 0.192616 2.63873i 0.0728019 0.997346i
\(8\) −0.536180 0.427589i −0.189568 0.151176i
\(9\) 0.675059 2.92306i 0.225020 0.974354i
\(10\) 0.455773 + 3.02386i 0.144128 + 0.956227i
\(11\) −0.209086 0.0477225i −0.0630418 0.0143889i 0.190884 0.981613i \(-0.438865\pi\)
−0.253925 + 0.967224i \(0.581722\pi\)
\(12\) −2.74068 2.96136i −0.791167 0.854870i
\(13\) −0.777880 + 0.838355i −0.215745 + 0.232518i −0.831647 0.555305i \(-0.812601\pi\)
0.615902 + 0.787823i \(0.288792\pi\)
\(14\) −3.75228 4.02834i −1.00284 1.07662i
\(15\) −0.00326320 + 2.54552i −0.000842555 + 0.657249i
\(16\) 3.19609 0.481733i 0.799022 0.120433i
\(17\) −0.231084 + 3.08361i −0.0560462 + 0.747884i 0.896413 + 0.443219i \(0.146164\pi\)
−0.952459 + 0.304665i \(0.901455\pi\)
\(18\) −3.50318 5.16663i −0.825707 1.21779i
\(19\) −2.52298 + 1.45664i −0.578811 + 0.334177i −0.760661 0.649150i \(-0.775125\pi\)
0.181850 + 0.983326i \(0.441792\pi\)
\(20\) 2.82879 + 1.92864i 0.632537 + 0.431256i
\(21\) −2.58392 3.78462i −0.563858 0.825872i
\(22\) −0.368707 + 0.251380i −0.0786085 + 0.0535944i
\(23\) 0.271037 0.562813i 0.0565151 0.117355i −0.870799 0.491640i \(-0.836398\pi\)
0.927314 + 0.374285i \(0.122112\pi\)
\(24\) −1.18784 0.00152274i −0.242467 0.000310828i
\(25\) 0.631984 + 2.76890i 0.126397 + 0.553781i
\(26\) 0.177833 + 2.37302i 0.0348759 + 0.465387i
\(27\) −2.23650 4.69021i −0.430416 0.902631i
\(28\) −6.16350 + 0.0119171i −1.16479 + 0.00225212i
\(29\) −1.23835 + 1.81632i −0.229955 + 0.337282i −0.923823 0.382820i \(-0.874953\pi\)
0.693868 + 0.720102i \(0.255905\pi\)
\(30\) 3.87808 + 3.60760i 0.708038 + 0.658654i
\(31\) 1.55633 0.898547i 0.279525 0.161384i −0.353683 0.935365i \(-0.615071\pi\)
0.633208 + 0.773981i \(0.281738\pi\)
\(32\) 4.56122 6.69008i 0.806318 1.18265i
\(33\) −0.334881 + 0.160742i −0.0582953 + 0.0279815i
\(34\) 4.37641 + 4.71664i 0.750547 + 0.808898i
\(35\) 2.85547 + 2.63923i 0.482662 + 0.446111i
\(36\) −6.90802 1.05934i −1.15134 0.176556i
\(37\) −0.0841549 0.0573758i −0.0138350 0.00943253i 0.556383 0.830926i \(-0.312189\pi\)
−0.570218 + 0.821494i \(0.693141\pi\)
\(38\) −1.34889 + 5.90988i −0.218819 + 0.958709i
\(39\) −0.150562 + 1.97513i −0.0241092 + 0.316274i
\(40\) 0.982620 0.224277i 0.155366 0.0354612i
\(41\) 0.0371309 + 0.0946080i 0.00579887 + 0.0147753i 0.933744 0.357942i \(-0.116521\pi\)
−0.927945 + 0.372717i \(0.878426\pi\)
\(42\) −9.42969 1.41501i −1.45503 0.218342i
\(43\) 0.816884 2.08139i 0.124574 0.317408i −0.854958 0.518696i \(-0.826417\pi\)
0.979532 + 0.201288i \(0.0645127\pi\)
\(44\) −0.0744631 + 0.494030i −0.0112257 + 0.0744779i
\(45\) 2.74010 + 3.45411i 0.408470 + 0.514908i
\(46\) −0.474872 1.20995i −0.0700161 0.178398i
\(47\) 7.30126 + 6.77458i 1.06500 + 0.988175i 0.999953 0.00970774i \(-0.00309012\pi\)
0.0650460 + 0.997882i \(0.479281\pi\)
\(48\) 3.81308 4.09897i 0.550371 0.591636i
\(49\) −6.92580 1.01652i −0.989400 0.145217i
\(50\) 5.11787 + 2.95481i 0.723777 + 0.417873i
\(51\) 3.01143 + 4.42915i 0.421685 + 0.620205i
\(52\) 2.08298 + 1.66112i 0.288858 + 0.230356i
\(53\) 7.89847 + 11.5849i 1.08494 + 1.59131i 0.765183 + 0.643813i \(0.222649\pi\)
0.319756 + 0.947500i \(0.396399\pi\)
\(54\) −10.3193 3.22660i −1.40428 0.439084i
\(55\) 0.246423 0.196516i 0.0332276 0.0264982i
\(56\) −1.23157 + 1.33247i −0.164575 + 0.178059i
\(57\) −1.84951 + 4.69478i −0.244974 + 0.621839i
\(58\) 1.01784 + 4.45946i 0.133649 + 0.585556i
\(59\) −4.49763 + 11.4598i −0.585542 + 1.49194i 0.264058 + 0.964507i \(0.414939\pi\)
−0.849599 + 0.527429i \(0.823156\pi\)
\(60\) 5.91400 0.435569i 0.763494 0.0562318i
\(61\) −5.45990 0.409163i −0.699069 0.0523880i −0.279546 0.960132i \(-0.590184\pi\)
−0.419524 + 0.907744i \(0.637803\pi\)
\(62\) 0.832080 3.64558i 0.105674 0.462989i
\(63\) −7.58315 2.34433i −0.955387 0.295357i
\(64\) −2.31058 10.1233i −0.288823 1.26541i
\(65\) −0.250506 1.66200i −0.0310715 0.206146i
\(66\) −0.228770 + 0.738291i −0.0281596 + 0.0908774i
\(67\) −5.90314 10.2245i −0.721184 1.24913i −0.960526 0.278191i \(-0.910265\pi\)
0.239342 0.970935i \(-0.423068\pi\)
\(68\) 7.20368 0.873575
\(69\) −0.239409 1.05515i −0.0288214 0.127025i
\(70\) 8.06693 0.620220i 0.964182 0.0741305i
\(71\) 3.12472 6.48855i 0.370836 0.770049i −0.629138 0.777294i \(-0.716592\pi\)
0.999974 + 0.00724474i \(0.00230609\pi\)
\(72\) −1.61182 + 1.27864i −0.189955 + 0.150689i
\(73\) −2.76559 + 8.96582i −0.323688 + 1.04937i 0.636796 + 0.771032i \(0.280259\pi\)
−0.960484 + 0.278337i \(0.910217\pi\)
\(74\) −0.206619 + 0.0471594i −0.0240189 + 0.00548217i
\(75\) 3.84206 + 3.07201i 0.443643 + 0.354725i
\(76\) 3.82312 + 5.60748i 0.438542 + 0.643222i
\(77\) −0.166200 + 0.542529i −0.0189402 + 0.0618269i
\(78\) 2.79960 + 3.02502i 0.316992 + 0.342516i
\(79\) 5.16065 8.93850i 0.580618 1.00566i −0.414788 0.909918i \(-0.636144\pi\)
0.995406 0.0957418i \(-0.0305223\pi\)
\(80\) −2.37510 + 4.11380i −0.265545 + 0.459937i
\(81\) −8.08859 3.94648i −0.898732 0.438498i
\(82\) 0.196857 + 0.0772608i 0.0217392 + 0.00853203i
\(83\) 0.623456 0.578483i 0.0684332 0.0634967i −0.645215 0.764001i \(-0.723232\pi\)
0.713648 + 0.700505i \(0.247042\pi\)
\(84\) −8.34212 + 6.66152i −0.910200 + 0.726831i
\(85\) −3.33139 3.09108i −0.361340 0.335274i
\(86\) −2.01864 4.19175i −0.217675 0.452008i
\(87\) 0.279672 + 3.79728i 0.0299840 + 0.407111i
\(88\) 0.0917020 + 0.114991i 0.00977547 + 0.0122580i
\(89\) 10.4703 9.71502i 1.10985 1.02979i 0.110495 0.993877i \(-0.464756\pi\)
0.999355 0.0359133i \(-0.0114340\pi\)
\(90\) 9.14659 + 0.709029i 0.964135 + 0.0747383i
\(91\) 2.06236 + 2.21410i 0.216194 + 0.232100i
\(92\) −1.35464 0.531658i −0.141231 0.0554292i
\(93\) 1.14090 2.89603i 0.118305 0.300305i
\(94\) 20.6667 1.54875i 2.13161 0.159742i
\(95\) 0.638128 4.23370i 0.0654706 0.434369i
\(96\) −1.03012 13.9866i −0.105136 1.42750i
\(97\) 0.374895 0.216446i 0.0380648 0.0219767i −0.480847 0.876805i \(-0.659671\pi\)
0.518912 + 0.854828i \(0.326337\pi\)
\(98\) −11.3525 + 9.12533i −1.14677 + 0.921797i
\(99\) −0.280641 + 0.578956i −0.0282055 + 0.0581872i
\(100\) 6.32235 1.95019i 0.632235 0.195019i
\(101\) −6.23678 + 7.82067i −0.620583 + 0.778186i −0.988426 0.151701i \(-0.951525\pi\)
0.367844 + 0.929888i \(0.380096\pi\)
\(102\) 11.0178 + 1.67512i 1.09093 + 0.165862i
\(103\) −9.41902 7.51141i −0.928083 0.740122i 0.0377497 0.999287i \(-0.487981\pi\)
−0.965833 + 0.259166i \(0.916552\pi\)
\(104\) 0.775555 0.116896i 0.0760494 0.0114626i
\(105\) 6.71630 + 0.498917i 0.655444 + 0.0486893i
\(106\) 28.8492 + 4.34831i 2.80208 + 0.422345i
\(107\) −6.16654 6.64595i −0.596142 0.642488i 0.360843 0.932627i \(-0.382489\pi\)
−0.956985 + 0.290139i \(0.906299\pi\)
\(108\) −10.5064 + 6.01209i −1.01097 + 0.578514i
\(109\) −6.10597 5.66551i −0.584845 0.542657i 0.331288 0.943530i \(-0.392517\pi\)
−0.916134 + 0.400872i \(0.868707\pi\)
\(110\) 0.0490102 0.653996i 0.00467294 0.0623561i
\(111\) −0.175938 + 0.0129579i −0.0166993 + 0.00122991i
\(112\) −0.655547 8.52641i −0.0619433 0.805670i
\(113\) −1.13145 + 3.66806i −0.106437 + 0.345062i −0.993087 0.117380i \(-0.962550\pi\)
0.886650 + 0.462442i \(0.153027\pi\)
\(114\) 4.54341 + 9.46552i 0.425530 + 0.886527i
\(115\) 0.398331 + 0.827142i 0.0371445 + 0.0771314i
\(116\) 4.43503 + 2.56057i 0.411782 + 0.237743i
\(117\) 1.92545 + 2.83973i 0.178008 + 0.262533i
\(118\) 11.1143 + 23.0791i 1.02315 + 2.12460i
\(119\) 8.09230 + 1.20372i 0.741820 + 0.110345i
\(120\) 1.09019 1.36346i 0.0995198 0.124466i
\(121\) −9.86922 4.75276i −0.897202 0.432070i
\(122\) −8.35140 + 7.74897i −0.756100 + 0.701558i
\(123\) 0.152337 + 0.0882126i 0.0137358 + 0.00795386i
\(124\) −2.35834 3.45904i −0.211785 0.310631i
\(125\) −10.3812 4.99932i −0.928523 0.447153i
\(126\) −14.3081 + 8.24877i −1.27467 + 0.734859i
\(127\) 14.3131 6.89282i 1.27008 0.611638i 0.327258 0.944935i \(-0.393875\pi\)
0.942822 + 0.333297i \(0.108161\pi\)
\(128\) −4.68684 2.70595i −0.414262 0.239174i
\(129\) −1.13678 3.70218i −0.100088 0.325959i
\(130\) −2.88960 1.97010i −0.253435 0.172789i
\(131\) −1.86698 2.34112i −0.163119 0.204544i 0.693554 0.720404i \(-0.256044\pi\)
−0.856673 + 0.515860i \(0.827472\pi\)
\(132\) 0.431714 + 0.749970i 0.0375759 + 0.0652765i
\(133\) 3.35772 + 6.93803i 0.291151 + 0.601604i
\(134\) −23.9502 5.46648i −2.06898 0.472232i
\(135\) 7.43850 + 1.72791i 0.640204 + 0.148715i
\(136\) 1.44242 1.55456i 0.123686 0.133302i
\(137\) −12.9032 + 10.2899i −1.10239 + 0.879129i −0.993376 0.114911i \(-0.963342\pi\)
−0.109017 + 0.994040i \(0.534770\pi\)
\(138\) −1.94826 1.12816i −0.165847 0.0960356i
\(139\) −13.6402 + 5.35338i −1.15695 + 0.454067i −0.864706 0.502278i \(-0.832495\pi\)
−0.292239 + 0.956345i \(0.594400\pi\)
\(140\) 5.63402 7.09293i 0.476162 0.599462i
\(141\) 17.2015 + 1.31125i 1.44863 + 0.110427i
\(142\) −5.47469 13.9493i −0.459426 1.17060i
\(143\) 0.202652 0.138166i 0.0169466 0.0115540i
\(144\) 0.749415 9.66757i 0.0624512 0.805631i
\(145\) −0.952277 3.08721i −0.0790823 0.256379i
\(146\) 9.76156 + 16.9075i 0.807873 + 1.39928i
\(147\) −10.4843 + 6.08930i −0.864730 + 0.502237i
\(148\) −0.118638 + 0.205487i −0.00975197 + 0.0168909i
\(149\) −12.3470 2.81813i −1.01151 0.230870i −0.315517 0.948920i \(-0.602178\pi\)
−0.695992 + 0.718050i \(0.745035\pi\)
\(150\) 10.1234 1.51258i 0.826570 0.123502i
\(151\) 7.27259 + 3.50229i 0.591835 + 0.285013i 0.705731 0.708480i \(-0.250619\pi\)
−0.113896 + 0.993493i \(0.536333\pi\)
\(152\) 1.97561 + 0.297776i 0.160244 + 0.0241528i
\(153\) 8.85758 + 2.75709i 0.716093 + 0.222898i
\(154\) 0.592305 + 1.02134i 0.0477293 + 0.0823017i
\(155\) −0.393637 + 2.61161i −0.0316177 + 0.209770i
\(156\) 4.61459 + 0.00591563i 0.369463 + 0.000473629i
\(157\) −2.49536 0.979357i −0.199151 0.0781612i 0.263669 0.964613i \(-0.415067\pi\)
−0.462820 + 0.886452i \(0.653163\pi\)
\(158\) −6.33022 20.5221i −0.503605 1.63265i
\(159\) 23.1975 + 7.18805i 1.83968 + 0.570049i
\(160\) 3.50754 + 11.3712i 0.277296 + 0.898970i
\(161\) −1.43291 0.823599i −0.112929 0.0649087i
\(162\) −17.4672 + 6.75223i −1.37236 + 0.530505i
\(163\) 2.69131 6.85735i 0.210800 0.537109i −0.785894 0.618362i \(-0.787797\pi\)
0.996694 + 0.0812525i \(0.0258920\pi\)
\(164\) 0.213318 0.102728i 0.0166573 0.00802173i
\(165\) 0.122161 0.532076i 0.00951019 0.0414220i
\(166\) 1.76968i 0.137354i
\(167\) −0.648306 + 8.65105i −0.0501674 + 0.669438i 0.914266 + 0.405114i \(0.132768\pi\)
−0.964434 + 0.264324i \(0.914851\pi\)
\(168\) −0.232815 + 3.13409i −0.0179620 + 0.241801i
\(169\) 0.873749 + 11.6594i 0.0672115 + 0.896875i
\(170\) −9.42970 + 0.706658i −0.723225 + 0.0541982i
\(171\) 2.55470 + 8.35814i 0.195362 + 0.639163i
\(172\) −4.97743 1.53533i −0.379525 0.117068i
\(173\) 3.38474 2.30768i 0.257337 0.175449i −0.427779 0.903883i \(-0.640704\pi\)
0.685116 + 0.728434i \(0.259751\pi\)
\(174\) 6.18784 + 4.94763i 0.469099 + 0.375079i
\(175\) 7.42812 1.13430i 0.561513 0.0857452i
\(176\) −0.691247 0.0518018i −0.0521047 0.00390471i
\(177\) 6.25890 + 20.3836i 0.470448 + 1.53213i
\(178\) 29.7199i 2.22760i
\(179\) 3.94954 + 0.295977i 0.295203 + 0.0221224i 0.221508 0.975158i \(-0.428902\pi\)
0.0736944 + 0.997281i \(0.476521\pi\)
\(180\) 7.54713 6.96679i 0.562530 0.519274i
\(181\) 15.4784 3.53285i 1.15050 0.262594i 0.395594 0.918426i \(-0.370539\pi\)
0.754908 + 0.655831i \(0.227682\pi\)
\(182\) 6.29600 0.0121733i 0.466691 0.000902345i
\(183\) −7.84235 + 5.33211i −0.579723 + 0.394161i
\(184\) −0.385977 + 0.185877i −0.0284546 + 0.0137030i
\(185\) 0.143039 0.0441216i 0.0105164 0.00324388i
\(186\) −2.80266 5.83892i −0.205501 0.428130i
\(187\) 0.195474 0.633711i 0.0142945 0.0463415i
\(188\) 14.4668 18.1408i 1.05510 1.32305i
\(189\) −12.8070 + 4.99813i −0.931571 + 0.363560i
\(190\) −5.55458 6.96522i −0.402972 0.505310i
\(191\) 4.38430 1.72071i 0.317237 0.124506i −0.201380 0.979513i \(-0.564542\pi\)
0.518617 + 0.855007i \(0.326447\pi\)
\(192\) −14.0469 11.2315i −1.01375 0.810563i
\(193\) −7.90304 1.19119i −0.568873 0.0857439i −0.141694 0.989911i \(-0.545255\pi\)
−0.427180 + 0.904167i \(0.640493\pi\)
\(194\) 0.200435 0.878163i 0.0143904 0.0630484i
\(195\) −2.13151 1.98284i −0.152640 0.141994i
\(196\) −1.15574 + 16.2661i −0.0825529 + 1.16187i
\(197\) 27.0629i 1.92815i −0.265623 0.964077i \(-0.585578\pi\)
0.265623 0.964077i \(-0.414422\pi\)
\(198\) 0.485901 + 1.24745i 0.0345314 + 0.0886524i
\(199\) −17.0149 + 6.67786i −1.20616 + 0.473381i −0.881379 0.472410i \(-0.843384\pi\)
−0.324776 + 0.945791i \(0.605289\pi\)
\(200\) 0.845096 1.75486i 0.0597573 0.124087i
\(201\) −19.0259 7.49529i −1.34199 0.528677i
\(202\) 3.10216 + 20.5815i 0.218267 + 1.44811i
\(203\) 4.55425 + 3.61751i 0.319646 + 0.253899i
\(204\) 9.76499 7.76686i 0.683686 0.543789i
\(205\) −0.142730 0.0440265i −0.00996873 0.00307494i
\(206\) −24.7878 + 3.73616i −1.72705 + 0.260310i
\(207\) −1.46217 1.17219i −0.101628 0.0814728i
\(208\) −2.08231 + 3.05419i −0.144382 + 0.211770i
\(209\) 0.597034 0.184160i 0.0412977 0.0127386i
\(210\) 10.2665 9.53834i 0.708453 0.658208i
\(211\) 3.15751 + 0.973964i 0.217372 + 0.0670504i 0.401528 0.915847i \(-0.368479\pi\)
−0.184156 + 0.982897i \(0.558955\pi\)
\(212\) 25.5376 20.3656i 1.75393 1.39871i
\(213\) −2.76009 12.1646i −0.189118 0.833504i
\(214\) −18.8645 −1.28955
\(215\) 1.64304 + 2.84582i 0.112054 + 0.194084i
\(216\) −0.806313 + 3.47110i −0.0548627 + 0.236178i
\(217\) −2.07125 4.27981i −0.140606 0.290532i
\(218\) −17.2833 + 1.29521i −1.17057 + 0.0877224i
\(219\) 5.91785 + 15.1355i 0.399891 + 1.02276i
\(220\) −0.499421 0.538247i −0.0336709 0.0362886i
\(221\) −2.40540 2.59241i −0.161805 0.174384i
\(222\) −0.229237 + 0.286699i −0.0153854 + 0.0192420i
\(223\) −14.7406 + 1.10466i −0.987106 + 0.0739734i −0.558488 0.829513i \(-0.688618\pi\)
−0.428618 + 0.903486i \(0.640999\pi\)
\(224\) −16.7748 13.3244i −1.12081 0.890277i
\(225\) 8.52031 + 0.0218451i 0.568021 + 0.00145634i
\(226\) 3.99361 + 6.91714i 0.265651 + 0.460121i
\(227\) −13.0318 −0.864950 −0.432475 0.901646i \(-0.642360\pi\)
−0.432475 + 0.901646i \(0.642360\pi\)
\(228\) 11.2283 + 3.47925i 0.743613 + 0.230419i
\(229\) 0.622929 0.496769i 0.0411643 0.0328274i −0.602692 0.797974i \(-0.705905\pi\)
0.643856 + 0.765147i \(0.277334\pi\)
\(230\) 1.82540 + 0.563061i 0.120363 + 0.0371271i
\(231\) 0.359650 + 0.914621i 0.0236633 + 0.0601777i
\(232\) 1.44061 0.444371i 0.0945809 0.0291744i
\(233\) −12.6141 + 18.5014i −0.826374 + 1.21207i 0.148411 + 0.988926i \(0.452584\pi\)
−0.974786 + 0.223143i \(0.928368\pi\)
\(234\) 7.05652 + 1.08211i 0.461299 + 0.0707397i
\(235\) −14.4744 + 2.18167i −0.944207 + 0.142316i
\(236\) 27.4049 + 8.45330i 1.78391 + 0.550263i
\(237\) −2.64177 17.6807i −0.171601 1.14849i
\(238\) 13.2889 10.6397i 0.861393 0.689667i
\(239\) 0.183872 + 1.21991i 0.0118937 + 0.0789096i 0.993990 0.109469i \(-0.0349150\pi\)
−0.982097 + 0.188378i \(0.939677\pi\)
\(240\) 1.21583 + 8.13727i 0.0784815 + 0.525259i
\(241\) 12.1746 25.2808i 0.784236 1.62848i 0.00642866 0.999979i \(-0.497954\pi\)
0.777807 0.628503i \(-0.216332\pi\)
\(242\) −21.2172 + 8.32712i −1.36389 + 0.535288i
\(243\) −15.2195 + 3.37128i −0.976334 + 0.216267i
\(244\) 12.7550i 0.816556i
\(245\) 7.51422 7.02645i 0.480066 0.448903i
\(246\) 0.350152 0.107516i 0.0223249 0.00685498i
\(247\) 0.741390 3.24824i 0.0471735 0.206681i
\(248\) −1.21868 0.183687i −0.0773864 0.0116641i
\(249\) 0.221421 1.45636i 0.0140320 0.0922932i
\(250\) −22.3178 + 8.75910i −1.41150 + 0.553974i
\(251\) −11.9035 14.9266i −0.751345 0.942157i 0.248303 0.968682i \(-0.420127\pi\)
−0.999648 + 0.0265256i \(0.991556\pi\)
\(252\) −4.12590 + 18.0244i −0.259907 + 1.13543i
\(253\) −0.0835288 + 0.104742i −0.00525141 + 0.00658506i
\(254\) 9.74334 31.5871i 0.611352 1.98195i
\(255\) −7.84862 0.598291i −0.491499 0.0374665i
\(256\) 9.08407 2.80206i 0.567754 0.175129i
\(257\) 7.49858 3.61112i 0.467748 0.225256i −0.185137 0.982713i \(-0.559273\pi\)
0.652885 + 0.757457i \(0.273558\pi\)
\(258\) −7.25583 3.50569i −0.451728 0.218255i
\(259\) −0.167609 + 0.211011i −0.0104147 + 0.0131116i
\(260\) −3.81734 + 0.871283i −0.236741 + 0.0540347i
\(261\) 4.47326 + 4.84588i 0.276888 + 0.299953i
\(262\) −6.21323 0.465617i −0.383854 0.0287659i
\(263\) 27.5449i 1.69849i 0.527999 + 0.849245i \(0.322942\pi\)
−0.527999 + 0.849245i \(0.677058\pi\)
\(264\) 0.248288 + 0.0570050i 0.0152811 + 0.00350842i
\(265\) −20.5488 1.53992i −1.26231 0.0945967i
\(266\) 15.3348 + 4.69770i 0.940235 + 0.288034i
\(267\) 3.71854 24.4581i 0.227571 1.49681i
\(268\) −22.7247 + 15.4934i −1.38813 + 0.946413i
\(269\) 26.9845 + 8.32362i 1.64527 + 0.507500i 0.972609 0.232447i \(-0.0746732\pi\)
0.672665 + 0.739947i \(0.265149\pi\)
\(270\) 13.1632 8.90054i 0.801085 0.541669i
\(271\) 21.1748 1.58683i 1.28628 0.0963933i 0.586029 0.810290i \(-0.300691\pi\)
0.700251 + 0.713897i \(0.253072\pi\)
\(272\) 0.746909 + 9.96680i 0.0452880 + 0.604326i
\(273\) 5.18284 + 0.777733i 0.313679 + 0.0470706i
\(274\) −2.56627 + 34.2445i −0.155034 + 2.06879i
\(275\) 0.609099i 0.0367300i
\(276\) −2.40952 + 0.739856i −0.145036 + 0.0445341i
\(277\) −26.8723 + 12.9410i −1.61460 + 0.777549i −0.999937 0.0112422i \(-0.996421\pi\)
−0.614661 + 0.788791i \(0.710707\pi\)
\(278\) −11.1391 + 28.3820i −0.668080 + 1.70224i
\(279\) −1.57589 5.15582i −0.0943464 0.308671i
\(280\) −0.402537 2.63607i −0.0240562 0.157535i
\(281\) −6.29970 20.4231i −0.375809 1.21834i −0.924131 0.382075i \(-0.875210\pi\)
0.548323 0.836267i \(-0.315267\pi\)
\(282\) 26.3450 24.3818i 1.56882 1.45192i
\(283\) −2.62873 8.52213i −0.156262 0.506588i 0.843260 0.537505i \(-0.180633\pi\)
−0.999522 + 0.0309176i \(0.990157\pi\)
\(284\) −15.6174 6.12937i −0.926721 0.363711i
\(285\) −3.69967 6.42704i −0.219150 0.380705i
\(286\) 0.0760638 0.504650i 0.00449775 0.0298406i
\(287\) 0.256797 0.0797555i 0.0151583 0.00470782i
\(288\) −16.4764 17.8489i −0.970883 1.05176i
\(289\) 7.35490 + 1.10857i 0.432641 + 0.0652101i
\(290\) −6.05669 2.91675i −0.355661 0.171277i
\(291\) 0.274824 0.697608i 0.0161104 0.0408945i
\(292\) 21.3097 + 4.86381i 1.24706 + 0.284633i
\(293\) 13.5332 23.4401i 0.790616 1.36939i −0.134970 0.990850i \(-0.543094\pi\)
0.925586 0.378538i \(-0.123573\pi\)
\(294\) −5.55015 + 24.6099i −0.323691 + 1.43528i
\(295\) −9.04630 15.6686i −0.526696 0.912264i
\(296\) 0.0205889 + 0.0667475i 0.00119670 + 0.00387962i
\(297\) 0.243793 + 1.08739i 0.0141463 + 0.0630966i
\(298\) −21.7730 + 14.8446i −1.26128 + 0.859925i
\(299\) 0.261004 + 0.665026i 0.0150942 + 0.0384595i
\(300\) 6.46765 9.46022i 0.373410 0.546186i
\(301\) −5.33487 2.55644i −0.307497 0.147351i
\(302\) 15.6348 6.13622i 0.899684 0.353100i
\(303\) −0.0222106 + 17.3257i −0.00127596 + 0.995337i
\(304\) −7.36195 + 5.87096i −0.422237 + 0.336723i
\(305\) 5.47313 5.89863i 0.313391 0.337755i
\(306\) 16.7414 9.60849i 0.957041 0.549281i
\(307\) 1.30936 + 0.298854i 0.0747293 + 0.0170565i 0.259722 0.965683i \(-0.416369\pi\)
−0.184993 + 0.982740i \(0.559226\pi\)
\(308\) 1.28927 + 0.291646i 0.0734630 + 0.0166181i
\(309\) −20.8666 0.0267498i −1.18706 0.00152174i
\(310\) 3.42641 + 4.29658i 0.194607 + 0.244029i
\(311\) 25.8333 + 17.6128i 1.46487 + 0.998731i 0.993133 + 0.116992i \(0.0373252\pi\)
0.471737 + 0.881739i \(0.343627\pi\)
\(312\) 0.925273 0.994646i 0.0523832 0.0563108i
\(313\) −20.1410 11.6284i −1.13844 0.657276i −0.192393 0.981318i \(-0.561625\pi\)
−0.946043 + 0.324042i \(0.894958\pi\)
\(314\) −5.02546 + 2.42013i −0.283603 + 0.136576i
\(315\) 9.64224 6.56507i 0.543279 0.369900i
\(316\) −21.6632 10.4325i −1.21865 0.586872i
\(317\) 1.41518 + 2.07568i 0.0794842 + 0.116582i 0.863922 0.503625i \(-0.168001\pi\)
−0.784438 + 0.620207i \(0.787048\pi\)
\(318\) 43.7949 25.2102i 2.45590 1.41372i
\(319\) 0.345600 0.320670i 0.0193499 0.0179541i
\(320\) 13.7491 + 6.62124i 0.768601 + 0.370139i
\(321\) −15.5246 2.36032i −0.866499 0.131740i
\(322\) −3.28421 + 1.02000i −0.183022 + 0.0568426i
\(323\) −3.90869 8.11648i −0.217485 0.451613i
\(324\) −7.75983 + 19.4775i −0.431102 + 1.08208i
\(325\) −2.81293 1.62405i −0.156033 0.0900859i
\(326\) −6.65062 13.8102i −0.368344 0.764874i
\(327\) −14.3854 1.09658i −0.795515 0.0606412i
\(328\) 0.0205445 0.0666037i 0.00113438 0.00367757i
\(329\) 19.2826 17.9612i 1.06309 0.990232i
\(330\) −0.638689 0.939369i −0.0351587 0.0517106i
\(331\) −0.455969 + 6.08449i −0.0250623 + 0.334434i 0.970553 + 0.240889i \(0.0774389\pi\)
−0.995615 + 0.0935449i \(0.970180\pi\)
\(332\) −1.45240 1.34763i −0.0797106 0.0739607i
\(333\) −0.224523 + 0.207258i −0.0123038 + 0.0113577i
\(334\) 12.2780 + 13.2325i 0.671822 + 0.724052i
\(335\) 17.1574 + 2.58606i 0.937407 + 0.141291i
\(336\) −10.0816 10.8512i −0.549998 0.591983i
\(337\) 24.2505 3.65517i 1.32101 0.199110i 0.549588 0.835436i \(-0.314785\pi\)
0.771420 + 0.636326i \(0.219547\pi\)
\(338\) 19.0208 + 15.1685i 1.03459 + 0.825060i
\(339\) 2.42109 + 6.19216i 0.131495 + 0.336312i
\(340\) −6.60084 + 8.27720i −0.357981 + 0.448894i
\(341\) −0.368287 + 0.113602i −0.0199439 + 0.00615187i
\(342\) 16.3644 + 7.93242i 0.884884 + 0.428936i
\(343\) −4.01634 + 18.0795i −0.216862 + 0.976202i
\(344\) −1.32798 + 0.766707i −0.0715996 + 0.0413381i
\(345\) 1.43177 + 0.691765i 0.0770837 + 0.0372434i
\(346\) 1.27044 8.42879i 0.0682990 0.453134i
\(347\) 7.61891 0.570959i 0.409005 0.0306507i 0.131361 0.991335i \(-0.458065\pi\)
0.277644 + 0.960684i \(0.410446\pi\)
\(348\) 8.77268 1.31077i 0.470265 0.0702646i
\(349\) 4.08592 + 1.60361i 0.218714 + 0.0858391i 0.472168 0.881508i \(-0.343471\pi\)
−0.253454 + 0.967347i \(0.581567\pi\)
\(350\) 8.78272 12.9355i 0.469456 0.691434i
\(351\) 5.67179 + 1.77343i 0.302738 + 0.0946588i
\(352\) −1.27295 + 1.18113i −0.0678487 + 0.0629544i
\(353\) −14.0657 17.6378i −0.748641 0.938766i 0.250932 0.968005i \(-0.419263\pi\)
−0.999572 + 0.0292388i \(0.990692\pi\)
\(354\) 39.9494 + 19.3018i 2.12329 + 1.02588i
\(355\) 4.59226 + 9.53593i 0.243732 + 0.506115i
\(356\) −24.3915 22.6320i −1.29275 1.19949i
\(357\) 12.2674 7.09324i 0.649259 0.375414i
\(358\) 6.04117 5.60538i 0.319286 0.296254i
\(359\) 19.9623 + 7.83462i 1.05357 + 0.413496i 0.827998 0.560731i \(-0.189480\pi\)
0.225571 + 0.974227i \(0.427575\pi\)
\(360\) 0.00775232 3.02366i 0.000408583 0.159361i
\(361\) −5.25639 + 9.10433i −0.276652 + 0.479175i
\(362\) 16.5176 28.6094i 0.868147 1.50367i
\(363\) −18.5026 + 4.19815i −0.971135 + 0.220346i
\(364\) 4.78447 5.17647i 0.250775 0.271321i
\(365\) −7.76778 11.3932i −0.406584 0.596349i
\(366\) −2.96601 + 19.5085i −0.155036 + 1.01972i
\(367\) 25.2169 5.75560i 1.31631 0.300440i 0.493993 0.869466i \(-0.335537\pi\)
0.822320 + 0.569026i \(0.192680\pi\)
\(368\) 0.595132 1.92937i 0.0310234 0.100575i
\(369\) 0.301611 0.0446700i 0.0157012 0.00232542i
\(370\) 0.135141 0.280623i 0.00702563 0.0145889i
\(371\) 32.0909 18.6105i 1.66608 0.966209i
\(372\) −6.92632 2.14622i −0.359113 0.111276i
\(373\) 4.84125 0.250670 0.125335 0.992114i \(-0.459999\pi\)
0.125335 + 0.992114i \(0.459999\pi\)
\(374\) −0.689955 1.19504i −0.0356767 0.0617939i
\(375\) −19.4625 + 4.41594i −1.00504 + 0.228038i
\(376\) −1.01805 6.75434i −0.0525021 0.348328i
\(377\) −0.559436 2.45105i −0.0288124 0.126235i
\(378\) −10.5018 + 26.6084i −0.540153 + 1.36859i
\(379\) −2.18730 + 9.58318i −0.112354 + 0.492255i 0.887171 + 0.461441i \(0.152667\pi\)
−0.999525 + 0.0308144i \(0.990190\pi\)
\(380\) −9.94631 0.745373i −0.510235 0.0382368i
\(381\) 11.9705 24.7757i 0.613266 1.26930i
\(382\) 3.58040 9.12271i 0.183189 0.466758i
\(383\) 0.357439 + 1.56604i 0.0182643 + 0.0800209i 0.983239 0.182323i \(-0.0583617\pi\)
−0.964974 + 0.262344i \(0.915505\pi\)
\(384\) −9.27077 + 1.38519i −0.473097 + 0.0706878i
\(385\) −0.471087 0.688095i −0.0240088 0.0350686i
\(386\) −13.0020 + 10.3687i −0.661782 + 0.527754i
\(387\) −5.53258 3.79286i −0.281237 0.192802i
\(388\) −0.568086 0.833228i −0.0288402 0.0423008i
\(389\) −1.57217 1.25377i −0.0797124 0.0635685i 0.582823 0.812599i \(-0.301948\pi\)
−0.662535 + 0.749031i \(0.730520\pi\)
\(390\) −6.04113 + 0.444933i −0.305904 + 0.0225301i
\(391\) 1.67286 + 0.965828i 0.0846003 + 0.0488440i
\(392\) 3.27882 + 3.50644i 0.165605 + 0.177102i
\(393\) −5.05493 1.16058i −0.254988 0.0585433i
\(394\) −41.2794 38.3016i −2.07962 1.92961i
\(395\) 5.54176 + 14.1202i 0.278836 + 0.710464i
\(396\) 1.39381 + 0.551160i 0.0700418 + 0.0276968i
\(397\) 3.41418 22.6516i 0.171353 1.13685i −0.723445 0.690382i \(-0.757443\pi\)
0.894798 0.446471i \(-0.147319\pi\)
\(398\) −13.8951 + 35.4041i −0.696497 + 1.77465i
\(399\) 12.0320 + 5.78466i 0.602354 + 0.289595i
\(400\) 3.35375 + 8.54522i 0.167688 + 0.427261i
\(401\) 14.0242 3.20093i 0.700335 0.159847i 0.142495 0.989795i \(-0.454487\pi\)
0.557840 + 0.829949i \(0.311630\pi\)
\(402\) −38.3597 + 18.4125i −1.91321 + 0.918332i
\(403\) −0.457336 + 2.00372i −0.0227815 + 0.0998123i
\(404\) 19.2538 + 13.1270i 0.957912 + 0.653093i
\(405\) 11.9463 5.67775i 0.593616 0.282130i
\(406\) 11.9634 1.82685i 0.593732 0.0906651i
\(407\) 0.0148575 + 0.0160126i 0.000736458 + 0.000793713i
\(408\) 0.279187 3.66248i 0.0138218 0.181320i
\(409\) −19.9383 + 29.2441i −0.985885 + 1.44603i −0.0930403 + 0.995662i \(0.529659\pi\)
−0.892844 + 0.450365i \(0.851294\pi\)
\(410\) −0.269158 + 0.155398i −0.0132928 + 0.00767457i
\(411\) −6.39657 + 27.8605i −0.315519 + 1.37426i
\(412\) −15.8098 + 23.1888i −0.778894 + 1.14243i
\(413\) 29.3729 + 14.0754i 1.44535 + 0.692603i
\(414\) −3.85734 + 0.571290i −0.189578 + 0.0280774i
\(415\) 0.0934076 + 1.24644i 0.00458520 + 0.0611852i
\(416\) 2.06058 + 9.02800i 0.101028 + 0.442634i
\(417\) −12.7181 + 21.9634i −0.622809 + 1.07555i
\(418\) 0.564068 1.17130i 0.0275895 0.0572902i
\(419\) −10.5166 + 7.17006i −0.513767 + 0.350280i −0.792286 0.610150i \(-0.791109\pi\)
0.278519 + 0.960431i \(0.410157\pi\)
\(420\) −0.0102225 15.6893i −0.000498805 0.765561i
\(421\) 30.3694 + 20.7055i 1.48012 + 1.00913i 0.990549 + 0.137161i \(0.0437977\pi\)
0.489567 + 0.871965i \(0.337155\pi\)
\(422\) 5.95436 3.43775i 0.289854 0.167347i
\(423\) 24.7313 16.7688i 1.20248 0.815327i
\(424\) 0.718590 9.58891i 0.0348978 0.465679i
\(425\) −8.68425 + 1.30894i −0.421248 + 0.0634929i
\(426\) −22.4611 13.0063i −1.08824 0.630159i
\(427\) −2.13133 + 14.3284i −0.103143 + 0.693400i
\(428\) −14.3655 + 15.4823i −0.694383 + 0.748367i
\(429\) 0.125738 0.405787i 0.00607071 0.0195916i
\(430\) 6.66612 + 1.52150i 0.321469 + 0.0733732i
\(431\) 1.43443 + 9.51683i 0.0690941 + 0.458410i 0.996447 + 0.0842217i \(0.0268404\pi\)
−0.927353 + 0.374188i \(0.877922\pi\)
\(432\) −9.40750 13.9129i −0.452618 0.669386i
\(433\) −22.9545 18.3056i −1.10312 0.879712i −0.109673 0.993968i \(-0.534980\pi\)
−0.993451 + 0.114255i \(0.963552\pi\)
\(434\) −9.45943 2.89783i −0.454067 0.139100i
\(435\) −4.61943 3.15815i −0.221485 0.151422i
\(436\) −12.0984 + 15.1709i −0.579409 + 0.726556i
\(437\) 0.135998 + 1.81477i 0.00650568 + 0.0868122i
\(438\) 31.4617 + 12.3944i 1.50330 + 0.592226i
\(439\) 22.2205 23.9480i 1.06052 1.14297i 0.0711673 0.997464i \(-0.477328\pi\)
0.989357 0.145509i \(-0.0464819\pi\)
\(440\) −0.216155 −0.0103048
\(441\) −7.64668 + 19.5583i −0.364128 + 0.931349i
\(442\) −7.35854 −0.350010
\(443\) −25.2779 + 27.2431i −1.20099 + 1.29436i −0.256225 + 0.966617i \(0.582479\pi\)
−0.944767 + 0.327744i \(0.893712\pi\)
\(444\) 0.0607314 + 0.406462i 0.00288219 + 0.0192898i
\(445\) 1.56868 + 20.9326i 0.0743628 + 0.992302i
\(446\) −19.1772 + 24.0474i −0.908066 + 1.13868i
\(447\) −19.7755 + 9.49219i −0.935351 + 0.448965i
\(448\) −27.1578 + 4.14709i −1.28308 + 0.195932i
\(449\) 7.45948 + 5.94873i 0.352034 + 0.280738i 0.783501 0.621391i \(-0.213432\pi\)
−0.431466 + 0.902129i \(0.642004\pi\)
\(450\) 12.0919 12.9652i 0.570020 0.611185i
\(451\) −0.00324862 0.0215532i −0.000152972 0.00101490i
\(452\) 8.71815 + 1.98986i 0.410067 + 0.0935952i
\(453\) 13.6345 3.09360i 0.640604 0.145350i
\(454\) −18.4436 + 19.8775i −0.865603 + 0.932898i
\(455\) −4.43382 + 0.340891i −0.207861 + 0.0159812i
\(456\) 2.99911 1.72642i 0.140446 0.0808468i
\(457\) 22.2469 3.35318i 1.04067 0.156855i 0.393595 0.919284i \(-0.371231\pi\)
0.647072 + 0.762429i \(0.275993\pi\)
\(458\) 0.123892 1.65323i 0.00578911 0.0772503i
\(459\) 14.9796 5.81267i 0.699187 0.271312i
\(460\) 1.85217 1.06935i 0.0863578 0.0498587i
\(461\) −14.7852 10.0804i −0.688617 0.469491i 0.167770 0.985826i \(-0.446343\pi\)
−0.856387 + 0.516335i \(0.827296\pi\)
\(462\) 1.90409 + 0.745868i 0.0885862 + 0.0347009i
\(463\) 30.1315 20.5433i 1.40033 0.954729i 0.401079 0.916044i \(-0.368635\pi\)
0.999251 0.0386853i \(-0.0123170\pi\)
\(464\) −3.08288 + 6.40167i −0.143119 + 0.297190i
\(465\) 2.28219 + 3.96459i 0.105834 + 0.183854i
\(466\) 10.3680 + 45.4251i 0.480287 + 2.10427i
\(467\) 0.446058 + 5.95223i 0.0206411 + 0.275437i 0.997969 + 0.0637043i \(0.0202914\pi\)
−0.977328 + 0.211732i \(0.932090\pi\)
\(468\) 6.26171 4.96733i 0.289447 0.229615i
\(469\) −28.1168 + 13.6074i −1.29832 + 0.628331i
\(470\) −17.1576 + 25.1656i −0.791423 + 1.16080i
\(471\) −4.43852 + 1.36287i −0.204516 + 0.0627979i
\(472\) 7.31162 4.22136i 0.336544 0.194304i
\(473\) −0.270128 + 0.396205i −0.0124205 + 0.0182175i
\(474\) −30.7074 20.9937i −1.41044 0.964272i
\(475\) −5.62779 6.06531i −0.258221 0.278296i
\(476\) 1.38754 19.0086i 0.0635979 0.871257i
\(477\) 39.1954 15.2672i 1.79464 0.699038i
\(478\) 2.12098 + 1.44606i 0.0970112 + 0.0661411i
\(479\) −1.96080 + 8.59081i −0.0895910 + 0.392524i −0.999764 0.0217034i \(-0.993091\pi\)
0.910173 + 0.414227i \(0.135948\pi\)
\(480\) 17.0148 + 11.6325i 0.776617 + 0.530948i
\(481\) 0.113564 0.0259202i 0.00517806 0.00118186i
\(482\) −21.3306 54.3496i −0.971583 2.47555i
\(483\) −2.83037 + 0.428496i −0.128786 + 0.0194973i
\(484\) −9.32290 + 23.7544i −0.423768 + 1.07974i
\(485\) −0.0948209 + 0.629096i −0.00430560 + 0.0285658i
\(486\) −16.3977 + 27.9858i −0.743814 + 1.26946i
\(487\) −0.190787 0.486116i −0.00864536 0.0220280i 0.926486 0.376329i \(-0.122814\pi\)
−0.935131 + 0.354301i \(0.884719\pi\)
\(488\) 2.75254 + 2.55398i 0.124602 + 0.115613i
\(489\) −3.74523 12.1972i −0.169365 0.551578i
\(490\) −0.0827769 21.4059i −0.00373948 0.967021i
\(491\) 2.18384 + 1.26084i 0.0985554 + 0.0569010i 0.548468 0.836172i \(-0.315211\pi\)
−0.449912 + 0.893073i \(0.648545\pi\)
\(492\) 0.178404 0.369248i 0.00804308 0.0166470i
\(493\) −5.31465 4.23829i −0.239360 0.190883i
\(494\) −3.90530 5.72803i −0.175708 0.257716i
\(495\) −0.408077 0.852969i −0.0183417 0.0383381i
\(496\) 4.54131 3.62157i 0.203911 0.162613i
\(497\) −16.5197 9.49509i −0.741008 0.425913i
\(498\) −1.90803 2.39890i −0.0855009 0.107497i
\(499\) 6.55593 + 28.7234i 0.293484 + 1.28584i 0.879641 + 0.475638i \(0.157783\pi\)
−0.586157 + 0.810197i \(0.699360\pi\)
\(500\) −9.80654 + 24.9867i −0.438562 + 1.11744i
\(501\) 8.44856 + 12.4260i 0.377454 + 0.555151i
\(502\) −39.6145 2.96870i −1.76808 0.132499i
\(503\) −1.39042 + 6.09183i −0.0619958 + 0.271621i −0.996420 0.0845407i \(-0.973058\pi\)
0.934424 + 0.356162i \(0.115915\pi\)
\(504\) 3.06352 + 4.49945i 0.136460 + 0.200422i
\(505\) −3.27128 14.3324i −0.145570 0.637784i
\(506\) 0.0415470 + 0.275646i 0.00184699 + 0.0122540i
\(507\) 13.7553 + 14.8629i 0.610895 + 0.660083i
\(508\) −18.5043 32.0504i −0.820996 1.42201i
\(509\) −24.5721 −1.08914 −0.544569 0.838716i \(-0.683307\pi\)
−0.544569 + 0.838716i \(0.683307\pi\)
\(510\) −12.0206 + 11.1248i −0.532280 + 0.492615i
\(511\) 23.1257 + 9.02460i 1.02302 + 0.399225i
\(512\) 13.2788 27.5736i 0.586844 1.21859i
\(513\) 12.4746 + 8.57550i 0.550767 + 0.378618i
\(514\) 5.10451 16.5484i 0.225150 0.729919i
\(515\) 17.2616 3.93984i 0.760636 0.173610i
\(516\) −8.40255 + 3.28533i −0.369901 + 0.144629i
\(517\) −1.20329 1.76490i −0.0529207 0.0776204i
\(518\) 0.0846429 + 0.554295i 0.00371900 + 0.0243543i
\(519\) 2.10011 6.77754i 0.0921847 0.297501i
\(520\) −0.576337 + 0.998244i −0.0252740 + 0.0437759i
\(521\) 15.8215 27.4037i 0.693154 1.20058i −0.277645 0.960684i \(-0.589554\pi\)
0.970799 0.239894i \(-0.0771127\pi\)
\(522\) 13.7224 + 0.0351826i 0.600613 + 0.00153990i
\(523\) 25.4621 + 9.99314i 1.11338 + 0.436970i 0.849501 0.527586i \(-0.176903\pi\)
0.263879 + 0.964556i \(0.414998\pi\)
\(524\) −5.11357 + 4.74470i −0.223387 + 0.207273i
\(525\) 8.84625 9.54646i 0.386082 0.416642i
\(526\) 42.0145 + 38.9837i 1.83192 + 1.69977i
\(527\) 2.41112 + 5.00675i 0.105030 + 0.218097i
\(528\) −0.992874 + 0.675068i −0.0432093 + 0.0293785i
\(529\) 14.0970 + 17.6770i 0.612912 + 0.768567i
\(530\) −31.4313 + 29.1639i −1.36529 + 1.26680i
\(531\) 30.4615 + 20.8829i 1.32192 + 0.906240i
\(532\) 15.5330 9.00809i 0.673442 0.390550i
\(533\) −0.108198 0.0424648i −0.00468660 0.00183935i
\(534\) −32.0434 40.2870i −1.38665 1.74339i
\(535\) 13.2868 0.995711i 0.574440 0.0430483i
\(536\) −1.20676 + 8.00631i −0.0521240 + 0.345820i
\(537\) 5.67294 3.85710i 0.244805 0.166446i
\(538\) 50.8868 29.3795i 2.19388 1.26664i
\(539\) 1.39958 + 0.543057i 0.0602840 + 0.0233911i
\(540\) 2.71910 17.5810i 0.117012 0.756566i
\(541\) 39.1335 12.0711i 1.68248 0.518977i 0.701433 0.712736i \(-0.252544\pi\)
0.981049 + 0.193759i \(0.0620680\pi\)
\(542\) 27.5479 34.5440i 1.18328 1.48379i
\(543\) 17.1728 21.4775i 0.736955 0.921687i
\(544\) 19.5756 + 15.6110i 0.839295 + 0.669316i
\(545\) 12.1048 1.82450i 0.518512 0.0781532i
\(546\) 8.52145 6.80472i 0.364684 0.291215i
\(547\) −9.04733 1.36367i −0.386836 0.0583062i −0.0472548 0.998883i \(-0.515047\pi\)
−0.339581 + 0.940577i \(0.610285\pi\)
\(548\) 26.1506 + 28.1837i 1.11710 + 1.20395i
\(549\) −4.88177 + 15.6834i −0.208349 + 0.669353i
\(550\) −0.929064 0.862046i −0.0396154 0.0367577i
\(551\) 0.478591 6.38636i 0.0203887 0.272068i
\(552\) −0.322805 + 0.668119i −0.0137395 + 0.0284370i
\(553\) −22.5923 15.3392i −0.960721 0.652291i
\(554\) −18.2928 + 59.3037i −0.777185 + 2.51957i
\(555\) 0.146326 0.214030i 0.00621118 0.00908509i
\(556\) 14.8109 + 30.7552i 0.628123 + 1.30431i
\(557\) −12.4907 7.21153i −0.529249 0.305562i 0.211461 0.977386i \(-0.432178\pi\)
−0.740711 + 0.671824i \(0.765511\pi\)
\(558\) −10.0946 4.89321i −0.427337 0.207146i
\(559\) 1.10950 + 2.30391i 0.0469270 + 0.0974449i
\(560\) 10.3977 + 7.05964i 0.439384 + 0.298324i
\(561\) −0.418278 1.06979i −0.0176597 0.0451664i
\(562\) −40.0674 19.2955i −1.69014 0.813930i
\(563\) −14.2957 + 13.2645i −0.602494 + 0.559032i −0.921332 0.388777i \(-0.872898\pi\)
0.318838 + 0.947809i \(0.396707\pi\)
\(564\) 0.0515194 40.1886i 0.00216936 1.69225i
\(565\) −3.17792 4.66115i −0.133696 0.196096i
\(566\) −16.7193 8.05158i −0.702763 0.338433i
\(567\) −11.9717 + 20.5835i −0.502764 + 0.864424i
\(568\) −4.44985 + 2.14293i −0.186711 + 0.0899155i
\(569\) −18.2490 10.5361i −0.765039 0.441696i 0.0660629 0.997815i \(-0.478956\pi\)
−0.831102 + 0.556120i \(0.812290\pi\)
\(570\) −15.0393 3.45291i −0.629927 0.144627i
\(571\) 27.3498 + 18.6468i 1.14455 + 0.780344i 0.978596 0.205789i \(-0.0659762\pi\)
0.165957 + 0.986133i \(0.446929\pi\)
\(572\) −0.356249 0.446723i −0.0148955 0.0186784i
\(573\) 4.08793 7.05958i 0.170776 0.294918i
\(574\) 0.241788 0.504572i 0.0100920 0.0210604i
\(575\) 1.72967 + 0.394785i 0.0721321 + 0.0164637i
\(576\) −31.1509 0.0798673i −1.29795 0.00332780i
\(577\) 13.2293 14.2578i 0.550745 0.593562i −0.394916 0.918717i \(-0.629226\pi\)
0.945661 + 0.325156i \(0.105417\pi\)
\(578\) 12.1002 9.64955i 0.503300 0.401369i
\(579\) −11.9973 + 6.90617i −0.498592 + 0.287011i
\(580\) −7.00604 + 2.74967i −0.290910 + 0.114174i
\(581\) −1.40637 1.75656i −0.0583462 0.0728743i
\(582\) −0.675116 1.40650i −0.0279845 0.0583014i
\(583\) −1.09860 2.79918i −0.0454993 0.115930i
\(584\) 5.31654 3.62475i 0.220000 0.149993i
\(585\) −5.02723 0.389703i −0.207851 0.0161122i
\(586\) −16.6002 53.8166i −0.685750 2.22315i
\(587\) −2.30768 3.99703i −0.0952483 0.164975i 0.814464 0.580214i \(-0.197031\pi\)
−0.909712 + 0.415239i \(0.863698\pi\)
\(588\) 15.9711 + 23.2957i 0.658638 + 0.960699i
\(589\) −2.61772 + 4.53403i −0.107861 + 0.186821i
\(590\) −36.7026 8.37713i −1.51102 0.344881i
\(591\) −29.1787 36.6853i −1.20025 1.50903i
\(592\) −0.296606 0.142838i −0.0121904 0.00587061i
\(593\) 9.86984 + 1.48764i 0.405306 + 0.0610900i 0.348532 0.937297i \(-0.386680\pi\)
0.0567741 + 0.998387i \(0.481919\pi\)
\(594\) 2.00364 + 1.16710i 0.0822103 + 0.0478866i
\(595\) −8.79820 + 8.19525i −0.360691 + 0.335972i
\(596\) −4.39723 + 29.1737i −0.180118 + 1.19500i
\(597\) −15.8647 + 27.3973i −0.649300 + 1.12130i
\(598\) 1.38376 + 0.543087i 0.0565863 + 0.0222085i
\(599\) −8.75994 28.3990i −0.357921 1.16035i −0.938246 0.345968i \(-0.887551\pi\)
0.580325 0.814385i \(-0.302926\pi\)
\(600\) −0.746480 3.28998i −0.0304749 0.134313i
\(601\) 0.574617 + 1.86286i 0.0234391 + 0.0759877i 0.966537 0.256528i \(-0.0825787\pi\)
−0.943098 + 0.332516i \(0.892102\pi\)
\(602\) −11.4497 + 4.51925i −0.466655 + 0.184191i
\(603\) −33.8719 + 10.3531i −1.37937 + 0.421610i
\(604\) 6.87000 17.5045i 0.279537 0.712247i
\(605\) 14.5044 6.98493i 0.589686 0.283978i
\(606\) 26.3957 + 24.5546i 1.07225 + 0.997464i
\(607\) 5.71107i 0.231805i −0.993261 0.115903i \(-0.963024\pi\)
0.993261 0.115903i \(-0.0369761\pi\)
\(608\) −1.76281 + 23.5230i −0.0714912 + 0.953984i
\(609\) 10.0739 0.00656368i 0.408214 0.000265974i
\(610\) −1.25123 16.6964i −0.0506607 0.676019i
\(611\) −11.3590 + 0.851240i −0.459536 + 0.0344375i
\(612\) 4.86291 21.0568i 0.196572 0.851171i
\(613\) −13.5676 4.18505i −0.547990 0.169032i 0.00838374 0.999965i \(-0.497331\pi\)
−0.556373 + 0.830932i \(0.687808\pi\)
\(614\) 2.30896 1.57422i 0.0931820 0.0635304i
\(615\) −0.240947 + 0.0942086i −0.00971594 + 0.00379886i
\(616\) 0.321093 0.219828i 0.0129372 0.00885712i
\(617\) 0.263519 + 0.0197480i 0.0106089 + 0.000795026i 0.0800335 0.996792i \(-0.474497\pi\)
−0.0694246 + 0.997587i \(0.522116\pi\)
\(618\) −29.5730 + 31.7902i −1.18960 + 1.27879i
\(619\) 24.0925i 0.968359i −0.874969 0.484180i \(-0.839118\pi\)
0.874969 0.484180i \(-0.160882\pi\)
\(620\) 6.13550 + 0.459792i 0.246408 + 0.0184657i
\(621\) −3.24589 0.0124832i −0.130253 0.000500932i
\(622\) 63.4263 14.4766i 2.54316 0.580461i
\(623\) −23.6186 29.4996i −0.946258 1.18188i
\(624\) 0.470276 + 6.38522i 0.0188261 + 0.255613i
\(625\) 2.46253 1.18589i 0.0985013 0.0474357i
\(626\) −46.2421 + 14.2638i −1.84821 + 0.570096i
\(627\) 0.610754 0.893349i 0.0243912 0.0356769i
\(628\) −1.84070 + 5.96741i −0.0734520 + 0.238125i
\(629\) 0.196371 0.246242i 0.00782984 0.00981831i
\(630\) 3.63271 23.9988i 0.144731 0.956136i
\(631\) 20.6668 + 25.9153i 0.822731 + 1.03167i 0.998880 + 0.0473091i \(0.0150646\pi\)
−0.176149 + 0.984364i \(0.556364\pi\)
\(632\) −6.58904 + 2.58601i −0.262098 + 0.102866i
\(633\) 5.33029 2.08410i 0.211860 0.0828356i
\(634\) 5.16893 + 0.779091i 0.205284 + 0.0309416i
\(635\) −5.19529 + 22.7620i −0.206169 + 0.903284i
\(636\) 12.6599 55.1408i 0.501999 2.18648i
\(637\) 6.23964 5.01555i 0.247224 0.198723i
\(638\) 0.980984i 0.0388375i
\(639\) −16.8571 13.5139i −0.666855 0.534602i
\(640\) 7.40383 2.90579i 0.292662 0.114861i
\(641\) 17.6454 36.6410i 0.696951 1.44723i −0.188296 0.982112i \(-0.560296\pi\)
0.885247 0.465122i \(-0.153989\pi\)
\(642\) −25.5719 + 20.3393i −1.00924 + 0.802729i
\(643\) −3.76637 24.9882i −0.148531 0.985439i −0.931595 0.363498i \(-0.881582\pi\)
0.783064 0.621941i \(-0.213656\pi\)
\(644\) −1.66383 + 3.47213i −0.0655640 + 0.136821i
\(645\) 5.29554 + 2.08618i 0.208512 + 0.0821434i
\(646\) −17.9120 5.52513i −0.704740 0.217383i
\(647\) 11.4647 1.72803i 0.450725 0.0679359i 0.0802427 0.996775i \(-0.474430\pi\)
0.370482 + 0.928839i \(0.379192\pi\)
\(648\) 2.64947 + 5.57462i 0.104081 + 0.218992i
\(649\) 1.48728 2.18144i 0.0583808 0.0856290i
\(650\) −6.45826 + 1.99211i −0.253314 + 0.0781370i
\(651\) −7.42209 3.56834i −0.290895 0.139854i
\(652\) −16.3987 5.05832i −0.642222 0.198099i
\(653\) −8.04612 + 6.41657i −0.314869 + 0.251100i −0.768153 0.640267i \(-0.778824\pi\)
0.453284 + 0.891366i \(0.350252\pi\)
\(654\) −22.0320 + 20.3902i −0.861520 + 0.797321i
\(655\) 4.40074 0.171951
\(656\) 0.164250 + 0.284489i 0.00641287 + 0.0111074i
\(657\) 24.3407 + 14.1364i 0.949621 + 0.551515i
\(658\) −0.106018 54.8321i −0.00413300 2.13758i
\(659\) −2.93946 + 0.220282i −0.114505 + 0.00858096i −0.131859 0.991268i \(-0.542095\pi\)
0.0173543 + 0.999849i \(0.494476\pi\)
\(660\) −1.25732 0.191159i −0.0489411 0.00744086i
\(661\) −24.2666 26.1532i −0.943863 1.01724i −0.999823 0.0188096i \(-0.994012\pi\)
0.0559599 0.998433i \(-0.482178\pi\)
\(662\) 8.63540 + 9.30675i 0.335624 + 0.361717i
\(663\) −6.05573 0.920696i −0.235185 0.0357569i
\(664\) −0.581638 + 0.0435877i −0.0225719 + 0.00169153i
\(665\) −11.0487 2.49933i −0.428450 0.0969197i
\(666\) −0.00163011 + 0.635795i −6.31653e−5 + 0.0246366i
\(667\) 0.686612 + 1.18925i 0.0265857 + 0.0460478i
\(668\) 20.2099 0.781945
\(669\) −18.7907 + 17.3905i −0.726491 + 0.672354i
\(670\) 28.2270 22.5103i 1.09051 0.869649i
\(671\) 1.12206 + 0.346110i 0.0433167 + 0.0133614i
\(672\) −37.1053 + 0.0241761i −1.43137 + 0.000932614i
\(673\) −47.0773 + 14.5214i −1.81469 + 0.559759i −0.999803 0.0198535i \(-0.993680\pi\)
−0.814892 + 0.579613i \(0.803204\pi\)
\(674\) 28.7460 42.1626i 1.10725 1.62404i
\(675\) 11.5733 9.15681i 0.445457 0.352446i
\(676\) 26.9335 4.05957i 1.03590 0.156137i
\(677\) 0.150777 + 0.0465086i 0.00579484 + 0.00178747i 0.297651 0.954675i \(-0.403797\pi\)
−0.291856 + 0.956462i \(0.594273\pi\)
\(678\) 12.8715 + 5.07073i 0.494326 + 0.194740i
\(679\) −0.498931 1.03094i −0.0191472 0.0395638i
\(680\) 0.464513 + 3.08184i 0.0178132 + 0.118183i
\(681\) −17.6653 + 14.0506i −0.676936 + 0.538420i
\(682\) −0.347952 + 0.722530i −0.0133238 + 0.0276671i
\(683\) 7.71412 3.02757i 0.295173 0.115847i −0.213134 0.977023i \(-0.568367\pi\)
0.508306 + 0.861176i \(0.330272\pi\)
\(684\) 18.9719 7.38983i 0.725407 0.282557i
\(685\) 24.2549i 0.926731i
\(686\) 21.8926 + 31.7138i 0.835864 + 1.21084i
\(687\) 0.308808 1.34503i 0.0117818 0.0513160i
\(688\) 1.60816 7.04582i 0.0613106 0.268619i
\(689\) −15.8563 2.38996i −0.604079 0.0910502i
\(690\) 3.08151 1.20485i 0.117311 0.0458677i
\(691\) 37.8174 14.8422i 1.43864 0.564625i 0.487429 0.873163i \(-0.337935\pi\)
0.951212 + 0.308538i \(0.0998396\pi\)
\(692\) −5.95016 7.46126i −0.226191 0.283635i
\(693\) 1.47365 + 0.852052i 0.0559794 + 0.0323668i
\(694\) 9.91201 12.4293i 0.376255 0.471809i
\(695\) 6.34755 20.5783i 0.240776 0.780578i
\(696\) 1.47372 2.15561i 0.0558612 0.0817081i
\(697\) −0.300314 + 0.0926347i −0.0113752 + 0.00350879i
\(698\) 8.22872 3.96274i 0.311462 0.149992i
\(699\) 2.84880 + 38.6799i 0.107751 + 1.46301i
\(700\) −3.92824 17.0586i −0.148473 0.644755i
\(701\) 5.68465 1.29748i 0.214706 0.0490053i −0.113815 0.993502i \(-0.536307\pi\)
0.328521 + 0.944497i \(0.393450\pi\)
\(702\) 10.7322 6.14133i 0.405061 0.231790i
\(703\) 0.295897 + 0.0221744i 0.0111600 + 0.000836324i
\(704\) 2.22691i 0.0839298i
\(705\) −17.2686 + 18.5634i −0.650375 + 0.699137i
\(706\) −46.8100 3.50793i −1.76172 0.132023i
\(707\) 19.4354 + 17.9636i 0.730942 + 0.675589i
\(708\) 46.2631 18.0885i 1.73867 0.679808i
\(709\) −27.5611 + 18.7909i −1.03508 + 0.705706i −0.956658 0.291215i \(-0.905941\pi\)
−0.0784222 + 0.996920i \(0.524988\pi\)
\(710\) 21.0446 + 6.49140i 0.789790 + 0.243618i
\(711\) −22.6441 21.1189i −0.849218 0.792021i
\(712\) −9.76800 + 0.732011i −0.366071 + 0.0274333i
\(713\) −0.0838921 1.11946i −0.00314178 0.0419242i
\(714\) 6.54240 28.7505i 0.244843 1.07596i
\(715\) −0.0269374 + 0.359455i −0.00100740 + 0.0134429i
\(716\) 9.22661i 0.344815i
\(717\) 1.56453 + 1.45541i 0.0584286 + 0.0543534i
\(718\) 40.2025 19.3605i 1.50034 0.722527i
\(719\) 1.23462 3.14576i 0.0460436 0.117317i −0.906002 0.423274i \(-0.860881\pi\)
0.952046 + 0.305956i \(0.0989762\pi\)
\(720\) 10.4216 + 9.71964i 0.388389 + 0.362229i
\(721\) −21.6348 + 23.4074i −0.805724 + 0.871738i
\(722\) 6.44766 + 20.9028i 0.239957 + 0.777922i
\(723\) −10.7539 47.3960i −0.399943 1.76268i
\(724\) −10.9017 35.3425i −0.405159 1.31349i
\(725\) −5.81183 2.28097i −0.215846 0.0847133i
\(726\) −19.7829 + 34.1638i −0.734212 + 1.26794i
\(727\) 4.22758 28.0482i 0.156792 1.04025i −0.762590 0.646882i \(-0.776072\pi\)
0.919382 0.393366i \(-0.128689\pi\)
\(728\) −0.159073 2.06900i −0.00589565 0.0766821i
\(729\) −16.9961 + 20.9793i −0.629485 + 0.777013i
\(730\) −28.3718 4.27636i −1.05009 0.158275i
\(731\) 6.22941 + 2.99992i 0.230403 + 0.110956i
\(732\) 13.7522 + 17.2901i 0.508295 + 0.639061i
\(733\) 5.18385 + 1.18318i 0.191470 + 0.0437018i 0.317180 0.948365i \(-0.397264\pi\)
−0.125710 + 0.992067i \(0.540121\pi\)
\(734\) 26.9100 46.6094i 0.993265 1.72038i
\(735\) 2.61017 17.6264i 0.0962777 0.650160i
\(736\) −2.52901 4.38038i −0.0932206 0.161463i
\(737\) 0.746323 + 2.41952i 0.0274912 + 0.0891241i
\(738\) 0.358728 0.523270i 0.0132050 0.0192619i
\(739\) 11.0597 7.54037i 0.406837 0.277377i −0.342562 0.939495i \(-0.611295\pi\)
0.749399 + 0.662118i \(0.230342\pi\)
\(740\) −0.127399 0.324608i −0.00468329 0.0119328i
\(741\) −2.49719 5.20252i −0.0917367 0.191120i
\(742\) 17.0308 75.2876i 0.625221 2.76390i
\(743\) −30.2278 + 11.8636i −1.10895 + 0.435232i −0.847934 0.530102i \(-0.822154\pi\)
−0.261018 + 0.965334i \(0.584058\pi\)
\(744\) −1.85004 + 1.06496i −0.0678257 + 0.0390433i
\(745\) 14.5519 11.6047i 0.533140 0.425165i
\(746\) 6.85173 7.38441i 0.250860 0.270362i
\(747\) −1.27007 2.21291i −0.0464695 0.0809662i
\(748\) −1.50619 0.343778i −0.0550717 0.0125698i
\(749\) −18.7246 + 14.9917i −0.684183 + 0.547785i
\(750\) −20.8092 + 35.9361i −0.759843 + 1.31220i
\(751\) −15.8971 19.9344i −0.580095 0.727416i 0.402034 0.915625i \(-0.368303\pi\)
−0.982129 + 0.188208i \(0.939732\pi\)
\(752\) 26.5990 + 18.1349i 0.969967 + 0.661312i
\(753\) −32.2294 7.39964i −1.17451 0.269658i
\(754\) −4.53037 2.61561i −0.164986 0.0952549i
\(755\) −10.6882 + 5.14716i −0.388983 + 0.187324i
\(756\) 13.8406 + 28.8815i 0.503378 + 1.05041i
\(757\) 31.1414 + 14.9969i 1.13185 + 0.545072i 0.903535 0.428514i \(-0.140963\pi\)
0.228319 + 0.973586i \(0.426677\pi\)
\(758\) 11.5217 + 16.8992i 0.418486 + 0.613807i
\(759\) −0.000297465 0.232042i −1.07973e−5 0.00842260i
\(760\) −2.15244 + 1.99717i −0.0780771 + 0.0724450i
\(761\) −17.5944 8.47303i −0.637797 0.307147i 0.0868972 0.996217i \(-0.472305\pi\)
−0.724695 + 0.689070i \(0.758019\pi\)
\(762\) −20.8490 53.3232i −0.755278 1.93170i
\(763\) −16.1259 + 15.0207i −0.583795 + 0.543787i
\(764\) −4.76061 9.88551i −0.172233 0.357645i
\(765\) −11.2843 + 7.65120i −0.407985 + 0.276630i
\(766\) 2.89457 + 1.67118i 0.104585 + 0.0603823i
\(767\) −6.10874 12.6849i −0.220574 0.458026i
\(768\) 9.29283 13.5926i 0.335326 0.490481i
\(769\) −4.13890 + 13.4180i −0.149253 + 0.483865i −0.999066 0.0432194i \(-0.986239\pi\)
0.849813 + 0.527084i \(0.176715\pi\)
\(770\) −1.71628 0.255295i −0.0618504 0.00920018i
\(771\) 6.27129 12.9799i 0.225855 0.467459i
\(772\) −1.39138 + 18.5667i −0.0500770 + <