Properties

Label 441.2.bn.a.5.10
Level $441$
Weight $2$
Character 441.5
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (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 5.10
Character \(\chi\) \(=\) 441.5
Dual form 441.2.bn.a.353.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.52262 + 1.21425i) q^{2} +(0.820482 + 1.52539i) q^{3} +(0.398931 - 1.74783i) q^{4} +(0.733166 + 0.499864i) q^{5} +(-3.10149 - 1.32632i) q^{6} +(2.50828 - 0.841742i) q^{7} +(-0.175099 - 0.363598i) q^{8} +(-1.65362 + 2.50311i) q^{9} +O(q^{10})\) \(q+(-1.52262 + 1.21425i) q^{2} +(0.820482 + 1.52539i) q^{3} +(0.398931 - 1.74783i) q^{4} +(0.733166 + 0.499864i) q^{5} +(-3.10149 - 1.32632i) q^{6} +(2.50828 - 0.841742i) q^{7} +(-0.175099 - 0.363598i) q^{8} +(-1.65362 + 2.50311i) q^{9} +(-1.72330 + 0.129143i) q^{10} +(-0.259396 - 1.72098i) q^{11} +(2.99344 - 0.825540i) q^{12} +(0.961736 + 6.38070i) q^{13} +(-2.79708 + 4.32733i) q^{14} +(-0.160937 + 1.52849i) q^{15} +(3.93859 + 1.89672i) q^{16} +(-5.14982 + 4.77833i) q^{17} +(-0.521565 - 5.81919i) q^{18} +(1.61414 + 0.931927i) q^{19} +(1.16616 - 1.08204i) q^{20} +(3.34198 + 3.13547i) q^{21} +(2.48466 + 2.30543i) q^{22} +(-0.628183 - 2.03652i) q^{23} +(0.410962 - 0.565420i) q^{24} +(-1.53904 - 3.92140i) q^{25} +(-9.21213 - 8.54761i) q^{26} +(-5.17497 - 0.468653i) q^{27} +(-0.470592 - 4.71985i) q^{28} +(5.96430 + 6.42799i) q^{29} +(-1.61093 - 2.52273i) q^{30} +4.40723i q^{31} +(-7.51318 + 1.71483i) q^{32} +(2.41233 - 1.80771i) q^{33} +(2.03913 - 13.5288i) q^{34} +(2.25974 + 0.636663i) q^{35} +(3.71533 + 3.88881i) q^{36} +(0.627488 + 0.193554i) q^{37} +(-3.58932 + 0.541004i) q^{38} +(-8.94396 + 6.70227i) q^{39} +(0.0533725 - 0.354104i) q^{40} +(0.0513860 - 0.685699i) q^{41} +(-8.89582 - 0.716125i) q^{42} +(-0.767926 - 10.2473i) q^{43} +(-3.11146 - 0.233172i) q^{44} +(-2.46359 + 1.00861i) q^{45} +(3.42933 + 2.33808i) q^{46} +(0.546950 + 0.685853i) q^{47} +(0.338301 + 7.56410i) q^{48} +(5.58294 - 4.22265i) q^{49} +(7.10493 + 4.10203i) q^{50} +(-11.5142 - 3.93493i) q^{51} +(11.5361 + 0.864508i) q^{52} +(-1.10586 - 3.58512i) q^{53} +(8.44859 - 5.57013i) q^{54} +(0.670076 - 1.39143i) q^{55} +(-0.745254 - 0.764617i) q^{56} +(-0.0971730 + 3.22683i) q^{57} +(-16.8866 - 2.54524i) q^{58} +(-7.57402 - 3.64746i) q^{59} +(2.60734 + 0.891054i) q^{60} +(-7.26411 + 1.65798i) q^{61} +(-5.35148 - 6.71054i) q^{62} +(-2.04076 + 7.67042i) q^{63} +(3.90632 - 4.89837i) q^{64} +(-2.48437 + 5.15885i) q^{65} +(-1.47805 + 5.68163i) q^{66} -5.14068 q^{67} +(6.29730 + 10.9072i) q^{68} +(2.59107 - 2.62915i) q^{69} +(-4.21380 + 1.77450i) q^{70} +(15.2527 + 3.48133i) q^{71} +(1.19967 + 0.162959i) q^{72} +(-0.490611 + 3.25499i) q^{73} +(-1.19045 + 0.467217i) q^{74} +(4.71891 - 5.56507i) q^{75} +(2.27278 - 2.44948i) q^{76} +(-2.09926 - 4.09835i) q^{77} +(5.48003 - 21.0652i) q^{78} +17.5657 q^{79} +(1.93953 + 3.35937i) q^{80} +(-3.53110 - 8.27837i) q^{81} +(0.754368 + 1.10646i) q^{82} +(5.21683 + 0.786310i) q^{83} +(6.81349 - 4.59039i) q^{84} +(-6.16419 + 0.929103i) q^{85} +(13.6120 + 14.6702i) q^{86} +(-4.91157 + 14.3719i) q^{87} +(-0.580324 + 0.395658i) q^{88} +(2.70038 + 6.88046i) q^{89} +(2.52641 - 4.52715i) q^{90} +(7.78321 + 15.1951i) q^{91} +(-3.81009 + 0.285527i) q^{92} +(-6.72274 + 3.61605i) q^{93} +(-1.66559 - 0.380161i) q^{94} +(0.717600 + 1.49011i) q^{95} +(-8.78022 - 10.0535i) q^{96} +(6.08947 - 3.51576i) q^{97} +(-3.37335 + 13.2086i) q^{98} +(4.73674 + 2.19654i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} + O(q^{10}) \) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} - 22 q^{10} - 18 q^{11} - 72 q^{12} - 4 q^{13} + 66 q^{14} - 10 q^{15} - 105 q^{16} - 9 q^{17} - 27 q^{18} - 36 q^{19} - 27 q^{20} - 11 q^{21} - 9 q^{22} - 27 q^{23} - 8 q^{24} + 38 q^{25} + 6 q^{26} - 29 q^{27} - 26 q^{28} + 3 q^{29} - 16 q^{30} - 21 q^{32} - 11 q^{33} - 13 q^{34} + 28 q^{36} - 13 q^{37} - 90 q^{38} - 15 q^{39} - 31 q^{40} - 27 q^{41} - 4 q^{42} - 9 q^{43} + 51 q^{44} - 11 q^{45} - 108 q^{46} + 75 q^{47} - 15 q^{48} - 13 q^{49} - 45 q^{50} - 38 q^{51} + 64 q^{52} - 12 q^{53} - 41 q^{54} + 14 q^{55} + 3 q^{56} - 7 q^{57} - 90 q^{58} + 15 q^{59} - 69 q^{60} - 56 q^{61} + 66 q^{62} + 13 q^{63} + 64 q^{64} - 21 q^{65} - 204 q^{66} - 26 q^{67} + 3 q^{68} + 58 q^{69} - 22 q^{70} - 63 q^{71} - 18 q^{72} - 22 q^{73} - 12 q^{74} + 118 q^{75} - 63 q^{76} - 69 q^{77} - 147 q^{78} - 2 q^{79} - 45 q^{80} + 29 q^{81} - 28 q^{82} - 51 q^{83} - 31 q^{84} - 10 q^{85} - 72 q^{86} - 67 q^{87} + 4 q^{88} + 132 q^{89} + 58 q^{90} - 13 q^{91} - 15 q^{92} + 217 q^{93} - 7 q^{94} - 21 q^{95} - 44 q^{96} + 3 q^{97} + 21 q^{98} - 148 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{29}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.52262 + 1.21425i −1.07666 + 0.858604i −0.990477 0.137675i \(-0.956037\pi\)
−0.0861785 + 0.996280i \(0.527466\pi\)
\(3\) 0.820482 + 1.52539i 0.473706 + 0.880683i
\(4\) 0.398931 1.74783i 0.199465 0.873915i
\(5\) 0.733166 + 0.499864i 0.327882 + 0.223546i 0.716061 0.698038i \(-0.245943\pi\)
−0.388179 + 0.921584i \(0.626896\pi\)
\(6\) −3.10149 1.32632i −1.26618 0.541467i
\(7\) 2.50828 0.841742i 0.948041 0.318149i
\(8\) −0.175099 0.363598i −0.0619070 0.128551i
\(9\) −1.65362 + 2.50311i −0.551206 + 0.834369i
\(10\) −1.72330 + 0.129143i −0.544954 + 0.0408386i
\(11\) −0.259396 1.72098i −0.0782108 0.518895i −0.993293 0.115627i \(-0.963112\pi\)
0.915082 0.403268i \(-0.132126\pi\)
\(12\) 2.99344 0.825540i 0.864131 0.238313i
\(13\) 0.961736 + 6.38070i 0.266738 + 1.76969i 0.574773 + 0.818313i \(0.305091\pi\)
−0.308035 + 0.951375i \(0.599671\pi\)
\(14\) −2.79708 + 4.32733i −0.747550 + 1.15653i
\(15\) −0.160937 + 1.52849i −0.0415538 + 0.394655i
\(16\) 3.93859 + 1.89672i 0.984646 + 0.474181i
\(17\) −5.14982 + 4.77833i −1.24901 + 1.15892i −0.268329 + 0.963327i \(0.586471\pi\)
−0.980686 + 0.195589i \(0.937338\pi\)
\(18\) −0.521565 5.81919i −0.122934 1.37160i
\(19\) 1.61414 + 0.931927i 0.370310 + 0.213799i 0.673594 0.739102i \(-0.264750\pi\)
−0.303284 + 0.952900i \(0.598083\pi\)
\(20\) 1.16616 1.08204i 0.260762 0.241951i
\(21\) 3.34198 + 3.13547i 0.729281 + 0.684215i
\(22\) 2.48466 + 2.30543i 0.529731 + 0.491519i
\(23\) −0.628183 2.03652i −0.130985 0.424644i 0.866193 0.499709i \(-0.166560\pi\)
−0.997179 + 0.0750653i \(0.976083\pi\)
\(24\) 0.410962 0.565420i 0.0838872 0.115416i
\(25\) −1.53904 3.92140i −0.307807 0.784280i
\(26\) −9.21213 8.54761i −1.80665 1.67632i
\(27\) −5.17497 0.468653i −0.995924 0.0901923i
\(28\) −0.470592 4.71985i −0.0889336 0.891967i
\(29\) 5.96430 + 6.42799i 1.10754 + 1.19365i 0.979408 + 0.201891i \(0.0647087\pi\)
0.128135 + 0.991757i \(0.459101\pi\)
\(30\) −1.61093 2.52273i −0.294114 0.460586i
\(31\) 4.40723i 0.791562i 0.918345 + 0.395781i \(0.129526\pi\)
−0.918345 + 0.395781i \(0.870474\pi\)
\(32\) −7.51318 + 1.71483i −1.32816 + 0.303143i
\(33\) 2.41233 1.80771i 0.419933 0.314682i
\(34\) 2.03913 13.5288i 0.349708 2.32016i
\(35\) 2.25974 + 0.636663i 0.381966 + 0.107616i
\(36\) 3.71533 + 3.88881i 0.619222 + 0.648135i
\(37\) 0.627488 + 0.193554i 0.103158 + 0.0318201i 0.345905 0.938270i \(-0.387572\pi\)
−0.242746 + 0.970090i \(0.578048\pi\)
\(38\) −3.58932 + 0.541004i −0.582265 + 0.0877624i
\(39\) −8.94396 + 6.70227i −1.43218 + 1.07322i
\(40\) 0.0533725 0.354104i 0.00843894 0.0559887i
\(41\) 0.0513860 0.685699i 0.00802515 0.107088i −0.991753 0.128166i \(-0.959091\pi\)
0.999778 + 0.0210782i \(0.00670990\pi\)
\(42\) −8.89582 0.716125i −1.37265 0.110500i
\(43\) −0.767926 10.2473i −0.117108 1.56269i −0.678162 0.734913i \(-0.737223\pi\)
0.561054 0.827779i \(-0.310396\pi\)
\(44\) −3.11146 0.233172i −0.469070 0.0351520i
\(45\) −2.46359 + 1.00861i −0.367251 + 0.150355i
\(46\) 3.42933 + 2.33808i 0.505627 + 0.344731i
\(47\) 0.546950 + 0.685853i 0.0797808 + 0.100042i 0.820120 0.572191i \(-0.193907\pi\)
−0.740339 + 0.672233i \(0.765335\pi\)
\(48\) 0.338301 + 7.56410i 0.0488296 + 1.09178i
\(49\) 5.58294 4.22265i 0.797563 0.603236i
\(50\) 7.10493 + 4.10203i 1.00479 + 0.580115i
\(51\) −11.5142 3.93493i −1.61230 0.551001i
\(52\) 11.5361 + 0.864508i 1.59976 + 0.119886i
\(53\) −1.10586 3.58512i −0.151902 0.492454i 0.847354 0.531029i \(-0.178194\pi\)
−0.999256 + 0.0385748i \(0.987718\pi\)
\(54\) 8.44859 5.57013i 1.14971 0.757999i
\(55\) 0.670076 1.39143i 0.0903530 0.187620i
\(56\) −0.745254 0.764617i −0.0995888 0.102176i
\(57\) −0.0971730 + 3.22683i −0.0128709 + 0.427404i
\(58\) −16.8866 2.54524i −2.21731 0.334206i
\(59\) −7.57402 3.64746i −0.986053 0.474858i −0.129870 0.991531i \(-0.541456\pi\)
−0.856183 + 0.516673i \(0.827170\pi\)
\(60\) 2.60734 + 0.891054i 0.336607 + 0.115035i
\(61\) −7.26411 + 1.65798i −0.930074 + 0.212283i −0.660612 0.750728i \(-0.729703\pi\)
−0.269462 + 0.963011i \(0.586846\pi\)
\(62\) −5.35148 6.71054i −0.679639 0.852240i
\(63\) −2.04076 + 7.67042i −0.257112 + 0.966382i
\(64\) 3.90632 4.89837i 0.488290 0.612297i
\(65\) −2.48437 + 5.15885i −0.308149 + 0.639877i
\(66\) −1.47805 + 5.68163i −0.181936 + 0.699361i
\(67\) −5.14068 −0.628034 −0.314017 0.949417i \(-0.601675\pi\)
−0.314017 + 0.949417i \(0.601675\pi\)
\(68\) 6.29730 + 10.9072i 0.763659 + 1.32270i
\(69\) 2.59107 2.62915i 0.311928 0.316513i
\(70\) −4.21380 + 1.77450i −0.503646 + 0.212093i
\(71\) 15.2527 + 3.48133i 1.81016 + 0.413157i 0.987790 0.155793i \(-0.0497934\pi\)
0.822371 + 0.568951i \(0.192651\pi\)
\(72\) 1.19967 + 0.162959i 0.141383 + 0.0192049i
\(73\) −0.490611 + 3.25499i −0.0574217 + 0.380968i 0.941600 + 0.336735i \(0.109323\pi\)
−0.999021 + 0.0442333i \(0.985916\pi\)
\(74\) −1.19045 + 0.467217i −0.138387 + 0.0543129i
\(75\) 4.71891 5.56507i 0.544892 0.642599i
\(76\) 2.27278 2.44948i 0.260706 0.280974i
\(77\) −2.09926 4.09835i −0.239233 0.467051i
\(78\) 5.48003 21.0652i 0.620491 2.38517i
\(79\) 17.5657 1.97629 0.988145 0.153522i \(-0.0490615\pi\)
0.988145 + 0.153522i \(0.0490615\pi\)
\(80\) 1.93953 + 3.35937i 0.216847 + 0.375589i
\(81\) −3.53110 8.27837i −0.392344 0.919818i
\(82\) 0.754368 + 1.10646i 0.0833060 + 0.122188i
\(83\) 5.21683 + 0.786310i 0.572621 + 0.0863087i 0.428968 0.903319i \(-0.358877\pi\)
0.143653 + 0.989628i \(0.454115\pi\)
\(84\) 6.81349 4.59039i 0.743412 0.500852i
\(85\) −6.16419 + 0.929103i −0.668601 + 0.100775i
\(86\) 13.6120 + 14.6702i 1.46782 + 1.58193i
\(87\) −4.91157 + 14.3719i −0.526576 + 1.54083i
\(88\) −0.580324 + 0.395658i −0.0618627 + 0.0421773i
\(89\) 2.70038 + 6.88046i 0.286240 + 0.729327i 0.999593 + 0.0285225i \(0.00908023\pi\)
−0.713353 + 0.700805i \(0.752825\pi\)
\(90\) 2.52641 4.52715i 0.266307 0.477203i
\(91\) 7.78321 + 15.1951i 0.815902 + 1.59287i
\(92\) −3.81009 + 0.285527i −0.397230 + 0.0297682i
\(93\) −6.72274 + 3.61605i −0.697115 + 0.374967i
\(94\) −1.66559 0.380161i −0.171793 0.0392106i
\(95\) 0.717600 + 1.49011i 0.0736242 + 0.152882i
\(96\) −8.78022 10.0535i −0.896128 1.02608i
\(97\) 6.08947 3.51576i 0.618292 0.356971i −0.157912 0.987453i \(-0.550476\pi\)
0.776204 + 0.630482i \(0.217143\pi\)
\(98\) −3.37335 + 13.2086i −0.340760 + 1.33427i
\(99\) 4.73674 + 2.19654i 0.476060 + 0.220761i
\(100\) −7.46791 + 1.12561i −0.746791 + 0.112561i
\(101\) 1.30889 17.4659i 0.130240 1.73793i −0.424083 0.905624i \(-0.639403\pi\)
0.554322 0.832302i \(-0.312978\pi\)
\(102\) 22.3097 7.98964i 2.20899 0.791092i
\(103\) −5.79024 + 8.49272i −0.570529 + 0.836812i −0.997730 0.0673445i \(-0.978547\pi\)
0.427201 + 0.904157i \(0.359500\pi\)
\(104\) 2.15161 1.46694i 0.210983 0.143846i
\(105\) 0.882922 + 3.96936i 0.0861644 + 0.387370i
\(106\) 6.03704 + 4.11599i 0.586369 + 0.399780i
\(107\) 5.94809 2.33445i 0.575023 0.225680i −0.0599668 0.998200i \(-0.519099\pi\)
0.634990 + 0.772520i \(0.281004\pi\)
\(108\) −2.88358 + 8.85802i −0.277473 + 0.852363i
\(109\) 3.65916 9.32339i 0.350484 0.893018i −0.641554 0.767078i \(-0.721710\pi\)
0.992038 0.125940i \(-0.0401948\pi\)
\(110\) 0.669268 + 2.93226i 0.0638122 + 0.279580i
\(111\) 0.219597 + 1.11597i 0.0208432 + 0.105923i
\(112\) 11.4756 + 1.44224i 1.08435 + 0.136279i
\(113\) −6.59716 + 2.58919i −0.620609 + 0.243571i −0.654749 0.755846i \(-0.727226\pi\)
0.0341407 + 0.999417i \(0.489131\pi\)
\(114\) −3.77022 5.03123i −0.353113 0.471218i
\(115\) 0.557421 1.80711i 0.0519798 0.168514i
\(116\) 13.6144 7.86027i 1.26406 0.729808i
\(117\) −17.5619 8.14391i −1.62360 0.752905i
\(118\) 15.9613 3.64306i 1.46936 0.335371i
\(119\) −8.89507 + 16.3202i −0.815409 + 1.49607i
\(120\) 0.583937 0.209122i 0.0533059 0.0190901i
\(121\) 7.61682 2.34948i 0.692438 0.213589i
\(122\) 9.04728 11.3449i 0.819102 1.02712i
\(123\) 1.08812 0.484220i 0.0981123 0.0436607i
\(124\) 7.70309 + 1.75818i 0.691758 + 0.157889i
\(125\) 1.81907 7.96988i 0.162703 0.712848i
\(126\) −6.20649 14.1571i −0.552918 1.26122i
\(127\) −0.106368 0.466029i −0.00943864 0.0413534i 0.969989 0.243148i \(-0.0781799\pi\)
−0.979428 + 0.201794i \(0.935323\pi\)
\(128\) 3.21118i 0.283831i
\(129\) 15.0010 9.57908i 1.32076 0.843391i
\(130\) −2.48138 10.8716i −0.217631 0.953505i
\(131\) 0.0666484 + 0.889361i 0.00582310 + 0.0777038i 0.999358 0.0358214i \(-0.0114048\pi\)
−0.993535 + 0.113525i \(0.963786\pi\)
\(132\) −2.19722 4.93750i −0.191244 0.429754i
\(133\) 4.83317 + 0.978840i 0.419089 + 0.0848762i
\(134\) 7.82730 6.24207i 0.676176 0.539232i
\(135\) −3.55986 2.93039i −0.306384 0.252208i
\(136\) 2.63912 + 1.03578i 0.226303 + 0.0888173i
\(137\) 6.62627 + 9.71895i 0.566120 + 0.830346i 0.997414 0.0718656i \(-0.0228953\pi\)
−0.431294 + 0.902211i \(0.641943\pi\)
\(138\) −0.752771 + 7.14941i −0.0640801 + 0.608598i
\(139\) 15.5920 + 1.16846i 1.32250 + 0.0991073i 0.717185 0.696882i \(-0.245430\pi\)
0.605310 + 0.795990i \(0.293049\pi\)
\(140\) 2.01426 3.69567i 0.170236 0.312341i
\(141\) −0.597430 + 1.39704i −0.0503127 + 0.117652i
\(142\) −27.4513 + 13.2198i −2.30366 + 1.10938i
\(143\) 10.7316 3.31025i 0.897420 0.276817i
\(144\) −11.2606 + 6.72225i −0.938385 + 0.560188i
\(145\) 1.15970 + 7.69413i 0.0963081 + 0.638963i
\(146\) −3.20536 5.55185i −0.265278 0.459474i
\(147\) 11.0219 + 5.05154i 0.909070 + 0.416644i
\(148\) 0.588624 1.01953i 0.0483846 0.0838046i
\(149\) 5.15881 + 2.02468i 0.422626 + 0.165868i 0.567116 0.823638i \(-0.308059\pi\)
−0.144490 + 0.989506i \(0.546154\pi\)
\(150\) −0.427723 + 14.2034i −0.0349235 + 1.15970i
\(151\) −10.6184 9.85240i −0.864110 0.801777i 0.117421 0.993082i \(-0.462537\pi\)
−0.981531 + 0.191305i \(0.938728\pi\)
\(152\) 0.0562107 0.750079i 0.00455929 0.0608395i
\(153\) −3.44485 20.7921i −0.278500 1.68094i
\(154\) 8.17280 + 3.69122i 0.658583 + 0.297447i
\(155\) −2.20302 + 3.23123i −0.176951 + 0.259539i
\(156\) 8.14642 + 18.3063i 0.652235 + 1.46567i
\(157\) −6.98562 + 14.5058i −0.557513 + 1.15769i 0.411667 + 0.911335i \(0.364947\pi\)
−0.969180 + 0.246354i \(0.920767\pi\)
\(158\) −26.7458 + 21.3291i −2.12779 + 1.69685i
\(159\) 4.56136 4.62840i 0.361739 0.367056i
\(160\) −6.36560 2.49831i −0.503245 0.197509i
\(161\) −3.28988 4.57939i −0.259279 0.360907i
\(162\) 15.4285 + 8.31718i 1.21218 + 0.653460i
\(163\) −9.51967 + 6.49040i −0.745638 + 0.508368i −0.875532 0.483160i \(-0.839489\pi\)
0.129894 + 0.991528i \(0.458536\pi\)
\(164\) −1.17799 0.363361i −0.0919852 0.0283737i
\(165\) 2.67225 0.119515i 0.208034 0.00930426i
\(166\) −8.89803 + 5.13728i −0.690621 + 0.398730i
\(167\) 19.8325 + 6.11753i 1.53469 + 0.473388i 0.943004 0.332782i \(-0.107987\pi\)
0.591684 + 0.806170i \(0.298463\pi\)
\(168\) 0.554869 1.76416i 0.0428091 0.136108i
\(169\) −27.3660 + 8.44128i −2.10507 + 0.649330i
\(170\) 8.25757 8.89955i 0.633327 0.682564i
\(171\) −5.00189 + 2.49933i −0.382504 + 0.191128i
\(172\) −18.2168 2.74574i −1.38902 0.209361i
\(173\) 1.03697 4.54324i 0.0788390 0.345416i −0.920089 0.391710i \(-0.871884\pi\)
0.998928 + 0.0462933i \(0.0147409\pi\)
\(174\) −9.97265 27.8469i −0.756024 2.11107i
\(175\) −7.16114 8.54050i −0.541332 0.645601i
\(176\) 2.24257 7.27022i 0.169040 0.548014i
\(177\) −0.650564 14.5460i −0.0488994 1.09334i
\(178\) −12.4663 7.19739i −0.934385 0.539468i
\(179\) 4.54928 + 4.90296i 0.340029 + 0.366464i 0.879797 0.475350i \(-0.157678\pi\)
−0.539768 + 0.841814i \(0.681488\pi\)
\(180\) 0.780077 + 4.70831i 0.0581435 + 0.350936i
\(181\) −8.30050 6.61943i −0.616971 0.492018i 0.264418 0.964408i \(-0.414820\pi\)
−0.881390 + 0.472390i \(0.843391\pi\)
\(182\) −30.3015 13.6856i −2.24610 1.01444i
\(183\) −8.48914 9.72023i −0.627535 0.718540i
\(184\) −0.630479 + 0.584999i −0.0464796 + 0.0431267i
\(185\) 0.363302 + 0.455566i 0.0267105 + 0.0334939i
\(186\) 5.84539 13.6690i 0.428605 1.00226i
\(187\) 9.55925 + 7.62325i 0.699042 + 0.557467i
\(188\) 1.41695 0.682367i 0.103342 0.0497668i
\(189\) −13.3748 + 3.18048i −0.972872 + 0.231346i
\(190\) −2.90200 1.39753i −0.210533 0.101387i
\(191\) −7.51962 15.6146i −0.544100 1.12984i −0.973914 0.226918i \(-0.927135\pi\)
0.429813 0.902918i \(-0.358579\pi\)
\(192\) 10.6770 + 1.93963i 0.770545 + 0.139981i
\(193\) −1.51161 + 0.727955i −0.108808 + 0.0523994i −0.487496 0.873125i \(-0.662090\pi\)
0.378688 + 0.925524i \(0.376375\pi\)
\(194\) −5.00295 + 12.7473i −0.359191 + 0.915203i
\(195\) −9.90764 + 0.443115i −0.709501 + 0.0317321i
\(196\) −5.15327 11.4426i −0.368091 0.817327i
\(197\) 0.608756i 0.0433721i −0.999765 0.0216860i \(-0.993097\pi\)
0.999765 0.0216860i \(-0.00690342\pi\)
\(198\) −9.87941 + 2.40708i −0.702099 + 0.171063i
\(199\) −7.00402 + 10.2730i −0.496502 + 0.728234i −0.989931 0.141552i \(-0.954791\pi\)
0.493429 + 0.869786i \(0.335743\pi\)
\(200\) −1.15633 + 1.24623i −0.0817648 + 0.0881215i
\(201\) −4.21783 7.84153i −0.297503 0.553099i
\(202\) 19.2151 + 28.1833i 1.35197 + 1.98297i
\(203\) 20.3709 + 11.1028i 1.42975 + 0.779263i
\(204\) −11.4710 + 18.5550i −0.803127 + 1.29911i
\(205\) 0.380431 0.477045i 0.0265704 0.0333183i
\(206\) −1.49594 19.9620i −0.104227 1.39082i
\(207\) 6.13640 + 1.79521i 0.426509 + 0.124776i
\(208\) −8.31454 + 26.9551i −0.576510 + 1.86900i
\(209\) 1.18512 3.01965i 0.0819767 0.208873i
\(210\) −6.16415 4.97174i −0.425367 0.343083i
\(211\) −5.66218 14.4270i −0.389801 0.993196i −0.982248 0.187587i \(-0.939933\pi\)
0.592447 0.805609i \(-0.298162\pi\)
\(212\) −6.70735 + 0.502646i −0.460662 + 0.0345219i
\(213\) 7.20419 + 26.1226i 0.493623 + 1.78989i
\(214\) −6.22207 + 10.7769i −0.425332 + 0.736697i
\(215\) 4.55922 7.89680i 0.310936 0.538557i
\(216\) 0.735734 + 1.96367i 0.0500604 + 0.133611i
\(217\) 3.70975 + 11.0546i 0.251834 + 0.750433i
\(218\) 5.74941 + 18.6391i 0.389399 + 1.26240i
\(219\) −5.36767 + 1.92229i −0.362713 + 0.129896i
\(220\) −2.16466 1.72626i −0.145942 0.116385i
\(221\) −35.4419 28.2640i −2.38408 1.90124i
\(222\) −1.68943 1.43255i −0.113387 0.0961467i
\(223\) −0.381537 1.23691i −0.0255496 0.0828298i 0.941900 0.335893i \(-0.109038\pi\)
−0.967450 + 0.253063i \(0.918562\pi\)
\(224\) −17.4017 + 10.6254i −1.16270 + 0.709943i
\(225\) 12.3607 + 2.63212i 0.824044 + 0.175475i
\(226\) 6.90105 11.9530i 0.459051 0.795099i
\(227\) 1.92759 3.33868i 0.127938 0.221596i −0.794939 0.606689i \(-0.792497\pi\)
0.922878 + 0.385093i \(0.125831\pi\)
\(228\) 5.60118 + 1.45712i 0.370947 + 0.0965003i
\(229\) −20.0248 + 1.50065i −1.32327 + 0.0991657i −0.717549 0.696508i \(-0.754736\pi\)
−0.605725 + 0.795674i \(0.707117\pi\)
\(230\) 1.34555 + 3.42840i 0.0887228 + 0.226062i
\(231\) 4.52917 6.56481i 0.297998 0.431933i
\(232\) 1.29286 3.29415i 0.0848802 0.216271i
\(233\) 5.92015 19.1926i 0.387842 1.25735i −0.525722 0.850656i \(-0.676205\pi\)
0.913564 0.406695i \(-0.133319\pi\)
\(234\) 36.6289 8.92448i 2.39451 0.583411i
\(235\) 0.0581715 + 0.776245i 0.00379469 + 0.0506367i
\(236\) −9.39665 + 11.7830i −0.611670 + 0.767009i
\(237\) 14.4123 + 26.7944i 0.936180 + 1.74049i
\(238\) −6.27301 35.6504i −0.406619 2.31087i
\(239\) 5.78388 + 8.48340i 0.374128 + 0.548746i 0.966417 0.256981i \(-0.0827277\pi\)
−0.592288 + 0.805726i \(0.701775\pi\)
\(240\) −3.53299 + 5.71485i −0.228054 + 0.368892i
\(241\) 15.3687 16.5635i 0.989983 1.06695i −0.00777188 0.999970i \(-0.502474\pi\)
0.997754 0.0669777i \(-0.0213356\pi\)
\(242\) −8.74468 + 12.8261i −0.562129 + 0.824492i
\(243\) 9.73052 12.1785i 0.624213 0.781254i
\(244\) 13.3579i 0.855149i
\(245\) 6.20398 0.305193i 0.396358 0.0194981i
\(246\) −1.06883 + 2.05853i −0.0681460 + 0.131247i
\(247\) −4.39397 + 11.1956i −0.279581 + 0.712362i
\(248\) 1.60246 0.771704i 0.101756 0.0490032i
\(249\) 3.08089 + 8.60284i 0.195243 + 0.545183i
\(250\) 6.90767 + 14.3439i 0.436879 + 0.907189i
\(251\) −3.51880 1.69457i −0.222105 0.106960i 0.319523 0.947579i \(-0.396477\pi\)
−0.541628 + 0.840619i \(0.682192\pi\)
\(252\) 12.5925 + 6.62688i 0.793251 + 0.417454i
\(253\) −3.34186 + 1.60935i −0.210101 + 0.101179i
\(254\) 0.727834 + 0.580428i 0.0456684 + 0.0364193i
\(255\) −6.47486 8.64048i −0.405471 0.541088i
\(256\) 11.7118 + 14.6862i 0.731988 + 0.917884i
\(257\) 5.95480 5.52524i 0.371450 0.344655i −0.472255 0.881462i \(-0.656560\pi\)
0.843705 + 0.536807i \(0.180370\pi\)
\(258\) −11.2094 + 32.8002i −0.697867 + 2.04205i
\(259\) 1.73684 0.0426944i 0.107922 0.00265290i
\(260\) 8.02571 + 6.40029i 0.497733 + 0.396929i
\(261\) −25.9526 + 4.29986i −1.60643 + 0.266154i
\(262\) −1.18139 1.27323i −0.0729863 0.0786605i
\(263\) −9.56844 5.52434i −0.590015 0.340645i 0.175088 0.984553i \(-0.443979\pi\)
−0.765103 + 0.643907i \(0.777312\pi\)
\(264\) −1.07968 0.560589i −0.0664496 0.0345019i
\(265\) 0.981292 3.18127i 0.0602803 0.195424i
\(266\) −8.54765 + 4.37827i −0.524090 + 0.268449i
\(267\) −8.27975 + 9.76442i −0.506713 + 0.597573i
\(268\) −2.05078 + 8.98503i −0.125271 + 0.548848i
\(269\) 26.3800 + 3.97615i 1.60842 + 0.242430i 0.890930 0.454141i \(-0.150054\pi\)
0.717488 + 0.696571i \(0.245292\pi\)
\(270\) 8.97853 + 0.139315i 0.546416 + 0.00847843i
\(271\) 16.6334 17.9265i 1.01041 1.08896i 0.0143791 0.999897i \(-0.495423\pi\)
0.996026 0.0890613i \(-0.0283867\pi\)
\(272\) −29.3462 + 9.05210i −1.77937 + 0.548864i
\(273\) −16.7924 + 24.3397i −1.01632 + 1.47310i
\(274\) −21.8905 6.75233i −1.32246 0.407923i
\(275\) −6.34943 + 3.66584i −0.382885 + 0.221059i
\(276\) −3.56165 5.57760i −0.214386 0.335732i
\(277\) 0.302824 + 0.0934090i 0.0181950 + 0.00561240i 0.303839 0.952723i \(-0.401731\pi\)
−0.285644 + 0.958336i \(0.592208\pi\)
\(278\) −25.1595 + 17.1535i −1.50897 + 1.02880i
\(279\) −11.0318 7.28787i −0.660455 0.436314i
\(280\) −0.164191 0.933117i −0.00981227 0.0557644i
\(281\) −7.08910 2.78227i −0.422900 0.165976i 0.144341 0.989528i \(-0.453894\pi\)
−0.567241 + 0.823552i \(0.691989\pi\)
\(282\) −0.786698 2.85259i −0.0468472 0.169869i
\(283\) 8.07702 6.44121i 0.480129 0.382890i −0.353306 0.935508i \(-0.614943\pi\)
0.833435 + 0.552618i \(0.186371\pi\)
\(284\) 12.1695 25.2703i 0.722129 1.49952i
\(285\) −1.68422 + 2.31723i −0.0997646 + 0.137261i
\(286\) −12.3207 + 18.0711i −0.728536 + 1.06857i
\(287\) −0.448291 1.76318i −0.0264618 0.104077i
\(288\) 8.13151 21.6420i 0.479154 1.27527i
\(289\) 2.41775 32.2627i 0.142221 1.89780i
\(290\) −11.1084 10.3071i −0.652307 0.605252i
\(291\) 10.3592 + 6.40419i 0.607267 + 0.375420i
\(292\) 5.49346 + 2.15602i 0.321480 + 0.126172i
\(293\) 0.722665 1.25169i 0.0422185 0.0731246i −0.844144 0.536117i \(-0.819891\pi\)
0.886363 + 0.462992i \(0.153224\pi\)
\(294\) −22.9160 + 5.69174i −1.33649 + 0.331949i
\(295\) −3.72978 6.46018i −0.217156 0.376126i
\(296\) −0.0394968 0.262044i −0.00229571 0.0152310i
\(297\) 0.535825 + 9.02759i 0.0310917 + 0.523834i
\(298\) −10.3134 + 3.18126i −0.597438 + 0.184285i
\(299\) 12.3903 5.96684i 0.716548 0.345071i
\(300\) −7.84428 10.4679i −0.452890 0.604366i
\(301\) −10.5517 25.0566i −0.608191 1.44424i
\(302\) 28.1310 + 2.10813i 1.61876 + 0.121309i
\(303\) 27.7163 12.3339i 1.59226 0.708566i
\(304\) 4.58984 + 6.73206i 0.263245 + 0.386110i
\(305\) −6.15457 2.41549i −0.352409 0.138311i
\(306\) 30.4920 + 27.4756i 1.74311 + 1.57067i
\(307\) −5.11126 + 4.07610i −0.291715 + 0.232635i −0.758401 0.651788i \(-0.774019\pi\)
0.466686 + 0.884423i \(0.345448\pi\)
\(308\) −8.00069 + 2.03419i −0.455881 + 0.115909i
\(309\) −17.7055 1.86423i −1.00723 0.106053i
\(310\) −0.569164 7.59496i −0.0323263 0.431365i
\(311\) 2.38851 + 10.4647i 0.135440 + 0.593400i 0.996404 + 0.0847341i \(0.0270041\pi\)
−0.860964 + 0.508666i \(0.830139\pi\)
\(312\) 4.00301 + 2.07844i 0.226626 + 0.117668i
\(313\) 3.51215i 0.198518i 0.995062 + 0.0992592i \(0.0316473\pi\)
−0.995062 + 0.0992592i \(0.968353\pi\)
\(314\) −6.97720 30.5691i −0.393746 1.72512i
\(315\) −5.33039 + 4.60359i −0.300333 + 0.259383i
\(316\) 7.00748 30.7018i 0.394202 1.72711i
\(317\) 23.1492 + 5.28366i 1.30019 + 0.296760i 0.815923 0.578161i \(-0.196229\pi\)
0.484266 + 0.874921i \(0.339087\pi\)
\(318\) −1.32519 + 12.5859i −0.0743129 + 0.705784i
\(319\) 9.51532 11.9318i 0.532756 0.668054i
\(320\) 5.31251 1.63869i 0.296978 0.0916056i
\(321\) 8.44124 + 7.15776i 0.471144 + 0.399507i
\(322\) 10.5698 + 2.97794i 0.589031 + 0.165954i
\(323\) −12.7656 + 2.91367i −0.710298 + 0.162121i
\(324\) −15.8778 + 2.86926i −0.882103 + 0.159404i
\(325\) 23.5411 13.5915i 1.30583 0.753920i
\(326\) 6.61389 21.4417i 0.366309 1.18755i
\(327\) 17.2241 2.06804i 0.952493 0.114363i
\(328\) −0.258316 + 0.101382i −0.0142631 + 0.00559786i
\(329\) 1.94921 + 1.25992i 0.107464 + 0.0694617i
\(330\) −3.92370 + 3.42676i −0.215993 + 0.188637i
\(331\) 2.39129 + 10.4769i 0.131437 + 0.575863i 0.997158 + 0.0753366i \(0.0240031\pi\)
−0.865721 + 0.500527i \(0.833140\pi\)
\(332\) 3.45549 8.80444i 0.189645 0.483207i
\(333\) −1.52211 + 1.25060i −0.0834112 + 0.0685327i
\(334\) −37.6257 + 14.7670i −2.05878 + 0.808013i
\(335\) −3.76897 2.56964i −0.205921 0.140395i
\(336\) 7.21558 + 18.6881i 0.393642 + 1.01952i
\(337\) −9.32594 + 6.35832i −0.508016 + 0.346360i −0.790048 0.613046i \(-0.789944\pi\)
0.282031 + 0.959405i \(0.408992\pi\)
\(338\) 31.4182 46.0820i 1.70892 2.50653i
\(339\) −9.36238 7.93884i −0.508495 0.431179i
\(340\) −0.835174 + 11.1446i −0.0452936 + 0.604402i
\(341\) 7.58475 1.14322i 0.410737 0.0619087i
\(342\) 4.58118 9.87908i 0.247722 0.534199i
\(343\) 10.4492 15.2910i 0.564203 0.825636i
\(344\) −3.59142 + 2.07350i −0.193636 + 0.111796i
\(345\) 3.21390 0.632422i 0.173031 0.0340485i
\(346\) 3.93773 + 8.17677i 0.211694 + 0.439586i
\(347\) 23.5602 + 5.37746i 1.26478 + 0.288677i 0.801746 0.597665i \(-0.203905\pi\)
0.463031 + 0.886342i \(0.346762\pi\)
\(348\) 23.1603 + 14.3180i 1.24152 + 0.767526i
\(349\) 13.0982 0.981576i 0.701132 0.0525426i 0.280606 0.959823i \(-0.409465\pi\)
0.420526 + 0.907281i \(0.361846\pi\)
\(350\) 21.2740 + 4.30853i 1.13714 + 0.230301i
\(351\) −1.98663 33.4707i −0.106038 1.78653i
\(352\) 4.90008 + 12.4852i 0.261175 + 0.665464i
\(353\) −18.1499 + 12.3744i −0.966023 + 0.658623i −0.940049 0.341040i \(-0.889221\pi\)
−0.0259736 + 0.999663i \(0.508269\pi\)
\(354\) 18.6530 + 21.3581i 0.991398 + 1.13517i
\(355\) 9.44257 + 10.1767i 0.501160 + 0.540122i
\(356\) 13.1031 1.97498i 0.694465 0.104674i
\(357\) −32.1929 0.177973i −1.70383 0.00941932i
\(358\) −12.8803 1.94139i −0.680743 0.102605i
\(359\) −8.57198 12.5728i −0.452412 0.663566i 0.530491 0.847690i \(-0.322007\pi\)
−0.982903 + 0.184124i \(0.941055\pi\)
\(360\) 0.798102 + 0.719149i 0.0420637 + 0.0379025i
\(361\) −7.76302 13.4460i −0.408580 0.707682i
\(362\) 20.6762 1.08672
\(363\) 9.83333 + 9.69090i 0.516116 + 0.508640i
\(364\) 29.6633 7.54196i 1.55478 0.395306i
\(365\) −1.98675 + 2.14121i −0.103992 + 0.112076i
\(366\) 24.7285 + 4.49230i 1.29258 + 0.234816i
\(367\) 13.0498 5.12168i 0.681195 0.267349i 0.000590145 1.00000i \(-0.499812\pi\)
0.680605 + 0.732650i \(0.261717\pi\)
\(368\) 1.38856 9.21249i 0.0723837 0.480234i
\(369\) 1.63141 + 1.26251i 0.0849276 + 0.0657236i
\(370\) −1.10634 0.252516i −0.0575160 0.0131277i
\(371\) −5.79156 8.06163i −0.300683 0.418539i
\(372\) 3.63834 + 13.1928i 0.188639 + 0.684013i
\(373\) −6.65542 11.5275i −0.344605 0.596873i 0.640677 0.767810i \(-0.278654\pi\)
−0.985282 + 0.170937i \(0.945320\pi\)
\(374\) −23.8117 −1.23127
\(375\) 13.6497 3.76435i 0.704866 0.194390i
\(376\) 0.153604 0.318962i 0.00792153 0.0164492i
\(377\) −35.2790 + 44.2385i −1.81696 + 2.27840i
\(378\) 16.5028 21.0830i 0.848813 1.08439i
\(379\) 2.64629 + 3.31834i 0.135931 + 0.170452i 0.845138 0.534548i \(-0.179518\pi\)
−0.709207 + 0.705000i \(0.750947\pi\)
\(380\) 2.89074 0.659791i 0.148292 0.0338466i
\(381\) 0.623602 0.544621i 0.0319481 0.0279018i
\(382\) 30.4096 + 14.6445i 1.55589 + 0.749278i
\(383\) −13.9870 2.10820i −0.714703 0.107724i −0.218382 0.975863i \(-0.570078\pi\)
−0.496321 + 0.868139i \(0.665316\pi\)
\(384\) 4.89829 2.63471i 0.249965 0.134452i
\(385\) 0.509515 4.05412i 0.0259673 0.206617i
\(386\) 1.41770 2.94388i 0.0721589 0.149839i
\(387\) 26.9198 + 15.0228i 1.36841 + 0.763654i
\(388\) −3.71567 12.0459i −0.188635 0.611538i
\(389\) 7.37297 + 0.552528i 0.373824 + 0.0280143i 0.260318 0.965523i \(-0.416173\pi\)
0.113507 + 0.993537i \(0.463792\pi\)
\(390\) 14.5475 12.7050i 0.736643 0.643345i
\(391\) 12.9662 + 7.48604i 0.655729 + 0.378585i
\(392\) −2.51292 1.29056i −0.126921 0.0651832i
\(393\) −1.30194 + 0.831369i −0.0656740 + 0.0419370i
\(394\) 0.739182 + 0.926905i 0.0372395 + 0.0466968i
\(395\) 12.8785 + 8.78045i 0.647990 + 0.441792i
\(396\) 5.72882 7.40274i 0.287884 0.372002i
\(397\) −6.42399 0.481412i −0.322411 0.0241614i −0.0874584 0.996168i \(-0.527874\pi\)
−0.234953 + 0.972007i \(0.575494\pi\)
\(398\) −1.80953 24.1465i −0.0907037 1.21036i
\(399\) 2.47242 + 8.17558i 0.123776 + 0.409291i
\(400\) 1.37618 18.3639i 0.0688092 0.918195i
\(401\) −0.386216 + 2.56237i −0.0192867 + 0.127959i −0.996402 0.0847506i \(-0.972991\pi\)
0.977116 + 0.212709i \(0.0682288\pi\)
\(402\) 15.9437 + 6.81817i 0.795201 + 0.340059i
\(403\) −28.1212 + 4.23859i −1.40082 + 0.211139i
\(404\) −30.0053 9.25542i −1.49282 0.460475i
\(405\) 1.54918 7.83449i 0.0769793 0.389299i
\(406\) −44.4987 + 7.82996i −2.20843 + 0.388594i
\(407\) 0.170335 1.13010i 0.00844320 0.0560170i
\(408\) 0.585388 + 4.87552i 0.0289810 + 0.241374i
\(409\) −16.4831 + 3.76217i −0.815038 + 0.186027i −0.609668 0.792657i \(-0.708697\pi\)
−0.205370 + 0.978684i \(0.565840\pi\)
\(410\) 1.18830i 0.0586858i
\(411\) −9.38843 + 18.0819i −0.463097 + 0.891912i
\(412\) 12.5339 + 13.5084i 0.617502 + 0.665509i
\(413\) −22.0680 2.77347i −1.08589 0.136473i
\(414\) −11.5233 + 4.71769i −0.566337 + 0.231862i
\(415\) 3.43175 + 3.18420i 0.168458 + 0.156306i
\(416\) −18.1675 46.2902i −0.890737 2.26956i
\(417\) 11.0106 + 24.7425i 0.539192 + 1.21165i
\(418\) 1.86211 + 6.03682i 0.0910788 + 0.295270i
\(419\) −0.779193 0.722986i −0.0380661 0.0353202i 0.660910 0.750465i \(-0.270170\pi\)
−0.698976 + 0.715145i \(0.746361\pi\)
\(420\) 7.28999 + 0.0403014i 0.355715 + 0.00196651i
\(421\) −2.48803 + 2.30856i −0.121259 + 0.112512i −0.738472 0.674284i \(-0.764452\pi\)
0.617213 + 0.786796i \(0.288262\pi\)
\(422\) 26.1394 + 15.0916i 1.27244 + 0.734646i
\(423\) −2.62121 + 0.234935i −0.127448 + 0.0114229i
\(424\) −1.10991 + 1.02984i −0.0539018 + 0.0500135i
\(425\) 26.6635 + 12.8405i 1.29337 + 0.622855i
\(426\) −42.6887 31.0272i −2.06827 1.50327i
\(427\) −16.8248 + 10.2732i −0.814210 + 0.497155i
\(428\) −1.70735 11.3275i −0.0825279 0.547537i
\(429\) 13.8545 + 13.6538i 0.668901 + 0.659213i
\(430\) 2.64673 + 17.5599i 0.127636 + 0.846812i
\(431\) −7.67820 + 0.575402i −0.369846 + 0.0277161i −0.258357 0.966050i \(-0.583181\pi\)
−0.111489 + 0.993766i \(0.535562\pi\)
\(432\) −19.4932 11.6613i −0.937866 0.561056i
\(433\) −1.87440 3.89223i −0.0900779 0.187049i 0.851063 0.525064i \(-0.175959\pi\)
−0.941141 + 0.338015i \(0.890244\pi\)
\(434\) −19.0716 12.3274i −0.915464 0.591732i
\(435\) −10.7850 + 8.08190i −0.517102 + 0.387497i
\(436\) −14.8360 10.1150i −0.710513 0.484420i
\(437\) 0.883909 3.87266i 0.0422831 0.185254i
\(438\) 5.83878 9.44461i 0.278988 0.451281i
\(439\) 22.6287 18.0458i 1.08001 0.861279i 0.0891289 0.996020i \(-0.471592\pi\)
0.990881 + 0.134741i \(0.0430203\pi\)
\(440\) −0.623250 −0.0297123
\(441\) 1.33770 + 20.9574i 0.0637001 + 0.997969i
\(442\) 88.2841 4.19925
\(443\) −2.73430 + 2.18053i −0.129910 + 0.103600i −0.686289 0.727329i \(-0.740762\pi\)
0.556379 + 0.830929i \(0.312190\pi\)
\(444\) 2.03813 + 0.0613765i 0.0967254 + 0.00291280i
\(445\) −1.45947 + 6.39435i −0.0691854 + 0.303121i
\(446\) 2.08286 + 1.42007i 0.0986261 + 0.0672422i
\(447\) 1.14428 + 9.53040i 0.0541227 + 0.450772i
\(448\) 5.67498 15.5746i 0.268118 0.735831i
\(449\) 5.95581 + 12.3674i 0.281072 + 0.583652i 0.992934 0.118667i \(-0.0378622\pi\)
−0.711862 + 0.702319i \(0.752148\pi\)
\(450\) −22.0167 + 11.0012i −1.03788 + 0.518602i
\(451\) −1.19340 + 0.0894331i −0.0561951 + 0.00421124i
\(452\) 1.89366 + 12.5636i 0.0890704 + 0.590943i
\(453\) 6.31656 24.2808i 0.296778 1.14081i
\(454\) 1.11901 + 7.42412i 0.0525175 + 0.348431i
\(455\) −1.88908 + 15.0311i −0.0885614 + 0.704667i
\(456\) 1.19028 0.529684i 0.0557401 0.0248047i
\(457\) 11.9482 + 5.75396i 0.558914 + 0.269159i 0.691942 0.721954i \(-0.256756\pi\)
−0.133028 + 0.991112i \(0.542470\pi\)
\(458\) 28.6680 26.6000i 1.33957 1.24294i
\(459\) 28.8896 22.3143i 1.34845 1.04154i
\(460\) −2.93616 1.69519i −0.136899 0.0790387i
\(461\) 0.137904 0.127956i 0.00642283 0.00595951i −0.676955 0.736025i \(-0.736701\pi\)
0.683378 + 0.730065i \(0.260510\pi\)
\(462\) 1.07510 + 15.4953i 0.0500183 + 0.720905i
\(463\) 0.230087 + 0.213490i 0.0106931 + 0.00992172i 0.685501 0.728072i \(-0.259583\pi\)
−0.674808 + 0.737993i \(0.735774\pi\)
\(464\) 11.2988 + 36.6298i 0.524534 + 1.70050i
\(465\) −6.73642 0.709287i −0.312394 0.0328924i
\(466\) 14.2905 + 36.4117i 0.661996 + 1.68674i
\(467\) −12.9114 11.9800i −0.597468 0.554369i 0.322397 0.946604i \(-0.395511\pi\)
−0.919865 + 0.392236i \(0.871702\pi\)
\(468\) −21.2402 + 27.4464i −0.981827 + 1.26871i
\(469\) −12.8943 + 4.32712i −0.595402 + 0.199808i
\(470\) −1.03113 1.11129i −0.0475624 0.0512601i
\(471\) −27.8585 + 1.24596i −1.28365 + 0.0574109i
\(472\) 3.39256i 0.156155i
\(473\) −17.4361 + 3.97968i −0.801713 + 0.182986i
\(474\) −54.4796 23.2976i −2.50233 1.07010i
\(475\) 1.17023 7.76398i 0.0536939 0.356236i
\(476\) 24.9765 + 22.0577i 1.14479 + 1.01101i
\(477\) 10.8026 + 3.16032i 0.494618 + 0.144701i
\(478\) −19.1076 5.89393i −0.873963 0.269582i
\(479\) −5.51048 + 0.830572i −0.251780 + 0.0379498i −0.273720 0.961810i \(-0.588254\pi\)
0.0219393 + 0.999759i \(0.493016\pi\)
\(480\) −1.41196 11.7598i −0.0644470 0.536760i
\(481\) −0.631535 + 4.18996i −0.0287955 + 0.191046i
\(482\) −3.28845 + 43.8813i −0.149785 + 1.99874i
\(483\) 4.28606 8.77566i 0.195022 0.399306i
\(484\) −1.06790 14.2502i −0.0485411 0.647736i
\(485\) 6.22200 + 0.466274i 0.282526 + 0.0211724i
\(486\) −0.0280933 + 30.3586i −0.00127434 + 1.37709i
\(487\) −14.0728 9.59464i −0.637698 0.434775i 0.200836 0.979625i \(-0.435634\pi\)
−0.838533 + 0.544850i \(0.816587\pi\)
\(488\) 1.87478 + 2.35090i 0.0848673 + 0.106420i
\(489\) −17.7111 9.19593i −0.800924 0.415855i
\(490\) −9.07573 + 7.99787i −0.410000 + 0.361307i
\(491\) −16.6726 9.62592i −0.752423 0.434412i 0.0741458 0.997247i \(-0.476377\pi\)
−0.826569 + 0.562836i \(0.809710\pi\)
\(492\) −0.412251 2.09502i −0.0185857 0.0944506i
\(493\) −61.4302 4.60355i −2.76668 0.207334i
\(494\) −6.90396 22.3821i −0.310624 1.00702i
\(495\) 2.37484 + 3.97816i 0.106741 + 0.178805i
\(496\) −8.35930 + 17.3583i −0.375343 + 0.779409i
\(497\) 41.1884 4.10669i 1.84755 0.184210i
\(498\) −15.1370 9.35790i −0.678306 0.419337i
\(499\) 5.73788 + 0.864846i 0.256863 + 0.0387158i 0.276211 0.961097i \(-0.410921\pi\)
−0.0193484 + 0.999813i \(0.506159\pi\)
\(500\) −13.2043 6.35887i −0.590515 0.284377i
\(501\) 6.94064 + 35.2716i 0.310085 + 1.57582i
\(502\) 7.41543 1.69252i 0.330967 0.0755410i
\(503\) 15.1154 + 18.9541i 0.673964 + 0.845124i 0.994783 0.102017i \(-0.0325296\pi\)
−0.320819 + 0.947141i \(0.603958\pi\)
\(504\) 3.14628 0.601068i 0.140147 0.0267737i
\(505\) 9.69024 12.1512i 0.431210 0.540720i
\(506\) 3.13423 6.50829i 0.139333 0.289329i
\(507\) −35.3295 34.8178i −1.56904 1.54631i
\(508\) −0.856974 −0.0380221
\(509\) −17.8367 30.8941i −0.790598 1.36936i −0.925597 0.378510i \(-0.876437\pi\)
0.135000 0.990846i \(-0.456897\pi\)
\(510\) 20.3505 + 5.29408i 0.901133 + 0.234426i
\(511\) 1.50927 + 8.57740i 0.0667664 + 0.379442i
\(512\) −29.4040 6.71127i −1.29949 0.296599i
\(513\) −7.91641 5.57917i −0.349518 0.246326i
\(514\) −2.35787 + 15.6435i −0.104001 + 0.690004i
\(515\) −8.49041 + 3.33224i −0.374132 + 0.146836i
\(516\) −10.7583 30.0405i −0.473606 1.32246i
\(517\) 1.03846 1.11920i 0.0456715 0.0492222i
\(518\) −2.59270 + 2.17396i −0.113917 + 0.0955184i
\(519\) 7.78102 2.14588i 0.341549 0.0941935i
\(520\) 2.31076 0.101334
\(521\) 0.859382 + 1.48849i 0.0376502 + 0.0652121i 0.884236 0.467039i \(-0.154679\pi\)
−0.846586 + 0.532252i \(0.821346\pi\)
\(522\) 34.2949 38.0600i 1.50105 1.66584i
\(523\) 6.70194 + 9.82993i 0.293055 + 0.429833i 0.944325 0.329013i \(-0.106716\pi\)
−0.651270 + 0.758846i \(0.725764\pi\)
\(524\) 1.58104 + 0.238303i 0.0690681 + 0.0104103i
\(525\) 7.15199 17.9309i 0.312138 0.782567i
\(526\) 21.2770 3.20700i 0.927723 0.139832i
\(527\) −21.0592 22.6964i −0.917354 0.988673i
\(528\) 12.9299 2.54430i 0.562702 0.110727i
\(529\) 15.2507 10.3977i 0.663074 0.452076i
\(530\) 2.36872 + 6.03541i 0.102891 + 0.262161i
\(531\) 21.6545 12.9271i 0.939726 0.560988i
\(532\) 3.63895 8.05707i 0.157768 0.349318i
\(533\) 4.42466 0.331582i 0.191653 0.0143624i
\(534\) 0.750480 24.9212i 0.0324764 1.07845i
\(535\) 5.52785 + 1.26169i 0.238990 + 0.0545478i
\(536\) 0.900130 + 1.86914i 0.0388797 + 0.0807345i
\(537\) −3.74631 + 10.9622i −0.161665 + 0.473054i
\(538\) −44.9948 + 25.9778i −1.93986 + 1.11998i
\(539\) −8.71528 8.51278i −0.375394 0.366671i
\(540\) −6.54196 + 5.05300i −0.281521 + 0.217447i
\(541\) −38.9056 + 5.86407i −1.67268 + 0.252116i −0.915858 0.401502i \(-0.868488\pi\)
−0.756824 + 0.653619i \(0.773250\pi\)
\(542\) −3.55906 + 47.4924i −0.152875 + 2.03997i
\(543\) 3.28678 18.0926i 0.141049 0.776428i
\(544\) 30.4975 44.7316i 1.30757 1.91785i
\(545\) 7.34320 5.00651i 0.314548 0.214455i
\(546\) −3.98605 57.4503i −0.170587 2.45864i
\(547\) −30.0721 20.5028i −1.28579 0.876637i −0.289050 0.957314i \(-0.593340\pi\)
−0.996740 + 0.0806766i \(0.974292\pi\)
\(548\) 19.6305 7.70440i 0.838573 0.329116i
\(549\) 7.86194 20.9245i 0.335539 0.893037i
\(550\) 5.21652 13.2915i 0.222433 0.566751i
\(551\) 3.63683 + 15.9340i 0.154934 + 0.678811i
\(552\) −1.40965 0.481744i −0.0599986 0.0205044i
\(553\) 44.0596 14.7858i 1.87360 0.628754i
\(554\) −0.574509 + 0.225478i −0.0244085 + 0.00957965i
\(555\) −0.396833 + 0.927961i −0.0168446 + 0.0393897i
\(556\) 8.26240 26.7860i 0.350404 1.13598i
\(557\) −29.7860 + 17.1969i −1.26207 + 0.728658i −0.973475 0.228793i \(-0.926522\pi\)
−0.288597 + 0.957451i \(0.593189\pi\)
\(558\) 25.6465 2.29866i 1.08570 0.0973100i
\(559\) 64.6461 14.7551i 2.73424 0.624072i
\(560\) 7.69262 + 6.79366i 0.325073 + 0.287085i
\(561\) −3.78522 + 20.8363i −0.159812 + 0.879710i
\(562\) 14.1724 4.37160i 0.597826 0.184405i
\(563\) −24.4111 + 30.6105i −1.02880 + 1.29008i −0.0726065 + 0.997361i \(0.523132\pi\)
−0.956198 + 0.292720i \(0.905440\pi\)
\(564\) 2.20346 + 1.60153i 0.0927823 + 0.0674365i
\(565\) −6.13106 1.39938i −0.257936 0.0588722i
\(566\) −4.47701 + 19.6150i −0.188183 + 0.824482i
\(567\) −15.8252 17.7922i −0.664597 0.747202i
\(568\) −1.40494 6.15542i −0.0589498 0.258276i
\(569\) 0.0855691i 0.00358724i 0.999998 + 0.00179362i \(0.000570927\pi\)
−0.999998 + 0.00179362i \(0.999429\pi\)
\(570\) −0.249265 5.57333i −0.0104406 0.233441i
\(571\) 7.05267 + 30.8998i 0.295145 + 1.29312i 0.877262 + 0.480011i \(0.159367\pi\)
−0.582117 + 0.813105i \(0.697776\pi\)
\(572\) −1.50460 20.0775i −0.0629107 0.839485i
\(573\) 17.6487 24.2819i 0.737284 1.01439i
\(574\) 2.82352 + 2.14032i 0.117851 + 0.0893351i
\(575\) −7.01921 + 5.59763i −0.292721 + 0.233437i
\(576\) 5.80159 + 17.8780i 0.241733 + 0.744916i
\(577\) −30.3325 11.9046i −1.26276 0.495596i −0.362920 0.931820i \(-0.618220\pi\)
−0.899838 + 0.436225i \(0.856315\pi\)
\(578\) 35.4936 + 52.0596i 1.47634 + 2.16539i
\(579\) −2.35067 1.70852i −0.0976904 0.0710039i
\(580\) 13.9107 + 1.04246i 0.577610 + 0.0432858i
\(581\) 13.7471 2.41894i 0.570327 0.100354i
\(582\) −23.5494 + 2.82750i −0.976155 + 0.117204i
\(583\) −5.88306 + 2.83313i −0.243651 + 0.117336i
\(584\) 1.26941 0.391562i 0.0525287 0.0162030i
\(585\) −8.80497 14.7494i −0.364041 0.609814i
\(586\) 0.419522 + 2.78335i 0.0173303 + 0.114979i
\(587\) −13.2493 22.9484i −0.546856 0.947182i −0.998488 0.0549773i \(-0.982491\pi\)
0.451632 0.892204i \(-0.350842\pi\)
\(588\) 13.2262 17.2492i 0.545440 0.711344i
\(589\) −4.10722 + 7.11391i −0.169235 + 0.293124i
\(590\) 13.5233 + 5.30751i 0.556746 + 0.218507i
\(591\) 0.928589 0.499474i 0.0381971 0.0205456i
\(592\) 2.10430 + 1.95250i 0.0864860 + 0.0802473i
\(593\) 1.25997 16.8131i 0.0517407 0.690432i −0.909673 0.415325i \(-0.863668\pi\)
0.961414 0.275107i \(-0.0887131\pi\)
\(594\) −11.7776 13.0950i −0.483241 0.537293i
\(595\) −14.6795 + 7.51911i −0.601799 + 0.308254i
\(596\) 5.59681 8.20901i 0.229254 0.336254i
\(597\) −21.4170 2.25503i −0.876540 0.0922920i
\(598\) −11.6205 + 24.1301i −0.475196 + 0.986755i
\(599\) 0.604892 0.482386i 0.0247152 0.0197097i −0.611054 0.791589i \(-0.709254\pi\)
0.635770 + 0.771879i \(0.280683\pi\)
\(600\) −2.84972 0.741343i −0.116340 0.0302652i
\(601\) −10.4970 4.11976i −0.428181 0.168049i 0.141457 0.989944i \(-0.454821\pi\)
−0.569638 + 0.821896i \(0.692917\pi\)
\(602\) 46.4912 + 25.3393i 1.89484 + 1.03275i
\(603\) 8.50071 12.8677i 0.346176 0.524012i
\(604\) −21.4563 + 14.6287i −0.873045 + 0.595232i
\(605\) 6.75882 + 2.08482i 0.274785 + 0.0847599i
\(606\) −27.2249 + 52.4344i −1.10594 + 2.13000i
\(607\) −2.26218 + 1.30607i −0.0918189 + 0.0530117i −0.545206 0.838302i \(-0.683549\pi\)
0.453387 + 0.891314i \(0.350215\pi\)
\(608\) −13.7255 4.23375i −0.556641 0.171701i
\(609\) −0.222145 + 40.1831i −0.00900178 + 1.62830i
\(610\) 12.3041 3.79531i 0.498178 0.153668i
\(611\) −3.85020 + 4.14953i −0.155763 + 0.167872i
\(612\) −37.7153 2.27359i −1.52455 0.0919043i
\(613\) 6.24008 + 0.940540i 0.252034 + 0.0379881i 0.273844 0.961774i \(-0.411705\pi\)
−0.0218099 + 0.999762i \(0.506943\pi\)
\(614\) 2.83312 12.4127i 0.114335 0.500936i
\(615\) 1.03982 + 0.188898i 0.0419294 + 0.00761709i
\(616\) −1.12257 + 1.48090i −0.0452298 + 0.0596674i
\(617\) 0.219692 0.712222i 0.00884445 0.0286730i −0.951043 0.309058i \(-0.899986\pi\)
0.959887 + 0.280386i \(0.0904623\pi\)
\(618\) 29.2224 18.6604i 1.17550 0.750629i
\(619\) 14.9355 + 8.62299i 0.600307 + 0.346587i 0.769162 0.639054i \(-0.220674\pi\)
−0.168855 + 0.985641i \(0.554007\pi\)
\(620\) 4.76880 + 5.13954i 0.191520 + 0.206409i
\(621\) 2.29641 + 10.8333i 0.0921518 + 0.434727i
\(622\) −16.3436 13.0336i −0.655318 0.522599i
\(623\) 12.5649 + 14.9851i 0.503401 + 0.600365i
\(624\) −47.9389 + 9.43327i −1.91909 + 0.377633i
\(625\) −10.1227 + 9.39253i −0.404909 + 0.375701i
\(626\) −4.26463 5.34767i −0.170449 0.213736i
\(627\) 5.57851 0.669793i 0.222784 0.0267489i
\(628\) 22.5669 + 17.9965i 0.900517 + 0.718138i
\(629\) −4.15632 + 2.00158i −0.165723 + 0.0798081i
\(630\) 2.52626 13.4819i 0.100649 0.537134i
\(631\) −5.36500 2.58365i −0.213577 0.102853i 0.324037 0.946045i \(-0.394960\pi\)
−0.537614 + 0.843191i \(0.680674\pi\)
\(632\) −3.07574 6.38683i −0.122346 0.254055i
\(633\) 17.3611 20.4741i 0.690040 0.813773i
\(634\) −41.6632 + 20.0639i −1.65466 + 0.796840i
\(635\) 0.154966 0.394847i 0.00614963 0.0156690i
\(636\) −6.26999 9.81889i −0.248621 0.389344i
\(637\) 32.3128 + 31.5620i 1.28028 + 1.25053i
\(638\) 29.7216i 1.17669i
\(639\) −33.9363 + 32.4223i −1.34250 + 1.28261i
\(640\) 1.60515 2.35433i 0.0634492 0.0930629i
\(641\) 28.5268 30.7445i 1.12674 1.21434i 0.152624 0.988284i \(-0.451228\pi\)
0.974115 0.226052i \(-0.0725819\pi\)
\(642\) −21.5441 0.648782i −0.850279 0.0256054i
\(643\) 1.25823 + 1.84548i 0.0496197 + 0.0727787i 0.850247 0.526384i \(-0.176453\pi\)
−0.800627 + 0.599163i \(0.795500\pi\)
\(644\) −9.31644 + 3.92330i −0.367119 + 0.154600i
\(645\) 15.7864 + 0.475395i 0.621591 + 0.0187187i
\(646\) 15.8993 19.9371i 0.625549 0.784413i
\(647\) 1.04717 + 13.9735i 0.0411686 + 0.549357i 0.979212 + 0.202839i \(0.0650169\pi\)
−0.938043 + 0.346518i \(0.887364\pi\)
\(648\) −2.39170 + 2.73344i −0.0939549 + 0.107380i
\(649\) −4.31252 + 13.9809i −0.169281 + 0.548797i
\(650\) −19.3408 + 49.2795i −0.758608 + 1.93290i
\(651\) −13.8187 + 14.7289i −0.541598 + 0.577271i
\(652\) 7.54643 + 19.2280i 0.295541 + 0.753027i
\(653\) 1.44601 0.108363i 0.0565867 0.00424058i −0.0464067 0.998923i \(-0.514777\pi\)
0.102993 + 0.994682i \(0.467158\pi\)
\(654\) −23.7146 + 24.0631i −0.927315 + 0.940944i
\(655\) −0.395695 + 0.685365i −0.0154611 + 0.0267794i
\(656\) 1.50297 2.60322i 0.0586811 0.101639i
\(657\) −7.33631 6.61057i −0.286217 0.257903i
\(658\) −4.49778 + 0.448451i −0.175342 + 0.0174824i
\(659\) 10.9166 + 35.3908i 0.425251 + 1.37863i 0.874414 + 0.485180i \(0.161246\pi\)
−0.449163 + 0.893450i \(0.648278\pi\)
\(660\) 0.857151 4.71832i 0.0333646 0.183660i
\(661\) −34.8585 27.7987i −1.35584 1.08125i −0.988510 0.151154i \(-0.951701\pi\)
−0.367328 0.930091i \(-0.619727\pi\)
\(662\) −16.3626 13.0488i −0.635951 0.507154i
\(663\) 14.0341 77.2527i 0.545038 3.00025i
\(664\) −0.627563 2.03451i −0.0243542 0.0789542i
\(665\) 3.05423 + 3.13358i 0.118438 + 0.121515i
\(666\) 0.799054 3.75242i 0.0309627 0.145403i
\(667\) 9.34405 16.1844i 0.361803 0.626661i
\(668\) 18.6042 32.2234i 0.719819 1.24676i
\(669\) 1.57373 1.59686i 0.0608438 0.0617380i
\(670\) 8.85891 0.663883i 0.342249 0.0256480i
\(671\) 4.73764 + 12.0713i 0.182894 + 0.466007i
\(672\) −30.4857 17.8264i −1.17601 0.687668i
\(673\) −13.0725 + 33.3082i −0.503909 + 1.28394i 0.422139 + 0.906531i \(0.361279\pi\)
−0.926047 + 0.377407i \(0.876816\pi\)
\(674\) 6.47929 21.0053i 0.249573 0.809095i
\(675\) 6.12670 + 21.0144i 0.235817 + 0.808846i
\(676\) 3.83680 + 51.1986i 0.147569 + 1.96918i
\(677\) −20.1394 + 25.2541i −0.774021 + 0.970592i −0.999994 0.00354159i \(-0.998873\pi\)
0.225972 + 0.974134i \(0.427444\pi\)
\(678\) 23.8951 + 0.719580i 0.917686 + 0.0276353i
\(679\) 12.3147 13.9443i 0.472596 0.535132i
\(680\) 1.41717 + 2.07860i 0.0543459 + 0.0797108i
\(681\) 6.67433 + 0.200991i 0.255761 + 0.00770201i
\(682\) −10.1606 + 10.9505i −0.389068 + 0.419315i
\(683\) −18.6778 + 27.3953i −0.714686 + 1.04825i 0.281377 + 0.959597i \(0.409209\pi\)
−0.996062 + 0.0886542i \(0.971743\pi\)
\(684\) 2.37299 + 9.73952i 0.0907336 + 0.372400i
\(685\) 10.4378i 0.398809i
\(686\) 2.65692 + 35.9703i 0.101442 + 1.37335i
\(687\) −18.7190 29.3143i −0.714176 1.11841i
\(688\) 16.4117 41.8162i 0.625689 1.59423i
\(689\) 21.8120 10.5041i 0.830972 0.400175i
\(690\) −4.12564 + 4.86542i −0.157060 + 0.185223i
\(691\) 0.499615 + 1.03746i 0.0190062 + 0.0394669i 0.910256 0.414046i \(-0.135885\pi\)
−0.891250 + 0.453513i \(0.850171\pi\)
\(692\) −7.52714 3.62488i −0.286139 0.137797i
\(693\) 13.7300 + 1.52244i 0.521559 + 0.0578327i
\(694\) −42.4028 + 20.4201i −1.60959 + 0.775138i
\(695\) 10.8475 + 8.65056i 0.411467 + 0.328134i
\(696\) 6.08562 0.730680i 0.230675 0.0276963i
\(697\) 3.01187 + 3.77676i 0.114083 + 0.143055i
\(698\) −18.7518 + 17.3991i −0.709764 + 0.658565i
\(699\) 34.1336 6.71670i 1.29105 0.254049i
\(700\) −17.7842 + 9.10940i −0.672178 + 0.344303i
\(701\) 16.9122 + 13.4870i 0.638765 + 0.509398i 0.888476 0.458922i \(-0.151764\pi\)
−0.249711 + 0.968320i \(0.580336\pi\)
\(702\) 43.6667 + 48.5509i 1.64809 + 1.83244i
\(703\) 0.832478 + 0.897197i 0.0313975 + 0.0338384i
\(704\) −9.44328 5.45208i −0.355907 0.205483i
\(705\) −1.13635 + 0.725630i −0.0427973 + 0.0273288i
\(706\) 12.6098 40.8801i 0.474577 1.53854i
\(707\) −11.4188 44.9112i −0.429446 1.68906i
\(708\) −25.6835 4.66577i −0.965244 0.175350i
\(709\) −7.03472 + 30.8211i −0.264194 + 1.15751i 0.652458 + 0.757825i \(0.273738\pi\)
−0.916652 + 0.399686i \(0.869119\pi\)
\(710\) −26.7345 4.02957i −1.00333 0.151227i
\(711\) −29.0469 + 43.9687i −1.08934 + 1.64896i
\(712\) 2.02888 2.18662i 0.0760356 0.0819469i
\(713\) 8.97541 2.76855i 0.336132 0.103683i
\(714\) 49.2337 38.8193i 1.84253 1.45277i
\(715\) 9.52271 + 2.93737i 0.356129 + 0.109851i
\(716\) 10.3844 5.99543i 0.388083 0.224060i
\(717\) −8.19490 + 15.7831i −0.306044 + 0.589432i
\(718\) 28.3184 + 8.73506i 1.05683 + 0.325990i
\(719\) −2.01606 + 1.37452i −0.0751862 + 0.0512611i −0.600330 0.799753i \(-0.704964\pi\)
0.525144 + 0.851014i \(0.324012\pi\)
\(720\) −11.6161 0.700253i −0.432907 0.0260969i
\(721\) −7.37486 + 26.1760i −0.274654 + 0.974845i
\(722\) 28.1469 + 11.0468i 1.04752 + 0.411121i
\(723\) 37.8754 + 9.85313i 1.40860 + 0.366442i
\(724\) −14.8810 + 11.8672i −0.553047 + 0.441040i
\(725\) 16.0274 33.2813i 0.595244 1.23604i
\(726\) −26.7396 2.81545i −0.992400 0.104491i
\(727\) 19.2695 28.2632i 0.714668 1.04823i −0.281396 0.959592i \(-0.590798\pi\)
0.996064 0.0886338i \(-0.0282501\pi\)
\(728\) 4.16205 5.49060i 0.154256 0.203495i
\(729\) 26.5607 + 4.85053i 0.983731 + 0.179649i
\(730\) 0.425108 5.67267i 0.0157340 0.209955i
\(731\) 52.9195 + 49.1021i 1.95730 + 1.81611i
\(732\) −20.3759 + 10.9599i −0.753115 + 0.405089i
\(733\) −32.7225 12.8426i −1.20863 0.474353i −0.326428 0.945222i \(-0.605845\pi\)
−0.882203 + 0.470869i \(0.843940\pi\)
\(734\) −13.6509 + 23.6441i −0.503866 + 0.872721i
\(735\) 5.55579 + 9.21307i 0.204928 + 0.339829i
\(736\) 8.21195 + 14.2235i 0.302696 + 0.524285i
\(737\) 1.33347 + 8.84699i 0.0491190 + 0.325883i
\(738\) −4.01701 + 0.0586116i −0.147868 + 0.00215752i
\(739\) −10.9124 + 3.36603i −0.401420 + 0.123822i −0.488890 0.872346i \(-0.662598\pi\)
0.0874701 + 0.996167i \(0.472122\pi\)
\(740\) 0.941185 0.453251i 0.0345987 0.0166618i
\(741\) −20.6829 + 2.48332i −0.759804 + 0.0912272i
\(742\) 18.6072 + 5.24241i 0.683092 + 0.192455i
\(743\) 9.03955 + 0.677421i 0.331629 + 0.0248522i 0.239504 0.970895i \(-0.423015\pi\)
0.0921248 + 0.995747i \(0.470634\pi\)
\(744\) 2.49194 + 1.81120i 0.0913589 + 0.0664019i
\(745\) 2.77020 + 4.06313i 0.101492 + 0.148862i
\(746\) 24.1310 + 9.47072i 0.883499 + 0.346748i
\(747\) −10.5949 + 11.7580i −0.387645 + 0.430203i
\(748\) 17.1376 13.6668i 0.626614 0.499708i
\(749\) 12.9545 10.8622i 0.473346 0.396897i
\(750\) −16.2124 + 22.3058i −0.591994 + 0.814493i
\(751\) 0.00678768 + 0.0905752i 0.000247686 + 0.00330514i 0.997326 0.0730774i \(-0.0232820\pi\)
−0.997079 + 0.0763826i \(0.975663\pi\)
\(752\) 0.853335 + 3.73870i 0.0311179 + 0.136337i
\(753\) −0.302244 6.75790i −0.0110144 0.246272i
\(754\) 110.196i 4.01310i
\(755\) −2.86016 12.5312i −0.104092 0.456057i
\(756\) 0.223334 + 24.6456i 0.00812257 + 0.896353i
\(757\) −4.42629 + 19.3929i −0.160876 + 0.704846i 0.828563 + 0.559896i \(0.189159\pi\)
−0.989439 + 0.144949i \(0.953698\pi\)
\(758\) −8.05859 1.83932i −0.292701 0.0668072i
\(759\) −5.19682 3.77718i −0.188633 0.137103i
\(760\) 0.416150 0.521835i 0.0150953 0.0189290i
\(761\) 3.31960 1.02396i 0.120335 0.0371186i −0.234003 0.972236i \(-0.575182\pi\)
0.354338 + 0.935117i \(0.384706\pi\)
\(762\) −0.288203 + 1.58646i −0.0104405 + 0.0574714i
\(763\) 1.33031 26.4657i 0.0481604 0.958124i
\(764\) −30.2916 + 6.91385i −1.09591 + 0.250134i
\(765\) 7.86758 16.9660i 0.284453 0.613408i
\(766\) 23.8568 13.7737i 0.861982 0.497665i
\(767\) 15.9891 51.8355i 0.577334 1.87167i
\(768\) −12.7927 + 29.9148i −0.461618 + 1.07946i
\(769\) −48.8998 + 19.1918i −1.76337 + 0.692073i −0.764499 + 0.644625i \(0.777013\pi\)
−0.998874 + 0.0474473i \(0.984891\pi\)
\(770\) 4.14692 + 6.79157i 0.149444 + 0.244751i
\(771\) 13.3139 + 4.55001i 0.479490 + 0.163865i
\(772\) 0.669313 + 2.93245i 0.0240891 + 0.105541i
\(773\) 17.4913 </