Properties

Label 441.2.z.a.4.19
Level $441$
Weight $2$
Character 441.4
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.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 4.19
Character \(\chi\) \(=\) 441.4
Dual form 441.2.z.a.331.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0806131 + 1.07571i) q^{2} +(-1.11699 - 1.32376i) q^{3} +(0.827015 + 0.124652i) q^{4} +(0.478314 - 2.09563i) q^{5} +(1.51402 - 1.09484i) q^{6} +(2.41117 - 1.08917i) q^{7} +(-0.680835 + 2.98293i) q^{8} +(-0.504687 + 2.95724i) q^{9} +O(q^{10})\) \(q+(-0.0806131 + 1.07571i) q^{2} +(-1.11699 - 1.32376i) q^{3} +(0.827015 + 0.124652i) q^{4} +(0.478314 - 2.09563i) q^{5} +(1.51402 - 1.09484i) q^{6} +(2.41117 - 1.08917i) q^{7} +(-0.680835 + 2.98293i) q^{8} +(-0.504687 + 2.95724i) q^{9} +(2.21572 + 0.683461i) q^{10} +(-1.38638 + 0.667648i) q^{11} +(-0.758754 - 1.23401i) q^{12} +(0.497307 - 6.63610i) q^{13} +(0.977251 + 2.68151i) q^{14} +(-3.30838 + 1.70761i) q^{15} +(-1.55548 - 0.479801i) q^{16} +(-1.49795 + 0.225779i) q^{17} +(-3.14044 - 0.781287i) q^{18} +(0.0797763 + 0.138177i) q^{19} +(0.656798 - 1.67349i) q^{20} +(-4.13503 - 1.97523i) q^{21} +(-0.606432 - 1.54516i) q^{22} +(5.13770 - 6.44248i) q^{23} +(4.70917 - 2.43063i) q^{24} +(0.341966 + 0.164682i) q^{25} +(7.09841 + 1.06991i) q^{26} +(4.47841 - 2.63511i) q^{27} +(2.12984 - 0.600198i) q^{28} +(0.203442 - 0.518361i) q^{29} +(-1.57019 - 3.69651i) q^{30} +(-1.25335 - 2.17087i) q^{31} +(-1.59411 + 4.06172i) q^{32} +(2.43238 + 1.08949i) q^{33} +(-0.122118 - 1.62955i) q^{34} +(-1.12919 - 5.57387i) q^{35} +(-0.786011 + 2.38277i) q^{36} +(-2.78152 + 7.08721i) q^{37} +(-0.155068 + 0.0746770i) q^{38} +(-9.34009 + 6.75411i) q^{39} +(5.92547 + 2.85355i) q^{40} +(-0.860152 - 0.798104i) q^{41} +(2.45810 - 4.28885i) q^{42} +(8.04708 - 7.46660i) q^{43} +(-1.22978 + 0.379338i) q^{44} +(5.95589 + 2.47213i) q^{45} +(6.51605 + 6.04601i) q^{46} +(-0.880695 + 11.7521i) q^{47} +(1.10230 + 2.59501i) q^{48} +(4.62744 - 5.25231i) q^{49} +(-0.204716 + 0.354579i) q^{50} +(1.97206 + 1.73073i) q^{51} +(1.23849 - 5.42616i) q^{52} +(-1.33427 - 3.39968i) q^{53} +(2.47359 + 5.02988i) q^{54} +(0.736015 + 3.22469i) q^{55} +(1.60730 + 7.93388i) q^{56} +(0.0938038 - 0.259946i) q^{57} +(0.541204 + 0.260630i) q^{58} +(-3.64584 + 3.38285i) q^{59} +(-2.94894 + 0.999825i) q^{60} +(-3.76498 + 0.567479i) q^{61} +(2.43626 - 1.17324i) q^{62} +(2.00404 + 7.68009i) q^{63} +(-7.17390 - 3.45477i) q^{64} +(-13.6689 - 4.21631i) q^{65} +(-1.36805 + 2.52870i) q^{66} +(3.53971 + 6.13096i) q^{67} -1.26697 q^{68} +(-14.2670 + 0.395061i) q^{69} +(6.08688 - 0.765353i) q^{70} +(2.11332 - 2.65002i) q^{71} +(-8.47765 - 3.51884i) q^{72} +(-0.118698 + 0.0809267i) q^{73} +(-7.39953 - 3.56342i) q^{74} +(-0.163971 - 0.636628i) q^{75} +(0.0487521 + 0.124218i) q^{76} +(-2.61562 + 3.11981i) q^{77} +(-6.51251 - 10.5917i) q^{78} +(2.14625 - 3.71742i) q^{79} +(-1.74949 + 3.03021i) q^{80} +(-8.49058 - 2.98496i) q^{81} +(0.927866 - 0.860934i) q^{82} +(-0.119263 - 1.59146i) q^{83} +(-3.17352 - 2.14898i) q^{84} +(-0.243339 + 3.24713i) q^{85} +(7.38318 + 9.25821i) q^{86} +(-0.913427 + 0.309693i) q^{87} +(-1.04765 - 4.59005i) q^{88} +(0.741635 + 9.89644i) q^{89} +(-3.13941 + 6.20750i) q^{90} +(-6.02872 - 16.5424i) q^{91} +(5.05203 - 4.68760i) q^{92} +(-1.47374 + 4.08397i) q^{93} +(-12.5708 - 1.89474i) q^{94} +(0.327725 - 0.101090i) q^{95} +(7.15735 - 2.42667i) q^{96} +(3.34735 + 5.79779i) q^{97} +(5.27692 + 5.40117i) q^{98} +(-1.27471 - 4.43683i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} + O(q^{10}) \) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0806131 + 1.07571i −0.0570021 + 0.760640i 0.893330 + 0.449401i \(0.148363\pi\)
−0.950332 + 0.311238i \(0.899256\pi\)
\(3\) −1.11699 1.32376i −0.644892 0.764274i
\(4\) 0.827015 + 0.124652i 0.413507 + 0.0623262i
\(5\) 0.478314 2.09563i 0.213908 0.937194i −0.747973 0.663729i \(-0.768973\pi\)
0.961882 0.273465i \(-0.0881699\pi\)
\(6\) 1.51402 1.09484i 0.618097 0.446965i
\(7\) 2.41117 1.08917i 0.911335 0.411666i
\(8\) −0.680835 + 2.98293i −0.240711 + 1.05463i
\(9\) −0.504687 + 2.95724i −0.168229 + 0.985748i
\(10\) 2.21572 + 0.683461i 0.700674 + 0.216129i
\(11\) −1.38638 + 0.667648i −0.418011 + 0.201303i −0.631053 0.775740i \(-0.717377\pi\)
0.213042 + 0.977043i \(0.431663\pi\)
\(12\) −0.758754 1.23401i −0.219033 0.356227i
\(13\) 0.497307 6.63610i 0.137928 1.84052i −0.315138 0.949046i \(-0.602051\pi\)
0.453066 0.891477i \(-0.350330\pi\)
\(14\) 0.977251 + 2.68151i 0.261181 + 0.716663i
\(15\) −3.30838 + 1.70761i −0.854221 + 0.440904i
\(16\) −1.55548 0.479801i −0.388869 0.119950i
\(17\) −1.49795 + 0.225779i −0.363305 + 0.0547595i −0.328158 0.944623i \(-0.606428\pi\)
−0.0351469 + 0.999382i \(0.511190\pi\)
\(18\) −3.14044 0.781287i −0.740210 0.184151i
\(19\) 0.0797763 + 0.138177i 0.0183019 + 0.0316999i 0.875031 0.484066i \(-0.160841\pi\)
−0.856729 + 0.515766i \(0.827507\pi\)
\(20\) 0.656798 1.67349i 0.146864 0.374205i
\(21\) −4.13503 1.97523i −0.902338 0.431030i
\(22\) −0.606432 1.54516i −0.129292 0.329430i
\(23\) 5.13770 6.44248i 1.07129 1.34335i 0.135500 0.990777i \(-0.456736\pi\)
0.935785 0.352572i \(-0.114693\pi\)
\(24\) 4.70917 2.43063i 0.961256 0.496150i
\(25\) 0.341966 + 0.164682i 0.0683931 + 0.0329364i
\(26\) 7.09841 + 1.06991i 1.39211 + 0.209827i
\(27\) 4.47841 2.63511i 0.861871 0.507128i
\(28\) 2.12984 0.600198i 0.402501 0.113427i
\(29\) 0.203442 0.518361i 0.0377781 0.0962571i −0.910740 0.412981i \(-0.864488\pi\)
0.948518 + 0.316724i \(0.102583\pi\)
\(30\) −1.57019 3.69651i −0.286677 0.674886i
\(31\) −1.25335 2.17087i −0.225109 0.389900i 0.731243 0.682117i \(-0.238940\pi\)
−0.956352 + 0.292217i \(0.905607\pi\)
\(32\) −1.59411 + 4.06172i −0.281801 + 0.718018i
\(33\) 2.43238 + 1.08949i 0.423423 + 0.189656i
\(34\) −0.122118 1.62955i −0.0209431 0.279466i
\(35\) −1.12919 5.57387i −0.190868 0.942156i
\(36\) −0.786011 + 2.38277i −0.131002 + 0.397129i
\(37\) −2.78152 + 7.08721i −0.457280 + 1.16513i 0.497407 + 0.867517i \(0.334285\pi\)
−0.954687 + 0.297612i \(0.903810\pi\)
\(38\) −0.155068 + 0.0746770i −0.0251554 + 0.0121142i
\(39\) −9.34009 + 6.75411i −1.49561 + 1.08152i
\(40\) 5.92547 + 2.85355i 0.936899 + 0.451187i
\(41\) −0.860152 0.798104i −0.134333 0.124643i 0.610145 0.792290i \(-0.291111\pi\)
−0.744478 + 0.667647i \(0.767302\pi\)
\(42\) 2.45810 4.28885i 0.379293 0.661784i
\(43\) 8.04708 7.46660i 1.22717 1.13865i 0.241420 0.970421i \(-0.422387\pi\)
0.985749 0.168226i \(-0.0538037\pi\)
\(44\) −1.22978 + 0.379338i −0.185397 + 0.0571874i
\(45\) 5.95589 + 2.47213i 0.887851 + 0.368523i
\(46\) 6.51605 + 6.04601i 0.960739 + 0.891436i
\(47\) −0.880695 + 11.7521i −0.128463 + 1.71421i 0.445458 + 0.895303i \(0.353041\pi\)
−0.573920 + 0.818911i \(0.694578\pi\)
\(48\) 1.10230 + 2.59501i 0.159104 + 0.374558i
\(49\) 4.62744 5.25231i 0.661063 0.750331i
\(50\) −0.204716 + 0.354579i −0.0289513 + 0.0501451i
\(51\) 1.97206 + 1.73073i 0.276144 + 0.242351i
\(52\) 1.23849 5.42616i 0.171747 0.752473i
\(53\) −1.33427 3.39968i −0.183277 0.466981i 0.809477 0.587152i \(-0.199751\pi\)
−0.992753 + 0.120171i \(0.961656\pi\)
\(54\) 2.47359 + 5.02988i 0.336613 + 0.684480i
\(55\) 0.736015 + 3.22469i 0.0992443 + 0.434818i
\(56\) 1.60730 + 7.93388i 0.214784 + 1.06021i
\(57\) 0.0938038 0.259946i 0.0124246 0.0344307i
\(58\) 0.541204 + 0.260630i 0.0710636 + 0.0342224i
\(59\) −3.64584 + 3.38285i −0.474648 + 0.440409i −0.880865 0.473367i \(-0.843038\pi\)
0.406217 + 0.913777i \(0.366848\pi\)
\(60\) −2.94894 + 0.999825i −0.380706 + 0.129077i
\(61\) −3.76498 + 0.567479i −0.482056 + 0.0726583i −0.385575 0.922677i \(-0.625997\pi\)
−0.0964812 + 0.995335i \(0.530759\pi\)
\(62\) 2.43626 1.17324i 0.309405 0.149002i
\(63\) 2.00404 + 7.68009i 0.252486 + 0.967601i
\(64\) −7.17390 3.45477i −0.896738 0.431846i
\(65\) −13.6689 4.21631i −1.69542 0.522969i
\(66\) −1.36805 + 2.52870i −0.168396 + 0.311261i
\(67\) 3.53971 + 6.13096i 0.432445 + 0.749016i 0.997083 0.0763220i \(-0.0243177\pi\)
−0.564638 + 0.825338i \(0.690984\pi\)
\(68\) −1.26697 −0.153642
\(69\) −14.2670 + 0.395061i −1.71755 + 0.0475598i
\(70\) 6.08688 0.765353i 0.727521 0.0914772i
\(71\) 2.11332 2.65002i 0.250805 0.314499i −0.640452 0.767998i \(-0.721253\pi\)
0.891257 + 0.453499i \(0.149824\pi\)
\(72\) −8.47765 3.51884i −0.999100 0.414699i
\(73\) −0.118698 + 0.0809267i −0.0138925 + 0.00947175i −0.570246 0.821474i \(-0.693152\pi\)
0.556354 + 0.830945i \(0.312200\pi\)
\(74\) −7.39953 3.56342i −0.860178 0.414240i
\(75\) −0.163971 0.636628i −0.0189338 0.0735115i
\(76\) 0.0487521 + 0.124218i 0.00559225 + 0.0142488i
\(77\) −2.61562 + 3.11981i −0.298078 + 0.355535i
\(78\) −6.51251 10.5917i −0.737397 1.19927i
\(79\) 2.14625 3.71742i 0.241473 0.418243i −0.719661 0.694325i \(-0.755703\pi\)
0.961134 + 0.276083i \(0.0890363\pi\)
\(80\) −1.74949 + 3.03021i −0.195599 + 0.338788i
\(81\) −8.49058 2.98496i −0.943398 0.331663i
\(82\) 0.927866 0.860934i 0.102466 0.0950742i
\(83\) −0.119263 1.59146i −0.0130908 0.174685i −0.999917 0.0128997i \(-0.995894\pi\)
0.986826 0.161785i \(-0.0517253\pi\)
\(84\) −3.17352 2.14898i −0.346259 0.234473i
\(85\) −0.243339 + 3.24713i −0.0263938 + 0.352201i
\(86\) 7.38318 + 9.25821i 0.796148 + 0.998338i
\(87\) −0.913427 + 0.309693i −0.0979296 + 0.0332026i
\(88\) −1.04765 4.59005i −0.111680 0.489301i
\(89\) 0.741635 + 9.89644i 0.0786132 + 1.04902i 0.887425 + 0.460952i \(0.152492\pi\)
−0.808812 + 0.588068i \(0.799889\pi\)
\(90\) −3.13941 + 6.20750i −0.330922 + 0.654328i
\(91\) −6.02872 16.5424i −0.631981 1.73411i
\(92\) 5.05203 4.68760i 0.526710 0.488716i
\(93\) −1.47374 + 4.08397i −0.152819 + 0.423488i
\(94\) −12.5708 1.89474i −1.29658 0.195427i
\(95\) 0.327725 0.101090i 0.0336239 0.0103716i
\(96\) 7.15735 2.42667i 0.730494 0.247671i
\(97\) 3.34735 + 5.79779i 0.339872 + 0.588676i 0.984408 0.175898i \(-0.0562828\pi\)
−0.644536 + 0.764574i \(0.722949\pi\)
\(98\) 5.27692 + 5.40117i 0.533049 + 0.545601i
\(99\) −1.27471 4.43683i −0.128113 0.445918i
\(100\) 0.262283 + 0.178821i 0.0262283 + 0.0178821i
\(101\) −2.15765 + 9.45328i −0.214694 + 0.940636i 0.746635 + 0.665234i \(0.231668\pi\)
−0.961329 + 0.275402i \(0.911189\pi\)
\(102\) −2.02073 + 1.98184i −0.200082 + 0.196232i
\(103\) −2.89800 + 12.6970i −0.285548 + 1.25107i 0.605016 + 0.796213i \(0.293167\pi\)
−0.890565 + 0.454856i \(0.849691\pi\)
\(104\) 19.4564 + 6.00152i 1.90786 + 0.588497i
\(105\) −6.11718 + 7.72072i −0.596976 + 0.753465i
\(106\) 3.76461 1.16123i 0.365652 0.112789i
\(107\) −0.876798 11.7001i −0.0847633 1.13109i −0.863707 0.503994i \(-0.831863\pi\)
0.778944 0.627093i \(-0.215756\pi\)
\(108\) 4.03219 1.62103i 0.387997 0.155984i
\(109\) −1.06139 + 14.1633i −0.101663 + 1.35660i 0.680143 + 0.733079i \(0.261917\pi\)
−0.781807 + 0.623521i \(0.785702\pi\)
\(110\) −3.52816 + 0.531784i −0.336397 + 0.0507036i
\(111\) 12.4887 4.23423i 1.18537 0.401896i
\(112\) −4.27310 + 0.537291i −0.403770 + 0.0507693i
\(113\) −15.8214 + 10.7868i −1.48835 + 1.01474i −0.499420 + 0.866360i \(0.666454\pi\)
−0.988930 + 0.148380i \(0.952594\pi\)
\(114\) 0.272064 + 0.121860i 0.0254811 + 0.0114133i
\(115\) −11.0436 13.8482i −1.02982 1.29136i
\(116\) 0.232864 0.403332i 0.0216209 0.0374485i
\(117\) 19.3736 + 4.81981i 1.79109 + 0.445591i
\(118\) −3.34505 4.19456i −0.307937 0.386141i
\(119\) −3.36589 + 2.17590i −0.308550 + 0.199465i
\(120\) −2.84124 11.0313i −0.259368 1.00701i
\(121\) −5.38208 + 6.74891i −0.489280 + 0.613538i
\(122\) −0.306935 4.09576i −0.0277886 0.370813i
\(123\) −0.0957222 + 2.03011i −0.00863098 + 0.183049i
\(124\) −0.765937 1.95158i −0.0687832 0.175257i
\(125\) 7.20971 9.04069i 0.644856 0.808623i
\(126\) −8.42308 + 1.53665i −0.750388 + 0.136895i
\(127\) 10.8443 + 13.5984i 0.962280 + 1.20666i 0.978385 + 0.206791i \(0.0663020\pi\)
−0.0161048 + 0.999870i \(0.505127\pi\)
\(128\) −0.0687147 + 0.119017i −0.00607358 + 0.0105198i
\(129\) −18.8725 2.31233i −1.66163 0.203589i
\(130\) 5.63741 14.3639i 0.494433 1.25980i
\(131\) −2.43726 10.6783i −0.212945 0.932971i −0.962554 0.271091i \(-0.912616\pi\)
0.749609 0.661881i \(-0.230241\pi\)
\(132\) 1.87581 + 1.20423i 0.163268 + 0.104814i
\(133\) 0.342851 + 0.246277i 0.0297289 + 0.0213549i
\(134\) −6.88047 + 3.31346i −0.594382 + 0.286239i
\(135\) −3.38014 10.6455i −0.290916 0.916219i
\(136\) 0.346370 4.62199i 0.0297010 0.396332i
\(137\) 2.17984 + 9.55049i 0.186236 + 0.815953i 0.978578 + 0.205876i \(0.0660044\pi\)
−0.792342 + 0.610077i \(0.791138\pi\)
\(138\) 0.725140 15.3790i 0.0617280 1.30915i
\(139\) −2.52841 2.34603i −0.214457 0.198987i 0.565628 0.824661i \(-0.308634\pi\)
−0.780085 + 0.625673i \(0.784824\pi\)
\(140\) −0.239062 4.75043i −0.0202045 0.401485i
\(141\) 16.5406 11.9611i 1.39297 1.00730i
\(142\) 2.68028 + 2.48694i 0.224924 + 0.208699i
\(143\) 3.74112 + 9.53221i 0.312848 + 0.797124i
\(144\) 2.20392 4.35778i 0.183660 0.363148i
\(145\) −0.988983 0.674277i −0.0821305 0.0559957i
\(146\) −0.0774848 0.134208i −0.00641269 0.0111071i
\(147\) −12.1216 0.258864i −0.999772 0.0213508i
\(148\) −3.18380 + 5.51450i −0.261707 + 0.453289i
\(149\) 2.37711 1.14476i 0.194740 0.0937820i −0.333972 0.942583i \(-0.608389\pi\)
0.528713 + 0.848801i \(0.322675\pi\)
\(150\) 0.698044 0.125064i 0.0569950 0.0102115i
\(151\) −12.8068 + 16.0592i −1.04220 + 1.30688i −0.0918267 + 0.995775i \(0.529271\pi\)
−0.950375 + 0.311105i \(0.899301\pi\)
\(152\) −0.466486 + 0.143892i −0.0378370 + 0.0116712i
\(153\) 0.0883097 4.54374i 0.00713942 0.367340i
\(154\) −3.14515 3.06514i −0.253443 0.246996i
\(155\) −5.14884 + 1.58821i −0.413565 + 0.127568i
\(156\) −8.56631 + 4.42149i −0.685854 + 0.354002i
\(157\) −7.88989 + 7.32075i −0.629682 + 0.584260i −0.929085 0.369867i \(-0.879403\pi\)
0.299403 + 0.954127i \(0.403213\pi\)
\(158\) 3.82584 + 2.60841i 0.304367 + 0.207514i
\(159\) −3.00999 + 5.56365i −0.238708 + 0.441226i
\(160\) 7.74938 + 5.28344i 0.612643 + 0.417693i
\(161\) 5.37093 21.1297i 0.423289 1.66525i
\(162\) 3.89540 8.89275i 0.306051 0.698681i
\(163\) 7.57388 7.02753i 0.593232 0.550439i −0.325388 0.945580i \(-0.605495\pi\)
0.918620 + 0.395142i \(0.129305\pi\)
\(164\) −0.611873 0.767264i −0.0477792 0.0599133i
\(165\) 3.44661 4.57624i 0.268318 0.356260i
\(166\) 1.72156 0.133619
\(167\) 6.80135 1.02514i 0.526305 0.0793277i 0.119485 0.992836i \(-0.461876\pi\)
0.406820 + 0.913508i \(0.366638\pi\)
\(168\) 8.70724 10.9897i 0.671778 0.847875i
\(169\) −30.9357 4.66281i −2.37967 0.358677i
\(170\) −3.47335 0.523523i −0.266394 0.0401524i
\(171\) −0.448884 + 0.166182i −0.0343270 + 0.0127083i
\(172\) 7.58579 5.17190i 0.578411 0.394354i
\(173\) 5.56170 + 14.1710i 0.422849 + 1.07740i 0.970587 + 0.240751i \(0.0773937\pi\)
−0.547738 + 0.836650i \(0.684511\pi\)
\(174\) −0.259505 1.00754i −0.0196730 0.0763818i
\(175\) 1.00390 + 0.0246185i 0.0758878 + 0.00186098i
\(176\) 2.47683 0.373322i 0.186698 0.0281402i
\(177\) 8.55044 + 1.04763i 0.642690 + 0.0787449i
\(178\) −10.7055 −0.802407
\(179\) 17.5418 2.64400i 1.31113 0.197622i 0.543988 0.839093i \(-0.316914\pi\)
0.767147 + 0.641471i \(0.221676\pi\)
\(180\) 4.61745 + 2.78690i 0.344165 + 0.207723i
\(181\) −2.78441 1.34090i −0.206963 0.0996683i 0.327531 0.944841i \(-0.393784\pi\)
−0.534494 + 0.845172i \(0.679498\pi\)
\(182\) 18.2807 5.15160i 1.35506 0.381862i
\(183\) 4.95663 + 4.35007i 0.366405 + 0.321566i
\(184\) 15.7195 + 19.7117i 1.15886 + 1.45316i
\(185\) 13.5217 + 9.21895i 0.994136 + 0.677791i
\(186\) −4.27435 1.91453i −0.313411 0.140380i
\(187\) 1.92599 1.31312i 0.140842 0.0960246i
\(188\) −2.19327 + 9.60935i −0.159961 + 0.700834i
\(189\) 7.92812 11.2314i 0.576686 0.816966i
\(190\) 0.0823240 + 0.360685i 0.00597241 + 0.0261668i
\(191\) −6.13218 5.68983i −0.443709 0.411702i 0.426420 0.904525i \(-0.359774\pi\)
−0.870129 + 0.492823i \(0.835965\pi\)
\(192\) 3.43986 + 13.3555i 0.248250 + 0.963848i
\(193\) −7.74282 + 2.38834i −0.557340 + 0.171917i −0.560613 0.828078i \(-0.689434\pi\)
0.00327261 + 0.999995i \(0.498958\pi\)
\(194\) −6.50656 + 3.13339i −0.467144 + 0.224965i
\(195\) 9.68662 + 22.8040i 0.693673 + 1.63303i
\(196\) 4.48167 3.76692i 0.320120 0.269066i
\(197\) −0.572330 −0.0407768 −0.0203884 0.999792i \(-0.506490\pi\)
−0.0203884 + 0.999792i \(0.506490\pi\)
\(198\) 4.87549 1.01354i 0.346486 0.0720295i
\(199\) −7.44006 6.90337i −0.527412 0.489367i 0.370932 0.928660i \(-0.379038\pi\)
−0.898344 + 0.439293i \(0.855229\pi\)
\(200\) −0.724057 + 0.907939i −0.0511986 + 0.0642010i
\(201\) 4.16212 11.5339i 0.293573 0.813541i
\(202\) −9.99502 3.08306i −0.703247 0.216923i
\(203\) −0.0740490 1.47143i −0.00519722 0.103274i
\(204\) 1.41518 + 1.67716i 0.0990828 + 0.117425i
\(205\) −2.08395 + 1.42082i −0.145550 + 0.0992341i
\(206\) −13.4246 4.14094i −0.935336 0.288513i
\(207\) 16.4590 + 18.4449i 1.14398 + 1.28201i
\(208\) −3.95756 + 10.0837i −0.274407 + 0.699178i
\(209\) −0.202854 0.138303i −0.0140317 0.00956665i
\(210\) −7.81210 7.20269i −0.539086 0.497033i
\(211\) 21.8787 14.9166i 1.50619 1.02690i 0.521368 0.853332i \(-0.325422\pi\)
0.984821 0.173571i \(-0.0555305\pi\)
\(212\) −0.679687 2.97790i −0.0466811 0.204523i
\(213\) −5.86854 + 0.162503i −0.402105 + 0.0111345i
\(214\) 12.6565 0.865181
\(215\) −11.7982 20.4351i −0.804631 1.39366i
\(216\) 4.81131 + 15.1529i 0.327368 + 1.03102i
\(217\) −5.38648 3.86922i −0.365658 0.262660i
\(218\) −15.1500 2.28350i −1.02609 0.154658i
\(219\) 0.239711 + 0.0667334i 0.0161982 + 0.00450943i
\(220\) 0.206730 + 2.75862i 0.0139377 + 0.185986i
\(221\) 0.753353 + 10.0528i 0.0506760 + 0.676225i
\(222\) 3.54804 + 13.7755i 0.238129 + 0.924551i
\(223\) 19.2056 + 2.89479i 1.28611 + 0.193849i 0.756275 0.654254i \(-0.227017\pi\)
0.529831 + 0.848103i \(0.322255\pi\)
\(224\) 0.580226 + 11.5297i 0.0387680 + 0.770363i
\(225\) −0.659590 + 0.928163i −0.0439727 + 0.0618775i
\(226\) −10.3281 17.8887i −0.687013 1.18994i
\(227\) 18.9092 1.25505 0.627524 0.778597i \(-0.284068\pi\)
0.627524 + 0.778597i \(0.284068\pi\)
\(228\) 0.109980 0.203286i 0.00728361 0.0134630i
\(229\) −1.57644 6.90685i −0.104174 0.456417i −0.999930 0.0118699i \(-0.996222\pi\)
0.895755 0.444548i \(-0.146636\pi\)
\(230\) 15.7869 10.7633i 1.04096 0.709713i
\(231\) 7.05150 0.0223216i 0.463955 0.00146865i
\(232\) 1.40772 + 0.959770i 0.0924216 + 0.0630120i
\(233\) 4.70568 11.9899i 0.308279 0.785482i −0.689827 0.723974i \(-0.742314\pi\)
0.998107 0.0615085i \(-0.0195911\pi\)
\(234\) −6.74647 + 20.4518i −0.441030 + 1.33697i
\(235\) 24.2067 + 7.46678i 1.57907 + 0.487079i
\(236\) −3.43685 + 2.34320i −0.223720 + 0.152530i
\(237\) −7.31831 + 1.31118i −0.475376 + 0.0851702i
\(238\) −2.06930 3.79611i −0.134133 0.246065i
\(239\) 13.1744 + 4.06377i 0.852183 + 0.262864i 0.689921 0.723884i \(-0.257645\pi\)
0.162261 + 0.986748i \(0.448121\pi\)
\(240\) 5.96543 1.06879i 0.385067 0.0689901i
\(241\) −3.46226 + 4.34154i −0.223024 + 0.279663i −0.880737 0.473605i \(-0.842952\pi\)
0.657713 + 0.753268i \(0.271524\pi\)
\(242\) −6.82599 6.33359i −0.438791 0.407139i
\(243\) 5.53248 + 14.5737i 0.354909 + 0.934901i
\(244\) −3.18443 −0.203862
\(245\) −8.79354 12.2097i −0.561798 0.780046i
\(246\) −2.17608 0.266622i −0.138742 0.0169992i
\(247\) 0.956627 0.460687i 0.0608687 0.0293128i
\(248\) 7.32889 2.26066i 0.465385 0.143552i
\(249\) −1.97349 + 1.93551i −0.125065 + 0.122658i
\(250\) 9.14393 + 8.48433i 0.578313 + 0.536596i
\(251\) −4.70351 20.6074i −0.296883 1.30073i −0.874741 0.484591i \(-0.838968\pi\)
0.577858 0.816137i \(-0.303889\pi\)
\(252\) 0.700032 + 6.60136i 0.0440978 + 0.415847i
\(253\) −2.82153 + 12.3619i −0.177388 + 0.777188i
\(254\) −15.5021 + 10.5691i −0.972686 + 0.663166i
\(255\) 4.57024 3.30488i 0.286199 0.206960i
\(256\) −13.2802 9.05431i −0.830014 0.565894i
\(257\) −10.3771 13.0124i −0.647303 0.811692i 0.344592 0.938752i \(-0.388017\pi\)
−0.991895 + 0.127061i \(0.959446\pi\)
\(258\) 4.00876 20.1148i 0.249574 1.25230i
\(259\) 1.01242 + 20.1180i 0.0629089 + 1.25007i
\(260\) −10.7788 5.19082i −0.668475 0.321921i
\(261\) 1.43024 + 0.863236i 0.0885299 + 0.0534330i
\(262\) 11.6832 1.76097i 0.721793 0.108793i
\(263\) −2.83305 −0.174693 −0.0873466 0.996178i \(-0.527839\pi\)
−0.0873466 + 0.996178i \(0.527839\pi\)
\(264\) −4.90592 + 6.51385i −0.301938 + 0.400900i
\(265\) −7.76266 + 1.17003i −0.476857 + 0.0718746i
\(266\) −0.292560 + 0.348954i −0.0179380 + 0.0213957i
\(267\) 12.2721 12.0359i 0.751042 0.736587i
\(268\) 2.16316 + 5.51163i 0.132136 + 0.336676i
\(269\) −1.38500 + 0.944274i −0.0844447 + 0.0575734i −0.604806 0.796373i \(-0.706750\pi\)
0.520362 + 0.853946i \(0.325797\pi\)
\(270\) 11.7239 2.77787i 0.713495 0.169056i
\(271\) −0.907745 0.136821i −0.0551416 0.00831125i 0.121414 0.992602i \(-0.461257\pi\)
−0.176555 + 0.984291i \(0.556495\pi\)
\(272\) 2.43835 + 0.367522i 0.147847 + 0.0222843i
\(273\) −15.1642 + 26.4582i −0.917777 + 1.60132i
\(274\) −10.4492 + 1.57497i −0.631262 + 0.0951475i
\(275\) −0.584046 −0.0352193
\(276\) −11.8483 1.45170i −0.713184 0.0873821i
\(277\) 2.29276 + 2.87504i 0.137759 + 0.172744i 0.845925 0.533301i \(-0.179049\pi\)
−0.708166 + 0.706046i \(0.750477\pi\)
\(278\) 2.72746 2.53071i 0.163582 0.151782i
\(279\) 7.05234 2.61086i 0.422213 0.156308i
\(280\) 17.3953 + 0.426581i 1.03957 + 0.0254931i
\(281\) 19.6961 + 13.4286i 1.17497 + 0.801080i 0.983587 0.180435i \(-0.0577507\pi\)
0.191382 + 0.981516i \(0.438703\pi\)
\(282\) 11.5332 + 18.7571i 0.686792 + 1.11697i
\(283\) 15.4109 + 10.5070i 0.916081 + 0.624574i 0.926876 0.375368i \(-0.122484\pi\)
−0.0107944 + 0.999942i \(0.503436\pi\)
\(284\) 2.07808 1.92817i 0.123311 0.114416i
\(285\) −0.499883 0.320914i −0.0296105 0.0190093i
\(286\) −10.5555 + 3.25593i −0.624157 + 0.192527i
\(287\) −2.94324 0.987514i −0.173734 0.0582911i
\(288\) −11.2070 6.76407i −0.660378 0.398576i
\(289\) −14.0519 + 4.33443i −0.826581 + 0.254966i
\(290\) 0.805049 1.00950i 0.0472741 0.0592799i
\(291\) 3.93594 10.9071i 0.230729 0.639388i
\(292\) −0.108252 + 0.0521316i −0.00633500 + 0.00305077i
\(293\) 8.95057 15.5028i 0.522898 0.905686i −0.476747 0.879041i \(-0.658184\pi\)
0.999645 0.0266455i \(-0.00848251\pi\)
\(294\) 1.25562 13.0184i 0.0732293 0.759249i
\(295\) 5.34534 + 9.25840i 0.311218 + 0.539045i
\(296\) −19.2469 13.1223i −1.11870 0.762719i
\(297\) −4.44947 + 6.64328i −0.258185 + 0.385482i
\(298\) 1.03980 + 2.64936i 0.0602337 + 0.153473i
\(299\) −40.1979 37.2982i −2.32470 2.15701i
\(300\) −0.0562493 0.546940i −0.00324755 0.0315776i
\(301\) 11.2705 26.7678i 0.649620 1.54287i
\(302\) −16.2426 15.0709i −0.934657 0.867235i
\(303\) 14.9239 7.70296i 0.857358 0.442524i
\(304\) −0.0577929 0.253207i −0.00331465 0.0145224i
\(305\) −0.611615 + 8.16143i −0.0350210 + 0.467322i
\(306\) 4.88061 + 0.461280i 0.279006 + 0.0263696i
\(307\) −24.4397 + 11.7696i −1.39485 + 0.671724i −0.972110 0.234527i \(-0.924646\pi\)
−0.422740 + 0.906251i \(0.638932\pi\)
\(308\) −2.55205 + 2.25409i −0.145417 + 0.128438i
\(309\) 20.0448 10.3461i 1.14031 0.588567i
\(310\) −1.29338 5.66667i −0.0734591 0.321845i
\(311\) −4.83754 + 12.3258i −0.274311 + 0.698934i 0.725630 + 0.688085i \(0.241549\pi\)
−0.999941 + 0.0108488i \(0.996547\pi\)
\(312\) −13.7880 32.4593i −0.780591 1.83765i
\(313\) 14.0921 24.4083i 0.796534 1.37964i −0.125327 0.992116i \(-0.539998\pi\)
0.921861 0.387522i \(-0.126669\pi\)
\(314\) −7.23895 9.07736i −0.408518 0.512265i
\(315\) 17.0532 0.526239i 0.960838 0.0296502i
\(316\) 2.23837 2.80683i 0.125918 0.157896i
\(317\) −12.4299 31.6709i −0.698133 1.77881i −0.623806 0.781579i \(-0.714415\pi\)
−0.0743262 0.997234i \(-0.523681\pi\)
\(318\) −5.74221 3.68637i −0.322007 0.206722i
\(319\) 0.0640340 + 0.854474i 0.00358522 + 0.0478414i
\(320\) −10.6713 + 13.3814i −0.596544 + 0.748042i
\(321\) −14.5087 + 14.2295i −0.809797 + 0.794211i
\(322\) 22.2964 + 7.48088i 1.24253 + 0.416893i
\(323\) −0.150698 0.188969i −0.00838506 0.0105145i
\(324\) −6.64976 3.52698i −0.369431 0.195943i
\(325\) 1.26291 2.18742i 0.0700535 0.121336i
\(326\) 6.94901 + 8.71378i 0.384870 + 0.482612i
\(327\) 19.9344 14.4152i 1.10238 0.797162i
\(328\) 2.96631 2.02240i 0.163787 0.111668i
\(329\) 10.6764 + 29.2954i 0.588611 + 1.61511i
\(330\) 4.64486 + 4.07644i 0.255691 + 0.224401i
\(331\) −24.9900 + 3.76664i −1.37358 + 0.207033i −0.794016 0.607896i \(-0.792014\pi\)
−0.579560 + 0.814930i \(0.696776\pi\)
\(332\) 0.0997466 1.33103i 0.00547430 0.0730495i
\(333\) −19.5548 11.8025i −1.07160 0.646771i
\(334\) 0.554471 + 7.39890i 0.0303393 + 0.404850i
\(335\) 14.5413 4.48540i 0.794477 0.245064i
\(336\) 5.48423 + 5.05641i 0.299189 + 0.275850i
\(337\) 14.0525 + 4.33463i 0.765490 + 0.236122i 0.652823 0.757511i \(-0.273585\pi\)
0.112667 + 0.993633i \(0.464061\pi\)
\(338\) 7.50964 32.9019i 0.408470 1.78963i
\(339\) 31.9514 + 8.89499i 1.73536 + 0.483110i
\(340\) −0.606008 + 2.65510i −0.0328654 + 0.143993i
\(341\) 3.18701 + 2.17286i 0.172586 + 0.117667i
\(342\) −0.142577 0.496264i −0.00770969 0.0268349i
\(343\) 5.43688 17.7042i 0.293564 0.955939i
\(344\) 16.7936 + 29.0874i 0.905452 + 1.56829i
\(345\) −5.99622 + 30.0874i −0.322826 + 1.61985i
\(346\) −15.6922 + 4.84040i −0.843617 + 0.260221i
\(347\) 17.0343 + 2.56750i 0.914447 + 0.137831i 0.589376 0.807859i \(-0.299374\pi\)
0.325071 + 0.945690i \(0.394612\pi\)
\(348\) −0.794022 + 0.142260i −0.0425640 + 0.00762594i
\(349\) −12.9254 + 11.9930i −0.691878 + 0.641969i −0.945609 0.325306i \(-0.894533\pi\)
0.253730 + 0.967275i \(0.418342\pi\)
\(350\) −0.107410 + 1.07792i −0.00574130 + 0.0576172i
\(351\) −15.2597 31.0296i −0.814504 1.65624i
\(352\) −0.501752 6.69542i −0.0267435 0.356867i
\(353\) −6.38329 27.9670i −0.339748 1.48853i −0.799597 0.600536i \(-0.794954\pi\)
0.459849 0.887997i \(-0.347903\pi\)
\(354\) −1.81622 + 9.11331i −0.0965312 + 0.484367i
\(355\) −4.54262 5.69627i −0.241097 0.302327i
\(356\) −0.620271 + 8.27695i −0.0328743 + 0.438677i
\(357\) 6.64002 + 2.02518i 0.351427 + 0.107184i
\(358\) 1.43007 + 19.0830i 0.0755816 + 1.00857i
\(359\) −0.508508 + 0.471827i −0.0268380 + 0.0249021i −0.693478 0.720478i \(-0.743922\pi\)
0.666640 + 0.745380i \(0.267732\pi\)
\(360\) −11.4292 + 16.0829i −0.602370 + 0.847643i
\(361\) 9.48727 16.4324i 0.499330 0.864865i
\(362\) 1.66687 2.88711i 0.0876090 0.151743i
\(363\) 14.9457 0.413852i 0.784443 0.0217216i
\(364\) −2.92379 14.4323i −0.153248 0.756458i
\(365\) 0.112818 + 0.287455i 0.00590515 + 0.0150461i
\(366\) −5.07896 + 4.98121i −0.265482 + 0.260372i
\(367\) −12.1281 5.84059i −0.633082 0.304876i 0.0896828 0.995970i \(-0.471415\pi\)
−0.722765 + 0.691094i \(0.757129\pi\)
\(368\) −11.0827 + 7.55605i −0.577725 + 0.393886i
\(369\) 2.79430 2.14089i 0.145465 0.111450i
\(370\) −11.0069 + 13.8022i −0.572222 + 0.717544i
\(371\) −6.91996 6.74394i −0.359267 0.350128i
\(372\) −1.72788 + 3.19380i −0.0895864 + 0.165591i
\(373\) −29.6327 −1.53433 −0.767163 0.641453i \(-0.778332\pi\)
−0.767163 + 0.641453i \(0.778332\pi\)
\(374\) 1.25727 + 2.17765i 0.0650118 + 0.112604i
\(375\) −20.0208 + 0.554387i −1.03387 + 0.0286284i
\(376\) −34.4560 10.6283i −1.77693 0.548111i
\(377\) −3.33872 1.60784i −0.171953 0.0828081i
\(378\) 11.4426 + 9.43373i 0.588544 + 0.485219i
\(379\) −13.8267 + 6.65859i −0.710230 + 0.342029i −0.753874 0.657018i \(-0.771817\pi\)
0.0436446 + 0.999047i \(0.486103\pi\)
\(380\) 0.283634 0.0427510i 0.0145501 0.00219308i
\(381\) 5.88803 29.5445i 0.301653 1.51361i
\(382\) 6.61493 6.13775i 0.338449 0.314035i
\(383\) −8.42287 4.05624i −0.430389 0.207264i 0.206132 0.978524i \(-0.433913\pi\)
−0.636520 + 0.771260i \(0.719627\pi\)
\(384\) 0.234304 0.0419788i 0.0119568 0.00214222i
\(385\) 5.28688 + 6.97363i 0.269444 + 0.355409i
\(386\) −1.94499 8.52154i −0.0989972 0.433735i
\(387\) 18.0193 + 27.5655i 0.915973 + 1.40123i
\(388\) 2.04560 + 5.21211i 0.103850 + 0.264605i
\(389\) −1.09078 + 4.77903i −0.0553049 + 0.242307i −0.995023 0.0996428i \(-0.968230\pi\)
0.939718 + 0.341949i \(0.111087\pi\)
\(390\) −25.3112 + 8.58167i −1.28168 + 0.434550i
\(391\) −6.24143 + 10.8105i −0.315643 + 0.546709i
\(392\) 12.5168 + 17.3793i 0.632193 + 0.877787i
\(393\) −11.4132 + 15.1539i −0.575719 + 0.764414i
\(394\) 0.0461373 0.615660i 0.00232436 0.0310165i
\(395\) −6.76376 6.27585i −0.340321 0.315772i
\(396\) −0.501140 3.82822i −0.0251832 0.192375i
\(397\) −15.0677 + 4.64776i −0.756225 + 0.233265i −0.648811 0.760950i \(-0.724733\pi\)
−0.107414 + 0.994214i \(0.534257\pi\)
\(398\) 8.02577 7.44682i 0.402295 0.373276i
\(399\) −0.0569475 0.728941i −0.00285094 0.0364927i
\(400\) −0.452905 0.420235i −0.0226453 0.0210117i
\(401\) −8.92726 4.29914i −0.445806 0.214689i 0.197492 0.980304i \(-0.436720\pi\)
−0.643298 + 0.765616i \(0.722434\pi\)
\(402\) 12.0716 + 5.40701i 0.602077 + 0.269677i
\(403\) −15.0294 + 7.23778i −0.748669 + 0.360540i
\(404\) −2.96278 + 7.54904i −0.147404 + 0.375579i
\(405\) −10.3165 + 16.3654i −0.512633 + 0.813202i
\(406\) 1.58880 + 0.0389619i 0.0788509 + 0.00193365i
\(407\) −0.875495 11.6827i −0.0433967 0.579089i
\(408\) −6.50530 + 4.70418i −0.322060 + 0.232892i
\(409\) −7.54236 + 19.2176i −0.372946 + 0.950250i 0.614016 + 0.789294i \(0.289553\pi\)
−0.986962 + 0.160956i \(0.948542\pi\)
\(410\) −1.36039 2.35626i −0.0671847 0.116367i
\(411\) 10.2077 13.5533i 0.503510 0.668537i
\(412\) −3.97940 + 10.1393i −0.196051 + 0.499529i
\(413\) −5.10625 + 12.1275i −0.251262 + 0.596757i
\(414\) −21.1681 + 16.2182i −1.04035 + 0.797081i
\(415\) −3.39215 0.511284i −0.166514 0.0250980i
\(416\) 26.1612 + 12.5986i 1.28266 + 0.617697i
\(417\) −0.281375 + 5.96749i −0.0137790 + 0.292229i
\(418\) 0.165127 0.207062i 0.00807661 0.0101277i
\(419\) 0.182831 + 0.465846i 0.00893188 + 0.0227581i 0.935270 0.353935i \(-0.115156\pi\)
−0.926338 + 0.376693i \(0.877061\pi\)
\(420\) −6.02141 + 5.62262i −0.293815 + 0.274356i
\(421\) 9.08142 23.1391i 0.442602 1.12773i −0.519362 0.854554i \(-0.673831\pi\)
0.961964 0.273176i \(-0.0880742\pi\)
\(422\) 14.2822 + 24.7375i 0.695247 + 1.20420i
\(423\) −34.3092 8.53554i −1.66817 0.415012i
\(424\) 11.0494 1.66543i 0.536607 0.0808805i
\(425\) −0.549428 0.169476i −0.0266512 0.00822080i
\(426\) 0.298276 6.32592i 0.0144515 0.306492i
\(427\) −8.45991 + 5.46897i −0.409404 + 0.264662i
\(428\) 0.733316 9.78542i 0.0354461 0.472996i
\(429\) 8.43960 15.5997i 0.407468 0.753160i
\(430\) 22.9333 11.0441i 1.10594 0.532592i
\(431\) −3.29464 1.01626i −0.158697 0.0489517i 0.214389 0.976748i \(-0.431224\pi\)
−0.373086 + 0.927797i \(0.621700\pi\)
\(432\) −8.23040 + 1.95011i −0.395985 + 0.0938248i
\(433\) 3.14687 13.7873i 0.151229 0.662577i −0.841300 0.540568i \(-0.818209\pi\)
0.992529 0.122009i \(-0.0389336\pi\)
\(434\) 4.59637 5.48236i 0.220633 0.263162i
\(435\) 0.212098 + 2.06233i 0.0101693 + 0.0988814i
\(436\) −2.64328 + 11.5810i −0.126590 + 0.554628i
\(437\) 1.30007 + 0.195953i 0.0621906 + 0.00937372i
\(438\) −0.0911094 + 0.252479i −0.00435338 + 0.0120639i
\(439\) −2.45326 + 32.7364i −0.117088 + 1.56242i 0.561233 + 0.827658i \(0.310327\pi\)
−0.678320 + 0.734767i \(0.737292\pi\)
\(440\) −10.1201 −0.482459
\(441\) 13.1970 + 16.3352i 0.628427 + 0.777869i
\(442\) −10.8746 −0.517252
\(443\) 1.36235 18.1793i 0.0647272 0.863724i −0.866475 0.499221i \(-0.833620\pi\)
0.931202 0.364504i \(-0.118761\pi\)
\(444\) 10.8561 1.94503i 0.515209 0.0923070i
\(445\) 21.0940 + 3.17941i 0.999951 + 0.150718i
\(446\) −4.66217 + 20.4263i −0.220760 + 0.967213i
\(447\) −4.17058 1.86805i −0.197262 0.0883557i
\(448\) −21.0603 0.516457i −0.995005 0.0244003i
\(449\) −0.271353 + 1.18888i −0.0128060 + 0.0561066i −0.980927 0.194376i \(-0.937732\pi\)
0.968121 + 0.250482i \(0.0805891\pi\)
\(450\) −0.945260 0.784348i −0.0445600 0.0369745i
\(451\) 1.72535 + 0.532201i 0.0812438 + 0.0250604i
\(452\) −14.4291 + 6.94870i −0.678689 + 0.326839i
\(453\) 35.5636 0.984772i 1.67092 0.0462686i
\(454\) −1.52433 + 20.3408i −0.0715404 + 0.954640i
\(455\) −37.5503 + 4.72151i −1.76039 + 0.221348i
\(456\) 0.711536 + 0.456791i 0.0333207 + 0.0213912i
\(457\) 12.0920 + 3.72988i 0.565639 + 0.174476i 0.564369 0.825523i \(-0.309120\pi\)
0.00126998 + 0.999999i \(0.499596\pi\)
\(458\) 7.55683 1.13901i 0.353107 0.0532224i
\(459\) −6.11347 + 4.95839i −0.285352 + 0.231438i
\(460\) −7.40701 12.8293i −0.345354 0.598170i
\(461\) −11.5452 + 29.4167i −0.537713 + 1.37007i 0.361423 + 0.932402i \(0.382291\pi\)
−0.899136 + 0.437669i \(0.855804\pi\)
\(462\) −0.544432 + 7.58715i −0.0253293 + 0.352986i
\(463\) 0.777222 + 1.98033i 0.0361206 + 0.0920337i 0.947796 0.318878i \(-0.103306\pi\)
−0.911675 + 0.410911i \(0.865211\pi\)
\(464\) −0.565159 + 0.708687i −0.0262368 + 0.0328999i
\(465\) 7.85358 + 5.04183i 0.364201 + 0.233809i
\(466\) 12.5182 + 6.02847i 0.579896 + 0.279263i
\(467\) 37.9173 + 5.71512i 1.75460 + 0.264464i 0.946065 0.323977i \(-0.105020\pi\)
0.808540 + 0.588441i \(0.200258\pi\)
\(468\) 15.4214 + 6.40102i 0.712856 + 0.295887i
\(469\) 15.2125 + 10.9274i 0.702446 + 0.504582i
\(470\) −9.98345 + 25.4374i −0.460502 + 1.17334i
\(471\) 18.5038 + 2.26716i 0.852611 + 0.104465i
\(472\) −7.60859 13.1785i −0.350214 0.606588i
\(473\) −6.17129 + 15.7242i −0.283756 + 0.723000i
\(474\) −0.820492 7.97806i −0.0376864 0.366444i
\(475\) 0.00452556 + 0.0603894i 0.000207647 + 0.00277085i
\(476\) −3.05487 + 1.37994i −0.140020 + 0.0632493i
\(477\) 10.7271 2.23000i 0.491158 0.102105i
\(478\) −5.43346 + 13.8442i −0.248521 + 0.633220i
\(479\) 31.7151 15.2732i 1.44910 0.697849i 0.466660 0.884437i \(-0.345457\pi\)
0.982438 + 0.186587i \(0.0597427\pi\)
\(480\) −1.66194 16.1599i −0.0758567 0.737593i
\(481\) 45.6481 + 21.9830i 2.08138 + 1.00234i
\(482\) −4.39112 4.07436i −0.200010 0.185582i
\(483\) −33.9699 + 16.4917i −1.54568 + 0.750399i
\(484\) −5.29233 + 4.91056i −0.240560 + 0.223207i
\(485\) 13.7511 4.24165i 0.624405 0.192603i
\(486\) −16.1230 + 4.77650i −0.731353 + 0.216666i
\(487\) −14.3031 13.2713i −0.648134 0.601380i 0.286032 0.958220i \(-0.407664\pi\)
−0.934166 + 0.356840i \(0.883854\pi\)
\(488\) 0.870576 11.6170i 0.0394091 0.525878i
\(489\) −17.7627 2.17635i −0.803256 0.0984181i
\(490\) 13.8429 8.47501i 0.625358 0.382862i
\(491\) 4.54655 7.87486i 0.205183 0.355388i −0.745008 0.667056i \(-0.767554\pi\)
0.950191 + 0.311668i \(0.100888\pi\)
\(492\) −0.332221 + 1.66700i −0.0149777 + 0.0751540i
\(493\) −0.187710 + 0.822409i −0.00845401 + 0.0370394i
\(494\) 0.418448 + 1.06619i 0.0188269 + 0.0479700i
\(495\) −9.90766 + 0.549117i −0.445316 + 0.0246810i
\(496\) 0.907975 + 3.97810i 0.0407693 + 0.178622i
\(497\) 2.20925 8.69138i 0.0990986 0.389862i
\(498\) −1.92295 2.27893i −0.0861696 0.102121i
\(499\) 0.574066 + 0.276456i 0.0256987 + 0.0123759i 0.446689 0.894689i \(-0.352603\pi\)
−0.420990 + 0.907065i \(0.638317\pi\)
\(500\) 7.08948 6.57807i 0.317051 0.294180i
\(501\) −8.95405 7.85830i −0.400038 0.351083i
\(502\) 22.5467 3.39837i 1.00631 0.151677i
\(503\) −27.2005 + 13.0991i −1.21281 + 0.584058i −0.927300 0.374318i \(-0.877877\pi\)
−0.285508 + 0.958376i \(0.592162\pi\)
\(504\) −24.2736 + 0.749052i −1.08123 + 0.0333654i
\(505\) 18.7785 + 9.04326i 0.835634 + 0.402420i
\(506\) −13.0704 4.03167i −0.581048 0.179230i
\(507\) 28.3823 + 46.1598i 1.26050 + 2.05003i
\(508\) 7.27337 + 12.5978i 0.322703 + 0.558939i
\(509\) −21.1632 −0.938042 −0.469021 0.883187i \(-0.655393\pi\)
−0.469021 + 0.883187i \(0.655393\pi\)
\(510\) 3.18666 + 5.18265i 0.141108 + 0.229492i
\(511\) −0.198057 + 0.324409i −0.00876153 + 0.0143510i
\(512\) 10.6390 13.3408i 0.470181 0.589588i
\(513\) 0.721382 + 0.408592i 0.0318498 + 0.0180398i
\(514\) 14.8341 10.1137i 0.654303 0.446096i
\(515\) 25.2220 + 12.1463i 1.11141 + 0.535229i
\(516\) −15.3196 4.26483i −0.674407 0.187749i
\(517\) −6.62525 16.8809i −0.291378 0.742420i
\(518\) −21.7226 0.532700i −0.954438 0.0234055i
\(519\) 12.5467 23.1912i 0.550737 1.01798i
\(520\) 21.8832 37.9029i 0.959644 1.66215i
\(521\) −5.09692 + 8.82813i −0.223300 + 0.386767i −0.955808 0.293991i \(-0.905016\pi\)
0.732508 + 0.680759i \(0.238350\pi\)
\(522\) −1.04389 + 1.46894i −0.0456896 + 0.0642936i
\(523\) −4.38496 + 4.06864i −0.191741 + 0.177909i −0.770201 0.637801i \(-0.779844\pi\)
0.578460 + 0.815710i \(0.303654\pi\)
\(524\) −0.684571 9.13496i −0.0299056 0.399063i
\(525\) −1.08875 1.35642i −0.0475171 0.0591992i
\(526\) 0.228381 3.04753i 0.00995787 0.132878i
\(527\) 2.36759 + 2.96887i 0.103134 + 0.129326i
\(528\) −3.26077 2.86173i −0.141907 0.124541i
\(529\) −9.99152 43.7757i −0.434414 1.90329i
\(530\) −0.632840 8.44467i −0.0274888 0.366813i
\(531\) −8.16390 12.4889i −0.354283 0.541973i
\(532\) 0.252844 + 0.246412i 0.0109622 + 0.0106833i
\(533\) −5.72406 + 5.31115i −0.247937 + 0.230052i
\(534\) 11.9578 + 14.1715i 0.517466 + 0.613259i
\(535\) −24.9384 3.75885i −1.07818 0.162509i
\(536\) −20.6982 + 6.38455i −0.894026 + 0.275771i
\(537\) −23.0939 20.2678i −0.996577 0.874621i
\(538\) −0.904113 1.56597i −0.0389791 0.0675138i
\(539\) −2.90872 + 10.3712i −0.125287 + 0.446720i
\(540\) −1.46844 9.22533i −0.0631914 0.396995i
\(541\) 32.8372 + 22.3881i 1.41178 + 0.962537i 0.998654 + 0.0518650i \(0.0165166\pi\)
0.413129 + 0.910672i \(0.364436\pi\)
\(542\) 0.220355 0.965438i 0.00946505 0.0414691i
\(543\) 1.33511 + 5.18366i 0.0572951 + 0.222452i
\(544\) 1.47084 6.44416i 0.0630617 0.276291i
\(545\) 29.1734 + 8.99880i 1.24965 + 0.385466i
\(546\) −27.2388 18.4451i −1.16571 0.789377i
\(547\) 8.24315 2.54267i 0.352452 0.108717i −0.113474 0.993541i \(-0.536198\pi\)
0.465925 + 0.884824i \(0.345722\pi\)
\(548\) 0.612266 + 8.17012i 0.0261547 + 0.349010i
\(549\) 0.221960 11.4204i 0.00947302 0.487409i
\(550\) 0.0470817 0.628262i 0.00200757 0.0267892i
\(551\) 0.0878551 0.0132420i 0.00374275 0.000564129i
\(552\) 8.53505 42.8266i 0.363276 1.82282i
\(553\) 1.12609 11.3009i 0.0478862 0.480565i
\(554\) −3.27752 + 2.23458i −0.139249 + 0.0949381i
\(555\) −2.89987 28.1970i −0.123093 1.19689i
\(556\) −1.79860 2.25537i −0.0762776 0.0956491i
\(557\) 2.38206 4.12585i 0.100931 0.174818i −0.811137 0.584856i \(-0.801151\pi\)
0.912069 + 0.410038i \(0.134484\pi\)
\(558\) 2.24001 + 7.79673i 0.0948272 + 0.330062i
\(559\) −45.5473 57.1144i −1.92644 2.41568i
\(560\) −0.917917 + 9.21182i −0.0387891 + 0.389270i
\(561\) −3.88956 1.08282i −0.164217 0.0457166i
\(562\) −16.0329 + 20.1047i −0.676309 + 0.848065i
\(563\) −2.21640 29.5758i −0.0934100 1.24647i −0.825161 0.564898i \(-0.808916\pi\)
0.731751 0.681572i \(-0.238703\pi\)
\(564\) 15.1703 7.83014i 0.638786 0.329708i
\(565\) 15.0376 + 38.3152i 0.632638 + 1.61193i
\(566\) −12.5447 + 15.7306i −0.527294 + 0.661206i
\(567\) −23.7233 + 2.05041i −0.996286 + 0.0861089i
\(568\) 6.46600 + 8.10811i 0.271307 + 0.340209i
\(569\) −13.2405 + 22.9333i −0.555073 + 0.961414i 0.442825 + 0.896608i \(0.353976\pi\)
−0.997898 + 0.0648060i \(0.979357\pi\)
\(570\) 0.385506 0.511857i 0.0161471 0.0214393i
\(571\) −3.70969 + 9.45214i −0.155246 + 0.395560i −0.987243 0.159220i \(-0.949102\pi\)
0.831997 + 0.554780i \(0.187197\pi\)
\(572\) 1.90575 + 8.34962i 0.0796833 + 0.349115i
\(573\) −0.682421 + 14.4730i −0.0285086 + 0.604618i
\(574\) 1.29954 3.08645i 0.0542417 0.128826i
\(575\) 2.81788 1.35702i 0.117514 0.0565916i
\(576\) 13.8372 19.4714i 0.576549 0.811309i
\(577\) 2.76212 36.8579i 0.114988 1.53441i −0.579537 0.814946i \(-0.696766\pi\)
0.694525 0.719468i \(-0.255615\pi\)
\(578\) −3.52981 15.4651i −0.146821 0.643264i
\(579\) 11.8102 + 7.58190i 0.490816 + 0.315093i
\(580\) −0.733853 0.680916i −0.0304716 0.0282735i
\(581\) −2.02092 3.70737i −0.0838420 0.153808i
\(582\) 11.4156 + 5.11317i 0.473192 + 0.211948i
\(583\) 4.11960 + 3.82243i 0.170617 + 0.158309i
\(584\) −0.160585 0.409165i −0.00664507 0.0169314i
\(585\) 19.3672 38.2945i 0.800734 1.58328i
\(586\) 15.9550 + 10.8779i 0.659094 + 0.449363i
\(587\) 1.28241 + 2.22120i 0.0529306 + 0.0916786i 0.891277 0.453460i \(-0.149810\pi\)
−0.838346 + 0.545138i \(0.816477\pi\)
\(588\) −9.99247 1.72507i −0.412082 0.0711407i
\(589\) 0.199976 0.346368i 0.00823985 0.0142718i
\(590\) −10.3902 + 5.00367i −0.427759 + 0.205998i
\(591\) 0.639285 + 0.757629i 0.0262967 + 0.0311647i
\(592\) 7.72705 9.68941i 0.317580 0.398232i
\(593\) 11.3621 3.50474i 0.466585 0.143923i −0.0525433 0.998619i \(-0.516733\pi\)
0.519129 + 0.854696i \(0.326257\pi\)
\(594\) −6.78754 5.32187i −0.278496 0.218359i
\(595\) 2.94993 + 8.09441i 0.120936 + 0.331839i
\(596\) 2.10860 0.650417i 0.0863717 0.0266421i
\(597\) −0.827969 + 17.5598i −0.0338865 + 0.718676i
\(598\) 43.3624 40.2344i 1.77322 1.64531i
\(599\) −12.8303 8.74756i −0.524232 0.357416i 0.272106 0.962267i \(-0.412280\pi\)
−0.796338 + 0.604852i \(0.793232\pi\)
\(600\) 2.01066 0.0556760i 0.0820847 0.00227296i
\(601\) −26.3788 17.9848i −1.07602 0.733615i −0.110478 0.993879i \(-0.535238\pi\)
−0.965538 + 0.260264i \(0.916190\pi\)
\(602\) 27.8858 + 14.2816i 1.13654 + 0.582074i
\(603\) −19.9172 + 7.37358i −0.811091 + 0.300275i
\(604\) −12.5932 + 11.6848i −0.512411 + 0.475448i
\(605\) 11.5689 + 14.5069i 0.470343 + 0.589791i
\(606\) 7.08306 + 16.6747i 0.287730 + 0.677365i
\(607\) 16.7214 0.678703 0.339351 0.940660i \(-0.389792\pi\)
0.339351 + 0.940660i \(0.389792\pi\)
\(608\) −0.688407 + 0.103761i −0.0279186 + 0.00420805i
\(609\) −1.86512 + 1.74159i −0.0755783 + 0.0705730i
\(610\) −8.73000 1.31584i −0.353468 0.0532767i
\(611\) 77.5499 + 11.6888i 3.13733 + 0.472877i
\(612\) 0.639422 3.74673i 0.0258471 0.151453i
\(613\) 16.4981 11.2482i 0.666350 0.454310i −0.182315 0.983240i \(-0.558359\pi\)
0.848665 + 0.528930i \(0.177407\pi\)
\(614\) −10.6904 27.2388i −0.431431 1.09927i
\(615\) 4.20857 + 1.17163i 0.169706 + 0.0472445i
\(616\) −7.52538 9.92631i −0.303206 0.399942i
\(617\) 2.05557 0.309827i 0.0827539 0.0124731i −0.107535 0.994201i \(-0.534296\pi\)
0.190289 + 0.981728i \(0.439058\pi\)
\(618\) 9.51347 + 22.3963i 0.382688 + 0.900913i
\(619\) 18.0343 0.724860 0.362430 0.932011i \(-0.381947\pi\)
0.362430 + 0.932011i \(0.381947\pi\)
\(620\) −4.45614 + 0.671655i −0.178963 + 0.0269743i
\(621\) 6.03209 42.3905i 0.242060 1.70107i
\(622\) −12.8690 6.19739i −0.516001 0.248493i
\(623\) 12.5671 + 23.0542i 0.503489 + 0.923646i
\(624\) 17.7689 6.02448i 0.711327 0.241172i
\(625\) −14.3142 17.9494i −0.572567 0.717977i
\(626\) 25.1201 + 17.1266i 1.00400 + 0.684517i
\(627\) 0.0435041 + 0.423013i 0.00173739 + 0.0168935i
\(628\) −7.43761 + 5.07088i −0.296793 + 0.202350i
\(629\) 2.56643 11.2443i 0.102330 0.448338i
\(630\) −0.808631 + 18.3867i −0.0322166 + 0.732542i
\(631\) 5.27052 + 23.0916i 0.209816 + 0.919264i 0.964689 + 0.263393i \(0.0848415\pi\)
−0.754873 + 0.655871i \(0.772301\pi\)
\(632\) 9.62757 + 8.93308i 0.382964 + 0.355339i
\(633\) −44.1842 12.3005i −1.75616 0.488900i
\(634\) 35.0706 10.8178i 1.39283 0.429631i
\(635\) 33.6842 16.2214i 1.33672 0.643728i
\(636\) −3.18283 + 4.22602i −0.126207 + 0.167572i
\(637\) −32.5536 33.3202i −1.28982 1.32019i
\(638\) −0.924326 −0.0365944
\(639\) 6.77018 + 7.58703i 0.267824 + 0.300138i
\(640\) 0.216549 + 0.200928i 0.00855986 + 0.00794239i
\(641\) −20.6380 + 25.8792i −0.815151 + 1.02217i 0.184078 + 0.982912i \(0.441070\pi\)
−0.999229 + 0.0392559i \(0.987501\pi\)
\(642\) −14.1371 16.7542i −0.557948 0.661236i
\(643\) 1.44606 + 0.446050i 0.0570269 + 0.0175905i 0.323137 0.946352i \(-0.395262\pi\)
−0.266110 + 0.963943i \(0.585739\pi\)
\(644\) 7.07571 16.8051i 0.278822 0.662212i
\(645\) −13.8727 + 38.4437i −0.546239 + 1.51372i
\(646\) 0.215424 0.146873i 0.00847573 0.00577866i
\(647\) 26.2582 + 8.09958i 1.03232 + 0.318427i 0.764214 0.644963i \(-0.223127\pi\)
0.268102 + 0.963390i \(0.413603\pi\)
\(648\) 14.6846 23.2946i 0.576867 0.915097i
\(649\) 2.79599 7.12407i 0.109752 0.279644i
\(650\) 2.25122 + 1.53485i 0.0883000 + 0.0602019i
\(651\) 0.894694 + 11.4523i 0.0350658 + 0.448850i
\(652\) 7.13971 4.86777i 0.279613 0.190637i
\(653\) 8.65616 + 37.9251i 0.338742 + 1.48412i 0.801691 + 0.597739i \(0.203934\pi\)
−0.462949 + 0.886385i \(0.653209\pi\)
\(654\) 13.8995 + 22.6056i 0.543515 + 0.883950i
\(655\) −23.5436 −0.919926
\(656\) 0.955015 + 1.65414i 0.0372871 + 0.0645831i
\(657\) −0.179415 0.391861i −0.00699964 0.0152879i
\(658\) −32.3739 + 9.12312i −1.26207 + 0.355656i
\(659\) −34.4643 5.19465i −1.34254 0.202355i −0.561830 0.827253i \(-0.689903\pi\)
−0.780707 + 0.624898i \(0.785141\pi\)
\(660\) 3.42083 3.35499i 0.133156 0.130593i
\(661\) 0.279037 + 3.72349i 0.0108533 + 0.144827i 0.999998 0.00211934i \(-0.000674608\pi\)
−0.989144 + 0.146946i \(0.953056\pi\)
\(662\) −2.03728 27.1856i −0.0791811 1.05660i
\(663\) 12.4660 12.2261i 0.484140 0.474822i
\(664\) 4.82841 + 0.727765i 0.187379 + 0.0282428i
\(665\) 0.680096 0.600691i 0.0263730 0.0232938i
\(666\) 14.2724 20.0838i 0.553043 0.778231i
\(667\) −2.29430 3.97385i −0.0888358 0.153868i
\(668\) 5.75261 0.222575
\(669\) −17.6204 28.6571i −0.681245 1.10795i
\(670\) 3.65276 + 16.0038i 0.141118 + 0.618280i
\(671\) 4.84083 3.30042i 0.186878 0.127411i
\(672\) 14.6145 13.6466i 0.563767 0.526430i
\(673\) 24.6884 + 16.8323i 0.951667 + 0.648836i 0.936358 0.351047i \(-0.114174\pi\)
0.0153094 + 0.999883i \(0.495127\pi\)
\(674\) −5.79561 + 14.7670i −0.223238 + 0.568802i
\(675\) 1.96542 0.163605i 0.0756490 0.00629715i
\(676\) −25.0031 7.71242i −0.961656 0.296632i
\(677\) 0.471796 0.321665i 0.0181326 0.0123626i −0.554220 0.832370i \(-0.686983\pi\)
0.572352 + 0.820008i \(0.306031\pi\)
\(678\) −12.1441 + 33.6533i −0.466392 + 1.29245i
\(679\) 14.3858 + 10.3336i 0.552075 + 0.396567i
\(680\) −9.52030 2.93663i −0.365087 0.112614i
\(681\) −21.1213 25.0313i −0.809371 0.959201i
\(682\) −2.59428 + 3.25312i −0.0993401 + 0.124569i
\(683\) −13.3808 12.4156i −0.512002 0.475069i 0.381347 0.924432i \(-0.375460\pi\)
−0.893349 + 0.449363i \(0.851651\pi\)
\(684\) −0.391949 + 0.0814805i −0.0149865 + 0.00311549i
\(685\) 21.0569 0.804544
\(686\) 18.6063 + 7.27569i 0.710392 + 0.277787i
\(687\) −7.38215 + 9.80168i −0.281647 + 0.373958i
\(688\) −16.0995 + 7.75313i −0.613789 + 0.295585i
\(689\) −23.2241 + 7.16370i −0.884769 + 0.272915i
\(690\) −31.8818 8.87561i −1.21372 0.337889i
\(691\) −25.0239 23.2188i −0.951953 0.883284i 0.0413119 0.999146i \(-0.486846\pi\)
−0.993265 + 0.115863i \(0.963037\pi\)
\(692\) 2.83316 + 12.4129i 0.107701 + 0.471868i
\(693\) −7.90597 9.30957i −0.300323 0.353641i
\(694\) −4.13506 + 18.1169i −0.156965 + 0.687708i
\(695\) −6.12578 + 4.17648i −0.232364 + 0.158423i
\(696\) −0.301901 2.93554i −0.0114435 0.111271i
\(697\) 1.46866 + 1.00131i 0.0556294 + 0.0379274i
\(698\) −11.8590 14.8707i −0.448869 0.562864i
\(699\) −21.1279 + 7.16332i −0.799130 + 0.270942i
\(700\) 0.827173 + 0.145499i 0.0312642 + 0.00549933i
\(701\) 6.84144 + 3.29466i 0.258397 + 0.124438i 0.558598 0.829438i \(-0.311339\pi\)
−0.300201 + 0.953876i \(0.597054\pi\)
\(702\) 34.6089 13.9136i 1.30623 0.525135i
\(703\) −1.20119 + 0.181050i −0.0453036 + 0.00682841i
\(704\) 12.2524 0.461778
\(705\) −17.1543 40.3842i −0.646069 1.52096i
\(706\) 30.5989 4.61204i 1.15160 0.173576i
\(707\) 5.09373 + 25.1435i 0.191569 + 0.945617i
\(708\) 6.94075 + 1.93224i 0.260849 + 0.0726181i
\(709\) −2.35416 5.99830i −0.0884123 0.225271i 0.879828 0.475292i \(-0.157658\pi\)
−0.968240 + 0.250021i \(0.919562\pi\)
\(710\) 6.49371 4.42734i 0.243705 0.166155i
\(711\) 9.91014 + 8.22313i 0.371659 + 0.308392i
\(712\) −30.0253 4.52559i −1.12525 0.169604i
\(713\) −20.4251 3.07859i −0.764927 0.115294i
\(714\) −2.71377 + 6.97946i −0.101560 + 0.261200i
\(715\) 21.7654 3.28061i 0.813980 0.122688i
\(716\) 14.8369 0.554481
\(717\) −9.33618 21.9790i −0.348666 0.820819i
\(718\) −0.466555 0.585041i −0.0174117 0.0218335i
\(719\) −21.3048 + 19.7680i −0.794535 + 0.737221i −0.968898 0.247461i \(-0.920404\pi\)
0.174363 + 0.984681i \(0.444213\pi\)
\(720\) −8.07812 6.70298i −0.301054 0.249805i
\(721\) 6.84153 + 33.7709i 0.254792 + 1.25769i
\(722\) 16.9117 + 11.5302i 0.629388 + 0.429109i
\(723\) 9.61445 0.266229i 0.357565 0.00990115i
\(724\) −2.13560 1.45603i −0.0793689 0.0541128i
\(725\) 0.154935 0.143758i 0.00575413 0.00533905i
\(726\) −0.759631 + 16.1105i −0.0281926 + 0.597917i
\(727\) 5.81747 1.79445i 0.215758 0.0665525i −0.184992 0.982740i \(-0.559226\pi\)
0.400750 + 0.916188i \(0.368750\pi\)
\(728\) 53.4494 6.72063i 1.98097 0.249083i
\(729\) 13.1123 23.6023i 0.485643 0.874158i
\(730\) −0.318312 + 0.0981861i −0.0117812 + 0.00363403i
\(731\) −10.3683 + 13.0014i −0.383485 + 0.480875i
\(732\) 3.55696 + 4.21543i 0.131469 + 0.155807i
\(733\) 11.4794 5.52821i 0.424003 0.204189i −0.209700 0.977766i \(-0.567249\pi\)
0.633703 + 0.773577i \(0.281534\pi\)
\(734\) 7.26044 12.5755i 0.267988 0.464169i
\(735\) −6.34041 + 25.2785i −0.233869 + 0.932413i
\(736\) 17.9775 + 31.1379i 0.662659 + 1.14776i
\(737\) −9.00073 6.13659i −0.331546 0.226044i
\(738\) 2.07771 + 3.17843i 0.0764815 + 0.117000i
\(739\) −6.22755 15.8675i −0.229084 0.583697i 0.769398 0.638769i \(-0.220556\pi\)
−0.998482 + 0.0550728i \(0.982461\pi\)
\(740\) 10.0335 + 9.30972i 0.368839 + 0.342232i
\(741\) −1.67838 0.751764i −0.0616567 0.0276168i
\(742\) 7.81234 6.90020i 0.286800 0.253314i
\(743\) −31.0033 28.7668i −1.13740 1.05535i −0.997877 0.0651342i \(-0.979252\pi\)
−0.139524 0.990219i \(-0.544557\pi\)
\(744\) −11.1788 7.17657i −0.409836 0.263106i
\(745\) −1.26198 5.52909i −0.0462354 0.202570i
\(746\) 2.38879 31.8761i 0.0874597 1.16707i
\(747\) 4.76652 + 0.450497i 0.174398 + 0.0164828i
\(748\) 1.75651 0.845888i 0.0642242 0.0309287i
\(749\) −14.8574 27.2558i −0.542878 0.995905i
\(750\) 1.01758 21.5813i 0.0371569 0.788036i
\(751\) 5.64400 + 24.7280i 0.205953 + 0.902337i 0.967228 + 0.253909i \(0.0817163\pi\)
−0.761276 + 0.648428i \(0.775427\pi\)
\(752\) 7.00855 17.8575i 0.255576 0.651196i
\(753\) −22.0255 + 29.2445i −0.802656 + 1.06573i
\(754\) 1.99871 3.46187i 0.0727888 0.126074i
\(755\) 27.5285 + 34.5196i 1.00186 + 1.25630i
\(756\) 7.95670 8.30030i 0.289382 0.301879i
\(757\) −3.36571 + 4.22047i −0.122329 + 0.153396i −0.839225 0.543785i \(-0.816991\pi\)
0.716896 + 0.697180i \(0.245562\pi\)
\(758\) −6.04808 15.4102i −0.219676 0.559725i
\(759\) 19.5158 10.0731i 0.708380 0.365629i
\(760\) 0.0784173 + 1.04641i 0.00284450 + 0.0379572i
\(761\) −10.0014 + 12.5414i −0.362551 + 0.454625i −0.929333 0.369243i \(-0.879617\pi\)
0.566781 + 0.823868i \(0.308188\pi\)
\(762\) 31.3066 + 8.71547i 1.13412 + 0.315728i
\(763\) 12.8670 + 35.3061i 0.465817 + 1.27817i
\(764\) −4.36215 5.46997i −0.157817 0.197896i
\(765\) −9.47976 2.35840i −0.342741 0.0852681i
\(766\) 5.04232 8.73355i 0.182186 0.315556i
\(767\) 20.6358 + 25.8765i 0.745116 + 0.934346i
\(768\) 2.84809 + 27.6934i 0.102771 + 0.999299i
\(769\) 34.9883 23.8546i 1.26171 0.860220i 0.267077 0.963675i \(-0.413942\pi\)
0.994634 + 0.103455i \(0.0329898\pi\)
\(770\) −7.92777 + 5.12497i −0.285697 + 0.184691i
\(771\) −5.63431 + 28.2714i −0.202915 + 1.01817i
\(772\) −6.70114 + 1.01003i −0.241179 + 0.0363519i