Properties

Label 29.3.f.a.10.3
Level 29
Weight 3
Character 29.10
Analytic conductor 0.790
Analytic rank 0
Dimension 48
CM No

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Newspace parameters

Level: \( N \) = \( 29 \)
Weight: \( k \) = \( 3 \)
Character orbit: \([\chi]\) = 29.f (of order \(28\) and degree \(12\))

Newform invariants

Self dual: No
Analytic conductor: \(0.790192766645\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{28})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 10.3
Character \(\chi\) = 29.10
Dual form 29.3.f.a.3.3

$q$-expansion

\(f(q)\) \(=\) \(q+(1.44470 - 0.907767i) q^{2} +(1.22940 + 0.430186i) q^{3} +(-0.472410 + 0.980970i) q^{4} +(-8.15497 - 1.86132i) q^{5} +(2.16663 - 0.494518i) q^{6} +(7.53715 - 3.62970i) q^{7} +(0.972146 + 8.62804i) q^{8} +(-5.71012 - 4.55367i) q^{9} +O(q^{10})\) \(q+(1.44470 - 0.907767i) q^{2} +(1.22940 + 0.430186i) q^{3} +(-0.472410 + 0.980970i) q^{4} +(-8.15497 - 1.86132i) q^{5} +(2.16663 - 0.494518i) q^{6} +(7.53715 - 3.62970i) q^{7} +(0.972146 + 8.62804i) q^{8} +(-5.71012 - 4.55367i) q^{9} +(-13.4711 + 4.71376i) q^{10} +(-1.08366 + 9.61773i) q^{11} +(-1.00278 + 1.00278i) q^{12} +(8.88076 - 7.08217i) q^{13} +(7.59401 - 12.0858i) q^{14} +(-9.22501 - 5.79646i) q^{15} +(6.52130 + 8.17745i) q^{16} +(11.2928 + 11.2928i) q^{17} +(-12.3831 - 1.39524i) q^{18} +(-5.31570 - 15.1914i) q^{19} +(5.67839 - 7.12047i) q^{20} +(10.8276 - 1.21998i) q^{21} +(7.16509 + 14.8785i) q^{22} +(-2.98784 - 13.0906i) q^{23} +(-2.51650 + 11.0255i) q^{24} +(40.5148 + 19.5109i) q^{25} +(6.40109 - 18.2933i) q^{26} +(-11.2978 - 17.9804i) q^{27} +9.10842i q^{28} +(-25.9185 + 13.0088i) q^{29} -18.5892 q^{30} +(1.32569 - 0.832985i) q^{31} +(-15.9370 - 5.57660i) q^{32} +(-5.46966 + 11.3579i) q^{33} +(26.5659 + 6.06349i) q^{34} +(-68.2212 + 15.5711i) q^{35} +(7.16453 - 3.45025i) q^{36} +(2.36887 + 21.0243i) q^{37} +(-21.4699 - 17.1216i) q^{38} +(13.9646 - 4.88644i) q^{39} +(8.13170 - 72.1709i) q^{40} +(-0.193896 + 0.193896i) q^{41} +(14.5352 - 11.5915i) q^{42} +(-38.8303 + 61.7981i) q^{43} +(-8.92277 - 5.60655i) q^{44} +(38.0900 + 47.7634i) q^{45} +(-16.1997 - 16.1997i) q^{46} +(42.6067 + 4.80062i) q^{47} +(4.49946 + 12.8587i) q^{48} +(13.0829 - 16.4054i) q^{49} +(76.2432 - 8.59054i) q^{50} +(9.02534 + 18.7413i) q^{51} +(2.75203 + 12.0574i) q^{52} +(17.1572 - 75.1706i) q^{53} +(-32.6439 - 15.7205i) q^{54} +(26.7389 - 76.4152i) q^{55} +(38.6444 + 61.5022i) q^{56} -20.9631i q^{57} +(-25.6356 + 42.3219i) q^{58} -23.4840 q^{59} +(10.0441 - 6.31115i) q^{60} +(56.8778 + 19.9024i) q^{61} +(1.15907 - 2.40683i) q^{62} +(-59.5664 - 13.5957i) q^{63} +(-68.8749 + 15.7203i) q^{64} +(-85.6045 + 41.2249i) q^{65} +(2.40826 + 21.3739i) q^{66} +(-48.7873 - 38.9066i) q^{67} +(-16.4127 + 5.74304i) q^{68} +(1.95813 - 17.3789i) q^{69} +(-84.4245 + 84.4245i) q^{70} +(79.7652 - 63.6106i) q^{71} +(33.7381 - 53.6939i) q^{72} +(-23.3031 - 14.6423i) q^{73} +(22.5075 + 28.2235i) q^{74} +(41.4156 + 41.4156i) q^{75} +(17.4135 + 1.96203i) q^{76} +(26.7418 + 76.4236i) q^{77} +(15.7390 - 19.7361i) q^{78} +(11.7798 - 1.32727i) q^{79} +(-37.9602 - 78.8251i) q^{80} +(8.47203 + 37.1184i) q^{81} +(-0.104110 + 0.456135i) q^{82} +(0.116523 + 0.0561147i) q^{83} +(-3.91831 + 11.1979i) q^{84} +(-71.0727 - 113.112i) q^{85} +124.529i q^{86} +(-37.4605 + 4.84326i) q^{87} -84.0356 q^{88} +(24.8431 - 15.6099i) q^{89} +(98.3867 + 34.4270i) q^{90} +(41.2294 - 85.6138i) q^{91} +(14.2529 + 3.25314i) q^{92} +(1.98814 - 0.453780i) q^{93} +(65.9118 - 31.7415i) q^{94} +(15.0734 + 133.780i) q^{95} +(-17.1940 - 13.7117i) q^{96} +(23.5730 - 8.24856i) q^{97} +(4.00858 - 35.5771i) q^{98} +(49.9837 - 49.9837i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} + O(q^{10}) \) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} - 20q^{10} - 8q^{11} - 68q^{12} - 14q^{13} + 26q^{14} - 4q^{15} + 18q^{16} - 26q^{17} - 34q^{18} + 2q^{19} + 46q^{20} + 218q^{21} + 154q^{22} + 56q^{23} + 154q^{24} - 34q^{25} + 110q^{26} + 126q^{27} - 170q^{29} + 24q^{30} - 88q^{31} - 132q^{32} - 224q^{33} - 224q^{34} - 210q^{35} - 434q^{36} - 56q^{37} - 294q^{38} - 232q^{39} - 492q^{40} - 34q^{41} - 14q^{42} + 176q^{43} + 126q^{44} + 114q^{45} + 744q^{46} + 208q^{47} + 640q^{48} + 506q^{49} + 732q^{50} + 322q^{51} + 690q^{52} - 14q^{53} - 36q^{54} + 284q^{55} + 332q^{56} - 508q^{58} - 44q^{59} - 316q^{60} - 30q^{61} - 504q^{62} - 686q^{63} - 896q^{64} - 554q^{65} - 608q^{66} - 574q^{67} - 796q^{68} - 806q^{69} - 1066q^{70} + 224q^{71} + 748q^{72} - 22q^{73} + 820q^{74} + 768q^{75} + 514q^{76} + 436q^{77} + 282q^{78} + 564q^{79} + 1162q^{80} + 670q^{81} - 18q^{82} - 126q^{83} + 572q^{84} + 38q^{85} - 118q^{87} - 384q^{88} - 160q^{89} - 828q^{90} - 434q^{91} - 1022q^{92} - 406q^{93} - 2q^{94} - 642q^{95} - 1176q^{96} + 604q^{97} - 102q^{98} + 316q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{23}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.44470 0.907767i 0.722351 0.453883i −0.120027 0.992771i \(-0.538298\pi\)
0.842378 + 0.538887i \(0.181155\pi\)
\(3\) 1.22940 + 0.430186i 0.409800 + 0.143395i 0.527303 0.849677i \(-0.323203\pi\)
−0.117503 + 0.993073i \(0.537489\pi\)
\(4\) −0.472410 + 0.980970i −0.118103 + 0.245242i
\(5\) −8.15497 1.86132i −1.63099 0.372264i −0.693552 0.720406i \(-0.743955\pi\)
−0.937442 + 0.348142i \(0.886813\pi\)
\(6\) 2.16663 0.494518i 0.361104 0.0824197i
\(7\) 7.53715 3.62970i 1.07674 0.518528i 0.190464 0.981694i \(-0.439001\pi\)
0.886272 + 0.463166i \(0.153287\pi\)
\(8\) 0.972146 + 8.62804i 0.121518 + 1.07850i
\(9\) −5.71012 4.55367i −0.634458 0.505963i
\(10\) −13.4711 + 4.71376i −1.34711 + 0.471376i
\(11\) −1.08366 + 9.61773i −0.0985143 + 0.874339i 0.843126 + 0.537717i \(0.180713\pi\)
−0.941640 + 0.336622i \(0.890716\pi\)
\(12\) −1.00278 + 1.00278i −0.0835650 + 0.0835650i
\(13\) 8.88076 7.08217i 0.683135 0.544782i −0.219274 0.975663i \(-0.570369\pi\)
0.902409 + 0.430881i \(0.141797\pi\)
\(14\) 7.59401 12.0858i 0.542430 0.863272i
\(15\) −9.22501 5.79646i −0.615001 0.386430i
\(16\) 6.52130 + 8.17745i 0.407581 + 0.511091i
\(17\) 11.2928 + 11.2928i 0.664280 + 0.664280i 0.956386 0.292106i \(-0.0943559\pi\)
−0.292106 + 0.956386i \(0.594356\pi\)
\(18\) −12.3831 1.39524i −0.687949 0.0775133i
\(19\) −5.31570 15.1914i −0.279774 0.799548i −0.994929 0.100582i \(-0.967930\pi\)
0.715155 0.698966i \(-0.246356\pi\)
\(20\) 5.67839 7.12047i 0.283919 0.356024i
\(21\) 10.8276 1.21998i 0.515601 0.0580942i
\(22\) 7.16509 + 14.8785i 0.325686 + 0.676294i
\(23\) −2.98784 13.0906i −0.129906 0.569155i −0.997423 0.0717472i \(-0.977143\pi\)
0.867517 0.497408i \(-0.165715\pi\)
\(24\) −2.51650 + 11.0255i −0.104854 + 0.459396i
\(25\) 40.5148 + 19.5109i 1.62059 + 0.780436i
\(26\) 6.40109 18.2933i 0.246196 0.703588i
\(27\) −11.2978 17.9804i −0.418437 0.665939i
\(28\) 9.10842i 0.325301i
\(29\) −25.9185 + 13.0088i −0.893743 + 0.448580i
\(30\) −18.5892 −0.619641
\(31\) 1.32569 0.832985i 0.0427641 0.0268705i −0.510480 0.859889i \(-0.670532\pi\)
0.553244 + 0.833019i \(0.313390\pi\)
\(32\) −15.9370 5.57660i −0.498032 0.174269i
\(33\) −5.46966 + 11.3579i −0.165747 + 0.344178i
\(34\) 26.5659 + 6.06349i 0.781349 + 0.178338i
\(35\) −68.2212 + 15.5711i −1.94918 + 0.444887i
\(36\) 7.16453 3.45025i 0.199015 0.0958404i
\(37\) 2.36887 + 21.0243i 0.0640236 + 0.568225i 0.984243 + 0.176822i \(0.0565817\pi\)
−0.920219 + 0.391403i \(0.871990\pi\)
\(38\) −21.4699 17.1216i −0.564997 0.450570i
\(39\) 13.9646 4.88644i 0.358068 0.125293i
\(40\) 8.13170 72.1709i 0.203293 1.80427i
\(41\) −0.193896 + 0.193896i −0.00472917 + 0.00472917i −0.709467 0.704738i \(-0.751064\pi\)
0.704738 + 0.709467i \(0.251064\pi\)
\(42\) 14.5352 11.5915i 0.346077 0.275987i
\(43\) −38.8303 + 61.7981i −0.903031 + 1.43717i −0.00365282 + 0.999993i \(0.501163\pi\)
−0.899378 + 0.437172i \(0.855980\pi\)
\(44\) −8.92277 5.60655i −0.202790 0.127422i
\(45\) 38.0900 + 47.7634i 0.846445 + 1.06141i
\(46\) −16.1997 16.1997i −0.352168 0.352168i
\(47\) 42.6067 + 4.80062i 0.906525 + 0.102141i 0.552901 0.833247i \(-0.313521\pi\)
0.353624 + 0.935388i \(0.384949\pi\)
\(48\) 4.49946 + 12.8587i 0.0937388 + 0.267890i
\(49\) 13.0829 16.4054i 0.266997 0.334804i
\(50\) 76.2432 8.59054i 1.52486 0.171811i
\(51\) 9.02534 + 18.7413i 0.176967 + 0.367477i
\(52\) 2.75203 + 12.0574i 0.0529237 + 0.231874i
\(53\) 17.1572 75.1706i 0.323721 1.41831i −0.507155 0.861855i \(-0.669303\pi\)
0.830875 0.556459i \(-0.187840\pi\)
\(54\) −32.6439 15.7205i −0.604517 0.291120i
\(55\) 26.7389 76.4152i 0.486161 1.38937i
\(56\) 38.6444 + 61.5022i 0.690078 + 1.09825i
\(57\) 20.9631i 0.367773i
\(58\) −25.6356 + 42.3219i −0.441993 + 0.729687i
\(59\) −23.4840 −0.398034 −0.199017 0.979996i \(-0.563775\pi\)
−0.199017 + 0.979996i \(0.563775\pi\)
\(60\) 10.0441 6.31115i 0.167402 0.105186i
\(61\) 56.8778 + 19.9024i 0.932423 + 0.326269i 0.753390 0.657574i \(-0.228417\pi\)
0.179033 + 0.983843i \(0.442703\pi\)
\(62\) 1.15907 2.40683i 0.0186947 0.0388199i
\(63\) −59.5664 13.5957i −0.945499 0.215804i
\(64\) −68.8749 + 15.7203i −1.07617 + 0.245629i
\(65\) −85.6045 + 41.2249i −1.31699 + 0.634230i
\(66\) 2.40826 + 21.3739i 0.0364888 + 0.323847i
\(67\) −48.7873 38.9066i −0.728169 0.580696i 0.187674 0.982231i \(-0.439905\pi\)
−0.915843 + 0.401536i \(0.868477\pi\)
\(68\) −16.4127 + 5.74304i −0.241363 + 0.0844565i
\(69\) 1.95813 17.3789i 0.0283787 0.251868i
\(70\) −84.4245 + 84.4245i −1.20606 + 1.20606i
\(71\) 79.7652 63.6106i 1.12345 0.895924i 0.128057 0.991767i \(-0.459126\pi\)
0.995396 + 0.0958430i \(0.0305547\pi\)
\(72\) 33.7381 53.6939i 0.468585 0.745749i
\(73\) −23.3031 14.6423i −0.319220 0.200579i 0.362884 0.931834i \(-0.381792\pi\)
−0.682104 + 0.731255i \(0.738935\pi\)
\(74\) 22.5075 + 28.2235i 0.304156 + 0.381399i
\(75\) 41.4156 + 41.4156i 0.552208 + 0.552208i
\(76\) 17.4135 + 1.96203i 0.229125 + 0.0258162i
\(77\) 26.7418 + 76.4236i 0.347296 + 0.992514i
\(78\) 15.7390 19.7361i 0.201782 0.253027i
\(79\) 11.7798 1.32727i 0.149112 0.0168009i −0.0370930 0.999312i \(-0.511810\pi\)
0.186205 + 0.982511i \(0.440381\pi\)
\(80\) −37.9602 78.8251i −0.474502 0.985313i
\(81\) 8.47203 + 37.1184i 0.104593 + 0.458252i
\(82\) −0.104110 + 0.456135i −0.00126963 + 0.00556262i
\(83\) 0.116523 + 0.0561147i 0.00140390 + 0.000676081i 0.434586 0.900631i \(-0.356895\pi\)
−0.433182 + 0.901307i \(0.642609\pi\)
\(84\) −3.91831 + 11.1979i −0.0466466 + 0.133308i
\(85\) −71.0727 113.112i −0.836150 1.33072i
\(86\) 124.529i 1.44801i
\(87\) −37.4605 + 4.84326i −0.430580 + 0.0556697i
\(88\) −84.0356 −0.954950
\(89\) 24.8431 15.6099i 0.279136 0.175392i −0.385187 0.922839i \(-0.625863\pi\)
0.664322 + 0.747446i \(0.268720\pi\)
\(90\) 98.3867 + 34.4270i 1.09319 + 0.382522i
\(91\) 41.2294 85.6138i 0.453071 0.940811i
\(92\) 14.2529 + 3.25314i 0.154923 + 0.0353602i
\(93\) 1.98814 0.453780i 0.0213778 0.00487935i
\(94\) 65.9118 31.7415i 0.701190 0.337675i
\(95\) 15.0734 + 133.780i 0.158667 + 1.40821i
\(96\) −17.1940 13.7117i −0.179104 0.142831i
\(97\) 23.5730 8.24856i 0.243021 0.0850367i −0.206020 0.978548i \(-0.566051\pi\)
0.449041 + 0.893511i \(0.351766\pi\)
\(98\) 4.00858 35.5771i 0.0409038 0.363032i
\(99\) 49.9837 49.9837i 0.504886 0.504886i
\(100\) −38.2792 + 30.5267i −0.382792 + 0.305267i
\(101\) 83.3997 132.730i 0.825740 1.31416i −0.121162 0.992633i \(-0.538662\pi\)
0.946901 0.321524i \(-0.104195\pi\)
\(102\) 30.0517 + 18.8827i 0.294624 + 0.185125i
\(103\) −74.0720 92.8833i −0.719146 0.901780i 0.279144 0.960249i \(-0.409949\pi\)
−0.998289 + 0.0584693i \(0.981378\pi\)
\(104\) 69.7386 + 69.7386i 0.670563 + 0.670563i
\(105\) −90.5696 10.2047i −0.862568 0.0971881i
\(106\) −43.4503 124.174i −0.409909 1.17145i
\(107\) −82.4205 + 103.352i −0.770285 + 0.965907i −0.999973 0.00735775i \(-0.997658\pi\)
0.229688 + 0.973264i \(0.426229\pi\)
\(108\) 22.9754 2.58870i 0.212735 0.0239695i
\(109\) 90.6920 + 188.324i 0.832037 + 1.72774i 0.671892 + 0.740649i \(0.265482\pi\)
0.160144 + 0.987094i \(0.448804\pi\)
\(110\) −30.7375 134.670i −0.279432 1.22427i
\(111\) −6.13208 + 26.8664i −0.0552439 + 0.242039i
\(112\) 78.8337 + 37.9643i 0.703872 + 0.338967i
\(113\) −9.02228 + 25.7842i −0.0798432 + 0.228179i −0.976884 0.213768i \(-0.931426\pi\)
0.897041 + 0.441947i \(0.145712\pi\)
\(114\) −19.0296 30.2854i −0.166926 0.265661i
\(115\) 112.314i 0.976647i
\(116\) −0.517082 31.5708i −0.00445760 0.272162i
\(117\) −82.9600 −0.709060
\(118\) −33.9274 + 21.3180i −0.287521 + 0.180661i
\(119\) 126.105 + 44.1259i 1.05970 + 0.370806i
\(120\) 41.0440 85.2287i 0.342033 0.710239i
\(121\) 26.6399 + 6.08039i 0.220165 + 0.0502511i
\(122\) 100.238 22.8787i 0.821625 0.187531i
\(123\) −0.321787 + 0.154965i −0.00261616 + 0.00125987i
\(124\) 0.190865 + 1.69397i 0.00153923 + 0.0136611i
\(125\) −130.587 104.139i −1.04469 0.833114i
\(126\) −98.3975 + 34.4308i −0.780932 + 0.273260i
\(127\) 3.73540 33.1526i 0.0294126 0.261044i −0.970397 0.241516i \(-0.922355\pi\)
0.999809 0.0195276i \(-0.00621621\pi\)
\(128\) −37.4769 + 37.4769i −0.292788 + 0.292788i
\(129\) −74.3227 + 59.2704i −0.576145 + 0.459460i
\(130\) −86.2503 + 137.267i −0.663464 + 1.05590i
\(131\) −5.80196 3.64561i −0.0442898 0.0278291i 0.509705 0.860349i \(-0.329754\pi\)
−0.553995 + 0.832520i \(0.686897\pi\)
\(132\) −8.55780 10.7311i −0.0648318 0.0812965i
\(133\) −95.2055 95.2055i −0.715831 0.715831i
\(134\) −105.801 11.9209i −0.789562 0.0889623i
\(135\) 58.6661 + 167.658i 0.434564 + 1.24191i
\(136\) −86.4562 + 108.413i −0.635707 + 0.797152i
\(137\) −66.1910 + 7.45794i −0.483146 + 0.0544375i −0.350179 0.936683i \(-0.613879\pi\)
−0.132968 + 0.991120i \(0.542451\pi\)
\(138\) −12.9470 26.8848i −0.0938191 0.194817i
\(139\) −26.8670 117.712i −0.193287 0.846848i −0.974822 0.222985i \(-0.928420\pi\)
0.781534 0.623862i \(-0.214437\pi\)
\(140\) 16.9537 74.2789i 0.121098 0.530563i
\(141\) 50.3155 + 24.2307i 0.356848 + 0.171849i
\(142\) 57.4933 164.307i 0.404883 1.15709i
\(143\) 58.4906 + 93.0873i 0.409025 + 0.650960i
\(144\) 76.3900i 0.530486i
\(145\) 235.578 57.8439i 1.62468 0.398923i
\(146\) −46.9578 −0.321629
\(147\) 23.1414 14.5407i 0.157425 0.0989165i
\(148\) −21.7433 7.60832i −0.146914 0.0514076i
\(149\) −35.6122 + 73.9495i −0.239008 + 0.496306i −0.985625 0.168949i \(-0.945963\pi\)
0.746617 + 0.665255i \(0.231677\pi\)
\(150\) 97.4289 + 22.2375i 0.649526 + 0.148250i
\(151\) −25.5032 + 5.82094i −0.168895 + 0.0385493i −0.306132 0.951989i \(-0.599035\pi\)
0.137237 + 0.990538i \(0.456178\pi\)
\(152\) 125.904 60.6324i 0.828318 0.398897i
\(153\) −13.0595 115.907i −0.0853564 0.757559i
\(154\) 108.009 + 86.1340i 0.701355 + 0.559312i
\(155\) −12.3614 + 4.32544i −0.0797510 + 0.0279061i
\(156\) −1.80359 + 16.0073i −0.0115615 + 0.102611i
\(157\) −150.103 + 150.103i −0.956069 + 0.956069i −0.999075 0.0430058i \(-0.986307\pi\)
0.0430058 + 0.999075i \(0.486307\pi\)
\(158\) 15.8135 12.6109i 0.100085 0.0798155i
\(159\) 53.4304 85.0340i 0.336040 0.534805i
\(160\) 119.586 + 75.1409i 0.747413 + 0.469630i
\(161\) −70.0345 87.8205i −0.434997 0.545469i
\(162\) 45.9344 + 45.9344i 0.283546 + 0.283546i
\(163\) 296.077 + 33.3599i 1.81642 + 0.204662i 0.953648 0.300926i \(-0.0972956\pi\)
0.862775 + 0.505587i \(0.168724\pi\)
\(164\) −0.0986077 0.281805i −0.000601267 0.00171832i
\(165\) 65.7455 82.4422i 0.398458 0.499650i
\(166\) 0.219281 0.0247070i 0.00132097 0.000148837i
\(167\) −11.8990 24.7085i −0.0712514 0.147955i 0.862301 0.506396i \(-0.169023\pi\)
−0.933552 + 0.358441i \(0.883308\pi\)
\(168\) 21.0520 + 92.2350i 0.125310 + 0.549018i
\(169\) −8.89530 + 38.9729i −0.0526349 + 0.230609i
\(170\) −205.358 98.8951i −1.20799 0.581736i
\(171\) −38.8233 + 110.951i −0.227037 + 0.648834i
\(172\) −42.2782 67.2854i −0.245804 0.391194i
\(173\) 70.3363i 0.406568i −0.979120 0.203284i \(-0.934838\pi\)
0.979120 0.203284i \(-0.0651615\pi\)
\(174\) −49.7227 + 41.0024i −0.285762 + 0.235646i
\(175\) 376.185 2.14963
\(176\) −85.7153 + 53.8585i −0.487019 + 0.306014i
\(177\) −28.8713 10.1025i −0.163114 0.0570762i
\(178\) 21.7207 45.1034i 0.122026 0.253390i
\(179\) −156.687 35.7629i −0.875349 0.199793i −0.238837 0.971060i \(-0.576766\pi\)
−0.636512 + 0.771267i \(0.719623\pi\)
\(180\) −64.8485 + 14.8013i −0.360270 + 0.0822292i
\(181\) −227.552 + 109.583i −1.25719 + 0.605432i −0.939431 0.342739i \(-0.888645\pi\)
−0.317761 + 0.948171i \(0.602931\pi\)
\(182\) −18.1531 161.113i −0.0997423 0.885237i
\(183\) 61.3639 + 48.9361i 0.335322 + 0.267410i
\(184\) 110.041 38.5051i 0.598050 0.209267i
\(185\) 19.8149 175.862i 0.107108 0.950606i
\(186\) 2.46034 2.46034i 0.0132277 0.0132277i
\(187\) −120.848 + 96.3732i −0.646247 + 0.515365i
\(188\) −24.8371 + 39.5280i −0.132112 + 0.210255i
\(189\) −150.416 94.5129i −0.795854 0.500068i
\(190\) 143.217 + 179.589i 0.753775 + 0.945204i
\(191\) −78.7301 78.7301i −0.412199 0.412199i 0.470305 0.882504i \(-0.344144\pi\)
−0.882504 + 0.470305i \(0.844144\pi\)
\(192\) −91.4375 10.3025i −0.476237 0.0536590i
\(193\) 48.1790 + 137.688i 0.249632 + 0.713408i 0.998703 + 0.0509180i \(0.0162147\pi\)
−0.749070 + 0.662490i \(0.769500\pi\)
\(194\) 26.5683 33.3155i 0.136950 0.171730i
\(195\) −122.977 + 13.8561i −0.630649 + 0.0710571i
\(196\) 9.91272 + 20.5840i 0.0505751 + 0.105020i
\(197\) 45.2414 + 198.216i 0.229652 + 1.00617i 0.949924 + 0.312480i \(0.101160\pi\)
−0.720272 + 0.693691i \(0.755983\pi\)
\(198\) 26.8381 117.585i 0.135546 0.593865i
\(199\) −223.780 107.767i −1.12452 0.541542i −0.223237 0.974764i \(-0.571662\pi\)
−0.901287 + 0.433222i \(0.857377\pi\)
\(200\) −128.954 + 368.531i −0.644772 + 1.84265i
\(201\) −43.2421 68.8194i −0.215135 0.342385i
\(202\) 267.463i 1.32407i
\(203\) −148.134 + 192.126i −0.729723 + 0.946433i
\(204\) −22.6483 −0.111021
\(205\) 1.94212 1.22031i 0.00947375 0.00595275i
\(206\) −191.328 66.9487i −0.928779 0.324994i
\(207\) −42.5492 + 88.3543i −0.205552 + 0.426832i
\(208\) 115.828 + 26.4370i 0.556866 + 0.127101i
\(209\) 151.867 34.6627i 0.726638 0.165850i
\(210\) −140.110 + 67.4733i −0.667189 + 0.321301i
\(211\) −10.1040 89.6752i −0.0478861 0.425001i −0.994668 0.103126i \(-0.967115\pi\)
0.946782 0.321875i \(-0.104313\pi\)
\(212\) 65.6349 + 52.3421i 0.309598 + 0.246897i
\(213\) 125.428 43.8890i 0.588862 0.206052i
\(214\) −25.2535 + 224.131i −0.118007 + 1.04734i
\(215\) 431.686 431.686i 2.00784 2.00784i
\(216\) 144.152 114.957i 0.667370 0.532210i
\(217\) 6.96842 11.0902i 0.0321125 0.0511068i
\(218\) 301.977 + 189.745i 1.38522 + 0.870389i
\(219\) −22.3499 28.0259i −0.102054 0.127972i
\(220\) 62.3293 + 62.3293i 0.283315 + 0.283315i
\(221\) 180.266 + 20.3110i 0.815681 + 0.0919052i
\(222\) 15.5294 + 44.3804i 0.0699522 + 0.199912i
\(223\) 108.671 136.270i 0.487316 0.611075i −0.476000 0.879445i \(-0.657914\pi\)
0.963316 + 0.268371i \(0.0864852\pi\)
\(224\) −140.361 + 15.8149i −0.626611 + 0.0706022i
\(225\) −142.498 295.901i −0.633325 1.31511i
\(226\) 10.3715 + 45.4406i 0.0458917 + 0.201065i
\(227\) −78.3123 + 343.109i −0.344988 + 1.51149i 0.443405 + 0.896321i \(0.353770\pi\)
−0.788394 + 0.615171i \(0.789087\pi\)
\(228\) 20.5641 + 9.90316i 0.0901936 + 0.0434349i
\(229\) 72.4465 207.040i 0.316360 0.904106i −0.670411 0.741990i \(-0.733882\pi\)
0.986772 0.162116i \(-0.0518319\pi\)
\(230\) 101.955 + 162.261i 0.443284 + 0.705482i
\(231\) 105.459i 0.456533i
\(232\) −137.437 210.980i −0.592402 0.909395i
\(233\) 20.3820 0.0874763 0.0437381 0.999043i \(-0.486073\pi\)
0.0437381 + 0.999043i \(0.486073\pi\)
\(234\) −119.853 + 75.3083i −0.512190 + 0.321830i
\(235\) −338.521 118.454i −1.44051 0.504058i
\(236\) 11.0941 23.0371i 0.0470089 0.0976149i
\(237\) 15.0531 + 3.43577i 0.0635152 + 0.0144969i
\(238\) 222.240 50.7247i 0.933780 0.213129i
\(239\) 247.461 119.171i 1.03540 0.498623i 0.162597 0.986693i \(-0.448013\pi\)
0.872805 + 0.488070i \(0.162299\pi\)
\(240\) −12.7588 113.237i −0.0531617 0.471823i
\(241\) 174.583 + 139.225i 0.724409 + 0.577697i 0.914750 0.404021i \(-0.132388\pi\)
−0.190341 + 0.981718i \(0.560959\pi\)
\(242\) 44.0063 15.3985i 0.181844 0.0636301i
\(243\) −26.9506 + 239.193i −0.110908 + 0.984333i
\(244\) −46.3933 + 46.3933i −0.190137 + 0.190137i
\(245\) −137.226 + 109.434i −0.560106 + 0.446670i
\(246\) −0.324215 + 0.515985i −0.00131795 + 0.00209750i
\(247\) −154.796 97.2645i −0.626703 0.393783i
\(248\) 8.47579 + 10.6283i 0.0341766 + 0.0428561i
\(249\) 0.119114 + 0.119114i 0.000478370 + 0.000478370i
\(250\) −283.193 31.9082i −1.13277 0.127633i
\(251\) −93.9755 268.567i −0.374404 1.06999i −0.964826 0.262891i \(-0.915324\pi\)
0.590421 0.807095i \(-0.298962\pi\)
\(252\) 41.4767 52.0102i 0.164590 0.206389i
\(253\) 129.139 14.5505i 0.510432 0.0575118i
\(254\) −24.6983 51.2865i −0.0972373 0.201915i
\(255\) −38.7178 169.634i −0.151835 0.665231i
\(256\) 42.7584 187.337i 0.167025 0.731784i
\(257\) 258.752 + 124.608i 1.00682 + 0.484857i 0.863246 0.504784i \(-0.168428\pi\)
0.143569 + 0.989640i \(0.454142\pi\)
\(258\) −53.5705 + 153.096i −0.207638 + 0.593394i
\(259\) 94.1666 + 149.865i 0.363577 + 0.578630i
\(260\) 103.450i 0.397886i
\(261\) 207.236 + 43.7425i 0.794007 + 0.167596i
\(262\) −11.6915 −0.0446239
\(263\) 179.053 112.507i 0.680810 0.427782i −0.146738 0.989175i \(-0.546878\pi\)
0.827549 + 0.561394i \(0.189735\pi\)
\(264\) −103.313 36.1509i −0.391338 0.136935i
\(265\) −279.833 + 581.079i −1.05597 + 2.19275i
\(266\) −223.968 51.1192i −0.841985 0.192178i
\(267\) 37.2572 8.50372i 0.139540 0.0318491i
\(268\) 61.2138 29.4790i 0.228410 0.109996i
\(269\) 0.714016 + 6.33707i 0.00265434 + 0.0235579i 0.994970 0.100178i \(-0.0319411\pi\)
−0.992315 + 0.123736i \(0.960513\pi\)
\(270\) 236.949 + 188.961i 0.877591 + 0.699855i
\(271\) −249.689 + 87.3701i −0.921363 + 0.322399i −0.748950 0.662626i \(-0.769442\pi\)
−0.172412 + 0.985025i \(0.555156\pi\)
\(272\) −18.7025 + 165.989i −0.0687593 + 0.610255i
\(273\) 87.5173 87.5173i 0.320576 0.320576i
\(274\) −88.8563 + 70.8605i −0.324293 + 0.258615i
\(275\) −231.555 + 368.517i −0.842017 + 1.34006i
\(276\) 16.1231 + 10.1308i 0.0584170 + 0.0367058i
\(277\) −227.456 285.220i −0.821140 1.02968i −0.998959 0.0456136i \(-0.985476\pi\)
0.177819 0.984063i \(-0.443096\pi\)
\(278\) −145.670 145.670i −0.523992 0.523992i
\(279\) −11.3630 1.28030i −0.0407275 0.00458889i
\(280\) −200.669 573.478i −0.716674 2.04814i
\(281\) −34.9750 + 43.8573i −0.124466 + 0.156076i −0.840160 0.542338i \(-0.817539\pi\)
0.715694 + 0.698414i \(0.246111\pi\)
\(282\) 94.6868 10.6686i 0.335769 0.0378320i
\(283\) 22.9297 + 47.6140i 0.0810237 + 0.168247i 0.937545 0.347865i \(-0.113093\pi\)
−0.856521 + 0.516112i \(0.827379\pi\)
\(284\) 24.7182 + 108.298i 0.0870359 + 0.381329i
\(285\) −39.0189 + 170.953i −0.136909 + 0.599836i
\(286\) 169.003 + 81.3876i 0.590920 + 0.284572i
\(287\) −0.757639 + 2.16521i −0.00263986 + 0.00754428i
\(288\) 65.6082 + 104.415i 0.227806 + 0.362552i
\(289\) 33.9469i 0.117463i
\(290\) 287.832 297.418i 0.992524 1.02558i
\(291\) 32.5291 0.111784
\(292\) 25.3723 15.9424i 0.0868913 0.0545974i
\(293\) −26.3205 9.20996i −0.0898312 0.0314333i 0.284989 0.958531i \(-0.408010\pi\)
−0.374821 + 0.927097i \(0.622296\pi\)
\(294\) 20.2329 42.0141i 0.0688194 0.142905i
\(295\) 191.511 + 43.7112i 0.649191 + 0.148174i
\(296\) −179.096 + 40.8775i −0.605054 + 0.138100i
\(297\) 185.173 89.1747i 0.623478 0.300251i
\(298\) 15.6799 + 139.163i 0.0526170 + 0.466989i
\(299\) −119.244 95.0937i −0.398809 0.318039i
\(300\) −60.1926 + 21.0623i −0.200642 + 0.0702077i
\(301\) −68.3613 + 606.724i −0.227114 + 2.01569i
\(302\) −31.5605 + 31.5605i −0.104505 + 0.104505i
\(303\) 159.630 127.301i 0.526832 0.420134i
\(304\) 89.5617 142.537i 0.294611 0.468870i
\(305\) −426.792 268.171i −1.39932 0.879250i
\(306\) −124.083 155.595i −0.405501 0.508482i
\(307\) −317.297 317.297i −1.03354 1.03354i −0.999418 0.0341225i \(-0.989136\pi\)
−0.0341225 0.999418i \(-0.510864\pi\)
\(308\) −87.6023 9.87041i −0.284423 0.0320468i
\(309\) −51.1070 146.056i −0.165395 0.472672i
\(310\) −13.9321 + 17.4702i −0.0449421 + 0.0563556i
\(311\) −452.122 + 50.9419i −1.45377 + 0.163800i −0.803228 0.595671i \(-0.796886\pi\)
−0.650540 + 0.759472i \(0.725457\pi\)
\(312\) 55.7361 + 115.737i 0.178641 + 0.370952i
\(313\) 75.0822 + 328.956i 0.239879 + 1.05098i 0.941125 + 0.338059i \(0.109770\pi\)
−0.701246 + 0.712920i \(0.747372\pi\)
\(314\) −80.5956 + 353.112i −0.256674 + 1.12456i
\(315\) 460.457 + 221.744i 1.46177 + 0.703950i
\(316\) −4.26290 + 12.1827i −0.0134902 + 0.0385528i
\(317\) 33.4800 + 53.2832i 0.105615 + 0.168086i 0.895351 0.445362i \(-0.146925\pi\)
−0.789735 + 0.613448i \(0.789782\pi\)
\(318\) 171.351i 0.538840i
\(319\) −97.0285 263.375i −0.304165 0.825625i
\(320\) 590.933 1.84667
\(321\) −145.788 + 91.6049i −0.454169 + 0.285373i
\(322\) −180.900 63.2995i −0.561800 0.196582i
\(323\) 111.524 231.582i 0.345276 0.716972i
\(324\) −40.4143 9.22430i −0.124736 0.0284701i
\(325\) 497.982 113.661i 1.53225 0.349726i
\(326\) 458.026 220.574i 1.40499 0.676607i
\(327\) 30.4825 + 270.540i 0.0932187 + 0.827339i
\(328\) −1.86144 1.48445i −0.00567511 0.00452575i
\(329\) 338.558 118.466i 1.02905 0.360080i
\(330\) 20.1444 178.786i 0.0610435 0.541776i
\(331\) 286.146 286.146i 0.864490 0.864490i −0.127366 0.991856i \(-0.540652\pi\)
0.991856 + 0.127366i \(0.0406523\pi\)
\(332\) −0.110094 + 0.0877968i −0.000331607 + 0.000264448i
\(333\) 82.2113 130.839i 0.246881 0.392909i
\(334\) −39.6200 24.8949i −0.118623 0.0745357i
\(335\) 325.442 + 408.091i 0.971468 + 1.21818i
\(336\) 80.5864 + 80.5864i 0.239841 + 0.239841i
\(337\) −264.583 29.8114i −0.785114 0.0884611i −0.289699 0.957118i \(-0.593555\pi\)
−0.495414 + 0.868657i \(0.664984\pi\)
\(338\) 22.5272 + 64.3790i 0.0666485 + 0.190471i
\(339\) −22.1840 + 27.8178i −0.0654395 + 0.0820585i
\(340\) 144.535 16.2851i 0.425102 0.0478974i
\(341\) 6.57483 + 13.6528i 0.0192810 + 0.0400375i
\(342\) 44.6292 + 195.533i 0.130495 + 0.571735i
\(343\) −52.1537 + 228.500i −0.152052 + 0.666182i
\(344\) −570.945 274.953i −1.65972 0.799281i
\(345\) −48.3161 + 138.079i −0.140047 + 0.400230i
\(346\) −63.8490 101.615i −0.184535 0.293685i
\(347\) 77.2491i 0.222620i −0.993786 0.111310i \(-0.964495\pi\)
0.993786 0.111310i \(-0.0355046\pi\)
\(348\) 12.9456 39.0356i 0.0372000 0.112171i
\(349\) 16.2689 0.0466157 0.0233079 0.999728i \(-0.492580\pi\)
0.0233079 + 0.999728i \(0.492580\pi\)
\(350\) 543.475 341.488i 1.55279 0.975680i
\(351\) −227.673 79.6662i −0.648641 0.226969i
\(352\) 70.9045 147.235i 0.201433 0.418280i
\(353\) 64.7164 + 14.7711i 0.183332 + 0.0418444i 0.313201 0.949687i \(-0.398599\pi\)
−0.129869 + 0.991531i \(0.541456\pi\)
\(354\) −50.8811 + 11.6133i −0.143732 + 0.0328059i
\(355\) −768.882 + 370.274i −2.16587 + 1.04303i
\(356\) 3.57676 + 31.7446i 0.0100471 + 0.0891702i
\(357\) 136.051 + 108.497i 0.381094 + 0.303912i
\(358\) −258.831 + 90.5689i −0.722992 + 0.252986i
\(359\) −1.89890 + 16.8532i −0.00528941 + 0.0469449i −0.996080 0.0884608i \(-0.971805\pi\)
0.990790 + 0.135406i \(0.0432338\pi\)
\(360\) −375.075 + 375.075i −1.04188 + 1.04188i
\(361\) 79.7189 63.5737i 0.220828 0.176105i
\(362\) −229.269 + 364.879i −0.633339 + 1.00795i
\(363\) 30.1354 + 18.9353i 0.0830177 + 0.0521635i
\(364\) 64.5073 + 80.8896i 0.177218 + 0.222224i
\(365\) 162.782 + 162.782i 0.445978 + 0.445978i
\(366\) 133.075 + 14.9940i 0.363593 + 0.0409671i
\(367\) −9.38650 26.8251i −0.0255763 0.0730929i 0.930387 0.366578i \(-0.119471\pi\)
−0.955964 + 0.293485i \(0.905185\pi\)
\(368\) 87.5628 109.800i 0.237942 0.298370i
\(369\) 1.99011 0.224231i 0.00539325 0.000607673i
\(370\) −131.015 272.056i −0.354095 0.735286i
\(371\) −143.530 628.847i −0.386874 1.69501i
\(372\) −0.494073 + 2.16468i −0.00132815 + 0.00581902i
\(373\) −208.198 100.263i −0.558171 0.268801i 0.133457 0.991055i \(-0.457392\pi\)
−0.691628 + 0.722254i \(0.743106\pi\)
\(374\) −87.1053 + 248.933i −0.232902 + 0.665595i
\(375\) −115.744 184.205i −0.308650 0.491214i
\(376\) 372.279i 0.990104i
\(377\) −138.046 + 299.088i −0.366169 + 0.793336i
\(378\) −303.103 −0.801859
\(379\) −135.794 + 85.3248i −0.358295 + 0.225131i −0.699135 0.714990i \(-0.746431\pi\)
0.340840 + 0.940121i \(0.389288\pi\)
\(380\) −138.355 48.4124i −0.364091 0.127401i
\(381\) 18.8541 39.1509i 0.0494858 0.102758i
\(382\) −185.210 42.2730i −0.484843 0.110662i
\(383\) −244.516 + 55.8092i −0.638424 + 0.145716i −0.529467 0.848330i \(-0.677608\pi\)
−0.108957 + 0.994047i \(0.534751\pi\)
\(384\) −62.1961 + 29.9520i −0.161969 + 0.0780001i
\(385\) −75.8297 673.007i −0.196960 1.74807i
\(386\) 194.593 + 155.183i 0.504126 + 0.402027i
\(387\) 503.134 176.054i 1.30009 0.454920i
\(388\) −3.04455 + 27.0211i −0.00784678 + 0.0696421i
\(389\) 231.524 231.524i 0.595179 0.595179i −0.343847 0.939026i \(-0.611730\pi\)
0.939026 + 0.343847i \(0.111730\pi\)
\(390\) −165.086 + 131.652i −0.423298 + 0.337569i
\(391\) 114.088 181.570i 0.291784 0.464372i
\(392\) 154.265 + 96.9310i 0.393533 + 0.247273i
\(393\) −5.56464 6.97784i −0.0141594 0.0177553i
\(394\) 245.294 + 245.294i 0.622574 + 0.622574i
\(395\) −98.5347 11.1022i −0.249455 0.0281068i
\(396\) 25.4197 + 72.6454i 0.0641912 + 0.183448i
\(397\) 174.313 218.581i 0.439075 0.550583i −0.512224 0.858852i \(-0.671178\pi\)
0.951299 + 0.308269i \(0.0997496\pi\)
\(398\) −421.123 + 47.4492i −1.05810 + 0.119219i
\(399\) −76.0896 158.002i −0.190701 0.395994i
\(400\) 104.660 + 458.544i 0.261649 + 1.14636i
\(401\) 11.6128 50.8791i 0.0289597 0.126881i −0.958382 0.285490i \(-0.907844\pi\)
0.987341 + 0.158609i \(0.0507009\pi\)
\(402\) −124.944 60.1698i −0.310806 0.149676i
\(403\) 5.87377 16.7863i 0.0145751 0.0416533i
\(404\) 90.8051 + 144.516i 0.224765 + 0.357712i
\(405\) 318.469i 0.786342i
\(406\) −39.6037 + 412.036i −0.0975459 + 1.01487i
\(407\) −204.773 −0.503129
\(408\) −152.927 + 96.0903i −0.374821 + 0.235515i
\(409\) 718.514 + 251.419i 1.75676 + 0.614716i 0.999273 0.0381358i \(-0.0121419\pi\)
0.757485 + 0.652852i \(0.226428\pi\)
\(410\) 1.69802 3.52598i 0.00414152 0.00859996i
\(411\) −84.5836 19.3056i −0.205799 0.0469724i
\(412\) 126.108 28.7834i 0.306088 0.0698625i
\(413\) −177.003 + 85.2399i −0.428577 + 0.206392i
\(414\) 18.7342 + 166.270i 0.0452516 + 0.401619i
\(415\) −0.845798 0.674501i −0.00203807 0.00162530i
\(416\) −181.027 + 63.3441i −0.435161 + 0.152270i
\(417\) 17.6077 156.273i 0.0422247 0.374755i
\(418\) 187.937 187.937i 0.449611 0.449611i
\(419\) 277.644 221.413i 0.662634 0.528433i −0.233421 0.972376i \(-0.574992\pi\)
0.896055 + 0.443943i \(0.146421\pi\)
\(420\) 52.7966 84.0252i 0.125706 0.200060i
\(421\) 549.468 + 345.254i 1.30515 + 0.820080i 0.991581 0.129486i \(-0.0413327\pi\)
0.313568 + 0.949566i \(0.398476\pi\)
\(422\) −96.0014 120.382i −0.227492 0.285265i
\(423\) −221.429 221.429i −0.523472 0.523472i
\(424\) 665.254 + 74.9561i 1.56900 + 0.176783i
\(425\) 237.192 + 677.856i 0.558099 + 1.59496i
\(426\) 141.365 177.266i 0.331842 0.416117i
\(427\) 500.936 56.4420i 1.17315 0.132183i
\(428\) −62.4489 129.677i −0.145909 0.302983i
\(429\) 31.8636 + 139.603i 0.0742741 + 0.325416i
\(430\) 231.788 1015.53i 0.539041 2.36169i
\(431\) −267.983 129.054i −0.621771 0.299429i 0.0963498 0.995348i \(-0.469283\pi\)
−0.718121 + 0.695918i \(0.754998\pi\)
\(432\) 73.3571 209.642i 0.169808 0.485283i
\(433\) −188.276 299.639i −0.434817 0.692007i 0.555394 0.831587i \(-0.312568\pi\)
−0.990211 + 0.139580i \(0.955425\pi\)
\(434\) 22.3477i 0.0514924i
\(435\) 314.504 + 30.2292i 0.722997 + 0.0694924i
\(436\) −227.584 −0.521981
\(437\) −182.982 + 114.975i −0.418722 + 0.263101i
\(438\) −57.7299 20.2006i −0.131803 0.0461200i
\(439\) −287.672 + 597.356i −0.655289 + 1.36072i 0.262995 + 0.964797i \(0.415290\pi\)
−0.918283 + 0.395923i \(0.870425\pi\)
\(440\) 685.308 + 156.417i 1.55752 + 0.355493i
\(441\) −149.409 + 34.1017i −0.338797 + 0.0773282i
\(442\) 278.868 134.296i 0.630922 0.303836i
\(443\) −42.8152 379.995i −0.0966483 0.857777i −0.944716 0.327889i \(-0.893663\pi\)
0.848068 0.529888i \(-0.177766\pi\)
\(444\) −23.4583 18.7073i −0.0528339 0.0421336i
\(445\) −231.649 + 81.0577i −0.520561 + 0.182152i
\(446\) 33.2968 295.517i 0.0746565 0.662595i
\(447\) −75.5937 + 75.5937i −0.169113 + 0.169113i
\(448\) −462.061 + 368.481i −1.03139 + 0.822503i
\(449\) −154.314 + 245.590i −0.343685 + 0.546971i −0.973183 0.230031i \(-0.926117\pi\)
0.629499 + 0.777001i \(0.283260\pi\)
\(450\) −474.476 298.133i −1.05439 0.662518i
\(451\) −1.65472 2.07496i −0.00366901 0.00460079i
\(452\) −21.0313 21.0313i −0.0465294 0.0465294i
\(453\) −33.8577 3.81485i −0.0747411 0.00842130i
\(454\) 198.325 + 566.779i 0.436839 + 1.24841i
\(455\) −495.579 + 621.437i −1.08919 + 1.36580i
\(456\) 180.870 20.3792i 0.396645 0.0446911i
\(457\) 74.1101 + 153.891i 0.162166 + 0.336742i 0.966180 0.257869i \(-0.0830203\pi\)
−0.804013 + 0.594611i \(0.797306\pi\)
\(458\) −83.2806 364.876i −0.181835 0.796673i
\(459\) 75.4644 330.631i 0.164411 0.720330i
\(460\) −110.177 53.0585i −0.239515 0.115345i
\(461\) 223.278 638.091i 0.484334 1.38415i −0.399667 0.916660i \(-0.630874\pi\)
0.884001 0.467486i \(-0.154840\pi\)
\(462\) 95.7322 + 152.357i 0.207213 + 0.329777i
\(463\) 298.561i 0.644841i 0.946597 + 0.322420i \(0.104496\pi\)
−0.946597 + 0.322420i \(0.895504\pi\)
\(464\) −275.401 127.113i −0.593538 0.273951i
\(465\) −17.0578 −0.0366835
\(466\) 29.4459 18.5021i 0.0631886 0.0397040i
\(467\) 601.371 + 210.429i 1.28773 + 0.450597i 0.885372 0.464884i \(-0.153904\pi\)
0.402361 + 0.915481i \(0.368190\pi\)
\(468\) 39.1911 81.3812i 0.0837418 0.173892i
\(469\) −508.937 116.161i −1.08515 0.247679i
\(470\) −596.590 + 136.168i −1.26934 + 0.289719i
\(471\) −249.109 + 119.964i −0.528893 + 0.254701i
\(472\) −22.8299 202.621i −0.0483684 0.429282i
\(473\) −552.279 440.427i −1.16761 0.931136i
\(474\) 24.8661 8.70104i 0.0524602 0.0183566i
\(475\) 81.0334 719.191i 0.170597 1.51409i
\(476\) −102.859 + 102.859i −0.216091 + 0.216091i
\(477\) −440.272 + 351.105i −0.923001 + 0.736069i
\(478\) 249.328 396.803i 0.521607 0.830132i
\(479\) 640.189 + 402.257i 1.33651 + 0.839785i 0.994979 0.100085i \(-0.0319114\pi\)
0.341532 + 0.939870i \(0.389054\pi\)
\(480\) 114.695 + 143.822i 0.238947 + 0.299630i
\(481\) 169.935 + 169.935i 0.353296 + 0.353296i
\(482\) 378.604 + 42.6584i 0.785485 + 0.0885029i
\(483\) −48.3213 138.094i −0.100044 0.285910i
\(484\) −18.5496 + 23.2605i −0.0383257 + 0.0480589i
\(485\) −207.591 + 23.3898i −0.428022 + 0.0482265i
\(486\) 178.196 + 370.028i 0.366658 + 0.761373i
\(487\) 37.7010 + 165.179i 0.0774148 + 0.339176i 0.998772 0.0495403i \(-0.0157756\pi\)
−0.921357 + 0.388717i \(0.872918\pi\)
\(488\) −116.425 + 510.092i −0.238576 + 1.04527i
\(489\) 349.646 + 168.381i 0.715023 + 0.344337i
\(490\) −98.9102 + 282.669i −0.201857 + 0.576875i
\(491\) 419.070 + 666.946i 0.853503 + 1.35834i 0.932388 + 0.361458i \(0.117721\pi\)
−0.0788859 + 0.996884i \(0.525136\pi\)
\(492\) 0.388870i 0.000790387i
\(493\) −439.598 145.786i −0.891679 0.295713i
\(494\) −311.927 −0.631431
\(495\) −500.652 + 314.580i −1.01142 + 0.635516i
\(496\) 15.4569 + 5.40860i 0.0311631 + 0.0109044i
\(497\) 370.314 768.966i 0.745099 1.54722i
\(498\) 0.280212 + 0.0639566i 0.000562675 + 0.000128427i
\(499\) 450.785 102.889i 0.903376 0.206190i 0.254490 0.967075i \(-0.418092\pi\)
0.648886 + 0.760886i \(0.275235\pi\)
\(500\) 163.848 78.9050i 0.327696 0.157810i
\(501\) −3.99937 35.4954i −0.00798277 0.0708491i
\(502\) −379.562 302.691i −0.756100 0.602970i
\(503\) −142.888 + 49.9987i −0.284072 + 0.0994010i −0.468554 0.883435i \(-0.655225\pi\)
0.184482 + 0.982836i \(0.440939\pi\)
\(504\) 59.3965 527.158i 0.117850 1.04595i
\(505\) −927.175 + 927.175i −1.83599 + 1.83599i
\(506\) 173.359 138.249i 0.342607 0.273220i
\(507\) −27.7015 + 44.0866i −0.0546380 + 0.0869558i
\(508\) 30.7570 + 19.3259i 0.0605454 + 0.0380432i
\(509\) −505.672 634.093i −0.993462 1.24576i −0.969256 0.246054i \(-0.920866\pi\)
−0.0242055 0.999707i \(-0.507706\pi\)
\(510\) −209.924 209.924i −0.411615 0.411615i
\(511\) −228.786 25.7780i −0.447722 0.0504461i
\(512\) −178.304 509.565i −0.348251 0.995243i
\(513\) −213.091 + 267.208i −0.415382 + 0.520873i
\(514\) 486.934 54.8643i 0.947343 0.106740i
\(515\) 431.169 + 895.333i 0.837222 + 1.73851i
\(516\) −23.0316 100.908i −0.0446350 0.195559i
\(517\) −92.3421 + 404.577i −0.178611 + 0.782548i
\(518\) 272.085 + 131.029i 0.525261 + 0.252952i
\(519\) 30.2577 86.4715i 0.0583000 0.166612i
\(520\) −438.910 698.522i −0.844058 1.34331i
\(521\) 17.4200i 0.0334356i −0.999860 0.0167178i \(-0.994678\pi\)
0.999860 0.0167178i \(-0.00532169\pi\)
\(522\) 339.102 124.927i 0.649621 0.239323i
\(523\) 347.118 0.663706 0.331853 0.943331i \(-0.392326\pi\)
0.331853 + 0.943331i \(0.392326\pi\)
\(524\) 6.31714 3.96932i 0.0120556 0.00757504i
\(525\) 462.482 + 161.829i 0.880917 + 0.308246i
\(526\) 156.549 325.077i 0.297621 0.618017i
\(527\) 24.3774 + 5.56398i 0.0462569 + 0.0105578i
\(528\) −128.548 + 29.3402i −0.243461 + 0.0555685i
\(529\) 314.177 151.300i 0.593907 0.286011i
\(530\) 123.209 + 1093.51i 0.232470 + 2.06323i
\(531\) 134.097 + 106.938i 0.252536 + 0.201391i
\(532\) 138.370 48.4177i 0.260093 0.0910106i
\(533\) −0.348739 + 3.09515i −0.000654295 + 0.00580703i
\(534\) 46.1062 46.1062i 0.0863412 0.0863412i
\(535\) 864.507 689.422i 1.61590 1.28864i
\(536\) 288.259 458.762i 0.537797 0.855899i
\(537\) −177.247 111.372i −0.330069 0.207396i
\(538\) 6.78412 + 8.50702i 0.0126099 + 0.0158123i
\(539\) 143.605 + 143.605i 0.266429 + 0.266429i
\(540\) −192.182 21.6537i −0.355892 0.0400994i
\(541\) 221.641 + 633.412i 0.409687 + 1.17082i 0.945257 + 0.326327i \(0.105811\pi\)
−0.535570 + 0.844491i \(0.679903\pi\)
\(542\) −281.415 + 352.883i −0.519216 + 0.651076i
\(543\) −326.893 + 36.8320i −0.602013 + 0.0678306i
\(544\) −116.998 242.948i −0.215069 0.446596i
\(545\) −389.060 1704.58i −0.713871 3.12767i
\(546\) 46.9912 205.882i 0.0860644 0.377073i
\(547\) 149.344 + 71.9205i 0.273025 + 0.131482i 0.565387 0.824826i \(-0.308727\pi\)
−0.292362 + 0.956308i \(0.594441\pi\)
\(548\) 23.9533 68.4546i 0.0437104 0.124917i
\(549\) −234.150 372.648i −0.426503 0.678776i
\(550\) 742.595i 1.35017i
\(551\) 335.398 + 324.588i 0.608707 + 0.589089i
\(552\) 151.849 0.275089
\(553\) 83.9688 52.7611i 0.151842 0.0954088i
\(554\) −587.520 205.582i −1.06050 0.371087i
\(555\) 100.014 207.681i 0.180205 0.374200i
\(556\) 128.164 + 29.2526i 0.230511 + 0.0526126i
\(557\) −170.373 + 38.8865i −0.305876 + 0.0698142i −0.372704 0.927950i \(-0.621569\pi\)
0.0668279 + 0.997765i \(0.478712\pi\)
\(558\) −17.5783 + 8.46528i −0.0315024 + 0.0151707i
\(559\) 92.8218 + 823.817i 0.166050 + 1.47373i
\(560\) −572.222 456.332i −1.02183 0.814879i
\(561\) −190.029 + 66.4941i −0.338733 + 0.118528i
\(562\) −10.7163 + 95.1098i −0.0190682 + 0.169235i
\(563\) −304.717 + 304.717i −0.541238 + 0.541238i −0.923892 0.382654i \(-0.875010\pi\)
0.382654 + 0.923892i \(0.375010\pi\)
\(564\) −47.5391 + 37.9112i −0.0842892 + 0.0672184i
\(565\) 121.569 193.476i 0.215166 0.342435i
\(566\) 76.3491 + 47.9733i 0.134892 + 0.0847585i
\(567\) 198.584 + 249.016i 0.350236 + 0.439182i
\(568\) 626.378 + 626.378i 1.10278 + 1.10278i
\(569\) −505.078 56.9087i −0.887660 0.100015i −0.343654 0.939097i \(-0.611665\pi\)
−0.544006 + 0.839081i \(0.683093\pi\)
\(570\) 98.8148 + 282.397i 0.173359 + 0.495432i
\(571\) 368.997 462.708i 0.646229 0.810346i −0.345537 0.938405i \(-0.612303\pi\)
0.991767 + 0.128059i \(0.0408747\pi\)
\(572\) −118.947 + 13.4022i −0.207950 + 0.0234303i
\(573\) −62.9222 130.659i −0.109812 0.228027i
\(574\) 0.870941 + 3.81584i 0.00151732 + 0.00664780i
\(575\) 134.357 588.657i 0.233665 1.02375i
\(576\) 464.869 + 223.869i 0.807064 + 0.388662i
\(577\) 72.7651 207.951i 0.126109 0.360400i −0.863468 0.504404i \(-0.831712\pi\)
0.989577 + 0.144004i \(0.0459979\pi\)
\(578\) −30.8159 49.0432i −0.0533147 0.0848498i
\(579\) 189.999i 0.328151i
\(580\) −54.5465 + 258.421i −0.0940457 + 0.445554i
\(581\) 1.08193 0.00186219
\(582\) 46.9949 29.5289i 0.0807472 0.0507369i
\(583\) 704.378 + 246.473i 1.20820 + 0.422766i
\(584\) 103.680 215.294i 0.177535 0.368655i
\(585\) 676.536 + 154.415i 1.15647 + 0.263957i
\(586\) −46.3858 + 10.5873i −0.0791567 + 0.0180670i
\(587\) −6.27948 + 3.02404i −0.0106976 + 0.00515168i −0.439225 0.898377i \(-0.644747\pi\)
0.428527 + 0.903529i \(0.359033\pi\)
\(588\) 3.33177 + 29.5702i 0.00566627 + 0.0502895i
\(589\) −19.7012 15.7112i −0.0334485 0.0266743i
\(590\) 316.357 110.698i 0.536198 0.187624i
\(591\) −29.6497 + 263.149i −0.0501688 + 0.445260i
\(592\) −156.477 + 156.477i −0.264320 + 0.264320i
\(593\) 203.228 162.069i 0.342711 0.273303i −0.436975 0.899474i \(-0.643950\pi\)
0.779686 + 0.626171i \(0.215379\pi\)
\(594\) 186.570 296.925i 0.314091 0.499873i
\(595\) −946.246 594.566i −1.59033 0.999271i
\(596\) −55.7187 69.8690i −0.0934877 0.117230i
\(597\) −228.756 228.756i −0.383175 0.383175i
\(598\) −258.595 29.1366i −0.432433 0.0487234i
\(599\) −139.976 400.030i −0.233683 0.667829i −0.999688 0.0249934i \(-0.992044\pi\)
0.766004 0.642836i \(-0.222242\pi\)
\(600\) −317.073 + 397.597i −0.528455 + 0.662662i
\(601\) 276.392 31.1419i 0.459886 0.0518167i 0.121017 0.992650i \(-0.461384\pi\)
0.338869 + 0.940834i \(0.389956\pi\)
\(602\) 452.002 + 938.591i 0.750834 + 1.55912i
\(603\) 101.414 + 444.323i 0.168182 + 0.736853i
\(604\) 6.33781 27.7677i 0.0104931 0.0459731i
\(605\) −205.930 99.1707i −0.340380 0.163919i
\(606\) 115.059 328.819i 0.189866 0.542605i
\(607\) −550.914 876.775i −0.907602 1.44444i −0.895774 0.444510i \(-0.853378\pi\)
−0.0118280 0.999930i \(-0.503765\pi\)
\(608\) 271.749i 0.446956i
\(609\) −264.765 + 172.475i −0.434754 + 0.283209i
\(610\) −860.025 −1.40988
\(611\) 412.378 259.115i 0.674924 0.424083i
\(612\) 119.870 + 41.9444i 0.195866 + 0.0685366i
\(613\) 35.6576 74.0438i 0.0581690 0.120789i −0.869858 0.493302i \(-0.835790\pi\)
0.928027 + 0.372513i \(0.121504\pi\)
\(614\) −746.431 170.368i −1.21569 0.277472i
\(615\) 2.91260 0.664783i 0.00473594 0.00108095i
\(616\) −633.388 + 305.024i −1.02823 + 0.495168i
\(617\) 118.841 + 1054.75i 0.192612 + 1.70947i 0.603147 + 0.797630i \(0.293913\pi\)
−0.410535 + 0.911845i \(0.634658\pi\)
\(618\) −206.419 164.614i −0.334011 0.266365i
\(619\) −983.102 + 344.002i −1.58821 + 0.555739i −0.972635 0.232339i \(-0.925362\pi\)
−0.615575 + 0.788078i \(0.711076\pi\)
\(620\) 1.59652 14.1695i 0.00257504 0.0228541i
\(621\) −201.617 + 201.617i −0.324665 + 0.324665i
\(622\) −606.938 + 484.017i −0.975785 + 0.778163i
\(623\) 130.586 207.827i 0.209609 0.333591i
\(624\) 131.026 + 82.3293i 0.209978 + 0.131938i
\(625\) 170.165 + 213.380i 0.272264 + 0.341409i
\(626\) 407.087 + 407.087i 0.650299 + 0.650299i
\(627\) 201.617 + 22.7168i 0.321558 + 0.0362309i
\(628\) −76.3362 218.156i −0.121555 0.347383i
\(629\) −210.672 + 264.174i −0.334931 + 0.419991i
\(630\) 866.515 97.6328i 1.37542 0.154973i
\(631\) −404.134 839.193i −0.640466 1.32994i −0.928146 0.372215i \(-0.878598\pi\)
0.287680 0.957727i \(-0.407116\pi\)
\(632\) 22.9034 + 100.347i 0.0362396 + 0.158776i
\(633\) 26.1552 114.593i 0.0413194 0.181032i
\(634\) 96.7374 + 46.5863i 0.152583 + 0.0734799i
\(635\) −92.1696 + 263.406i −0.145149 + 0.414812i
\(636\) 58.1747 + 92.5845i 0.0914697 + 0.145573i
\(637\) 238.347i 0.374172i
\(638\) −379.260 292.419i −0.594451 0.458336i
\(639\) −745.130 −1.16609
\(640\) 375.379 235.866i 0.586530 0.368541i
\(641\) −109.871 38.4457i −0.171406 0.0599777i 0.243212 0.969973i \(-0.421799\pi\)
−0.414618 + 0.909996i \(0.636085\pi\)
\(642\) −127.465 + 264.684i −0.198543 + 0.412280i
\(643\) −887.185 202.494i −1.37976 0.314921i −0.532648 0.846337i \(-0.678803\pi\)
−0.847111 + 0.531416i \(0.821660\pi\)
\(644\) 119.234 27.2145i 0.185146 0.0422585i
\(645\) 716.420 345.010i 1.11073 0.534899i
\(646\) −49.1034 435.805i −0.0760115 0.674621i
\(647\) −184.679 147.277i −0.285439 0.227630i 0.470294 0.882510i \(-0.344148\pi\)
−0.755733 + 0.654880i \(0.772719\pi\)
\(648\) −312.023 + 109.182i −0.481517 + 0.168490i
\(649\) 25.4486 225.863i 0.0392121 0.348017i
\(650\) 616.257 616.257i 0.948088 0.948088i
\(651\) 13.3378 10.6366i 0.0204882 0.0163388i
\(652\) −172.595 + 274.683i −0.264716 + 0.421293i
\(653\) 182.035 + 114.380i 0.278767 + 0.175161i 0.664157 0.747593i \(-0.268790\pi\)
−0.385391 + 0.922753i \(0.625933\pi\)
\(654\) 289.625 + 363.179i 0.442852 + 0.555319i
\(655\) 40.5292 + 40.5292i 0.0618766 + 0.0618766i
\(656\) −2.85003 0.321121i −0.00434456 0.000489514i
\(657\) 66.3872 + 189.724i 0.101046 + 0.288773i
\(658\) 381.575 478.480i 0.579902 0.727174i
\(659\) 729.824 82.2314i 1.10747 0.124782i 0.460766 0.887522i \(-0.347575\pi\)
0.646706 + 0.762739i \(0.276146\pi\)
\(660\) 49.8145 + 103.441i 0.0754765 + 0.156729i
\(661\) 74.4513 + 326.192i 0.112634 + 0.493483i 0.999505 + 0.0314652i \(0.0100173\pi\)
−0.886871 + 0.462018i \(0.847126\pi\)
\(662\) 153.642 673.150i 0.232088 1.01684i
\(663\) 212.881 + 102.518i 0.321087 + 0.154628i
\(664\) −0.370882 + 1.05992i −0.000558557 + 0.00159626i
\(665\) 599.190 + 953.606i 0.901038 + 1.43399i
\(666\) 263.651i 0.395873i
\(667\) 247.733 + 300.420i 0.371414 + 0.450405i
\(668\) 29.8595 0.0446998
\(669\) 192.222 120.781i 0.287327 0.180540i
\(670\) 840.618 + 294.145i 1.25465 + 0.439022i
\(671\) −253.052 + 525.468i −0.377127 + 0.783112i
\(672\) −179.363 40.9385i −0.266909 0.0609203i
\(673\) −487.763 + 111.329i −0.724760 + 0.165422i −0.568958 0.822367i \(-0.692653\pi\)
−0.155802 + 0.987788i \(0.549796\pi\)
\(674\) −409.306 + 197.111i −0.607279 + 0.292450i
\(675\) −106.915 948.901i −0.158393 1.40578i
\(676\) −34.0290 27.1372i −0.0503387 0.0401438i
\(677\) 846.992 296.375i 1.25110 0.437777i 0.378218 0.925716i \(-0.376537\pi\)
0.872878 + 0.487939i \(0.162251\pi\)
\(678\) −6.79715 + 60.3264i −0.0100253 + 0.0889770i
\(679\) 147.734 147.734i 0.217575 0.217575i
\(680\) 906.838 723.179i 1.33359 1.06350i
\(681\) −243.878 + 388.129i −0.358117 + 0.569940i
\(682\) 21.8922 + 13.7558i 0.0321000 + 0.0201698i
\(683\) 636.584 + 798.251i 0.932041 + 1.16874i 0.985415 + 0.170168i \(0.0544309\pi\)
−0.0533743 + 0.998575i \(0.516998\pi\)
\(684\) −90.4987 90.4987i −0.132308 0.132308i
\(685\) 553.668 + 62.3833i 0.808274 + 0.0910706i
\(686\) 132.078 + 377.458i 0.192534 + 0.550231i
\(687\) 178.132 223.370i 0.259289 0.325138i
\(688\) −758.575 + 85.4709i −1.10258 + 0.124231i
\(689\) −380.002 789.082i −0.551527 1.14526i
\(690\) 55.5415 + 243.343i 0.0804950 + 0.352672i
\(691\) −8.72945 + 38.2462i −0.0126331 + 0.0553491i −0.980852 0.194757i \(-0.937608\pi\)
0.968219 + 0.250106i \(0.0804654\pi\)
\(692\) 68.9978 + 33.2276i 0.0997078 + 0.0480167i
\(693\) 195.309 558.161i 0.281831 0.805427i
\(694\) −70.1242 111.602i −0.101044 0.160810i
\(695\) 1009.94i 1.45316i
\(696\) −78.2049 318.502i −0.112363 0.457618i
\(697\) −4.37925 −0.00628299
\(698\) 23.5037 14.7684i 0.0336729 0.0211581i
\(699\) 25.0576 + 8.76803i 0.0358478 + 0.0125437i
\(700\) −177.713 + 369.026i −0.253876 + 0.527180i
\(701\) 730.823 + 166.806i 1.04254 + 0.237954i 0.709314 0.704892i \(-0.249005\pi\)
0.333229 + 0.942846i \(0.391862\pi\)
\(702\) −401.238 + 91.5799i −0.571564 + 0.130456i
\(703\) 306.797 147.746i 0.436411 0.210165i
\(704\) −76.5563 679.456i −0.108745 0.965136i
\(705\) −365.221 291.254i −0.518043 0.413126i
\(706\) 106.905 37.4075i 0.151423 0.0529852i
\(707\) 146.826 1303.12i 0.207675 1.84317i
\(708\) 23.5493 23.5493i 0.0332617 0.0332617i
\(709\) 226.904 180.950i 0.320034 0.255218i −0.450275 0.892890i \(-0.648674\pi\)
0.770308 + 0.637672i \(0.220102\pi\)
\(710\) −774.683 + 1232.90i −1.09110 + 1.73648i
\(711\) −73.3082 46.0626i −0.103106 0.0647856i
\(712\) 158.834 + 199.172i 0.223082 + 0.279736i
\(713\) −14.8652 14.8652i −0.0208488 0.0208488i
\(714\) 295.042 + 33.2433i 0.413225 + 0.0465592i
\(715\) −303.724 867.994i −0.424789 1.21398i
\(716\) 109.103 136.811i 0.152379 0.191077i
\(717\) 355.494 40.0546i 0.495808 0.0558641i
\(718\) 12.5554 + 26.0716i 0.0174867 + 0.0363115i
\(719\) 176.737 + 774.336i 0.245810 + 1.07696i 0.935630 + 0.352982i \(0.114832\pi\)
−0.689820 + 0.723981i \(0.742311\pi\)
\(720\) −142.186 + 622.958i −0.197481 + 0.865220i
\(721\) −895.430 431.216i −1.24193 0.598081i
\(722\) 57.4600 164.211i 0.0795845 0.227440i
\(723\) 154.739 + 246.266i 0.214024 + 0.340617i
\(724\) 274.989i 0.379820i
\(725\) −1303.90 + 21.3559i −1.79848 + 0.0294564i
\(726\) 60.7256 0.0836441
\(727\) −1129.81 + 709.908i −1.55407 + 0.976489i −0.565672 + 0.824631i \(0.691383\pi\)
−0.988402 + 0.151859i \(0.951474\pi\)
\(728\) 778.760 + 272.500i 1.06973 + 0.374313i
\(729\) 12.6428 26.2530i 0.0173426 0.0360123i
\(730\) 382.939 + 87.4034i 0.524575 + 0.119731i
\(731\) −1136.37 + 259.370i −1.55455 + 0.354815i
\(732\) −76.9937 + 37.0782i −0.105183 + 0.0506533i
\(733\) 55.6770 + 494.147i 0.0759577 + 0.674143i 0.972777 + 0.231745i \(0.0744435\pi\)
−0.896819 + 0.442398i \(0.854128\pi\)
\(734\) −37.9116 30.2335i −0.0516507 0.0411901i
\(735\) −215.783 + 75.5056i −0.293582 + 0.102729i
\(736\) −25.3837 + 225.286i −0.0344887 + 0.306096i
\(737\) 427.062 427.062i 0.579460 0.579460i
\(738\) 2.67156 2.13050i 0.00362001 0.00288686i
\(739\) 224.344 357.042i 0.303578 0.483142i −0.659744 0.751491i \(-0.729335\pi\)
0.963322 + 0.268349i \(0.0864781\pi\)
\(740\) 163.155 + 102.517i 0.220479 + 0.138536i
\(741\) −148.464 186.168i −0.200356 0.251239i
\(742\) −778.205 778.205i −1.04879 1.04879i
\(743\) 69.6091 + 7.84306i 0.0936865 + 0.0105559i 0.158683 0.987330i \(-0.449275\pi\)
−0.0649967 + 0.997885i \(0.520704\pi\)
\(744\) 5.84799 + 16.7126i 0.00786020 + 0.0224632i
\(745\) 428.060 536.771i 0.574577 0.720497i
\(746\) −391.799 + 44.1452i −0.525200 + 0.0591758i
\(747\) −0.409835 0.851030i −0.000548641 0.00113926i
\(748\) −37.4493 164.076i −0.0500659 0.219353i
\(749\) −246.079 + 1078.14i −0.328543 + 1.43944i
\(750\) −334.431 161.053i −0.445908 0.214738i
\(751\) 254.301 726.750i 0.338616 0.967710i −0.641124 0.767438i \(-0.721531\pi\)
0.979740 0.200273i \(-0.0641828\pi\)
\(752\) 238.594 + 379.720i 0.317279 + 0.504947i
\(753\) 370.603i 0.492168i
\(754\) 72.0670 + 557.406i 0.0955796 + 0.739265i
\(755\) 218.812 0.289818
\(756\) 163.773 102.905i 0.216630 0.136118i
\(757\) −1308.76 457.955i −1.72888 0.604960i −0.731811 0.681507i \(-0.761325\pi\)
−0.997066 + 0.0765471i \(0.975610\pi\)
\(758\) −118.726 + 246.538i −0.156631 + 0.325248i
\(759\) 165.023 + 37.6655i 0.217422 + 0.0496251i
\(760\) −1139.60 + 260.107i −1.49948 + 0.342246i
\(761\)