Properties

Label 105.3.v.a.37.15
Level 105
Weight 3
Character 105.37
Analytic conductor 2.861
Analytic rank 0
Dimension 64
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 105.v (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.86104277578\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(16\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 37.15
Character \(\chi\) \(=\) 105.37
Dual form 105.3.v.a.88.15

$q$-expansion

\(f(q)\) \(=\) \(q+(3.41166 - 0.914152i) q^{2} +(1.67303 + 0.448288i) q^{3} +(7.33966 - 4.23756i) q^{4} +(-4.98672 + 0.364163i) q^{5} +6.11763 q^{6} +(-6.35750 - 2.92953i) q^{7} +(11.1766 - 11.1766i) q^{8} +(2.59808 + 1.50000i) q^{9} +O(q^{10})\) \(q+(3.41166 - 0.914152i) q^{2} +(1.67303 + 0.448288i) q^{3} +(7.33966 - 4.23756i) q^{4} +(-4.98672 + 0.364163i) q^{5} +6.11763 q^{6} +(-6.35750 - 2.92953i) q^{7} +(11.1766 - 11.1766i) q^{8} +(2.59808 + 1.50000i) q^{9} +(-16.6801 + 5.80102i) q^{10} +(8.72135 + 15.1058i) q^{11} +(14.1791 - 3.79929i) q^{12} +(-8.72144 + 8.72144i) q^{13} +(-24.3677 - 4.18286i) q^{14} +(-8.50620 - 1.62623i) q^{15} +(10.9636 - 18.9894i) q^{16} +(3.02215 - 11.2788i) q^{17} +(10.2350 + 2.74246i) q^{18} +(-3.12903 - 1.80655i) q^{19} +(-35.0577 + 23.8044i) q^{20} +(-9.32303 - 7.75120i) q^{21} +(43.5633 + 43.5633i) q^{22} +(-6.21349 - 23.1890i) q^{23} +(23.7092 - 13.6885i) q^{24} +(24.7348 - 3.63196i) q^{25} +(-21.7819 + 37.7273i) q^{26} +(3.67423 + 3.67423i) q^{27} +(-59.0760 + 5.43848i) q^{28} -46.5831i q^{29} +(-30.5069 + 2.22781i) q^{30} +(-1.10507 - 1.91403i) q^{31} +(3.68097 - 13.7376i) q^{32} +(7.81935 + 29.1822i) q^{33} -41.2423i q^{34} +(32.7699 + 12.2936i) q^{35} +25.4253 q^{36} +(-29.3791 + 7.87211i) q^{37} +(-12.3266 - 3.30292i) q^{38} +(-18.5010 + 10.6815i) q^{39} +(-51.6647 + 59.8049i) q^{40} +29.9435 q^{41} +(-38.8928 - 17.9218i) q^{42} +(-19.6771 + 19.6771i) q^{43} +(128.024 + 73.9145i) q^{44} +(-13.5021 - 6.53396i) q^{45} +(-42.3966 - 73.4331i) q^{46} +(79.1503 - 21.2083i) q^{47} +(26.8551 - 26.8551i) q^{48} +(31.8357 + 37.2490i) q^{49} +(81.0665 - 35.0024i) q^{50} +(10.1123 - 17.5151i) q^{51} +(-27.0549 + 100.970i) q^{52} +(1.63190 + 0.437265i) q^{53} +(15.8941 + 9.17644i) q^{54} +(-48.9919 - 72.1526i) q^{55} +(-103.798 + 38.3132i) q^{56} +(-4.42512 - 4.42512i) q^{57} +(-42.5841 - 158.926i) q^{58} +(-76.5567 + 44.2000i) q^{59} +(-69.3239 + 24.1095i) q^{60} +(-23.4309 + 40.5836i) q^{61} +(-5.51984 - 5.51984i) q^{62} +(-12.1230 - 17.1474i) q^{63} +37.4755i q^{64} +(40.3154 - 46.6674i) q^{65} +(53.3540 + 92.4118i) q^{66} +(3.01836 - 11.2647i) q^{67} +(-25.6131 - 95.5894i) q^{68} -41.5815i q^{69} +(123.038 + 11.9849i) q^{70} +67.1402 q^{71} +(45.8027 - 12.2728i) q^{72} +(-17.6525 - 4.72997i) q^{73} +(-93.0353 + 53.7140i) q^{74} +(43.0102 + 5.01191i) q^{75} -30.6214 q^{76} +(-11.1930 - 121.585i) q^{77} +(-53.3545 + 53.3545i) q^{78} +(19.4021 + 11.2018i) q^{79} +(-47.7569 + 98.6876i) q^{80} +(4.50000 + 7.79423i) q^{81} +(102.157 - 27.3729i) q^{82} +(52.4430 - 52.4430i) q^{83} +(-101.274 - 17.3843i) q^{84} +(-10.9633 + 57.3450i) q^{85} +(-49.1438 + 85.1196i) q^{86} +(20.8826 - 77.9351i) q^{87} +(266.308 + 71.3570i) q^{88} +(44.2757 + 25.5626i) q^{89} +(-52.0377 - 9.94866i) q^{90} +(80.9964 - 29.8968i) q^{91} +(-143.870 - 143.870i) q^{92} +(-0.990777 - 3.69763i) q^{93} +(250.647 - 144.711i) q^{94} +(16.2615 + 7.86926i) q^{95} +(12.3168 - 21.3333i) q^{96} +(9.15031 + 9.15031i) q^{97} +(142.664 + 97.9785i) q^{98} +52.3281i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 4q^{5} - 4q^{7} + 24q^{8} + O(q^{10}) \) \( 64q + 4q^{5} - 4q^{7} + 24q^{8} - 16q^{10} + 16q^{11} - 48q^{15} + 80q^{16} + 56q^{17} + 24q^{21} - 96q^{22} + 72q^{23} - 4q^{25} - 288q^{26} - 380q^{28} - 48q^{30} - 136q^{31} - 48q^{32} - 72q^{33} + 76q^{35} + 384q^{36} - 28q^{37} - 68q^{38} + 164q^{40} + 128q^{41} - 12q^{42} + 344q^{43} + 240q^{46} + 412q^{47} - 288q^{48} - 72q^{50} - 24q^{51} + 388q^{52} - 40q^{53} - 8q^{55} - 864q^{56} - 192q^{57} + 56q^{58} - 180q^{60} - 216q^{61} - 912q^{62} - 84q^{63} + 20q^{65} - 72q^{66} - 368q^{67} - 492q^{68} + 416q^{70} + 784q^{71} + 36q^{72} - 316q^{73} + 96q^{75} - 32q^{76} + 844q^{77} + 624q^{78} + 908q^{80} + 288q^{81} + 556q^{82} + 1408q^{83} - 536q^{85} + 1024q^{86} + 108q^{87} + 372q^{88} + 216q^{90} - 1064q^{91} - 1704q^{92} + 144q^{93} + 260q^{95} + 352q^{97} + 272q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.41166 0.914152i 1.70583 0.457076i 0.731435 0.681912i \(-0.238851\pi\)
0.974397 + 0.224836i \(0.0721845\pi\)
\(3\) 1.67303 + 0.448288i 0.557678 + 0.149429i
\(4\) 7.33966 4.23756i 1.83492 1.05939i
\(5\) −4.98672 + 0.364163i −0.997344 + 0.0728326i
\(6\) 6.11763 1.01960
\(7\) −6.35750 2.92953i −0.908215 0.418505i
\(8\) 11.1766 11.1766i 1.39708 1.39708i
\(9\) 2.59808 + 1.50000i 0.288675 + 0.166667i
\(10\) −16.6801 + 5.80102i −1.66801 + 0.580102i
\(11\) 8.72135 + 15.1058i 0.792850 + 1.37326i 0.924195 + 0.381920i \(0.124737\pi\)
−0.131345 + 0.991337i \(0.541930\pi\)
\(12\) 14.1791 3.79929i 1.18160 0.316608i
\(13\) −8.72144 + 8.72144i −0.670880 + 0.670880i −0.957919 0.287039i \(-0.907329\pi\)
0.287039 + 0.957919i \(0.407329\pi\)
\(14\) −24.3677 4.18286i −1.74055 0.298776i
\(15\) −8.50620 1.62623i −0.567080 0.108415i
\(16\) 10.9636 18.9894i 0.685222 1.18684i
\(17\) 3.02215 11.2788i 0.177774 0.663461i −0.818289 0.574807i \(-0.805077\pi\)
0.996063 0.0886535i \(-0.0282564\pi\)
\(18\) 10.2350 + 2.74246i 0.568610 + 0.152359i
\(19\) −3.12903 1.80655i −0.164686 0.0950814i 0.415392 0.909643i \(-0.363644\pi\)
−0.580078 + 0.814561i \(0.696978\pi\)
\(20\) −35.0577 + 23.8044i −1.75288 + 1.19022i
\(21\) −9.32303 7.75120i −0.443954 0.369105i
\(22\) 43.5633 + 43.5633i 1.98015 + 1.98015i
\(23\) −6.21349 23.1890i −0.270152 1.00822i −0.959021 0.283334i \(-0.908559\pi\)
0.688870 0.724885i \(-0.258107\pi\)
\(24\) 23.7092 13.6885i 0.987885 0.570356i
\(25\) 24.7348 3.63196i 0.989391 0.145278i
\(26\) −21.7819 + 37.7273i −0.837765 + 1.45105i
\(27\) 3.67423 + 3.67423i 0.136083 + 0.136083i
\(28\) −59.0760 + 5.43848i −2.10986 + 0.194231i
\(29\) 46.5831i 1.60631i −0.595767 0.803157i \(-0.703152\pi\)
0.595767 0.803157i \(-0.296848\pi\)
\(30\) −30.5069 + 2.22781i −1.01690 + 0.0742605i
\(31\) −1.10507 1.91403i −0.0356474 0.0617430i 0.847651 0.530554i \(-0.178016\pi\)
−0.883299 + 0.468811i \(0.844683\pi\)
\(32\) 3.68097 13.7376i 0.115030 0.429300i
\(33\) 7.81935 + 29.1822i 0.236950 + 0.884310i
\(34\) 41.2423i 1.21301i
\(35\) 32.7699 + 12.2936i 0.936283 + 0.351246i
\(36\) 25.4253 0.706260
\(37\) −29.3791 + 7.87211i −0.794030 + 0.212760i −0.632961 0.774183i \(-0.718161\pi\)
−0.161069 + 0.986943i \(0.551494\pi\)
\(38\) −12.3266 3.30292i −0.324386 0.0869188i
\(39\) −18.5010 + 10.6815i −0.474384 + 0.273886i
\(40\) −51.6647 + 59.8049i −1.29162 + 1.49512i
\(41\) 29.9435 0.730329 0.365165 0.930943i \(-0.381013\pi\)
0.365165 + 0.930943i \(0.381013\pi\)
\(42\) −38.8928 17.9218i −0.926019 0.426709i
\(43\) −19.6771 + 19.6771i −0.457608 + 0.457608i −0.897869 0.440262i \(-0.854886\pi\)
0.440262 + 0.897869i \(0.354886\pi\)
\(44\) 128.024 + 73.9145i 2.90963 + 1.67987i
\(45\) −13.5021 6.53396i −0.300047 0.145199i
\(46\) −42.3966 73.4331i −0.921666 1.59637i
\(47\) 79.1503 21.2083i 1.68405 0.451240i 0.715206 0.698913i \(-0.246333\pi\)
0.968844 + 0.247674i \(0.0796661\pi\)
\(48\) 26.8551 26.8551i 0.559482 0.559482i
\(49\) 31.8357 + 37.2490i 0.649707 + 0.760185i
\(50\) 81.0665 35.0024i 1.62133 0.700047i
\(51\) 10.1123 17.5151i 0.198281 0.343433i
\(52\) −27.0549 + 100.970i −0.520286 + 1.94173i
\(53\) 1.63190 + 0.437265i 0.0307905 + 0.00825028i 0.274181 0.961678i \(-0.411593\pi\)
−0.243391 + 0.969928i \(0.578260\pi\)
\(54\) 15.8941 + 9.17644i 0.294334 + 0.169934i
\(55\) −48.9919 72.1526i −0.890763 1.31186i
\(56\) −103.798 + 38.3132i −1.85353 + 0.684164i
\(57\) −4.42512 4.42512i −0.0776336 0.0776336i
\(58\) −42.5841 158.926i −0.734208 2.74010i
\(59\) −76.5567 + 44.2000i −1.29757 + 0.749153i −0.979984 0.199076i \(-0.936206\pi\)
−0.317587 + 0.948229i \(0.602873\pi\)
\(60\) −69.3239 + 24.1095i −1.15540 + 0.401825i
\(61\) −23.4309 + 40.5836i −0.384114 + 0.665305i −0.991646 0.128990i \(-0.958826\pi\)
0.607532 + 0.794295i \(0.292160\pi\)
\(62\) −5.51984 5.51984i −0.0890296 0.0890296i
\(63\) −12.1230 17.1474i −0.192428 0.272181i
\(64\) 37.4755i 0.585554i
\(65\) 40.3154 46.6674i 0.620236 0.717960i
\(66\) 53.3540 + 92.4118i 0.808394 + 1.40018i
\(67\) 3.01836 11.2647i 0.0450501 0.168129i −0.939736 0.341902i \(-0.888929\pi\)
0.984786 + 0.173772i \(0.0555957\pi\)
\(68\) −25.6131 95.5894i −0.376663 1.40573i
\(69\) 41.5815i 0.602630i
\(70\) 123.038 + 11.9849i 1.75769 + 0.171213i
\(71\) 67.1402 0.945636 0.472818 0.881160i \(-0.343237\pi\)
0.472818 + 0.881160i \(0.343237\pi\)
\(72\) 45.8027 12.2728i 0.636149 0.170456i
\(73\) −17.6525 4.72997i −0.241815 0.0647941i 0.135876 0.990726i \(-0.456615\pi\)
−0.377691 + 0.925932i \(0.623282\pi\)
\(74\) −93.0353 + 53.7140i −1.25723 + 0.725865i
\(75\) 43.0102 + 5.01191i 0.573470 + 0.0668254i
\(76\) −30.6214 −0.402913
\(77\) −11.1930 121.585i −0.145363 1.57902i
\(78\) −53.3545 + 53.3545i −0.684032 + 0.684032i
\(79\) 19.4021 + 11.2018i 0.245596 + 0.141795i 0.617746 0.786378i \(-0.288046\pi\)
−0.372150 + 0.928173i \(0.621379\pi\)
\(80\) −47.7569 + 98.6876i −0.596962 + 1.23359i
\(81\) 4.50000 + 7.79423i 0.0555556 + 0.0962250i
\(82\) 102.157 27.3729i 1.24582 0.333816i
\(83\) 52.4430 52.4430i 0.631844 0.631844i −0.316686 0.948530i \(-0.602570\pi\)
0.948530 + 0.316686i \(0.102570\pi\)
\(84\) −101.274 17.3843i −1.20564 0.206956i
\(85\) −10.9633 + 57.3450i −0.128980 + 0.674647i
\(86\) −49.1438 + 85.1196i −0.571440 + 0.989763i
\(87\) 20.8826 77.9351i 0.240030 0.895805i
\(88\) 266.308 + 71.3570i 3.02623 + 0.810875i
\(89\) 44.2757 + 25.5626i 0.497480 + 0.287220i 0.727672 0.685925i \(-0.240602\pi\)
−0.230192 + 0.973145i \(0.573935\pi\)
\(90\) −52.0377 9.94866i −0.578197 0.110541i
\(91\) 80.9964 29.8968i 0.890070 0.328536i
\(92\) −143.870 143.870i −1.56380 1.56380i
\(93\) −0.990777 3.69763i −0.0106535 0.0397595i
\(94\) 250.647 144.711i 2.66645 1.53948i
\(95\) 16.2615 + 7.86926i 0.171173 + 0.0828343i
\(96\) 12.3168 21.3333i 0.128300 0.222222i
\(97\) 9.15031 + 9.15031i 0.0943331 + 0.0943331i 0.752698 0.658365i \(-0.228752\pi\)
−0.658365 + 0.752698i \(0.728752\pi\)
\(98\) 142.664 + 97.9785i 1.45575 + 0.999781i
\(99\) 52.3281i 0.528567i
\(100\) 166.154 131.472i 1.66154 1.31472i
\(101\) 42.1642 + 73.0305i 0.417467 + 0.723074i 0.995684 0.0928089i \(-0.0295846\pi\)
−0.578217 + 0.815883i \(0.696251\pi\)
\(102\) 18.4884 68.9997i 0.181259 0.676468i
\(103\) −30.3411 113.235i −0.294574 1.09937i −0.941555 0.336859i \(-0.890635\pi\)
0.646981 0.762506i \(-0.276031\pi\)
\(104\) 194.953i 1.87455i
\(105\) 49.3141 + 35.2579i 0.469658 + 0.335790i
\(106\) 5.96720 0.0562944
\(107\) −138.045 + 36.9890i −1.29014 + 0.345691i −0.837713 0.546111i \(-0.816108\pi\)
−0.452425 + 0.891802i \(0.649441\pi\)
\(108\) 42.5374 + 11.3979i 0.393865 + 0.105536i
\(109\) −140.724 + 81.2472i −1.29105 + 0.745387i −0.978840 0.204627i \(-0.934402\pi\)
−0.312208 + 0.950014i \(0.601069\pi\)
\(110\) −233.102 201.374i −2.11911 1.83067i
\(111\) −52.6812 −0.474605
\(112\) −125.331 + 88.6073i −1.11903 + 0.791136i
\(113\) −3.09464 + 3.09464i −0.0273862 + 0.0273862i −0.720667 0.693281i \(-0.756164\pi\)
0.693281 + 0.720667i \(0.256164\pi\)
\(114\) −19.1422 11.0518i −0.167914 0.0969454i
\(115\) 39.4295 + 113.375i 0.342865 + 0.985866i
\(116\) −197.399 341.904i −1.70171 2.94745i
\(117\) −35.7411 + 9.57681i −0.305480 + 0.0818531i
\(118\) −220.780 + 220.780i −1.87102 + 1.87102i
\(119\) −52.2551 + 62.8517i −0.439118 + 0.528166i
\(120\) −113.247 + 76.8950i −0.943721 + 0.640791i
\(121\) −91.6240 + 158.697i −0.757223 + 1.31155i
\(122\) −42.8389 + 159.877i −0.351139 + 1.31047i
\(123\) 50.0965 + 13.4233i 0.407288 + 0.109133i
\(124\) −16.2217 9.36558i −0.130820 0.0755289i
\(125\) −122.023 + 27.1191i −0.976182 + 0.216953i
\(126\) −57.0348 47.4189i −0.452657 0.376341i
\(127\) −117.674 117.674i −0.926571 0.926571i 0.0709120 0.997483i \(-0.477409\pi\)
−0.997483 + 0.0709120i \(0.977409\pi\)
\(128\) 48.9822 + 182.804i 0.382673 + 1.42816i
\(129\) −41.7415 + 24.0995i −0.323578 + 0.186818i
\(130\) 94.8813 196.068i 0.729856 1.50821i
\(131\) 81.6255 141.379i 0.623095 1.07923i −0.365811 0.930689i \(-0.619208\pi\)
0.988906 0.148543i \(-0.0474584\pi\)
\(132\) 181.053 + 181.053i 1.37161 + 1.37161i
\(133\) 14.6005 + 20.6517i 0.109778 + 0.155276i
\(134\) 41.1905i 0.307392i
\(135\) −19.6604 16.9844i −0.145633 0.125810i
\(136\) −92.2820 159.837i −0.678544 1.17527i
\(137\) −38.2623 + 142.797i −0.279287 + 1.04231i 0.673627 + 0.739072i \(0.264735\pi\)
−0.952914 + 0.303241i \(0.901931\pi\)
\(138\) −38.0118 141.862i −0.275448 1.02798i
\(139\) 101.553i 0.730596i −0.930891 0.365298i \(-0.880967\pi\)
0.930891 0.365298i \(-0.119033\pi\)
\(140\) 292.615 48.6335i 2.09011 0.347382i
\(141\) 141.929 1.00659
\(142\) 229.060 61.3763i 1.61310 0.432228i
\(143\) −207.807 55.6818i −1.45320 0.389383i
\(144\) 56.9683 32.8907i 0.395613 0.228407i
\(145\) 16.9639 + 232.297i 0.116992 + 1.60205i
\(146\) −64.5483 −0.442112
\(147\) 36.5638 + 76.5904i 0.248733 + 0.521023i
\(148\) −182.274 + 182.274i −1.23158 + 1.23158i
\(149\) 91.7653 + 52.9807i 0.615874 + 0.355575i 0.775261 0.631641i \(-0.217618\pi\)
−0.159387 + 0.987216i \(0.550952\pi\)
\(150\) 151.318 22.2190i 1.00879 0.148126i
\(151\) 80.5845 + 139.576i 0.533672 + 0.924347i 0.999226 + 0.0393279i \(0.0125217\pi\)
−0.465554 + 0.885019i \(0.654145\pi\)
\(152\) −55.1632 + 14.7809i −0.362916 + 0.0972429i
\(153\) 24.7700 24.7700i 0.161896 0.161896i
\(154\) −149.334 404.574i −0.969699 2.62711i
\(155\) 6.20769 + 9.14233i 0.0400496 + 0.0589828i
\(156\) −90.5273 + 156.798i −0.580303 + 1.00511i
\(157\) −35.5563 + 132.698i −0.226473 + 0.845210i 0.755336 + 0.655338i \(0.227474\pi\)
−0.981809 + 0.189872i \(0.939193\pi\)
\(158\) 76.4335 + 20.4803i 0.483756 + 0.129622i
\(159\) 2.53419 + 1.46312i 0.0159383 + 0.00920200i
\(160\) −13.3533 + 69.8460i −0.0834579 + 0.436537i
\(161\) −28.4309 + 165.627i −0.176589 + 1.02874i
\(162\) 22.4776 + 22.4776i 0.138751 + 0.138751i
\(163\) −48.8824 182.431i −0.299892 1.11921i −0.937254 0.348647i \(-0.886641\pi\)
0.637362 0.770564i \(-0.280025\pi\)
\(164\) 219.775 126.887i 1.34009 0.773703i
\(165\) −49.6200 142.676i −0.300727 0.864703i
\(166\) 130.977 226.859i 0.789018 1.36662i
\(167\) −114.153 114.153i −0.683552 0.683552i 0.277247 0.960799i \(-0.410578\pi\)
−0.960799 + 0.277247i \(0.910578\pi\)
\(168\) −190.833 + 17.5679i −1.13591 + 0.104571i
\(169\) 16.8729i 0.0998396i
\(170\) 15.0189 + 205.664i 0.0883466 + 1.20979i
\(171\) −5.41964 9.38709i −0.0316938 0.0548952i
\(172\) −61.0406 + 227.807i −0.354887 + 1.32446i
\(173\) 53.9511 + 201.348i 0.311856 + 1.16386i 0.926881 + 0.375355i \(0.122479\pi\)
−0.615025 + 0.788508i \(0.710854\pi\)
\(174\) 284.978i 1.63780i
\(175\) −167.891 49.3712i −0.959379 0.282121i
\(176\) 382.468 2.17312
\(177\) −147.896 + 39.6287i −0.835572 + 0.223891i
\(178\) 174.422 + 46.7362i 0.979899 + 0.262563i
\(179\) −102.967 + 59.4481i −0.575235 + 0.332112i −0.759238 0.650814i \(-0.774428\pi\)
0.184002 + 0.982926i \(0.441095\pi\)
\(180\) −126.789 + 9.25897i −0.704384 + 0.0514387i
\(181\) −2.13381 −0.0117890 −0.00589449 0.999983i \(-0.501876\pi\)
−0.00589449 + 0.999983i \(0.501876\pi\)
\(182\) 249.002 176.041i 1.36814 0.967257i
\(183\) −57.3939 + 57.3939i −0.313628 + 0.313628i
\(184\) −328.622 189.730i −1.78599 1.03114i
\(185\) 143.639 49.9548i 0.776426 0.270026i
\(186\) −6.76039 11.7093i −0.0363462 0.0629535i
\(187\) 196.733 52.7146i 1.05205 0.281896i
\(188\) 491.066 491.066i 2.61205 2.61205i
\(189\) −12.5952 34.1227i −0.0666410 0.180544i
\(190\) 62.6724 + 11.9818i 0.329855 + 0.0630621i
\(191\) 85.4671 148.033i 0.447472 0.775044i −0.550749 0.834671i \(-0.685658\pi\)
0.998221 + 0.0596272i \(0.0189912\pi\)
\(192\) −16.7998 + 62.6977i −0.0874990 + 0.326551i
\(193\) 80.0626 + 21.4527i 0.414832 + 0.111154i 0.460197 0.887817i \(-0.347779\pi\)
−0.0453656 + 0.998970i \(0.514445\pi\)
\(194\) 39.5825 + 22.8530i 0.204034 + 0.117799i
\(195\) 88.3694 60.0032i 0.453176 0.307709i
\(196\) 391.508 + 138.490i 1.99749 + 0.706582i
\(197\) 32.0391 + 32.0391i 0.162635 + 0.162635i 0.783733 0.621098i \(-0.213313\pi\)
−0.621098 + 0.783733i \(0.713313\pi\)
\(198\) 47.8359 + 178.526i 0.241595 + 0.901646i
\(199\) 22.0307 12.7194i 0.110707 0.0639167i −0.443624 0.896213i \(-0.646307\pi\)
0.554331 + 0.832296i \(0.312974\pi\)
\(200\) 235.859 317.045i 1.17929 1.58522i
\(201\) 10.0996 17.4931i 0.0502469 0.0870302i
\(202\) 210.611 + 210.611i 1.04263 + 1.04263i
\(203\) −136.467 + 296.152i −0.672250 + 1.45888i
\(204\) 171.406i 0.840227i
\(205\) −149.320 + 10.9043i −0.728390 + 0.0531918i
\(206\) −207.027 358.582i −1.00499 1.74069i
\(207\) 18.6405 69.5671i 0.0900505 0.336073i
\(208\) 69.9973 + 261.233i 0.336525 + 1.25593i
\(209\) 63.0221i 0.301541i
\(210\) 200.474 + 75.2077i 0.954638 + 0.358132i
\(211\) 139.996 0.663487 0.331744 0.943370i \(-0.392363\pi\)
0.331744 + 0.943370i \(0.392363\pi\)
\(212\) 13.8305 3.70587i 0.0652382 0.0174805i
\(213\) 112.328 + 30.0981i 0.527360 + 0.141306i
\(214\) −437.148 + 252.388i −2.04275 + 1.17938i
\(215\) 90.9587 105.290i 0.423064 0.489721i
\(216\) 82.1312 0.380237
\(217\) 1.41824 + 15.4058i 0.00653568 + 0.0709945i
\(218\) −405.831 + 405.831i −1.86161 + 1.86161i
\(219\) −27.4128 15.8268i −0.125173 0.0722685i
\(220\) −665.335 321.969i −3.02425 1.46350i
\(221\) 72.0102 + 124.725i 0.325838 + 0.564368i
\(222\) −179.730 + 48.1586i −0.809597 + 0.216931i
\(223\) 132.643 132.643i 0.594809 0.594809i −0.344117 0.938927i \(-0.611822\pi\)
0.938927 + 0.344117i \(0.111822\pi\)
\(224\) −63.6465 + 76.5532i −0.284136 + 0.341755i
\(225\) 69.7108 + 27.6660i 0.309826 + 0.122960i
\(226\) −7.72888 + 13.3868i −0.0341986 + 0.0592337i
\(227\) 63.5422 237.143i 0.279922 1.04468i −0.672549 0.740052i \(-0.734801\pi\)
0.952471 0.304629i \(-0.0985326\pi\)
\(228\) −51.2305 13.7272i −0.224695 0.0602069i
\(229\) 217.561 + 125.609i 0.950047 + 0.548510i 0.893096 0.449867i \(-0.148529\pi\)
0.0569516 + 0.998377i \(0.481862\pi\)
\(230\) 238.162 + 350.751i 1.03549 + 1.52501i
\(231\) 35.7788 208.433i 0.154886 0.902308i
\(232\) −520.643 520.643i −2.24415 2.24415i
\(233\) −76.4808 285.430i −0.328244 1.22502i −0.911010 0.412383i \(-0.864696\pi\)
0.582767 0.812640i \(-0.301970\pi\)
\(234\) −113.182 + 65.3457i −0.483684 + 0.279255i
\(235\) −386.977 + 134.583i −1.64671 + 0.572695i
\(236\) −374.600 + 648.827i −1.58729 + 2.74927i
\(237\) 27.4387 + 27.4387i 0.115775 + 0.115775i
\(238\) −120.821 + 262.198i −0.507650 + 1.10167i
\(239\) 100.831i 0.421885i −0.977498 0.210943i \(-0.932347\pi\)
0.977498 0.210943i \(-0.0676533\pi\)
\(240\) −124.139 + 143.699i −0.517247 + 0.598744i
\(241\) −179.672 311.201i −0.745527 1.29129i −0.949948 0.312408i \(-0.898865\pi\)
0.204421 0.978883i \(-0.434469\pi\)
\(242\) −167.517 + 625.181i −0.692217 + 2.58339i
\(243\) 4.03459 + 15.0573i 0.0166032 + 0.0619642i
\(244\) 397.160i 1.62770i
\(245\) −172.320 174.157i −0.703348 0.710846i
\(246\) 183.183 0.744647
\(247\) 43.0453 11.5340i 0.174273 0.0466962i
\(248\) −33.7434 9.04153i −0.136062 0.0364578i
\(249\) 111.248 64.2293i 0.446781 0.257949i
\(250\) −391.510 + 204.068i −1.56604 + 0.816274i
\(251\) 17.4715 0.0696075 0.0348038 0.999394i \(-0.488919\pi\)
0.0348038 + 0.999394i \(0.488919\pi\)
\(252\) −161.642 74.4844i −0.641435 0.295573i
\(253\) 296.100 296.100i 1.17035 1.17035i
\(254\) −509.038 293.893i −2.00409 1.15706i
\(255\) −44.0490 + 91.0253i −0.172741 + 0.356962i
\(256\) 259.270 + 449.070i 1.01278 + 1.75418i
\(257\) 77.1706 20.6778i 0.300275 0.0804583i −0.105536 0.994415i \(-0.533656\pi\)
0.405811 + 0.913957i \(0.366989\pi\)
\(258\) −120.377 + 120.377i −0.466579 + 0.466579i
\(259\) 209.839 + 36.0202i 0.810191 + 0.139074i
\(260\) 98.1454 513.362i 0.377482 1.97447i
\(261\) 69.8747 121.026i 0.267719 0.463703i
\(262\) 149.236 556.957i 0.569604 2.12579i
\(263\) 167.452 + 44.8686i 0.636699 + 0.170603i 0.562708 0.826656i \(-0.309760\pi\)
0.0739911 + 0.997259i \(0.476426\pi\)
\(264\) 413.553 + 238.765i 1.56649 + 0.904414i
\(265\) −8.29704 1.58624i −0.0313096 0.00598582i
\(266\) 68.6907 + 57.1096i 0.258236 + 0.214698i
\(267\) 62.6154 + 62.6154i 0.234514 + 0.234514i
\(268\) −25.5809 95.4694i −0.0954513 0.356229i
\(269\) −160.485 + 92.6559i −0.596597 + 0.344446i −0.767702 0.640807i \(-0.778600\pi\)
0.171104 + 0.985253i \(0.445266\pi\)
\(270\) −82.6010 39.9723i −0.305929 0.148046i
\(271\) −182.223 + 315.620i −0.672410 + 1.16465i 0.304808 + 0.952414i \(0.401408\pi\)
−0.977219 + 0.212235i \(0.931926\pi\)
\(272\) −181.045 181.045i −0.665607 0.665607i
\(273\) 148.912 13.7087i 0.545465 0.0502149i
\(274\) 522.152i 1.90567i
\(275\) 270.584 + 341.964i 0.983943 + 1.24350i
\(276\) −176.204 305.194i −0.638420 1.10578i
\(277\) 125.143 467.038i 0.451778 1.68606i −0.245613 0.969368i \(-0.578989\pi\)
0.697391 0.716691i \(-0.254344\pi\)
\(278\) −92.8347 346.464i −0.333938 1.24627i
\(279\) 6.63041i 0.0237649i
\(280\) 503.659 228.856i 1.79878 0.817345i
\(281\) −472.914 −1.68297 −0.841484 0.540282i \(-0.818318\pi\)
−0.841484 + 0.540282i \(0.818318\pi\)
\(282\) 484.212 129.744i 1.71706 0.460086i
\(283\) −239.837 64.2640i −0.847479 0.227081i −0.191154 0.981560i \(-0.561223\pi\)
−0.656324 + 0.754479i \(0.727890\pi\)
\(284\) 492.786 284.510i 1.73516 1.00180i
\(285\) 23.6783 + 20.4554i 0.0830817 + 0.0717732i
\(286\) −759.870 −2.65689
\(287\) −190.366 87.7205i −0.663296 0.305646i
\(288\) 30.1698 30.1698i 0.104756 0.104756i
\(289\) 132.203 + 76.3272i 0.457449 + 0.264108i
\(290\) 270.230 + 777.011i 0.931827 + 2.67935i
\(291\) 11.2068 + 19.4107i 0.0385113 + 0.0667036i
\(292\) −149.607 + 40.0871i −0.512353 + 0.137284i
\(293\) 61.1515 61.1515i 0.208708 0.208708i −0.595010 0.803718i \(-0.702852\pi\)
0.803718 + 0.595010i \(0.202852\pi\)
\(294\) 194.759 + 227.876i 0.662444 + 0.775087i
\(295\) 365.671 248.292i 1.23956 0.841669i
\(296\) −240.376 + 416.344i −0.812082 + 1.40657i
\(297\) −23.4581 + 87.5467i −0.0789834 + 0.294770i
\(298\) 361.505 + 96.8649i 1.21310 + 0.325050i
\(299\) 256.433 + 148.051i 0.857634 + 0.495155i
\(300\) 336.919 145.473i 1.12306 0.484909i
\(301\) 182.742 67.4526i 0.607117 0.224095i
\(302\) 402.521 + 402.521i 1.33285 + 1.33285i
\(303\) 37.8034 + 141.084i 0.124764 + 0.465624i
\(304\) −68.6106 + 39.6123i −0.225693 + 0.130304i
\(305\) 102.065 210.912i 0.334638 0.691514i
\(306\) 61.8634 107.151i 0.202168 0.350165i
\(307\) −36.7448 36.7448i −0.119690 0.119690i 0.644725 0.764415i \(-0.276972\pi\)
−0.764415 + 0.644725i \(0.776972\pi\)
\(308\) −597.375 844.961i −1.93953 2.74338i
\(309\) 203.047i 0.657110i
\(310\) 29.5360 + 25.5158i 0.0952775 + 0.0823089i
\(311\) −44.4761 77.0348i −0.143010 0.247700i 0.785619 0.618711i \(-0.212345\pi\)
−0.928629 + 0.371010i \(0.879011\pi\)
\(312\) −87.3950 + 326.163i −0.280112 + 1.04539i
\(313\) 47.5609 + 177.500i 0.151952 + 0.567092i 0.999347 + 0.0361293i \(0.0115028\pi\)
−0.847395 + 0.530962i \(0.821831\pi\)
\(314\) 485.224i 1.54530i
\(315\) 66.6983 + 81.0946i 0.211741 + 0.257443i
\(316\) 189.873 0.600864
\(317\) −356.038 + 95.4002i −1.12315 + 0.300947i −0.772157 0.635431i \(-0.780822\pi\)
−0.350992 + 0.936378i \(0.614156\pi\)
\(318\) 9.98333 + 2.67502i 0.0313941 + 0.00841203i
\(319\) 703.676 406.268i 2.20588 1.27357i
\(320\) −13.6472 186.880i −0.0426475 0.583999i
\(321\) −247.535 −0.771137
\(322\) 54.4118 + 591.054i 0.168981 + 1.83557i
\(323\) −29.8321 + 29.8321i −0.0923596 + 0.0923596i
\(324\) 66.0570 + 38.1380i 0.203880 + 0.117710i
\(325\) −184.047 + 247.399i −0.566298 + 0.761227i
\(326\) −333.540 577.709i −1.02313 1.77211i
\(327\) −271.858 + 72.8442i −0.831371 + 0.222765i
\(328\) 334.668 334.668i 1.02033 1.02033i
\(329\) −565.329 97.0420i −1.71832 0.294961i
\(330\) −299.714 441.402i −0.908225 1.33758i
\(331\) 224.992 389.697i 0.679734 1.17733i −0.295327 0.955396i \(-0.595429\pi\)
0.975061 0.221937i \(-0.0712381\pi\)
\(332\) 162.684 607.145i 0.490012 1.82875i
\(333\) −88.1374 23.6163i −0.264677 0.0709199i
\(334\) −493.805 285.099i −1.47846 0.853589i
\(335\) −10.9495 + 57.2729i −0.0326852 + 0.170964i
\(336\) −249.404 + 92.0585i −0.742275 + 0.273984i
\(337\) −9.37231 9.37231i −0.0278110 0.0278110i 0.693065 0.720876i \(-0.256260\pi\)
−0.720876 + 0.693065i \(0.756260\pi\)
\(338\) 15.4244 + 57.5646i 0.0456343 + 0.170309i
\(339\) −6.56471 + 3.79014i −0.0193649 + 0.0111804i
\(340\) 162.536 + 467.350i 0.478046 + 1.37456i
\(341\) 19.2754 33.3859i 0.0565260 0.0979060i
\(342\) −27.0712 27.0712i −0.0791556 0.0791556i
\(343\) −93.2729 330.074i −0.271933 0.962316i
\(344\) 439.849i 1.27863i
\(345\) 15.1424 + 207.355i 0.0438911 + 0.601029i
\(346\) 368.126 + 637.613i 1.06395 + 1.84281i
\(347\) −101.459 + 378.650i −0.292389 + 1.09121i 0.650880 + 0.759180i \(0.274400\pi\)
−0.943269 + 0.332029i \(0.892267\pi\)
\(348\) −176.983 660.509i −0.508571 1.89801i
\(349\) 480.726i 1.37744i 0.725028 + 0.688720i \(0.241827\pi\)
−0.725028 + 0.688720i \(0.758173\pi\)
\(350\) −617.921 14.9596i −1.76549 0.0427416i
\(351\) −64.0893 −0.182590
\(352\) 239.621 64.2062i 0.680741 0.182404i
\(353\) 535.395 + 143.459i 1.51670 + 0.406398i 0.918654 0.395064i \(-0.129278\pi\)
0.598045 + 0.801462i \(0.295944\pi\)
\(354\) −468.345 + 270.399i −1.32301 + 0.763840i
\(355\) −334.809 + 24.4500i −0.943125 + 0.0688732i
\(356\) 433.292 1.21711
\(357\) −115.600 + 81.7276i −0.323810 + 0.228929i
\(358\) −296.944 + 296.944i −0.829454 + 0.829454i
\(359\) −87.7247 50.6479i −0.244359 0.141080i 0.372820 0.927904i \(-0.378391\pi\)
−0.617178 + 0.786823i \(0.711724\pi\)
\(360\) −223.936 + 77.8807i −0.622045 + 0.216335i
\(361\) −173.973 301.330i −0.481919 0.834708i
\(362\) −7.27983 + 1.95062i −0.0201100 + 0.00538846i
\(363\) −224.432 + 224.432i −0.618270 + 0.618270i
\(364\) 467.797 562.659i 1.28516 1.54577i
\(365\) 89.7506 + 17.1587i 0.245892 + 0.0470100i
\(366\) −143.342 + 248.275i −0.391644 + 0.678348i
\(367\) −78.8661 + 294.332i −0.214894 + 0.801996i 0.771310 + 0.636460i \(0.219602\pi\)
−0.986204 + 0.165536i \(0.947065\pi\)
\(368\) −508.469 136.244i −1.38171 0.370228i
\(369\) 77.7955 + 44.9153i 0.210828 + 0.121722i
\(370\) 444.381 301.737i 1.20103 0.815505i
\(371\) −9.09379 7.56061i −0.0245116 0.0203790i
\(372\) −22.9409 22.9409i −0.0616691 0.0616691i
\(373\) 27.7530 + 103.576i 0.0744048 + 0.277682i 0.993098 0.117290i \(-0.0374208\pi\)
−0.918693 + 0.394973i \(0.870754\pi\)
\(374\) 622.999 359.689i 1.66577 0.961734i
\(375\) −216.305 9.33023i −0.576814 0.0248806i
\(376\) 647.598 1121.67i 1.72234 2.98317i
\(377\) 406.272 + 406.272i 1.07764 + 1.07764i
\(378\) −74.1638 104.901i −0.196201 0.277517i
\(379\) 0 5.00789e-5i 0 1.32134e-7i 1.00000 6.60672e-8i \(2.10298e-8\pi\)
−1.00000 6.60672e-8i \(1.00000\pi\)
\(380\) 152.700 11.1512i 0.401843 0.0293452i
\(381\) −144.121 249.625i −0.378271 0.655184i
\(382\) 156.260 583.170i 0.409057 1.52662i
\(383\) 48.7638 + 181.989i 0.127321 + 0.475167i 0.999912 0.0132843i \(-0.00422864\pi\)
−0.872591 + 0.488451i \(0.837562\pi\)
\(384\) 327.795i 0.853633i
\(385\) 100.093 + 602.234i 0.259982 + 1.56424i
\(386\) 292.757 0.758439
\(387\) −80.6384 + 21.6070i −0.208368 + 0.0558320i
\(388\) 105.935 + 28.3852i 0.273029 + 0.0731578i
\(389\) 182.547 105.394i 0.469273 0.270935i −0.246662 0.969102i \(-0.579334\pi\)
0.715935 + 0.698166i \(0.246000\pi\)
\(390\) 246.634 285.494i 0.632396 0.732036i
\(391\) −280.324 −0.716940
\(392\) 772.135 + 60.5035i 1.96973 + 0.154346i
\(393\) 199.941 199.941i 0.508755 0.508755i
\(394\) 138.595 + 80.0181i 0.351765 + 0.203092i
\(395\) −100.832 48.7947i −0.255271 0.123531i
\(396\) 221.743 + 384.071i 0.559958 + 0.969876i
\(397\) −242.295 + 64.9229i −0.610316 + 0.163534i −0.550722 0.834689i \(-0.685647\pi\)
−0.0595944 + 0.998223i \(0.518981\pi\)
\(398\) 63.5338 63.5338i 0.159633 0.159633i
\(399\) 15.1692 + 41.0962i 0.0380179 + 0.102998i
\(400\) 202.212 509.519i 0.505530 1.27380i
\(401\) 172.876 299.430i 0.431113 0.746709i −0.565857 0.824503i \(-0.691455\pi\)
0.996969 + 0.0777947i \(0.0247879\pi\)
\(402\) 18.4652 68.9130i 0.0459333 0.171425i
\(403\) 26.3309 + 7.05535i 0.0653373 + 0.0175071i
\(404\) 618.942 + 357.346i 1.53203 + 0.884520i
\(405\) −25.2786 37.2289i −0.0624163 0.0919232i
\(406\) −194.851 + 1135.12i −0.479928 + 2.79587i
\(407\) −375.141 375.141i −0.921721 0.921721i
\(408\) −82.7378 308.782i −0.202789 0.756818i
\(409\) −98.4923 + 56.8646i −0.240812 + 0.139033i −0.615550 0.788098i \(-0.711066\pi\)
0.374738 + 0.927131i \(0.377733\pi\)
\(410\) −499.461 + 173.703i −1.21820 + 0.423666i
\(411\) −128.028 + 221.751i −0.311504 + 0.539541i
\(412\) −702.532 702.532i −1.70518 1.70518i
\(413\) 616.195 56.7263i 1.49200 0.137352i
\(414\) 254.380i 0.614444i
\(415\) −242.421 + 280.617i −0.584147 + 0.676185i
\(416\) 87.7081 + 151.915i 0.210837 + 0.365180i
\(417\) 45.5249 169.901i 0.109172 0.407437i
\(418\) −57.6118 215.010i −0.137827 0.514378i
\(419\) 220.394i 0.526000i −0.964796 0.263000i \(-0.915288\pi\)
0.964796 0.263000i \(-0.0847120\pi\)
\(420\) 511.356 + 49.8103i 1.21751 + 0.118596i
\(421\) −611.981 −1.45364 −0.726818 0.686830i \(-0.759002\pi\)
−0.726818 + 0.686830i \(0.759002\pi\)
\(422\) 477.618 127.977i 1.13180 0.303264i
\(423\) 237.451 + 63.6248i 0.561350 + 0.150413i
\(424\) 23.1263 13.3520i 0.0545431 0.0314905i
\(425\) 33.7880 289.956i 0.0795012 0.682249i
\(426\) 410.739 0.964175
\(427\) 267.853 189.368i 0.627291 0.443486i
\(428\) −856.459 + 856.459i −2.00107 + 2.00107i
\(429\) −322.707 186.315i −0.752231 0.434301i
\(430\) 214.069 442.364i 0.497835 1.02875i
\(431\) 362.392 + 627.681i 0.840816 + 1.45634i 0.889206 + 0.457508i \(0.151258\pi\)
−0.0483893 + 0.998829i \(0.515409\pi\)
\(432\) 110.054 29.4890i 0.254755 0.0682615i
\(433\) −152.433 + 152.433i −0.352038 + 0.352038i −0.860867 0.508829i \(-0.830078\pi\)
0.508829 + 0.860867i \(0.330078\pi\)
\(434\) 18.9218 + 51.2629i 0.0435987 + 0.118117i
\(435\) −75.7548 + 396.245i −0.174149 + 0.910908i
\(436\) −688.579 + 1192.65i −1.57931 + 2.73545i
\(437\) −22.4499 + 83.7842i −0.0513728 + 0.191726i
\(438\) −107.991 28.9362i −0.246556 0.0660644i
\(439\) −719.426 415.361i −1.63878 0.946152i −0.981253 0.192723i \(-0.938268\pi\)
−0.657530 0.753428i \(-0.728399\pi\)
\(440\) −1353.99 258.858i −3.07725 0.588313i
\(441\) 26.8379 + 144.529i 0.0608569 + 0.327731i
\(442\) 359.692 + 359.692i 0.813783 + 0.813783i
\(443\) −86.1258 321.426i −0.194415 0.725566i −0.992418 0.122912i \(-0.960777\pi\)
0.798003 0.602654i \(-0.205890\pi\)
\(444\) −386.662 + 223.240i −0.870861 + 0.502792i
\(445\) −230.100 111.350i −0.517078 0.250225i
\(446\) 331.276 573.787i 0.742771 1.28652i
\(447\) 129.776 + 129.776i 0.290326 + 0.290326i
\(448\) 109.786 238.250i 0.245057 0.531809i
\(449\) 20.5616i 0.0457943i 0.999738 + 0.0228971i \(0.00728902\pi\)
−0.999738 + 0.0228971i \(0.992711\pi\)
\(450\) 263.121 + 30.6610i 0.584712 + 0.0681355i
\(451\) 261.148 + 452.321i 0.579042 + 1.00293i
\(452\) −9.59989 + 35.8273i −0.0212387 + 0.0792639i
\(453\) 72.2501 + 269.641i 0.159492 + 0.595234i
\(454\) 867.138i 1.91000i
\(455\) −393.019 + 178.583i −0.863778 + 0.392490i
\(456\) −98.9159 −0.216921
\(457\) 521.445 139.721i 1.14102 0.305734i 0.361657 0.932311i \(-0.382211\pi\)
0.779360 + 0.626577i \(0.215545\pi\)
\(458\) 857.070 + 229.651i 1.87133 + 0.501422i
\(459\) 52.5452 30.3370i 0.114478 0.0660936i
\(460\) 769.831 + 665.047i 1.67355 + 1.44575i
\(461\) 650.544 1.41116 0.705579 0.708632i \(-0.250687\pi\)
0.705579 + 0.708632i \(0.250687\pi\)
\(462\) −68.4744 743.811i −0.148213 1.60998i
\(463\) 229.971 229.971i 0.496697 0.496697i −0.413711 0.910408i \(-0.635768\pi\)
0.910408 + 0.413711i \(0.135768\pi\)
\(464\) −884.587 510.717i −1.90644 1.10068i
\(465\) 6.28727 + 18.0782i 0.0135210 + 0.0388779i
\(466\) −521.854 903.877i −1.11986 1.93965i
\(467\) 564.037 151.133i 1.20779 0.323626i 0.401895 0.915686i \(-0.368352\pi\)
0.805894 + 0.592060i \(0.201685\pi\)
\(468\) −221.746 + 221.746i −0.473816 + 0.473816i
\(469\) −52.1895 + 62.7728i −0.111278 + 0.133844i
\(470\) −1197.21 + 812.909i −2.54725 + 1.72959i
\(471\) −118.974 + 206.069i −0.252598 + 0.437513i
\(472\) −361.639 + 1349.66i −0.766184 + 2.85944i
\(473\) −468.851 125.628i −0.991228 0.265599i
\(474\) 118.695 + 68.5284i 0.250411 + 0.144575i
\(475\) −83.9571 33.3200i −0.176752 0.0701473i
\(476\) −117.197 + 682.744i −0.246212 + 1.43434i
\(477\) 3.58389 + 3.58389i 0.00751340 + 0.00751340i
\(478\) −92.1745 344.000i −0.192834 0.719665i
\(479\) 255.740 147.651i 0.533904 0.308249i −0.208701 0.977980i \(-0.566924\pi\)
0.742605 + 0.669730i \(0.233590\pi\)
\(480\) −53.6516 + 110.868i −0.111774 + 0.230976i
\(481\) 187.572 324.885i 0.389963 0.675436i
\(482\) −897.465 897.465i −1.86196 1.86196i
\(483\) −121.814 + 264.354i −0.252204 + 0.547317i
\(484\) 1553.05i 3.20878i
\(485\) −48.9622 42.2978i −0.100953 0.0872120i
\(486\) 27.5293 + 47.6822i 0.0566447 + 0.0981115i
\(487\) −8.56814 + 31.9767i −0.0175937 + 0.0656606i −0.974165 0.225839i \(-0.927488\pi\)
0.956571 + 0.291500i \(0.0941543\pi\)
\(488\) 191.709 + 715.468i 0.392846 + 1.46612i
\(489\) 327.127i 0.668972i
\(490\) −747.105 436.639i −1.52470 0.891099i
\(491\) 602.433 1.22695 0.613476 0.789713i \(-0.289771\pi\)
0.613476 + 0.789713i \(0.289771\pi\)
\(492\) 424.573 113.764i 0.862954 0.231228i
\(493\) −525.403 140.781i −1.06573 0.285561i
\(494\) 136.312 78.7000i 0.275936 0.159312i
\(495\) −19.0560 260.946i −0.0384969 0.527163i
\(496\) −48.4619 −0.0977055
\(497\) −426.844 196.689i −0.858841 0.395754i
\(498\) 320.827 320.827i 0.644231 0.644231i
\(499\) 712.187 + 411.181i 1.42723 + 0.824010i 0.996901 0.0786631i \(-0.0250651\pi\)
0.430326 + 0.902673i \(0.358398\pi\)
\(500\) −780.688 + 716.123i −1.56138 + 1.43225i
\(501\) −139.808 242.155i −0.279059 0.483344i
\(502\) 59.6068 15.9716i 0.118739 0.0318159i
\(503\) −494.995 + 494.995i −0.984086 + 0.984086i −0.999875 0.0157893i \(-0.994974\pi\)
0.0157893 + 0.999875i \(0.494974\pi\)
\(504\) −327.145 56.1563i −0.649097 0.111421i
\(505\) −236.856 348.828i −0.469022 0.690749i
\(506\) 739.512 1280.87i 1.46149 2.53137i
\(507\) −7.56391 + 28.2289i −0.0149190 + 0.0556783i
\(508\) −1362.34 365.039i −2.68178 0.718580i
\(509\) −503.114 290.473i −0.988437 0.570674i −0.0836299 0.996497i \(-0.526651\pi\)
−0.904807 + 0.425823i \(0.859985\pi\)
\(510\) −67.0694 + 350.815i −0.131509 + 0.687873i
\(511\) 98.3692 + 81.7844i 0.192503 + 0.160048i
\(512\) 759.774 + 759.774i 1.48393 + 1.48393i
\(513\) −4.85911 18.1345i −0.00947196 0.0353498i
\(514\) 244.377 141.091i 0.475442 0.274497i
\(515\) 192.539 + 553.621i 0.373861 + 1.07499i
\(516\) −204.246 + 353.764i −0.395825 + 0.685589i
\(517\) 1010.67 + 1010.67i 1.95487 + 1.95487i
\(518\) 748.829 68.9365i 1.44562 0.133082i
\(519\) 361.048i 0.695660i
\(520\) −70.9947 972.176i −0.136528 1.86957i
\(521\) −274.035 474.643i −0.525979 0.911023i −0.999542 0.0302629i \(-0.990366\pi\)
0.473563 0.880760i \(-0.342968\pi\)
\(522\) 127.752 476.778i 0.244736 0.913367i
\(523\) 60.8889 + 227.240i 0.116422 + 0.434494i 0.999389 0.0349409i \(-0.0111243\pi\)
−0.882967 + 0.469435i \(0.844458\pi\)
\(524\) 1383.57i 2.64040i
\(525\) −258.755 157.863i −0.492867 0.300692i
\(526\) 612.306 1.16408
\(527\) −24.9278 + 6.67937i −0.0473013 + 0.0126743i
\(528\) 639.882 + 171.456i 1.21190 + 0.324727i
\(529\) −40.9971 + 23.6697i −0.0774992 + 0.0447442i
\(530\) −29.7568 + 2.17304i −0.0561449 + 0.00410007i
\(531\) −265.200 −0.499435
\(532\) 194.675 + 89.7064i 0.365931 + 0.168621i
\(533\) −261.151 + 261.151i −0.489964 + 0.489964i
\(534\) 270.862 + 156.382i 0.507233 + 0.292851i
\(535\) 674.921 234.725i 1.26153 0.438737i
\(536\) −92.1661 159.636i −0.171952 0.297829i
\(537\) −198.917 + 53.2997i −0.370423 + 0.0992546i
\(538\) −462.818 + 462.818i −0.860256 + 0.860256i
\(539\) −285.028 + 805.766i −0.528808 + 1.49493i
\(540\) −216.273 41.3474i −0.400506 0.0765693i
\(541\) 261.735 453.339i 0.483799 0.837965i −0.516028 0.856572i \(-0.672590\pi\)
0.999827 + 0.0186072i \(0.00592319\pi\)
\(542\) −333.159 + 1243.37i −0.614685 + 2.29404i
\(543\) −3.56993 0.956559i −0.00657445 0.00176162i
\(544\) −143.819 83.0342i −0.264374 0.152636i
\(545\) 672.165 456.404i 1.23333 0.837438i
\(546\) 495.505 182.898i 0.907519 0.334977i
\(547\) −201.681 201.681i −0.368703 0.368703i 0.498301 0.867004i \(-0.333958\pi\)
−0.867004 + 0.498301i \(0.833958\pi\)
\(548\) 324.277 + 1210.22i 0.591747 + 2.20843i
\(549\) −121.751 + 70.2928i −0.221768 + 0.128038i
\(550\) 1235.75 + 919.309i 2.24682 + 1.67147i
\(551\) −84.1545 + 145.760i −0.152731 + 0.264537i
\(552\) −464.741 464.741i −0.841923 0.841923i
\(553\) −90.5327 128.054i −0.163712 0.231563i
\(554\) 1707.78i 3.08263i
\(555\) 262.706 19.1846i 0.473345 0.0345668i
\(556\) −430.336 745.364i −0.773985 1.34058i
\(557\) 178.472 666.065i 0.320416 1.19581i −0.598425 0.801179i \(-0.704207\pi\)
0.918841 0.394629i \(-0.129127\pi\)
\(558\) −6.06120 22.6207i −0.0108624 0.0405389i
\(559\) 343.226i 0.614000i
\(560\) 592.723 487.501i 1.05843 0.870537i
\(561\) 352.773 0.628828
\(562\) −1613.42 + 432.315i −2.87086 + 0.769244i
\(563\) −739.166 198.059i −1.31291 0.351792i −0.466590 0.884474i \(-0.654517\pi\)
−0.846315 + 0.532682i \(0.821184\pi\)
\(564\) 1041.71 601.430i 1.84700 1.06637i
\(565\) 14.3051 16.5590i 0.0253188 0.0293080i
\(566\) −876.988 −1.54945
\(567\) −5.77530 62.7347i −0.0101857 0.110643i
\(568\) 750.402 750.402i 1.32113 1.32113i
\(569\) −116.121 67.0425i −0.204079 0.117825i 0.394478 0.918906i \(-0.370926\pi\)
−0.598557 + 0.801080i \(0.704259\pi\)
\(570\) 99.4816 + 48.1412i 0.174529 + 0.0844583i
\(571\) −286.520 496.267i −0.501786 0.869119i −0.999998 0.00206333i \(-0.999343\pi\)
0.498212 0.867055i \(-0.333990\pi\)
\(572\) −1761.19 + 471.910i −3.07901 + 0.825017i
\(573\) 209.351 209.351i 0.365359 0.365359i
\(574\) −729.654 125.249i −1.27117 0.218205i
\(575\) −237.911 551.009i −0.413758 0.958276i
\(576\) −56.2132 + 97.3642i −0.0975924 + 0.169035i
\(577\) −178.653 + 666.742i −0.309624 + 1.15553i 0.619268 + 0.785180i \(0.287430\pi\)
−0.928891 + 0.370352i \(0.879237\pi\)
\(578\) 520.805 + 139.549i 0.901048 + 0.241435i
\(579\) 124.330 + 71.7821i 0.214733 + 0.123976i
\(580\) 1108.88 + 1633.10i 1.91186 + 2.81568i
\(581\) −487.040 + 179.773i −0.838280 + 0.309420i
\(582\) 55.9782 + 55.9782i 0.0961824 + 0.0961824i
\(583\) 7.62709 + 28.4647i 0.0130825 + 0.0488245i
\(584\) −250.161 + 144.430i −0.428358 + 0.247312i
\(585\) 174.744 60.7725i 0.298707 0.103885i
\(586\) 152.726 264.530i 0.260625 0.451416i
\(587\) 688.633 + 688.633i 1.17314 + 1.17314i 0.981457 + 0.191682i \(0.0613942\pi\)
0.191682 + 0.981457i \(0.438606\pi\)
\(588\) 592.922 + 407.207i 1.00837 + 0.692528i
\(589\) 7.98542i 0.0135576i
\(590\) 1020.57 1181.37i 1.72978 2.00232i
\(591\) 39.2398 + 67.9653i 0.0663955 + 0.115000i
\(592\) −172.613 + 644.199i −0.291576 + 1.08817i
\(593\) −100.681 375.748i −0.169783 0.633640i −0.997382 0.0723188i \(-0.976960\pi\)
0.827598 0.561321i \(-0.189707\pi\)
\(594\) 320.124i 0.538929i
\(595\) 237.693 332.453i 0.399484 0.558745i
\(596\) 898.035 1.50677
\(597\) 42.5600 11.4039i 0.0712898 0.0191021i
\(598\) 1010.20 + 270.683i 1.68930 + 0.452647i
\(599\) 223.139 128.830i 0.372520 0.215074i −0.302039 0.953296i \(-0.597667\pi\)
0.674559 + 0.738221i \(0.264334\pi\)
\(600\) 536.727 424.694i 0.894544 0.707823i
\(601\) 91.8404 0.152813 0.0764064 0.997077i \(-0.475655\pi\)
0.0764064 + 0.997077i \(0.475655\pi\)
\(602\) 561.793 397.180i 0.933211 0.659767i
\(603\) 24.7389 24.7389i 0.0410264 0.0410264i
\(604\) 1182.93 + 682.963i 1.95849 + 1.13073i
\(605\) 399.112 824.746i 0.659689 1.36322i
\(606\) 257.945 + 446.773i 0.425651 + 0.737250i
\(607\) 759.412 203.484i 1.25109 0.335229i 0.428333 0.903621i \(-0.359101\pi\)
0.822757 + 0.568393i \(0.192435\pi\)
\(608\) −36.3355 + 36.3355i −0.0597623 + 0.0597623i
\(609\) −361.075 + 434.296i −0.592898 + 0.713130i
\(610\) 155.404 812.862i 0.254761 1.33256i
\(611\) −505.338 + 875.272i −0.827068 + 1.43252i
\(612\) 76.8393 286.768i 0.125554 0.468576i
\(613\) 407.928 + 109.304i 0.665461 + 0.178310i 0.575709 0.817654i \(-0.304726\pi\)
0.0897518 + 0.995964i \(0.471393\pi\)
\(614\) −158.951 91.7706i −0.258878 0.149464i
\(615\) −254.705 48.6950i −0.414155 0.0791789i
\(616\) −1484.01 1233.81i −2.40911 2.00294i
\(617\) 174.640 + 174.640i 0.283047 + 0.283047i 0.834323 0.551276i \(-0.185859\pi\)
−0.551276 + 0.834323i \(0.685859\pi\)
\(618\) −185.616 692.727i −0.300349 1.12092i
\(619\) 408.198 235.673i 0.659448 0.380732i −0.132619 0.991167i \(-0.542339\pi\)
0.792066 + 0.610435i \(0.209005\pi\)
\(620\) 84.3035 + 40.7962i 0.135973 + 0.0658003i
\(621\) 62.3722 108.032i 0.100438 0.173964i
\(622\) −222.159 222.159i −0.357169 0.357169i
\(623\) −206.597 292.222i −0.331616 0.469056i
\(624\) 468.431i 0.750690i
\(625\) 598.618 179.671i 0.957788 0.287474i
\(626\) 324.524 + 562.091i 0.518408 + 0.897909i
\(627\) 28.2520 105.438i 0.0450591 0.168163i
\(628\) 301.344 + 1124.63i 0.479847 + 1.79081i
\(629\) 355.153i 0.564631i
\(630\) 301.685 + 215.695i 0.478865 + 0.342373i
\(631\) −670.413 −1.06246 −0.531230 0.847227i \(-0.678270\pi\)
−0.531230 + 0.847227i \(0.678270\pi\)
\(632\) 342.049 91.6516i 0.541216 0.145018i
\(633\) 234.218 + 62.7584i 0.370012 + 0.0991444i
\(634\) −1127.47 + 650.947i −1.77835 + 1.02673i
\(635\) 629.662 + 543.957i 0.991594 + 0.856625i
\(636\) 24.8002 0.0389940
\(637\) −602.518 47.2125i −0.945868 0.0741170i
\(638\) 2029.32 2029.32i 3.18075 3.18075i
\(639\) 174.435 + 100.710i 0.272982 + 0.157606i
\(640\) −310.831 893.755i −0.485673 1.39649i
\(641\) 617.665 + 1069.83i 0.963596 + 1.66900i 0.713341 + 0.700818i \(0.247181\pi\)
0.250256 + 0.968180i \(0.419485\pi\)
\(642\) −844.506 + 226.285i −1.31543 + 0.352468i
\(643\) −504.796 + 504.796i −0.785064 + 0.785064i −0.980680 0.195617i \(-0.937329\pi\)
0.195617 + 0.980680i \(0.437329\pi\)
\(644\) 493.181 + 1336.12i 0.765809 + 2.07473i
\(645\) 199.377 135.378i 0.309112 0.209888i
\(646\) −74.5061 + 129.048i −0.115334 + 0.199765i
\(647\) 27.8251 103.845i 0.0430064 0.160502i −0.941083 0.338175i \(-0.890190\pi\)
0.984090 + 0.177673i \(0.0568570\pi\)
\(648\) 137.408 + 36.8184i 0.212050 + 0.0568186i
\(649\) −1335.36 770.968i −2.05756 1.18793i
\(650\) −401.746 + 1012.29i −0.618071 + 1.55737i
\(651\) −4.53347 + 26.4102i −0.00696385 + 0.0405687i
\(652\) −1131.84 1131.84i −1.73596 1.73596i
\(653\) 79.6877 + 297.399i 0.122033 + 0.455434i 0.999717 0.0238067i \(-0.00757864\pi\)
−0.877683 + 0.479241i \(0.840912\pi\)
\(654\) −860.898 + 497.040i −1.31636 + 0.760000i
\(655\) −355.558 + 734.745i −0.542837 + 1.12175i
\(656\) 328.287 568.610i 0.500438 0.866784i
\(657\) −38.7676 38.7676i −0.0590070 0.0590070i
\(658\) −2017.42 + 185.722i −3.06599 + 0.282252i
\(659\) 590.013i 0.895315i 0.894205 + 0.447658i \(0.147742\pi\)
−0.894205 + 0.447658i \(0.852258\pi\)
\(660\) −968.792 836.927i −1.46787 1.26807i
\(661\) −1.19346 2.06714i −0.00180554 0.00312729i 0.865121 0.501563i \(-0.167241\pi\)
−0.866927 + 0.498436i \(0.833908\pi\)
\(662\) 411.354 1535.19i 0.621380 2.31902i
\(663\) 64.5625 + 240.951i 0.0973794 + 0.363425i
\(664\) 1172.27i 1.76547i
\(665\) −80.3291 97.6674i −0.120796 0.146868i
\(666\) −322.284 −0.483910
\(667\) −1080.22 + 289.444i −1.61952 + 0.433948i
\(668\) −1321.58 354.115i −1.97841 0.530113i
\(669\) 281.377 162.453i 0.420594 0.242830i
\(670\) 15.0001 + 205.405i 0.0223882 + 0.306575i
\(671\) −817.398 −1.21818
\(672\) −140.801 + 99.5440i −0.209525 + 0.148131i
\(673\) −50.3354 + 50.3354i −0.0747925 + 0.0747925i −0.743513 0.668721i \(-0.766842\pi\)
0.668721 + 0.743513i \(0.266842\pi\)
\(674\) −40.5429 23.4075i −0.0601527 0.0347292i
\(675\) 104.226 + 77.5367i 0.154409 + 0.114869i
\(676\) 71.4998 + 123.841i 0.105769 + 0.183197i
\(677\) −500.800 + 134.189i −0.739734 + 0.198211i −0.608960 0.793201i \(-0.708413\pi\)
−0.130774 + 0.991412i \(0.541746\pi\)
\(678\) −18.9318 + 18.9318i −0.0279230 + 0.0279230i
\(679\) −31.3670 84.9793i −0.0461958 0.125154i
\(680\) 518.391 + 763.457i 0.762340 + 1.12273i
\(681\) 212.616 368.262i 0.312212 0.540767i
\(682\) 35.2413 131.522i 0.0516734 0.192848i
\(683\) −97.0866 26.0143i −0.142147 0.0380883i 0.187044 0.982352i \(-0.440109\pi\)
−0.329191 + 0.944263i \(0.606776\pi\)
\(684\) −79.5566 45.9321i −0.116311 0.0671521i
\(685\) 138.802 726.022i 0.202631 1.05989i
\(686\) −619.954 1040.84i −0.903723 1.51726i
\(687\) 307.677 + 307.677i 0.447857 + 0.447857i
\(688\) 157.926 + 589.389i 0.229544 + 0.856670i
\(689\) −18.0461 + 10.4189i −0.0261917 + 0.0151218i
\(690\) 241.215 + 693.583i 0.349587 + 1.00519i
\(691\) 0.723424 1.25301i 0.00104692 0.00181332i −0.865501 0.500906i \(-0.833000\pi\)
0.866548 + 0.499093i \(0.166333\pi\)
\(692\) 1249.21 + 1249.21i 1.80521 + 1.80521i
\(693\) 153.297 332.676i 0.221208 0.480052i
\(694\) 1384.57i 1.99506i
\(695\) 36.9818 + 506.416i 0.0532112 + 0.728655i
\(696\) −637.655 1104.45i −0.916171 1.58685i
\(697\) 90.4939 337.728i 0.129833 0.484545i
\(698\) 439.457 + 1640.08i 0.629595 + 2.34968i
\(699\) 511.820i 0.732217i
\(700\) −1441.48 + 349.081i −2.05926 + 0.498687i
\(701\) −230.081 −0.328218 −0.164109 0.986442i \(-0.552475\pi\)
−0.164109 + 0.986442i \(0.552475\pi\)
\(702\) −218.651 + 58.5873i −0.311469 + 0.0834577i
\(703\) 106.149 + 28.4427i 0.150995 + 0.0404590i
\(704\) −566.098 + 326.837i −0.804117 + 0.464257i
\(705\) −707.758 + 51.6851i −1.00391 + 0.0733122i
\(706\) 1957.73 2.77299
\(707\) −54.1135 587.813i −0.0765396 0.831419i
\(708\) −917.580 + 917.580i −1.29602 + 1.29602i
\(709\) 383.431 + 221.374i 0.540805 + 0.312234i 0.745405 0.666612i \(-0.232256\pi\)
−0.204600 + 0.978846i \(0.565589\pi\)
\(710\) −1119.91 + 389.482i −1.57733 + 0.548566i
\(711\) 33.6054 + 58.2062i 0.0472649 + 0.0818653i
\(712\) 780.559 209.150i 1.09629 0.293750i
\(713\) −37.5183 + 37.5183i −0.0526203 + 0.0526203i
\(714\) −319.677 + 384.503i −0.447727 + 0.538520i
\(715\) 1056.55 + 201.994i 1.47770 + 0.282509i
\(716\) −503.829 + 872.658i −0.703672 + 1.21880i
\(717\) 45.2011 168.693i 0.0630420 0.235276i
\(718\) −345.587 92.5998i −0.481319 0.128969i
\(719\) −446.525 257.801i −0.621036 0.358555i 0.156236 0.987720i \(-0.450064\pi\)
−0.777272 + 0.629164i \(0.783397\pi\)
\(720\) −272.108 + 184.762i −0.377927 + 0.256614i
\(721\) −138.831 + 808.775i −0.192553 + 1.12174i
\(722\) −868.998 868.998i −1.20360 1.20360i
\(723\) −161.090 601.194i −0.222807 0.831527i
\(724\) −15.6614 + 9.04213i −0.0216318 + 0.0124891i
\(725\) −169.188 1152.22i −0.233363 1.58927i
\(726\) −560.522 + 970.852i −0.772068 + 1.33726i
\(727\) −829.146 829.146i −1.14050 1.14050i −0.988358 0.152145i \(-0.951382\pi\)
−0.152145 0.988358i \(-0.548618\pi\)
\(728\) 571.121 1239.41i 0.784507 1.70249i
\(729\) 27.0000i 0.0370370i
\(730\) 321.884 23.5061i 0.440937 0.0322001i
\(731\) 162.468 + 281.402i 0.222254 + 0.384956i
\(732\) −178.042 + 664.462i −0.243227 + 0.907734i
\(733\) 266.886 + 996.034i 0.364102 + 1.35885i 0.868635 + 0.495453i \(0.164998\pi\)
−0.504533 + 0.863392i \(0.668335\pi\)
\(734\) 1076.26i 1.46629i
\(735\) −210.225 368.620i −0.286020 0.501523i
\(736\) −341.433 −0.463904
\(737\) 196.486 52.6484i 0.266603 0.0714360i
\(738\) 306.471 + 82.1188i 0.415273 + 0.111272i
\(739\) −287.660 + 166.081i −0.389256 + 0.224737i −0.681838 0.731503i \(-0.738819\pi\)
0.292582 + 0.956241i \(0.405486\pi\)
\(740\) 842.574 975.329i 1.13861 1.31801i
\(741\) 77.1868 0.104166
\(742\) −37.9365 17.4811i −0.0511274 0.0235595i
\(743\) −764.980 + 764.980i −1.02958 + 1.02958i −0.0300340 + 0.999549i \(0.509562\pi\)
−0.999549 + 0.0300340i \(0.990438\pi\)
\(744\) −52.4007 30.2535i −0.0704310 0.0406634i
\(745\) −476.902 230.783i −0.640136 0.309775i
\(746\) 189.368 + 327.994i 0.253844 + 0.439671i
\(747\) 214.916 57.5865i 0.287705 0.0770903i
\(748\) 1220.58 1220.58i 1.63179 1.63179i
\(749\) 985.980 + 169.249i 1.31640 + 0.225967i
\(750\) −746.490 + 165.904i −0.995320 + 0.221206i
\(751\) −66.3561 + 114.932i −0.0883570 + 0.153039i −0.906817 0.421525i \(-0.861495\pi\)
0.818460 + 0.574564i \(0.194828\pi\)
\(752\) 465.036 1735.54i 0.618399 2.30790i
\(753\) 29.2304 + 7.83225i 0.0388185 + 0.0104014i
\(754\) 1757.46 + 1014.67i 2.33084 + 1.34571i
\(755\) −452.681 666.683i −0.599577 0.883024i
\(756\) −237.041 197.077i −0.313547 0.260684i
\(757\) 705.876 + 705.876i 0.932465 + 0.932465i 0.997859 0.0653945i \(-0.0208306\pi\)
−0.0653945 + 0.997859i \(0.520831\pi\)
\(758\) 4.57797e−5 0 0.000170852i 6.03954e−8 0 2.25399e-7i
\(759\) 628.122 362.647i 0.827566 0.477795i
\(760\) 269.701 93.7968i 0.354869 0.123417i
\(761\) −21.9538 + 38.0250i −0.0288486 + 0.0499672i −0.880089