Properties

Label 630.2.t.b.311.2
Level 630
Weight 2
Character 630.311
Analytic conductor 5.031
Analytic rank 0
Dimension 28
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 630.t (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.03057532734\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 311.2
Character \(\chi\) \(=\) 630.311
Dual form 630.2.t.b.551.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.18136 - 1.26664i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(0.389766 + 1.68763i) q^{6} +(2.05946 + 1.66090i) q^{7} -1.00000i q^{8} +(-0.208774 + 2.99273i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.18136 - 1.26664i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(0.389766 + 1.68763i) q^{6} +(2.05946 + 1.66090i) q^{7} -1.00000i q^{8} +(-0.208774 + 2.99273i) q^{9} +(0.866025 + 0.500000i) q^{10} -3.95684i q^{11} +(0.506266 - 1.65641i) q^{12} +(-2.82686 - 1.63209i) q^{13} +(-0.953096 - 2.46812i) q^{14} +(1.18136 + 1.26664i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(0.497322 - 0.861388i) q^{17} +(1.67717 - 2.48739i) q^{18} +(-4.90846 + 2.83390i) q^{19} +(-0.500000 - 0.866025i) q^{20} +(-0.329195 - 4.57074i) q^{21} +(-1.97842 + 3.42673i) q^{22} -7.70987i q^{23} +(-1.26664 + 1.18136i) q^{24} +1.00000 q^{25} +(1.63209 + 2.82686i) q^{26} +(4.03736 - 3.27105i) q^{27} +(-0.408654 + 2.61400i) q^{28} +(-4.10273 + 2.36871i) q^{29} +(-0.389766 - 1.68763i) q^{30} +(-4.83278 + 2.79020i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-5.01191 + 4.67446i) q^{33} +(-0.861388 + 0.497322i) q^{34} +(-2.05946 - 1.66090i) q^{35} +(-2.69616 + 1.31556i) q^{36} +(-5.05548 - 8.75634i) q^{37} +5.66780 q^{38} +(1.27227 + 5.50871i) q^{39} +1.00000i q^{40} +(-5.16567 + 8.94721i) q^{41} +(-2.00028 + 4.12297i) q^{42} +(5.10292 + 8.83852i) q^{43} +(3.42673 - 1.97842i) q^{44} +(0.208774 - 2.99273i) q^{45} +(-3.85494 + 6.67695i) q^{46} +(-2.36963 + 4.10432i) q^{47} +(1.68763 - 0.389766i) q^{48} +(1.48279 + 6.84115i) q^{49} +(-0.866025 - 0.500000i) q^{50} +(-1.67859 + 0.387679i) q^{51} -3.26418i q^{52} +(-8.82289 - 5.09390i) q^{53} +(-5.13198 + 0.814131i) q^{54} +3.95684i q^{55} +(1.66090 - 2.05946i) q^{56} +(9.38820 + 2.86941i) q^{57} +4.73743 q^{58} +(-1.70360 - 2.95072i) q^{59} +(-0.506266 + 1.65641i) q^{60} +(5.45543 + 3.14969i) q^{61} +5.58041 q^{62} +(-5.40060 + 5.81666i) q^{63} -1.00000 q^{64} +(2.82686 + 1.63209i) q^{65} +(6.67767 - 1.54224i) q^{66} +(-4.61095 - 7.98640i) q^{67} +0.994645 q^{68} +(-9.76567 + 9.10814i) q^{69} +(0.953096 + 2.46812i) q^{70} +2.74965i q^{71} +(2.99273 + 0.208774i) q^{72} +(-12.7539 - 7.36348i) q^{73} +10.1110i q^{74} +(-1.18136 - 1.26664i) q^{75} +(-4.90846 - 2.83390i) q^{76} +(6.57194 - 8.14898i) q^{77} +(1.65254 - 5.40682i) q^{78} +(0.920736 - 1.59476i) q^{79} +(0.500000 - 0.866025i) q^{80} +(-8.91283 - 1.24961i) q^{81} +(8.94721 - 5.16567i) q^{82} +(0.789829 + 1.36802i) q^{83} +(3.79378 - 2.57046i) q^{84} +(-0.497322 + 0.861388i) q^{85} -10.2058i q^{86} +(7.84713 + 2.39840i) q^{87} -3.95684 q^{88} +(-6.92781 - 11.9993i) q^{89} +(-1.67717 + 2.48739i) q^{90} +(-3.11107 - 8.05637i) q^{91} +(6.67695 - 3.85494i) q^{92} +(9.24345 + 2.82517i) q^{93} +(4.10432 - 2.36963i) q^{94} +(4.90846 - 2.83390i) q^{95} +(-1.65641 - 0.506266i) q^{96} +(0.776974 - 0.448586i) q^{97} +(2.13644 - 6.66600i) q^{98} +(11.8417 + 0.826087i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} - 4q^{12} + 6q^{14} + 2q^{15} - 14q^{16} - 6q^{17} - 4q^{18} - 6q^{19} - 14q^{20} + 6q^{21} - 6q^{22} - 4q^{24} + 28q^{25} + 12q^{26} + 28q^{27} - 8q^{28} + 8q^{30} - 12q^{31} + 26q^{33} + 4q^{35} - 6q^{36} + 4q^{37} - 12q^{38} + 54q^{39} + 18q^{41} - 32q^{42} + 28q^{43} - 6q^{45} - 18q^{46} + 30q^{47} - 2q^{48} - 14q^{49} + 34q^{51} - 42q^{53} + 14q^{54} + 6q^{56} - 30q^{57} - 12q^{58} - 24q^{59} + 4q^{60} + 24q^{61} - 12q^{62} + 44q^{63} - 28q^{64} - 10q^{66} - 40q^{67} - 12q^{68} + 8q^{69} - 6q^{70} + 4q^{72} + 6q^{73} - 2q^{75} - 6q^{76} - 24q^{77} + 14q^{78} + 2q^{79} + 14q^{80} - 46q^{81} + 24q^{82} - 18q^{83} + 18q^{84} + 6q^{85} + 104q^{87} - 12q^{88} + 6q^{89} + 4q^{90} + 66q^{91} - 30q^{92} + 40q^{93} + 42q^{94} + 6q^{95} + 4q^{96} - 72q^{97} - 24q^{98} - 42q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(281\) \(451\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) −1.18136 1.26664i −0.682059 0.731297i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.00000 −0.447214
\(6\) 0.389766 + 1.68763i 0.159121 + 0.688971i
\(7\) 2.05946 + 1.66090i 0.778404 + 0.627763i
\(8\) 1.00000i 0.353553i
\(9\) −0.208774 + 2.99273i −0.0695914 + 0.997576i
\(10\) 0.866025 + 0.500000i 0.273861 + 0.158114i
\(11\) 3.95684i 1.19303i −0.802601 0.596516i \(-0.796551\pi\)
0.802601 0.596516i \(-0.203449\pi\)
\(12\) 0.506266 1.65641i 0.146146 0.478164i
\(13\) −2.82686 1.63209i −0.784030 0.452660i 0.0538267 0.998550i \(-0.482858\pi\)
−0.837857 + 0.545890i \(0.816191\pi\)
\(14\) −0.953096 2.46812i −0.254726 0.659632i
\(15\) 1.18136 + 1.26664i 0.305026 + 0.327046i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 0.497322 0.861388i 0.120618 0.208917i −0.799393 0.600808i \(-0.794846\pi\)
0.920012 + 0.391891i \(0.128179\pi\)
\(18\) 1.67717 2.48739i 0.395312 0.586284i
\(19\) −4.90846 + 2.83390i −1.12608 + 0.650141i −0.942945 0.332947i \(-0.891957\pi\)
−0.183132 + 0.983088i \(0.558624\pi\)
\(20\) −0.500000 0.866025i −0.111803 0.193649i
\(21\) −0.329195 4.57074i −0.0718363 0.997416i
\(22\) −1.97842 + 3.42673i −0.421801 + 0.730580i
\(23\) 7.70987i 1.60762i −0.594886 0.803810i \(-0.702803\pi\)
0.594886 0.803810i \(-0.297197\pi\)
\(24\) −1.26664 + 1.18136i −0.258553 + 0.241144i
\(25\) 1.00000 0.200000
\(26\) 1.63209 + 2.82686i 0.320079 + 0.554393i
\(27\) 4.03736 3.27105i 0.776990 0.629513i
\(28\) −0.408654 + 2.61400i −0.0772283 + 0.494000i
\(29\) −4.10273 + 2.36871i −0.761858 + 0.439859i −0.829963 0.557819i \(-0.811638\pi\)
0.0681041 + 0.997678i \(0.478305\pi\)
\(30\) −0.389766 1.68763i −0.0711613 0.308117i
\(31\) −4.83278 + 2.79020i −0.867992 + 0.501135i −0.866680 0.498864i \(-0.833751\pi\)
−0.00131164 + 0.999999i \(0.500418\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −5.01191 + 4.67446i −0.872462 + 0.813719i
\(34\) −0.861388 + 0.497322i −0.147727 + 0.0852901i
\(35\) −2.05946 1.66090i −0.348113 0.280744i
\(36\) −2.69616 + 1.31556i −0.449361 + 0.219260i
\(37\) −5.05548 8.75634i −0.831115 1.43953i −0.897155 0.441717i \(-0.854370\pi\)
0.0660393 0.997817i \(-0.478964\pi\)
\(38\) 5.66780 0.919438
\(39\) 1.27227 + 5.50871i 0.203726 + 0.882100i
\(40\) 1.00000i 0.158114i
\(41\) −5.16567 + 8.94721i −0.806743 + 1.39732i 0.108365 + 0.994111i \(0.465438\pi\)
−0.915108 + 0.403208i \(0.867895\pi\)
\(42\) −2.00028 + 4.12297i −0.308649 + 0.636188i
\(43\) 5.10292 + 8.83852i 0.778188 + 1.34786i 0.932985 + 0.359915i \(0.117194\pi\)
−0.154797 + 0.987946i \(0.549472\pi\)
\(44\) 3.42673 1.97842i 0.516598 0.298258i
\(45\) 0.208774 2.99273i 0.0311222 0.446129i
\(46\) −3.85494 + 6.67695i −0.568379 + 0.984462i
\(47\) −2.36963 + 4.10432i −0.345646 + 0.598677i −0.985471 0.169844i \(-0.945674\pi\)
0.639825 + 0.768521i \(0.279007\pi\)
\(48\) 1.68763 0.389766i 0.243588 0.0562579i
\(49\) 1.48279 + 6.84115i 0.211827 + 0.977307i
\(50\) −0.866025 0.500000i −0.122474 0.0707107i
\(51\) −1.67859 + 0.387679i −0.235049 + 0.0542859i
\(52\) 3.26418i 0.452660i
\(53\) −8.82289 5.09390i −1.21192 0.699701i −0.248741 0.968570i \(-0.580017\pi\)
−0.963177 + 0.268869i \(0.913350\pi\)
\(54\) −5.13198 + 0.814131i −0.698374 + 0.110789i
\(55\) 3.95684i 0.533540i
\(56\) 1.66090 2.05946i 0.221948 0.275208i
\(57\) 9.38820 + 2.86941i 1.24350 + 0.380063i
\(58\) 4.73743 0.622055
\(59\) −1.70360 2.95072i −0.221790 0.384152i 0.733562 0.679623i \(-0.237857\pi\)
−0.955352 + 0.295471i \(0.904523\pi\)
\(60\) −0.506266 + 1.65641i −0.0653586 + 0.213842i
\(61\) 5.45543 + 3.14969i 0.698496 + 0.403277i 0.806787 0.590842i \(-0.201204\pi\)
−0.108291 + 0.994119i \(0.534538\pi\)
\(62\) 5.58041 0.708713
\(63\) −5.40060 + 5.81666i −0.680411 + 0.732830i
\(64\) −1.00000 −0.125000
\(65\) 2.82686 + 1.63209i 0.350629 + 0.202436i
\(66\) 6.67767 1.54224i 0.821964 0.189837i
\(67\) −4.61095 7.98640i −0.563317 0.975694i −0.997204 0.0747267i \(-0.976192\pi\)
0.433887 0.900967i \(-0.357142\pi\)
\(68\) 0.994645 0.120618
\(69\) −9.76567 + 9.10814i −1.17565 + 1.09649i
\(70\) 0.953096 + 2.46812i 0.113917 + 0.294997i
\(71\) 2.74965i 0.326324i 0.986599 + 0.163162i \(0.0521693\pi\)
−0.986599 + 0.163162i \(0.947831\pi\)
\(72\) 2.99273 + 0.208774i 0.352696 + 0.0246043i
\(73\) −12.7539 7.36348i −1.49273 0.861830i −0.492767 0.870161i \(-0.664015\pi\)
−0.999965 + 0.00833139i \(0.997348\pi\)
\(74\) 10.1110i 1.17537i
\(75\) −1.18136 1.26664i −0.136412 0.146259i
\(76\) −4.90846 2.83390i −0.563039 0.325071i
\(77\) 6.57194 8.14898i 0.748942 0.928662i
\(78\) 1.65254 5.40682i 0.187113 0.612201i
\(79\) 0.920736 1.59476i 0.103591 0.179425i −0.809571 0.587022i \(-0.800300\pi\)
0.913162 + 0.407598i \(0.133633\pi\)
\(80\) 0.500000 0.866025i 0.0559017 0.0968246i
\(81\) −8.91283 1.24961i −0.990314 0.138845i
\(82\) 8.94721 5.16567i 0.988054 0.570453i
\(83\) 0.789829 + 1.36802i 0.0866950 + 0.150160i 0.906112 0.423037i \(-0.139036\pi\)
−0.819417 + 0.573198i \(0.805703\pi\)
\(84\) 3.79378 2.57046i 0.413935 0.280460i
\(85\) −0.497322 + 0.861388i −0.0539422 + 0.0934306i
\(86\) 10.2058i 1.10052i
\(87\) 7.84713 + 2.39840i 0.841300 + 0.257135i
\(88\) −3.95684 −0.421801
\(89\) −6.92781 11.9993i −0.734347 1.27193i −0.955009 0.296576i \(-0.904155\pi\)
0.220663 0.975350i \(-0.429178\pi\)
\(90\) −1.67717 + 2.48739i −0.176789 + 0.262194i
\(91\) −3.11107 8.05637i −0.326129 0.844537i
\(92\) 6.67695 3.85494i 0.696120 0.401905i
\(93\) 9.24345 + 2.82517i 0.958501 + 0.292956i
\(94\) 4.10432 2.36963i 0.423329 0.244409i
\(95\) 4.90846 2.83390i 0.503597 0.290752i
\(96\) −1.65641 0.506266i −0.169057 0.0516705i
\(97\) 0.776974 0.448586i 0.0788897 0.0455470i −0.460036 0.887900i \(-0.652164\pi\)
0.538926 + 0.842353i \(0.318830\pi\)
\(98\) 2.13644 6.66600i 0.215813 0.673368i
\(99\) 11.8417 + 0.826087i 1.19014 + 0.0830249i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) −0.215695 −0.0214624 −0.0107312 0.999942i \(-0.503416\pi\)
−0.0107312 + 0.999942i \(0.503416\pi\)
\(102\) 1.64754 + 0.503554i 0.163131 + 0.0498593i
\(103\) 11.3535i 1.11869i 0.828934 + 0.559346i \(0.188948\pi\)
−0.828934 + 0.559346i \(0.811052\pi\)
\(104\) −1.63209 + 2.82686i −0.160039 + 0.277196i
\(105\) 0.329195 + 4.57074i 0.0321261 + 0.446058i
\(106\) 5.09390 + 8.82289i 0.494763 + 0.856955i
\(107\) −5.53564 + 3.19600i −0.535151 + 0.308969i −0.743111 0.669168i \(-0.766651\pi\)
0.207961 + 0.978137i \(0.433317\pi\)
\(108\) 4.85149 + 1.86093i 0.466835 + 0.179068i
\(109\) 0.615666 1.06636i 0.0589701 0.102139i −0.835033 0.550199i \(-0.814552\pi\)
0.894003 + 0.448060i \(0.147885\pi\)
\(110\) 1.97842 3.42673i 0.188635 0.326725i
\(111\) −5.11883 + 16.7479i −0.485858 + 1.58964i
\(112\) −2.46812 + 0.953096i −0.233215 + 0.0900591i
\(113\) −7.32005 4.22623i −0.688612 0.397571i 0.114480 0.993426i \(-0.463480\pi\)
−0.803092 + 0.595855i \(0.796813\pi\)
\(114\) −6.69571 7.17908i −0.627111 0.672383i
\(115\) 7.70987i 0.718949i
\(116\) −4.10273 2.36871i −0.380929 0.219930i
\(117\) 5.47457 8.11928i 0.506124 0.750628i
\(118\) 3.40720i 0.313658i
\(119\) 2.45490 0.947992i 0.225040 0.0869023i
\(120\) 1.26664 1.18136i 0.115628 0.107843i
\(121\) −4.65660 −0.423327
\(122\) −3.14969 5.45543i −0.285160 0.493911i
\(123\) 17.4355 4.02681i 1.57210 0.363085i
\(124\) −4.83278 2.79020i −0.433996 0.250568i
\(125\) −1.00000 −0.0894427
\(126\) 7.58539 2.33708i 0.675760 0.208203i
\(127\) 20.5777 1.82598 0.912988 0.407985i \(-0.133769\pi\)
0.912988 + 0.407985i \(0.133769\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 5.16687 16.9051i 0.454917 1.48841i
\(130\) −1.63209 2.82686i −0.143144 0.247932i
\(131\) 5.00917 0.437654 0.218827 0.975764i \(-0.429777\pi\)
0.218827 + 0.975764i \(0.429777\pi\)
\(132\) −6.55415 2.00321i −0.570466 0.174357i
\(133\) −14.8156 2.31617i −1.28468 0.200837i
\(134\) 9.22190i 0.796651i
\(135\) −4.03736 + 3.27105i −0.347480 + 0.281527i
\(136\) −0.861388 0.497322i −0.0738634 0.0426450i
\(137\) 9.23672i 0.789147i −0.918864 0.394573i \(-0.870892\pi\)
0.918864 0.394573i \(-0.129108\pi\)
\(138\) 13.0114 3.00505i 1.10760 0.255807i
\(139\) −11.2919 6.51936i −0.957763 0.552965i −0.0622791 0.998059i \(-0.519837\pi\)
−0.895484 + 0.445094i \(0.853170\pi\)
\(140\) 0.408654 2.61400i 0.0345375 0.220923i
\(141\) 7.99811 1.84721i 0.673562 0.155563i
\(142\) 1.37483 2.38127i 0.115373 0.199832i
\(143\) −6.45792 + 11.1854i −0.540038 + 0.935373i
\(144\) −2.48739 1.67717i −0.207283 0.139764i
\(145\) 4.10273 2.36871i 0.340713 0.196711i
\(146\) 7.36348 + 12.7539i 0.609406 + 1.05552i
\(147\) 6.91359 9.96003i 0.570224 0.821490i
\(148\) 5.05548 8.75634i 0.415558 0.719767i
\(149\) 22.0661i 1.80773i −0.427821 0.903863i \(-0.640719\pi\)
0.427821 0.903863i \(-0.359281\pi\)
\(150\) 0.389766 + 1.68763i 0.0318243 + 0.137794i
\(151\) 5.53782 0.450661 0.225331 0.974282i \(-0.427654\pi\)
0.225331 + 0.974282i \(0.427654\pi\)
\(152\) 2.83390 + 4.90846i 0.229860 + 0.398128i
\(153\) 2.47407 + 1.66819i 0.200017 + 0.134865i
\(154\) −9.76595 + 3.77125i −0.786963 + 0.303896i
\(155\) 4.83278 2.79020i 0.388178 0.224115i
\(156\) −4.13455 + 3.85617i −0.331029 + 0.308741i
\(157\) 14.5468 8.39860i 1.16096 0.670281i 0.209427 0.977824i \(-0.432840\pi\)
0.951534 + 0.307543i \(0.0995068\pi\)
\(158\) −1.59476 + 0.920736i −0.126872 + 0.0732498i
\(159\) 3.97086 + 17.1932i 0.314910 + 1.36351i
\(160\) −0.866025 + 0.500000i −0.0684653 + 0.0395285i
\(161\) 12.8054 15.8782i 1.00920 1.25138i
\(162\) 7.09393 + 5.53861i 0.557352 + 0.435154i
\(163\) 0.864749 + 1.49779i 0.0677324 + 0.117316i 0.897903 0.440194i \(-0.145090\pi\)
−0.830170 + 0.557510i \(0.811757\pi\)
\(164\) −10.3313 −0.806743
\(165\) 5.01191 4.67446i 0.390177 0.363906i
\(166\) 1.57966i 0.122605i
\(167\) −0.371022 + 0.642629i −0.0287105 + 0.0497281i −0.880024 0.474930i \(-0.842473\pi\)
0.851313 + 0.524658i \(0.175807\pi\)
\(168\) −4.57074 + 0.329195i −0.352640 + 0.0253979i
\(169\) −1.17257 2.03096i −0.0901981 0.156228i
\(170\) 0.861388 0.497322i 0.0660654 0.0381429i
\(171\) −7.45633 15.2813i −0.570200 1.16859i
\(172\) −5.10292 + 8.83852i −0.389094 + 0.673930i
\(173\) 0.482119 0.835055i 0.0366548 0.0634881i −0.847116 0.531408i \(-0.821663\pi\)
0.883771 + 0.467920i \(0.154996\pi\)
\(174\) −5.59661 6.00064i −0.424278 0.454907i
\(175\) 2.05946 + 1.66090i 0.155681 + 0.125553i
\(176\) 3.42673 + 1.97842i 0.258299 + 0.149129i
\(177\) −1.72495 + 5.64373i −0.129655 + 0.424208i
\(178\) 13.8556i 1.03852i
\(179\) −0.186006 0.107391i −0.0139028 0.00802676i 0.493033 0.870011i \(-0.335888\pi\)
−0.506935 + 0.861984i \(0.669222\pi\)
\(180\) 2.69616 1.31556i 0.200960 0.0980560i
\(181\) 11.1757i 0.830681i −0.909666 0.415341i \(-0.863662\pi\)
0.909666 0.415341i \(-0.136338\pi\)
\(182\) −1.33392 + 8.53256i −0.0988765 + 0.632476i
\(183\) −2.45529 10.6310i −0.181500 0.785867i
\(184\) −7.70987 −0.568379
\(185\) 5.05548 + 8.75634i 0.371686 + 0.643779i
\(186\) −6.59247 7.06839i −0.483384 0.518280i
\(187\) −3.40837 1.96783i −0.249245 0.143902i
\(188\) −4.73926 −0.345646
\(189\) 13.7477 0.0309387i 0.999997 0.00225046i
\(190\) −5.66780 −0.411185
\(191\) 16.3524 + 9.44109i 1.18322 + 0.683133i 0.956758 0.290886i \(-0.0939502\pi\)
0.226464 + 0.974020i \(0.427284\pi\)
\(192\) 1.18136 + 1.26664i 0.0852574 + 0.0914122i
\(193\) 2.94509 + 5.10105i 0.211992 + 0.367181i 0.952338 0.305045i \(-0.0986715\pi\)
−0.740346 + 0.672226i \(0.765338\pi\)
\(194\) −0.897172 −0.0644132
\(195\) −1.27227 5.50871i −0.0911089 0.394487i
\(196\) −5.18322 + 4.70471i −0.370230 + 0.336051i
\(197\) 24.0786i 1.71553i 0.514043 + 0.857764i \(0.328147\pi\)
−0.514043 + 0.857764i \(0.671853\pi\)
\(198\) −9.84221 6.63629i −0.699455 0.471620i
\(199\) 13.1750 + 7.60658i 0.933950 + 0.539216i 0.888059 0.459730i \(-0.152054\pi\)
0.0458914 + 0.998946i \(0.485387\pi\)
\(200\) 1.00000i 0.0707107i
\(201\) −4.66873 + 15.2753i −0.329307 + 1.07743i
\(202\) 0.186797 + 0.107847i 0.0131430 + 0.00758812i
\(203\) −12.3836 1.93597i −0.869161 0.135878i
\(204\) −1.17503 1.25986i −0.0822688 0.0882079i
\(205\) 5.16567 8.94721i 0.360786 0.624900i
\(206\) 5.67674 9.83240i 0.395517 0.685056i
\(207\) 23.0735 + 1.60962i 1.60372 + 0.111877i
\(208\) 2.82686 1.63209i 0.196007 0.113165i
\(209\) 11.2133 + 19.4220i 0.775640 + 1.34345i
\(210\) 2.00028 4.12297i 0.138032 0.284512i
\(211\) −3.11109 + 5.38856i −0.214176 + 0.370964i −0.953017 0.302916i \(-0.902040\pi\)
0.738841 + 0.673879i \(0.235373\pi\)
\(212\) 10.1878i 0.699701i
\(213\) 3.48283 3.24833i 0.238640 0.222572i
\(214\) 6.39201 0.436949
\(215\) −5.10292 8.83852i −0.348016 0.602782i
\(216\) −3.27105 4.03736i −0.222567 0.274707i
\(217\) −14.5872 2.28045i −0.990243 0.154807i
\(218\) −1.06636 + 0.615666i −0.0722233 + 0.0416982i
\(219\) 5.74007 + 24.8536i 0.387878 + 1.67945i
\(220\) −3.42673 + 1.97842i −0.231030 + 0.133385i
\(221\) −2.81172 + 1.62335i −0.189137 + 0.109198i
\(222\) 12.8070 11.9447i 0.859548 0.801675i
\(223\) −4.37102 + 2.52361i −0.292705 + 0.168994i −0.639161 0.769073i \(-0.720718\pi\)
0.346456 + 0.938066i \(0.387385\pi\)
\(224\) 2.61400 + 0.408654i 0.174655 + 0.0273043i
\(225\) −0.208774 + 2.99273i −0.0139183 + 0.199515i
\(226\) 4.22623 + 7.32005i 0.281125 + 0.486922i
\(227\) −5.07962 −0.337146 −0.168573 0.985689i \(-0.553916\pi\)
−0.168573 + 0.985689i \(0.553916\pi\)
\(228\) 2.20912 + 9.56513i 0.146302 + 0.633466i
\(229\) 29.6559i 1.95972i −0.199692 0.979859i \(-0.563994\pi\)
0.199692 0.979859i \(-0.436006\pi\)
\(230\) 3.85494 6.67695i 0.254187 0.440265i
\(231\) −18.0857 + 1.30257i −1.18995 + 0.0857030i
\(232\) 2.36871 + 4.10273i 0.155514 + 0.269358i
\(233\) −15.8420 + 9.14639i −1.03784 + 0.599200i −0.919222 0.393740i \(-0.871181\pi\)
−0.118622 + 0.992939i \(0.537848\pi\)
\(234\) −8.80076 + 4.29422i −0.575324 + 0.280722i
\(235\) 2.36963 4.10432i 0.154578 0.267737i
\(236\) 1.70360 2.95072i 0.110895 0.192076i
\(237\) −3.10772 + 0.717744i −0.201868 + 0.0466225i
\(238\) −2.60000 0.406465i −0.168533 0.0263472i
\(239\) 6.05638 + 3.49665i 0.391755 + 0.226180i 0.682920 0.730493i \(-0.260710\pi\)
−0.291165 + 0.956673i \(0.594043\pi\)
\(240\) −1.68763 + 0.389766i −0.108936 + 0.0251593i
\(241\) 5.51586i 0.355308i 0.984093 + 0.177654i \(0.0568507\pi\)
−0.984093 + 0.177654i \(0.943149\pi\)
\(242\) 4.03273 + 2.32830i 0.259234 + 0.149669i
\(243\) 8.94645 + 12.7656i 0.573915 + 0.818915i
\(244\) 6.29939i 0.403277i
\(245\) −1.48279 6.84115i −0.0947319 0.437065i
\(246\) −17.1130 5.23041i −1.09108 0.333479i
\(247\) 18.5007 1.17717
\(248\) 2.79020 + 4.83278i 0.177178 + 0.306882i
\(249\) 0.799727 2.61656i 0.0506806 0.165818i
\(250\) 0.866025 + 0.500000i 0.0547723 + 0.0316228i
\(251\) 0.276363 0.0174439 0.00872195 0.999962i \(-0.497224\pi\)
0.00872195 + 0.999962i \(0.497224\pi\)
\(252\) −7.73767 1.76872i −0.487428 0.111419i
\(253\) −30.5068 −1.91794
\(254\) −17.8208 10.2889i −1.11818 0.645580i
\(255\) 1.67859 0.387679i 0.105117 0.0242774i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −16.4912 −1.02870 −0.514348 0.857582i \(-0.671966\pi\)
−0.514348 + 0.857582i \(0.671966\pi\)
\(258\) −12.9272 + 12.0568i −0.804810 + 0.750622i
\(259\) 4.13188 26.4300i 0.256742 1.64228i
\(260\) 3.26418i 0.202436i
\(261\) −6.23237 12.7729i −0.385774 0.790622i
\(262\) −4.33807 2.50459i −0.268007 0.154734i
\(263\) 2.50928i 0.154729i 0.997003 + 0.0773646i \(0.0246505\pi\)
−0.997003 + 0.0773646i \(0.975349\pi\)
\(264\) 4.67446 + 5.01191i 0.287693 + 0.308462i
\(265\) 8.82289 + 5.09390i 0.541986 + 0.312916i
\(266\) 11.6726 + 9.41368i 0.715695 + 0.577189i
\(267\) −7.01463 + 22.9506i −0.429288 + 1.40455i
\(268\) 4.61095 7.98640i 0.281659 0.487847i
\(269\) −13.3603 + 23.1408i −0.814594 + 1.41092i 0.0950245 + 0.995475i \(0.469707\pi\)
−0.909619 + 0.415444i \(0.863626\pi\)
\(270\) 5.13198 0.814131i 0.312322 0.0495464i
\(271\) 12.9500 7.47668i 0.786656 0.454176i −0.0521278 0.998640i \(-0.516600\pi\)
0.838784 + 0.544464i \(0.183267\pi\)
\(272\) 0.497322 + 0.861388i 0.0301546 + 0.0522293i
\(273\) −6.52926 + 13.4581i −0.395169 + 0.814522i
\(274\) −4.61836 + 7.99924i −0.279005 + 0.483252i
\(275\) 3.95684i 0.238607i
\(276\) −12.7707 3.90324i −0.768707 0.234948i
\(277\) −14.2293 −0.854956 −0.427478 0.904026i \(-0.640598\pi\)
−0.427478 + 0.904026i \(0.640598\pi\)
\(278\) 6.51936 + 11.2919i 0.391005 + 0.677241i
\(279\) −7.34136 15.0457i −0.439516 0.900762i
\(280\) −1.66090 + 2.05946i −0.0992581 + 0.123077i
\(281\) 21.5588 12.4470i 1.28609 0.742524i 0.308135 0.951343i \(-0.400295\pi\)
0.977954 + 0.208819i \(0.0669620\pi\)
\(282\) −7.85017 2.39933i −0.467471 0.142878i
\(283\) 14.8780 8.58983i 0.884407 0.510612i 0.0122977 0.999924i \(-0.496085\pi\)
0.872109 + 0.489312i \(0.162752\pi\)
\(284\) −2.38127 + 1.37483i −0.141302 + 0.0815810i
\(285\) −9.38820 2.86941i −0.556109 0.169969i
\(286\) 11.1854 6.45792i 0.661409 0.381865i
\(287\) −25.4990 + 9.84677i −1.50516 + 0.581236i
\(288\) 1.31556 + 2.69616i 0.0775201 + 0.158873i
\(289\) 8.00534 + 13.8657i 0.470902 + 0.815627i
\(290\) −4.73743 −0.278191
\(291\) −1.48609 0.454207i −0.0871159 0.0266261i
\(292\) 14.7270i 0.861830i
\(293\) −3.98706 + 6.90578i −0.232926 + 0.403440i −0.958668 0.284527i \(-0.908163\pi\)
0.725742 + 0.687967i \(0.241497\pi\)
\(294\) −10.9674 + 5.16884i −0.639630 + 0.301453i
\(295\) 1.70360 + 2.95072i 0.0991875 + 0.171798i
\(296\) −8.75634 + 5.05548i −0.508952 + 0.293844i
\(297\) −12.9430 15.9752i −0.751030 0.926974i
\(298\) −11.0331 + 19.1098i −0.639128 + 1.10700i
\(299\) −12.5832 + 21.7947i −0.727705 + 1.26042i
\(300\) 0.506266 1.65641i 0.0292293 0.0956329i
\(301\) −4.17065 + 26.6781i −0.240392 + 1.53770i
\(302\) −4.79589 2.76891i −0.275973 0.159333i
\(303\) 0.254814 + 0.273209i 0.0146387 + 0.0156954i
\(304\) 5.66780i 0.325071i
\(305\) −5.45543 3.14969i −0.312377 0.180351i
\(306\) −1.30851 2.68173i −0.0748028 0.153304i
\(307\) 15.5665i 0.888429i −0.895920 0.444215i \(-0.853483\pi\)
0.895920 0.444215i \(-0.146517\pi\)
\(308\) 10.3432 + 1.61698i 0.589358 + 0.0921358i
\(309\) 14.3808 13.4126i 0.818096 0.763014i
\(310\) −5.58041 −0.316946
\(311\) −10.0834 17.4650i −0.571779 0.990350i −0.996383 0.0849714i \(-0.972920\pi\)
0.424604 0.905379i \(-0.360413\pi\)
\(312\) 5.50871 1.27227i 0.311869 0.0720279i
\(313\) −5.77815 3.33602i −0.326600 0.188563i 0.327730 0.944771i \(-0.393716\pi\)
−0.654331 + 0.756209i \(0.727050\pi\)
\(314\) −16.7972 −0.947921
\(315\) 5.40060 5.81666i 0.304289 0.327732i
\(316\) 1.84147 0.103591
\(317\) 22.1197 + 12.7708i 1.24236 + 0.717279i 0.969575 0.244795i \(-0.0787207\pi\)
0.272789 + 0.962074i \(0.412054\pi\)
\(318\) 5.15773 16.8752i 0.289231 0.946313i
\(319\) 9.37263 + 16.2339i 0.524766 + 0.908922i
\(320\) 1.00000 0.0559017
\(321\) 10.5878 + 3.23605i 0.590953 + 0.180619i
\(322\) −19.0289 + 7.34825i −1.06044 + 0.409502i
\(323\) 5.63745i 0.313676i
\(324\) −3.37422 8.34354i −0.187457 0.463530i
\(325\) −2.82686 1.63209i −0.156806 0.0905320i
\(326\) 1.72950i 0.0957881i
\(327\) −2.07803 + 0.479932i −0.114915 + 0.0265403i
\(328\) 8.94721 + 5.16567i 0.494027 + 0.285227i
\(329\) −11.6971 + 4.51697i −0.644880 + 0.249029i
\(330\) −6.67767 + 1.54224i −0.367594 + 0.0848977i
\(331\) −0.906390 + 1.56991i −0.0498197 + 0.0862903i −0.889860 0.456234i \(-0.849198\pi\)
0.840040 + 0.542524i \(0.182531\pi\)
\(332\) −0.789829 + 1.36802i −0.0433475 + 0.0750801i
\(333\) 27.2608 13.3016i 1.49388 0.728921i
\(334\) 0.642629 0.371022i 0.0351631 0.0203014i
\(335\) 4.61095 + 7.98640i 0.251923 + 0.436344i
\(336\) 4.12297 + 2.00028i 0.224927 + 0.109124i
\(337\) 7.15488 12.3926i 0.389751 0.675069i −0.602665 0.797995i \(-0.705894\pi\)
0.992416 + 0.122926i \(0.0392277\pi\)
\(338\) 2.34515i 0.127559i
\(339\) 3.29449 + 14.2646i 0.178932 + 0.774747i
\(340\) −0.994645 −0.0539422
\(341\) 11.0404 + 19.1225i 0.597871 + 1.03554i
\(342\) −1.18329 + 16.9622i −0.0639850 + 0.917209i
\(343\) −8.30875 + 16.5519i −0.448630 + 0.893717i
\(344\) 8.83852 5.10292i 0.476541 0.275131i
\(345\) 9.76567 9.10814i 0.525766 0.490366i
\(346\) −0.835055 + 0.482119i −0.0448928 + 0.0259189i
\(347\) −5.20049 + 3.00250i −0.279177 + 0.161183i −0.633051 0.774110i \(-0.718198\pi\)
0.353874 + 0.935293i \(0.384864\pi\)
\(348\) 1.84649 + 7.99501i 0.0989822 + 0.428577i
\(349\) −11.6157 + 6.70633i −0.621775 + 0.358982i −0.777560 0.628809i \(-0.783543\pi\)
0.155785 + 0.987791i \(0.450209\pi\)
\(350\) −0.953096 2.46812i −0.0509451 0.131926i
\(351\) −16.7517 + 2.65747i −0.894139 + 0.141845i
\(352\) −1.97842 3.42673i −0.105450 0.182645i
\(353\) −0.505383 −0.0268988 −0.0134494 0.999910i \(-0.504281\pi\)
−0.0134494 + 0.999910i \(0.504281\pi\)
\(354\) 4.31571 4.02513i 0.229378 0.213933i
\(355\) 2.74965i 0.145937i
\(356\) 6.92781 11.9993i 0.367173 0.635963i
\(357\) −4.10089 1.98956i −0.217042 0.105299i
\(358\) 0.107391 + 0.186006i 0.00567578 + 0.00983073i
\(359\) 11.2748 6.50952i 0.595062 0.343559i −0.172034 0.985091i \(-0.555034\pi\)
0.767097 + 0.641532i \(0.221701\pi\)
\(360\) −2.99273 0.208774i −0.157731 0.0110034i
\(361\) 6.56197 11.3657i 0.345367 0.598193i
\(362\) −5.58784 + 9.67842i −0.293690 + 0.508686i
\(363\) 5.50112 + 5.89826i 0.288734 + 0.309578i
\(364\) 5.42149 6.72246i 0.284163 0.352352i
\(365\) 12.7539 + 7.36348i 0.667570 + 0.385422i
\(366\) −3.18916 + 10.4344i −0.166700 + 0.545413i
\(367\) 32.0287i 1.67188i −0.548819 0.835942i \(-0.684922\pi\)
0.548819 0.835942i \(-0.315078\pi\)
\(368\) 6.67695 + 3.85494i 0.348060 + 0.200952i
\(369\) −25.6981 17.3274i −1.33779 0.902028i
\(370\) 10.1110i 0.525643i
\(371\) −9.70995 25.1447i −0.504116 1.30545i
\(372\) 2.17506 + 9.41764i 0.112771 + 0.488282i
\(373\) 6.80077 0.352130 0.176065 0.984379i \(-0.443663\pi\)
0.176065 + 0.984379i \(0.443663\pi\)
\(374\) 1.96783 + 3.40837i 0.101754 + 0.176243i
\(375\) 1.18136 + 1.26664i 0.0610052 + 0.0654092i
\(376\) 4.10432 + 2.36963i 0.211664 + 0.122204i
\(377\) 15.4638 0.796426
\(378\) −11.9213 6.84705i −0.613167 0.352174i
\(379\) 2.14646 0.110256 0.0551281 0.998479i \(-0.482443\pi\)
0.0551281 + 0.998479i \(0.482443\pi\)
\(380\) 4.90846 + 2.83390i 0.251799 + 0.145376i
\(381\) −24.3097 26.0646i −1.24542 1.33533i
\(382\) −9.44109 16.3524i −0.483048 0.836664i
\(383\) 0.710547 0.0363072 0.0181536 0.999835i \(-0.494221\pi\)
0.0181536 + 0.999835i \(0.494221\pi\)
\(384\) −0.389766 1.68763i −0.0198902 0.0861213i
\(385\) −6.57194 + 8.14898i −0.334937 + 0.415310i
\(386\) 5.89018i 0.299802i
\(387\) −27.5166 + 13.4264i −1.39875 + 0.682502i
\(388\) 0.776974 + 0.448586i 0.0394449 + 0.0227735i
\(389\) 19.6149i 0.994517i −0.867603 0.497258i \(-0.834340\pi\)
0.867603 0.497258i \(-0.165660\pi\)
\(390\) −1.65254 + 5.40682i −0.0836796 + 0.273785i
\(391\) −6.64119 3.83429i −0.335859 0.193908i
\(392\) 6.84115 1.48279i 0.345530 0.0748922i
\(393\) −5.91764 6.34484i −0.298505 0.320055i
\(394\) 12.0393 20.8527i 0.606531 1.05054i
\(395\) −0.920736 + 1.59476i −0.0463273 + 0.0802412i
\(396\) 5.20546 + 10.6683i 0.261584 + 0.536102i
\(397\) 20.7322 11.9697i 1.04052 0.600743i 0.120538 0.992709i \(-0.461538\pi\)
0.919980 + 0.391965i \(0.128205\pi\)
\(398\) −7.60658 13.1750i −0.381284 0.660402i
\(399\) 14.5688 + 21.5024i 0.729355 + 1.07646i
\(400\) −0.500000 + 0.866025i −0.0250000 + 0.0433013i
\(401\) 0.675625i 0.0337391i 0.999858 + 0.0168696i \(0.00537000\pi\)
−0.999858 + 0.0168696i \(0.994630\pi\)
\(402\) 11.6809 10.8944i 0.582589 0.543363i
\(403\) 18.2154 0.907376
\(404\) −0.107847 0.186797i −0.00536561 0.00929351i
\(405\) 8.91283 + 1.24961i 0.442882 + 0.0620936i
\(406\) 9.75657 + 7.86842i 0.484210 + 0.390503i
\(407\) −34.6475 + 20.0037i −1.71741 + 0.991548i
\(408\) 0.387679 + 1.67859i 0.0191930 + 0.0831025i
\(409\) −26.2888 + 15.1779i −1.29990 + 0.750497i −0.980386 0.197085i \(-0.936853\pi\)
−0.319513 + 0.947582i \(0.603519\pi\)
\(410\) −8.94721 + 5.16567i −0.441871 + 0.255114i
\(411\) −11.6996 + 10.9119i −0.577101 + 0.538244i
\(412\) −9.83240 + 5.67674i −0.484408 + 0.279673i
\(413\) 1.39237 8.90643i 0.0685138 0.438257i
\(414\) −19.1775 12.9307i −0.942521 0.635512i
\(415\) −0.789829 1.36802i −0.0387712 0.0671537i
\(416\) −3.26418 −0.160039
\(417\) 5.08205 + 22.0045i 0.248869 + 1.07756i
\(418\) 22.4266i 1.09692i
\(419\) −5.87786 + 10.1808i −0.287152 + 0.497363i −0.973129 0.230261i \(-0.926042\pi\)
0.685976 + 0.727624i \(0.259375\pi\)
\(420\) −3.79378 + 2.57046i −0.185117 + 0.125426i
\(421\) 14.4557 + 25.0380i 0.704526 + 1.22028i 0.966862 + 0.255299i \(0.0821739\pi\)
−0.262336 + 0.964977i \(0.584493\pi\)
\(422\) 5.38856 3.11109i 0.262311 0.151445i
\(423\) −11.7884 7.94854i −0.573172 0.386471i
\(424\) −5.09390 + 8.82289i −0.247382 + 0.428477i
\(425\) 0.497322 0.861388i 0.0241237 0.0417834i
\(426\) −4.64039 + 1.07172i −0.224828 + 0.0519251i
\(427\) 6.00392 + 15.5476i 0.290550 + 0.752402i
\(428\) −5.53564 3.19600i −0.267575 0.154485i
\(429\) 21.7971 5.03416i 1.05237 0.243051i
\(430\) 10.2058i 0.492169i
\(431\) −17.2762 9.97444i −0.832167 0.480452i 0.0224273 0.999748i \(-0.492861\pi\)
−0.854594 + 0.519297i \(0.826194\pi\)
\(432\) 0.814131 + 5.13198i 0.0391699 + 0.246912i
\(433\) 28.8157i 1.38479i −0.721517 0.692397i \(-0.756555\pi\)
0.721517 0.692397i \(-0.243445\pi\)
\(434\) 11.4927 + 9.26853i 0.551665 + 0.444904i
\(435\) −7.84713 2.39840i −0.376241 0.114994i
\(436\) 1.23133 0.0589701
\(437\) 21.8490 + 37.8436i 1.04518 + 1.81030i
\(438\) 7.45575 24.3939i 0.356249 1.16558i
\(439\) 7.07993 + 4.08760i 0.337907 + 0.195091i 0.659346 0.751840i \(-0.270833\pi\)
−0.321439 + 0.946930i \(0.604167\pi\)
\(440\) 3.95684 0.188635
\(441\) −20.7833 + 3.00933i −0.989679 + 0.143301i
\(442\) 3.24670 0.154430
\(443\) −22.7505 13.1350i −1.08091 0.624063i −0.149767 0.988721i \(-0.547852\pi\)
−0.931141 + 0.364659i \(0.881186\pi\)
\(444\) −17.0635 + 3.94091i −0.809798 + 0.187027i
\(445\) 6.92781 + 11.9993i 0.328410 + 0.568822i
\(446\) 5.04722 0.238993
\(447\) −27.9499 + 26.0680i −1.32199 + 1.23298i
\(448\) −2.05946 1.66090i −0.0973006 0.0784704i
\(449\) 6.39690i 0.301888i 0.988542 + 0.150944i \(0.0482314\pi\)
−0.988542 + 0.150944i \(0.951769\pi\)
\(450\) 1.67717 2.48739i 0.0790624 0.117257i
\(451\) 35.4027 + 20.4398i 1.66705 + 0.962471i
\(452\) 8.45246i 0.397571i
\(453\) −6.54216 7.01444i −0.307378 0.329567i
\(454\) 4.39908 + 2.53981i 0.206459 + 0.119199i
\(455\) 3.11107 + 8.05637i 0.145849 + 0.377689i
\(456\) 2.86941 9.38820i 0.134373 0.439643i
\(457\) 5.16337 8.94322i 0.241532 0.418346i −0.719619 0.694369i \(-0.755683\pi\)
0.961151 + 0.276023i \(0.0890167\pi\)
\(458\) −14.8280 + 25.6828i −0.692865 + 1.20008i
\(459\) −0.809771 5.10449i −0.0377969 0.238257i
\(460\) −6.67695 + 3.85494i −0.311314 + 0.179737i
\(461\) 4.00379 + 6.93476i 0.186475 + 0.322984i 0.944073 0.329738i \(-0.106960\pi\)
−0.757598 + 0.652722i \(0.773627\pi\)
\(462\) 16.3139 + 7.91478i 0.758994 + 0.368229i
\(463\) 15.2865 26.4770i 0.710425 1.23049i −0.254273 0.967132i \(-0.581836\pi\)
0.964698 0.263359i \(-0.0848304\pi\)
\(464\) 4.73743i 0.219930i
\(465\) −9.24345 2.82517i −0.428655 0.131014i
\(466\) 18.2928 0.847396
\(467\) 3.61017 + 6.25300i 0.167059 + 0.289354i 0.937385 0.348296i \(-0.113240\pi\)
−0.770326 + 0.637651i \(0.779906\pi\)
\(468\) 9.76879 + 0.681476i 0.451562 + 0.0315012i
\(469\) 3.76856 24.1061i 0.174016 1.11311i
\(470\) −4.10432 + 2.36963i −0.189318 + 0.109303i
\(471\) −27.8231 8.50385i −1.28202 0.391837i
\(472\) −2.95072 + 1.70360i −0.135818 + 0.0784146i
\(473\) 34.9726 20.1914i 1.60804 0.928404i
\(474\) 3.05023 + 0.932274i 0.140102 + 0.0428208i
\(475\) −4.90846 + 2.83390i −0.225215 + 0.130028i
\(476\) 2.04844 + 1.65201i 0.0938899 + 0.0757198i
\(477\) 17.0866 25.3410i 0.782344 1.16029i
\(478\) −3.49665 6.05638i −0.159933 0.277012i
\(479\) 18.2719 0.834864 0.417432 0.908708i \(-0.362930\pi\)
0.417432 + 0.908708i \(0.362930\pi\)
\(480\) 1.65641 + 0.506266i 0.0756044 + 0.0231078i
\(481\) 33.0039i 1.50485i
\(482\) 2.75793 4.77687i 0.125620 0.217581i
\(483\) −35.2398 + 2.53805i −1.60347 + 0.115485i
\(484\) −2.32830 4.03273i −0.105832 0.183306i
\(485\) −0.776974 + 0.448586i −0.0352806 + 0.0203692i
\(486\) −1.36505 15.5286i −0.0619198 0.704390i
\(487\) −19.2868 + 33.4057i −0.873967 + 1.51375i −0.0161074 + 0.999870i \(0.505127\pi\)
−0.857859 + 0.513885i \(0.828206\pi\)
\(488\) 3.14969 5.45543i 0.142580 0.246956i
\(489\) 0.875586 2.86476i 0.0395954 0.129549i
\(490\) −2.13644 + 6.66600i −0.0965146 + 0.301139i
\(491\) 21.3449 + 12.3235i 0.963282 + 0.556151i 0.897182 0.441662i \(-0.145611\pi\)
0.0661005 + 0.997813i \(0.478944\pi\)
\(492\) 12.2050 + 13.0861i 0.550246 + 0.589969i
\(493\) 4.71206i 0.212220i
\(494\) −16.0221 9.25035i −0.720867 0.416193i
\(495\) −11.8417 0.826087i −0.532247 0.0371298i
\(496\) 5.58041i 0.250568i
\(497\) −4.56691 + 5.66282i −0.204854 + 0.254012i
\(498\) −2.00087 + 1.86615i −0.0896609 + 0.0836240i
\(499\) 10.5180 0.470850 0.235425 0.971893i \(-0.424352\pi\)
0.235425 + 0.971893i \(0.424352\pi\)
\(500\) −0.500000 0.866025i −0.0223607 0.0387298i
\(501\) 1.25229 0.289224i 0.0559483 0.0129216i
\(502\) −0.239338 0.138182i −0.0106822 0.00616735i
\(503\) 19.4315 0.866406 0.433203 0.901296i \(-0.357383\pi\)
0.433203 + 0.901296i \(0.357383\pi\)
\(504\) 5.81666 + 5.40060i 0.259095 + 0.240562i
\(505\) 0.215695 0.00959830
\(506\) 26.4196 + 15.2534i 1.17450 + 0.678095i
\(507\) −1.18727 + 3.88453i −0.0527285 + 0.172518i
\(508\) 10.2889 + 17.8208i 0.456494 + 0.790671i
\(509\) 23.3328 1.03421 0.517105 0.855922i \(-0.327010\pi\)
0.517105 + 0.855922i \(0.327010\pi\)
\(510\) −1.64754 0.503554i −0.0729543 0.0222978i
\(511\) −14.0362 36.3479i −0.620925 1.60793i
\(512\) 1.00000i 0.0441942i
\(513\) −10.5474 + 27.4973i −0.465678 + 1.21403i
\(514\) 14.2818 + 8.24562i 0.629945 + 0.363699i
\(515\) 11.3535i 0.500294i
\(516\) 17.2236 3.97789i 0.758229 0.175117i
\(517\) 16.2402 + 9.37626i 0.714241 + 0.412367i
\(518\) −16.7933 + 20.8232i −0.737857 + 0.914917i
\(519\) −1.62727 + 0.375828i −0.0714294 + 0.0164970i
\(520\) 1.63209 2.82686i 0.0715718 0.123966i
\(521\) −11.8637 + 20.5486i −0.519759 + 0.900249i 0.479977 + 0.877281i \(0.340645\pi\)
−0.999736 + 0.0229682i \(0.992688\pi\)
\(522\) −0.989053 + 14.1778i −0.0432897 + 0.620547i
\(523\) 15.7239 9.07818i 0.687556 0.396961i −0.115140 0.993349i \(-0.536732\pi\)
0.802696 + 0.596388i \(0.203398\pi\)
\(524\) 2.50459 + 4.33807i 0.109413 + 0.189510i
\(525\) −0.329195 4.57074i −0.0143673 0.199483i
\(526\) 1.25464 2.17310i 0.0547050 0.0947519i
\(527\) 5.55052i 0.241785i
\(528\) −1.54224 6.67767i −0.0671175 0.290608i
\(529\) −36.4421 −1.58444
\(530\) −5.09390 8.82289i −0.221265 0.383242i
\(531\) 9.18638 4.48238i 0.398655 0.194519i
\(532\) −5.40196 13.9888i −0.234205 0.606491i
\(533\) 29.2053 16.8617i 1.26502 0.730360i
\(534\) 17.5501 16.3685i 0.759469 0.708334i
\(535\) 5.53564 3.19600i 0.239327 0.138175i
\(536\) −7.98640 + 4.61095i −0.344960 + 0.199163i
\(537\) 0.0837146 + 0.362471i 0.00361255 + 0.0156418i
\(538\) 23.1408 13.3603i 0.997670 0.576005i
\(539\) 27.0694 5.86716i 1.16596 0.252717i
\(540\) −4.85149 1.86093i −0.208775 0.0800817i
\(541\) 5.56494 + 9.63875i 0.239255 + 0.414402i 0.960501 0.278277i \(-0.0897634\pi\)
−0.721245 + 0.692680i \(0.756430\pi\)
\(542\) −14.9534 −0.642302
\(543\) −14.1556 + 13.2025i −0.607475 + 0.566574i
\(544\) 0.994645i 0.0426450i
\(545\) −0.615666 + 1.06636i −0.0263722 + 0.0456781i
\(546\) 12.3836 8.39043i 0.529967 0.359077i
\(547\) −15.8512 27.4550i −0.677747 1.17389i −0.975658 0.219299i \(-0.929623\pi\)
0.297911 0.954594i \(-0.403710\pi\)
\(548\) 7.99924 4.61836i 0.341711 0.197287i
\(549\) −10.5651 + 15.6690i −0.450908 + 0.668738i
\(550\) −1.97842 + 3.42673i −0.0843602 + 0.146116i
\(551\) 13.4254 23.2535i 0.571941 0.990631i
\(552\) 9.10814 + 9.76567i 0.387668 + 0.415654i
\(553\) 4.54497 1.75510i 0.193272 0.0746345i
\(554\) 12.3229 + 7.11465i 0.523552 + 0.302273i
\(555\) 5.11883 16.7479i 0.217282 0.710908i
\(556\) 13.0387i 0.552965i
\(557\) −28.2949 16.3360i −1.19889 0.692181i −0.238584 0.971122i \(-0.576683\pi\)
−0.960308 + 0.278941i \(0.910016\pi\)
\(558\) −1.16505 + 16.7006i −0.0493203 + 0.706994i
\(559\) 33.3137i 1.40902i
\(560\) 2.46812 0.953096i 0.104297 0.0402757i
\(561\) 1.53398 + 6.64191i 0.0647649 + 0.280422i
\(562\) −24.8939 −1.05009
\(563\) −12.2498 21.2172i −0.516267 0.894200i −0.999822 0.0188863i \(-0.993988\pi\)
0.483555 0.875314i \(-0.339345\pi\)
\(564\) 5.59878 + 6.00296i 0.235751 + 0.252770i
\(565\) 7.32005 + 4.22623i 0.307957 + 0.177799i
\(566\) −17.1797 −0.722115
\(567\) −16.2802 17.3769i −0.683703 0.729760i
\(568\) 2.74965 0.115373
\(569\) 18.5002 + 10.6811i 0.775567 + 0.447774i 0.834857 0.550467i \(-0.185550\pi\)
−0.0592899 + 0.998241i \(0.518884\pi\)
\(570\) 6.69571 + 7.17908i 0.280453 + 0.300699i
\(571\) 8.22432 + 14.2449i 0.344177 + 0.596132i 0.985204 0.171386i \(-0.0548246\pi\)
−0.641027 + 0.767518i \(0.721491\pi\)
\(572\) −12.9158 −0.540038
\(573\) −7.35963 31.8661i −0.307453 1.33122i
\(574\) 27.0062 + 4.22194i 1.12722 + 0.176220i
\(575\) 7.70987i 0.321524i
\(576\) 0.208774 2.99273i 0.00869893 0.124697i
\(577\) 17.2606 + 9.96542i 0.718569 + 0.414866i 0.814226 0.580549i \(-0.197162\pi\)
−0.0956570 + 0.995414i \(0.530495\pi\)
\(578\) 16.0107i 0.665957i
\(579\) 2.98200 9.75656i 0.123928 0.405469i
\(580\) 4.10273 + 2.36871i 0.170357 + 0.0983555i
\(581\) −0.645533 + 4.12923i −0.0267812 + 0.171309i
\(582\) 1.05988 + 1.13640i 0.0439336 + 0.0471052i
\(583\) −20.1558 + 34.9108i −0.834766 + 1.44586i
\(584\) −7.36348 + 12.7539i −0.304703 + 0.527761i
\(585\) −5.47457 + 8.11928i −0.226346 + 0.335691i
\(586\) 6.90578 3.98706i 0.285275 0.164704i
\(587\) 1.94532 + 3.36939i 0.0802918 + 0.139070i 0.903375 0.428851i \(-0.141081\pi\)
−0.823083 + 0.567920i \(0.807748\pi\)
\(588\) 12.0824 + 1.00733i 0.498271 + 0.0415416i
\(589\) 15.8143 27.3912i 0.651618 1.12863i
\(590\) 3.40720i 0.140272i
\(591\) 30.4990 28.4455i 1.25456 1.17009i
\(592\) 10.1110 0.415558
\(593\) −7.52066 13.0262i −0.308836 0.534920i 0.669272 0.743018i \(-0.266606\pi\)
−0.978108 + 0.208097i \(0.933273\pi\)
\(594\) 3.22139 + 20.3064i 0.132175 + 0.833183i
\(595\) −2.45490 + 0.947992i −0.100641 + 0.0388639i
\(596\) 19.1098 11.0331i 0.782769 0.451932i
\(597\) −5.92958 25.6741i −0.242681 1.05077i
\(598\) 21.7947 12.5832i 0.891253 0.514565i
\(599\) 23.6663 13.6638i 0.966979 0.558286i 0.0686653 0.997640i \(-0.478126\pi\)
0.898314 + 0.439354i \(0.144793\pi\)
\(600\) −1.26664 + 1.18136i −0.0517105 + 0.0482288i
\(601\) −10.2307 + 5.90670i −0.417319 + 0.240939i −0.693930 0.720043i \(-0.744122\pi\)
0.276610 + 0.960982i \(0.410789\pi\)
\(602\) 16.9509 21.0186i 0.690868 0.856653i
\(603\) 24.8638 12.1320i 1.01253 0.494052i
\(604\) 2.76891 + 4.79589i 0.112665 + 0.195142i
\(605\) 4.65660 0.189318
\(606\) −0.0840706 0.364012i −0.00341514 0.0147870i
\(607\) 0.740209i 0.0300441i −0.999887 0.0150221i \(-0.995218\pi\)
0.999887 0.0150221i \(-0.00478185\pi\)
\(608\) −2.83390 + 4.90846i −0.114930 + 0.199064i
\(609\) 12.1774 + 17.9727i 0.493452 + 0.728292i
\(610\) 3.14969 + 5.45543i 0.127527 + 0.220884i
\(611\) 13.3972 7.73490i 0.541994 0.312920i
\(612\) −0.207656 + 2.97670i −0.00839400 + 0.120326i
\(613\) 8.29710 14.3710i 0.335117 0.580439i −0.648390 0.761308i \(-0.724558\pi\)
0.983507 + 0.180869i \(0.0578909\pi\)
\(614\) −7.78327 + 13.4810i −0.314107 + 0.544050i
\(615\) −17.4355 + 4.02681i −0.703065 + 0.162377i
\(616\) −8.14898 6.57194i −0.328332 0.264791i
\(617\) −40.0027 23.0956i −1.61045 0.929793i −0.989266 0.146128i \(-0.953319\pi\)
−0.621184 0.783665i \(-0.713348\pi\)
\(618\) −19.1604 + 4.42520i −0.770746 + 0.178008i
\(619\) 18.0967i 0.727366i 0.931523 + 0.363683i \(0.118481\pi\)
−0.931523 + 0.363683i \(0.881519\pi\)
\(620\) 4.83278 + 2.79020i 0.194089 + 0.112057i
\(621\) −25.2194 31.1275i −1.01202 1.24910i
\(622\) 20.1669i 0.808618i
\(623\) 5.66215 36.2186i 0.226849 1.45107i
\(624\) −5.40682 1.65254i −0.216446 0.0661546i
\(625\) 1.00000 0.0400000
\(626\) 3.33602 + 5.77815i 0.133334 + 0.230941i
\(627\) 11.3538 37.1476i 0.453427 1.48353i
\(628\) 14.5468 + 8.39860i 0.580481 + 0.335141i
\(629\) −10.0568 −0.400991
\(630\) −7.58539 + 2.33708i −0.302209 + 0.0931114i
\(631\) 8.36756 0.333107 0.166554 0.986032i \(-0.446736\pi\)
0.166554 + 0.986032i \(0.446736\pi\)
\(632\) −1.59476 0.920736i −0.0634362 0.0366249i
\(633\) 10.5007 2.42519i 0.417365 0.0963928i
\(634\) −12.7708 22.1197i −0.507193 0.878484i
\(635\) −20.5777 −0.816602
\(636\) −12.9043 + 12.0355i −0.511689 + 0.477237i
\(637\) 6.97372 21.7590i 0.276309 0.862124i
\(638\) 18.7453i 0.742132i
\(639\) −8.22896 0.574057i −0.325533 0.0227093i
\(640\) −0.866025 0.500000i −0.0342327 0.0197642i
\(641\) 17.2032i 0.679485i −0.940518 0.339743i \(-0.889660\pi\)
0.940518 0.339743i \(-0.110340\pi\)
\(642\) −7.55127 8.09640i −0.298025 0.319539i
\(643\) −33.1046 19.1129i −1.30552 0.753740i −0.324172 0.945998i \(-0.605086\pi\)
−0.981344 + 0.192258i \(0.938419\pi\)
\(644\) 20.1536 + 3.15067i 0.794164 + 0.124154i
\(645\) −5.16687 + 16.9051i −0.203445 + 0.665636i
\(646\) 2.81872 4.88217i 0.110901 0.192086i
\(647\) −7.26184 + 12.5779i −0.285492 + 0.494487i −0.972728 0.231947i \(-0.925490\pi\)
0.687236 + 0.726434i \(0.258824\pi\)
\(648\) −1.24961 + 8.91283i −0.0490893 + 0.350129i
\(649\) −11.6755 + 6.74088i −0.458305 + 0.264603i
\(650\) 1.63209 + 2.82686i 0.0640158 + 0.110879i
\(651\) 14.3442 + 21.1708i 0.562194 + 0.829750i
\(652\) −0.864749 + 1.49779i −0.0338662 + 0.0586580i
\(653\) 20.8516i 0.815987i 0.912985 + 0.407994i \(0.133771\pi\)
−0.912985 + 0.407994i \(0.866229\pi\)
\(654\) 2.03959 + 0.623381i 0.0797543 + 0.0243761i
\(655\) −5.00917 −0.195725
\(656\) −5.16567 8.94721i −0.201686 0.349330i
\(657\) 24.6996 36.6317i 0.963622 1.42914i
\(658\) 12.3884 + 1.93672i 0.482952 + 0.0755011i
\(659\) −19.3743 + 11.1857i −0.754715 + 0.435735i −0.827395 0.561621i \(-0.810178\pi\)
0.0726801 + 0.997355i \(0.476845\pi\)
\(660\) 6.55415 + 2.00321i 0.255120 + 0.0779750i
\(661\) −38.5676 + 22.2670i −1.50011 + 0.866086i −0.500106 + 0.865964i \(0.666705\pi\)
−1.00000 0.000121967i \(0.999961\pi\)
\(662\) 1.56991 0.906390i 0.0610164 0.0352279i
\(663\) 5.37786 + 1.64369i 0.208859 + 0.0638357i
\(664\) 1.36802 0.789829i 0.0530896 0.0306513i
\(665\) 14.8156 + 2.31617i 0.574526 + 0.0898171i
\(666\) −30.2593 2.11091i −1.17252 0.0817960i
\(667\) 18.2625 + 31.6316i 0.707126 + 1.22478i
\(668\) −0.742044 −0.0287105
\(669\) 8.36027 + 2.55524i 0.323227 + 0.0987911i
\(670\) 9.22190i 0.356273i
\(671\) 12.4628 21.5863i 0.481123 0.833329i
\(672\) −2.57046 3.79378i −0.0991576 0.146348i
\(673\) −2.10536 3.64659i −0.0811557 0.140566i 0.822591 0.568634i \(-0.192528\pi\)
−0.903747 + 0.428068i \(0.859194\pi\)
\(674\) −12.3926 + 7.15488i −0.477346 + 0.275596i
\(675\) 4.03736 3.27105i 0.155398 0.125903i
\(676\) 1.17257 2.03096i 0.0450990 0.0781138i
\(677\) −19.8282 + 34.3434i −0.762059 + 1.31992i 0.179729 + 0.983716i \(0.442478\pi\)
−0.941788 + 0.336209i \(0.890855\pi\)
\(678\) 4.27919 14.0007i 0.164341 0.537696i
\(679\) 2.34521 + 0.366633i 0.0900009 + 0.0140701i
\(680\) 0.861388 + 0.497322i 0.0330327 + 0.0190714i
\(681\) 6.00086 + 6.43407i 0.229953 + 0.246554i
\(682\) 22.0808i 0.845517i
\(683\) 39.4682 + 22.7869i 1.51021 + 0.871918i 0.999929 + 0.0119087i \(0.00379073\pi\)
0.510278 + 0.860010i \(0.329543\pi\)
\(684\) 9.50585 14.0980i 0.363465 0.539052i
\(685\) 9.23672i 0.352917i
\(686\) 15.4715 10.1800i 0.590706 0.388673i
\(687\) −37.5635 + 35.0343i −1.43314 + 1.33664i
\(688\) −10.2058 −0.389094
\(689\) 16.6274 + 28.7995i 0.633453 + 1.09717i
\(690\) −13.0114 + 3.00505i −0.495335 + 0.114400i
\(691\) −17.0955 9.87010i −0.650344 0.375476i 0.138244 0.990398i \(-0.455854\pi\)
−0.788588 + 0.614922i \(0.789187\pi\)
\(692\) 0.964238 0.0366548
\(693\) 23.0156 + 21.3693i 0.874291 + 0.811753i
\(694\) 6.00500 0.227947
\(695\) 11.2919 + 6.51936i 0.428325 + 0.247293i
\(696\) 2.39840 7.84713i 0.0909110 0.297445i
\(697\) 5.13801 + 8.89930i 0.194616 + 0.337085i
\(698\) 13.4127 0.507677
\(699\) 30.3003 + 9.26100i 1.14606 + 0.350283i
\(700\) −0.408654 + 2.61400i −0.0154457 + 0.0988000i
\(701\) 13.6845i 0.516855i −0.966031 0.258427i \(-0.916796\pi\)
0.966031 0.258427i \(-0.0832043\pi\)
\(702\) 15.8361 + 6.07441i 0.597696 + 0.229264i
\(703\) 49.6292 + 28.6534i 1.87180 + 1.08068i
\(704\) 3.95684i 0.149129i
\(705\) −7.99811 + 1.84721i −0.301226 + 0.0695698i
\(706\) 0.437675 + 0.252692i 0.0164721 + 0.00951017i
\(707\) −0.444216 0.358249i −0.0167065 0.0134733i
\(708\) −5.75008 + 1.32801i −0.216101 + 0.0499098i
\(709\) 3.49061 6.04592i 0.131093 0.227059i −0.793005 0.609215i \(-0.791485\pi\)
0.924098 + 0.382155i \(0.124818\pi\)
\(710\) −1.37483 + 2.38127i −0.0515963 + 0.0893675i
\(711\) 4.58046 + 3.08846i 0.171781 + 0.115826i
\(712\) −11.9993 + 6.92781i −0.449694 + 0.259631i
\(713\) 21.5121 + 37.2601i 0.805635 + 1.39540i
\(714\) 2.55669 + 3.77346i 0.0956819 + 0.141218i
\(715\) 6.45792 11.1854i 0.241512 0.418312i
\(716\) 0.214781i 0.00802676i
\(717\) −2.72576 11.8021i −0.101795 0.440757i
\(718\) −13.0190 −0.485866
\(719\) −7.49920 12.9890i −0.279673 0.484408i 0.691630 0.722252i \(-0.256893\pi\)
−0.971303 + 0.237844i \(0.923559\pi\)
\(720\) 2.48739 + 1.67717i 0.0926996 + 0.0625043i
\(721\) −18.8571 + 23.3821i −0.702273 + 0.870795i
\(722\) −11.3657 + 6.56197i −0.422986 + 0.244211i
\(723\) 6.98663 6.51622i 0.259835 0.242341i
\(724\) 9.67842 5.58784i 0.359696 0.207670i
\(725\) −4.10273 + 2.36871i −0.152372 + 0.0879718i
\(726\) −1.81499 7.85860i −0.0673604 0.291660i
\(727\) 22.4642 12.9697i 0.833152 0.481020i −0.0217788 0.999763i \(-0.506933\pi\)
0.854931 + 0.518742i \(0.173600\pi\)
\(728\) −8.05637 + 3.11107i −0.298589 + 0.115304i
\(729\) 5.60051 26.4128i 0.207426 0.978251i
\(730\) −7.36348 12.7539i −0.272534 0.472044i
\(731\) 10.1512 0.375455
\(732\) 7.97908 7.44185i 0.294915 0.275059i
\(733\) 22.7143i 0.838973i 0.907762 + 0.419486i \(0.137790\pi\)
−0.907762 + 0.419486i \(0.862210\pi\)
\(734\) −16.0143 + 27.7376i −0.591100 + 1.02382i
\(735\) −6.91359 + 9.96003i −0.255012 + 0.367381i
\(736\) −3.85494 6.67695i −0.142095 0.246116i
\(737\) −31.6009 + 18.2448i −1.16404 + 0.672056i
\(738\) 13.5915 + 27.8550i 0.500310 + 1.02536i
\(739\) −6.74623 + 11.6848i −0.248164 + 0.429833i −0.963016 0.269443i \(-0.913161\pi\)
0.714852 + 0.699275i \(0.246494\pi\)
\(740\) −5.05548 + 8.75634i −0.185843 + 0.321890i
\(741\) −21.8560 23.4338i −0.802900 0.860862i
\(742\) −4.16328 + 26.6309i −0.152839 + 0.977652i
\(743\) −32.3371 18.6698i −1.18633 0.684930i −0.228862 0.973459i \(-0.573500\pi\)
−0.957471 + 0.288529i \(0.906834\pi\)
\(744\) 2.82517 9.24345i 0.103576 0.338881i
\(745\) 22.0661i 0.808440i
\(746\) −5.88964 3.40038i −0.215635 0.124497i
\(747\) −4.25902 + 2.07813i −0.155829 + 0.0760350i
\(748\) 3.93565i 0.143902i
\(749\) −16.7087 2.61212i −0.610523 0.0954447i
\(750\) −0.389766 1.68763i −0.0142323 0.0616234i
\(751\) −30.6698 −1.11916 −0.559579 0.828777i \(-0.689037\pi\)
−0.559579 + 0.828777i \(0.689037\pi\)
\(752\) −2.36963 4.10432i −0.0864116 0.149669i
\(753\) −0.326485 0.350054i −0.0118978 0.0127567i
\(754\) −13.3920 7.73190i −0.487710 0.281579i
\(755\) −5.53782 −0.201542
\(756\) 6.90064 + 11.8904i 0.250974 + 0.432449i
\(757\) −22.5697 −0.820308 −0.410154 0.912016i \(-0.634525\pi\)
−0.410154 + 0.912016i \(0.634525\pi\)
\(758\) −1.85889 1.07323i −0.0675179 0.0389815i
\(759\) 36.0395 + 38.6412i 1.30815 + 1.40259i
\(760\) −2.83390 4.90846i −0.102796 0.178048i
\(761\) 20.2312 0.733382 0.366691 0.930343i \(-0.380491\pi\)
0.366691 + 0.930343i \(0.380491\pi\)
\(762\) 8.02050 + 34.7275i 0.290552 + 1.25804i
\(763\) 3.03907 1.17358i 0.110022 0.0424864i
\(764\) 18.8822i 0.683133i
\(765\) −2.47407 1.66819i −0.0894502 0.0603134i
\(766\) −0.615351 0.355273i −0.0222335 0.0128365i